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.
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Answer:
1 A= pi 21^2
2 C=pi 21
3 A= pi 10.5^2
4 C= 2pi 10.5
Step-by-step explanation:
Answer:
<h2>The answer is option A</h2>
Step-by-step explanation:
To find f(4) , substitute the value of x that's 4 into f(x). That is for every x in f(x) replace it with 4.
We have
f(4) = 2 - 3(4)
= 2 - 12
We have the final answer as
<h2>f(4) = - 10</h2>
Hope this helps you
C. 21/45
If you multiply both the 7 and 15 by 3, you get 21 and 45.
