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.

4

step-by-step explanation:

im pretty sure it's 4 beacsue 8/2 equals 4

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.