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3 years ago

ASAP

Mathematics

1 answer:

vagabundo [1.1K]3 years ago

7 0

Answer:

$\frac{x+12}{4(x+3)}$

Step-by-step explanation:

we have

$(\frac{3}{x} +\frac{1}{4}):(1+\frac{3}{x})$

Multiply by 4x numerator and denominator to remove the fractions

$(\frac{3}{x}(4x) +\frac{1}{4}(4x)):(1(4x)+\frac{3}{x}(4x))$

$\frac{12+x}{4x+12}$

Factor 4 in the denominator

$\frac{x+12}{4(x+3)}$

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5x° = 60°

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3 years ago

What is the area of the triangle bounded by the x-axis, the y-axis, and the line y=−3x+8?

Elden [556K]

Answer:

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Step-by-step explanation:

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2 years ago

Merry is a lab technician with a manufacturer of medical supplies. She is using Boyle's Gas Law to test the pressure inside a sy

BlackZzzverrR [31]

Answer:

The pressure inside the syringe is 1.2 lbs/psi when the volume is 6 cubic centimeters.

Step-by-step explanation:

We are given the following in the question:

When the plunger of a syringe is at a volume of 2 cubic centimeters, the pressure inside the syringe is 0.4 lbs/psi.

Boyle's Gas Law

It states that the pressure of a gas is inversely proportional to volume of gas at a given temperature.

Thus, we can write:

$\dfrac{p_1}{v_1} = \dfrac{p_2}{v_2}$

We have to find the pressure inside the syringe when the volume is 6 cubic centimeters.

Putting values, we get,

$\dfrac{0.4}{2} = \dfrac{p_2}{6}\\\\p_2 = \dfrac{6\times 0.4}{2} = 1.2$

Thus, the pressure inside the syringe is 1.2 lbs/psi when the volume is 6 cubic centimeters.

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=10%20%2B%20%7B8%7D%5E%7B2%7D%20%20%20%5Cdiv%202%20%5Ctimes%20%20%7B3%20%7D%5E%7B2%7D%20" id="T

Harman [31]

=10+(64)/2*(9)
=10+32*9
=10+288
=298

7 0

3 years ago

Mr. James McWhinney, president of Daniel-James Financial Services, believes there is a relationship between the number of client

vlada-n [284]

Answer:

$\sum_{i=1}^n x_i = 334$

$\sum_{i=1}^n y_i =611$

$\sum_{i=1}^n x^2_i =13970$

$\sum_{i=1}^n y^2_i =51581$

$\sum_{i=1}^n x_i y_i =26584$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=13970-\frac{334^2}{10}=2814.4$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=26584-\frac{334*611}{10}=6176.6$

And the slope would be:

$m=\frac{6176.6}{2814.4}=2.195$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{334}{10}=33.4$

$\bar y= \frac{\sum y_i}{n}=\frac{611}{10}=61.1$

And we can find the intercept using this:

$b=\bar y -m \bar x=61.1-(2.195*33.4)=-12.213$

So the line would be given by:

$y=2.195 x -12.213$

Step-by-step explanation:

The data given on this case is:

x: 14,12,20,16,46,23,48,50,55,50

y: 24,24,28,30,80,30,90,85,120,110

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i = 334$

$\sum_{i=1}^n y_i =611$

$\sum_{i=1}^n x^2_i =13970$

$\sum_{i=1}^n y^2_i =51581$

$\sum_{i=1}^n x_i y_i =26584$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=13970-\frac{334^2}{10}=2814.4$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=26584-\frac{334*611}{10}=6176.6$

And the slope would be:

$m=\frac{6176.6}{2814.4}=2.195$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{334}{10}=33.4$

$\bar y= \frac{\sum y_i}{n}=\frac{611}{10}=61.1$

And we can find the intercept using this:

$b=\bar y -m \bar x=61.1-(2.195*33.4)=-12.213$

So the line would be given by:

$y=2.195 x -12.213$

5 0

3 years ago