there is a regular octagon a b c d e f g, a frog is at the vertex a. it can jump on to any of the vertices except  the exactly opposite vertex the frog visits all the vertices exactly once and then reaches vertex e then how many  times did it jump before reaching e
6
(a)The regular octahedron has 3 symmetry planes;  
(b)The regular dodecahedron has 15 symmetry planes;  
(c)The regular icosahedron has 15 symmetry planes; a, b and c flying insects use the sun or the brightest light source as a reference for navigation. the sun or moon work nicely since they are a great distance away making the light rays, for all practical purposes (like navigation), parallel to each other. the insect observes the angle of the point of light as it starts its journey and returns simply by flying the reciprocal or opposite angle for the same length of time.

the problem for the insect comes when it uses a nearby source of light such as a light bulb as it navigates. the rays from a bulb are no longer strictly parallel since light is emitted from all points of a relatively large global surface of the bulb. as the insect tries to maintain a constant light-to-eye angle it has to make constant corrections by turning in flight. this results in a spiraling flightpath bringing it closer and closer to the bulb until they are, shall we say "overcome by the heat", or they run into the window glass. 1. Exceeding the speed of light.   

2. Counting to Infinity.   

3. Solving the 15 puzzle.   

4. Squaring the circle.   

5. Doubling the cube.   

6. Bench-pressing 100000000000000000000000000 pounds.   

7. Stealing the Lincoln Memorial.   

8. Teaching a legless man to tap dance.   

9. Finding a unicorn in your backyard.   

10. Traveling back in time through sheer willpower.   

11. Eating yourself.   

12. Finding a Pikachu.   

13. Bringing a dead person back to life.   

14. Living forever.   

15.Reproducing through asexual budding.   

16. Jumping over the Empire State Building.   

17. Shooting lasers through your eyes.   

18. Being in two places at once (unless you're a subatomic particle).   

19. Licking your elbow.   

20. An elephant jumping.   

21. A dog learning French.   

22. A cat learning Spanish.   

23. A horse learning Italian.   

24. Regrowing a severed arm (for humans).   

25. A woman fathering a child.   

26. A baby without an X chromosome in the 23rd pair surviving.   

27. Curing anencephaly.   

28. Surviving with a 200 temperature.   

29. Escaping from a black hole.   

30. Skateboarding without a skateboard.   

31. The following sentence making sense: This sentence is false.   

32. Literally achieving the impossible.   

33. A man with no testicles fathering a baby.   

34. A woman with no uterus giving birth to a baby.   

35. Truly destroying matter or energy.   

36. A person having three biological parents.   

37. The existence of a plane with zero thickness.   

38. A postmenopausal woman conceiving.   

39. Uncracking an egg.   

40. Unburning a piece of firewood.   

41. Knowing everything.   

42. Traveling at a negative speed.   

43. Having a negative mass.   

44. Knowing all of the digits of pi.   

45. Knowing the last digit of e.   

46. Being able to do anything.   

47. Undetonating a bomb.   

48. Finding two integers whose quotient is pi.   

49. Creating a polynomial in one variable x for which the natural numbered values of x will exactly yield the prime numbers.   

50. Creating a triangle in Euclidean space for which the sum of the measures of the three angles is not 180.   

51. Drinking all the water in the ocean.   

52. Surviving with no blood at all in your body.   

53. Creating a perfect pangram that is also palindromic.   

54. Finding an even prime number other than 2.   

55. Getting the gold cat medal on the first stage of the second world of Blinx with the default sweeper.   

56. Creating a right triangle in Euclidean space which does not satisfy the Pythagorean Theorem.   

57. Defying gravity outright.   

58. Finding a sequence of 12 prime numbers that are all exactly 1 apart.   

59. Two objects occupying the same space at the same time.   

60. Going back in time and killing your mother before your own birth.   

61. Seeing ultraviolet light with the naked eye.   

62. Holding your breath for 46 years.   

63. Magic.   

64. Running 46000 miles per hour.   

65. Turning into a jar of apple sauce.   

66. Curing HIV.   

67. Curing Alzheimer's.   

68. Curing genital herpes.   

69. A tiny one-inch tall man living in your nostrils.   

70. Having a head one thousand times larger than your body.   

71. Finding the largest number.   

72. Getting out of checkmate.   

73. Winning Monopoly when all of your properties are mortgaged and you have no money left.   

74. Having a conversation with a blurry photograph of the Loch Ness monster.   

75. Knowing for sure what happened to Amelia Earhart.   

76. A skeleton break-dancing.   

77. Gouging out your own eyes and still being able to see.   

78. Surviving being on the surface of the sun for 12 hours.   

79. Surviving for 19 years without water.   

80. Finding the letter e in the book "Gatsby".   

81. Biting your own neck.   

82. Eating with your mouth glued shut.   

83. Digging to the center of the earth with your bare hands.   

84. Swimming all the way across the Atlantic Ocean without ever stopping.   

85. Being recoginzed as a country by the United Nations without having a government.   

86. A quadraplegic winning a marathon.   

87. Spontaneous combustion.   

88. Measuring a volume smaller than the Planck length.   

89. Making a sound in space.   

90. Finding out for sure who Jack the Ripper was.   

91. Life on Earth existing without the sun.   

92. Flying by flapping your arms.   

93. Spelling the word "extraneous" correctly without using the letter x.   

94. Ghosts.   

95. Vampires.   

96. Werewolves.   

97. Phrenology being right.   

98. Calculating the first 1 quadrillion digits of pi by hand.   

99. Knowing the largest prime number.   

100. A duck fathering a snake.   

101. A snake fathering a duck.   

102. Dragons existing.   

103. Looks killing.   

104. Bringing your imaginary friends into existence.   

105. A 25-letter pangram.   

106. Two men having vaginal intercourse.   

107. A transwoman having a baby.   

108. Gay marriage in the state of Georgia.   

109. A man being 300 feet tall.   

110. A crocodile milking its young.   

111. Organisms deliberately evolving.   

112. Surviving a 440-decibel blast of sound.   

113. Polygamy in the state of Georgia.   

114. Surviving AIDS without treatment or medical attention.   

115. A 27-letter perfect pangram.   

116. Zeus answer: 15
solution: there are six straight lines `l\_(1),l\_(2),l\_(3),l\_(4),l\_(5),l\_(6)` in a plane.   
 since no two lines are parallel and no three of which pass through the same point, we have maximum points of intersection.   
 line `l\_(1)` intersect five lines, so there will be five points of intersection.   
 similarly, for each of the lines `l\_(2),l\_(3),l\_(4),l\_(5),l\_(6)`, there will be five points of intersection.   
 but there will be double counting .   
 so, total number of points of intersection is `(5xx6)/(2)=15` try battling a dragon on that space. or tapping it again. or battling a dragon on it. or combat an enemy dragon on it. (get my drift?) the graph of this equation is a line.  we know that because each term is either a constant (1.5) or the product of a constant and the first power of a variable (d, 0.8t).
since we have two variables (d and t), the line sits in a two-dimensional plane, with a vertical axis and a horizontal axis.  d stands alone in the equation, so its value depends on the value oft.  therefore, the vertical--or dependent--axis will represent values of d, and the horizontal--or independent--axis will represent values of t.
at this point, then, we can set up a coordinate plane with a vertical axis labeled d and a horizontal axis labeled t.  all of the points on our plane have a coordinate (t, d).
to graph a line, we need two points.  since the question asks for the axial intercepts anyway, we can use those.
we'll start with the d-intercept, where the line crosses the d-axis.  all of the points on the d-axis have a t-coordinate of zero, so to find where the line crosses the axis, we substitute zero for t in our equation and solve.
d = 1.5 + 0.8 × t
d = 1.5 + 0.8 × (0)
d = 1.5 + 0
d = 1.5
so our d-intercept has the coordinates (0, 1.5), and we have our first point and our first intercept.
similarly, to find the t-intercept, we note that all of the points on the t-axis have a d-coordinate of zero, so we set d equal to zero and solve.
d = 1.5 + 0.8 × t
0 = 1.5 + 0.8 × t
0 - 1.5 = 1.5 - 1.5 + 0.8 × t
-1.5 = 0.8 × t
-1.5 ÷ 0.8 = (0.8 ÷ 0.8) × t
-1.875 = 1 × t
-1.875 = t
and the d-intercept is (-1.875, 0).
now we have both axial intercepts, so that part of the question is complete.  we can plot those two points and draw the line that passing through them (extending on, at either side, to infinity).
all that remains is to find the turning points.  a turning point, also called a local maximum or local minimum, is where the value of a function goes from decreasing to increasing or from increasing to decreasing.  (the graph shown at http://en.wikipedia.org/wiki/file:parabola\_with\_focus\_and\_directrix.svg has a minimum at the origin, for example.)
a line has a constant slope.  to say that differently, the angle between any two points on a line is the same as the angle between any two other points on the line.  if a line is increasing in one location (like our line), it is increasing everywhere, and it is increasing everywhere at the same rate.  therefore, a line has no turning points. vertical and horizontal &nbsp;an electron enters uniform electric field maintained by parallel plates and of value 'e' &nbsp; v m-1 with a velocity ' v ' ms-1.&nbsp;the plates are separated by a distance 'd' metre. what is the acceleration of the electron in the field?&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; because each time fill() is invoked it is only applying 0.047% opacity over what was previously drawn. draw() runs aprox 60 times per second …