The half-life of krypton-91 (9Kr) is 10 s. At time t = 0 a heavy canister contains 4 g of this radioactive gas. (a) Find a function m(t) = mo2-t/h that models the amount of 91Kr remaining in the canister after t seconds. m(t) = 10 (b) Find a function m(t) = moe-rt that models the amount of 91Kr remaining in the canister after t seconds. (Round your r value to five decimal places.) m(t) = (c) How much 91Kr remains after 1 min? (Round your answer to three decimal places.) (d) After how long will the amount of 91Kr remaining be reduced to 1 ug (1 microgram, or 10-° g)? (Round your answer to the nearest whole number.) sec
The half-life of krypton-91 (9Kr) is 10 s. At time t = 0 a heavy canister contains 4 g of this radioactive gas. (a) Find a function m(t) = mo2-t/h that models the amount of 91Kr remaining in the canister after t seconds. m(t) = 10 (b) Find a function m(t) = moe-rt that models the amount of 91Kr remaining in the canister after t seconds. (Round your r value to five decimal places.) m(t) = (c) How much 91Kr remains after 1 min? (Round your answer to three decimal places.) (d) After how long will the amount of 91Kr remaining be reduced to 1 ug (1 microgram, or 10-° g)? (Round your answer to the nearest whole number.) sec
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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![The half-life of krypton-91 (9Kr) is 10 s. At time t = 0 a heavy canister contains 4 g of this radioactive gas.
(a) Find a function m(t) = m,2-t/h that models the amount of 91Kr remaining in the canister after t seconds.
m(t) = 10
(b) Find a function m(t) = moe-rt that models the amount of 91Kr remaining in the canister after t seconds. (Round your r value to five decimal places.)
m(t) =
(c) How much 9'Kr remains after 1 min? (Round your answer to three decimal places.)
(d) After how long will the amount of 9'Kr remaining be reduced to 1 µg (1 microgram, or 10-° g)? (Round your answer to the nearest whole number.)
sec](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F816a2da0-337a-48cf-ad05-f3feadb237d1%2Fbf126f5d-02b4-4a42-ab9b-90663a39c9c6%2F7vdgj59_processed.png&w=3840&q=75)
Transcribed Image Text:The half-life of krypton-91 (9Kr) is 10 s. At time t = 0 a heavy canister contains 4 g of this radioactive gas.
(a) Find a function m(t) = m,2-t/h that models the amount of 91Kr remaining in the canister after t seconds.
m(t) = 10
(b) Find a function m(t) = moe-rt that models the amount of 91Kr remaining in the canister after t seconds. (Round your r value to five decimal places.)
m(t) =
(c) How much 9'Kr remains after 1 min? (Round your answer to three decimal places.)
(d) After how long will the amount of 9'Kr remaining be reduced to 1 µg (1 microgram, or 10-° g)? (Round your answer to the nearest whole number.)
sec
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