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Aa 60. A patient undergoing a heart scan is given a sample of fluorine-18 (1F). 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 (t) can be approximated by Q (1) = Qoe where t is the time in hours after the initial dose Oo is administered. a. Determine the value of k. Round to 4 decimal places. b. Determine the initial dose, Oo. Round to the nearest whole unit. c. Determine the radioactivity level after 12 hr. Round to 1 decimal place. 61. The population P (t) of a culture of bacteria grows exponentially for the first 72 hr Page 809 according to the model P (t) = Poek. The variable t is the time culture is started. The population of bacteria is 60,000 after 7 hr. The population grows to hours since the 80,000 after 12 hr. a. Determine the constant k to 3 decimal places. Answer b. Determine the original population Po. Round to the nearest thousand. Answer c. Determine the time required for the population to reach 300,000. Round to the nearest 2021 McGraw Hill LLC

Aa 60. A patient undergoing a heart scan is given a sample of fluorine-18 (1F). 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 (t) can be approximated by Q (1) = Qoe where t is the time in hours after the initial dose Oo is administered. a. Determine the value of k. Round to 4 decimal places. b. Determine the initial dose, Oo. Round to the nearest whole unit. c. Determine the radioactivity level after 12 hr. Round to 1 decimal place. 61. The population P (t) of a culture of bacteria grows exponentially for the first 72 hr Page 809 according to the model P (t) = Poek. The variable t is the time culture is started. The population of bacteria is 60,000 after 7 hr. The population grows to hours since the 80,000 after 12 hr. a. Determine the constant k to 3 decimal places. Answer b. Determine the original population Po. Round to the nearest thousand. Answer c. Determine the time required for the population to reach 300,000. Round to the nearest 2021 McGraw Hill LLC

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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#60, need help with response C please
Aa 60. A patient undergoing a heart scan is given a sample of fluorine-18 (1F). 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 (t) can be approximated by Q (1) = Qoe where t is the time in hours after the initial dose Oo is administered. a. Determine the value of k. Round to 4 decimal places. b. Determine the initial dose, Oo. Round to the nearest whole unit. c. Determine the radioactivity level after 12 hr. Round to 1 decimal place. 61. The population P (t) of a culture of bacteria grows exponentially for the first 72 hr Page 809 according to the model P (t) = Poek. The variable t is the time culture is started. The population of bacteria is 60,000 after 7 hr. The population grows to hours since the 80,000 after 12 hr. a. Determine the constant k to 3 decimal places. Answer b. Determine the original population Po. Round to the nearest thousand. Answer c. Determine the time required for the population to reach 300,000. Round to the nearest 2021 McGraw Hill LLC
Transcribed Image Text:Aa 60. A patient undergoing a heart scan is given a sample of fluorine-18 (1F). 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 (t) can be approximated by Q (1) = Qoe where t is the time in hours after the initial dose Oo is administered. a. Determine the value of k. Round to 4 decimal places. b. Determine the initial dose, Oo. Round to the nearest whole unit. c. Determine the radioactivity level after 12 hr. Round to 1 decimal place. 61. The population P (t) of a culture of bacteria grows exponentially for the first 72 hr Page 809 according to the model P (t) = Poek. The variable t is the time culture is started. The population of bacteria is 60,000 after 7 hr. The population grows to hours since the 80,000 after 12 hr. a. Determine the constant k to 3 decimal places. Answer b. Determine the original population Po. Round to the nearest thousand. Answer c. Determine the time required for the population to reach 300,000. Round to the nearest 2021 McGraw Hill LLC
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