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3 years ago

The solution of |x - 5| = 12 is -7 or 17. True or false?

Mathematics

2 answers:

professor190 [17]3 years ago

7 0

The answer is True. Hope this helps!! Have a great day!

7nadin3 [17]3 years ago

4 0

Answer:

TRUE

Step-by-step explanation:

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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

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

4 0

3 years ago

3x=6y. i need help to turn that into y-intercept form and find tge y intercept. Help please

evablogger [386]

3x = 6y

to get this into slope-intercept form, you simply need to solve for y. remember that slope-intercept form is y = mx + b, where m is your slope and b is your y-intercept.

3x = 6y ... divide both sides by 6
1/2x = y
y = 1/2x is your equation in slope-intercept form. because no "b" value is present, your intercept will simply be 0.

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3 years ago

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What is 0.82 as a fraction

shepuryov [24]

I am pretty sure it's 82/100.

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3 years ago

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For Exercises 19-28, find the angle measures. Use the diagram of the

andreev551 [17]

Answer:Side lengths: 2cm, 3cm, 4cm ... or you. F5. Angle measures: 30, 60, 90. SE. Isosceles. D6. Angle measures: 20: ... Use the diagram of the ... LJVK and Z KVL are called adjacent angles because they have a common vertex and a common side.

Step-by-step explanation:

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3 years ago

The solution of the following equation as 0.15 ( 10t - 9= 0.75 (4t - 3)

Alenkinab [10]

Answer:

$\huge\boxed{\sf t = 0.6}$

Step-by-step explanation:

$\sf 0.15(10t-9) = 0.75(4t-3)\\\\Resolving \ Parenthesis\\\\1.5t-1.35 = 3t - 2.25\\\\Combining \ like \ terms\\\\-1.35 + 2.25 = 3t-1.5t\\\\0.9 = 1.5t\\\\Dividing \ both \ sides \ by \ 1.5\\\\0.9/1.5 = t\\\\0.6 = t\\\\OR\\\\\bold{t = 0.6}$

Hope this helped!

<h2>~AnonymousHelper1807</h2>

4 0

3 years ago