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Law Incorporation [45]
3 years ago
6

Solve S = 2πrh for r

Mathematics
1 answer:
Elodia [21]3 years ago
6 0
Divide both sides by 2<span>πh:-

r = S / 2</span><span>πh  Answer</span>
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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
4) Solve radical equations
blondinia [14]
R - 10 = 18 - r
2r = 28
r = 14
7 0
3 years ago
A sequence is defined by the recursive function f(n + 1) = one-halff(n). If f(3) = 9 , what is f(1) ?
almond37 [142]

Answer:

d.) 81

Step-by-step explanation:

f(2) would be 27 and 27x3 is 81.

81/3=27

27/3=9

9 0
3 years ago
Read 2 more answers
Which is the best definition of an exterior angle of a triangle
Nina [5.8K]

Answer:

exterior of an angle should add up to 180 with the other angle. so the angle next to the exterior angle should add up to 180. the exterior angle should be the one outside or facing the or opening up to the outside.

Step-by-step explanation:

5 0
3 years ago
Write the phrase "Five subtracted from three times any number" as an algebraic expression
Dahasolnce [82]

Answer: 3x-5

Step-by-step explanation:

Five subtracted from three times any number can be represented as 3x-5.

4 0
3 years ago
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