What is the measure of angle X? Enter your answer as a decimal in the box. (Units are degrees - please only enter numbers in the box.) Round only your final answer to the nearest hundredth.

What Is The Measure Of Angle X? Enter Your Answer As A Decimal In The Box. (Units Are Degrees - Please

Answers

Answer 1

Answer:

81.20

Step-by-step explanation:

I took the test and got it right


Related Questions

5. ​______ is the transfer of thermal energy by collisions between particles in matter.
​a.​Convection​ b.​Radiation. ​c.​Conduction. ​d.​​Contact

Answers

Answer:

conduction its the answer

Write a rule that transforms ABC into A'B'C'

Answers

Answer:

(x - 5, y - 1)

Step-by-step explanation:

The x value tells how many units to move right or left.  Right would be adding to x and left would be subtracting from x.

The figure is moved 5 spaces left that would be a rule of x -5.

The y value tells how many units to move up or down.  Up would be addition and down would be subtraction.  In this case, we are moving the figure down one unit so the rule would be y - 1

186283 miles every second is how many feet per hour

Answers

Step-by-step explanation:

To convert 186283 miles per second to feet per hour, we need to first convert the distance from miles to feet. There are 5280 feet in a mile, so 186283 miles is equal to 186283 * 5280 = 9,839,784,000 feet.

We also need to convert the time from seconds to hours. There are 3600 seconds in an hour, so 186283 seconds is equal to 186283 / 3600 = 51.8 hours.

Therefore, 186283 miles per second is equal to 9,839,784,000 feet per 51.8 hours, or approximately 188,822,900 feet per hour. This is the final answer.

Construct a venn diagram illustrating the sets below. U = {1,2,3,4,5,6,7,8,9} Y={1,3,4,6,7} Z={1,5,7}

Answers

Answer:

Step-by-step explanation:

Here is a Venn diagram illustrating the sets U, Y, and Z:

       Y        

  _____|_____

 |                      |

 |                      |

 |                      |

 |                      |

Z |     U             |

 |                      |

 |                      |

 |                      |

 |_____         _|

       |__    _|

            Z

In this diagram, the set U is represented by the large circle, the set Y is represented by the smaller circle inside U, and the set Z is represented by the smaller circle outside U. The region where the three circles overlap represents the intersection of all three sets. The region inside U but outside Y and Z represents the elements in U that are not in Y or Z. The region inside Y but outside U and Z represents the elements in Y that are not in U or Z. The region inside Z but outside U and Y represents the elements in Z that are not in U or Y. Finally, the region outside all three circles represents the elements that are not in any of the sets U, Y, or Z.

Select all of the equations that are equivalent to 8k = 20. 8k – 4 = 20 + 4 8k ÷ 4 = 20 ÷ 4 8k × 3 = 20 × 3 8k + 10 = 20 + 10 8k × 5 = 20 ÷ 5

Answers : ACD

Answers

The equations that are equivalent are (b) 8k ÷ 4 = 20 ÷ 4, (c) 8k × 3 = 20 × 3 and (d) 8k + 10 = 20 + 10

How to determine the equations that are equivalent?

From the question, we have the following parameters that can be used in our computation:

8k = 20.

Divide both sides of the equation by 4

So, we have the following representation

8k ÷ 4 = 20 ÷ 4

Multiply both sides of the equation by 3

So, we have the following representation

8k × 3 = 20 × 3

Add 10 to both sides of the equation

So, we have the following representation

8k + 10 = 20 + 10

Hence, the equivalent equation is 8k + 10 = 20 + 10

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a,b)Find the phasor form of the following E-field, the polarization type, and plot the vector on the X-y axis (z-0) for one period a) E(z,t) = xZcos(wt kz) y4cos(wt kz) b) E(z,t) = R2cos(wt + kz) - 94sin(wt + kz)

Answers

a) The phasor form of E-field = xˆ 2cos(wt - kz) - yˆ 4cos(wt - kz) is 2√5 L(-63.43).

Polarization type is linearly polarised.

b) The phasor form of E-field = ?

E(z,t) = xˆ 2cos(wt + kz) - yˆ 4sin(wt + kz) is E(z,t) =2√5 L(-143.43). polarization type is elliptical.

We have given that

E⃗(z,t) =2xˆcos(wt - kz) - 4 yˆcos(wt - kz)

|r⃗ | = √((2cos(wt - kz))² + (- 4cos(wt - kz))²)

= √(4cos²(wt - kz) + 16cos²(wt - kz))

= √(20cos²(wt - kz))

= 2√5 cos(wt - kz)

φ = 4cos(wt - kz)/(2cos(wt - kz))

= tan⁻¹ 1(-2) = -63.43°

So, E(z,t) = 2√5 L(-63.43)

b) E(z,t) = xˆ 2cos(wt + kz) - yˆ 4sin(wt + kz)

= xˆ 2cos(wt + kz) - yˆ 4cos(wt + kz -π/2)

|r| = √((2cos(wt + kz))² + (- 4sin(wt -+kz))²)

= √20

phi = tan⁻¹(- 4cos(wt - kz)/(2cos(wt - kz)) - π/2

= tan⁻¹( -2) + π/2 = - 143.43

so, E(z,t) =2√5 L(-143.43)

E(z,t) = xˆ 2cos(wt - kz) - yˆ 4cos(wt - kz)

if wt = 0°

E(z,t) = xˆ 2cos(0 - kz) - yˆ 4cos(0- kz)

= 2xˆ - 4yˆ

wt = 30° , E(z,t) = xˆ 2cos( - kz) - yˆ 4cos(0- kz)

E(z,t) = √3/2(2) xˆ - √3/2(4) yˆ

= √3xˆ - 2√3yˆ

for wt = 45°

E(z,t) = √2 xˆ - 2√2 yˆ

for wt = 90° =>E(z,t) = 0

for wt = 60° , E(z,t) = xˆ - 2 yˆ as seen in above graph that is linear polarised

For part (b) ,

E(z,t) = 2 xˆcos(wt - kz) - 4yˆ sin(wt + kz)

From graph elliptical polarised,

for wt = 0 , E(0,t) = 2 xˆ

for wt = 90° , E(0,t) = -4yˆ

for wt =180° , E(0,t) = -2 xˆ

for wt = 270° , E(0,t) = -4yˆ

Hence, we get the answer of both parts.

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can anyone help me out!

Answers

Answer:

I don't know this is confused

Determine all real values of a.

a2 = 81

A: a = 9
B: a = ±9
C: a = 40.5
D: a = ±40.5

Answers

The answer is c because 81 divided by 2 equals 40.5

Solve 7x-6y=17 for y.​

Answers

The value of y in the linear equation 7x - 6y = 17 is y = -(17 + 7x)/6

Linear Equation

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable.

In this problem, we are to solve for y.

7x - 6y = 17

Step 1

Take 7x to the right hand side of the equation

-6y = 17 - 7x

Step 2

Divide both sides by the coefficient of y

-6y / -6 = (17 - 7x) / - 6

y = - (17 + 7x) / 6

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What is the slope of a line parallel to the line
3x - 2y = 8?

Answers

Answer:

looooookkkk att the picture

Tomas is planning out a rail trail using a map with a marked grid. The head of the trail, which has an information kiosk, is located at (3, 0). He moves 1 unit east and 3 units north and places a pin at (4, 3) to represent the location of another information kiosk. He continues placing pins so that each pin is 1 unit east and 3 units north in relation to the previous pin. Which of the following points will have pins? Select all that apply.

A coordinate plane has an x-axis labeled East from 0 to 10 in increments of 1 and a y-axis labeled North from 0 to 10 in increments of 1.

A.
(5, 6)

B.
(6, 8)

C.
(7, 10)

D.
(8, 17)

E.
(9, 18)

F.
(10, 21)

Answers

Answer:

A, B, C.

Step-by-step explanation:

Find the equation that matches the following table.
X Y
-3 4
0 2
3 0

Answers

Answer:

In order to find out the equation of liner function first of all u need to find the slope of it (a) then put it in general form of liner functions, afterwards put desire point of x,y table in equation to find the b.

form of liner function : y= ax+b

step 1. finding the slope

[tex]a = \frac{y1 - y2}{x1 - x2} [/tex]

for example I'll put (-3,4) and (0,2) to this formula,

the slope would be -2/3

step2. finding the b

put a desire point of x,y table for example (3,0)

0 = -2/3 × 3 + b

b would be 2

so the equation is y= -2/3x + 2

Solve the following equation for b. You may assume all variables are positive
so do not use or absolute values.
m = 4fb²-g²

Answers

Answer:

b = √(m+g²)/4f

Step-by-step explanation:

Look at the age-structure pyramids. The numbers between the bars (in the middle of the graphs) serve as the y-axis. What do these numbers represent?

Answers

Answer:Th numbers between the bars represents:

A) The age classes, in 5-year ranges

Explanation:

The age classes are indicated by the numbers between the bars, while the numbers within the bars show the popularity of each age group in millions.

Typically, a population pyramid like the one below does not display the number of births that occurred in a single year. However, by looking at the year the population pyramid was developed and deducting from it the corresponding ages shown in the pyramid, one can estimate this information.

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complete question:

Look at the age-structure pyramids. The numbers between the bars (in the middle of the graphs) serve as the y-axis. What do these numbers represent?

a) the age classes, in 5-year ranges

b) the number of people born in a particular year

c) the total population(in Million) of males and females

d) the percentage of the population in each age class.

If f(x) ==x²-1, and
g(x) = x + 5, then
f(g(x)) = [? ]x²+[ ]x + [ ]

Answers

Answer:

-1, -10, -26

Step-by-step explanation:

f(x) = -x² - 1

g(x) = x + 5

f(g(x)) =

-(g(x))² - 1 =  ==> plugin g(x) for x in f(x) in order to get f(g(x))

-(x + 5)² - 1 =  ==> plugin x+5 for g(x)

-(x + 5)(x + 5) - 1 =

-(x(x + 5) + 5(x + 5)) - 1 =   ==> distribute (x+5) to x and 5

-((x*x + 5*x) + (5*x + 5*5)) - 1 = ==> simplify

-(x^2 + 5x + 5x + 25) - 1 =

-(x^2 + 10x + 25) - 1 =

-x^2 - 10x - 25 - 1 = ==> distribute the negative sign to x^2, 10x, and 25

-x^2 - 10x - 26 = -1x^2 + (-10x) + (-26)

Subtracting by a positive number is equivalent to adding by a negative number

Answer: -1, -10, -26

What is the greatest common factor of 33 and 49

Answers

Answer:

1

Step-by-step explanation:

All factors of 33 : 1, 3, 11, 33

All factors of 49 : 1, 7, 49

So the Greatest Common Factor for 33 and 49 is 1


Four students are getting ready for a running competition. They each set a goal to run
a certain number of laps in the week before the competition.

Ivory's goal is to run 50
laps. They ran 35 laps. What percent of their goal is this?

Answers

Answer: 70%

Step-by-step explanation: To find the percent of their goal that Ivory ran, divide the number of laps they ran by their goal and multiply by 100. In this case, Ivory ran 35 / 50 * 100 = 70% of their goal.

Use the graph of the exponential function to find k, rounded to the nearest hundredth.
Responses

A
1.61

B
0.32

C
1.00

D
0.83

Answers

The value of k is 0.32 .

What is an exponential function?

The exponential function is one of the most important functions in mathematics (though it would have to admit that the linear function ranks even higher in importance). To form an exponential function, we let the independent variable be the exponent.

An exponential function is a function that usually takes the form f(x) = bˣ.

The exponential curve depends on the exponential function and it depends on the value of the x.

where;

b = base

ˣ = power

The general exponential function that models  the data given is:

[tex]y = ce^{kt}[/tex]

According to the (5,5c)

[tex]ce^{5k} = 5c\\\\e^{5k} = 5\\\\5k = ln5\\\\k = \frac{ln5}{5} \\\\k = 0.32[/tex]

Hence , the value of k is 0.32 .

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I’m so lost someone help!

Answers

Answer:

Cubic, Binomial

Step-by-step explanation:

A cubic function is when the degree of the polynomial is 3

The degree is the highest power

A binomial has 2 terms

So 8x^3-1 is a binomial and is cubic

Mrs. Zollicoffer’s bank pays 5 1/4% interest. She has $1,000 in the bank. How much interest would she receive in one year?

Answers

The interest that Zollicoffer will receive in one year is $52.50.

How much interest would Zollicoffer receive in one year?

The formula that is used for calculating the interest will be:

Interest = principal × rate × time

In this case, Mrs. Zollicoffer’s bank pays 5 1/4% interest. She has $1,000 in the bank. The interest that she would receive in one year will be:

Interest = Principal × Rate × Time

Interest = 1000 × 5.25% × 1

Interest = $52.5

The interest is $52.50.

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a coin is flipped 10 times how many outcomes will have exactly 4 tails and start and end with different faces

Answers

There are a total of 2^10 = 1024 possible outcomes for a coin flipped 10 times. Out of these, there are only 10 outcomes that have exactly 4 tails and start and end with different faces.

To count the number of outcomes with 4 tails, we can use the binomial coefficient formula: n choose k = n!/(k! * (n-k)!), where n is the total number of flips (10 in this case) and k is the number of tails (4 in this case). This gives us 10 choose 4 = 10!/ (4! * 6!) = 210 outcomes with 4 tails.

To count the number of outcomes that start and end with different faces, we can consider the first and last flips separately. The first flip can be either heads or tails and the last flip can also be either heads or tails, for a total of 2 * 2 = 4 possibilities.

Thus, there are a total of 210 * 4 = 840 outcomes that have exactly 4 tails and start and end with different faces. However, there are two outcomes (THTHTHTHTHT and TTHTHTHTHTH) that are counted twice in this total, so we need to subtract these from the total to get the correct number of outcomes. This gives us 840 - 2 = 838 outcomes.

Finally, we need to subtract the two outcomes that start and end with the same face (HHHHHHHHTH and THHHHHHHHH). This gives us a total of 838 - 2 = 836 outcomes.

Therefore, there are a total of 836 outcomes that have exactly 4 tails and start and end with different faces out of a total of 1024 possible outcomes.

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Match each expression on the left with its quotient. Use number sense and estimation to help.

5.85 or 36 or 9.4 or 21.5

40.42 ÷ 4.3 ( Drag Here )

15.48 ÷ 0.72 ( Drag Here )

86.4 ÷ 2.4 ( Drag Here )

50.31 ÷ 8.6 ( Drag Here )

Answers

Answer:

40.42 ÷ 4.3 = 9.4

15.48 ÷ 0.72 = 21.5

86.4 ÷ 2.4 = 36

50.31 ÷ 8.6 = 5.85

A food company sells its corn flakes in boxes of two different sizes: the regular box and the family value box. For the family value box, the length, width, and height of the box have all been increased by 20%.

Answers

The volume expression for the box is 1.728lwh and it means that the volume increases by 72.8%

How to determine the volume expression for the box?

The complete question is added at the end of this solution

From the question, we have the following parameters that can be used in our computation:

Length = l

Width = w

Height = h

The volume of a box can be calculated using

Volume = lwh

Rewrite the volume equation as

v = lwh

When the dimensions of the box are increased by 20%, we have the following expressions

Length = 1.2l

Width = 1.2w

Height = 1.2h

So, the new volume is

V = 1.2l * 1.2w * 1.2h

Evaluate

V = 1.728lwh

Hence, the expression is 1.728lwh

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A food company sells its corn flakes in boxes of two different sizes: the regular box and the family value box. For the family value box, the length, width, and height of the box have all been increased by 20%.

Determine the expression for the new volume

At a busy street corner in a large city, right at the morning rush hour, a psychologist counted the number of people waiting for the light to change. A confederate dressed as a homeless man crossed the street against the light. The psychologist counted the number of people who followed him. Whern the next group collected to wait for the light to change, another confederate, dressed as a well-to-do businessman, crossed the street against the light, and the psychologist counted the number of people who followed him. Analyze the data, X2, Write the conclusions and answer the question below Followed Did Not Follow Homeless Man 3 15 Businessman 8 7 What can the psychologist say about the influence of appearance on whether or not a person takes risks?

Answers

Interpretation: At level of significance a = 0.05, the evidence is sufficient. A person's risk-taking behavior is influenced by their appearance.

What do hypotheses and null hypotheses mean?

Using a statistical test, researchers compare the evidence supporting the null and alternative hypotheses, which are two conflicting claims: There is no population impact, or null hypothesis (H0). There is a population effect, or alternative hypothesis (Ha or H1).

Here,

Procedure for the Mega Stat Excel add-in:

The first step is to choose Add-Ins > Mega Stat > Chi-square/Crosstab > Contingency Table in EXCEL.

Step 2: Select the cell range A1:C3 in the input range box.

Step 3. Pick chi-square under Output Options. Click OK in Step 4.

Mega Stat output from the Excel add-in

Test for Independence Using a Chi-Square Contingency Table

Total Number of Followed Did Not Follow

Homeless Man 3 15  18

Businessman 8   7   15

Total       11  22  33

4.95 chi-square

1 df

.0261 p-value

Consequently, the p-value is 0.0261.

Decide on a significance threshold of 0.05.

The p-value in this instance, which is lower than the value of a = 0.05, is 0.0261. In other words, the p-value was (=0.0261) (=0.05).

Reject the null hypothesis in light of the rejection rule. [tex]H_{0}[/tex]

Interpretation: At level of significance a = 0.05, the evidence is sufficient. A person's risk-taking behavior is influenced by their appearance.

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Tonya is packing a moving truck with
boxes. Each box is 8 inches high. The
space remaining is 56 inches high. A
space of 2 inches must be left on top.

4. What is the maximum number of
boxes that will fit in the remaining
space?
A.4
B.5
C. 6
D.7

Answers

Answer:

  C. 6

Step-by-step explanation:

You want to know the number of 8-inch high boxes that will fit in a space 56 inches high, if an empty space of at least 2 inches must be left.

Relation

The number (n) of boxes and the required empty space that can fit in the available space is ...

  8n +2 ≤ 56

  8n ≤ 54

  n ≤ 6 3/4

6 boxes will fit in the remaining space.

John Carlo takes a car to a little business to borrow some money, John Carlo is given 3,400.00.00. He must pay back the $3,400.00 in addition to a $1,000.00 fee in 4 months.



What is the simple interest rate is he being charged?


Answers

Answer:

Step-by-step explanation:

simple interest I = Prt

I = $1,000 = 3,400r (4/12)

⇒ 3,400r (4/12) = 1,000

⇒ 3400r = 333.333

⇒ r = 0.098

      ≈ 9.80 %

Miguel is mailing packages.Each small package cost him $2.20 to send.Each large package cost him $3.90.How much will it cost him to send 6 small packages and 1 large package?

Answers

Answer: $13.50

Step-by-step explanation:

It will cost Miguel $13.50 to send 6 small packages and 1 large package. To find the total cost, we can first calculate the cost of sending the small packages by multiplying the cost per small package by the number of small packages: 2.20 * 6 = $<<2.20*6=13.20>>13.20

We can then add the cost of the large package to find the total cost: 13.20 + 3.90 = $<<13.20+3.90=17.10>>17.10.

Therefore, it will cost Miguel $17.10 to send 6 small packages and 1 large package.

On the coast of Oregon, mussels cover most of the rocky shoreline. Two mussel predators include Pisaster (ochre stars) and Nucella (whelks). A sixty-day removal study was conducted, and the results are presented in the graph. Which of the following conclusions is best supported by the data in the graph?

Answers

Because Pisaster is a keystone species, the proportion of living mussels was comparable to the control after Nucella removal.

Is the ochraceous Pisaster a keystone species?

Sea otters and sea gulls hunt for and eat Pisaster ochraceous. Its function as a keystone species has been well researched. When it was gone from Washington's intertidal regions, the area's species diversity declined.

Pisaster ochraceous: prey or predator?

Sea otters and sea gulls hunt for and eat Pisaster ochraceous. Its function as a keystone species has been well researched. When it was gone from Washington's intertidal regions, the area's species diversity declined.

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Find the solution to the system of equations. -4-3-2-1 4M= 432 21 1 1234 -1 -2 -3 -4 /y = 2x + B 1 2 3 4 y=-x ([?], [])​

Answers

After solving the equations, the value obtained for x and y will be equal to  (-1, 1).

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equations in the question,

y = 2x + 3     (i)

y = -x            (ii)

Substitute equation (ii) in (i)

-x = 2x + 3

-x - 2x = 3

-3x = 3

x = -3/3

x = -1

Substitute x = -1 in equation (i)

y = 2x + 3

y = 2(-1) + 3

y = -2 + 3

y = 1

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A chef preheats an oven. It starts at room temperature, 68°F, and heats up 23°F per minute.
How long does it take for the oven temperature to reach 275°F?
Write and solve an equation to find the answer.
minutes hi

Answers

Answer:

93 minutes

Step-by-step explanation

23/68 x/275= 93 min

It will take about 9 minutes if the rate is 23 degrees per minute plus the 68 degrees
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Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation 0.72.(a) Compute a 95% CI for the true average porosity of a certain seam if the average porosity for 23 specimens from the seam was 4.85. (Round your answers to two decimal places.)(b) Compute a 98% CI for true average porosity of another seam based on 14 specimens with a sample average porosity of 4.56. (Round your answers to two decimal places.)(c) How large a sample size is necessary if the width of the 95% interval is to be 0.42? (Round your answer up to the nearest whole number.)(d) What sample size is necessary to estimate true average porosity to within 0.24 with 99% confidence? (Round your answer up to the nearest whole number.) What was the purpose of the FERA program? Fill in the code in the following program.Area of a circle is pi * r2.public class Circle {/** The radius of the circle */private double radius = 1;/** The number of the objects created */private static int numberOfObjects = 0;/** Construct a circle with radius 1 */public Circle() {numberOfObjects++;}/** Construct a circle with a specified radius */public Circle(double newRadius) {radius = newRadius;_______________________;}/** Return radius */public double getRadius() {return radius;}/** Set a new radius */public void setRadius(double newRadius) {radius = (newRadius >= 0) ? newRadius : 0;}/** Return numberOfObjects */public static int getNumberOfObjects() {_______________________;}/** Return the area of this circle */public double getArea() {_______________________________;}} How do you find the maximum speed of emitted photoelectrons? if a business has $900 cash currently, $400 revenue each month going forward, and negative $300 profit each month going forward, how many months will it take for the business to run out of money? What is the point of dramatic irony? Can someone help me understand this question? Consider the mathematical sentence 2 3. Is there any variable or constant that you could add to or subtract from both sides, or multiply or divide both sides by using the Properties of Equality to make both sides equal? Choose variables and constants to create new mathematical sentences to justify your conclusion. A four-pole induction motor drives a load at 2549 rpm. This is to be accomplished by using an electronic converter to convert a 400-V dc source into a set of three-phase ac voltages. Part A Find the frequency required for the ac voltages assuming that the slip is 4 percent. Part B If the dc-to-ac converter has a power efficiency of 93 percent and the motor has a power efficiency of 80 percent, estimate the current taken from the dc source. What is a major characteristic of a theocratic government? ash flows from investing activities, it's important to review where a company's investment activity falls within its financial statements. There are three main financial statements: the balance sheet, income statement, and cash flow statement. Which of the following best describes an advantage of constructing habitat corridors?A. Corridors connect habitats separated by fragmentation and connect wildlife populations.B. Corridors prevent invasive species from traveling between protected habitats.C. Corridors provide a safe passage for vehicles and allow humans to travel within wildlife preserves.D. Corridors increase the amount of protected area that is not affected by humans. Do you have an experience that is similar to or related to the one described in the text? Write a narrative that describes your experience and includes relevant details and is clearly structured.article:ArtsHow The Nutcracker became a holiday classicSaveRead AloudSharePrintkids in costume do ballet onstageImage 1. Young dancers perform in the Moscow Ballet's staging of The Nutcracker.The ballet was first staged in the United States in 1944. Over the past 75 years, it has become a holiday tradition to see a performance. Photo courtesy of Moscow Ballet By Washington Post, adapted by Newsela staffPublished:12/11/2019Word Count:391There is a show called The Nutcracker. It was done for the first time in 1892 in Russia. Some people did not like it. Some said the fight part was bad. Others said the costumes were dull. The music writer called the show boring.One thing people loved was the music. Pyotr Ilyich Tchaikovsky wrote the music. His name is pronounced chai-kov-ski. People still love his music. Things changed over the years. People started to see The Nutcracker every year. The show tells the story of a nutcracker that comes to life on Christmas Eve. He fights the Mouse King. First BalletFor some children, it is their first ballet. Ballet is a kind of dance. Mr. Tchaikovsky might be surprised. People love The Nutcracker now. It has more shows than many other ballets.In the United States, people love the show. It is having its 75th anniversary in the U.S. The first whole show in America was in 1944.a portrait of an old white manZoom-inImage 2. The Russian composer Pyotor Tchaikovsky around 1890. Tchaikovsky lived from 1840 to 1893. He was the first Russian composer to establish a reputation with Western audiences. Photo by: Rischgitz/Getty ImagesMoscow Ballet is a group that does Great Russian Nutcracker. The group is traveling around North America. It will have shows in 144 places. The ballet group lets young dancers be in the show.Corbin Holloway is a young dancer. He is doing his sixth Nutcracker part with Moscow Ballet. His first one was when he was 7 years old. He had not started ballet classes then. Now he has a bigger part. He will dance in shows in Maryland.The Hardest DanceCorbin picked ballet because it was the hardest dance. He practices every day. Corbin can do full turns on one foot. He dances in big contests now.Lorraine Spiegler works at CityDance in Maryland. Corbin is a student there. Ms. Spiegler said Corbin is very good. Adley Strider is a young dancer. She said she found her love for ballet when she was 6 or 7 years old. She is from Virginia. Adley said she was not the best at ballet but she got better. She did not give up.Now she is 11 years old. Adley was in Moscow Ballet's shows in Virginia. Adley and Corbin think other kids will like The Nutcracker. An airline that wants to assess customer satisfaction chooses a random sample of 10 of its flights during a single month and asks all of the passengers on those flights to fill out a survey. This is an example of aA) Multistage sample.B) Stratified sample.C) Cluster sample.D) Simple random sample.E) Convenience sample