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:
60 + 12 * g, with g representing the number of extra gigabytes
Step-by-step explanation:
First, we know that Maritza has to pay $60 for 10GB of data, no matter what. Therefore, the base cost of the cell phone plan is 60 dollars, and all extra costs must be added to that. Currently, our expression is therefore 60 + something = cost of cell phone plan.
After that, the plan costs $12 for each gigabyte of data past 10 GB. This means that, for example, if Maritza uses 11 gigabytes, the plan will cost 60 (the base amount) + 12 for each gigabyte past 10 GB. There are 11-10=1 extra gigabytes, so the cost is 60 + 12 * 1 = 72 dollars. For each extra gigabyte, 12 dollars are added, so we can represent this as
60 + 12 * g, with g representing the number of extra gigabytes
Answer:
the y intercept is 6
Step-by-step explanation:
Step 1: Add -4x to both sides.
4x+2y+−4x=12+−4x
2y=−4x+12
Step 2: Divide both sides by 2.
2y
/2 =
−4x+12
/2
y=−2x+6
Points (3,6)
x intercept is 3 and y intercept is 6
I believe x=16 is the answer.
Answer:
9 3/16
Step-by-step explanation:
to add fractions make sure they have a common denominator
