The half-life of cesium-137 is 30 years. Suppose we have a 700-mg sample. a) Find the mass that remains after t years. m(t): = 700e^(-.023104906t) b) How much of the sample remains after 190 years? c) After how long will only 9 mg remain?
The half-life of cesium-137 is 30 years. Suppose we have a 700-mg sample. a) Find the mass that remains after t years. m(t): = 700e^(-.023104906t) b) How much of the sample remains after 190 years? c) After how long will only 9 mg remain?
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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![The half-life of cesium-137 is 30 years. Suppose we have a 700-mg sample.
a) Find the mass that remains after \( t \) years.
\[ m(t) = 700e^{-0.023104906t} \]
b) How much of the sample remains after 190 years?
\[ \text{[Input box for answer]} \]
c) After how long will only 9 mg remain?
\[ \text{[Input box for answer]} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F220673f3-4665-41cf-82e7-eaf0663df6ee%2F606edc19-cb4d-4eea-be52-0173001933d6%2Ff1fti0e_processed.png&w=3840&q=75)
Transcribed Image Text:The half-life of cesium-137 is 30 years. Suppose we have a 700-mg sample.
a) Find the mass that remains after \( t \) years.
\[ m(t) = 700e^{-0.023104906t} \]
b) How much of the sample remains after 190 years?
\[ \text{[Input box for answer]} \]
c) After how long will only 9 mg remain?
\[ \text{[Input box for answer]} \]
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