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2 years ago

What is the repeating digit of 4/9

Mathematics

2 answers:

Sonja [21]2 years ago

8 0

Its 0.4 and the 4 repeats infinitely :)

Burka [1]2 years ago

6 0

13 and brown and green orange orange

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Evaluate the spherical coordinate integral

expeople1 [14]

Rewrite the equations of the given boundary lines:

y = -x + 1 ==> x + y = 1

y = -x + 4 ==> x + y = 4

y = 2x + 2 ==> -2x + y = 2

y = 2x + 5 ==> -2x + y = 5

This tells us the parallelogram in the x-y plane corresponds to the rectangle in the u-v plane with 1 ≤ u ≤ 4 and 2 ≤ v ≤ 5.

Compute the Jacobian determinant for this change of coordinates:

$J=\begin{bmatrix}\frac{\partial u}{\partial x}&\frac{\partial u}{\partial y}\\\frac{\partial v}{\partial x}&\frac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&1\\-2&1\end{bmatrix}\implies|\det J|=3$

Rewrite the integrand:

$-3x+4y=-3\cdot\dfrac{u-v}3+4\cdot\dfrac{2u+v}3=\dfrac{5u+7v}3$

The integral is then

$\displaystyle\iint_R(-3x+4y)\,\mathrm dx\,\mathrm dy=3\iint_{R'}\frac{5u+7v}3\,\mathrm du\,\mathrm dv=\int_2^5\int_1^45u+7v\,\mathrm du\,\mathrm dv=\boxed{333}$

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3 years ago

The average depth of the ocean is about 3.8 km.width of 7600 km. calculate the ratio depth:width?

Gnoma [55]

A ratio is like a fraction, so since you are provided with the numbers its easy to put it into a ratio
depth is 3.8km
width is 7600km
ratio is 3.8:7600

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3 years ago

I NEED HELP WITH TRIANGLES!!!!

Fittoniya [83]

The length of AC is congruent to WY
d = 10

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3 years ago

What ratio is equal to 7/8

Aneli [31]

21:28 is equal to 7:8

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3 years ago

ILL GIVE YOU BRAINLIST YOU ANSWER THIS PLSSSS NEED THE ANSWER ASAP, AND PLSSS SHOW YOU WORK!

Marat540 [252]

Answer:

x=5

14÷2=7

9÷2=2.5

2.5×2=5

5+9=14

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3 years ago