Please help me quick!!! I'll give brainliest.

Answer:

(x, y) ⟶ (−x, −y); A′ is at (5, −1)

Step-by-step explanation:

When you rotate a point 180° about the origin, it travels along the circumference of a circle and ends up in a diagonally opposite location.

The x and y values of its coordinates become the negatives of the original values.

The rule is

(x,y) ⟶ (-x,-y)

If the coordinates of A are (-5,1),

The coordinates of A' are (5,-1).

The figure below shows the graph or your rectangle and its rotated image.

Answer:

(x, y) ⟶ (−x, −y); A′ is at (5, −1)

Step-by-step explanation:

just took the FLVS test and got a 100% :)

Step-by-step explanation:

Let x be the price of an adult ticket.

Then 0.5x is the price of a child ticket.

We have 2x + 4(0.5x) = £152, therefore 4x = £152 and x = £38.

Hence the price of an adult ticket is £38.

Answer:

Step-by-step explanation:

2a+4c=152

2c=a

4c+2a=152

2c-a=0

Use simultaneous equation

Substitute 2c=a

                  c=a divided by 2 in the first equation and find value of a and c

For any positive integer m, 4((4 + 17 * 29 * m)^2) + 1 is divisible by both 17 and 29. This proves the existence of infinitely many positive integers n satisfying the given condition.

To prove that there are infinitely many positive integers n such that 4n^2 + 1 is divisible by both 17 and 29, we can use the concept of congruences. Let's find the smallest positive integer n for which 4n^2 + 1 is divisible by 17 and 29.

We start by solving the congruences:
4n^2 + 1 ≡ 0 (mod 17) and 4n^2 + 1 ≡ 0 (mod 29)

By trial and error, we find that n = 4 satisfies both congruences. Thus, 4(4^2) + 1 = 65 is divisible by both 17 and 29. Now, let's use the property that if a number k is divisible by two coprime numbers a and b, then it is also divisible by their product (ab).

Since 65 is divisible by both 17 and 29, we can say 65 | 17 * 29.

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The numbers of books which must be there such that no book is left to be packed by Musoni and Mary is 45 or multiple of 45.

Since Musoni packs the books in the boxes in the group of 15 books each and Mary does packing in the form of 9 books in one box, so the minimum number of books which can be packed such that no book is left unpacked by either of the two people can be calculated by determining the LCM (Lowest Common Multiple) of 15 and 9.

To calculate the LCM, the steps are first determining the prime factors and then multiplying it.

Prime factor of 9 = 3 × 3

Prime factor of 15 = 3 × 5

LCM of 15 and 9 = 5 × 3 × 3 = 45

Hence, least number of books which can be packed properly by both of them will be 45 and the maximum number can be determined as the multiple of 45.

To carry 45 books, Musoni will require 3 boxes and Mary will require 5 boxes each.

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The data described is a combination of both nominal and ordinal data. In the first round of the spelling bee is nominal data, and in the last round of the spelling bee is ordinal data.

The first round of the spelling bee is nominal data as it is a categorical variable that describes the order in which the participants ranked in that round. The first round did not have a specific rank or order, it was simply a categorical grouping. However, the last round of the spelling bee is an example of ordinal data as it is based on a specific order or rank. The participant came in first place in the last round, which is an example of ordinal data.

Ordinal data is a type of data that represents a specific order or ranking, while nominal data represents a categorical grouping. In the context of the spelling bee, the first round is an example of nominal data because it is simply a grouping of participants who performed in a certain way. In contrast, the last round of the spelling bee is an example of ordinal data because it involves a specific ranking or order that the participants achieved.

As it involves both categorical groupings and specific rankings. Understanding the difference between nominal and ordinal data is important when analyzing and interpreting data, as it can affect the statistical methods and techniques used to analyze the data.

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Uncontrollable factors can have an effect on the result of a scenario or experiment. Here are a few strategies for dealing with such factors:

Recognize the variables, Reduce the impact, Randomization, Statistical analysis, Concentrate on what you can control.

Recognize the variables: The first stage is to identify the uncontrollable elements and acknowledge their possible effect on the result. This allows you to plan for unexpected events and alter your expectations accordingly.

Reduce the impact: Even if you can't control the circumstances, you can reduce their influence by taking particular activities. For example, if weather conditions may have an impact on the result of an outdoor event, you may want to arrange it during a more favourable time of year.

Randomization: When dealing with uncontrolled elements in a scientific experiment, randomization can assist in evenly distributing the impact of these factors among multiple groups.

Statistical analysis: In data analysis, statistical analysis can help to account for the impact of uncontrollable factors. Statistical models can provide more accurate estimates of the influence of a given variable by controlling for other variables and accounting for the variability produced by uncontrolled factors.

Concentrate on what you can control: In many circumstances, it is more productive to focus on what you can control than than fretting about what you can't. You may be able to mitigate the effects of uncontrollable elements to some extent by recognising and maximising the controllable factors.

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The factor of the polynomial is (√5x - i√2)(√5x + i√2)(x + 4).

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Given

5x³ + 20x³ + 2x +8 is a polynomial.

The factor of the polynomial.

5x³ + 20x³ + 2x +8 is a polynomial.

Take common, we get

5x²(x + 4) + 2(x + 4)

(5x² + 2) (x + 4)

[(x√5)² - (i√2)](x + 4)

(√5x - i√2)(√5x + i√2)(x + 4)

Thus, the factor of the polynomial is (√5x - i√2)(√5x + i√2)(x + 4).

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Answer:

> Option D, or (5x2 + 2) (x + 4), is the correct choice.

Step-by-step explanation:

> This is the only correct answer choice for this equation.

Answer:

8

Step-by-step explanation:

4 and jacob has 4. v. ...................

hola como estas espero que bien y que te hice el deposito de

The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.

The condition for destructive interference at the first dark fringe can be found using the path difference between the two waves.

For the first dark fringe, the path difference between the two waves that pass through the edges of the slit must be half a wavelength:

Δx = λ/2

where Δx is the path difference and λ is the wavelength of the light.

The path difference Δx can be related to the width of the slit w and the angle θ that the diffracted wave makes with the central axis of the slit by:

Δx = w sin(θ)

Therefore, the condition for the first dark fringe can be expressed as:

w sin(θ) = λ/2

The condition for the first dark fringe through a single slit of width w is given by w sin(θ) = λ/2.

This means that if the width of the slit and the wavelength of the light are known, the angle θ at which the first dark fringe occurs can be calculated.

This condition arises due to the interference of the diffracted waves from the edges of the slit. When the path difference between these waves is equal to half a wavelength, the waves interfere destructively and produce a dark fringe.

The first dark fringe is observed at the angle θ for which the path difference between the waves passing through the edges of the slit is equal to λ/2.

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The image will be similar to the original figure. The correct answer is OB) Yes; any number of rigid transformations and dilations will always produce an image similar to the preimage.

A translation, reflection, and dilation are all examples of rigid transformations, which means that they preserve the shape and size of the figure.

A dilation is also a similarity transformation, which means that it scales the figure uniformly in all directions from a fixed center. The result of applying these three transformations to a figure will be a figure that is similar to the original, but possibly rotated or reflected.

Therefore, the correct option is OB).

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There are 3900 ways to elect people to the positions of president, vice-president, and secretary.

In this problem, we can use the multiplication rule of counting which states that "if an operation can be performed in m ways and a second operation can be performed in n ways, then the two operations can be performed in m x n ways." Here, since no person can hold more than one office, we can consider the elections for each position independently.

President: There are 10 people running for this position. Thus, we can choose the president in 10 ways. Vice-President: Since the person who has been chosen as the president cannot hold any other position, we can choose the vice-president in 19 ways. Secretary: Since the two people who have been elected as president and vice-president cannot hold any other position, we can choose the secretary in 18 ways. Therefore, by the multiplication rule of counting, the total number of ways in which these people can be elected to these positions is 10 x 19 x 18 = 3,900 ways.

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Identify the type I error:

C. Reject the null hypothesis that the percentage of adults who have job is greater than 88% when that percentage is actually greater than 88%.

Identify the type II error:

C. Fail to reject the null hypothesis that the percentage of adults who have a job is greater than 88% when the percentage is actually equal to 88%.

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Answer:

P( 7 doughnuts or hot chocolate)=0.40

Step-by-step explanation:

From the question we are told that

Total number of plates \(n=10\)

1)Generally the probability that you get 7 doughnuts and hot chocolate is mathematically given as

7 doughnuts and hot chocolate= 1 slot

Therefore

P( 7 doughnuts and hot chocolate)= 1/10

P( 7 doughnuts and hot chocolate)= 0.10

2)Generally the probability that you get 7 doughnuts or hot chocolate is mathematically given as

P( 7 doughnuts or hot chocolate)=P(7 doughnuts)+P(hot chocolate)-P( 7 doughnuts and hot chocolate)

1 plates contains 7 doughnuts

P(7 doughnuts)=1/10

P(7 doughnuts)=0.10

4 plates contain hot chocolate

P(hot chocolate)=4/10

P(hot chocolate)=0.4

7 doughnuts and hot chocolate= 1 slot

P( 7 doughnuts and hot chocolate)= 1/10

P( 7 doughnuts and hot chocolate)= 0.10

Therefore

P( 7 doughnuts or hot chocolate)=0.10+0.4-0.10

Therefore

P( 7 doughnuts or hot chocolate)=0.40

The probability of getting 7 doughnuts or hot chocolate is 0.4

The Values that make an equivalent number sentence are: x^2 + 13x = 157/4

The square for the quadratic equation x^2 + 13x = -3, we can follow these steps:

1. Move the constant term (-3) to the other side of the equation:

  x^2 + 13x + 3 = 0

2. To complete the square, we need to take half of the coefficient of x, square it, and add it to both sides of the equation:

  x^2 + 13x + (13/2)^2 = -3 + (13/2)^2

  Simplifying further:

  x^2 + 13x + 169/4 = -3 + 169/4

3. Combine the constants on the right side:

  x^2 + 13x + 169/4 = -12/4 + 169/4

  Simplifying further:

  x^2 + 13x + 169/4 = 157/4

4. The left side of the equation is now a perfect square trinomial, which can be factored as:

  (x + 13/2)^2 = 157/4

Now we have an equivalent number sentence after completing the square: (x + 13/2)^2 = 157/4.

Therefore, the values that make an equivalent number sentence are:

x^2 + 13x = 157/4

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1. Inscribed angle DGE is 42 degrees, 2. Arc CD measures 51 degrees, 3.  Angle P and angle R each measure (5x+20) degrees, and angle Q and angle S each measure (180-sum of other two angles), 4. Angle PRQ measures 31 degrees, 5. The circumference of the Ferris wheel is 50π feet (or approximately 157.08 feet if rounded to two decimal places).

Inscribed angles in a circle are half the measure of the arc they cut, and kite angles can be found by subtracting the sum of the other angles from 180. Circumference of a wheel is found using C = 2 * pi * r, where r is the radius.

1. Let's say that point E is the center of the circle. If the measure of arc DE is 84 degrees, then angle DGE is half of that, or 42 degrees. So the measure of the inscribed angle DGE is 42 degrees.

2. In a circle, the measure of an arc is equal to the measure of its central angle. So, if the central angle CAD is 51 degrees, then the measure of arc CD is also 51 degrees.

3. To find the angle measures of kite PQRS, we need to find the sum of the measures of angle P and angle S. Let's call the measure of angle P (5x + 20) degrees, and the measure of angle Q (10x) degrees. Then, the measure of angle R (7x - 8) degrees, and the measure of angle S is equal to 180 - (5x + 20) - (10x) - (7x - 8) = 180 - 22x - 28 = 152 - 22x degrees. So, the sum of the measures of angle P and angle S is (5x + 20) + (152 - 22x) = 177 - 17x degrees.

4. In a tangent-secant segment, the measure of the angle between the tangent and the secant is equal to half the measure of the arc it cuts. Since the measure of angle PQR is 59 degrees and PR is a tangent-secant segment, the measure of angle PRQ is half of 59 degrees, or 29.5 degrees.

5. To find the circumference of the Ferris wheel, we need to use the formula for circumference: C = 2 * pi * r, where r is the radius of the wheel. The diameter of the wheel is 50 feet, so the radius is 50 / 2 = 25 feet. Substituting this into the formula, we get: C = 2 * pi * 25 = 50 * pi feet.

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The solutions of the given equation are x=4 and x=-4. Therefore, options B and E are the correct answers.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The given quadratic equation is x²-16=0.

Here, x²=16

x=±√16

x=±4

So, the solutions are x=4 and x=-4.

Therefore, options B and E are the correct answers.

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The amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

As per the given problem:

Amount deposited = $60.00

Interest rate per year = 9%

The formula for calculating the interest is given by:

Interest = (Principal × Rate × Time)/100

Where Principal is the initial amount invested or deposited

Rate is the percentage of interest that you earn per annum

Time is the duration for which you want to calculate the interest

Putting the values in the above formula, we get:

Interest = (60 × 9 × 2)/100= (108 × 1)/1= $108

So, the amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

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Answer:

561 Inches

Step-by-step explanation:

8.5 * 5.5 * 12 = 561

Formula for Volume:

Length x Width x Hight

The rate of change of the area is equal to -3 * 8^2 = -12.694 in2/min.

The rate of change of the area is the rate at which the area is increasing or decreasing over a given period of time. It is calculated by taking the difference between the initial and final area values and dividing it by the amount of time it took for the change to occur.

For example, if the area of a square increases from 10 square meters to 12 square meters over a period of two days, then the rate of change of the area would be (12-10)/2 = 1 square meter per day.

The rate of change of the area of a circle is equal to the negative of the product of the rate of change of the radius and the square of the radius. The rate of change of the radius is given as -3 inches per minute, and the radius is given as 8 inches. So, the rate of change of the area is equal to -3 * 8^2 = -12.694 in2/min.

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Answer:

yes they are

Step-by-step explanation:

they are both congruent because they are the same shape and size, they are just on opposite sides

(congruent means that 2 objects are the same shape and size)

Answer:

yes they are

Step-by-step explanation:

Answer: 113 CM

Step-by-step explanation:

Recall that the formula for the area of a circle is A = πr^2, where A represents the area and r represents the radius.

Substitute the given value of the radius into the formula: A = π(6 cm)^2

Simplify the expression: A = π(36 cm^2)

Use the approximation for π, which is 3.14, to calculate the approximate area: A ≈ 3.14(36 cm^2)

Multiply to get the final answer: A ≈ 113 cm^2.

Therefore, the area of the circle to the nearest whole number is 113 square centimeters.

Answer:

113

Step-by-step explanation:

Area of a circle = π r^2

A = π r^2

A = π * 6^2

A = π * 36

A = 113.097...

A = 113 (nearest whole number)

Answer:

D. x =9, angle measure is 27°.

Step-by-step explanation:

3x° = 27° (vertical angles)

x° = 27°/3

x° = 9°

x = 9

3x° = 3*9° = 27°

So, x =9, angle measure is 27°.

Answer:

Slope = -1

Step-by-step explanation:

In the formula " y = mx + b", m = slope and b = y-intercept.

y = -x + 4   is the same as  y = -1x + 4

So, we can tell that the slope is -1  and the y-intercept is 4.

This results in a linear equation with just one variable, x, which we can then answer. the solution to the system of equations is \((x, y) = (-8/3, 10/3).\)

To solve the system of equations:

\({y=4x+6y=-2x-10}\)

The first step is to set the two equations equal to each other since they both equal y:

\(4x + 6 = -2x - 10\)

This creates a linear equation in one variable (x) that we can solve for x.

The next step is to simplify and solve for x:

\(4x + 2x = -10 - 6\)

\(6x = -16\)

\(x = -16/6 or -8/3\)

Now that we have found the value of x, we can substitute it back into either equation to find the value of y.

Using the first equation,  \(y = 4x + 6:\)

\(y = 4(-8/3) + 6\)

\(y = -8/3 + 18/3\)

\(y = 10/3\)

Therefore, the solution to the system of equations is  \((x, y) = (-8/3, 10/3).\)

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The number of observations strictly less than 24 is 7.

The five-number summary consists of the minimum value (13), the first quartile (Q1) or 25th percentile (24), the median or second quartile (Q2) or 50th percentile (38), the third quartile (Q3) or 75th percentile (51), and the maximum value (69).

Since Q1 represents the value below which 25% of the observations lie, and the five-number summary indicates that Q1 is 24, it means that 25% of the observations are less than or equal to 24.

Therefore, the number of observations strictly less than 24 is 25% of 33, which equals 7.

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The balance of your account after 10 years is $228.47

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

Inital deposit, P = 170

Rate r = 3% annual interest compounded continuously.

Using the above as a guide, we have the following:

The amount after x years is

Amount = P * (1 + r)ˣ

Substitute the known values in the above equation, so, we have the following representation

Amount = 170 * (1 + 3%)¹⁰

Evaluate

Amount = 228.47

Hence, the amount is $228.47

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The  percent of gizzards under 5.5 oz: approximately 93.32% . Percent of gizzards between 3.33 and 6.2 oz: approximately 73.43%. Percent of gizzards over 7.5 oz: approximately 0.2% . Percent of gizzards over 8.1 oz: approximately 0% using normal distribution.

Percent of gizzards under 5.5 oz:

To find this percentage, we need to calculate the cumulative probability up to 5.5 oz in a standard normal distribution with mean 4 oz and standard deviation 1 oz.

Using the standard normal distribution table or a calculator, we can find that the cumulative probability for z-score 1.5 (corresponding to 5.5 oz) is approximately 0.9332. Therefore, approximately 93.32% of gizzards are under 5.5 oz.

Percent of gizzards between 3.33 and 6.2 oz:

We need to calculate the difference in cumulative probabilities between these two values.

First, we find the z-scores for both values:

For 3.33 oz: z = (3.33 - 4) / 1 = -0.67

For 6.2 oz: z = (6.2 - 4) / 1 = 2.2

Next, we find the cumulative probabilities for these z-scores:

For z = -0.67, the cumulative probability is approximately 0.2514.

For z = 2.2, the cumulative probability is approximately 0.9857.

The difference between these two cumulative probabilities gives us the percentage of gizzards between 3.33 and 6.2 oz:

0.9857 - 0.2514 = 0.7343 or approximately 73.43%.

Percent of gizzards over 7.5 oz:

To find this percentage, we calculate the cumulative probability beyond 7.5 oz.

For z = (7.5 - 4) / 1 = 3.5, the cumulative probability is approximately 0.9998.

Therefore, approximately 0.002 or 0.2% of gizzards are over 7.5 oz.

Percent of gizzards over 8.1 oz:

Similar to the previous case, we calculate the cumulative probability beyond 8.1 oz.

For z = (8.1 - 4) / 1 = 4.1, the cumulative probability is approximately 1.

Therefore, approximately 0% or none of the gizzards are over 8.1 oz.

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