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Jobisdone [24]
3 years ago
11

Please help i am so confused

Mathematics
1 answer:
harkovskaia [24]3 years ago
3 0

Answer:

q\geq -81

Step-by-step explanation:

First, begin by multiplying \frac{q}{27} \\ by its reciprocal.

To do this, flip the fraction upside-down.

The resulting equation looks like this: \frac{27}{1} *\frac{q}{27}

Cancel out the two 27's and you are left with \frac{q}{1} , which you can simplify to q.

Next, multiply -3 by \frac{27}{1} . Remember, what you do on one side, you must do on the other.

Your equation should look like this:

q\geq -81

The final answer is q\geq -81 .

Have a nice day!

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Find the slope of a line if the points (2,-1) and (5,3) are on the line
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Answer:

\huge{ \boxed{ \sf{ \frac{4}{3} }}}

Step-by-step explanation:

\star{ \sf{ \: Let \: the \: points \: be \: A \: and \: B}}

\star{ \sf{ \: Let \: a(2,-1)  \: be \: (x1 \:, y1) \: and \: b (5,3)  \: be \: (x2 \:, y2)}}

\underline{ \sf{Finding \: the \: slope \: of \: the \: line}}

\boxed{ \sf{Slope =  \frac{y2 - y1}{x2 - x1} }}

\mapsto{ \sf{Slope =  \frac{3 - ( - 1)}{5 - 2} }}

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\mapsto{ \sf{Slope =  \frac{4}{3} }}

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4 0
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
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Answer: {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}

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Required Sample space would be : {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}

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