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pashok25 [27]
3 years ago
12

10 POINTS WILL GIVE BRAINLIEST WHEN IT GETS GRADED

Mathematics
2 answers:
wolverine [178]3 years ago
8 0

Answer:

Yes, both are correct

Step-by-step explanation:

Aleonysh [2.5K]3 years ago
3 0

Answer:

The answer to your question is We got the same. I think your work is correct.

Step-by-step explanation:

Data

height = 4x - 5

length = 3x + 1

width = 2x - 3

Formula

Volume of a rectangular prism = height x length x width

-Substitution

Volume = (4x - 5)(3x + 1) (2x - 3)

-Simplification

Volume = (12x² + 4x - 15x - 5)(2x - 3)

Volume = (12x² - 11x - 5)(2x - 3)

Volume = 24x³ - 22x² - 10x - 36x² + 33x + 15

Volume = 24x³ - 58x² + 23x + 15                    

2.- Number of computers    N(t) = 5t + 106

   Price of computers          P(t) = 13t² + 25t + 600

Initial year = 2005

Final year = 2010

Number of years = 2010 - 2005

                            = 5 years

a) Calculate the numbers of computers

       N(5) = 5(5) + 106

               = 25 + 106

               = 131 computers

b) Calculate the price

       P(5) = 13(5)² - 25(5) + 600

               = 13(25) - 125 + 600

               = 325 - 125 + 600

               = $800

c) Calculate the revenue

  Revenue = 131 x $800

                  = $104880

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HELP URGENT PLEASE
ki77a [65]

Answer:

A)

15 hours

B)

108 hours

C)

2074.29 miles

Step-by-step explanation:

Under the assumption the earth is a perfect circle, then in one complete rotation about its axis ( 24 hours) the Earth will cover 360 degrees or 2π radians.

A)

In every 24 hours the earth rotates through 360 degrees ( a complete rotation). We are required to determine the length of time it will take the Earth to rotate through 225 degrees. Let x be the duration it takes the earth to rotate through 225 degrees, then the following proportions hold;

(24/360) = (x/225)

solving for x;

x = (24/360) * 225 = 15 hours

B)

In 24 hours the earth rotates through an angle of 2π radians (a complete rotation) . We are required to determine the length of time it will take the Earth to rotate through 9π radians. Let x be the duration it takes the earth to rotate through 9π radians, then the following proportions hold;

(24/2π radians) = (x/9π radians)

Solving for x;

x = (24/2π radians)*9π radians = 108 hours

C)

If the diameter of the earth is 7920 miles, then in a day or 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle;

circumference = 2*π*R = π*D

                         = 7920*3.142

                         = 24891.43 miles

Therefore a point on the equator covers a distance of 24891.43 miles in 24 hours. This will imply that the speed of the earth is approximately;

(24891.43miles)/(24 hours) = 1037.14 miles/hr

The distance covered by the point in 2 hours will thus be;

1037.14 * 2 = 2074.29 miles

5 0
3 years ago
8 / 3 3/8 as a mixed number in simplest form
sukhopar [10]

Answer:

8/3 as a mixed number would be written as 2 2/3.

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