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anyanavicka [17]
1 year ago
13

(X^-5y/y^3)^-1= A)x^5/y^2 B)y^2/x^5 C)x^5 y^2 D)x^5 y^-3

Mathematics
1 answer:
Nezavi [6.7K]1 year ago
3 0

\left(\frac{x^{-5}y}{y^3} \right)^{-1} \\ \\ =\frac{y^3}{x^{-5}y} \\ \\ =\frac{y^2}{x^{-5}} \\ \\ =\boxed{x^5 y^2}

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Step-by-step explanation:

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3 years ago
You have D dollars to buy fence to enclose a rectangular plot of land (see figure at right). The fence for the top and bottom co
alex41 [277]

The perimeter of the rectangular plot of land is given by the expression below

P=2x+2y

On the other hand, since the available money to buy fence is D dollars,

\begin{gathered} D=4(2x)+3(2y) \\ \Rightarrow D=8x+6y \\ D\rightarrow\text{ constant} \end{gathered}

Furthermore, the area of the enclosed land is given by

A=xy

Solving the second equation for x,

\begin{gathered} D=8x+6y \\ \Rightarrow x=\frac{D-6y}{8} \end{gathered}

Substituting into the equation for the area,

\begin{gathered} A=(\frac{D-6y}{8})y \\ \Rightarrow A=\frac{D}{8}y-\frac{3}{4}y^2 \end{gathered}

To find the maximum possible area, solve A'(y)=0, as shown below

\begin{gathered} A^{\prime}(y)=0 \\ \Rightarrow\frac{D}{8}-\frac{3}{2}y=0 \\ \Rightarrow\frac{3}{2}y=\frac{D}{8} \\ \Rightarrow y=\frac{D}{12} \end{gathered}

Therefore, the corresponding value of x is

\begin{gathered} y=\frac{D}{12} \\ \Rightarrow x=\frac{D-6(\frac{D}{12})}{8}=\frac{D-\frac{D}{2}}{8}=\frac{D}{16} \end{gathered}<h2>Thus, the dimensions of the fence that maximize the area are x=D/16 and y=D/12.</h2><h2>As for the used money,</h2>\begin{gathered} top,bottom:\frac{8D}{16}=\frac{D}{2} \\ Sides:\frac{6D}{12}=\frac{D}{2} \end{gathered}<h2>Half the money was used for the top and the bottom, while the other half was used for the sides.</h2>

7 0
9 months ago
What is an exponential decay function?
Vikki [24]

Answer:

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Step-by-step explanation:

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2 years ago
MAJOR HELP!! Please help someone please..
VMariaS [17]

Answer:

x=8.48

Step-by-step explanation:

Sin 45 = x/12

x=12 x sin 45

x=12 x .7071

x=8.48

7 0
2 years ago
Please help with the math question above! I will give brainliest!
galina1969 [7]
F(2) is referring to the 2 on the x-axis. You can see that the point aligning with 2 on the x-axis is also 2 on the y-axis. Therefore, f(2)=2! hope that helped
6 0
3 years ago
Read 2 more answers
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