A cylindrical grain also, with a flat top, is 30 ft tall and has a radius of 12 ft. It is full to the top with shelled corn. If the density of shelled corn averages 45 pound./cubic foot, what does the corn in the silo weight to the nearest pound?

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

Aplane is flying at 32,500 feet. it needs to rise to 36,000 feet in two stages.• in stage 1, it rises 5% of its initial altitude of 32,500 feet.• in stage 2, it rises at a rate of 125 feet per minute.how many minutes does it take for the plane to rise during stage 2?

Walter is to make cookies for a basketball tournament. he's made 15 cookies so far. his coach asked him to make at least 20 cookies but no more than 55. solve the inequality and interpret the solution. 20 ? x + 15 ? 55