What is the least number that 1/3 and 3/4 can be divided by

Mathematics

1 answer:

yanalaym [24]3 years ago

8 0

The correct answer is 4

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a musicians hair was originally 3 inches long.She asked her hair dresser to cut 5/6 of it off.How many inches did she have cut o

LenKa [72]

If she cuts 5/6 of 3 off, then she removes 5/6*3=15/6=5/2 inches.

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3 years ago

a product is the answer to x expression or equation a factor number being multiplied is * 1000 to get a product of 9254

maxonik [38]

Answer:

9.254

Step-by-step explanation:

Move the decimal three times (how many zeros of 1000 there is)

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3 years ago

Does this table represent a function? Why or why not

skad [1K]

Answer: D) Yes, because each x value corresponds to exactly one y value

The table doesn't mention x, but usually x is in the left column. Since we don't have any repeated x values here, this means each input goes to exactly one output. So we have a function.

Visually if you plotted all the points, you'll see the graph passes the vertical line test.

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3 years ago

Find the volume of the ellipsoid x^2+y^2+9z^2=64

yuradex [85]

Parameterize the ellipsoid using the augmented spherical coordinates:

$\begin{cases}x=\frac18\rho\cos\theta\sin\varphi\\\\y=\frac18\rho\sin\theta\sin\varphi\\\\z=\frac38\rho\cos\varphi\end{cases}$

Then the Jacobian for the change of coordinates is

$\mathbf J=\dfrac{\partial(x,y,z)}{\partial(\rho,\theta,\varphi)}=\begin{bmatrix}\frac18\cos\theta\sin\varphi&-\frac18\rho\sin\theta\sin\varphi&\frac18\rho\cos\theta\cos\varphi\\\\\frac18\sin\theta\sin\varphi&\frac18\rho\cos\theta\sin\varphi&\frac18\rho\sin\theta\cos\varphi\\\frac38\cos\varphi&0&-\frac38\rho\sin\varphi\end{bmatrix}$

which has determinant

$\det\mathbf J=-\dfrac3{512}\rho^2\sin\varphi$

Then the volume of the ellipsoid is given by

$\displaystyle\iiint_E\mathrm dx\,\mathrm dy\,\mathrm dz=\iiint_E|\det\mathbf J|\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi$

where $E$ denotes the spaced contained by the ellipsoid. In particular, we have the definite integral and volume

$\displaystyle\frac3{512}\int_{\varphi=0}^{\varphi=\pi}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=0}^{\rho=1}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=\dfrac\pi{128}$

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3 years ago

How can I solve h-17=-12

aniked [119]

The quickest, simplest, easiest way is to add 17. to each side of the equation.

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3 years ago

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