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 70 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 45​% 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.)   b. Estimate when the Valium concentration will reach 45​% of its initial level.   After approximately ? hours the Valium concentration will reach 45​% of its initial level.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.88TI: Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours...
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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 70
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 45​% 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.)
 
b. Estimate when the Valium concentration will reach 45​% of its initial level.
 
After approximately ? hours the Valium concentration will reach 45​%
of its initial level.
​(Round to the nearest​ hour.)
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