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.
Answer:
Billy went from rich to broke.
Step-by-step explanation:
Answer:
x=16;y=8
Step-by-step explanation:
x=length
y=width
the length of a rectangle is twice the width
so,
x=2y........(1)
the perimeter is 48 inches
so,
2(x+y)=48
x+y=24....(2)
2y+y=24 [from 1]
y=8........(2)
so
x=2.8 [from 1 &2]
x=16
pls mark as brainliest
20 and 3/4 is 20.75
20 and 7/8 is 20.875
20 and 1/5 is 20.2
20 and 4/5 is 20.8
