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3 years ago

How to find length of the side of a cube with the given volume? ( square root and cube root)

Mathematics

1 answer:

romanna [79]3 years ago

3 0

The cube root of the volume of a cube should give you the length of one side

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2x^2-3x=0 helppppppppppp with steps pls

trapecia [35]

Answer:

x=0, x=3/2

Step-by-step explanation:

2x^2-3x=0

Factor out an x

x(2x-3) =0

Using the zero product property

x = 0 2x-3 =0

Add 3 to each side

2x-3+3 =0+3

2x =3

divide each side by 2

2x/2 = 3/2

x=3/2

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3 years ago

I could use some help with theses questions

Effectus [21]

1 is D, but that is the only one I know, sorry. I hope this helps! :)

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4 years ago

Read 2 more answers

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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4 years ago

What is the volume of the following rectangular prism pls help me I’m being timed

alina1380 [7]

Answer:

ummmmm I guess I could add the dimensions in the text.

Step-by-step explanation:

The picture is a black screen.

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3 years ago

For the expression, which of the following is the coefficient of the term involving the variable x^3/2 + 4y + 5z²

GarryVolchara [31]

Answer:

Step-by-step explanation:

A coefficient is any number that comes before a variable and is multiplies that variable.

In the equation given, the term involving the variable x is x³/2. Therefore, the coefficient of x³/2 would be ½.

i.e. ½ × x³

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3 years ago