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3 years ago

2x=10y Determine the constant of proportionality. Assume that y represents all of the outputs and x represents the inputs

Mathematics

1 answer:

Art [367]3 years ago

3 0

Answer:

a = 0.2

Step-by-step explanation:

Let y = ax be a linear equation, where x is the input variable and y is the output variable, then "a" is the proportionality constant between x and y.

To find the proportionality constant of the given equation, we must take it to the form y = ax.

We have:

2x = 10y

We divide both sides of the equation by 10.

0.2x = y

y = 0.2x.

Then the constant of proportionality is:

a = 0.2

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(3x - 2)²

Step-by-step explanation:

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VladimirAG [237]

Answer:

$V = 1218.0375m^{3}$

$A = 342.9m^{2}$

Step-by-step explanation:

Area:

$A =$ π $r^{2}$

$152.4 =$ π $(2x)^{2}$ *Square 2x*

$152.4 =$ π $4x^{2}$ *Divide by π*

$48.510 = 4x^{2}$ *Divide by 4*

$12.128 = x^{2}$ *Square root*

$\sqrt{12.128} = x$ *Solve*

x ≈ 3.482

Now take the same equation but replace 2x with 3x

$A =$ π $r^{2}\\$

Now replace x with 3.482 and solve for area.

$A = 342.9m^{2\\}$

Volume:

$V = \frac{4}{3}$ π $r^{3}$ *Insert variables*

$360.9 = \frac{4}{3}$ π $(2x)^{3}$ *Cube 2x*

$360.9 = \frac{4}{3}$ π $(8x^{3})$ *Multiply $\frac{3}{4}$ on both sides*

$270.675 =$ π $(8x^{3})$ *Divide by π*

$86.159 = 8x^{3}$ *Divide by 8*

$10.770 = x^{3}$ *Cube root*

$\sqrt[3]{10.770} = x$ *Solve*

x ≈ 2.208

Now take the same equation but replace 2x with 3x

$V = \frac{4}{3}$ π $(3x)^{3}$

Now replace x with 2.208 and solve for volume.

$V = 1218.0375m^{3}$

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rusak2 [61]

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the first triangle shows what it’s starting at.

the first transformation is turn 90 degrees clockwise.

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Answer:

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Step-by-step explanation:

This is how I did it.

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