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3 years ago

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Mrs. Barlow's math class took a test yesterday. Out of 70 students, 70% of them passed. How many of Mrs. Barlow's students passe

d the test?
A. 49
B. 5
C. 21
D. 2

1 answer:

postnew [5]3 years ago

5 0

The answer is A . 49

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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

ANSWER THIS URGENTLY

neonofarm [45]

I think B if not type 1/3 pi 6 squared and add 6.71 or something with the 6.71

8 0

2 years ago

Gilda drove 650miles at an average speed of 50 miles per hour.how many miles per hour faster would she have had to drive in orde

zzz [600]

T=650mi(hr/50mi)=13 hr

t-1=12 hr

12=650/(50+v) multiply both sides by 50+v

600+12v=650 subtract 600 from both sides

12v=50 divide both sides by 12

v=25/6 mph

v≈4.17mph

6 0

2 years ago

The distance between two villages is 0.625 km. Find the length in centimetres between the two villages on a map with a scale of

seropon [69]

Answer:

3125 cm

Step-by-step explanation:

The distance between two villages is 0.625 km. Find the length in centimetres between the two villages on a map with a scale of 1:5000.

We are given the scale of

1: 5000

This means

1 km = 5000 cm

Hence:

1 km = 5000cm

0.625 km = x cm

Cross Multiply

x cm = 0.625 × 5000 cm

x cm = 3125 cm

Therefore, the length in centimetres between the two villages is 3125cm

5 0

2 years ago

6b x 3 =<br><br> PLEAS HELP ME

MArishka [77]

18 bytes looked it up online lol

4 0

2 years ago