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3 years ago

Let n = 5. What is the value of 4n − 3?

Mathematics

2 answers:

Sphinxa [80]3 years ago

5 0

4×5= 20
20-3=17
so the answer is 17

Alex73 [517]3 years ago

3 0

4n − 3
4 × 5 -3 = 17

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2 years ago

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

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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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3 years ago

Ms. Jenkins stocks a pond with fish. For every 6 bluegill fish, she puts in 1 rock bass fish. Does this ratio mean that Ms. Jenk

snow_tiger [21]

Answer:

Ms. Jenkins puts for every 6 bluegill fish one rock bass fish so she puts the number multiple of 7

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2 years ago

the measure of the angle is 88 degrees greater than its complement. what is the measure of the complement?

vazorg [7]

Let the angle be x and it's complement be c.

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(c+88) + c = 90
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Compliment = 1
Angle = 89

6 0

3 years ago