a puck of mass m moving at speed v on a horizontal, frictionless surface is stopped in a distance d because a hockey stick exerts an opposing force of magnitude f on it.

Robbie owns 15 percent more movies than rebecca and rebecca owns ten percent more than joshua rebecca has 220 movies how much do robbie and joshua each have

Vera is on her school's track and field team. in a practice long-jump competition against her teammates, she gets 5 points for landing over the farther line. she gets a total of 7 jumps and lands x times over the farther line and the rest of the times over the closer line. which of the following functions represents vera's total score? a. f(x)=10x b. f(x)=5x+35 c. f(x)=10x+5 d. f(x)=70-5x

Need will give 100 ! in no less than one hundred fifty words, explain why it is important for engineers to sketch designs and use them to clarify their designs to other people, giving at least three reasons.