What is the median of the data displayed in this box-and-whisker plot?


42

49

54

57

Answer:

The graph that matches the equation y = 2sin(x – π) + 2 is D

Step-by-step explanation:

To determine which graph matches the given equation y = 2sin(x – π) + 2. We will determine the values of y for range of values of x from -2π to 5π.

When x = -2π

From

y = 2sin(x – π) + 2

Then

y = 2sin(-2π – π) + 2

y = 2sin(-3π) + 2

(NOTE: π = 180°)

∴ y = 2sin(-540) + 2

y = 2(0) +2

y = 0 + 2

y =2

When x = -π

Then

y = 2sin(-π – π) + 2

y = 2sin(-2π) + 2

y = 2sin(-360) + 2

y = 2(0) +2

y = 0 + 2

y =2

When x = 0

Then

y = 2sin(0 – π) + 2

y = 2sin(-π) + 2

y = 2sin(-180) + 2

y = 2(0) +2

y = 0 + 2

y =2

When x = π

Then

y = 2sin( π– π) + 2

y = 2sin(0) + 2

y = 2(0) +2

y = 0 + 2

y =2

When x = 2π

y = 2sin(2π – π) + 2

y = 2sin(π) + 2

y = 2sin(180) + 2

y = 2(0) +2

y = 0 + 2

y =2

When x = 3π

y = 2sin(3π – π) + 2

y = 2sin(2π) + 2

y = 2sin(360) + 2

y = 2(0) +2

y = 0 + 2

y =2

When x = 4π

y = 2sin(4π – π) + 2

y = 2sin(3π) + 2

y = 2sin(540) + 2

y = 2(0) +2

y = 0 + 2

y =2  

When x = 5π

y = 2sin(5π – π) + 2

y = 2sin(4π) + 2

y = 2sin(720) + 2

y = 2(0) +2

y = 0 + 2

y =2

The only graph that corresponds to the tested values of x is the last graph (D)

Hence, the graph that matches the equation y = 2sin(x – π) + 2 is D.

The graph of the given equation is given by option D) and this can be determined by using the rules of transformation.

Given :

Equation  --  [tex]y = 2\sin(x-\pi)+2[/tex]

The following steps can be used in order to determine the graph that represents the given equation:

Step 1 - Write the given equation.

[tex]y = 2\sin(x-\pi)+2[/tex]

Step 2 - Now, draw the graph of (sin x) and then translate it by a factor of [tex]\pi[/tex] in the right direction. So, the graph obtained is the graph of [tex]\sin(x-\pi)[/tex].

Step 3 - Now, stretch the graph of [tex]\sin(x-\pi)[/tex] by a factor of 2. So, the graph obtained is the graph of [tex]2\sin(x-\pi)[/tex].

Step 4 - Now, translate the graph of [tex]2\sin(x-\pi)[/tex] by a factor of 2 in the upward direction. So, the graph obtained is the graph of [tex]2\sin(x-\pi)+2[/tex].

Therefore, the correct option is D).

For more information, refer to the link given below:

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that is your anwser please rate it bad if it's wrong n/3 + 2/3

Answer:

Slope: -34

Point: (4, -3)

Step-by-step explanation:

This equation is written in point-slope form. The equation of a line in point-slope form is written as (y - y_1) = m(x - x_1).

We are asked to find the point and slope of (y + 3) = -34(x - 4). We can automatically determine that the slope is -34 because that's where the variable, m, is. Next, we know that the x-coordinate is 4 because it's in the place of x_1. Lastly, the y-coordinate is -3 because it changes the subtraction sign to an addition sign, and it's in the place of y_1. Thus, the point would be (4, -3).

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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Work Shown:

a = 4 is the first term

d = 3.5 is the common difference (we add this to each term to get the next term)

f(n) = nth term of arithmetic sequence

f(n) = a + d*(n-1)

f(n) = 4 + 3.5(n-1)

f(n) = 4 + 3.5n - 3.5

f(n) = 3.5n + 0.5

------------------------

As a check, we could plug in n = 1 to get

f(n) = 3.5n+0.5

f(1) = 3.5(1)+0.5

f(1) = 4

Showing that 4 is the first term. Now let's try n = 2

f(n) = 3.5n+0.5

f(2) = 3.5(2)+0.5

f(2) = 7.5

Which matches with the sequence also.

I'll let you confirm the other terms.

Answer:

[tex]r=1.46 \textsf{ cm (nearest hundredth)}[/tex]

Step-by-step explanation:

Volume of a sphere = [tex]\dfrac43\pi r^3[/tex]

Given volume = 13.04 cm³

[tex]\implies 13.04=\dfrac43\pi r^3[/tex]

Multiply both sides by 3/4:

[tex]\implies 9.78=\pi r^3[/tex]

Divide both sides by [tex]\pi[/tex]:

[tex]\implies \dfrac{9.78}{\pi}=r^3[/tex]

Cube root both sides:

[tex]\implies r=\sqrt[3]{\dfrac{9.78}{\pi}}[/tex]

[tex]\implies r=1.460146149...[/tex]

[tex]\implies r=1.46 \textsf{ cm (nearest hundredth)}[/tex]

Answer:

there would be a difference in mean

Answer:

Domain:

(-∞,∞)

Range:

[1,∞)

Step-by-step explanation:

Domain is all the x values

range is all the y values

graphing it would make it look easy to figurw out

Answer:

[tex] \sqrt{105} [/tex]

Step-by-step explanation:

Using the geometric nean theorem, if we let the hypotenuse be x, then:

[tex] \frac{7}{x} = \frac{x}{15} [/tex]

[tex] {x}^{2} = 105[/tex]

[tex]x = \sqrt{105} [/tex]

Answer:

V16 – V4 is equal to V16 - 4 only when V=1

Step-by-step explanation:

16-4=16-4

12=12

any number other than 1 doesn't work

Answer:B

Step-by-step explanation:

Answer:

Center is [tex](7,-4)[/tex]

Step-by-step explanation:

Recall that the equation for a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] with center [tex](h,k)[/tex] and radius [tex]r[/tex]. Hence, the center is [tex](h,k)\rightarrow(7,-4)[/tex].

just a quick addition to the great reply above by "goddessboi"

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (x-7)^2+(y+4)=9\implies [x-\stackrel{h}{7}]^2+[y-(\stackrel{k}{-4})]^2=3^2~\hfill \stackrel{vertex}{(7~~,~~-4)}[/tex]

Answer:

he buys 40 juice boxes

Step-by-step explanation:

Answer: good boy good boy

Answer:

no se

perdon

Step-by-step explanation:

Answer:

supplementary

Step-by-step explanation:

angle adds to 180 degrees

Answer:

x = 32

Step-by-step explanation:

180 - 110 (y) = 70

so corner b = 70 degrees

360 - 282 = 78 (282 = z)

70 + 78 = 148

180 - 148 = 32

180 because all triangles angles add up to 180 degrees

so therefore x = 32 degrees

Answer:

n = 36

Step-by-step explanation:

First, isolate the variable. Then, use the opposite operations to manipulate the inequality, whatever you do to one side you must to do the other, solve the right side to find your variable.

n - 22 + 22 < 14 + 22

n = 36

Answer:

56,252 rounded to the nearest ten thousands place is 50,000

Answer:

The answer would be 56,000.

Step-by-step explanation:

You need to look at the number next to the ten thousands place.

56,252

See if the number is 5 or greater so that you can round up.

If lower than 5, you round down.

The 2 is less than 5 so you round down to 56,000.

Answer:

B.2 × 7^5

Step-by-step explanation:

two times seven to the fifth = 2 x 7^5

[tex]2 * 7 ^5[/tex]

[RevyBreeze]

The lines in the graph are pretty close to each other, the answer would be the second choice.

There is no association because distribution of lunch preference is approximately the same.

The number of people she can serve is 10 people.

She made 10 cups of chocolate mousse for dessert.

Her plan was to serve each person of a cup of chocolate mousse.

This means she will serve one person a cup of the chocolate mousse for dessert.

The number of people she will serve can be calculated with the following proportion.

let

x = number of people she can serve

Recall each person must get one

cross multiply

x = 10

Therefore, the number of people she can serve is 10 people.

learn more on algebra here: https://brainly.com/question/690244

Answer:

75 feet

Step-by-step explanation:

[tex]\frac{2.5ft}{1in} = \frac{x}{30in} \\[/tex]

By using a proportion we can solve this problem.

By isolating x we get x = 2.5(30) so x = 75.

Thus if the wall is 30 in in the model it is 75 feet in actuality.

Answer:

ac - ad - bc + bd

Step-by-step explanation:

There aren't very many steps to show, but I'm assuming that you needed to multiply out the equation. So for this, you would use FOIL which means first, inner, outer, last.

I think of it as multiplying the a with c and d, and then multiplying the b with the c and d. When you do this, you get ac - ad - bc + bd.

Answer:

Answer: 20 feet further

Step-by-step explanation:

Answer:

horse A will have travel 20 feet farther than horse B

Answer: A

Step-by-step explanation:
Your answer is A.

Value of 3.78 x 10=37.8

Value of 5.99 x 102=699.98

value of 7.35 x 10-12=61.5

Value of 9.46 x 10-10=84.6.

Least value to greatest value

3.78 x 10=37.8 Least value

7.35 x 10 - 12=61.5 Sencond least value

9.46 x 10 - 10=84.6  Sencond greatest value

5.99 x 102=699.98  Greatest value

Hope it helps have a great day:)

ok solo multiplicar por eso

Answer:

0.33333333333

1.75 / 5.25 equals: 0.33333333333

Step-by-step explanation:

The solution after divide is,

⇒  1.75 divided by 5.25 = 0.33

We have to given that;

The expression to solve.,

⇒ 1.75 divided by 5.25

Now, We can divide as;

⇒ 1.75 divided by 5.25

⇒ 1.75 / 5.25

⇒ 175/525

⇒ 0.33

Thus, The solution after divide is,

⇒  1.75 divided by 5.25 = 0.33

Learn more about the divide visit:

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#SPJ6

Answer:

3x times 3x

Step-by-step explanation: