Tickets for a rock concert are selling fast! Tim and his 2 friends decide to buy tickets, his dad loans him $20 as well for an early birthday present. How much did each ticket cost if Tim paid $145 for himself and his friends?

According to the 2008 u. s. census, california had a population of approximately 4 × 10^7 people and florida had a population of approximately 2 × 10^7 people. which of the following is true? a. the population of florida was approximately two times the population of california. b. the population of florida was approximately twenty times the population of california. c. the population of california was approximately twenty times the population of florida. d. the population of california was approximately two times the population of florida.

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

Vikram is studying the square pyramid below. on st to find the surface area of the pyramid, in square inches, vikram wrote (33.2) (34 ikram wrote (33.2)(34.2)+43(34.2)(284) what error did vikram make? o he used the same expression for the area of all four lateral faces. he used the wrong expression to represent the area of the base of the pyramid. o he used the wrong value as the height when he found the area of the lateral faces. he used an expression for surface area that only finds the total area of three faces.