3 years ago

Does the equation represent a direct variation? If so, find the constant of variation.

Mathematics

1 answer:

aksik [14]3 years ago

4 0

I'm not 100 percent sure but I don't think it has a direct variant.

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It says only 20 points so I'm not helping

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2 years ago

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billiards company is designing limited-edition billiard balls covered in 24-carat gold foil. The company needs to calculate how

kondor19780726 [428]

Answer: The surface area of the ball is 15.90 in².

Step-by-step explanation:

1. The ball is spherical, therefore to calculate its surface area, you must apply the formula for calculate the surface area of a sphere, which is:

$SA=4r^{2}\pi$

2. You can calculate the radius ( $r$ ) with the diameter given in the problem, as following:

$r=\frac{2.25in}{2}\\r=1.125in$

3. Substitute this value into the formula. Then, you obtain that the result is:

$SA=4(1.125)^{2}\pi\\SA=15.90in^{2}$

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3 years ago

Use the given transformation to evaluate the integral. 9 x − 3y 2x − y dA, R where R is the parallelogram enclosed by the lines

hichkok12 [17]

$\displaystyle\iint_R(9x-3y)(2x-y)\,\mathrm dA$

$\begin{cases}u=x-3y\\v=2x-y\end{cases}\implies\begin{cases}x=\frac{3v-u}5\\y=\frac{v-2u}5\end{cases}\implies\mathrm dA=|\det J|\,\mathrm du\,\mathrm dv$

where $J$ is the Jacobian matrix for the transformation,

$J=\begin{bmatrix}u_x&u_y\\v_x&v_y\end{bmatrix}=\begin{bmatrix}-\dfrac15&\dfrac35\\\\-\dfrac25&\dfrac15\end{bmatrix}\implies|\det J|=\dfrac15$

We have

$9x-3y=8x+x-3y=\dfrac85(3v-u)+u=\dfrac{24v-3u}5$

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$\displaystyle\frac1{25}\int_9^{10}\int_0^{10}(24v-3u)v\,\mathrm du\,\mathrm dv=\boxed{\frac{4051}5}$

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3 years ago

. Kelton made punch for a school dance. He used 2 gallons of apple juice and 3 bottles of ginger ale to make enough to fill two

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Answer:5

Step-by-step explanation:

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2 years ago

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Answer:

First one is not possible

Second one is possible, and would be an isocèles triangle

Third one is possible, would be scalene

Last one is not possible

Comment any further questions :)

Step-by-step explanation:

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2 years ago