Jim spent $46.16 on some mulch and one shovel. each bag of mulch costs $3.49 and the shovel cost $14.75. how many bags of mulch did jim buy? write and solve an equivalent equation without decimals.

What could explain what happened when the time was equal to 120 minutes

Evaluate the expression for the given value of the variable 7a - 4a for a =8

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) = .