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3 years ago

10

WILL GIVE BRAINLIEST!

2 answers:

Vitek1552 [10]3 years ago

8 0

Answer:

1,632

Step-by-step explanation:

andreev551 [17]3 years ago

3 0

Answer:

1,632(

Step-by-step explanation:

I did 34,284/252 to figure out the # of groups with 252 people

I got 136.04-- rounded it to 136

I then multiplied 136*12=1,632

so 1,632 people have type A blood

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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

4. Which relation is also a function?

ELEN [110]

B because each input has one output

3 0

3 years ago

Read 2 more answers

Given AB = 3x + 3 and BC = 2x + 9

BartSMP [9]

Answer:

x=6

Step-by-step explanation:

AB=BC

3x+3=2x+9

x=6

5 0

3 years ago

Elaina just began working as an occupational therapist assistant for $21.00 per hour. For each paycheck she receives, 12% is ded

lora16 [44]

Answer:

Elaina just began working as an occupational therapist assistant for $21.00 per hour. For each paycheck she receives, 12% is deducted from the gross pay for Federal Withholding Tax. In addition, 1.45% is deducted for Medicare and 6.2% for Social Security. Below is Elaina’s paycheck with missing information.

Elaina’s gross pay for a two week period is $1680.00, what is her net pay?

Step-by-step explanation:

c

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3 years ago

john likes to walk the steps of the department he works for during lunch break. There are s steps in his department. Today John

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2 years ago