A toy in a toy shop is in the shape of a triangular pyramid. The area of the base of the toy is 14 square centimeters and it has a height of 12 centimeters. What is the volume of the toy in cubic centimeters? 56 cm3 84 cm3 168 cm3 504 cm3

Gabrielle's age is two times mikhail's age. the sum of their ages is 84. what is mikhail's age?

Solve the equation. 2x - 8(x+1)= 6(2x - 3)

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