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4 years ago

12

Click this link to view O'NET's Skills section for Municipal Clerks Note that common skills are listed toward the top

2 answers:

kotykmax [81]4 years ago

4 0

Answer:

it is

Step-by-step explanation:

1, 3, 4, 6

Alika [10]4 years ago

3 0

Writing, reading comprehension

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Find the slope of the line through points (3, -8) and (0.4). *

nasty-shy [4]

Answer:

slope is -4

Step-by-step explanation:

To find the slope with points, you do (y2-y1)/(x2-x1)

4-(-8)=12

0-3=-3

12/-3=-4

4 0

4 years ago

Read 2 more answers

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

4 years ago

What is the measure of angle 1?

Tju [1.3M]

Answer:

C

Step-by-step explanation:

Let find the measure of the angle supplementary to Angle 1.

$\frac{123 + 84}{2} = 103.5$

Angle 1 is supplementary to that angle so

$103.5 + x = 180$

$x = 76.5$

8 0

3 years ago

Jordan invested $600 in cash in a savings account interest rate is 6% per year find the simple interest earned in three years th

Natali5045456 [20]

$600x06x3= $108.00- the interest and with the $600 it would be $708

5 0

3 years ago

Read 2 more answers

Seth and Jennifer are trying to figure out how long they can live off their $22,500 savings if they spend $530 each month. They

Nezavi [6.7K]

Jennifer is correct- first one

6 0

3 years ago

Read 2 more answers