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iris [78.8K]
2 years ago
6

Ben and Cam are scuba diving. Ben is 15.8 meters below the

Mathematics
1 answer:
notka56 [123]2 years ago
6 0
<h3>Answer: Cam is 11.6 meters below the surface of the water</h3>

=======================================================

Explanation:

Check out the diagram below.

Draw a vertical number line with 0 at the center. The positive values are above it, while the negative values are below it.

Between -15 and -16, closer to -16, plot the value -15.8 to indicate Ben's position. I have done so as the point B.

We move 4.2 units up to arrive at Cam's position

-15.8 + 4.2 = -11.6

So Cam is 11.6 meters below the surface of the water.

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Given:

Line P Q has points (-5, 3) and (5, 1).

Line R S has points (-4, -2) and (0, -4).

To find:

The relationship between lines PQ and RS.

Solution:

If a line passing through two points, then the slope of line is

m=\dfrac{y_2-y_1}{x_2-x_1}

Line P Q has points (-5, 3) and (5, 1). So, slope of line PQ is

m_1=\dfrac{1-3}{5-(-5)}

m_1=\dfrac{-2}{5+5}

m_1=\dfrac{-2}{10}

m_1=\dfrac{-1}{5}

Line R S has points (-4, -2) and (0, -4). So, slope of line RS is

m_2=\dfrac{-4-(-2)}{0-(-4)}

m_2=\dfrac{-4+2}{0+4}

m_2=\dfrac{-2}{4}

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They are not parallel because their slopes are not equal.

Therefore, the correct option is C.

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2 years ago
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Varia is studying abroad in Europe. She is required pay $3,500 (in US dollars) per year to the university, however, she must pay
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Answer:

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Step-by-step explanation:

1dollar = 0.7306euros

thus $3,500 dollars can be found by a rule of three

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1             ⇒  0.7306

3500     ⇒        x

we find x as follows:

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She will pay 2,557.1  euros per year.

Dividing between the 12 months of the year:

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2 years ago
Let C(x) represent the cost of producing x items and p(x) be the sale price per item if x items are sold. The profit P(x) of sel
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Answer:

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(b) Average profit P(x)/x = P/x = 0.02x+60-80/x

Marginal profit dP/dx = 0.04x+60

Step-by-step explanation:

Cost function: C(x) = -0.02x^2+40x+80

Price function: p(x) = 100

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P=0.02x^{2}+60x-80\\dP/dx=0.02*2*x+60+0\\dP/dx=0.04x+60

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