12. A 30-mg sample of radioactive isotope decays to 27 mg in 12.5 h. (a) Calculate its half-life, to two decimal places. (b) How long will it take (to the nearest hour) until only 5 mg of the sample remain?
12. A 30-mg sample of radioactive isotope decays to 27 mg in 12.5 h. (a) Calculate its half-life, to two decimal places. (b) How long will it take (to the nearest hour) until only 5 mg of the sample remain?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.3: Applications: Growth And Decay
Problem 20E: Half-Life The half-life of plutonium-241 is approximately 13 years. How much of a sample weighing 4...
Related questions
Question
solve 12 a and b
![Chapter 6/7 Review
10. Solve exactly.
42x-5= 7*
11. Solve. Round answers to two decimal places.
5P+4 = 24-5p
12. A 30-mg sample of radioactive isotope decays to 27 mg in 12.5 h.
(a) Calculate its half-life, to two decimal places.
(b) How long will it take (to the nearest hour) until only 5 mg of the sample remain?
13. Solve. Check for extraneous roots.
(a) 32 - 4(3) + 3 = 0
(b) 2 = 2+ 3(2)-™
14. Evaluate, using laws of logarithms.
(a) log4 12 log4 3
(b) 3 log 6 + 2log 5 - log 54✓✓
15. Write log3 5+2 log3 (x - 2) as a single logarithm.
16. Simplify and state restrictions necessary on the variable.
(a) log(x² - 4x - 12) - log(3x - 18)
(b) log(x² - 9) -log(x − 3)
MHF4U
Date:
17. Solve. Check for extraneous roots.
log3 (3x + 7) = 2
(b) log5 (2x + 1) = 1 - log5 (x+2)
18. Solve log4 (3x - 1) + log4 (x+5) = 2 Round your answers to two decimal places and ch
1. (a) log, 625 = 4
(b) log, 12 = x
(c) log12 y = 3
2. (a) 8 10²
(b) 8-2
log 32
(c) 8 log 8
9. (a) x = 10
(b) x = //](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe41e8354-bfe6-4d68-ba89-19d64b1d4579%2F60220b59-4c05-4d46-a699-74e368366c30%2Fj5ze9io_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Chapter 6/7 Review
10. Solve exactly.
42x-5= 7*
11. Solve. Round answers to two decimal places.
5P+4 = 24-5p
12. A 30-mg sample of radioactive isotope decays to 27 mg in 12.5 h.
(a) Calculate its half-life, to two decimal places.
(b) How long will it take (to the nearest hour) until only 5 mg of the sample remain?
13. Solve. Check for extraneous roots.
(a) 32 - 4(3) + 3 = 0
(b) 2 = 2+ 3(2)-™
14. Evaluate, using laws of logarithms.
(a) log4 12 log4 3
(b) 3 log 6 + 2log 5 - log 54✓✓
15. Write log3 5+2 log3 (x - 2) as a single logarithm.
16. Simplify and state restrictions necessary on the variable.
(a) log(x² - 4x - 12) - log(3x - 18)
(b) log(x² - 9) -log(x − 3)
MHF4U
Date:
17. Solve. Check for extraneous roots.
log3 (3x + 7) = 2
(b) log5 (2x + 1) = 1 - log5 (x+2)
18. Solve log4 (3x - 1) + log4 (x+5) = 2 Round your answers to two decimal places and ch
1. (a) log, 625 = 4
(b) log, 12 = x
(c) log12 y = 3
2. (a) 8 10²
(b) 8-2
log 32
(c) 8 log 8
9. (a) x = 10
(b) x = //
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