A die is rolled twice. What is the probability of rolling a 3 followed by a 2?

**Give your answer as a rational number, reduced to
simplest terms.**

Rectangle leg this 11feet and perimeter of 38feet what is the width of the rectangle in feet

For what values of x is x2 + 2x = 24 true?

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) = .