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11111nata11111 [884]
3 years ago
14

The volume of a gas in a container varies inversely with the pressure on the gas. A container of helium has a volume of 370in3 u

nder a pressure of 15psi (pounds per square inch). Write the equation that relates the volume, V, to the pressure, P. What would be the volume of this gas if the pressure was increased to 25psi?
Mathematics
1 answer:
Elan Coil [88]3 years ago
5 0

Answer:

Step-by-step explanation:

When two variables vary inversely, it means that an increase in one would lead to a decrease in the other and vice versa. Since the volume of a gas, V in a container varies inversely with the pressure on the gas, P, if we introduce a constant of proportionality, k, the expression would be

V = k/P

If V = 370 in³ and P = 15psi, then

370 = k/15

k = 370 × 15 = 5550

The equation that relates the volume, V, to the pressure, P would be

V = 5550/P

if the pressure was increased to 25psi, the volume would be

V = 5550/25 = 222 in³

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MAVERICK [17]
We know derrick walks 145 m/min to get the other we simply divide how far they went in how much time
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8 0
3 years ago
Read 2 more answers
The length of AB is 9 centimeters. A dilation with a scale factor of 2 is applied to AB. What is the length of the image AB afte
OLEGan [10]

Answer:

18cm

Step-by-step explanation:

Given:

- The length of AB is 9 centimeters

- A dilation with a scale factor of 2

The length of the image AB after the dilation is applied:

9 x 2 = 18

dilation is used to make an image or in this case AB, with a scale factor of 2 means that its doubling in size. If the scale factor was 1/2 that it would be decreasing in size since it will be half of the original size

5 0
2 years ago
You collect 140 total pieces of candy trick or treating and 35 of them are m&m's. What fraction of the candy is not m&m'
tekilochka [14]

\frac{3}{4} of the candy is not m&m's.

Step-by-step explanation:

Given,

Total pieces of candy = 140

Number of m&m's = 35

Fraction = \frac{Number\ of\ m&m}{Total\ pieces\ of\ candy}

Fraction = \frac{35}{140}

Both 35 and 140 are multiples of 7, therefore,

Fraction of m&m's = \frac{5}{20} = \frac{1}{4}

As the number of m&m's fraction and not m&m's fraction will make a total of 1, therefore

fraction of m&m's + fraction of not m&m's = 1

fraction of not m&m's = 1 - fraction of m&m's

fraction of not m&m's = 1-\frac{1}{4}=\frac{4-1}{4}

fraction of not m&m's = \frac{3}{4}

\frac{3}{4} of the candy is not m&m's.

Keywords: fraction, subtraction

Learn more about fractions at:

  • brainly.com/question/8929610
  • brainly.com/question/8908016

#LearnwithBrainly

7 0
3 years ago
Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.
Aliun [14]

Answer:

Part 1) c=21.9\ units

Part 2) B=61.1\°

Part 3) A=28.9\°

Part 4) C=90\°

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

c^{2}=a^{2}+b^{2}

substitute the given values

c^{2}=10.6^{2}+19.2^{2}

c^{2}=481

c=21.9\ units

step 2

Fin the measure of angle B

we know that

In the right triangle

tan(B)=b/a

substitute the given values

tan(B)=19.2/10.6

B=arctan(19.2/10.6)=61.1\°

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

so

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

B=61.1\°

C=90\°

substitute

A+61.1\°+90\°=180\°

A=28.9\°

4 0
3 years ago
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