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Mekhanik [1.2K]
3 years ago
13

The air conditioning unit for marcus building has the shape of a cube and has a volume of 0.512 cubic meters.This air conditione

r will be replaced with another cube-shaped unit with a volume of 1 cubic meter. By how much will the edge length of the air conditioner change?
Mathematics
1 answer:
katrin [286]3 years ago
8 0

Answer:

The edge length of the air conditioner changed by 0.2m

Step-by-step explanation:

The volume of a cube is S^3

The edge length of the former unit is cube root of 0.512 which is 0.8 m

The edge length of the new is cube root of 1 which is 1 m

The difference is 1-0.8 = 0.2 m

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kotegsom [21]

Answer: (-9, 16]

This is the interval from -9 to 16. Exclude -9 but include 16.

=====================================================

Work Shown:

The idea is to multiply all sides by 5, then add 1 to all sides

-2 < x \le 3

5(-2) < 5x \le 5(3)

-10 < 5x \le 15

-10+1 < 5x+1 \le 15+1

-9 < 5x+1 \le 16

This converts to the interval notation  (-9, 16]

note: a curved parenthesis means "do not include this value in the solution set"; while a square bracket has us include the value. So we exclude -9 and include 16.

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3 years ago
The statement explains why the ordered pair is a solution to the system of equations. Is the statement true or false? True False
tigry1 [53]

The system of the equation doesn't give the solution at (-3, -6).

<h2>Given to us</h2>
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  • 5x-y =21

<h3>Equation 1,</h3>

-4x+y = 6

solve for y

-4x+y =6\\y= 6+4x

<h3>Equation 2,</h3>

5x-y =21

substitute the value of y in equation 2,

5x-(6+4x) =21\\5x -6 -4x =21\\5x -4x=21+6\\x = 27

Substitute the value of x in equation 2,

5x-y =21\\5(27)-y =21\\135-y = 21\\-y=21-135\\-y = -114\\y=114

We can see that the solution of the two equations is at (27, 114). Also, it can be verified by plotting the line on the graph.

Hence, the system of the equation doesn't give the solution at (-3, -6).

Learn more about system of equations:

brainly.com/question/12895249

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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