2 years ago

Manny plans to save 1/14 of his salary each week. If his weekly salary is $378, find the amount he will save each week.

Mathematics

1 answer:

densk [106]2 years ago

6 0

Answer:

Step-by-step explanation:

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Show work for 5.3÷38.16

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2 years ago

Identify the coefficient in the expression x + 4.<br> A x<br> B 1<br> C 0<br> D 4

Hunter-Best [27]

Answer:

Step-by-step explanation:

The coefficient is the number in front of the variable. Since there is not a number written, there is an implied 1

x+4

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Find the Probability of pulling a green marble from a bag with six green and eight blue marbles.

jeka57 [31]

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3 years ago

Read 2 more answers

Use spherical coordinates. evaluate (9 − x2 − y2) dv, where h is the solid hemisphere x2 + y2 + z2 ≤ 4, z ≥ 0.

avanturin [10]

In spherical coordinates, we have

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

which gives volume element

$\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta$

and so the triple integral is given by

$\displaystyle\iiint_H(9-x^2-y^2)\,\mathrm dV$
$=\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{\varphi=0}^{\varphi=\pi/2}\int_{\rho=0}^{\rho=2}(9-\rho^2\sin^2\varphi)\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta$
$=\displaystyle2\pi\int_{\varphi=0}^{\varphi=\pi/2}\int_{\rho=0}^{\rho=2}(9\rho^2\sin\varphi-\rho^4\sin^3\varphi)\,\mathrm d\rho\,\mathrm d\varphi$
$=\dfrac{592\pi}{15}$

4 0

3 years ago