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3 years ago

Solve the following proportion problem for x: 14/3x=20/x-5

Mathematics

2 answers:

makvit [3.9K]3 years ago

6 0

Answer:

Step-by-step explanation:

3x minus x

Butoxors [25]3 years ago

5 0

14 20

---- = ----- cross multiply

3x x-5

14(x-5) = 3x (20)

14x - 70 = 60x

-14x -14x

-70 = 36x

/36 /36

-70/36 = x

-35/18 = x

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Use the divergence theorem to calculate the surface integral s f · ds; that is, calculate the flux of f across s. f(x, y, z) = x

valkas [14]

$\mathbf f(x,y,z)=x^4\,\mathbf i-x^3z^2\,\mathbf j+4xy^2z\,\mathbf k$
$\mathrm{div}(\mathbf f)=\dfrac{\partial(x^4)}{\partial x}+\dfrac{\partial(-x^3z^2)}{\partial y}+\dfrac{\partial(4xy^2z)}{\partial z}=4x^3+0+4xy^2=4x(x^2+y^2)$

Let $\mathcal D$ be the region whose boundary is $\mathcal S$ . Then by the divergence theorem,

$\displaystyle\iint_{\mathcal S}\mathbf f\cdot\mathrm d\mathbf S=\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV$

Convert to cylindrical coordinates, setting

$x=r\cos\theta$
$y=r\sin\theta$

and keeping $z$ as is. Then the volume element becomes

$\mathrm dV=r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz$

and the integral is

$\displaystyle\iiint_{\mathcal D}4x(x^2+y^2)\,\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}\int_{z=0}^{z=r\cos\theta+7}4r\cos\theta\cdot r^2\cdot r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle4\iiint_{\mathcal D}r^4\cos\theta\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\dfrac{2\pi}3$

4 0

3 years ago

The graph of y= f(X) is shown below, what point could be used to find f(3)?

balandron [24]

Answer:

Point A

Step-by-step explanation:

The long that would be used to find f(3) is the point that shows the value of y when x = 3.

Looking at the graph given, the only point that shows the value of y when x = 3 is point A.

When x = 3, y = 0.

Therefore, f(3) = 0.

8 0

3 years ago

The sum of two positive numbers is 16 and their difference is 2 . the larger number is?

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

7 + 9 = 16

9 - 7 = 2

The larger number is 9

Hope that helps!

8 0

2 years ago

Read 2 more answers

Use the diagram to solve for x.

Vanyuwa [196]

Answer:

Step-by-step explanation:

Angle x+45 = (145-55) / 2

2x + 90 = 90

2x = 0

x = 0

5 0

2 years ago

A bag has 4 red balls and 4 balls, what is the probability of getting a red ball randomly.

Mkey [24]

Answer:

1/2

Step-by-step explanation:

4/8 are red. If you simplify that you get 1/2.

8 0

3 years ago