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.
2 because you make them with the same denominators that both go into each other EX: 8x9=72 7/8 now equals 63/72 and 4/9 now equals 28/72 now add them together 63/72 + 28/72= 91/72= 1 19/72
Answer:
independent: time (hours)
dependent: distance (miles)
Step-by-step explanation:
The independent variable would be time because it can be changed depending on his walking speed.
The dependent variable would be distance
Answer:
Baking c cookies and dividing them evenly among 4 friends.
Step-by-step explanation: