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aliina [53]
3 years ago
12

The volume of gas in a container at a constant temperature varies inversely as the pressure. If the volume is 32 cubic centimete

rs at a pressure of 8 pounds, find the pressure when the volume is 60 cubic centimeters.
Mathematics
1 answer:
Valentin [98]3 years ago
8 0
<h2>Answer:</h2><h2>When the volume is 60 cubic centimeters, the pressure is 4.26 pounds</h2>

Step-by-step explanation:

Let V be the volume of the gas and P be its pressure.  

The volume of a gas in a container varies inversely with the pressure on the gas:  

    V = k/P

VP = k, where k represents constant temperature

Given the volume is 32 cubic centimeters at a pressure of 8 pounds

where V1 = 32, P1 = 8 ... (1)

The pressure when the volume is 60 cubic centimeters,

V2 = 60, P2 = ?  ... (2)

Comparing eq (1) and (2)

V1 P1 = V2 P2

32 (8) = 60 (P2)

256 = 60 (P2)

P2 = \frac{256}{60}

P2 = 4.26 pounds

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Answer:

x<-3

Step-by-step explanation:

-2(x+1)+6x<-14

Distribute

-2x-2 + 6x < -14

Combine like terms

4x -2 < -14

Add 2 to each side

4x-2+2 < -14+2

4x < -12

Divide by 4

4x/4 < -12/4

x<-3

3 0
3 years ago
Which of the following is a way in which statistics are made to be misleading?
hodyreva [135]

The statistics are made to be misleading in such a way that the scale is altered on the graph. So, option C is correct.

<h3>What are statistics?</h3>

Statistics is the study of the discipline that concerns the organization, collection, analysis, and presentation of data.

A hasty generalization is fallacy in which a conclusion is reached before sufficient or unbiased evidence is gathered.

The statistics are made to be misleading in such a way that the scale is altered on the graph. So, option C is correct.

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6 0
2 years ago
The interior ages of a triangle have measure
Nina [5.8K]

Answer:

See below in bold.

Step-by-step explanation:

1. The 3 angles in a triangle add up to 180 degrees.

So x = 180 - (55 + 25)

= 180 - 80

= 100 degrees.

2.  The 4 angles in a quadrilateral add up to 360 degrees,, so

3x + 127 + 54 + 119 = 360

3x + 300 = 360

3x = 360 - 300

3x = 60

x = 20 degrees.

3. Exterior angle

= 94 + 42

= 136 degrees.

3 0
3 years ago
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Is 23 prime or composite ?
dalvyx [7]
It is prime, it has no factors besides 1,23
3 0
3 years ago
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The answer to this problem?
LenaWriter [7]

The simplified expression of \sqrt{\frac{162x^9}{2x^{27}}} is \frac{9}{x^9}

<h3>How to simplify the expression?</h3>

The expression is given as:

\sqrt{\frac{162x^9}{2x^{27}}}

Divide 162 and 2 by 2

\sqrt{\frac{81x^9}{x^{27}}}

Take the square root of 81

9\sqrt{\frac{x^9}{x^{27}}}

Apply the quotient rule of indices

9\sqrt{\frac{1}{x^{27-9}}}

Evaluate the difference

9\sqrt{\frac{1}{x^{18}}}

Take the square root of x^18

\frac{9}{x^9}

Hence, the simplified expression of \sqrt{\frac{162x^9}{2x^{27}}} is \frac{9}{x^9}

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