The Soup Company wants to package its soup in a new can which is in the shape of a cylinder. The new label will completely cover the sides of the can but not the top and bottom of the can. The company has four choices for the cans. Which can will need the least amount of paper to make the new label?

Soup Can Choices
Can
Radius
Height
A
2 inches
6 inches
B
2.5 inches
5 inches
C
3 inches
4 inches
D
3.2 inches
3 inches

Recall the formula L A = 2 pi r h.
Can A
Can B
Can C
Can D

Given: ab ≅ bc and ao ≅ oc ok − angle bisector of ∠boc find: m∠aok

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

One angle of a linear pair is 10 more than two-thirds the other angle. find the measure of both angles.