Brandon has 32 pieces of paper. Sophia has 2 times as many pieces of paper as Brandon. How many pieces of paper does Sophia have?

Which of the following is a geometric sequence? a. 5, 12, 17, 29, 46 b. 3, 7, 11, 15, 19 c. 4, 6, 10, 16, 26 d. 4, 16, 64, 256

After t seconds, a ball tossed in the air from the ground level reaches a height of h feet given by the equation h = 144t-16t^2. after how many seconds will the ball hit the ground before rebounding?

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) = .