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Marysya12 [62]
3 years ago
7

I WILL GIVE BRAINLIEST!!!!!!

Mathematics
1 answer:
katovenus [111]3 years ago
5 0

Answer:

I think Quadrant 1. I;m not trying to just answer for the points

Step-by-step explanation:

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A cup of coffee contains about 100 mg of caffeine. Caffeine is metabolized and leaves the body at a continuous rate of about 12%
Mamont248 [21]

Answer:

a. A = C_{0}(1-x)^t\\x: percentage\ of \ caffeine\ metabolized\\

b. \frac{dA}{dt}= -11.25 \frac{mg}{h}

Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

A= C_{0}(1-x)^t\\t: time \ in \ hours\\x: percentage \ of \ caffeine\ metabolized\\

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

\frac{dA}{dt} =C_{0}(1-x)^t \ln (1-x)\\\frac{dA}{dt} =100*0.88\ln(0.88)\\\frac{dA}{dt} =-11.25 \frac{mg}{h}

The rate is negative as it represents the amount of caffeine leaving the body at certain time.

3 0
3 years ago
there are 28 tables in the cafeteria.each table has 12 students sitting at it.fourth graders sit at 13 of the yables.fifth grade
Darya [45]
Hope this helps!

28 - 13 = 15
15 x 12 = 180 Fifth graders
6 0
3 years ago
2. A dance floor is a square with an area of 1,444 FT(2). What are the dimensions of the dance floor?
svet-max [94.6K]

Answer:

The answer is C use a calculator

Step-by-step explanation:

not that hard lol

8 0
3 years ago
The number of boys in a school is 2000 less than the number of girls .Then find the number of girls in the school,if the total n
melamori03 [73]

Answer:

8000 girls

Step-by-step explanation:

3 0
3 years ago
The function ​f(x)​ is the total amount spent at a store, when purchasing x items that are $5 each and the items are not taxable
Keith_Richards [23]
F(x)=5x

normal domain: all real numbers
practical domain: <span>all positive integers

</span>becasue we can substituent with any positive integer in the place of x
3 0
3 years ago
Read 2 more answers
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