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The half-life of a radioactive substance is 21 days. There are 200g initially (time t = 0). At what time t is the amount of the substance reduced to 85g? Select the closest value. O 25.92 days O 25.53 days O 25.34 days O 26.17 days O 26.35 days O 25.78 days

The half-life of a radioactive substance is 21 days. There are 200g initially (time t = 0). At what time t is the amount of the substance reduced to 85g? Select the closest value. O 25.92 days O 25.53 days O 25.34 days O 26.17 days O 26.35 days O 25.78 days

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem Statement:** The half-life of a radioactive substance is 21 days. There are 200g initially (time \( t = 0 \)). At what time \( t \) is the amount of the substance reduced to 85g? Select the closest value. **Options:** - \( \, \) 25.92 days - \( \, \) 25.53 days - \( \, \) 25.34 days - \( \, \) 26.17 days - \( \, \) 26.35 days - \( \, \) 25.78 days **Explanation:** This problem involves calculating the time it takes for a radioactive substance to decay from an initial mass to a specified mass using its half-life. The half-life is the time required for a quantity to reduce to half its initial value. The goal is to find the closest time value when the mass of the substance becomes 85g.
Transcribed Image Text:**Problem Statement:** The half-life of a radioactive substance is 21 days. There are 200g initially (time \( t = 0 \)). At what time \( t \) is the amount of the substance reduced to 85g? Select the closest value. **Options:** - \( \, \) 25.92 days - \( \, \) 25.53 days - \( \, \) 25.34 days - \( \, \) 26.17 days - \( \, \) 26.35 days - \( \, \) 25.78 days **Explanation:** This problem involves calculating the time it takes for a radioactive substance to decay from an initial mass to a specified mass using its half-life. The half-life is the time required for a quantity to reduce to half its initial value. The goal is to find the closest time value when the mass of the substance becomes 85g.
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