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3 years ago

Divide 20m^2n^3 - 10m^2n by 5mn

1 answer:

6 0

$\frac{20 {m}^{2} {n}^{3} - 10 {m}^{2}n }{5mn} \\ = \frac{5mn(4m {n}^{2} - 2m) }{5mn} \\ = 4 {m}^{2} n - 2m \\ = 2m(2mn - 1)$

Hope this helps. - M

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Doss [256]

So, x > 7 - 2; x >5 or

4 - x > 6; 4 - x - 6 > 0;

4 - 6 -x > 0;

- 2 -x > 0;

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Finally, x > 5 or x < -2;

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3 years ago

Isaac is organizing a 5-kilometer road race. The safety committee

Artyom0805 [142]

Answer:

<h2>10 volunteers are more than recommended</h2>

Step-by-step explanation:

The recommended number of volunteers is five (5)

Since the the distance of the race is 5km,

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3 years ago

An electrician charges $40 dollars to come to your house. She also charges $55 for each hour that she works. The electricion cha

Alexxx [7]

Answer:

your question doesn't make sense if an electrician came to your house it would cost $40 then $55 dollars per hour but there is no way that you can solve that (40+(55•2)=150+55=205 which is already over $190 dollars

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3 years ago

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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3 years ago

Shawn and dorian rented bikes from two different rental shops. the prices in dollars, y, of renting bikes from the two different

Hitman42 [59]

They paid $24 each for the rental.

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3 years ago

Read 2 more answers