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grandymaker [24]
2 years ago
11

If all the edge lengths of a rectangular prism are multiplied by a scale factor of 2, how does the volume change?

Mathematics
1 answer:
Leni [432]2 years ago
5 0

Answer:

The new volume is 4 times the old volume ♡

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Your answer is incorrect.
Nikolay [14]

Answer:

Using the formula of 4/3pir^3, the answer is

Step-by-step explanation:

1) Divide the diameter by 2

2) Plug into your formula

3) cube root it

4) multiple 4

5) Divide the answer by 3

6) use a calculator to multiple the answer with pi

8 0
3 years ago
What values of x and y satisfy the system of equations {10x+3y=−5−5x−4y=10? (0,−53) (25,−3) (−2,0) (12,−103)
Kitty [74]

Answer:

<em>The solution of the equation </em>

<em>( 0.4 ,-3)</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<u><em>Step(i):</em></u>-

Given system of equations

                                  10 x+3 y = −5 ...(i)

                                 - 5 x - 4 y = 10 ...(ii)

Multiply (i) with '5'

          10 × 5 x +  3×5 y = - 25  

              50 x + 15 y = 25 ...(iii)

Multiply (ii) with '10'

        -5 × 10 x - 4×1 0 y = 100

       - 50 x - 40 y =100 ...(iv)

<u><em>Step(ii)</em></u>:-

Solving (iii) and (iv)

        50 x + 15 y =- 25

     <u>  - 50 x - 40 y =100</u>

                - 25 y = 75

Dividing ' - 25' on both sides, we get

               <em>    y = -3</em>

<em>substitute y = -3 in equation (i) , we get</em>

<em>            </em>  10 x+3 y = −5

             10 x - 9 = - 5

                10 x = -5 + 9

                    x = \frac{4}{10}

                 <em>  x =  0.4  </em>

<u><em>Final answer</em></u>:-

 <em>The solution of the equation   ( 0.4 ,-3)</em>

           

7 0
3 years ago
Use the laws of logarithms and the values given below to evaluate the logarithmic expression.
Sidana [21]

Answer:

c edge

Step-by-step explanation:

6 0
3 years ago
Spaulding is the leading maker for basketballs in the US. Spaulding prides itself on the quality that its basketballs have the r
Vesna [10]

Answer:

0 < 0.05, which means that we reject the null hypothesis, meaning that the air pressure of the balls is different of the target value of 7.9.

Step-by-step explanation:

The air pressure of a particular ball has a target value of 7.9 PSI.

This means that the null hypothesis is:

H_{0}: \mu = 7.9

The alternate hypothesis is:

H_{a}: \mu \neq 7.9

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

The hypothesis tested means that \mu = 7.9

Suppose the basketballs have a normal distribution with a standard deviation of 0.20 PSI.

This means that \sigma = 0.2

When a shipment of basketballs arrive, the consumer takes a sample of 21 from the shipment and measures their PSI to see if it meets the target value, and finds the mean to be 7.3 PSI.

This means that X = 7.3, n = 21

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{7.3 - 7.9}{\frac{0.2}{\sqrt{21}}}

z = -13.74

pvalue:

We are testing that the mean pressure is different than the target value of 7.9, and since the test statistic is negative, the pvalue is 2 multiplied by the pvalue of z = -13.74, which we find looking at the z-table.

z = -13.74 has a pvalue of 0.

2*0 = 0

0 < 0.05, which means that we reject the null hypothesis, meaning that the air pressure of the balls is different of the target value of 7.9.

8 0
2 years ago
10. Solve the equation: h/9= 7.<br> O A. h = 63<br> B.h=-63<br> O C. h = ?19<br> D. h=1211
Elan Coil [88]

h/9=7

Multiply by 9 for both sides.

h/9( 9)=7(9)

Cross out 9 and 9, divide by 9 then becomes h

h=63

Answer:  A. h = 63

3 0
2 years ago
Read 2 more answers
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