Answer:
19.44 hours, about 19 hours 26 minutes
Step-by-step explanation:
The exponential equation that describes your caffeine level can be written as ...
c(t) = 120·(1 -0.12)^t . . . . where t is in hours and c(t) is in mg
We want to find t for c(t) = 10, so ...
10 = 120(0.88^t)
10/120 = 0.88^t . . . . . . . divide by 120
log(1/12) = t·log(0.88) . . . take logarithms
t = log(1/12)/log(0.88) ≈ 19.4386
It will take about 19.44 hours, or 19 hours 26 minutes, for the caffeine level in your system to decrease to 10 mg.
Answer:
An inflection point is a point on the graph of a function at which the concavity changes. Points of inflection can occur where the second derivative is zero.
Step-by-step explanation:
Since this is a percentage, all you have to do is divide 21 from 80 and multiply that by 100
21/80 = .2625 * 100 is 26.25
The answer closest to this is 25%, so the answer is 25%
Hope this helped! :D
First you would add 5 to both sides
X/8=3
Then multiply both sides by 8
X=24
Answer:
-21, -1, 0.1, 3, 4
Step-by-step explanation: the higher the negative number is the lower the number is for example -30 is lowe then -1
