10.The volume V of a given mass of gas varies inversely as the pressure P. When V =2m3 ,P=500 N/m2 .Find the volume when the pressure is 400N/m2 Find the pressure when the volume is 5 m3

Answers

Answer 1

Answer:

[tex]2.5\; \rm m^3[/tex].

Step-by-step explanation:

Let [tex]V_1[/tex] and [tex]P_1[/tex] denote the volume and pressure of this gas before the change. Let [tex]V_2[/tex] and [tex]P_2[/tex]denote the pressure of this gas after the change.

The ratio between the volume of this gas before and after the change would thus be [tex]\displaystyle \frac{V_1}{V_2}[/tex].

The ratio between the pressure of this gas before and after this change would be [tex]\displaystyle \frac{P_1}{P_2}[/tex].

Because the volume of a given mass of (ideal) gas varies inversely with pressure, these two ratios should be reciprocal of each other. That is:

[tex]\displaystyle \frac{V_1}{V_2} = \frac{1}{\displaystyle \displaystyle \left(\frac{P_1}{P_2}\right)}[/tex].

In other words:

[tex]\displaystyle \frac{V_1}{V_2} = \frac{P_2}{P_1}[/tex].

Rearrange and solve for [tex]V_2[/tex], the volume of this gas after the change:

[tex]\displaystyle V_1 = V_2\cdot \left(\frac{P_2}{P_1}\right)[/tex].

[tex]V_2 = \displaystyle V_1 \cdot \left(\frac{P_1}{P_2}\right)[/tex].

From the question:

Volume of this gas before the change: [tex]V_1 = 2\; \rm m^3[/tex].Pressure of this gas before the change: [tex]P_1 = 500\; \rm N \cdot m^{-2}[/tex].Pressure of this gas after the change: [tex]P_2 = 400\; \rm N \cdot m^{-2}[/tex].

Solve for [tex]V_2[/tex]:

[tex]\begin{aligned} V_2 &= V_1 \cdot \left(\frac{P_1}{P_2}\right) \\ &= 2\; \rm m^3 \times \frac{500\; \rm N \cdot m^{-2}}{400\; \rm N \cdot m^{-2}} = 2.5\; \rm m^3\end{aligned}[/tex].


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Step-by-step explanation:

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Answer:

Step-by-step explanation:

Identify the number of decimal places in each factor.

    0.47

  × 3.2

The number of decimal places in 0.47 is

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The number of decimal places in the product will be the sum of the factors’ decimal places. So the product will have

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Answers

Answer:-7

Step-by-step explanation:

Answer:

$-8

Step-by-step explanation:

Subtract 3 from 7 for the first day. She has $4 left

Subtract 3 from 4 for the second day. She has $1 left

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Subtract 3 from -2 for the fourth day. She has $-5 left

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation: 7/5

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Stan’s Skate Shop is having a sale on skateboards. The original price for its Extreme Skate Board was $84.50. The sale price for the skateboard is $50.70. What is the percent decrease in the price of the skateboard?

Answers

Answer:

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Step-by-step explanation:

84.50 x 0.60% = 50.7 (also 50.70)

I hope my answer helps even though I am in middle school :)

The required percent decrease in the price of the skateboard is 40%.

The original price for its Extreme Skate Board was $84.50. The sale price for the skateboard is $50.70. What is the percent decrease in the price of the skateboard is to be determined.

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Here,
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Thus, the required percent decrease in the price of the skateboard is 40%.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Due Wed 10/21/2020 11:30 po
The length of a rectangle is 3 inches more than the width. The area is 28 square inches. Find the dimensions.
inches.
The length of the rectangle is
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C
Get Help:
Video
eBook
Points possible: 1
Unlimited attempts.
MA
Submit
11)
/1)
311)
0111

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Answer:

MARK AS BRAINLIST

w = 4

L = 7

Step-by-step explanation:

L = length of rectangle

w = width of rectangle

L = 3 + w

A = 28

A = L*w

=(3+w) * w

28 = 3w + w^2

w^2 + 3w - 28 = 0

w^2 + 7w - 4w - 28 = 0

w ( w + 7 ) - 4 ( w + 7 ) =0

( w - 4 ) ( w + 7 ) = 0

w = 4. and w = -7

take the postive value, w = 4

therefore L= 3+4 = 7

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Answers

Answer:

A quadratic condition is a condition of the subsequent degree, which means it contains, in any event, one term that is squared. The standard structure is ax² + bx + c = 0 with a, b, and c being constants, or mathematical coefficients, and x is an obscure variable.

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Answer:

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Step-by-step explanation:

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Explanation:

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Hope this helps

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Answer:

A) If a quadrilateral has 4 equal sides and 4 equal angles, then each of its angles must measure 90 degrees.

Step-by-step explanation:

just did the unit review on edgenutiy 2020

hope this helps :)

Answer:

A) If a quadrilateral has 4 equal sides and 4 equal angles, then each of its angles must measure 90 degrees.

Hope it helps!! :)


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Answers

Answer:

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Step-by-step explanation:

Answer: B multiply Three-fourths by 8.

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answer:

1: <

2: >

3: <

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Answers

Answer

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Answers

Answer:

29,205

Step-by-step explanation:

100% - 17.5% = 82.5%

82.5% * 35,400 = answer

make percent a decimal

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The required current value of the ambulance is given as $29,205.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,

The value of an ambulance depreciated by 17.5% from the purchase price of $35,400 a year ago.

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Current price =  $29,205

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Answers

Answer:

[tex](4,2 )[/tex]

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Step-by-step explanation:

The graph is a linear equation starting at 0.

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so it's the first answer.

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A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form y = mx + b.

The graph is a linear equation origin at 0.

Since b = 0, the 2nd and 3rd choices are incorrect.

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so the first answer is correct which is y = 35x.

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The opposite of -4 is 4

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Answer:

Step-by-step explanation:

Since you know both triangles are congruent, you can say that the corresponding sides are equal. For example, you can say:

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4y-3 = 54

4y=57

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There are 3 different cheeses at the deli. Yasuko buys Three-fourths of a pound of each. There are also 4 different meats. She buys One-half of a pound of each. How much total meat and cheese did Yasuko buy at the deli?

Answers

Answer:

Yasuko buys 2.25 pound of cheeses and 6 pound of meats at the deli

Step-by-step explanation:

3 x 3/4 = 2.25 pound cheese

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Answer:

4  1/4

Step-by-step explanation:

I did the test

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