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Elina [12.6K]
3 years ago
7

Write -9.42 as a mixed number.

Mathematics
1 answer:
Savatey [412]3 years ago
5 0

Answer:

-9 21/50

Step-by-step explanation:

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aleksandrvk [35]

Answer:

Oink oinkkk

Step-by-step explanation:


8 0
3 years ago
Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre
andrew-mc [135]

Answer:

The area function is

A=\frac{135}{2}x-\frac{9}{2}x^2.

The domain and range of A is (0,15m) and (0, 253.125 m^2].

Step-by-step explanation:

The given length of fencing is 90 m.

Let the length and width of each pen be x and y respectively as shown in the figure.

As there are 3 pens, so, the total area,

A= 3 xy \;\cdots (i)

From the figure the total length of fencing is 6x+4y.

Here, for a significant area for the animals, x>0 as well as y>0 as x and y are the sides of ben.

From the given value:

6x+4y=90\;\cdots (ii)

\Rightarrow  y=\frac {45}{2}-\frac{3x}{2}

Now, from equation (i)

A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)

\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)

This is the required area function in the terms of variable x.

For the domain of area function, from equation (ii)

x=15-\frac{2y}{3}

\Rightarrow x [as y>0]

So, the domain of area function is (0,15m).

For the range of area function:

As x \rightarrow 0 or y\rightarrow 0, then A\rightarrow 0 [from equation (i)]

\Rightarrow A>0

Now, differentiate the area function with respect to x .

\frac {dA}{dx}=\frac{135}{2}-9x

Equate \frac {dA}{dx}  to zero to get the extremum point.

\frac {dA}{dx}=0

\Rightarrow \frac{135}{2}-9x=0

\Rightarrow x=\frac{15}{2}

Check this point by double differentiation

\frac {d^2A}{dx^2}=-9

As,  \frac {d^2A}{dx^2}, so, point x=\frac{15}{2} is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2

\Rightarrow A=253.125 m^2

Hence, the range of area function is (0, 253.125 m^2].

4 0
3 years ago
What is the area of the yellow section?
nignag [31]

Answer:

98m^{2}   i hope this helps!   :)

Step-by-step explanation:

given   7 * 14 = ?

multiply 14 by 7   14 * 7 = 98

98m^{2}

8 0
3 years ago
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Goryan [66]

Answer:

Please see below :)

Step-by-step explanation:

The slope is just what's in front of the x!

So:

1.) slope = -1/4

2.) slope = undefined

3.) slope = -9

4.) slope = 9/2

Hope this helps!

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In the interval 0° ≤x≤360°, find the values of x for which sin x=-0.8176. Give your answer to the nearest degree.
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Answer:

235, 305, 55

Step-by-step explanation:

3 0
3 years ago
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