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noname [10]
3 years ago
11

Please help me!!!!!!! It's very important!!!!

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
5 0
A = pi r^2
a = 3.14 * 97^2
a = 29,544.26 mm^2
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Jacob consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Jacob's body
sasho [114]

Answer: 0.87400mg of caffeine.

Step-by-step explanation:

You have

N(t)=N0(e^−rt)(1)

as a general Exponential decay equation where N0 is the amount at t=0, N(t) is the amount remaining at time t and r is the exponential decay constant. You're specifically given that after 10 hours, the decay factor is 0.2601, i.e.,

N(10)/N(0)=N0(e^−10r)/N0(e^0)= e^−10r=0.2601 . .(2)

Taking the last 2 parts of (2) to the power of 0.1t gives

e^−rt=0.2601^.1t . .(3)

This means that

N(t)=N0(e^−rt)=N0(0.2601^.1t). .(4)

Also,

N(2.56)N(1.56)=N0(0.2601.1(2.56))N0(0.2601.1(1.56))=0.2601.1(2.56−1.56)=0.2601^.1

= 0.87400mg of caffeine.

6 0
3 years ago
If one quart is the same amount as 2 pints, how many are in 8 quearts?
Verizon [17]

Answer

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Step-by-step explanation:

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difference = $110.95 - $88.76 = $22.19

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10

Step-by-step explanation:

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