Select the correct answer.
Consider the function f(x) = 2 and function g.
g(x) = f(x) + 6
How will the graph of function g differ from the graph of function f?
O A.
OB.
O C.
O D.
The graph of function g is the graph of function f shifted 6 units up.
The graph of function g is the graph of function f shifted 6 units to the right.
The graph of function g is the graph of function f shifted 6 units to the left.
The graph of function g is the graph of function f shifted 6 units down.

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

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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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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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

The {x} - intercept and {y} - intercept for the given line is (-7.5, 0)

and (0, 5.5) respectively.

Given is a straight line plotted on the graph as shown in the image. We can say that {x} - intercept is the coordinate at which the line cuts the {x] - axis. Similarly, {y} - intercept is the coordinate at which the line cuts the {y] - axis.

From the graph given below, we can see that -

{x} intercept : (-7.5, 0)

{y} intercept : (0, 5.5)

Therefore, the {x} - intercept and {y} - intercept for the given line is (-7.5, 0)

and (0, 5.5) respectively.

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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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There are 30 different pairs that can be formed from the 6 men and 5 women.

The number of different mixed doubles tennis pairs can be calculated by multiplying the number of choices for the first player by the number of choices for the second player. For the first player, there are 6 men to choose from, and for the second player, there are 5 women to choose from. Therefore, the number of different mixed doubles tennis pairs is:

6 x 5 = 30

Therefore, there are 30 different pairs that can be formed from the 6 men and 5 women.

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The radius of the circle is approximately 286.26 meters.

We have,

We can use the formula for the length of an arc of a circle, which is:

s = r x [tex]\alpha[/tex]

where s is the arc length, r is the radius of the circle, and alpha is the central angle in radians.

To use this formula, we need to convert the central angle from degrees to radians.

We know that the circle has a central angle of alpha = 3,

so:

alpha (in radians) = (3/180) x π = 0.0524 radians

where π is the mathematical constant pi (approximately equal to 3.14159).

Now we can solve for the radius, r:

s = r x α

15 = r x 0.0524

r = 15 / 0.0524

r ≈ 286.26 meters

Therefore,

The radius of the circle is approximately 286.26 meters.

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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.

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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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

Karolina ran 1.66 miles on Wednesday.

It is given that Karolina ran 1.38 miles on Monday.

She ran 2.17 miles on Tuesday.

We have to find how many miles she ran on Wednesday.

Let she ran 'D' miles on Wednesday.

It is also given that Karolina ran total of 5.21 miles on Monday, Tuesday, and Wednesday.

According to information we can form an equation which is,

1.38 + 2.17 + x = 5.21

3.55 + x = 5.21

3.55 + x - 3.55 = 5.21 - 3.55 [Subtracting 3.55 from both sides]

x = 1.66

Hence Karolina ran 1.66 miles on Wednesday.

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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

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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There are 495 different ways in which a committee of 4 people can be formed from a group of 12 people in the baking club.

To solve this problem, we can use the combination method, which is a mathematical technique used to count the number of combinations that can be formed from a set of items. The formula for the combination method is:

ⁿCₓ= n! / (x! * (n-x)!)

Where n is the total number of items in the set, r is the number of items to be selected, and the exclamation mark denotes the factorial function. The factorial of a positive integer n is defined as the product of all positive integers up to and including n.

Now, let's apply the combination method to the problem at hand. We are given that there are 12 people in the baking club, including Mark, and we need to form an executive committee of 4 people. Using the formula above, we can calculate the number of possible committees as follows:

¹²C₄= 12! / (4! * (12-4)!)

= (1211109) / (4321)

= 495

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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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Answer:

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

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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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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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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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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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:

5.3

Step-by-step explanation:

The rate at which the circumference is growing when the water covers 50 ft is found to be at  0.019 ft/s.

The formula for the area of a circle is shown as  :

A = πr^2

where A = area

π = 3.142

r = radius

We will differentiate with respect to time, :

dA/dt = 2πrn xdr/dt

we have that dA/dt = 3 ft²/s

3 = 2π(25) x dr/dt

we calculate for  dr/dt,

dr/dt = 3/(50π) =  0.019 ft/s

In conclusion, if a person is making an ice rink by pouring water out of a hose. If water is spreading in a circular shape and the area covered by water grows with the rate of 3 ft?/sec, the rate at which the circumference is growing when the water covers 50 ft is found to be at  0.019 ft/s.

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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

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:

a=9

Step-by-step explanation:

a= 9/4 =36/4 = 9

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.