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Nat2105 [25]
3 years ago
5

Determine the constant of varlation for the direct variation glven. Rvaries directly with S. When S is 16, R Is 80.​

Mathematics
1 answer:
navik [9.2K]3 years ago
4 0

Answer:

The constant of variation is 5.

Step-by-step explanation:

In direct variation, as y varies directly with x, the standard equation is

y = kx,

where k is the constant of variation.

In your case, we use R and S. R varies directly with S, so we have

R = kS

We know that when S = 16, R is 80, so we plug in those values and solve for k, the constant of variation.

R = kS

80 = k(16)

k = 80/16

k = 5

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Divide. 413÷129 Enter your answer, as a mixed number in simplest form, in the box.
kompoz [17]

For this case we must divide the following expression:

\frac {413} {129}

The expression can not be simplified. When dividing we have that its decimal form is given by:

3,201550

If we convert to a mixed number we have:

3 \frac {26} {129}

Verifying:

3 \frac {26} {129} = \frac {129 * 3 + 26} {129} = \frac {413} {129}

Answer:

3 \frac {26} {129}

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Step-by-step explanation:

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Use integration by parts to find the integrals in Exercise.<br> ∫(4x-12)e-8x dx.
stepladder [879]

Answer:

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Step-by-step explanation:

We have been given an indefinite integral as \int \left(4x-12\right)e-8x\:dx. We are asked to find the given integral.

Let us solve our given problem.

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