A certain drug is eliminated from the bloodstream with a half-life of 36 hours. Suppose that a patient receives an initial dose of 90 mg of the drug at mi a. How much of the drug is in the patient's blood at noon later that day? b. When will the drug concentration reach 50% of its initial level? a. The reference point is midnight. If t is measured in hours, what is the exponential decay function? y(t) = 90 e - 0.019254! (Type an expression. Do not round until the final answer. Then round coefficients to six decimal places as needed.) How much of the drug is in the patient's blood at noon later that day? There are approximately 71.43 mg of of the drug in the patient's blood at noon later that day. (Do not round until the final answer. Then round to two decimal places as needed.) b. When will the drug concentration reach 50% of its initial level?
A certain drug is eliminated from the bloodstream with a half-life of 36 hours. Suppose that a patient receives an initial dose of 90 mg of the drug at mi a. How much of the drug is in the patient's blood at noon later that day? b. When will the drug concentration reach 50% of its initial level? a. The reference point is midnight. If t is measured in hours, what is the exponential decay function? y(t) = 90 e - 0.019254! (Type an expression. Do not round until the final answer. Then round coefficients to six decimal places as needed.) How much of the drug is in the patient's blood at noon later that day? There are approximately 71.43 mg of of the drug in the patient's blood at noon later that day. (Do not round until the final answer. Then round to two decimal places as needed.) b. When will the drug concentration reach 50% of its initial level?
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...
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Transcribed Image Text:A certain drug is eliminated from the bloodstream with a half-life of 36 hours. Suppose that a patient receives an initial dose of 90 mg of the drug at mi
a. How much of the drug is in the patient's blood at noon later that day?
b. When will the drug concentration reach 50% of its initial level?
a. The reference point is midnight.
If t is measured in hours, what is the exponential decay function?
y(t) = 90 e - 0.019254!
(Type an expression. Do not round until the final answer. Then round coefficients to six decimal places as needed.)
How much of the drug is in the patient's blood at noon later that day?
There are approximately 71.43 mg of of the drug in the patient's blood at noon later that day.
(Do not round until the final answer. Then round to two decimal places as needed.)
b. When will the drug concentration reach 50% of its initial level?
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