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belka [17]
3 years ago
5

Acellus

Mathematics
1 answer:
nekit [7.7K]3 years ago
3 0

Answer:

Step-by-step explanation:

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<span>-10 < x - 9

</span><span>-10+9 < x - 9+9

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What is the constant of the variation for the inverse variation?
Alisiya [41]

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2nd possible answer is the correct one; the const. of var. is 1/3.

Step-by-step explanation:

xy = 1/3 can be rewritten in inverse variation format:  Divide both sides by x to isolate y.  Then y = (1/3)(1/x).  The constant of (inverse) variation is 1/3.


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3 years ago
A manufacturing plant earned $80 per man-hour of labor when it opened. Each year, the plant earns an additional 5% per man-hour.
baherus [9]

A function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(\mathrm{t})=80 \times 1.05^{\mathrm{t}}

<h3><u>Solution:</u></h3>

Given that  

A manufacturing plant earned $80 per man-hour of labor when it opened.

Each year, the plant earns an additional 5% per man-hour.

Need to write a function that gives the amount A(t) that the plant earns per man-hour t years after it opens.  

Amount earned by plant when it is opened = $80 per man-hour

As it is given that each year, the plants earns an additional of 5% per man hour

So Amount earned by plant after one year = $80 + 5% of $80 = 80 ( 1 + 0.05) = (80 x 1.05)

Amount earned by plant after two years is given as:

=(80 \times 1.05)+5 \% \text { of }(80 \times 1.05)=(80 \times 1.05)(1.05)=80 \times 1.052

Similarly Amount earned by plant after three years =80 \times 1.05^{t}

\begin{array}{l}{\Rightarrow \text { Amount earned by plant after } t \text { years }=80 \times 1.05^{t}} \\\\ {\Rightarrow \text { Required function } \mathrm{A}(t)=80 \times 1.05^{t}}\end{array}

Hence a function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(t)=80 \times 1.05^{t}

5 0
3 years ago
Find the missing angle measure for the quadrilaterals below.
nydimaria [60]

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1. = 99 degrees   2. = 85 degrees

Step-by-step explanation: All quadrilaterals have a total of 360 degrees. You can figure out the rest.

5 0
3 years ago
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The value of which of these expressions is closest to e?
Anna [14]

Answer:

Using a calculator, we can check that e=2.718281828.

Step-by-step explanation:

Lets evaluate each one of our expression the check which one is closest to e:

(1+ \frac{1}{31} )^{31}=2.675686306

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We can conclude that the value of (1 +1/34) to the power of 34 is the closest to the value of e.

4 0
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