Use the following information. the antibiotic clarithromycin is eliminated from the body according to the formula a(t) = 500e−0.1386t, where a is the amount remaining in the body (in milligrams) t hours after the drug reaches peak concentration. how much time will pass before the amount of drug in the body is reduced to 100 milligrams? (round your answer to two decimal places.)

The antibiotic clarithromycin is eliminated from the body according to the formula

where A is the amount remaining in the body (in milligrams) t hours after the drug reaches peak concentration

We need to find the time 't' when amount of drug is reduced to 100

Plug in 100 for A(t)  and solve for t

Divide both sides by 500

Take ln on both sides

divide both sides by -0.1386

t = 11.6121

11.61 hours will pass before the amount of drug in the body is reduced to 100.

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet