Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet that spot is above the ground at the time, t, seconds after she jumps for the bone can be represented by the function h(t)=-16t^2 +20t. What is spots average rate of ascent. In feet per second, from the time she jumps into the air to the time she catches the bone at t=0.5 seconds?

Leslie started last week with $1200 in her checking account. during the week, she wrote the checks below.

In an isosceles triangle, the vertex angle is 112 degrees. what is the measure of each base. a.34 b.24 c.44 d.54

If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0