[This battery](http://www.hobbylinc.com/htm/hca/hcahcap0800.htm?source=froogle&gclid=CN35n7G3jrsCFbB9OgodnG8AKA) is rated at 12V, and it says it provides 7Ah of power.

Does that mean that it can provide 12V at the terminals for 1 hour if 7 amps are being drawn from it?

Also, what does it mean when someone say some appliance is X watts. Like a 60 watt bulb or a 200 watt ice crusher? Doesn't the amount of watts depend on the voltage applied and the appliance's internal resistance?