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3 years ago

10

How many day does it take to paint 50 small planters and 24 large planters

1 answer:

katrin [286]3 years ago

3 0

I believe there is more to the question because there is not enough information for a valid answer.

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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 farm has 8 cows, 28 chickens, 4 pigs, and 12 goats. which ratio is the

QveST [7]

Answer:

C

Step-by-step explanation:

ratio of pigs to chickens = 4/28, which simplifies to 1/12

ratio of goats to chickens = 12/28, which simplifies to 3/7

ratio of cows to goats = 8/12, which simplifies to 2/3

ratio of pigs to cows = 4/8, which simplifies to 1/2

since 2/3 is the largest, the answer is C

3 0

2 years ago

What charge is the neutron?<br> Katlyn-charged<br> negative<br> no charge (neutral)<br> positive

Fynjy0 [20]

Answer:

neutral

Step-by-step explanation:

neutral subatomic particle that is a constituent of every atomic nucleus except ordinary hydrogen.

4 0

3 years ago

Does the graph represent a function?

AlekseyPX

Answer:

no it does not you can identify that by doing the vertical line test

Step-by-step explanation:

7 0

3 years ago

PLEASE HELP!!<br><br> which graph represents the function f(x) = -|x| - 2

Nonamiya [84]

Answer:

The graph on the far right

Step-by-step explanation:

The negative in front of the absolute value indicates that the parent function |x| has been reflected over the x-axis and points downwards. The negative 2 being added to this portion shows that there has been a vertical shift of two units downwards as well. Therefore, the graph on the far right is the correct graph.

4 0

2 years ago