Aspinner with six sections labeled a through f is spun. what is the probability of spinning the letter labled d? enter your answer as a fraction, in simplest form, in the box.

Find the value of the cosine for angle a

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

Which answer is the solution set to the given inequality |x+7|< 17? a. x e (-24,10) b. x e (-∞, -24) u (10, ∞) c. x e [-24, 10] d. x e (-∞, -24) ∩ (10,∞)