.38, .37, and .36 are all less than 1
Using exponential functions, it is found that:
a) Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.
b) The patient could have ingest 231 milligrams of caffeine.
A decaying <em>exponential function</em> is modeled by:

In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem:
- Caffeine metabolize at a rate of 13% per hour, hence
.
Then:



Item a:
The coffee cup contains 150 milligrams of caffeine, hence
.
At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).



Since the <u>amount of caffeine will be less than 50 mg</u>, the patient will be ready for the blood test by 6 a.m.
Item b:
This A(0), considering <u>A(11) = 50</u>, hence:



The patient could have ingest 231 milligrams of caffeine.
A similar problem is given at brainly.com/question/25537936
Answer:
~THIS IS DEFINITELY INCORRECT~
This may be incorrect, I tried solving the sum.
All done on the calculator with cleared variables.
2sin(8x) = 0
cos(5x) = 1
Answer:
18
Step-by-step explanation:



Answer:
2.1
Step-by-step explanation:
You need to substitute the 11 for the x.
y = -8.9(11) + 100
y = -97.9 + 100
y = 2.1