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tia_tia [17]
2 years ago
10

3

Mathematics
1 answer:
Svetllana [295]2 years ago
4 0

Answer:

The formula to find the value of the side is X ^ 3 = 10, and the side measures 2.15 cm.

Step-by-step explanation:

Given that a Rubik's Cube has a volume of 10 cm, to write an equation to find the length of the sides and find the length of the side to the nearest tenth, the following calculations must be performed, knowing that the volume of a cube is obtained to enhance one of its sides to the third:

X ^ 3 = 10

X = 3√ 10

X = 2.15

Thus, the formula to find the value of the side is X ^ 3 = 10, and the side measures 2.15 cm.

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x  f(x)
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3 years ago
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3 years ago
Someone please explain this step by step:
Volgvan

Answer:

  13

Step-by-step explanation:

Perhaps the most straightforward way to find the value of the given function is to first solve the equations for x and y. The results can be substituted into your expression to find the value you want.

__

<h3>solving the system</h3>

We notice the y-coefficients are opposites, so we can eliminate the y-variable by adding the equations.

  (2x -y) +(x +y) = (3) +(1)

  3x = 4 . . . . . . simplify

  x = 4/3 . . . . . divide by 3

The value of y can be found from the second equation:

  4/3 +y = 1 . . . . substitute for x

  y = -1/3 . . . . . . subtract 4/3

<h3>expression value</h3>

The value of 8x-7y is found by substituting the x- and y-values into this expression:

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The value of 8x-7y is 13.

_____

<em>Additional comment</em>

You can also work out what combination of the two equations will give 8x -7y. That turns out to be 5 times the first minus 2 times the second:

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  10x -5y -2x -2y = 15 -2

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__

The coefficients 5 and -2 are found by solving the system of equations ...

  a(2x -y) +b(x +y) ≡ 8x -7y   ⇒   {2a +b = 8, -a +b = -7}

3 0
2 years ago
A potato chip company produces a large number of potato chip bags each day and wants to investigate whether a new packaging mach
alexandr1967 [171]

Answer:

The conditions for the approximation have been met

Step-by-step explanation:

Random samples on both cases  and

p∧o proportion of bags packaged on the old machine that are damaged

p∧n sample proportion of bags packaged on the new machine that are damaged

p∧c  =  ( p∧o + p∧n ) / (nO + nN )  

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Therefore both samples are big enough for the approximation of the binomial distribution to normal distribution

4 0
3 years ago
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