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Reptile [31]
2 years ago
8

How do you calculate the minimised dimensions: length width and height of a rectangular prism with the given volume of 10m^3?

Mathematics
1 answer:
Elan Coil [88]2 years ago
3 0

The length, width and height of the rectangular prism is ∛10

<h3>How to determine the dimensions?</h3>

The volume is given as:

Volume, V = 10m^3

For a minimised volume, we have:

Length = Width = Height

This means that:

V = L^3

So, we have:

L^3 = 10

Take the cube root of both sides

L = ∛10

Hence, the length, width and height of the rectangular prism is ∛10

Read more about volume at:

brainly.com/question/1972490

#SPJ1

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slega [8]

Answer:

all you do is add

Step-by-step explanation:

8 0
3 years ago
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PLEASE ANSWER ASAP
NemiM [27]

The height of the softball when it travels 12 feet using the quadratic regression model is 5.53 foot.

<h3>What is the correlation coefficient?</h3>

Correlation coefficient is used to calculate how strong the relationship is between the two variables.

When there is a statistical relationship between two or more variables, then they are said to be in correlation.

The table represents the distance and height for softball travels after being hit by the batter.

  •           Distance x (ft)              Height y (ft)
  •               0                                  5
  •               2                                  25
  •               4                                  37
  •               6                                  42
  •               8                                  34
  •              10                                  26
  • Mean     5                                   28.167    

The mean of the data of distance is 5 and the mean of the data of height is 28.167. The correlation coefficient is 0.9938.

The quadratic regression model for this model is given as,

y=5.29+11.78x-0.98x^2

At the 12 feet, the value of height y is,

y=5.29+11.78(12)-0.98(12)^2\\y=5.53

Hence, the height of the softball when it travels 12 feet using the quadratic regression model is 5.53 foot.

Learn more about the correlation coefficient here;

brainly.com/question/4219149

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3 0
1 year ago
Suppose you and your friends form a band and you want to record a demo. Studio A rents for $75 plus $75 an hour and Studio B
Ganezh [65]

Answer:

Step-by-step explanation:

Studio A rents for $75 plus $75 an hour .

Studio B rents for $150 and $50 an hour.

Let t = the number of hours and c = cost.

Part A

Write a system of equations to represent the cost at each studio.

Studio A: c = 75 +75·t

Studio B: c = 150 +50·t

Part B

Solve the system of equations from Part A. Explain your method.

We solve the system of equation using substitution method, where we substitute c in the first equation with 150 +50t.

150 +50·t = 75 +75·t, subtract 75 and 50t from both sides

   150 -75 = 75t -50t, combine likes terms

           75 = 25t, divide both sides by 25

             3 = t

Now we know that t = 3 so we find c by substituting t with 3 in the second equation.

c = 150 +50·t

c = 150 +50·3

c = 300

The solution of the system of equations is c = 300 and t = 3

Part C

Explain what the solution to the system means in terms of where your band will rent a studio.

The solution of the system of equation tells us that if we rent either studio A or B for 3 hours will pay the same price $300.

The price will be different if we rent studio A then studio B if we rent it for a different amount of time than 3 hours.

7 0
1 year ago
If Dandelion the cat runs 35 feet in 0.8 seconds, what is the speed at which she is running?(1 point)
zysi [14]

Answer:

43.75

Step-by-step explanation:

It you want to find the speed of the cat, all you have to do is divide 35 by 0.8.

3 0
3 years ago
What is the value of x in simplest radical form
Stella [2.4K]

Answer:

42

Step-by-step explanation:

3 0
3 years ago
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