The volume of a gas in a container varies inversely with the pressure on the gas. If a gas has a volume of 180 cubic inches under a pressure of 5 pounds per square inch, what will be its volume if the pressure is increased to 9 pounds per square inch?

Answer:

(-2, - 11)

Step-by-step explanation:

Coordinate of preimage = (4, - 3)

Pre image is translated <-6,-8>

X - coordinate of preimage = 4

Translation, x coordinate + (-6)

Y - coordinate of preimage = - 3

Translation, x coordinate + (-8)

Image will be located at (4+(-6) ; - 3+(-8))

Hence, we have (-2, - 11)

9514 1404 393

Answer:

  10, (x+4), (x -1)

Step-by-step explanation:

The given volume expression can be factored as ...

  V = 10x² +30x -40

  = 10(x² +3x -4)

  = 10(x +4)(x -1)

The expressions representing length, width, and height might be ...

  10, (x+4), (x -1)

Answer:

192 is the answer

Step-by-step explanation:

Answer:

SA = 272 sq in

Step-by-step explanation:

SA = 2(8 x 2) + 2(8 x 12) + 2(2 x 12)

= 2(16) + 2(96) + 2(24)

= 32 + 192 + 48

= 272 sq in

Answer:

The value of [tex]y[/tex] when the value of [tex]x[/tex] is multiplied by [tex]\frac{1}{2}[/tex] is [tex]\frac{5}{8}[/tex].

Step-by-step explanation:

According to the statement, we have the following relationship:

[tex]y = k\cdot x^{3}[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]k[/tex] - Proportionality constant.

We can eliminate the proportionality constant by constructing the following relationship:

[tex]\frac{y_{2}}{y_{1}} = \left(\frac{x_{2}}{x_{1}} \right)^{3}[/tex]

If we know that [tex]y_{1} = y[/tex], [tex]y_{2} = 5[/tex], [tex]x_{2} = x_{o}[/tex] and [tex]x_{1} = \frac{1}{2}\cdot x_{o}[/tex], then the value of [tex]y[/tex] when the value of [tex]x[/tex] is multiplied by [tex]\frac{1}{2}[/tex] is:

[tex]\frac{5}{y} = \left(\frac{x_{o}}{\frac{1}{2}\cdot x_{o} } \right)^{3}[/tex]

[tex]\frac{5}{y} = 8[/tex]

[tex]y = \frac{5}{8}[/tex]

The value of [tex]y[/tex] when the value of [tex]x[/tex] is multiplied by [tex]\frac{1}{2}[/tex] is [tex]\frac{5}{8}[/tex].

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]_____ x 14.32 = 554.76[/tex]

Let's take '____' as x

[tex]x \times 14.32 = 554.76 \\ x = \frac{554.76}{14.32} \\ x = \frac{554.76 \times 100}{14.32 \times 100} \\ x = \frac{55476}{1432} \\ x = 38.74[/tex]

⎆ The answer of ____ x 14.32 = 554.76 in 2 decimal places will be ⇻38.74

NOTE:

We multiplied the fraction × 100 to remove the decimal points so that it'll be easier to calculate.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

I would choose D

Step-by-step explanation:

im sorry if im wrong :( im not good at math..

Answer:

A-false  B-true  C-false  D-false

Step-by-step explanation:

We just have to calculate a lot!

A.

100*10%=10

10+150=160

NOPE

B

1100*10%=110

110+150=260

YUP

C

4200*10%=420

420+150=570

NOPE

D

16000*10%=1600

1600+150=1750

NOPE

Answer:

%50

Step-by-step explanation:

Answer:

[tex]\frac{1}{2}[/tex], 50%, or 0.5.

Step-by-step explanation:

Well, there are six possible outcomes, and we are looking for the probability of getting a number greater than three. There are three possible outcomes of getting a number greater than three, which makes the probability of getting the desired outcome look somewhat like the following fraction:

[tex]\frac{3}{6}[/tex] (or simplified, [tex]\frac{1}{2}[/tex])

Anyways, now that we have the outcome in the form of a fraction, we can convert it to percent (50%) or decimal form (0.5).

Hope this wasn't too complicated! Feel free to let me know in the comments if you want me to elaborate. ^-^

Answer:

20.7 I hope this is right good luck

Given:

A parallelogram with base c, height h and other side a.

[tex]a=55.83[/tex] yds

[tex]c=100[/tex] yds

[tex]h=52[/tex] yds

To find:

The area of the parallelogram.

Solution:

The area of a parallelogram is:

[tex]A=base\times height[/tex]

In the given parallelogram, the base is [tex]c=100[/tex] yds and the height is [tex]h=52[/tex] yds. So, the area of the parallelogram is:

[tex]A=100\times 52[/tex]

[tex]A=5200[/tex]

Therefore, the area of the parallelogram is 5200 square yds . hence the correct option is A.

Answer:

The probability is that he hits 5.6 out of 7 attempts.

Step-by-step explanation:

Given that an archer hits his target 80% of the time, if he shoots 7 arrows, to determine what is the probability of each event, the following calculation must be performed:

7 x 80/100 = X

560/100 = X

5.6 = X

Therefore, the probability is that he hits 5.6 out of 7 attempts.

Answer: A≈527.79m²

Step-by-step explanation:

HOPE THIS HELPS

Answer:

The nth term is 27 - 30(n-1) or can be simplified to 57 - 30n.

Step-by-step explanation:

This is an arithmetic sequence (ie. each term equals the previous term with a constant value added (or subtracted from it)

T1 = 27

T2 = -3 = T1 - 30 = 27 - 30

T3 = -33 = T2 -30 = 27 -30 - 30=27-30X(2)

T4= -63 = T3 - 30 =27-30X(2)-30=27-30X(3)

In general, the nth term of this sequence:

S(n) = 27 - 30X(n-1)

Answer:

7: 2/11

8: 4/11

9: 5/11

10: 6/11

11: 9/11

12: 7/11

Answer: 75.4 =

 70  

+ 5  

+   0.4

Step-by-step explanation:

Hope this helps :)

Answer:

43.98

Step-by-step explanation:

i was doing a problem like that on my math paper as well

Answer:

[tex]x^2+2x+1[/tex]

Step-by-step explanation:

When given the following trinomial,

[tex](x+1)(x+1)[/tex]

Distribute, multiply every term in one of the parenthesis by every term in the other,

[tex](x)(x)+(1)(x)+(1)(x)+(1)(1)[/tex]

Simplify,

[tex]x^2+x+x+1[/tex]

Combine like terms

[tex]x^2+2x+1[/tex]

Answer:

Step-by-step explanation:

Use Foil

f: x * x = x^2

o: x * 1 = x

i: x * 1 = x

l: 1 * 1

x^2 + x + x + 1

x^2 + 2x + 1

Answer:

The p-value of the test is 0.0416 < 0.05, which means that the null hypothesis is rejected.

Step-by-step explanation:

The engineer designed the valve such that it would produce a mean pressure of 5.7 pounds/square inch. It is believed that the valve performs above the specifications.

At the null hypothesis, we test that the mean is the specification value of 5.7, that is:

[tex]H_0: \mu = 5.7[/tex]

At the alternate hypothesis, we test that the mean is above the specifications, that is, above 5.7. So:

[tex]H_a: \mu > 5.7[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

5.7 is tested at the null hypothesis:

This means that [tex]\mu = 5.7[/tex]

The valve was tested on 8 engines and the mean pressure was 6.2 pounds/square inch with a variance of 0.49.

This means that [tex]n = 8, X = 6.2, s = \sqrt{0.49} = 0.7[/tex]

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{6.2 - 5.7}{\frac{0.7}{\sqrt{8}}}[/tex]

[tex]t = 2.02[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 6.2, which is the p-value of t = 2.02, using a right-tailed test with 8 - 1 = 7 degrees of freedom.

With the help of a calculator, this p-value is 0.0416.

The p-value of the test is 0.0416 < 0.05, which means that the null hypothesis is rejected.

Answer:

B. Not a function

Step-by-step explanation:

Answer:

1. 6

2. 6

3. 10

4. 600

Step-by-step explanation:

edg :)

The complete table is given below.

x          f(x)            g(x)           h(x)

 1          2                3               6

2          4                6              24

5         10               15             150

10        20              30            600

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), and a ratio of 2 to 3. The area of the deck is represented by the function h(x).

The functions are given below.

f(x) = 2x

g(x) = 3x

h(x) = f(x) × g(x) = 6x²

Complete the table with the missing side lengths and areas of the deck.

x          f(x)            g(x)           h(x)

 1          2                3               6

2          4                6              24

5         10               15             150

10        20              30            600

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Answer:

it is 6 x 8

Step-by-step explanation:

100%

The dimensions, in inches, of the original photo are 6 x 8.

We have given that,

Point Q is the center of dilation.

Rectangle H I J K is dilated to create rectangle H prime I prime J prime K prime.

The length of H prime I prime is 32 inches. The length of I prime J prime is 24 inches.

Sylvia enlarged a photo to make a 24 x 32-inch poster using the dilation DQ,4.

We have to determine the dimensions, in inches, of

the original photo 3 × 8 6 × 8 12 × 16 18 × 24

Dimensions in mathematics are the measure of the size or distance of an object or region of space in one direction.

The dimensions, in inches, of the original photo is 6 x 8.

To learn more about the dimension visit:

https://brainly.com/question/26740257

#SPJ5

Answer:

Step-by-step explanation:

for a lot of math classes they just tell you  "don't take the square root of a negative number"   Then when you see this   [tex]\sqrt{-5}[/tex]  it looks all wrong.  But,  just think of the two things under the radical as

[tex]\sqrt{-1*5}[/tex]

now, take the  -1 out of the square root as   "  i  "

i[tex]\sqrt{5}[/tex]

and if you want to put it into correct complex form

0 + i[tex]\sqrt{5}[/tex]

Answer:

D. f(x)=x^2​

Step-by-step explanation:

Answer:

what kind of air

Step-by-step explanation:

Answer:

These are the answers :) If you have any questions feel free to ask!

1. (1,3)

2. (6,6)

3. (-1,-2)

4. (6,3)

Answer: D. 0.658

Step-by-step explanation:

A randomly selected student would be from either of the high schools so both high schools need to be taken into account.

The probability that a randomly selected student is satisfied with his or her school's variety of extracurricular activities can be calculated as:

= Number of students from both high schools that are satisfied / Total number of students in both high schools

= 79 / 120

= 0.658