7. A radioactive material has a half-life of 50 years. a. If you start with 1,000 grams of the radioactive material, exactly how long will it take to reduce to 62.5 grams? b. Determine the decay constant k. Leave your answer in terms of a logarithm. 1s the value of the constant k (you found in point b.) positive or negative? 87 87

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 13CC: Suppose that the initial mass of radioactive substance is m0 and the half-life of the substance is...
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7. A radioactive material has a half-life of 50 years.
a.
If you start with 1,000 grams of the radioactive material, exactly how long will it take to reduce to
62.5 grams?
b.
Determine the decay constant k. Leave your answer in terms of a logarithm.
Is the value of the constant k (you found in point b.) positive or negative?
4.
Transcribed Image Text:7. A radioactive material has a half-life of 50 years. a. If you start with 1,000 grams of the radioactive material, exactly how long will it take to reduce to 62.5 grams? b. Determine the decay constant k. Leave your answer in terms of a logarithm. Is the value of the constant k (you found in point b.) positive or negative? 4.
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