A movie theater make a profit Of $15 on adult ticket and $7.50 for children ticket. Write an inequality in slope intercept from that expresses when the profit is less than $15000

A. 90 degrees b. 45 degrees c. 30 degrees d. 120 degrees

The volume of a cube-shaped shipping container is 13,824 cubic inches. find the edge length of the shipping container.

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) = .