Joe is downloading songs from the internet. he can download them at a rate of 8 songs every 10 minutes. jasmine, who is also downloading songs, can download at a rate of 12 songs every 15 minutes. who is downloading songs faster? what is the unit rate (songs per minute) for each person? show work

That table shows measurements (in invhes$ from cubes with different side lengths. which pairs of variables have a linear relationship? check all that apply

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) = .

Which number completes the inequality? 2/3 < _ < 7/9