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hammer [34]
3 years ago
15

Instructions:Simplify.Your answer should contain only positive exponents.

Mathematics
2 answers:
Trava [24]3 years ago
8 0

11) Answer: -\frac{x^{14}}{y^{13}}

\frac{2xy^{-4}}{\left(x^{-4}y^4\right)^3\left(-2\right)x^{-1}y^{-3}}

=\frac{2xy^{-4}}{-\left(x^{-4}y^4\right)^3\cdot \:2x^{-1}y^{-3}}

=\frac{xy^{-4}}{-\left(x^{-4}y^4\right)^3x^{-1}y^{-3}}

=\frac{x^2y^{-4}}{-\left(x^{-4}y^4\right)^3y^{-3}}

=\frac{x^2}{-\left(x^{-4}y^4\right)^3y}

=-\frac{x^{14}}{y^{13}}

12) Answer: -\frac{1}{u^5v^5}

\left(\frac{2u^4v^0}{-u^{-2}v^{-1}\cdot \:2uv^{-4}}\right)^{-1}

=\frac{1}{\frac{2u^4v^0}{-u^{-2}v^{-1}\cdot \:2uv^{-4}}}

=-\frac{1}{u^5v^5}

dlinn [17]3 years ago
7 0

Answer:

hope it helps i am not sure this is write but i tried

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OleMash [197]

Answer:

The volume of the cone is 26\ cm^{3}

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

V=\pi r^{2}h

In this problem we have that

V=78\ cm^{3}

so

78=\pi r^{2}h -----> equation A

The volume of a cone with the same radius and height is equal to

V=\frac{1}{3}(\pi r^{2}h) -----> equation B

Substitute equation A in equation B

V=\frac{1}{3}(78)

V=26\ cm^{3}

6 0
4 years ago
El productor del números es 28. Sabiendo que el primer número es 3 unidades menor que el segundo, calcula los dos número
Rasek [7]

Answer:

Tienes 3 números, "x", "y", "z"

=> El primero es 20 unidades menor que el segundo:

El primero es "x", y el segundo es "y", entonces:

x = y - 20

=> El tercero es igual a la suma de los dos primeros:

El tercero es "z", entonces:

z = x + y

z = (y - 20) + y

z =  2y - 20

=> Entre los tres suman 120

x + y + z = 120

y - 20 + y + 2y - 20 = 120

4y - 40 = 120

4y = 160

y = 40

Si y = 40, entonces:

x = y - 20

x = 20

Además, z = 2y - 20

z= 60

RPTA:

x=20

y=40

z=60

Step-by-step explanation:

8 0
4 years ago
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Mumz [18]

The function notation form of the given equation; y = -3x +3 as in the task content is; f(x) = -3(x) +3.

<h3>What is the function notation form of the equation?</h3>

According to the task content, the equation given; y = -3x +3 is to be written in function notation.

Consequently, since the function expression given is linear in variable X, it follows that the required function notation is;

f(x) = -3x +3.

Read more on function notation;

brainly.com/question/25638609

#SPJ1

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2 years ago
The length of a rectangle exceeds its width by 7 inches and the area is 30 inches what are the length and width of the rectangle
Sonja [21]
L is 10
w is 3
10-3 is 7
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