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vampirchik [111]
3 years ago
15

Candice is researching a career as a electrician

Mathematics
2 answers:
kicyunya [14]3 years ago
8 0
More information lol???
Naddik [55]3 years ago
5 0

Answer:

ridiculous I'm trying got get this done.

Step-by-step explanation:

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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
A Ferris wheel at the local fair has a diameter of 36 feet and a midline of 15 feet. This Ferris wheel makes one revolution ever
AVprozaik [17]

Answer:

Hold on let me seee!!!!!!!

5 0
3 years ago
Okay, this is the last one. Ty for helping.
yawa3891 [41]

Answer:

128

Step-by-step explanation:

You get this by doing PEMDAS. We start with parenthises and then exponet so we do 4x4 which is 16 now we have 18-16+2 so we go in order and the anwser for the first line is 4 but we have an exponet so 16

now the second line we divide 1 and 4 we get 4 and now we multiply by 1/2 and we get 2. now we have 16/2 that is our anwser and we can put that to a whole number of 128

8 0
2 years ago
Dans la classe de Nina, il y a 12 filles et 13 gar-
Mazyrski [523]
fctvtbhybununununuhyj
3 0
3 years ago
Calculate the unit rate:<br>write your answer as a decimal <br><br>1/2 mile in ever 1/3 hour​
Alexandra [31]

Answer:

unit \: rate =  \frac{distance}{time}

unit rate is similar to speed / velocity:

unit \: rate =  \frac{ (\frac{1}{2} )}{ (\frac{1}{3})} \\  \\  =  \frac{1}{2}  \div  \frac{1}{3}  \\  \\  =  \frac{1}{2}  \times  \frac{3}{1}  \\  \\  = >  { \boxed{ \boxed{unit \: rate  =   \frac{3}{2}  \: miles \: per \: hour}}}

[<em>unit</em><em> </em><em>rate</em><em> </em><em>must</em><em> </em><em>have</em><em> </em><em>units</em><em> </em><em>including</em><em> </em><em>per</em><em> </em><em><</em><em>time</em><em>></em><em> </em>]

7 0
2 years ago
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