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d. Use the system of equations from parts (a) and (b) to approximate the initial concentration A, (in ug/dL) at the time of injection. Round to 2 decimal places. e. Determine the concentration of the drug after 12 hr. Round to 2 decimal places. 60. A patient undergoing a heart scan is given a sample of fluorine-18 ("F). After 4 hr, the radioactivity level in the patient is 44.1 MBq (megabecquerel). After 5 hr, the radioactivity level drops to 30.2 MBq. The radioactivity level Q() can be approximated by Q(t) a. Determine the value of k. Round to 4 decimal places. Qoe , where t is the time in hours after the initial dose Q, is administered. b. Determine the initial dose, Qo. Round to the nearest whole unit. c. Determine the radioactivity level after 12 hr. Round to 1 decimal place.

d. Use the system of equations from parts (a) and (b) to approximate the initial concentration A, (in ug/dL) at the time of injection. Round to 2 decimal places. e. Determine the concentration of the drug after 12 hr. Round to 2 decimal places. 60. A patient undergoing a heart scan is given a sample of fluorine-18 ("F). After 4 hr, the radioactivity level in the patient is 44.1 MBq (megabecquerel). After 5 hr, the radioactivity level drops to 30.2 MBq. The radioactivity level Q() can be approximated by Q(t) a. Determine the value of k. Round to 4 decimal places. Qoe , where t is the time in hours after the initial dose Q, is administered. b. Determine the initial dose, Qo. Round to the nearest whole unit. c. Determine the radioactivity level after 12 hr. Round to 1 decimal place.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Write About It 57. What is the difference between a system of linear equations and a system of nonlinear equations? 58. Describe a situation in which the addition method is an efficient technique to solve a system of nonlinear equations. Expanding Your Skills 59. The attending physician in an emergency room treats an unconscious patient suspected of a drug overdose. The physician does not know the initial concentration An of the drug in the bloodstream at the time of injection. However, the physiclan knows that after 3 hr, the drug concentration in the blood is 0.69 ug/dL and after 4 hr, the concentration is 0.655 µg/dL. The model A(t) = Age value of k is a constant related to the rate at which the drug is removed by the body. a. Substitute 0.69 for A(t) and 3 for t in the model and write the resulting equation. b. Substitute 0.655 for A(t) and 4 for t in the model and write the resulting equation. c. Use the system of equations from parts (a) and (b) to solve for k. Round to 3 decimal places. d. Use the system of equations from parts (a) and (b) to approximate the initial concentration Ao (in ug/dL) at the tne o injection. Round to 2 decimal places. e. Determine the concentration of the drug after 12 hr. Round to 2 decimal places. represents the drug concentration A(t) (in ug/dL) in the bloodstream t hours after injection. The 60. A patient undergoing a heart scan is given a sample of fluorine-18 (1®F). After 4 hr, the radioactivity level in the patie is 44.1 MBq (megabecquerel). After 5 hr, the radioactivity level drops to 30.2 MBq. The radioactivity level Q) can de approximated by Q(t) = Qoe , where t is the time in hours after the initial dose Qo is administered. a. Determine the value of k. Round to 4 decimal places. b. Determine the initial dose, Qo. Round to the nearest whole unit. c. Determine the radioactivity level after 12 hr. Round to 1 decimal place. Aん; ミ * 6ミch
Transcribed Image Text:Write About It 57. What is the difference between a system of linear equations and a system of nonlinear equations? 58. Describe a situation in which the addition method is an efficient technique to solve a system of nonlinear equations. Expanding Your Skills 59. The attending physician in an emergency room treats an unconscious patient suspected of a drug overdose. The physician does not know the initial concentration An of the drug in the bloodstream at the time of injection. However, the physiclan knows that after 3 hr, the drug concentration in the blood is 0.69 ug/dL and after 4 hr, the concentration is 0.655 µg/dL. The model A(t) = Age value of k is a constant related to the rate at which the drug is removed by the body. a. Substitute 0.69 for A(t) and 3 for t in the model and write the resulting equation. b. Substitute 0.655 for A(t) and 4 for t in the model and write the resulting equation. c. Use the system of equations from parts (a) and (b) to solve for k. Round to 3 decimal places. d. Use the system of equations from parts (a) and (b) to approximate the initial concentration Ao (in ug/dL) at the tne o injection. Round to 2 decimal places. e. Determine the concentration of the drug after 12 hr. Round to 2 decimal places. represents the drug concentration A(t) (in ug/dL) in the bloodstream t hours after injection. The 60. A patient undergoing a heart scan is given a sample of fluorine-18 (1®F). After 4 hr, the radioactivity level in the patie is 44.1 MBq (megabecquerel). After 5 hr, the radioactivity level drops to 30.2 MBq. The radioactivity level Q) can de approximated by Q(t) = Qoe , where t is the time in hours after the initial dose Qo is administered. a. Determine the value of k. Round to 4 decimal places. b. Determine the initial dose, Qo. Round to the nearest whole unit. c. Determine the radioactivity level after 12 hr. Round to 1 decimal place. Aん; ミ * 6ミch
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