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The amount of radioactive material in an ore sample is given by the function defined by$$A(t)=100(3.2)^{-0.5 t}$$where $A(t)$ is the amount present, in grams, of the sample $t$ months after the initial measurement.(a) How much was present at the initial measurement? (Hint: $t=0 .$ )(b) How much was present 2 months later?(c) How much was present 10 months later?(d) Graph the function.
Algebra
Chapter 12
Inverse, Exponential, and Logarithmic Functions
Section 2
Exponential Functions
Functions
Exponential and Logarithmic Functions
Campbell University
Oregon State University
Harvey Mudd College
Lectures
01:32
In mathematics, the absolu…
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01:23
Solve each problem. See Ex…
03:32
Let $Q$ represent a mass, …
05:31
The activity of a radioact…
02:25
Let $ Q $ represent a ma…
07:38
03:28
Radioactive Decay Suppose …
00:47
Suppose that the amount, i…
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- Suppose that the amount,…
When a certain radioactive…
04:47
Use the radioactive decay …
Okay, so for part, they were given that T is equal to zero. I mean, what's to solve for 80? So that's 103.2 to the power of negative 0.5, Um, time. So did I. Gives us a 100 analysis, finds a of two for Part B, so that gives us a 31.25 And then for a 10 that's going to be a let's see point find that's going to be a 0.298
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