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Olenka [21]
3 years ago
11

In AMNP, what is sin M? 12 P M 5 13 N

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
4 0

Answer:

A

Step-by-step explanation:

triangle ez ez and yes i am smart big brain

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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.

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If f(x) = |x| and g(x) = |x| − 4, which transformation is applied to f(x) to get g(x)
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The graphs have precisely the same shape, but that of g(x) is that of f(x) translated 4 units DOWN.
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kayla took $36.75 to the state fair. each ticket in the fair cost x dollars. kayla bought 3 tickets. write an expression that re
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