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.
You first do 3 + 2, which would equal 5. Then, you would just do 3/5.
- Calculating the area of a soccer field, Calculate area of _______
- Calculate the average height of everyone in your family
Answer:
In think the answer is 42,000
Step-by-step explanation:
4x - 57 + 3x + 25 + 2x - 3 + 4x + 3x + 15 = 540
16x - 20 = 540
16x = 560
x = 35
hope this helped
