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a_sh-v [17]
3 years ago
15

Which expression is equivalent to 10x^6y^12/-5x^-2y^-6? Assume .x=0.y=0.

Mathematics
1 answer:
Rus_ich [418]3 years ago
4 0
For this case we have the following expression:
 (10x ^ 6y ^ 12) / (- 5x ^ -2y ^ -6)
 Rewriting we have:
 (10 / -5) * ((x ^ 6y ^ 12) / (x ^ -2y ^ -6))
 (-2) * ((x ^ 6y ^ 12) / (x ^ -2y ^ -6))
 Then, for power properties:
 (-2) * (x ^ (6 - (- 2)) and ^ (12 - (- 6)))
 (-2) * (x ^ (6 + 2) and ^ (12 + 6))
 (-2) * ((x ^ 8y ^ 8)
 For x = 0, y = 0, we have:
 (-2) * ((0 ^ 8) (0 ^ 8))
 0
 Answer:
 
An expression that is equivalent when x = 0 and y = 0 is:
 
0
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Arada [10]

Step-by-step explanation:

as I don't see any equations or graphs here I can only answer in general :

f(x) is the patent function.

g(x) is the transformed function.

g(x) = -6f(x-7)

the "-" reflects the curve over the x-axis (what was positive is now negative and vice versa).

the factor 6 stretches the curve up and down by the factor 6 (everything is now 6 times larger or smaller).

and the argument "x-7" relates x (for the new function) with "x-7", meaning that now things are happening at x, that were originally happening at x-7, so they happen now "later" (more to the right on the x-axis) than before - hence a shift to the right.

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Find the coordinates of the transformed image when the pre-image is reflected over the line x=2
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A’= (10,1)
B’= (8,1)
C’= (9,5)
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hope this helps!
8 0
3 years ago
How can you add eight 6s together so that the total adds up to 750?
katrin2010 [14]

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4 years ago
Read 2 more answers
The following table shows the probability of rolling the numbers 1 through 7
Marysya12 [62]

Answer:

2.0

Step-by-step explanation:

Couldn't really understnd what you wrote but I'll assume it's the standard deviation of a fair, 7-sided die

The standard deviation is just the square root of the variance (which is just the second moment minus the first moment squared)

The first moment (AKA the average is..)

\frac{1+2+3+4+5+6+7}{7}=4

The second moment is..

\frac{1^2+2^2+3^2+4^2+5^2+6^2+7^2}{7}=20

\sqrt{20-4^2}=2

4 0
3 years ago
Electric charge is distributed over the disk x2 + y2 ≤ 16 so that the charge density at (x, y) is rho(x, y) = 2x + 2y + 2x2 + 2y
professor190 [17]

Answer:

Required total charge is 256\pi coulombs per square meter.

Step-by-step explanation:

Given electric charge is dristributed over the disk,

x^2=y^2\leq 16 so that the charge density at (x,y) is,

\rho (x,y)=2x+2y+2x^2+2y^2

To find total charge on the disk let Q be the total charge and x=r\cos\theta,y=r\sin\theta so that,

Q={\int\int}_Q\rho(x,y) dA                where A is the surface of disk.

=\int_{0}^{2\pi}\int_{0}^{4}(2x+2y+2x^2+2y^2)dA

=\int_{0}^{2\pi}\int_{0}^{4}(2r\cos\theta+2r\sin\theta+2r^2 \cos^{2}\theta+2r^2\sin^2\theta)rdrd\theta

=2\int_{0}^{2\pi}\int_{0}^{4}r^2(\cos\theta+\sin\theta)drd\theta+2\int_{0}^{2\pi}\int_{0}^{4}r^3drd\theta

=\frac{2}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)\Big[r^3\Big]_{0}^{4}d\theta+2\int_{0}^{2\pi}\Big[\frac{r^4}{4}\Big]d\theta

=\frac{128}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)d\theta+128\int_{0}^{2\pi}d\theta

=\frac{128}{3}\Big[\sin\theta-\cos\theta\Big]_{0}^{2\pi}+128\times 2\pi

=\frac{128}{3}\Big[\sin 2\pi-\cos 2\pi-\sin 0+\cos 0\Big]+256\pi

=256\pi

Hence total charge is 256\pi coulombs per square meter.

3 0
3 years ago
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