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3 years ago

What is 5/6(6x-12)+14x=

Mathematics

2 answers:

laila [671]3 years ago

5 0

Answer:

Dvfgghytjyjt

Step-by-step explanation:

MArishka [77]3 years ago

5 0

5/6 * (6x - 12) + 14x =

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Use stoke's theorem to evaluate∬m(∇×f)⋅ds where m is the hemisphere x^2+y^2+z^2=9, x≥0, with the normal in the direction of the

ludmilkaskok [199]

By Stokes' theorem,

$\displaystyle\int_{\partial\mathcal M}\mathbf f\cdot\mathrm d\mathbf r=\iint_{\mathcal M}\nabla\times\mathbf f\cdot\mathrm d\mathbf S$

where $\mathcal C$ is the circular boundary of the hemisphere $\mathcal M$ in the $y$ - $z$ plane. We can parameterize the boundary via the "standard" choice of polar coordinates, setting

$\mathbf r(t)=\langle 0,3\cos t,3\sin t\rangle$

where $0\le t\le2\pi$ . Then the line integral is

$\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=\int_{t=0}^{t=2\pi}\mathbf f(x(t),y(t),z(t))\cdot\dfrac{\mathrm d}{\mathrm dt}\langle x(t),y(t),z(t)\rangle\,\mathrm dt$
$=\displaystyle\int_0^{2\pi}\langle0,0,3\cos t\rangle\cdot\langle0,-3\sin t,3\cos t\rangle\,\mathrm dt=9\int_0^{2\pi}\cos^2t\,\mathrm dt=9\pi$

We can check this result by evaluating the equivalent surface integral. We have

$\nabla\times\mathbf f=\langle1,0,0\rangle$

and we can parameterize $\mathcal M$ by

$\mathbf s(u,v)=\langle3\cos v,3\cos u\sin v,3\sin u\sin v\rangle$

so that

$\mathrm d\mathbf S=(\mathbf s_v\times\mathbf s_u)\,\mathrm du\,\mathrm dv=\langle9\cos v\sin v,9\cos u\sin^2v,9\sin u\sin^2v\rangle\,\mathrm du\,\mathrm dv$

where $0\le v\le\dfrac\pi2$ and $0\le u\le2\pi$ . Then,

$\displaystyle\iint_{\mathcal M}\nabla\times\mathbf f\cdot\mathrm d\mathbf S=\int_{v=0}^{v=\pi/2}\int_{u=0}^{u=2\pi}9\cos v\sin v\,\mathrm du\,\mathrm dv=9\pi$

as expected.

7 0

3 years ago

In a chess match, a win counts as 1 point, a draw counts as 0.5 point, and a loss counts as 0 points. After 21 games between the

iris [78.8K]

Answer:

The Answer is 14.5

Step-by-step explanation:

4 0

4 years ago

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Mario invested $6000 in an account

Mariulka [41]

Answer:

then you take that6000 hdhdhdjeuej

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3 years ago

The city of Raleigh has 11700 registered voters. There are two candidates for city council in an upcoming election: Brown and Fe

Vesnalui [34]

Answer:

The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.

The expected numbers of voters who would vote for Brown is 3604.

Step-by-step explanation:

The sample statistic is a numerical quantity used to represent a characteristic of a sample. For example, sample mean is a sample statistic representing the average of the sample. Or, sample proportion is a sample statistic representing the proportion of a particular variable in the sample. Or sample variance is a sample statistic representing the variance of the sample.

The sample statistic can be used to estimate the population parameter.

They are known as the point estimate of the parameter.

The sample proportion of a variable X is given by:

$\hat p=\frac{X}{n}$

It is provided that of the n = 250 registered voters selected, the number of voters who said they would vote for Brown is X = 77.

Compute the sample statistic for the proportion of voters surveyed who said they'd vote for Brown as follows:

$\hat p=\frac{X}{n}$

$=\frac{77}{250}\\$

$=0.308$

Thus, the sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.

Compute the expected number of people of the 11700 registered voters who would vote for Brown as follows:

$E(X)=N\times \hat p$

$=11700\times 0.308\\=3603.6\\\approx 3604$

Thus, the expected numbers of voters who would vote for Brown is 3604.

6 0

3 years ago

Can anyone help me?! Will give 20 points and brainiest!

Aleonysh [2.5K]

8)
3x + 2 = 4x - 3
4x - 3x = 2 +3
x = 5

2y +7 = 4y - 9
4y - 2y = 7+9
2y = 16
y = 2

9)

2x - 2 = x + 2
2x - x = 2+2
x =4

5y - 8 = y+24
5y - y = 24 +8
4y = 32
y = 8

3 0

4 years ago

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