If we let m and n be any integers, explain how we know that 2m and 2n will always be even integers. Show they are always even integers using algebraic equation or expression?

Sketch one cycle if the cosine function y=2cos2theta

Marquise has 200 meters of fencing to build a rectangular garden. the garden's area (in square meters) as a function of the garden's width w w (in meters) is modeled by: a ( w ) = − w 2 + 1 0 0 w a(w)=−w 2 +100w what side width will produce the maximum garden area? meters

Abox holds 500 paperclips. after a week on the teacher's desk 239 paperclips remained. how many paperclips were used?