If the sin of 30° equals 1/2 then the cos 60° equals

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

Acertain company's main source of income is a mobile app. the company's annual profit (in millions of dollars) as a function of the app's price (in dollars) is modeled by p(x)=-2(x-3)(x-11)p(x)=−2(x−3)(x−11) which app prices will result in \$0$0 annual profit? enter the lower price first.

So can you show me how to do the work and what 5 miles equals how many yards