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.
7/9 = 14/18
14-5=9
9/18=1/2
-3 = x/-9
To make this easier, I'll put it in normal numbers
(-3 = x/-9) -1
3 = x/9
Multiply both sides by nine to take out the division.
27 = x
Hope that this helped!
Answer:
g(x) 1/3-4
Step-by-step explanation:
Answer:
Step-by-step explanation:
- Multiply both the matrices on left side, we find:
- Comparing the corresponding elements of both the matrices on both sides, we find:
