Reggie has enough flour to last for 40 days. if he increases his use of flour by 25%, however, how many days' worth of flour will he have?
a: 30 days
b: 28 days
c: 32 days
d: 48 days

Abuyer pays a deposit to the seller in advance before completing the transaction. which term best defines this? a. down payment b. earnest money c. mortgage application fee

You are cycling around europe with friends. you book into a hostel and you ask the owner what the ratio of men to women is currently staying there. there are 24 men and 6 women. what is the ratio of men to women in its simplest form?

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) = .