8. The profit P (in dollars) generated by selling x units of a cer- tain commodity is given by the function P(x) = -1500 + 12x 0.004.r- What is the maximum profit, and how many units must be sold to generate it? Show your work.

Apyramid fits exactly inside a cube. the cube and the pyramid share the same square base, and they are both exactly the same height. the volume of the cube is 66 cubic inches. what is the volume of the pyramid? explain your answer. answer asap

A0.40 kg soccer ball is kicked so that its incoming velocity of 5 m/s is changed to an outgoing velocity of -25 m/s. what impulse does the player apply to the ball?

In the figure below, m∠r is 60°, and m∠t is 120°. what is m∠q? a. 60° b. 30° c. 120° d. 54