The temperature T of a given mass of gas varies inversely with its volume V. The temperature of 90 cm^3 of a certain gas is 25°C. What will the temperature of the gas be when it is compressed to a volume of 20 cm^3?
a. 112.5°C
b. 6°C
c. 54°C
d. 120°C

Answers

Answer 1

Answer:

A. 112.5°C

Step-by-step explanation:

Use the inverse variation equation, y = [tex]\frac{k}{x}[/tex]

Replace y with T, and replace x with V:

T = [tex]\frac{k}{V}[/tex]

Plug in 90 as T and 25 as V, then solve for k:

T = [tex]\frac{k}{V}[/tex]

90 = [tex]\frac{k}{25}[/tex]

2250 = k

So, the equation is T = [tex]\frac{2250}{V}[/tex]

Plug in 20 as V and solve for T:

T = [tex]\frac{2250}{V}[/tex]

T = [tex]\frac{2250}{20}[/tex]

T = 112.5

So, the temperature will be A. 112.5°C


Related Questions

Which of the following number patterns uses the rule below

Each number in the pattern is four times the previous number


A.6,24,48,72

B.7,21,63,189

C.5,20,80,320

D.4,20,100,500


DO NOT ANSWER IF YOUR NOT AT ACE LEVEL

Answers

The answer to the question is C. 5,20,80,320

Step-by-step explanation:

5*4=20

20*4=80

80*4=320

A club with 13 members is to choose three​ officers: president,​ vice-president, and​ secretary-treasurer. If each office is to be held by one person and no person can hold more than one​ office, in how many ways can those offices be​ filled?

Answers

Answer:

njj

Step-by-step explanation:

2 or 3 i believe i hope i helped lol

the point slope equation of a line is

Answers

Step-by-step explanation:

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

What is the value of m in the equation {m-án=16, when n = 8?
A 20
B 32
C 44
D 48

Answers

Answer:

32

Step-by-step explanation:

m-án=16, when n = 8

Mía ha comprado un terreno en el emporio de Gamarra.
Si desea destinar la mayor superficie rectangular posible del terreno para colocar su maquinaria, ¿cuánto mide la superficie del terreno que queda disponible para otros ambientes?


Un reto para obtener el Logro destacado:
Mía desea comprar un segundo terreno, esta vez de forma rectangular, cuya área sea de 650 m2 y para ello evalúa las posibles dimensiones que puede tener dicho terreno. Si quiere gastar lo menos posible en cercar el terreno, ¿cuáles deben ser sus dimensiones? (Considera como medida de las dimensiones solo números enteros) (Cercar es rodear un terreno, con una cerca, valla, muro, etc., para delimitarlo.)

Answers

Answer:

mkana

Step-by-step explanation:

A square prism has a height of 16 centimeters and a volume of 784 cubic centimeters. What is the length in centimeters of each side of the square base

Answers

Answer:

7cm

Step-by-step explanation:

Volume of a prism = base area x height

base area = area of a square = length²

784  = length² x 16

divide both sides of the equation by 16

length² = 784/16

length² = 49

find the square root of both sides

length = 7

Two points from the line of best fit can be used to find the slope of the line, which can be used to find the equation of the line. True or false?

Answers

Answer:

The statement is true.

Step-by-step explanation:

Let the two points are (x', y') and (x'', y'').

The equation of line passing through the two  points is

[tex](y - y')=\frac{y''-y'}{x''-x'}\times (x - x')[/tex]

So, it is true to find the equation of line when the two points is given.  

1 of 5
The ratio of boys to girls in a class is 4:3. There are 35 students in the class. How many
students are girls?

Answers

Answer:

15 girls

Step-by-step explanation:

[tex]\frac{4}{3}[/tex]  has 7 per "unit group" 35/7 = 5

so the ratio would be [tex]\frac{20}{15}[/tex]

the question states ratio is [tex]\frac{boys}{girls}[/tex]

thus 20 boys , and 15 girls

A soccer field is 120 yards long and 60 yards wide. How long is the diagonal of the field?

Answers

Answer:

134.16 yards or 134.2 if you round to the nearest tenth

Step-by-step explanation:

Using the formula a^2+b^2=c^2

120^2+60^2=c^2

18000=c^2

the square root of 18000 is around 134.16.

A caterer charges a setup fee of $50, plus $20 per person How much will the caterer charge if 35 people attend the party, and the customer has a coupon for $100 discount off the total?

Answers

They will charge $165 for each person
The answer is 650

20x35= 700

700+50 = 750

750-100= 650

guys please help me i cant solve this logarithmic equation

Answers

Answer:

Step-by-step explanation:

I'll just write log for log base 10.  The important rules about logarithms we need to know are:

[tex] a \log b = \log( b^a) [/tex]

[tex] \log a + \log b = \log( ab) [/tex]

and at the end we'll need something like

[tex]\log a = \log b \implies a=b[/tex]

Suitably armed we can begin,

[tex] \left( 1 + \dfrac{1}{2x} \right) \log 3 + \log 2 = \log (27 - 3^{1/x}) [/tex]

First rule,

[tex] \log 3^{ 1 + 1/2x}  + \log 2 = \log (27 - 3^{1/x}) [/tex]

Second rule,

[tex] \log 2(3^{ 1 + 1/2x})  = \log (27 - 3^{1/x}) [/tex]

Third rule,

[tex] 2(3^{ 1 + 1/2x})  = 27 - 3^{1/x} [/tex]

We can rewrite this to be a quadratic equation in [tex]y=3^{1/2x}[/tex].

[tex]  6 (3^{1/2x})  = 27 -  (3^{1/2x})^2 [/tex]

[tex]y^2 +6y - 27 =0[/tex]

[tex](y - 3)(y+9)=0[/tex]

[tex]y=3 \textrm{ or } y=-9[/tex]

First solution:

[tex]3^{1/2x} = 3 = 3^{1}[/tex]

[tex]1/2x = 1[/tex]

[tex]1=2x[/tex]

[tex]x = 1/2[/tex]

Second solution,

[tex]3^{1/2x} = -9[/tex]

No real powers of 3 will be negative, no solution here.

Answer: x=1/2

Check:  

1 + 1/2x = 2 so the left side is log 2(3²) = log 18

Right side, log(27-3^2) = log 18  √

Solve this equation

2 . B - 19 = -11

Answers

Answer:

B=8

Step-by-step explanation:

you add 19 to both sides of the equation to get B by itself.

[tex]B=-11+19\\B=8[/tex]

answer:

8,

reason

11+8=19

alalalalalalalaalalalalal

20character minimum^

-14=x+12 solve for x

Answers

Answer:

x= -26

Step-by-step explanation:

-14 = x + 12

x = -14-12

x= -26

Answer:

X = -26

Step-by-step explanation:

Move all terms that don't contain  x  to the right side and solve.

In ΔVWX, x = 160 cm, v = 150 cm and ∠W=77°. Find the length of w, to the nearest centimeter.

Answers

Answer:

The length of the third side is approximately 193.14 cm

Step-by-step explanation:

The given dimensions of the sides of triangle ΔVWX are;

X = 160 cm

V = 150 cm

The measure of the included angle, m∠W = 77°

By cosine rule, we have;

w² = v² + x² - 2·v·x·cos(W)

∴ w² = 150² + 160² - 2 × 160 × 150 × cos(77°) ≈ 37,302.35

∴ The length of the third side, w = √37,302.35 ≈ 193.14

The length of the third side, w ≈ 193.14 cm

What are the coordinates of the point that is 2/5
of the way from A(-4,-2) to B(11,-2)?

Answers

Answer:

brainllest f right

a

Step-by-step explanation:

Answer for points
3(3x3)(45x6)(45x7)(56x5)(5x5)x0

Answers

Answer:

0

Step-by-step explanation:

3(3x3)(45x6)(45x7)(56x5)(5x5)x0 =0

The correct answer is 0 because anything X 0 equals 0! I hope this helps!

Cuanto interes ganara lesli si presta 5000 L a pagar en tres años con un interés simple anual de 5%

Answers

Answer:

Amount of simple interest in three year = 750

Step-by-step explanation:

Given:

Amount invested = 5,000

Number of year = 3 year

Rate of interest = 5% Annually

Find:

Amount of simple interest in three year

Computation:

Simple interest = (P){R)(T)

Amount of simple interest in three year = (5,000)(3)(5%)

Amount of simple interest in three year = (5,000)(3)(0.05)

Amount of simple interest in three year = (5,000)(0.15)

Amount of simple interest in three year = 750

A bag contains red and blue marbles, such that the probability of drawing a blue marble is 1/8 An experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome.

Answers

Answer:

Find the volume of this prism.

Answer:

24% or d

Step-by-step explanation:

Please help, the question is in the picture.

Answers

Step-by-step explanation:

answer is first option,,,

Hey can someone help with this? It’s Khan Academy
Aka suffering.
Thanks.
-Tornado

Answers

Answer is B.
3n+3 djjdjdj

Answer:

3n+3

hope it helps

Pls I need help with this

Answers

Answer:

third side = 6

Step-by-step explanation:

third side is hypotenuse as it is opposite to 90 degree

using pythagoras theorem

(perpendicular)^2 + (base)^2 = (hypotense)^2

5^2 + [tex](\sqrt{11})^2[/tex] = hypotenuse^2

25 + 11 = hypotenuse^2

36 = hypotenuse^2

[tex]\sqrt{36}[/tex] = hypotenuse

6 = hypotenuse

determine the equation of the circle graphed below


( help please )

Answers

9514 1404 393

Answer:

  (x +2)^2 +(y -5)^2 = 9

Step-by-step explanation:

The circle shown has a radius of r = 3 and a center at (h, k) = (-2, 5).

The equation of a circle is ...

  (x -h)^2 +(y -k)^2 = r^2

For the given center and radius, the equation is ...

  (x +2)^2 +(y -5)^2 = 9

when a tank is 20% empty, it has 24 more liters of gas that is does when it is 20% full. How many liters of gas could a tank hold if it is full
full answers please no fake answers if answer correctly i will give you brainlist

Answers

Answer:

40 L

Step-by-step explanation:

20% empty is the same as 80%full

.8f = .2f + 24

subtract .2f from both sides

.6f = 24

divide both sides by .6

f = 40

Help please i forgot the options on the last one sorry

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

The x-intercept of the graph is -7. (or (-7, 0). )

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Slope for the line:}}\\\\m = \frac{8-0}{1-(-7)}\\\\m = \frac{8}{8}\\\\\boxed{m = 1}[/tex]

⸻⸻⸻⸻

Option B is a false statement.

⸻⸻⸻⸻

We can tell with the point (-7,0) that the 'x' intercept of the function is -7.

⸻⸻⸻⸻

The line does not pass (7,0), making option C a false statement.

⸻⸻⸻⸻

The line also does not pass (-1, -8), making option D a false statement.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Recall what you know about similarity. If circle B is similar to circle A, what must exist?

Answers

The similarities of two circles is dependent on the radius of circle A and circle B. So the radius of both circles must exist for the circles to be similar.

Given that:

Circles A and B

To prove the similarities of the two circles, the radius of both circles must be known.

Assume the radius of circle A is [tex]r_A[/tex] and the radius of circle B is [tex]r_B[/tex].

The similarity of both circles is proved using:

[tex]r_A = k * r_B[/tex]

or

[tex]r_B = k * r_A[/tex]

where k represents the scale of dilation

Hence, the radius of both circles must exist for the circles to be similar.

Read more about circle similarities at:

https://brainly.com/question/403891

What is the equation for a parabola if the vertex is at (5,4) and goes through the point (3,-8)

Answers

Answer:

[tex]y=-3(x-5)^2+4[/tex]

Step-by-step explanation:

Hi there!

Given the vertex of a parabola and a point, it's easiest to organize the equation in vertex form:

[tex]y=a(x-h)^2+k[/tex] where the vertex is located at [tex](h,k)[/tex] and a is a numerical value

1) Plug the vertex into the equation

[tex]y=a(x-h)^2+k[/tex]

Plug in the vertex (5,4)

[tex]y=a(x-5)^2+4[/tex]

2) Solve for a

[tex]y=a(x-5)^2+4[/tex]

Plug in the given point (3,-8) and solve for a

[tex]-8=a(3-5)^2+4\\-8=a(-2)^2+4\\-8=4a+4[/tex]

Subtract 4 from both sides

[tex]-8-4=4a+4-4\\-12=4a[/tex]

Divide both sides by 4

[tex]\frac{-12}{4} = \frac{4a}{4} \\-3=a[/tex]

Therefore, a=-3. Plug this back into [tex]y=a(x-5)^2+4[/tex]:

[tex]y=-3(x-5)^2+4[/tex]

I hope this helps!

A music store bought a CD set at a cost of​ $20. When the store sold the CD​ set, the percent markup was​ 40%. Find the selling price.

Answers

Answer:

40% markup means the scale price is 1.40 times the cost. 1.40 ($20) = $28

Step-by-step explanation:

multiple the price by 1.40

hopefully this helped :)

Answer:

$28

Step-by-step explanation:

We can split this problem into two parts: the original price of the CD set and the 40% extra. We already know the original price of the CD set, so we just need to find the 40% extra. Let's convert 40% to a decimal instead of a percentage. We can do this by dividing by 100.

40/100 = 0.4.

Next, we multiply 20 by 0.4 to find the extra price:

20 * 0.4 = 8

So, the answer is 20 + 8 = $28

We can skip the step of adding the two items together by saying the CD set sells for 140% the original price. 20 * 1.4 = $28

Hope this answer helps you :)

Have a great day

Mark brainliest

Simplify the expression. (–8.6)0

1
–1
–8.6
0

Answers

Answer:

(-8.6)0

= 0

explanation:

For Circle A, if the measure of BDC=20 and the measure of BDC=4x-12, then what is the value of X??

Answers

4x - 12 = 20
4x = 20 + 12
4x = 32
x = 8

please help me i am in need of serious help or ill flunk :(

Answers

co.op

interest = principle * rate * time in years

8000*0.09*1= 720$

total owed =

principle + interest

8000+720= 8720$

bank

interest = principle * rate * time in years

interest = principle * rate * time in years8000*0.06*1= 480$

principle + interest

8000+480= 8480$

......

6)

Bank A

interest = 1500*2*0.18= 540$

total owed = 1500+540= 2040$

Bank B

compound interest =

1500(1+0.12)^2

compound interest= 1881.6

total owed = 1500+1881.6= 3381.6$

she should choose Bank A less total owed

she'll have to pay the bank 2040$

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