An unknown substance is decaying exponentially. You measure its initial mass to be g(0) = 45 grams. One week later (which is how many hours?), its mass is measured to be q(7) = 30 grams. • First write down the half-life equation. The decay o this substance is modelled by the formula q(t) = 90-2-t/x • You are given the initial quality is q(0) = 45 grams. Does this tell you what go is? o at t = 7 (days) you have a quantity of 30 grams. Plug in t = 7, q(7) = 30 and solve for X. Finally, answer the question. What is the half-life? (include units). Give a decimal approximation that is within 1 hour of accurate.
An unknown substance is decaying exponentially. You measure its initial mass to be g(0) = 45 grams. One week later (which is how many hours?), its mass is measured to be q(7) = 30 grams. • First write down the half-life equation. The decay o this substance is modelled by the formula q(t) = 90-2-t/x • You are given the initial quality is q(0) = 45 grams. Does this tell you what go is? o at t = 7 (days) you have a quantity of 30 grams. Plug in t = 7, q(7) = 30 and solve for X. Finally, answer the question. What is the half-life? (include units). Give a decimal approximation that is within 1 hour of accurate.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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
Transcribed Image Text:An unknown substance is decaying exponentially. You measure its initial mass to be g(0) = 45 grams. One week later
(which is how many hours?), its mass is measured to be q(7) = 30 grams.
• First write down the half-life equation. The decay o this substance is modelled by the formula
q(t) = 90-2-t/x
• You are given the initial quality is q(0) = 45 grams. Does this tell you what go is?
o at t = 7 (days) you have a quantity of 30 grams. Plug in t = 7, q(7) = 30 and solve for X.
Finally, answer the question. What is the half-life? (include units). Give a decimal approximation that is within 1
hour of accurate.
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