Your team gets an ice sculpture in the shape of a basketball. it has a radius of 12 inches. what is the volume of the ice? use 3.14 for pi. round your answer to the nearest hundredth.

Julia chooses a card at random from her set of cards. what is the probability that the card is labeled cat or hamster?

5,600 x 10^3 = a) 560 b) 5,000,600 c) 5,600,000 d) 56,000

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .