What is the meaning of "R is a relation on X if \(R\subset X^{n}\)"?

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer

In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.

Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.

Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$

Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$

Therefore, $x=y=12\sqrt{3}$, which is our answer.

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The possible values of x are 51% < x < 59%.

When you are given various values, the range of those values is how big the difference is between the largest value and the smallest value. In other words, the range is what you get when you subtract the smallest value in the group from the largest value in the group.

Its possible values are 1, 2, 3, 4, 5, and 6; each of these possible values has a probability of 1/6. 4. The word “random” in the term “random variable” does not necessarily imply that the outcome is completely random in the sense that all values are equally likely.

Let K represent Kofi

1st paper = 45/100

2nd paper = x / 100

Mean score = ( 45 + x ) % / 2

The possible range of x = 48% < (45+X)/2 < 52%

Cross multiplying

96% < 45 + x < 104%

Subtract 45 from both sides

Range = 51% < x < 59%

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Answer:

-4

Step-by-step explanation:

The statistical test that can be used for the given statements is; the goodness-of-fit test

1) For the archeologist story, the goodness-of-fit test is the best and most relevant test that can be applied because the archaeologist wishes to determine if her prediction was correct by comparing the actual number of artefacts recovered in each grid section to the expected frequencies.

2)  The economist generates a list of expected stock market index points for the next two weeks, as well as the actual points at the end of each trading day. The economist then compares the actual and expected points to ensure that the model he constructed is accurate. As a result, economists can use the goodness-of-fit test in this study.

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Answer:

sin(100°) = 0.985

sin(-100°) = -0.985

Step-by-step explanation:

In a unit circle, each point (x, y) on the circumference corresponds to the coordinates (cos θ, sin θ), where θ represents the angle formed between the positive x-axis and the line segment connecting the origin to the point (x, y).

Therefore, sin(100°) equals the y-coordinate of the point (-0.174, 0.985), so:

\(\boxed{\sin(100^{\circ}) = 0.985}\)

Similarly, sin(-100°) equals the y-coordinate of the point (-0.174, -0.985), so:

\(\boxed{\sin(-100^{\circ}) = -0.985}\)

In the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

The value of the sine of the angles is calculated by applying the following formula as follows;

The value of sin (100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, 0.985) as given on the coordinates of the unit circle.

sin (100) = 0.985

The value of sin (-100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, -0.985), as given on the coordinates of the circle.

sin (-100) = -0.985

Thus, in the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

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The function g(x) in the form a(x-h)^2 + k is: \(g(x) = (x + 2)^2 - 4\)

Starting with\(f(x) = x^2\), the translation 2 units left and 4 units down would result in the following transformation:

g(x) = f(x + 2) - 4

Substituting\(f(x) = x^2:\)

\(g(x) = (x + 2)^2 - 4\)

Expanding the square:

\(g(x) = x^2 + 4x + 4 - 4\)

Simplifying:

\(g(x) = x^2 + 4x\)

Now we need to rewrite this expression in the form \(a(x-h)^2 + k.\) To do this, we will complete the square:

\(g(x) = x^2 + 4x\\g(x) = (x^2 + 4x + 4) - 4\\g(x) = (x + 2)^2 - 4\)

Therefore, the function g(x) in the form a(x-h)^2 + k is:

\(g(x) = (x + 2)^2 - 4\)

Where a = 1, h = -2, and k = -4.

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Answer: B

Step-by-step explanation:

e2020

The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.

To draw a model showing what percent of 500 lanterns Ms. Duda's class hangs before lunch, we can use a rectangular bar model.

Draw a rectangular bar to represent the total number of lanterns, which is 500. Label it as "Total Lanterns."

Divide the rectangular bar into two parts. One part should represent the number of lanterns hung before lunch, which is 100. Label this section as "Lanterns Before Lunch."

Calculate the percentage of lanterns hung before lunch by dividing the number of lanterns hung before lunch by the total number of lanterns and multiplying by 100. In this case, (100/500) * 100 = 20%.

Draw an arrow pointing to the "Lanterns Before Lunch" section, and write "20%" next to it to represent the percentage.

The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.

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The probability of landing on the dark blue target is 2/5.

Probability is the ratio of required to the total possible outcomes of an event.

P(dark blue ) = 40/100

divide through by 20

P(dark blue ) = 2/5

Therefore, the probability of landing on target is 2/5

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Answer:

60 miles

Step-by-step explanation:

Since 1 inch on the map equals 20 miles, you just have to multiply 3 by 20.

3x20=60

Answer:

all real numbers

Step-by-step explanation:

you can create any value for y with a value for x, hence the range is "everything".

Answer:

All real numbers

Step-by-step explanation:

The answer would be C - "Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20."

also "get it right please" ?! how rude

The new endpoints of the line segment after reflection are (2, 9) and (1, -3).

A point's position or location in space is described by a set of numbers or values known as coordinates. The Cartesian coordinate system, which employs two or three perpendicular axes to locate a point, is the most widely used coordinate system in mathematics.

The line y = z represents the line that passes through all points where the y-coordinate equals the z-coordinate. To reflect a point across this line, we can swap its y-coordinate with its z-coordinate.

The two endpoints of the given line segment are (9, 2) and (-3, 1). To reflect these points across the line y = z, we need to swap the y-coordinate with the z-coordinate for each point. This gives us:

(2, 9) for the first endpoint (9, 2)

(1, -3) for the second endpoint (-3, 1)

Therefore, the new endpoints of the line segment after reflection are (2, 9) and (1, -3).

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After reflection, the line segment's new endpoints are (2, 9) and (1, -3).

Coordinates are a set of numbers or values that describe the position or location of a point in space. The most common coordinate system in mathematics is the Cartesian system, which uses two or three perpendicular axes to locate a point.

The line y = z denotes the path that connects all locations where the y- and z-coordinates are equal. We can swap a point's y and z coordinates to reflect it over this line.

(9, 2) and are the two endpoints of the provided line segment. (-3, 1). We must replace each point's y-coordinate with its z-coordinate in order to represent these spots over the line y = z. This results in:

(2, 9) for the first endpoint (9, 2)

(1, -3) for the second endpoint (-3, 1)

As a result, the line segment's new endpoints following reflection are (2, 9) and (1, -3).

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Answer: 1134.11

A=3.14*r^2

Step-by-step explanation:

Answer:

a ≈ 1134.11 cm2

Step-by-step explanation:

The formula:

\(a=\pi r^{2}\)

\(a=\pi (19)^{2} =361\pi\)

\(a=1134.11cm^{2}\)

Hope this helps

The cost of each pound of grass seed is $6.

A graph of the solution for the cost of each pound of grass seed is shown below.

In order to determine the cost of each pound of grass seed, we would assign a variable to the cost of each pound of grass seed and then translate the word problem into an algebraic linear equation.

Let the variable x represent the cost of each pound of grass seed.

Since Lori bought 3.6 pounds of grass seed and she was charged $22.90, including a tax of $1.30, an algebraic linear equation that best represent this situation is given by;

3.6x + 1.30 = 22.90

3.6x = 22.90 - 1.30

3.6x = 21.60

x = 21.60/3.6

x = $6.

In conclusion, we would sue an online graphing calculator to plot the solution for the cost of each pound of grass seed as shown in the image attached below.

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The factor of f(x) is (x + 9) and (x - 7+i).

Given that,

polynomial function f(x) has roots -9 and 7 - i.

So we can write this as

x = -9 and x = 7 - i

implies that

x + 9 = 0 and x -7 + i = 0

Therefore the factors of f(x) is (x+9) and (x-7+i).

A factor is a number that divides another number, leaving no remainder.

A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.

Polynomial functions are expressions that may contain variables of varying degrees, non-zero leading coefficients, positive exponents, and constants.

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Correct option will be (C) In the short run, firms may incur economic losses or earn economic profits, but in the long run they earn normal profits.

The short run is a concept that states that, within a certain period in the future, at least one input is fixed while others are variable. In economics, it expresses the idea that an economy behaves differently depending on the length of time it has to react to certain stimuli. The short run does not refer to a specific duration of time but rather is unique to the firm, industry or economic variable being studied.

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Answer:

Here are the aswers

Step-by-step explanation:

jackson=618

leslie=587

I hope this helps?!?

The triangle lines of symmetry are 60 degrees apart option (A) 60 degrees is correct.

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

As we know,

The act of using mathematics to address issues in the actual world is known as mathematical thinking.

As the pentagon has 5 sides and 5 lines of symmetry.

The pentagon's lines of symmetry are apart 72(360/5) degrees apart.

Similarly in the triangle, the sum of the interior angle is 180 degrees

The triangle lines of symmetry are 60(180/3) degrees apart.

Thus, the triangle lines of symmetry are 60 degrees apart option (A) 60 degrees is correct.

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Answer:

\(x = 0.25\)

Step-by-step explanation:

Given

\(Cost\ Price = 6 + x\)

\(Discount =8\%\)

\(Amount\ Paid = R6 - x\)

Required

Find x

First, we calculate the amount paid in terms of the cost price.

This is calculated using:

\(Amount\ Paid = Cost\ Price * (100\% - Discount)\)

\(Amount\ Paid = (6 + x) * (100\% - 8\%)\)

\(Amount\ Paid = (6 + x) * 92\%\)

Express as decimal

\(Amount\ Paid = (6 + x) * 0.92\)

Open bracket

\(Amount\ Paid = 5.52 + 0.92x\)

So, we have:

\(Amount\ Paid = 5.52 + 0.92x\) and

\(Amount\ Paid = R6 - x\) ---- given

Equate both

\(6 - x = 5.52 + 0.92x\)

Collect like terms

\(- x -0.92x= 5.52-6\)

\(-1.92x= -0.48\)

\(1.92x= 0.48\)

Solve for x

\(x = \frac{0.48}{1.92}\)

\(x = 0.25\)

We can use the logarithmic identity log_a(b) + log_a(c) = log_a(bc) to simplify the left side of the equation:

log_2(x) + log_4(x+1) = log_2(x) + log_2((x+1)^(1/2))

Using the rule log_a(b^c) = c*log_a(b), we can simplify further:

log_2(x) + log_2((x+1)^(1/2)) = log_2(x(x+1)^(1/2))

Now we can rewrite the equation as:

log_2(x(x+1)^(1/2)) = 3

Using the rule log_a(b^c) = c*log_a(b), we can rewrite this as:

x(x+1)^(1/2) = 2^3

Squaring both sides, we get:

x^2 + x - 8 = 0

This is a quadratic equation that can be solved using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 1, b = 1, and c = -8. Plugging in these values, we get:

x = (-1 ± sqrt(1^2 - 4(1)(-8))) / 2(1)

x = (-1 ± sqrt(33)) / 2

x ≈ -2.54 or x ≈ 3.54

However, we must check our solutions to make sure they are valid. Plugging in x = -2.54 to the original equation results in an invalid logarithm, so this solution is extraneous. Plugging in x = 3.54 yields:

log_2(3.54) + log_4(4.54) = 3

0.847 + 0.847 = 3

So x = 3.54 is the valid solution to the equation.

P(A and B) is equal to 6.

To find P(A and B), we can use the formula:

P(A and B) = P(A) + P(B) - P(A U B)

Given the information:

P(A U B) = 32 (the probability of either event A or event B occurring)

Universal set contains 52 elements (total number of possible outcomes)

P(A intersection B) = 6 (the probability of both event A and event B occurring)

P(A) = 12 (the probability of event A occurring)

P(B) = 26 (the probability of event B occurring)

We can substitute the known values into the formula:

P(A and B) = P(A) + P(B) - P(A U B)

P(A and B) = 12 + 26 - 32

Simplifying the expression:

P(A and B) = 38 - 32

P(A and B) = 6

Therefore, P(A and B) is equal to 6.

The result indicates that the probability of both event A and event B occurring simultaneously is 6 out of the total number of possible outcomes in the universal set. It means that out of the 52 elements in the universal set, 6 of them satisfy the conditions of both A and B.

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Fifth power of the given transition matrix is (0.22 0.12 0.14 0.14 0.34) and  the probability that state 2 changes to state 4 after five repetitions of the experiment is 0.14.

To find the fifth power of the matrix A, we can simply multiply A by itself five times:

A^5 = A * A * A * A * A

= (0.4 0.1 0.1 0.2 0.2) * (0.2 0.1 0.2 0.1 0.4) * (0.4 0.1 0.1 0.2 0.2) * (0.2 0.1 0.2 0.1 0.4) * (0.4 0.1 0.1 0.2 0.2)

= (0.22 0.12 0.14 0.14 0.34)

To find the probability that state 2 changes to state 4 after five repetitions of the experiment, we need to look at the element in the fifth power matrix A^5 that corresponds to state 2 and state 4. This element is located in the second row and fourth column of the matrix, which is 0.14.

Therefore, Fifth power of the given transition matrix is (0.22 0.12 0.14 0.14 0.34) and the probability that state 2 changes to state 4 after five repetitions of the experiment is 0.14.

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A^5 = A * A * A * A * A

= (0.4 0.1 0.1 0.2 0.2) * (0.2 0.1 0.2 0.1 0.4) * (0.4 0.1 0.1 0.2 0.2) * (0.2 0.1 0.2 0.1 0.4) * (0.4 0.1 0.1 0.2 0.2)

= (0.22 0.12 0.14 0.14 0.34)

Therefore, Fifth power of the given transition matrix is (0.22 0.12 0.14 0.14 0.34) and the probability that state 2 changes to state 4 after five repetitions of the experiment is 0.14.

Answer:

Step-by-step explanation:

The solution to the equations are b = 15, b = 22, c = 21 and n = 28

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

31 - b = 16

28 + b = 50

33 + c = 54

52 - n = 24

Next, we collect the like terms in each of the equation

This gives

b = 31 - 16

b = 50 - 28

c = 54 - 33

n = 52 - 24

Lastly, we evaluate the like terms

b = 15

b = 22

c = 21

n = 28

The above are the solutions to the equations

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Question

Solve the following equations:

31 - b = 16

28 + b = 50

33 + c = 54

52 - n = 24

Answer:

12x+40

Step-by-step explanation:

A=l*w

A=20(3/5x+2)

A=4*3x+20*2

A=12x+40

Answer:

\( = 12x + 40\)

Step-by-step explanation:

\(area = l \times b \\ = 20 \times (\frac{3}{5} x + 2) \\ = \frac{60x}{5} + 40 \\ = 12x + 40\)

hope this helps

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Answer:

108

Step-by-step explanation:

Using the distributive property to solve 12 × 9:

1. Multiply 9 × 10:

Multiplying with 10 is easy. Just add a zero to the end of the number it's being multiplied by!

9 × 10 = 90

2. Multiply 9 × 2:

Multiplying by 2 is the same as adding the other number to itself.

9 × 2 = 9 + 9

9 + 9 = 18

3. Add the products:

90 + 18 = 108

Footnote: Writing the equation another way to show the distributive property would look like this:

12 × 9 = 9(10 + 2)

Answer:

No

Step-by-step explanation:

I don't think it is proportional

Here it is not proportional.

What is proportional?

Proportional relationships are relationships between two variables where their ratios are equivalent.

Another way to think about them is that, in a proportional relationship, one variable is always a constant value time the other.

Here given that,

\(y=-\frac{5}{9x}\)

Here it is not proportional.

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Answer:

480 push-ups

Step-by-step explanation:

40 times 12 = 480

or

80 times 6 =480

Number of pushups that can be completed in 5 minutes = 40

Number of pushups that can be completed in 1 minute :-

\( = \frac{40}{5} \)

\( = 8\)

So , 8 pushups can be completed in one minute .

1 hour = 60 minutes

Number of pushups that can be completed in 1 hour :-

= 8 × 60

= 480 pushups .

Therefore , I can complete 480 pushups in one hour .