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Dafna1 [17]
4 years ago
5

What is the sum of 13 + (-8)?

Mathematics
2 answers:
stich3 [128]4 years ago
6 0

the answer is 5 because it just is

aksik [14]4 years ago
4 0

Answer:

The answer is 5

Step-by-step explanation:

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What is −8≥−5x+7≥-33
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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
What is the gcf of 45 and 9?​
olganol [36]

Answer:

9

Step-by-step explanation:

The factors of 9 are: 1, 3, 9

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 9.

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