The diagram shows a sector of a circle defined by unknown angle x. The area of the sector
is equal to the area of the square. Find the measure of zx.
Express your answer to the nearest tenth of a degree.

Ellis has the following set of numbers ; 20, 9, 14, n, 18. if the median is 18. Then, the two options that could not be n are 20 and 21.

To find out which two of the given options could not be n, we need to first find the value of n.

If the median is 18, then n must also be 18 since the given set has an even number of terms.

So, we have: 20, 9, 14, 18, 18

Now, we can check each option to see if it could be n;

10 - This could be n. The new set would be; 20, 10, 14, 18, 18 and the median would be 18.

18 - This could be n. It is already in the set and the median is 18.

19 - This could be n. The new set would be; 20, 19, 14, 18, 18 and the median would be 18.

20 - This could not be n. If n = 20, then the set would be; 20, 9, 14, 20, 18 and the median would be 14.

21 - This could not be n. If n = 21, then the set would be; 20, 9, 14, 18, 21 and the median would be 18.

Therefore, the two options that could not be n are 20 and 21.

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The values of x and y of the given simultaneous equations are:

x = -2

y = 10

There are different methods of solving simultaneous linear equations such as:

Elimination Method

Substitution Method

Graphical Method

We are given the equations as:

-¹/₂x + ¹/₅y = 3  -----(1)

2x + ¹/₃y = -²/₃  -----(2)

Multiply eq 1 by 10 and eq 2 by 6 to get:

-5x + 2y = 30  -----(3)

12x + 2y = -4   ----(4)

Subtract eq 4 from eq 3 to get:

-17x = 34

x = -2

12(-2) + 2y = -4

-24 + 2y = -4

2y = 20

y = 10

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There are 480 ways to arrange the six people such that the two people do not sit side-by-side.

(a) There are 6 people and they want 2 specific people to sit together, so we can consider them as a single entity. This reduces the problem to arranging 5 entities (the group of 2 people and the remaining 4 individuals) in a row. The number of ways to do this is 5!, or 120 ways.

(b) If two people do not want to sit together, we can consider them as separate entities. This means that we have to arrange 6 entities in a row, but we cannot place the two people next to each other.

To count the number of ways to arrange the six people such that the two people do not sit side-by-side, we can use complementary counting. We first find the total number of ways to arrange the six people, which is 6!, or 720 ways.

Next, we count the number of arrangements where the two people sit side-by-side. We can treat them as a single entity and arrange the remaining 5 entities in a row, which can be done in 5! ways. However, since the two people can swap positions, we need to multiply by 2 to get the total number of arrangements where they sit side-by-side, which is

Finally, we subtract the number of arrangements where the two people sit side-by-side from the total number of arrangements to get the number of arrangements where they do not sit side-by-side:

Therefore, there are 480 ways to arrange the six people such that the two people do not sit side-by-side.

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Based on the information, it can be inferred that Sofia Carbondale had to pay $25,740 in total.

To calculate how much Sofia Carbondale had to pay, we must carefully look at the information in the graph and establish the value of the payments she must make. In the case of visits to specialists, she must pay the following:

Additionally, we must add the value of hospital charges and her visit to emergencies.

$100 + $24,560 + $1,080 = $25,740

Note: This question is incomplete. Here is the correct and complete information:

Attached images

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Answer:

64558

Step-by-step explanation:

add them together ;-;

Answer: 64558

Step-by-step explanation:

5+9=14

carry the 1,

64558

Answer:

Step-by-step explanation:

To determine the ordered pairs formed from combining a term in Pattern A with its corresponding term in Pattern B, we need to find the terms that have the same position in each pattern.

Pattern A: 1, 4, 7, 10, 13

Pattern B: 5, 13, 17, 17, 13

The ordered pairs formed by combining a term in Pattern A with its corresponding term in Pattern B are:

(1, 5)

(4, 13)

(7, 17)

(10, 17)

(13, 13)

Therefore, the correct answers are:

(10, 17)

(1, 5)

(7, 13)

(4, 13)

(13, 17)

Note that (1, 4) is not a correct answer, since 4 is not the corresponding term in Pattern B for the first term (1) in Pattern A.

The function that models the graduating ceremony is illustrated below.

First, let's define some variables to make our function more understandable. Let's call the total number of seniors graduating "n", the rate at which seniors walk across the stage "r" (in seniors per minute), and the time it takes for all seniors to walk across the stage "t" (in minutes).

Now, let's also take into account the speaking and music that lasts a total of 25 minutes. We can modify our function to include this by subtracting the time spent on speaking and music from the total time it takes for all seniors to walk across the stage:

function seniors_on_stage_with_music(n, r, t, music_time) {

 return Math.ceil(n / (r * t - music_time));

}

Here, we added an additional argument to our function called music_time, which represents the total time spent on speaking and music. We then subtract this from the total time it takes for all seniors to walk across the stage before dividing the total number of seniors by the result.

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Answer:

16

Step-by-step explanation:

let the center be O then OB=12,OG=12

and ΔROG is right angle triangle at G

Applying Pythagoras' theorem in ΔROG,

RO=RB+BO=8+12=20

∴GR²+OG²=RO²

x²+12²=20²

x²=400-144

=256

x=√256

=16

Answer:

Step-by-step explanation:A = 2 π r h + 2 π r 2

Answer:

Step-by-step explanation:

the options are not all shown.  It's not A   A is g(x)=2f(x)  it's a positive function with a stretch of 2    the answer will be like answer A but flipped along y-axis

Answer:

The answer for the Perimeter of the semi circle is 15.71cm

Step-by-step explanation:

Perimeter of semi circle =perimeter of circle/2

P=2pir/2

P=pir

r=d/2=10/2

r=5cm

P=pir

P=5pi

P=5×3.142

P=15.71cm

Answer:

Length is usually longer than width so the length of the rectangle is 9 inches and the width is 6 inches.

Answer:

a=9

Step-by-step explanation:

a= 9/4 =36/4 = 9

Answer:

The correct answer to 999x600+20 is 599,980. The calculation can be broken down as follows:

999 x 600 = 599,400

599,400 + 20 = 599,980 duh

Step-by-step explanation:

gg

Final Answer:

2j^2 - 2

Step-by-step explanation:

1. Apply the FOIL method to the equation:

(a + b) (c + d) => (2j + 2) (j - 1)

2. Distribute by using the formula: (ac +ad + bc + bd)

2j x j = 2j^2, 2j x -1 = -2j, j x 2 = 2j, 2 x -1 = -2.

3. Combine like terms: 2j^2 + 2j + -2j = 2j^2

4. SOLUTION: 2j^2 + 2

Therefore, the only claim that the interval would tend to refute is option E: The population mean is less than 125.

Based on the 90% confidence interval of 135 to 160, we can conclude that the population mean is likely to be within this interval with a 90% degree of confidence.

A. The claim that the population mean is more than 110 is not refuted by the confidence interval since the lower limit of the interval is above 110.

B. The claim that the population mean is less than 150 is not refuted by the confidence interval since the upper limit of the interval is above 150.

C. The claim that the population mean is between 140 and 150 is not refuted by the confidence interval since both values are within the interval.

D. The claim that the population mean is more than 140 is not refuted by the confidence interval since the lower limit of the interval is above 140.

E. The claim that the population mean is less than 125 is refuted by the confidence interval since the lower limit of the interval is above 125.

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The null hypothesis (H0) is that there is no significant difference in productivity between the four programs. The alternative hypothesis (Ha) is that at least one of the programs results in a significantly higher productivity than the others.

Based on the information provided, we can state the null and alternative hypotheses for the Ahmadi Corporation's productivity study:

Null Hypothesis (H0): There is no significant difference in productivity among the four different programs.

Alternative Hypothesis (H1): There is a significant difference in productivity among the four different programs.

In this case, the "sample" refers to the twenty employees who were randomly assigned to one of the four programs. The "null" hypothesis represents the assumption that there is no effect of the programs on productivity, while the "alternative" hypothesis suggests that at least one of the programs has a significant impact on productivity.

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Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

Volume is a measure of the amount of space that a three-dimensional object occupies or contains. It is typically measured in cubic units, such as cubic meters, cubic centimeters, or cubic feet.

In the given question,

The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base, h is the height, and π is approximately 3.14.

Substituting the given values, we get:

V = (1/3) × 3.14 × 3² × 3.8

V ≈ 35.63

Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

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The distance between to ships at noon on that particular day is 47 miles, under the condition that One ship travels at north 53° west at 11 mph and the other travels at  south 67° west at 17 mph.

To calculate their distance at noon, we need to evaluate their positions at noon first.

Let us consider that the port is placed at the origin of a coordinate system.
The ship that moving at a bearing of north 53° west is moving towards the second quadrant of the coordinate system. The angle between its path and the x-axis is 180° - 53° = 127°.
Then, its velocity vector can be represented as (-11cos(127°), 11sin(127°)) mph.

The other ship moving  at a bearing of south 67° west , it's moving towards the third quadrant of the coordinate system. The angle between its path and the x-axis is 180° + 67° = 247°.
Then, its velocity vector can be represented as (-17cos(247°), -17sin(247°)) mph.

Let us consider  that both ships leave from the port at 9 AM and travel for three hours until noon. Their positions at noon can be evaluated by adding their respective velocity vectors multiplied by three hours to their initial positions at  (0,0).

The position of the first ship at noon is
(-11cos(127°) × 3, 11sin(127°) × 3)
= (-29.7, -13.6)

The position of the second ship at noon is
(-17cos(247°) × 3, -17sin(247°) × 3)
= (12.8, -35.5)

Now we have to implement distance formula
distance = √((x2 - x1)² + (y2 - y1)²)
distance = √((12.8 + 29.7)² + (-35.5 + 13.6)²)
distance ≈ 47 miles

Hence, approximately 47 miles  difference in distance between the two ships at noon that particular day.

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If kayaker traveled 4 5/6 miles during his first hour and 1 1/3 more than that his second hour, the kayaker traveled 8 1/18 miles in two hours.

To find out how far the kayaker traveled in two hours, we need to add the distance traveled in the first hour to the distance traveled in the second hour.

First, we need to convert the mixed numbers to improper fractions to make the addition easier:

4 5/6 = (6 x 4 + 5) / 6 = 29/6

1 1/3 = (3 x 1 + 1) / 3 = 4/3

Then, we can add the two fractions:

29/6 + (29/6 + 4/3)

To add these fractions, we need to find a common denominator, which is 6 for the first fraction and 18 for the second fraction:

29/6 + (29/6 + 4/3) = (87/18) + (58/18)

Now we can add the two fractions with the same denominator:

(87/18) + (58/18) = 145/18

Finally, we can simplify the fraction to a mixed number:

145/18 = 8 1/18

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Answer:

108 students

Step-by-step explanation:

First, we need to determine the percent that is documentaries.

The total must be 100%

14+22+20+20 + d = 100

76+d = 100

d = 100-76

d = 24

The percent that is documentaries is 24%

Multiply 24% by 450 middle school students.

.24 * 450

108

The derivative of the function is[tex](x - 8)x^{(x - 7)}[/tex].

The pace at which the function is altering in relation to its input variable, frequently written as x, is the derivative. Geometrically, the slope of the tangent line to a function at a particular location can be used to understand the derivative of a function.

By the use of the chain rule;

[tex]dy/dx = dy/du * du/dx\\Let y = x^u\\dy /dx = ux^u-1\\dy/du = 1[/tex]

Hence;

[tex]dy/dx = ux^u-1 * 1\\dy/dx = (x - 8)x^(x - 8) - 1\\dy/dx = (x - 8)x^(x - 7)\\[/tex]

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Answer: 4 yards

Step-by-step explanation:

      The diameter is equal to the radius times 2.

      We will multiply the given radius by 2 to find the diameter.

                    2 yards * 2 = 4 yards

Answer: 4 yards

Step-by-step explanation: Since the radius is half of the circle, you multiply it by two to get the diameter.

The equation of the circle passing through the point (-6, 3) having center at (5, - 4) is (x - 5)² + (y + 4)² = 170

The general equation of a circle with (h, k) representing the circle's center, and {r} represents the length of its radius is

(x – h)² + (y – k)² = r²

We can write the equation of the circle as -

(x – h)² + (y – k)² = r²

(x - 5)² + (y + 4)² = (11)² + (-7)²

(x - 5)² + (y + 4)² = 121 + 49

(x - 5)² + (y + 4)² = 170

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Answer:

5.3

Step-by-step explanation:

Based on the information given line A is x to infinity, y to infinity, while line B is x to infinity, y to negative infinity.

Let's start by analyzing the functions provided, to understand what happens with the y-coordinate as the x-coordinate moves:

Line A: y = 3x + 5

In this case, y and x are proportional, which means both will increase in the same direction and have an infinity behavior,

Line B: y= -6x +1

In this case, due to x being negative it is expected y becomes negative to infinity.

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The cylinder popcorn container will hold the most popcorn and the cone popcorn container has a better unit rate

For the cone, we have

Radius, r = 6 cm

Height, h = 19 cm

So, the volume is

V = 1/3 * 3.14 * 6^2 * 19

V = 715.92

For the cylinder, we have

Radius, r = 4 cm

Height, h = 15 cm

So, the volume is

V = 3.14 * 4^2 * 15

V = 753.6

The cylinder popcorn container will hold the most popcorn because it has a higher volume

For the cone, we have

Unit rate = 715.92/6.75 = 222222

For the cylinder, we have

Unit rate = 753.6/6.25 = 120.576

The container that has a better unit rate is the cone popcorn container

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C) Normal As the degrees of freedom for the numerator and denominator gets large, the sample size increases, the F-distribution approaches the Normal distribution.

What happens when the sample size is increased?

As sample numbers value rise, the diversity of each sampling distribution diminishes, making them more leptokurtic. The sample distribution's range is narrower than the original population's range.

Fisher devised the F-distribution to analyze the behavior of two variances from random samples drawn from two separate normal populations.

Based on the responses of random samples, we may be interested in understanding if the population variances are equal in applicable issues.

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The simplest form is defined as the smallest possible equivalent fraction of the number. To simplify a fraction, we should divide the top and bottom by the greatest number. 2 2/3 / 1 4/5 in simplest terms is 11 / 105.

The fraction is said to be in the simplest form, when the numerator and denominator of the fraction does not have any common factor.

2 2/3 / 1 4/ 5 = 8 / 3 × 5 /9 = 40 / 27

Thus 2 2/3 / 1 4/5 in simplest terms is 40 / 27.

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