Kendall is using the formula shown to find the surface area of the prism: Ph + 2B Assuming the base is the shaded surface, determine the correct values for the variables P, h and B in her formula. PL HEL M.

Solve the equation x/4 - 5= -8 -27 -12 -7 12

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) = .

Jane has 5 nickels. john has 3 dimes. jane says she has a greater amount of money. with the information given, is she correct?