90 degrees you are looking to your side
180 degrees you are looking behind you
around origin of 0,0
the image is flipped into the negative world if it is in posiitve or vice versa
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:
33 = r
Step-by-step explanation:
The circumference is given by
C = 2 * pi *r
207.24 = 2 * 3.14 *r
207.24 = 6.28 *r
Divide each side by 6.28
207.24/6.28 = 6.28 r /6.28
33 = r
Based on the definition of supplementary angles, the measure of both angles are: 80° and 100°.
<h3>What are Supplementary Angles?</h3>
The sum of angles that are supplementary to each other equals 180 degrees.
Let the measure of the supplementary angle be x.
The other angle will be: x + 20.
(x + 20) + x = 180
x + 20 + x = 180
2x + 20 = 180
2x = 180 - 20
2x = 160
x = 160/2
x = 80°
The other angle will be x + 20 = 80 + 20 = 100°.
The measure of the angles are: 80° and 100°.
Learn more about supplementary angles on:
brainly.com/question/8992900
#SPJ1
Change 2/3 to decimal point ( 2/3 = 0.67)
$450 x 0.67 = $301.50 (total sale price)
$450 - $301.50 = $148.50 (final price paid)
so, Wally paid $148.50 for the Desk.