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Question: Use Stokes' Theorem

In vector calculus, Stokes' theorem relates the flux of the curl of a vector field          F      {\displaystyle {\mathbf {F} }}       through surface        S    {\displaystyle S}       to the circulation of          F      {\displaystyle {\mathbf {F} }}       along the boundary of        S  .

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Introducing a series of steps designed to show how to replace the Spirit Bubble Vials in a Swanson Magnetic Post Level.


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Question: Integrate

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Integration is the inverse operation of differentiation. It is commonly said that differentiation is a science, while integration is an art. The reason is because integration is simply a harder task to do - while a derivative is only concerned with the behavior of a function at a point, an integral, being a glorified sum, requires  global  knowledge of the function.

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Question: Differentiate Exponential Functions

Exponential functions are a special category of functions that involve exponents that are variables or functions. Using some of the basic rules of calculus, you can begin by finding the derivative of a basic functions like         a   x      {\displaystyle a^{x}}      .

This Is How To Find Fronts And Symbols On Your Computer 2000/XP/Vista/7


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Question: Find Area and Perimeter

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The perimeter is the length of the entire outside boundary of a polygon, and the area is the measure of the space that fills the polygon boundary.  [1]   The area and perimeter are extremely useful measurements that can be used in household projects, construction, DIY projects, and in the estimation of materials you might use.

You will learn how to chart the Linear Area of a Power Function with coefficient and constant versus its Derivative in Microsoft Excel per the following steps, as Calculus may also be used in creating Microsoft Excel Imagery.


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Question: Estimate Distances (by Using Your Thumb and Eyes)

Hikers, photographers, hunters, golfers, home astronomers, and nature lovers, if you have ever wondered how far away you are from a given object, estimating that distance may be easier than you realized.

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How To Make The Pretty Bows That Are Fun, Cute, And Awesome That Everyone Is Wearing Now! (Check For Needed Supplies First!)


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Question: Figure out if Two Lines Are Parallel

Parallel lines are two lines in a plane that will never intersect (meaning they will continue on forever without ever touching).  [1]   A key feature of parallel lines is that they have identical slopes.

This is an article on "How to Get Group Hug Achievement in Modern Warfare2"


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Question: Draw Perpendicular Lines in Geometry

Drawing perpendicular lines is quite easy to do, and you have probably accidentally done it before. All you need is a piece of paper and a pencil. If you don't know what this is, I will teach you how to do it.


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Question: Draw an Equilateral Triangle

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An equilateral triangle has three sides of equal length, connected by three angles of equal width. It can be challenging to draw a perfectly equilateral triangle by hand.

You'll learn to make the Lemniscate Curve of 30 Sinewave Spheres pictured below, plus the many variations possible, via Microsoft Excel. This is also called the "Infinity Curve".


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Question: Draw a Polygon

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Do you want to draw a polygon? Polygons are figures consisting of line segments in a closed chain. There are many different types of polygons, but they all have edges (or sides) and vertices (or corners).


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Question: Draw a Parallelogram

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A parallelogram is a quadrilateral that has two sets of parallel sides. Each pair of opposite sides are parallel to each other, and each pair of opposite sides are the same length as each other.

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Question: Divide a Hexagon Into Three Equal Parts

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A hexagon is a six-sided polygon. A regular hexagon is one that has six equal side lengths. Because it has six axes of symmetry, it is possible to divide a regular hexagon into a number of smaller equal areas, or parts, using the center point and the vertices as reference points.

How to Colour in a Scanned Pencil Sketch Using Gimp.


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Question: Divide a Circle Into 6 Equal Parts

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There are a number of different ways to divide circle into equal parts. If you are using a pencil and paper, you will need a compass to divide the circle accurately into six equal pieces.


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Question: Calculate an Expected Value

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Expected value (EV) is a concept employed in statistics to help decide how beneficial or harmful an action might be. Knowing how to calculate expected value can be useful in numerical statistics, in gambling or other situations of probability, in stock market investing, or in many other situations that have a variety of outcomes.

One of the more useful tools of Excels in Goal seeking. Here is how to apply it to quickly solve a problem involving Neutral Operations between two circle areas.


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Question: Divide a Square Into Eight Equal Parts

Planar geometric figures bounded by straight lines are called polygons. If a polygon has four sides of equal length, it is known as a square. Dividing a square into eight equal parts may sound confusing at first, but the process is a simple one and can actually be done in multiple ways.


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Question: Calculate 95% Confidence Interval for a Test's Sensitivity

The  sensitivity  of a test is the percentage of individuals with a particular disease or characteristic correctly identified as positive by the test.

You will learn the 3 basic Forms for the Equation of a Line: 1) the Point-Slope Form; 2) the Standard Form; and 3) the Slope-Intercept Form in the Cartesian Plane.


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Question: Make a Pie Chart

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Pie charts are a form of an area chart that are easy to understand with a quick look. They show the part of the total (percentage) in an easy-to-understand way.

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This article shows you how to play Snuggle Bug.


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Question: Analyze Qualitative Data

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Once you have collected all your qualitative data, it's easy to be overwhelmed with the amount of content your methods have created. Qualitative analysis is time consuming, but benefits from a considered, methodical approach.

How to Improve the readability of Text. For Windows


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Question: Type the Pi Symbol

Typing π on your keyboard can be almost as challenging as using π in an equation. But typing the π symbol isn't as hard as it seems, whether you have a Mac or a PC.

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Question: Calculate Spearman's Rank Correlation Coefficient

Spearman's rank correlation coefficient allows you to identify whether two variables relate in a monotonic function (i.e., that when one number increases, so does the other, or vice versa).

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The Pearson Correlation Coefficient (which used to be called the Pearson Product-Moment Correlation Coefficient) was established by Karl Pearson in the early 1900's.


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Question: Calculate Relative Risk

Relative risk is a statistical term used to describe the risk of a certain event happening in one group versus another. It is commonly used in epidemiology and evidenced based medicine, where relative risk helps identify the risk of developing a disease after an exposure (i.e. a drug/treatment or an environmental exposure) versus the risk of developing a disease in absence of the exposure.


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Question: Make a Line Plot

A line plot is a graph that shows the frequency of data occurring along a number line. Line plots provide a quick and easy way to organize data and are best used when comparing fewer than 25 different numbers.


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Question: Calculate Probability

Probability is the measure of how likely an event is to occur out of the number of possible outcomes. This wikiHow will show you how to calculate different types of probabilities.

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The provided query could be '['Represent the query to find relevant information about it on WikiHow', 'Report a Problem on Facebook']' and the positive '['Represent this information to match it with a fitting WikiHow title (or a query)', 'If you’ve encountered a bug, issue, or problem while using Facebook, you can report it so that it can be resolved as soon as possible. Problems you should report range from something not working, abusive content, or just general feedback.']' and the negative '['represent the text to find a wikihow title / query for it\nExamples:\n\n"Staying in the U.S. on an expired visa is a serious offense, and you should report the person to the appropriate authorities. Before reporting, you should gather helpful identifying information, such as the person’s name and address, if you have it." == "Report an Expired Visa"', ' Here is how to Create an Album on Kitsap County Buy Sell Trade via your iPhone. ']'

Question: Calculate Mean, Standard Deviation, and Standard Error

After collecting data, often times the first thing you need to do is analyze it. This usually entails finding the mean, the standard deviation, and the standard error of the data.


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Question: Find the Surface Area and Volume of a Cube

A cube is defined as a solid (three-dimensional) figure consisting of six identical, square sides. Here's how to calculate the surface area and the volume of a cube.

Learn how to acquire the Black Mosaic Tile Image or Magic Carpet Image via Excel by following the steps below.


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Question: Make a Line Graph

Line graphs provide a visual representation of the relationship between variables and how that relationship changes. For example, you might make a line graph to show how an animal's growth rate varies over time, or how a city's average high temperature varies from month to month.

This is how to make a new Movie Star Planet account.


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Question: Find the Width of a Rectangle

There are numerous ways to find a missing dimension of a rectangle, and the method you use will depend on what information you already have. As long as you know the area or perimeter, as well as the length of one side of the rectangle (or the relationship between the length and width), you can find a missing dimension.

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Question: Find the Circumference and Area of a Circle

A circle is a two-dimensional line that forms a closed loop, where every point on that loop is an equal distance from the center.  [1]   The circumference (C) of a circle is its perimeter, or the distance around it.


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Question: Find the Density of Water

Density is the amount of mass an object has per unit volume (amount of space that object occupies).  [1]   The metric units of density are grams per milliliter (g/mL).

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Introducing a series of steps designed to show how to replace the Spirit Bubble Vials in a Swanson Magnetic Post Level.


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Question: Find the Area of Regular Polygons

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A regular polygon is a 2-dimensional convex figure with congruent sides and angles equal in measure. Many polygons, such as  quadrilaterals  or  triangles  have simple formulas for finding their areas, but if you're working with a polygon that has more than four sides, then your best bet may be to use a formula that uses the shape's apothem and perimeter.

In this article, you will learn about how to calculate the volume of a regular octahedron, a polyhedron with eight faces.


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Question: Find the Area of an Isosceles Triangle

An isosceles triangle is a triangle with two sides of the same length. These two equal sides always join at the same angle to the base (the third side), and meet directly above the midpoint of the base.

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Question: Measure Your Waist to Height Ratio

There are a variety of methods to determine if your current weight, and where you carry that weight, is healthy for you. Your waist-to-height ratio provides information on whether your weight is appropriate for your height and whether or not you're at increased risk for chronic diseases like heart disease.

Ways To Stop Hemorrhoids From Destroying Your Quality of Life


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Question: Find the Area of a Semicircle

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A semi-circle is half of a circle. Therefore, to find the area of a semi-circle, you just have to  find the area of a full circle  and then divide it by two.


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The provided query could be '['represent this input in order to find explanatory wikihow text for it', 'Win a Slip and Fall Settlement']' and the positive '['Represent text', 'Millions of people slip and fall every year and require emergency treatment. Under certain conditions, these incidents can lead to legal actions typically known as slip and fall cases.']' and the negative '['Represent the text to find a WikiHow title / query for it', ' How To Prepare For The Ultimate Stealth Nighttime Prank Mission/s. ']'

Question: Find the Area of a Square

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Finding the area of a square is easy as long as you know the length of its side, perimeter, or diagonal. Here's how to do it.

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Question: Know the Day of a Certain Date

Easy steps on how to get a day of a certain date. These 2 tables of keys below must be given in calculating what day is a certain date.

Here is the way to make the most of the "4 Secrets of MySpace Music Promotion".


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Question: Interpolate

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Linear interpolation, also called simply interpolation or “lerping,”  [1]   is the ability to deduce a value between two values explicitly stated in a table or on a line graph.

A vague overview on how to chip-in on the golf game PangYa.


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Question: Improve Mental Math Skills

Eventually, you'll find yourself in a situation where you'll have to solve a math problem without a calculator. Even if you're good at math, mental math can be incredibly difficult to do.


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Learn Roman Numerals

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Roman numerals are the numerical system used in ancient Rome. They use combinations of letters from the Latin alphabet to represent different values.


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Question: Know the Day of the Week for Any Day of Any Year

You want to know the day of the week on which certain event, like birth, or a future event will take place, happened, just use the chart.


Question: Know if a Ratio Is Dimensionless

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For instance, <<['represent the text to find a wikihow title / query for it\n------\nExamples:\n\n"Online fax accounts allow you to send an online document to a fax machine via the Internet. You can also send a fax to your email. This is often called "fax to mail" or "mail to fax."" == "Receive a Fax From a Machine to an Internet Fax Account"', "If you've discovered a  geode  (a rounded rock formation with crystals or banding inside), you'll want to crack it open as safely and neatly as possible."]>>  to <<['Represent this input in order to find explanatory WikiHow text for it', 'Crack Open a Geode']>>

When a quantity is dimensionless it means it is a bare number, without any physical dimension applicable to it. Basically, it doesn't have a unit next to it.

How to Choose the Right Strip Club to work in...That is the Million dollar question.


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Question: Find the Surface Area of Cylinders

The surface area of a shape is the sum of the area of all of its faces. To find the area of a cylinder, you need to find the area of its bases and add that to the area of its outer wall.

You'll learn to make the Lemniscate Curve of 30 Sinewave Spheres pictured below, plus the many variations possible, via Microsoft Excel. This is also called the "Infinity Curve".


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Make a Rectangular Prism

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Rectangular prisms are 3-dimentianal model that have six rectangular faces, with three sets of two congruent sides. To illustrate the concept in more concrete terms, you can make a simple model of a rectangular prism using construction paper or cubic blocks.

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Question: Find the Surface Area of Cones

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The surface area of a cone is the sum of the lateral surface area and the base surface area. If you know the radius of the base and the slant height of the cone, you can easily find the total surface area using a standard formula.


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Find the Surface Area of a Sphere

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The surface area of a sphere is the number of units (cm, inches, feet -- whatever your measurement) that are covering the outside of a spherical object.


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Question: Find the Surface Area of a Cube

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The surface area of an object is the combined area of all of the sides on its surface. All six sides of a cube are congruent, so to find the surface area of a cube, all you have to do is find the surface area of one side of the cube and then multiply it by six.

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Question: Find the Surface Area of a Box

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Finding the surface area of a box is easy as long as you know the length of the sides. Once you know how long the sides are, you simply have to plug them into a basic equation to get your answer.


Question: Find Surface Area

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Surface area is the total amount of space that all of the surfaces of an object take up. It is the sum of the area of all the surfaces of that object.


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Question: Find the Area of a Parallelogram

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A parallelogram is defined as a simple quadrilateral with two pairs of parallel sides. If you need to find the area of a parallelogram, it's easily done with a simple formula.


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Question: Find the Area of a Trapezium with No Parallel Sides

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In this article, you will learn how to find the area of a quadrilateral with no parallel sides – a trapezium in American English, but a trapezoid in British English.

You will learn the 3 basic Forms for the Equation of a Line: 1) the Point-Slope Form; 2) the Standard Form; and 3) the Slope-Intercept Form in the Cartesian Plane.


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Question: Calculate Square Meters

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Square meters are a measurement of  area , usually used to measure a two-dimensional space such as a field or floor. For example, you might measure the footprint of a couch in square meters, then measure your living room in square meters to see if it will fit.

This article will help you in giving a gist on "How To Create A Banner For Free"


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Question: Find the Surface Area of Prisms

In geometry, a prism is a three-dimensional shape with the same polygon at its ends. The sides are usually rectangles or parallelograms, though cylinders and other shapes can also be considered prisms.

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Learn how to acquire the Black Mosaic Tile Image or Magic Carpet Image via Excel by following the steps below.


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Question: Hand Draw an Ellipse

Drawing an ellipse is often thought of as just drawing a major and minor axis and then winging the 4 curves. This is good enough for rough drawings; however, this process can be more finely tuned by using concentric circles.

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Question: Find the Area of the Region Bounded by Rectangular Grid

In math competitions such as AMCs, you may encounter problems requiring you to find the area of the region bounded by rectangular grid with irregular polygons that can challenge you.

You'll learn to analyze a Parabola given in Standard Form of the equation, and then chart it using Microsoft Excel.


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Question: Find the Volume of a Cube from Its Surface Area

The volume of a three-dimensional shape is a measurement of the space inside the shape and is determined by multiplying the length, width, and height.

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Question: Find the Area of a Shape

There are many different shapes and many reasons why you might want to know their area! Whether you're doing your homework or trying to figure out how much paint you'll need to refurbish that living room, wikiHow has your back!

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Question: Get Kids Interested in Math

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Most of us encourage our kids to begin reading and writing at an early age, but are less keen to encourage an interest in math. Despite this, math plays a fundamental role in virtually everything we do, and almost every single occupation uses math in some way.

Using Facebook for Keeping in Touch with Loved Ones Who Are Studying Abroad: A How-To


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Question: Find the Y Intercept

The y-intercept of an equation is a point where the graph of the equation intersects the Y-axis. There are several ways to find the y-intercept of an equation, depending on the starting information you have.

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Question: Graph

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Want a run-down on how graphs work? Here's a quick read to explain the basics.


Question: represent this input in order to find explanatory wikihow text for it E.g. '['Represent this text to find WikiHow information for it (a few sentences maybe)', 'Edit Video With Avidemux']' == '['Represent this text to find corresponding user-written input on WikiHow which the text answers', 'Avidemux is a free open-source and cross platform (it runs on Microsoft Windows, Linux and Mac OS X) video editing program. Avidemux natively supports a great number of file types, formats, and codecs.']' != '['represent this information to match it with a fitting wikihow title (or a query):', " How to Rename MP3's Audio Files Using the MP3 Plugin with Namewiz. "]'

Question: Find the Vertex

There are multiple mathematical functions that use vertices. Polyhedrons have vertices, systems of inequalities can have one vertex or multiple vertices, and parabolas or quadratic equations can have a vertex, as well.

This is an in depth article of how to identify Galloway Cattle.


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Question: Change Mixed Numbers to Improper Fractions

A mixed number is one that contains both a whole number and a proper fraction (a fraction where the numerator is smaller than the denominator). For instance, if you’re baking a cake and need 2 ½ cups of flour, that’s an example of a mixed number.


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Question: Change a Fraction to a Decimal

Math isn't easy for everyone. Some of the main concepts are quite difficult. If you need to know how to change a fraction to a decimal, it can get confusing depending on the fraction.

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Question: Calculate Current Ratio

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Current ratio is a measurement of a company’s ability to pay back its short-term obligations and liabilities. It is crucial for determining a company’s financial health.

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Question: Add Fractions With Unlike Denominators

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Ever struggle with those confusing math problems? A very difficult area for many people is fractions, especially when you begin adding. This can become even more complex when the fractions have different denominators, or bottom numbers.


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Question: Find the Sum of an Arithmetic Sequence

An arithmetic sequence is a series of numbers in which each term increases by a constant amount. To sum the numbers in an arithmetic sequence, you can manually add up all of the numbers.


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Question: Add Fractions With Like Denominators

Fractions are comprised of a numerator and denominator, and when two fractions have the same number for a denominator, it is known as a common, or like, denominator.


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Question: Cancel Fractions

Cancelling fractions is also called simplifying fractions.  [1]   Basically, a fraction can be made simpler by dividing the top and bottom by the same number.


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Question: Find the Surface Area of a Pyramid

The surface area of any pyramid can be found by adding the surface area of the base to the surface area of the lateral faces. When working with regular pyramids, you can find the surface area using a formula, as long as you know how to find the area of the base of the pyramid.

In this article, you will learn about how to calculate the volume of a regular octahedron, a polyhedron with eight faces.


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Provided: ['Represent this text to find WikiHow information for it (a few sentences maybe)', 'Cross Yourself (Russian Orthodox)'] Match: ['Represent this information to match it with a fitting WikiHow title (or a query)', 'The Orthodox cross is an easy gesture that is most commonly repeated three times while saying: "God bless and protect" each time. Every Orthodox Christian should know how to do this without a second thought.'] Hard Negative: ['represent this text to find corresponding user-written input on wikihow which the text answers', 'This is extrapolated from the book:  Send Lite to Every Fear: the Everyday Hero\'s Litany  and is a follow up to the existing wikiHow: "Transform Negativity with Spiritual Light."']

Question: Add and Simplify Fractions

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Once you understand the concept of fractions, you can start performing simple operations with them. You can add fractions just like you can add other types of numbers.

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Question: Add Fractions

Adding fractions is a very handy skill to know. Not only is it an important part of school — from elementary school all the way up to high school — it's also a really practical skill to know.


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Question: Add and Multiply Fractions

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A lot of times you will add fractions when putting parts of two things together. You might sometimes multiply fractions if you need to find a portion of a fraction.

How to Improve the readability of Text. For Windows


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E.g.
"['represent this input in order to find explanatory wikihow text for it', 'Make a Lemon Cake']" == "['represent this information to match it with a fitting wikihow title (or a query)', 'A lemon cake makes a delicious and light way to enjoy a simple dessert or to devour with your afternoon cup of tea. Whatever the occasion, a moist, sweet, and slightly tangy lemon cake is simple to make and makes a mouthwatering treat.']" != "['Represent this information to match it with a fitting WikiHow title (or a query)', ' How To Make A Taco Lettuce Wrap ']"

Question: Graph an Equation

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Graphing equations  is a much simpler process that most people realize. You don't have to be a math genius or straight-A student to learn the basics of graphing without using a calculator.

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This Is How To Find Fronts And Symbols On Your Computer 2000/XP/Vista/7


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Question: Find the Vertex of a Quadratic Equation

The vertex of a  quadratic equation  or parabola is the highest or lowest point of that equation. It lies on the plane of symmetry of the entire parabola as well; whatever lies on the left of the parabola is a complete mirror image of whatever is on the right.

You will learn the 3 basic Forms for the Equation of a Line: 1) the Point-Slope Form; 2) the Standard Form; and 3) the Slope-Intercept Form in the Cartesian Plane.


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Question: Graph a Parabola

A parabola is a two-dimensional, mirror-symmetrical curve that is shaped like an arch. Any point on the parabola is equidistant from a fixed point (the focus) and a fixed straight line (the directrix).

This is simple steps to DTX mod Combat Arms with Photoshop.


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Question: Find Vertical Asymptotes of a Rational Function

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A rational function is a mathematical function (equation) that contains a ratio between two polynomials.  [1]   That is, there must be some form of a fraction, involving more than just the coefficients.


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Question: Find the Slope of a Line Using Two Points

Finding the slope of a line is an essential skill in coordinate geometry, and is often used to draw a line on graph, or to determine the x- and y-intercepts of a line.


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Question: Find the Perpendicular Bisector of Two Points

A perpendicular bisector is a line that cuts a line segment connected by two points exactly in half by a 90 degree angle. To find the perpendicular bisector of two points, all you need to do is find their midpoint and negative reciprocal, and plug these answers into the equation for a line in slope-intercept form.


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Question: Find the Magnitude of a Vector

A vector is a geometrical object that has both a magnitude and direction.  [1]   The magnitude is the length of the vector, while the direction is the way it’s pointing.

Introducing a series of steps designed to show how to replace the Spirit Bubble Vials in a Swanson Magnetic Post Level.


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Question: Find the Slope of a Line

Lines are everywhere in English, whether you are taking Algebra I, Geometry, or Algebra II. If you know how to find the slope of a line, many things become clearer to you, like whether two lines are parallel or perpendicular, where they will intersect, and many other concepts.


Question:
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Examples:

Given ['represent this text to find wikihow information for it (a few sentences maybe)', 'De stress'] it matches with ['represent this text to find corresponding user-written input on wikihow which the text answers', 'Stress is a necessary, but frustrating part of life. It helps motivate us into creativity, helping us achieve at high levels, but it also wears us out.'] but not with ['Represent the text to find a WikiHow title / query for it', ' This guide is for the Kin der toten zombies map. ']

Question: Construct an Angle Congruent to a Given Angle

The earliest mathematicians did not have the benefit of plastic protractors to measure and copy angles. In true geometry constructions, you are allowed only a straight edge and a compass.

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Question: Create the Star of David Using a Pencil, Ruler and Compass

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The Star of David has interesting geometrical properties apart from being the symbol appearing on the flag of Israel. It is essentially a fractal with the exception that open vertices are closed by straight lines.

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How to Colour in a Scanned Pencil Sketch Using Gimp.


Question:
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------

For instance you may be given '['represent this text to find wikihow information for it (a few sentences maybe)', 'Understand the Structure and Function of Enzymes (Enzymology)']' and it should match with '['Represent this text to find corresponding user-written input on WikiHow which the text answers', 'This article gives an overview about the structure and function of enzymes. In particular it discusses the manner of function of enzymes in the body.']' but not with '['Represent this text to find corresponding user-written input on WikiHow which the text answers', ' Using Facebook for Keeping in Touch with Loved Ones Who Are Studying Abroad: A How-To ']'.

Question: Construct a Triangle when Its Three Sides Are Given (SSS Criterion)

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This article teaches you how to construct a triangle when the lengths of all three of its sides are known.

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Question: Find the Length of the Hypotenuse, Adjacent and Opposite Side of a Right Triangle

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This article aims at helping you to fully understand the concept of how to find the length of any side of a right triangle. It will take you through the necessary steps to be taken when finding the hypotenuse, opposite or adjacent side of a right triangle.

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For instance, <<['Represent this text', "When first starting a Tumblr, it is important to upload pictures and text to customize your blog so that you can  gain followers . Users will have a much better idea of whose Tumblr they're reading if you've posted a biography with personal details about yourself and your blog."]>>  to <<['Represent this text to find WikiHow information for it (a few sentences maybe)', 'Add a Bio on Tumblr']>>


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Question: Construct a Triangle when Two Sides and the Included Angle are Given (SAS Criterion)

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Construction is an ancient method of duplicating a geometric figure using only a straightedge and a compass. If you begin with any chosen triangle, you can construct a congruent copy of it if you match any two sides and the angle between them.


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Question: Draw a Square

A square is a quadrilateral with four right angles and four congruent sides. Easy to draw, right? Not so fast. Drawing a perfect square requires more than just a steady hand.

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Question: Construct a Perpendicular Line to a Given Line Through Point on the Line

Perpendicular lines are lines that form right angles. These types of lines are used often in geometry, so it is important to know how to construct them.


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Question: Construct a Perpendicular Line to a Given Line Through Point Outside the Line

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Using a simple point completely above a horizontal line, it is possible to construct a perpendicular line using a compass (not a protractor). This article will help you construct this perpendicular line using a compass.


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Question: Construct a Line Parallel to a Given Line Through a Given Point

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Parallel lines are lines that are equidistant at all points and would never touch if they went on forever.  [1]   Sometimes you may be presented with one line and need to create another line parallel to it through a given point.


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Question: Determine if Three Side Lengths Are a Triangle

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Determining if three side lengths can make a triangle is easier than it looks. All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side.

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Question: Determine a Square and Circle of Equal Perimeter

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A perimeter is generally thought of as the sum of all the side lengths of a shape. Like all two-dimensional shapes, a circle has a perimeter (usually called the circumference), but since a circle does not have sides its perimeter is calculated differently than that of other polygons.

You'll learn to make the Lemniscate Curve of 30 Sinewave Spheres pictured below, plus the many variations possible, via Microsoft Excel. This is also called the "Infinity Curve".


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Question: Construct a Bisector of a Given Angle

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You can bisect an angle just as you can bisect a line. To bisect means to divide something into two equal parts. There are two methods for bisecting an angle.

You'll learn to analyze a Parabola given in Standard Form of the equation, and then chart it using Microsoft Excel.


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Question: Find Extrema of Multivariable Functions

In single-variable calculus, finding the extrema of a function is quite easy. You simply set the derivative to 0 to find critical points, and use the second derivative test to judge whether those points are maxima or minima.

represent this text to find corresponding user-written input on wikihow which the text answers
For example, ['represent', 'Of all the aspects of pet safety, there’s one risk that pet owners often overlook: the dangers that household cables can present to animals. Chewing cables can send an electric shock through your pet, which can cause burns, shutdown of vital organs, and eventual death.'] should be similar to ['Represent the query to find relevant information about it on WikiHow', 'Pet Proof Household Cables']


Question:
represent this text to find wikihow information for it (a few sentences maybe)

Examples:

Given ['Represent this input in order to find explanatory WikiHow text for it.', 'Make Cream Cheese Brownie Cupcakes'] it matches with ['Represent this information to match it with a fitting WikiHow title (or a query)', 'Brownies  are a treat that everyone in the family likes. When you get bored with traditional brownies, try adding what you’d least expect—cream cheese!'] but not with ['Represent this information to match it with a fitting WikiHow title (or a query)', ' Ready for summer? Need a cold treat? Make these delicious Oreo popsicles! ']

Question: Cut a Equilateral Triangle from a Square of Paper

To cut a right-angled triangle from a square piece of paper is not difficult. To cut an Equilateral triangle is a little more of a challenge, though.

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Want to make a simple curled corner for a paper? Do it in Paint!


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Question: Construct the Tangent Line to a Circle

A line tangent to a circle touches the circle at exactly one point. The tangent line is perpendicular to the radius of the circle.


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Question: Calculate CPI

The Consumer Price Index (CPI) is a measure of changes in product costs over a specific time period, and it is used as both an indicator of the cost of living and economic growth.


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Question: Calculate Mean Deviation About Mean (for Ungrouped Data)

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In working with data, there are several different ways to measure how closely grouped your data values are. The most common is the mean. Most people learn early in school to calculate the mean by finding the sum of a group of data values and then dividing by the number of values in the set.


Question:
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Given ['Represent this text to find WikiHow information for it (a few sentences maybe)', 'Crop a Picture in Word'], a positive would be ['Represent this information to match it with a fitting WikiHow title (or a query):', 'The cropping tools in Microsoft Word allow you to trim and hide portions of pictures you don’t want used or displayed in your final result. Using Word’s enhanced cropping tools, you can simply crop pictures, crop to a specific shape, crop to a common picture aspect ratio, or crop to fit or fill a shape.'] & a negative would be ['Represent this text to find corresponding user-written input on WikiHow which the text answers', ' Floating Head In Adobe After Effects! ']

Question: Find the Area of a Quadrilateral

So you've been assigned homework that requires you to find the area of a quadrilateral ... but you don't even know what a quadrilateral is. Don't worry—help is here!

represent the text to find a wikihow title / query for it
Examples:
Provided: "['Represent the text to find a WikiHow title / query for it', 'Do you have a Sagittarius with you are work and you want to know the best ways to work with them so you can keep getting that paycheck? Here are a few tips on dealing with them.']" Match: "["represent this input in order to find explanatory wikihow text for it\n------\nExamples:\n'Import Pokémon from GameBoy Advance Device to DS Game System' == 'You may have seen people on the GTS (Global Trade Station) with Swampert, or maybe you've just heard about the ability to transfer Pokémon from GameBoy Advance games to DS games such as Diamond, Pearl, Platinum, HeartGold, and SoulSilver.' != ' This article will show you how to run on Pokémon Pearl/Diamond/Platinum. '", 'Work With a Sagittarius']"


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Question: Find the Area of a Pentagon

A pentagon is a polygon with five straight sides. Almost all problems you'll find in math class will cover regular pentagons, with five equal sides.

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Learn how to acquire the Black Mosaic Tile Image or Magic Carpet Image via Excel by following the steps below.


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Question: Find the Area of a Kite

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A kite is a type of a quadrilateral that has two pairs of equal, adjacent sides.  [1]   Kites can take the traditional look of a flying kite, but a kite can also be a rhombus or a square.

This article shows you how to play Snuggle Bug.


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Question: Find the Area and Perimeter of a Rectangle

A rectangle is a plane, a quadrilateral that has 4 right angles. The sides that are parallel to each other are identical in length.  [1]   If the rectangle has four equal sides, it is called a square.

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Question: Find Surface Area of a Triangular Prism

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A prism is a three-dimensional shape with two parallel, congruent bases.  [1]   In a triangular prism, the bases are triangles. A triangular prism also has three lateral sides.

In this article, you will learn about how to calculate the volume of a regular octahedron, a polyhedron with eight faces.


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Question: Find Perpendicular Vectors in 2 Dimensions

A vector is a mathematical tool for representing the direction and magnitude of some force. You may occasionally need to find a vector that is perpendicular, in two-dimensional space, to a given vector.

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Question: Find Average Atomic Mass

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Average atomic mass is not a direct measurement of a single atom. Instead, it is the average mass per atom for a typical sample of a given element. If you could measure the mass of billions of individual atoms, you could calculate this value the same way you would find any average.

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This is extrapolated from the book:  Send Lite to Every Fear: the Everyday Hero's Litany  and is a follow up to the existing wikiHow: "Transform Negativity with Spiritual Light."


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Question: Find the Range of a Function in Math

The range of a function is the set of numbers that the function can produce. In other words, it is the set of y-values that you get when you plug all of the possible x-values into the function.

How to Improve the readability of Text. For Windows


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Question: Find Area

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Area is a measurement of the amount of space inside a two-dimensional figure. Sometimes, finding area can be as simple as simply multiplying two numbers, but often times it can be more complicated.


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Question: Find the Midpoint of a Line Segment

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Finding the midpoint of a line segment is easy as long as you know the coordinates of the two endpoints. The most common way to do this is to use the midpoint formula, but there's another way to find the midpoint of a line segment if it's vertical or horizontal.

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Question: Find the Surface Area of a Rectangular Prism

A rectangular prism is a name for a 6-sided 3-dimensional figure that is very familiar to everybody—a box. Think of a brick, or a shoebox, and you know exactly what a rectangular prism is.


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Question: Find the Minimum and Maximum Points Using a Graphing Calculator

Big math test coming up? Need to find local minimums or maximums? Not to fret! Easily find the minimum or maximum point of any non-linear equation using a graphing calculator.

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Question: Find the Perimeter of a Shape

Perimeter is a measure of the area or distance around a two-dimensional shape. On a rectangle, for instance, the perimeter is the total length of the rectangle’s outline, including the two widthwise borders and the two lengthwise borders.


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Question: Find the Nth Term for an Arithmetic Sequence of High Order

An arithmetic sequence of high order is a sequence of numbers where the difference of terms get larger and forms an arithmetic sequence of their own.

This Is How To Find Fronts And Symbols On Your Computer 2000/XP/Vista/7


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Question: Determine Equal Cube and Sphere Surfaces

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The formula for the surface area of a cube is 6s^2 where s=side, and the formula for a sphere's surface is 4πr^2 where r=radius, By equating the two formulas, we can determine a constant factor for the relation between r and s.

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A Step-by-Step guide to install an Abnous Water Bidet


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Question: Find the Measurement of the Diagonal Inside a Rectangle

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A diagonal is a straight line that connects one corner of a rectangle to the opposite corner.  [1]   A rectangle has two diagonals, and each is the same length.

You will learn the 3 basic Forms for the Equation of a Line: 1) the Point-Slope Form; 2) the Standard Form; and 3) the Slope-Intercept Form in the Cartesian Plane.


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Question: Find the Equation of a Tangent Line

represent the text to find a wikihow title / query for it.

To give you a sense - "['Represent this information to match it with a fitting WikiHow title (or a query)', 'Ballet is a beautiful dance and sport and can be a fun way to exercise. But, if not dressed properly, the class will be difficult and not very enjoyable.']" should be close to "['represent the query to find relevant information about it on wikihow', 'Dress for a Ballet Class']"

Unlike a straight line, a curve's slope constantly changes as you move along the graph. Calculus introduces students to the idea that each point on this graph could be described with a slope, or an "instantaneous rate of change."


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Question: Find the Longest Internal Diagonal of a Cube

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This article will demonstrate that the lowest to highest and opposing corners diagonal of a cube is equal to the side times the square root of 3.

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How to Colour in a Scanned Pencil Sketch Using Gimp.


Question:
represent the query to find relevant information about it on wikihow:
------
For example, '['Represent the query to find relevant information about it on WikiHow', 'Make Barbecued Muffin Meatballs']' should have a representation like '['Represent this information to match it with a fitting WikiHow title (or a query)', "These baked meatballs doesn't just have the taste of barbecue sauce on them, but also in the middle. Conveniently baked in muffin pans, they hold the structure of a ball, even when expanding and cooking."]' but very far from '['Represent the text to find a WikiHow title / query for it', " Here's how you can cook Mushroom 'N' Onion Smothered Pork Chops. "]'.

Question: Find the Equation of a Line

In order to find the equation of a line, you need  two things : a) a point on the line; and b) the slope (sometimes called the gradient) of the line.

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You'll learn to analyze a Parabola given in Standard Form of the equation, and then chart it using Microsoft Excel.


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Question: Find the Least Common Multiple of Two Numbers

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A multiple is the result of multiplying a number by an integer. The least common multiple (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.


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Question: Find the Length of the Hypotenuse

All right triangles have one right (90-degree) angle, and the hypotenuse is the side that is opposite or the right angle, or the longest side of the right triangle.

Here is a software alternative to the traditional way to  Calculate the Beats Per Minute (BPM) of a Song . This makes use of the Propellerhead program recycle.


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Question: Square Fractions

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Squaring fractions is one of the simplest operations you can perform on fractions. It is very similar to squaring whole numbers in that you simply multiply both the numerator and the denominator by itself.


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Question: Divide Fractions by Fractions

Dividing a fraction by a fraction might seem confusing at first, but it is really very simple. All you need to do is flip, multiply and reduce! This article will guide you through the process and show you that dividing fractions by fractions is really a breeze.


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Question: Find the Equations of the Asymptotes of a Hyperbola

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Asymptotes of a hyperbola are the lines that pass through center of the hyperbola. The hyperbola gets closer and closer to the asymptotes, but can never reach them.


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Question: Teach Food Fractions for First Grade Math

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Basic math is typically taught to children while they are still toddlers. Toward the end of kindergarten, they should be ready to count by 10's, know basic mathematics relating to money, and understand estimation.


Question:
represent the query to find relevant information about it on wikihow.

E.g.
"['Represent the query to find relevant information about it on WikiHow.', 'Flash the Laptop Bios']" == "['Represent this text.', 'Have you discovered a strange problem with your VGN-SZ? It may well be that your laptop bios cannot perfectly support the second memory bank if you have installed one.']" != "['Represent this information to match it with a fitting WikiHow title (or a query)', ' Installing Puppy Linux. ']"

Question: Find the Angle Between Two Vectors

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If you are a mathematician or graphics programmer, you may need to find the angle between two given vectors. This wikiHow will show you how to do that.


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Question: Draw a Graph

A graph is a diagram (as a series of one or more points, lines, line segments, curves, or areas) that represents the variation of a variable in comparison with that of one or more other variables.

This article shows you how to play Snuggle Bug.


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Question: Construct a 60 Degrees Angle Using Compass and Ruler

Often you are required to construct some angles without using a protractor. This article teaches you how to draw a 60 degrees angle using a compass and a ruler.

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You'll learn to make the Lemniscate Curve of 30 Sinewave Spheres pictured below, plus the many variations possible, via Microsoft Excel. This is also called the "Infinity Curve".


Question: Represent the query to find relevant information about it on WikiHow.

Question: Calculate the Cross Product of Two Vectors

The cross product is a type of vector multiplication only defined in three and seven dimensions that outputs another vector. This operation, used in almost exclusively three dimensions, is useful for applications in physics and engineering.


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Question: Bisect a Line With a Compass and Straightedge

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Bisecting a line (dividing a line in half) is easy enough if you know the length of the line, or can measure the line. But if you don’t know the length of the line, you can still bisect it using a straightedge and compass.


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Question: Plot Polar Coordinates

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The familiar rectangular grid is an easy system to learn, but it is not convenient in all situations. What if you want to plot the spokes on a wheel, or the movement of water down a drain?

represent the text to find a wikihow title / query for it.

This is simple steps to DTX mod Combat Arms with Photoshop.


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Question: Add or Subtract Vectors

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Many common physical quantities are often vectors or scalars. Vectors are akin to arrows and consist of a positive magnitude (length) and importantly a direction.

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How to Improve the readability of Text. For Windows


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Question: Construct a 90 Degrees Angle Using Compass and Ruler

Often you are required to construct some angles without using a protractor. This article teaches you how to draw a 90 degrees angle using a compass and a ruler.

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Question: Construct a 30 Degrees Angle Using Compass and Straightedge

Learn to construct a 30 o  angle using compass and straightedge by different methods.


Question:
represent this input in order to find explanatory wikihow text for it
Examples:

Given ['represent the query to find relevant information about it on wikihow\nE.g.\n"Autofill on Google Chrome" == "The autofill feature makes filling up forms easier for you. If you previously entered your address or credit card information, the browser can save that information for future use so the next time you fill up similar types of forms, you need not type every information again." != " This article explains how to clear the cache in Chrome Plus. "', 'Save Battery Power on a Blackberry'] it matches with ['Represent the text to find a WikiHow title / query for it', 'Tips to maximize the time between battery charges for Blackberry cell phones (many of these tips are applicable to cell phones in general, too) are provided below.'] but not with ['Represent this text to find corresponding user-written input on WikiHow which the text answers', ' How to Use Socialcast on a Mobile Phone ']

Question: Calculate the Sum of Interior Angles

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A polygon is any closed figure with sides made from straight lines. At each vertex of a polygon, there is both an interior and exterior angle, corresponding to the angles on the inside and outside of the closed figure.


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Question: Calculate the Perimeter of a Square

The perimeter of a two-dimensional shape is the total distance around the shape, or the sum of the length of its sides.  [1]   By definition, a square is a four-sided shape with four straight sides of equal length, and four right (90°) angles.

Learn how to acquire the Black Mosaic Tile Image or Magic Carpet Image via Excel by following the steps below.


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Question: Calculate the Radius of a Circle

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The radius of a circle is the distance from the center of the circle to any point on its circumference.  [1]   The easiest way to find the radius is by dividing the diameter in half.


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Question: Calculate a Diagonal of a Square

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The diagonal of a square is the line stretching from one corner of the square to the opposite corner. To find the diagonal of a square, you can use the formula        d  =  s    2      {\displaystyle d=s{\sqrt {2}}}      , where        s    {\displaystyle s}       equals one side length of the square.

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Introducing a series of steps designed to show how to replace the Spirit Bubble Vials in a Swanson Magnetic Post Level.


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Question: Calculate Angles

In geometry, an angle is the space between two rays or line segments with the same endpoint, or vertex. The most common way to measure angles is in degrees, with a full circle measuring 360 degrees.

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A Step-by-Step guide to install an Abnous Water Bidet


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Question: Get an "A" in Geometry

Geometry is the study of shapes and angles and can be challenging for many students. Many of the concepts are totally new and this can lead to anxiety about the subject.

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Here is the way to make the most of the "4 Secrets of MySpace Music Promotion".


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Question: Draw a Circle Given Three Points

A circle is defined by any three non-collinear points.  [1]   This means that, given any three points that are not on the same line, you can draw a circle that passes through them.


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Question: Draw a Hexagon

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Loosely-defined, a hexagon is any polygon with six sides, but a regular hexagon features six equal sides and six equal angles. Look at pictures of hexagons to get a better idea of what you're drawing.


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Question: Calculate the Mass of a Sphere

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In simple terms, a sphere is a solid round ball. To calculate the mass of a sphere, you must know the size (volume) of the sphere and its density. You might calculate volume using the sphere’s radius, circumference or diameter.


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Question: Calculate the Center of Gravity of a Triangle

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The center of gravity, or centroid, is the point at which a triangle’s mass will balance. To help visualize this, imagine you have a triangular tile suspended over the tip of a pencil.


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Question: Calculate the Case Cube of a Box

"Case cube" is a measurement used in wholesale purchasing and shipping. The case cube denotes how much volume, or 3-dimensional space, a case of any given item will take up in your warehouse.

This is a corollary to my earlier article about how to make a District 4 Tribute.


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Question: Calculate the Area of a Sector

Sometimes you might need to determine the area under an arc, or the area of a sector. A sector is a part of a circle that is shaped like a piece of pizza or pie.


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Question: Calculate the Area of an Ellipse

An ellipse is a two-dimensional shape that looks like a flat circle. The area equation for an ellipse will look familiar if you've studied circles before.

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Here is a software alternative to the traditional way to  Calculate the Beats Per Minute (BPM) of a Song . This makes use of the Propellerhead program recycle.


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Question: Calculate the Area of a Trapezoid

A trapezoid (also known as a trapezium in British English) is a quadrilateral with two parallel sides of different lengths. This means that both of these sides can be called a base, and that the trapezoid is unique in having two bases.

You will learn the 3 basic Forms for the Equation of a Line: 1) the Point-Slope Form; 2) the Standard Form; and 3) the Slope-Intercept Form in the Cartesian Plane.


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Question: Calculate the Area of a Rhombus

A rhombus is a parallelogram with four congruent sides. It does not have to have right angles. There are three formulas for finding the area of a rhombus.


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Question: Calculate the Area of a Parallelogram

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A parallelogram is a quadrilateral, or four-sided shape, with two sets of parallel sides. Squares, rectangles, and rhombuses are special types of parallelograms, though most people think of a "slanted" rectangle, with two diagonal sides and two flat sides, when they think of the parallelogram.


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Question: Calculate the Area of a Circle

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A common problem in geometry class is to have you calculate the area of a circle based on provided information. You need to know the formula for finding the area of a circle,        A  =  π    r   2      {\displaystyle A=\pi r^{2}}      .

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Question: Find the Domain of a Function

The domain of a function is the set of numbers that can go in to a given function. In other words, it is the set of x-values that you can put in to any given equation.


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Question: Find the Circumference of a Circle Using Its Area

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You may need to calculate the circumference of a circle. You can do that by using its area.

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You'll learn to analyze a Parabola given in Standard Form of the equation, and then chart it using Microsoft Excel.


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Question: Find the Area of a Square Using the Length of its Diagonal

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The most common formula for the area of a square is simple: it's the length of the side squared, or s 2 . But sometimes you only know the length of the square's diagonal, running between opposite vertices.


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Question: Calculate the Area of a Rectangle

A rectangle is a quadrilateral with two sides of equal length and two sides of equal width that contains four right angles. To find the area of a rectangle, all you have to do is multiply its length with its width.


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Question: Find the Domain and Range of a Function

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Every function contains two types of variables: independent variables and dependent variables, whose values literally “depend” on the independent variables.


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Question: Find the Diagonal of a Square Using Its Area

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A diagonal is a straight line that runs between opposite corners of a square.  [1]   A diagonal divides a square into two right triangles. This property, as well as the fact that a square has four equal side lengths, makes it possible to find the length of a square’s diagonal using the area.

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Question: Find Mode, Median, Mean and Range

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How to find the mode, median, mean and range. Be sure to arrange the numbers by their numerical value. The order should range from low to high or high to low.

How to Improve the readability of Text. For Windows


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Question: Find the Area of a Rectangle Using the Diagonal

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You will learn how, in a few steps, to find the area of a rectangle by knowing that its diagonal is the hypotenuse of the rectangle's width and height.

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Question: Find the Area of a Circle Using Its Circumference

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Finding the area of a circle is a straightforward calculation if you know the length of the circle’s radius. If you don’t know the radius, however, you can still calculate the area if you are given the length of the circle’s circumference, or perimeter.


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Question: Find Mean, Median, and Mode

Mean, median, and mode are values that are commonly used in basic statistics and in everyday math. Though you can find each value pretty easily, it's also easy to mix them up.


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Question: Find Scale Factor

The scale factor, or linear scale factor, is the ratio of two corresponding side lengths of similar figures. Similar figures have the same shape but are different sizes.


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Question: Calculate the Circumference of a Circle

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Whether you're doing craft work, putting fencing around your hot tub, or just solving a math problem for school, knowing how to find the circumference of a circle will come in handy in a variety of circle-related problems.

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Question: Calculate the Area of a Polygon

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Calculating the area of a polygon can be as simple as finding the area of a regular triangle or as complicated as finding the area of an irregular eleven-sided shape.

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Question: Calculate the Area of a Hexagon

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A hexagon is a polygon that has six sides and angles. Regular hexagons have six equal sides and angles and are composed of six equilateral triangles.

This article will help you in giving a gist on "How To Create A Banner For Free"


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Question: Calculate Area of an Object

Finding the area of an object is easy as long as you understand the technique and formulas involved. If you have the right knowledge, you can find the area and surface area of any given object.

Learn how to acquire the Black Mosaic Tile Image or Magic Carpet Image via Excel by following the steps below.


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Question: Find How Many Factors Are in a Number

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Finding how many factors are in a number is as easy a 1 2 3 if you know how to do it. But for larger numbers, you can't just count one by one. This is a nice trick to find how many factors are in an integer.

Ever Wanted To Project Your Computer Skills On A TV? Well Read On To Find Out How.


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Question: Calculate Linear Feet

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One of the most important parts of planning an upcoming construction or home improvement project is to determine how much material is needed. For many projects, this means finding the linear feet of material you need. (

A Step-by-Step guide to install an Abnous Water Bidet


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Question: Calculate the Area of a Triangle

The most common way to find the area of a triangle is to take half of the base times the height. Numerous other formulas exist, however, for finding the area of a triangle, depending on what information you know.


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Question: Figure Cost Per Square Inch of Pizza

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When deciding where to order a pizza, you likely want to consider value. One way to consider the value of a pizza is to determine how much the pizza costs per square inch.

How To Prepare For The Ultimate Stealth Nighttime Prank Mission/s.


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Question: Find an Average Rate of Change

The average rate of change is a function that represents the average rate at which one thing is changing with respect to something else that is changing.

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Question: Find Arc Length

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An arc is any portion of the circumference of a circle.  [1]   Arc length is the distance from one endpoint of the arc to the other. Finding an arc length requires knowing a bit about the geometry of a circle.


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Question: Falsely Prove That Pi Equals

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Are you burdened by the evil of memorizing a sequence of random and intangible numbers simply to perform a simple operation like calculating the  area of a circle ?

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Question: Draw the Koch Snowflake

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The Koch snowflake is one of the earliest fractal curves to have been described. It has an infinitely long perimeter, thus drawing the entire Koch snowflake will take an infinite amount of time.

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You'll learn to make the Lemniscate Curve of 30 Sinewave Spheres pictured below, plus the many variations possible, via Microsoft Excel. This is also called the "Infinity Curve".


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Question: Draw a Venn Diagram

A Venn Diagram is a type of graphic organizer that uses overlapping circles to illustrate logical relationships. Typically, Venn Diagrams are employed mathematically to illustrate principles of inclusion, exclusion, and intersection between data sets; however, Venn Diagrams can also be adapted to reflect these types relationships for a host of other topics and projects.

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Question: Evaluate an Expression Using PEMDAS

When evaluating an expression, you need to give some operations precedence. If you complete the operations in no particular order, your answer will have no particular significance, and two people solving the same expression will come up with different answers.

Finding at IPv4 Network IP Address (AKA: Net ID). Read on below.


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Question: Explore a Mobius Strip

A Möbius strip is a surface that has one side and one edge. It is easy to make one with a piece of paper and some scissors. The interesting part is what happens when you start manipulating it.

A guide to bug through the wall in Red Team in Sudden Attacks Shark Tale.


Question: represent the query to find relevant information about it on wikihow E.g. given '['Represent this input in order to find explanatory WikiHow text for it', 'Make a Care Package for a Sick Friend']' it should be close to '['Represent this text to find corresponding user-written input on WikiHow which the text answers', 'Nothing is more uplifting than knowing someone was thinking of you when you are down, and assembled a few thoughtful things to help you feel better!']' but not to '['Represent this text to find corresponding user-written input on WikiHow which the text answers', ' How to Sleep Better when You Have a Long Illness ']'.

Question: Find How Many Diagonals Are in a Polygon

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Finding diagonals in a polygon is a necessary skill to develop in math. It may seem difficult at first, but is pretty simple once you learn the basic formula.

In This Tutorial You Will Be Learning How To Port Forward With a Belkin Router For Garry's Mod


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Question: Do Well on Math Contests Like the AMC

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Maybe you are looking to make a 250 USAMO index this year. Or maybe you just want to qualify for the AIME. Whatever your motivation, math contests can be an obsession when you get deeply involved in them and achieving the highest scores possible becomes a wonderful challenge.

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Question: Express a Huge Number in the Form of Scientific Notation

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Scientific notation is a way of writing numbers that are too big or too small to be conveniently written in decimal form. Scientific notation has a number of useful properties and is commonly used in calculators and by scientists, mathematicians and engineers.

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Question: Draw a Dot Plot

Dot plots are great for solving basic math problems from anything to advanced math problems. They are used to count data in the form of dots on a plots, which is where its name (Dot Plot) comes from.

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Question: Draw a Pythagorean Tree

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A Pythagorean Tree is a fractal that is created out of squares. The process of creating one is very simple, but when it's complete it looks pretty cool!

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Question: Do the Chunking Method

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The chunking method is an alternative to long division. It is also another way to do partial quotients. By breaking apart a dividend into easily calculated value chunks, you can solve complex division problems.

This article shows you how to play Snuggle Bug.


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Question: Do Percentages on a Calculator

A percentage is a special way of representing a portion of something. A percentage is a number that indicates a fraction made up of 100 parts. Thus, 100% means the whole thing (whatever is being measured), while 50% means one half.

Here is the way to make the most of the "4 Secrets of MySpace Music Promotion".


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Question: Do the Sub Steps of Neutral Operations

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There is some simple algebra involved in Neutral Operations. Learn to do the algebraic sub-steps in this article. Neutral Operations are important for several reasons: they can be symmetrical (which is a hot topic in math these days!),

This is simple steps to DTX mod Combat Arms with Photoshop.


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'['Represent this input in order to find explanatory WikiHow text for it', 'Prepare Orange Tea']' == '['represent this text to find corresponding user-written input on wikihow which the text answers', 'Tea is a great refreshment for anyone any time. Many of us feel energetic by the aroma of tea. Orange pekoe or formally, orange tea, is a great drink that can be prepared and served in a jiffy!']' != '['Represent the text to find a WikiHow title / query for it!', ' Indian Spicy Tea!How to make... ']'

Question: Use a Graphing Calculator to Solve a Systems of Equations

Solving a systems of equations can become messy after a while. This is especially true when you have three or more equations to be solved. Try using your graphing calculator instead by following these easy steps.

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You will learn the 3 basic Forms for the Equation of a Line: 1) the Point-Slope Form; 2) the Standard Form; and 3) the Slope-Intercept Form in the Cartesian Plane.


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Question: Work out the Determinant of a Matrix

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The determinant is a unique number associated with a square matrix - that is, a matrix with the same number of rows as columns. The determinant of a matrix has several uses; for one, it immediately tells you if the matrix has an inverse or not (see tips).

You'll learn to analyze a Parabola given in Standard Form of the equation, and then chart it using Microsoft Excel.


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Question: Use Cramer's Rule

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Cramer's rule is used to find the values of three variables in a given set of equations. It's a simple method which requires you to find three matrices to get the values of the variables.


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Question: Solve Matrix Equations

In linear algebra, matrix equations are very similar to normal algebraic equations, in that we manipulate the equation using operations to isolate our variable.

This Is How To Find Fronts And Symbols On Your Computer 2000/XP/Vista/7


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Question: Find the Determinant of a 3X3 Matrix

The determinant of a matrix is frequently used in calculus, linear algebra, and higher level geometry. Outside the academic world, engineers and computer graphics programmers use matrices and their determinants all the time.


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Question: Perform an LU Factorization

To solve systems of three or more linear equations, one typically converts the problem into an augmented matrix and row reduces from there. However, this is slow and woefully inefficient with more equations.


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Question: Find the Null Space of a Matrix

The null space of a matrix        A    {\displaystyle A}       is the set of vectors that satisfy the homogeneous equation        A    x    =  0.    {\displaystyle A{\mathbf {x} }=0.}


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Question: Find the Inverse of a Matrix

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Matrix algebra is a foundation element for modern computer graphics and engineering. In the same way that ordinary algebra deals with real numbers, matrix algebra provides tools and methods for manipulating vectors and simultaneous sets of equations.

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How to Improve the readability of Text. For Windows


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Question: Find the Determinant of a 2x2 Matrix

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The determinant of a square matrix is an important number associated with that matrix. From the determinant, many important properties can be found about the matrix.


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Question: Do Neutral Operations with Square Roots

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For example, '['Represent this text to find corresponding user-written input on WikiHow which the text answers', ' So, you want to live in your book? Read this. ']' should be close to '['Represent the query to find relevant information about it on WikiHow', 'Create a Book/Novel Themed Room']'

You will learn how to algebraically solve sqrt(a) + sqrt(b) = sqrt(a) * sqrt(b)=c, sqrt(a) - sqrt(b) = sqrt(a) * sqrt(b)=c, sqrt(a) + sqrt(b) = sqrt(a) / sqrt(b)=c and sqrt(a) - sqrt(b) = sqrt(a) / sqrt(b)=c (whereby two operators are held neutral to each other between constants, rendering a "tipping point") and to graph the final a and b as x and y. You will also learn goal seeking to 2π for each above equation.

This article will show you how to Get Past Barracuda Web Filter.


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Question: Solve Systems of Differential Equations

The article on  solving differential equations  goes over different types of differential equations and how to solve them. However, it only covers single equations.


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Question: Do Grade 9 Mathematical Processes

The mathematical process has many components. These components help you to organize your thoughts, solve problems effectively, and communicate your understanding.

This is extrapolated from the book:  Send Lite to Every Fear: the Everyday Hero's Litany  and is a follow up to the existing wikiHow: "Transform Negativity with Spiritual Light."


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Question: Find the Inverse of a 3x3 Matrix

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Inverse operations are commonly used in algebra to simplify what otherwise might be difficult. For example, if a problem requires you to divide by a fraction, you can more easily multiply by its reciprocal.


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Question: Find Eigenvalues and Eigenvectors

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The matrix equation        A    x    =    b      {\displaystyle A{\mathbf {x} }={\mathbf {b} }}       involves a matrix acting on a vector to produce another vector.


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Reduce a Matrix to Row Echelon Form

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The row-echelon form of a matrix is highly useful for many applications. For example, it can be used to geometrically interpret different vectors, solve systems of linear equations, and find out properties such as the determinant of the matrix.