Astandard coffee mug has a capacity of 16 fluid ounces. if annie needs to fill 26 mugs with coffee, how many total quarts of coffee does she need?

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) = .

The legs of a right triangle measure 6 meters and 8 meters. what is the length of the hypotonuse.

Determine the standard form of the equation of the line that passes through (-2,0) and (8,-5)