A. Complete the table to find the unit rates. 20
Description
Rate
Unit rate (in ft/sec)
44 ft
A cheetah can run 44 feet in second.
2
sec
Sc
020
A sailfish can swim 294 feet in 3 seconds.
SCE
020-
A horsefly can fly 33 feet
my

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) = .

Find the unit rate for: 75% high-fiber chimp food to 25% high -protein chimp food.

Alex took his brother to a birthday party. the party was scheduled to last for 1 and 3/4 hours but they stayed for 4/5 of an hour more. how long did she stay at the party?