a cathedral has a large, circular stained window. it has a diameter of 6 meters. what is the windows circumference? use 3.14 for pi

You purchase a new car for $17,000 and are able to acquire a loan because of your excellent credit score. how much is the total interest and insurance per month if you use the whome insurance company from question 3 for your insurance coverage and don't qualify for the safe driver discount? credit apr (%) excellent 5.90 good 6.35 average 6.85 fair 7.40 poor 8.15 (1 point) $95.39 $150.52 $142.64 $162.33

Given f(x)= 9x+1 and g(x)=x^3, choose the expression (f*g)(x)

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