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The drug Valium is eliminated from the bloodstream exponentially with a​ half-life of 36 hours. Suppose that a patient receives an initial dose of 40 milligrams of Valium at midnight.

a. How much Valium is in the​ patient's blood at noon on the first​ day?

b. Estimate when the Valium concentration will reach 50​% of its initial level.

a. How much Valium is in the​ patient's blood at noon on the first​ day?

There is approximately ______mg of Valium in the​ patient's blood at noon on the first day.

​(Round to the nearest tenth as​ needed.)

Guest Dec 6, 2017
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A = 40 x 2^-(12/36)

A =40 x 0.7937

A =31.748 Mg - remaining in the patient's blood at noon on the first day.

 

20 = 40 x 2^-(t/36), solve for t

t=36 hours(obviously) - because that is the half-life of Valium, which would be the noon hour of the second day.

Guest Dec 7, 2017

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