Wind farms are a source of renewable energy found around the world. the power p (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed in v (in meters per second). if a turbine generates 500kw in a 10m/s wind, how much power does it generate in 12m/s wind?

The architect's side view drawing of a saltbox-style house shows a post that supports the roof ridge. the support post is 8 ft tall. the distance from the front of the house to the support post is less than the distance from the post to the back of the house. how far from the front of the house is the support post positioned?