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zzz [600]
3 years ago
9

Simplify (6x^-2)^2(0.5x)^4 show work please

Mathematics
2 answers:
tester [92]3 years ago
4 0
(6x^-2)^2(0.5x)^4 = (6^2)(x^-2(2))(1/2)^4(x^4) = 36x^-4(1/16x^4) = (36/16)x^(-4+4) = 9/4
Darina [25.2K]3 years ago
3 0

Answer:

(6x^{-2})^2(0.5x)^4=\frac{9}{4}

Step-by-step explanation:

The given equation is:

(6x^{-2})^2(0.5x)^4

Simplifying the above given equation, we get

=(36x^{-4})(\frac{1}{2}x)^4

=36x^{-4}(\frac{1}{16})x^4

=\frac{36}{16}x^{-4+4}

=\frac{36}{16}

=\frac{9}{4}

Thus, (6x^{-2})^2(0.5x)^4=\frac{9}{4}

which is the requires simplified form.

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I don't get the answer
Goshia [24]
A' is (-12, 6)
B' is (0,6)
C' is (3, -3)
D' is (-9, -3)

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7 0
4 years ago
Find the equation of the line that is perpendicular to y=1/3x-3 and passes through the point (3,-2)
sveta [45]

Answer:

y = -3x + 7

Step-by-step explanation:

Using the equation of line

y = mx + C

y - y_1 = m(x - x_1)

First find the slope

With eqn y = 1/3x - 3

Note, if two lines are perpendicular, their slope will be negative reciprocal

slope = m = -3/1

Using y - y_1 = m(x - x_1)

With point ( 3, -2)

x_1 = 3

y_1 = -2

y - (-2) = -3/1(x - 3)

y + 2 = -3/1(x -3)

Open bracket

y + 2 = -3(x - 3)/1

y + 2 = (-3x +9)/1

y = (-3x + 9 )/1 - 2

LCM is 1

y = -3x + 9 - 2

y = -3x + 7

The equation of the line is

y = -3x + 7

5 0
3 years ago
3/5 of a number is 30. What's the number?
777dan777 [17]

To figure out the number we need to set up our equation to make more sense.

<u>3/5 = 30/x</u>      (x is our missing number)

We know that what ever you do to the top of the fraction you can do to the bottom.

So if we multiply 3 x 10 we get 30.

Therefore to get the number we must multiply 5 by 10

5 x 10 = 50

So our answer and missing number is 50

5 0
3 years ago
Read 2 more answers
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Slav-nsk [51]
Using the remainder theorem, evaluating the function for k will be the same value as the remainder.
8(4^4) + 7(4^3) + 5(4^2) -5(4) + 35 =
2048 + 448 + 80 + - 20 + 35 =
2591
6 0
3 years ago
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297, 252, 207, 162, ?
mash [69]
<span>297, 252, 207, 162, 117 , 72 , 27

hope it helps</span>
8 0
4 years ago
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