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The quantity Q(1) of a drug in the bloodstream, in mg, at hour t, decays exponentially, as given in the graph and the table below. Assume the pattern in the table holds. Complete parts (a) through (d) below. (a) Fill in the table. Hint: Some of the values are listed on the vertical axis. (Type an integer or decimal rounded to one decimal place as needed.) Amount Q, Time, t, (hours) 102.4 (mg) Number 3 Number Number Number

The quantity Q(1) of a drug in the bloodstream, in mg, at hour t, decays exponentially, as given in the graph and the table below. Assume the pattern in the table holds. Complete parts (a) through (d) below. (a) Fill in the table. Hint: Some of the values are listed on the vertical axis. (Type an integer or decimal rounded to one decimal place as needed.) Amount Q, Time, t, (hours) 102.4 (mg) Number 3 Number Number Number

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CR: Chapter Review
Problem 12CC
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The quantity Q(f) of a drug in the bloodstream, in mg, at hour t, decays exponentially, as given in the graph and the table below. Assume the pattern in the table holds. Complete parts (a) through (d) below. (a) Fill in the table. Hint: Some of the values are listed on the vertical axis. (Type an integer or decimal rounded to one decimal place as needed.) Amount Q, 102.4 Time, t, (hours) (mg) Number 3 Number 6 Number 9 Number 12 Number 51.2- 15 Number 18 Number 25.6- 3 6 9. 12 15 18 21 24 (b) Report the half-life. Use the pull-down menu to report the units. The half-life is Number Click for List (c) Write a formula which gives Q as a function of t. The parameters in the formula should not contain rounded values. Include 0.5 in your formula. Q = AE (Your answer involves 0.5, real numbers, and a lower case t.) TIP: If desired, click on the Plot icon ) next to the answer box to graph your response. (Although your answer may match the graph, it will be counted incorrect if it is not in the form requested.) (d) Estimate the length of time until the amount of the drug in the patient's bloodstream is 0.4 mg. After Number hours, the amount of drug in the bloodstream is 0.4 mg. (Type an integer or decimal rounded to one decimal place as needed.)
Transcribed Image Text:The quantity Q(f) of a drug in the bloodstream, in mg, at hour t, decays exponentially, as given in the graph and the table below. Assume the pattern in the table holds. Complete parts (a) through (d) below. (a) Fill in the table. Hint: Some of the values are listed on the vertical axis. (Type an integer or decimal rounded to one decimal place as needed.) Amount Q, 102.4 Time, t, (hours) (mg) Number 3 Number 6 Number 9 Number 12 Number 51.2- 15 Number 18 Number 25.6- 3 6 9. 12 15 18 21 24 (b) Report the half-life. Use the pull-down menu to report the units. The half-life is Number Click for List (c) Write a formula which gives Q as a function of t. The parameters in the formula should not contain rounded values. Include 0.5 in your formula. Q = AE (Your answer involves 0.5, real numbers, and a lower case t.) TIP: If desired, click on the Plot icon ) next to the answer box to graph your response. (Although your answer may match the graph, it will be counted incorrect if it is not in the form requested.) (d) Estimate the length of time until the amount of the drug in the patient's bloodstream is 0.4 mg. After Number hours, the amount of drug in the bloodstream is 0.4 mg. (Type an integer or decimal rounded to one decimal place as needed.)
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