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tino4ka555 [31]
4 years ago
10

Simplify each expression 6 +2(x-8) +3x -11 + x

Mathematics
1 answer:
Rufina [12.5K]4 years ago
4 0
First get rid of the brackets:

6+2x-16+3x-11+x

Then group the x terms and the constant terms

2x+3x+x + 6-16-11

and add up

6x - 21


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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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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
The number 1000 has how many factors of 10
melomori [17]

Answer:

<h2>10³ = 1000</h2>

<h3>∴ 1000 has 3 factors of 10.</h3>

Hope it will be helpful!!!

<h2>My Pleasure!!! </h2>
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weeeeeb [17]

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Step-by-step explanation:

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