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:
<h2>9.96</h2>
Step-by-step explanation:
If the data set represents the salaries of all seven employees at a small start-up company (expressed in thousands of dollars). 23, 25, 40, 45, 45, 23, 23 in thousands dollars with variance of 99.14, to get the standard deviation, the formula below will be applicable.
Variance = (standard deviation)²
substituting Variance = 99.14 into the equation we wil have;
99.14 = (standard deviation)²
taking the square root of both sides;
√99.14 = √(standard deviation)²
standard deviation = √99.14
standard deviation = 9.96
The standard deviation of the set of datas is 9.96
Answer:
The answer is 15
Step-by-step explanation:
15 - 3 = 12
Angle DOC is a vertical angle to AOB. Since this is a central angle, arc AB is 50.
Angles AOE, EOD, and DOC are supplementary. 180 - 60 - 50 = 70. Angle AOE is also central, so arc AE is 70.
All arcs combined add to 360, so 360 - 70 - 50 = 240 (we subtracted every other arc besides ECB, which is 240.)
We know angle BOC is vertical to the sum of AOE and EOD, so 60+ 70 = 130. Angle BOC is 130.
