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2 years ago

9

An altimeter records the height of a stunt man as he jumps from an airplane at

1 answer:

Whitepunk [10]2 years ago

7 0

the stunning men has be fly for a 1 min

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What is algebra I would really like it if you could help

Sergio039 [100]

Answer:

It is the branch of math that is in charge of dealing with letters known as variables.

Step-by-step explanation:

These variables are used to fill in the place of missing numbers in an equation or solution.Algebra is widely used all over the world in schools.

8 0

3 years ago

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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

Write the first six multiples of the number 4:

8_murik_8 [283]

4,8,12,16,20,24
4x1=4
4x2=8
4x3=12
4x4=16
4x5=20
4x6=24

8 0

3 years ago

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Element X decays radioactively with a half life of 12 minutes. If there are 690 grams of Element X, how long, to the nearest ten

Alexeev081 [22]

Answer:

the answer and explanation of the question is in the picture

Step-by-step explanation:

hope this helps

please like and Mark as brainliest

7 0

2 years ago

What is the square of 7

kkurt [141]

2.64575131106 I don’t know if you need to round the answer or not

6 0

3 years ago

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