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andreyandreev [35.5K]
2 years ago
9

Systems requests do not deal with factors involved in improving service.

Mathematics
1 answer:
valentina_108 [34]2 years ago
5 0
Systems requests do not deal with factors involved in improving service: false
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Y=4x i need the output<br>​
Jobisdone [24]

Answer:  -24.

Hope this helped you! :)

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Kylie recorded the number of squats she could do on each day of her training.
valina [46]

Answer:

your answer will be B)Yes. Each input (day) has exactly one output (number of squats).

Step-by-step explanation:

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3 years ago
If population function x has mean M(x)=2 and M(x²)=8, find its standard deviation​
sasho [114]

The standard deviation of the population function is 2

<h3>How to determine the standard deviation?</h3>

The given parameters are:

M(x) = 2

M(x²)=8

The standard deviation is calculated using:

\sigma = \sqrt{M(x^2) - (M(x))^2

Substitute known values

\sigma = \sqrt{8 - 2^2

Evaluate the expression

\sigma = 2

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6 0
2 years ago
Can someone please help?​
TiliK225 [7]

Answer:

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7 0
3 years ago
A school wishes to enclose its rectangular playground using 480 meters of fencing.
Harlamova29_29 [7]

Answer:

Part a) A(x)=(-x^2+240x)\ m^2

Part b) The side length x that give the maximum area is 120 meters

Part c) The maximum area is 14,400 square meters

Step-by-step explanation:

The picture of the question in the attached figure

Part a) Find a function that gives the area A(x) of the playground (in square meters) in terms of x

we know that

The perimeter of the rectangular playground is given by

P=2(L+W)

we have

P=480\ m\\L=x\ m

substitute

480=2(x+W)

solve for W

240=x+W\\W=(240-x)\ m

<u><em>Find the area of the rectangular playground</em></u>

The area is given by

A=LW

we have

L=x\ m\\W=(240-x)\ m

substitute

A=x(240-x)\\A=-x^2+240x

Convert to function notation

A(x)=(-x^2+240x)\ m^2

Part b) What side length x gives the maximum area that the playground can have?

we have

A(x)=-x^2+240x

This function represent a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the length that give the maximum area that the playground can have

Convert the quadratic equation into vertex form

A(x)=-x^2+240x

Factor -1

A(x)=-(x^2-240x)

Complete the square

A(x)=-(x^2-240x+120^2)+120^2

A(x)=-(x^2-240x+14,400)+14,400

A(x)=-(x-120)^2+14,400

The vertex is the point (120,14,400)

therefore

The side length x that give the maximum area is 120 meters

Part c) What is the maximum area that the playground can have?

we know that

The y-coordinate of the vertex represent the maximum area

The vertex is the point (120,14,400) -----> see part b)

therefore

The maximum area is 14,400 square meters

Verify

x=120\ m

W=(240-120)=120\ m

The playground is a square

A=120^2=14,400\ m^2

8 0
3 years ago
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