Figure P is the result of a transformation on Figure O Which transformation would accomplish this?

The coordinates of the trapezoid  RSTU with vertices R(-13, 7), S(-1, 7), T(-1, -5), and U(-13,-9) after dilation with scale factor of k= 1/4 are

Data gotten from the question

Dilation refers to an increment or reduction in dimension and location of a preimage to get a new image

The coordinate of the image of dilation is gotten using the formula

x₂ = kx₁ - x₀(k - 1) for x coordinate

y₂ = ky₁ - y₀(k - 1) for y coordinate

definition of terms

terms with subscript 2 is corresponding to the image

terms with subscript 1 is corresponding to the preimage

terms with subscript 0 is corresponding to the center of dilation

\k = scale factor

R(-13, 7) ⇒ R'(-7, -2)

x₂ = 1/4 * -13 - -5(1/4 - 1) = -7

y₂ = 1/4 * 7 - -5(1/4 - 1) = -2

S(-1, 7)  ⇒ S' (-4, -2)

x₂ = 1/4 * -1 - -5(1/4 - 1) = -4

y₂ = 1/4 * 7 - -5(1/4 - 1) = -2

T(-1, -5) ⇒ T' (-4, -2.5)

x₂ = 1/4 * -1 - -5(1/4 - 1) = -4

y₂ = 1/4 * -5 - -5(1/4 - 1) = -2.5

U(-13,-9) ⇒ U' (-7, -6)

x₂ = 1/4 * -13 - -5(1/4 - 1) = -7

y₂ = 1/4 * -9 - -5(1/4 - 1) = -6

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Answer:

Circumference: 18.85 km
Area: 28.27 \(km^2\)

Step-by-step explanation:

We need to find (1) the circumference, and (2) the area, given a diameter of 6 kilometers. Area should be found in \(km^2\) but circumference should be found in km. The radius is 3 km because the radius is half of the diameter.

(1) Finding the circumference (C)

\(C = 2\pi r\)

\(C = 2\pi (3)\)

\(C = 18.849\) km (round to 18.5)

(2) Finding the area (A)

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

\(A = 28.274\) \(km^2\) (round to 28.27)

Answer:

It is unequal because PEMDAS  states that exponents are above multiplication. In this case, it can be simplified to -1 * 7^2, which is -49.

Answer:

12) a = 5

Step-by-step explanation:

a is found by dividing the second difference by 2.

10 = 2a

5   = a

The product of (4x + 7) and (3x - 8) is 12x² + 7x - 56.

WHAT IS BOX METHOD ?

The box method, also known as the grid method, is a visual method used to multiply two numbers or two binomials. It involves creating a grid or box and filling it in with the products of the digits in each row and column. The method works for both single-digit and multi-digit numbers.

To use the box method for multiplying two numbers, we draw a box with two rows and two columns. We write one number along the top row and the other number along the left column. Then, we multiply the digits in each row and column and write the products in the corresponding cell of the box. Finally, we add the numbers in each cell of the box to get the product of the two numbers.

The box method can be used to multiply two binomials, such as (4x + 7) and (3x - 8). To use the box method, we draw a box with four cells, and we write the two binomials along the top and left sides of the box, like this:

     |  4x  |  7

-------------------

 3x  |      |

-------------------

    |      |

Then, we fill in the four cells of the box by multiplying the corresponding terms. For example, the top-left cell is filled by multiplying 4x and 3x, which gives 12x². The other cells are filled in a similar way:

     |  4x  |  7

-------------------

 3x  | 12x² | 28x

-------------------

    | -21x | -56

Next, we combine the terms in each row and column of the box, and write the final answer as the sum of these terms:

12x² + 28x - 21x - 56

Simplifying this expression gives:

12x² + 7x - 56

Therefore, the product of (4x + 7) and (3x - 8) is 12x² + 7x - 56.

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Step-by-step explanation:

if you mean how much would each cost just divide 5 from 2.75 which is equal to 27÷5=0.55

each orange would cost 0.55cent

⇒What is needed now is the price of a single orange. We can get that by division of the price of the overall oranges by the number of oranges.

\(=\frac{2.75}{5} \\=0.55\)

The answer is $0.55

Answer:

B) shows a positive scatter-plot

Step-by-step explanation:

Given below. The points slants up from left to right.

for A - its a negative scatter plot.

for C - its both positive correlation at first then negative correlation.

for D -  there is no correlation.

Answer:

(-1,1)

Step-by-step explanation:

Answer:

AB ≈ 5.59 m

Step-by-step explanation:

The arc AB is calculated as

AB = circumference of circle × fraction of circle

      = 2πr × \(\frac{40}{360}\) ( r is the radius )

      = 2π × 8 × \(\frac{1}{9}\)

      = 16π ÷ 9 ≈ 5.59 m ( to the nearest hundredth )

Answer:

5.59

Step-by-step explanation:

I had the same one

Answer:

1. x=10; y=10 x root 2

Step-by-step explanation:

This is a 45-45-90 triangle, so the legs of the right triangle have an equal length. The formula states that y=x root 2, which is 10, so 10 root 2. The other triangles are all 30-60-90 triangles.

\(\mathrm{\frac{\#\:of\:miles}{\#\:of\:hours}=\frac{5}{1\frac{1}{2}}}\)

First off, we have to convert 1 and half hours to minutes

1 hour = 60 mins

1 and a half is half of 1, which is 60 ÷ 2 = 30, then plus 1 hour, which is 60. So 60 + 30 = 90.

So we have:

\(\frac{5}{90}\)

Since we converted minutes to hours on one side of the equation, we have to do the same on the other side of the equation.

1 hour = 60 mins

6 hours would be 60 × 6 = 360 minutes

Now we can set up a variable, \(m\), as to how far it will take in miles.

\(\frac{5}{90}=\frac{m}{360}\)

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Nextly, we solve for \(m\)

\(\frac{5}{90}=\frac{m}{360}\)

Step 1: Multiply 10 to both sides

\(10\cdot[\frac{5}{90}]=[\frac{m}{360}]\cdot10\)

10 and 90. Cancel the zeros. We are left with 9, so \(\frac{5}{9}\)

360 and 10. Cancel the zeros. We are left with 36, so \(\frac{m}{36}\)

So we have \(\frac{5}{9}=\frac{m}{36}\)

Step 2: Multiply 36 to both sides

\(\frac{36m}{36}=\frac{5\cdot \:36}{9}\)

\(20\)

Therefore, Goerge could walk 20 miles in 6 hours.

J in 55min

J in 45min ( bigger hose)

Alternative method

The trick is to convert the numbers you are given to numbers that you can add together.

You have minutes per pool. You can’t work with that. But if you take the reciprocal of each you get pools per minute.

So if the first hose fills 1/55 = 0.01818 pools per minute and the second one fills 1/45 = 0.0222 pools per minute, then both of them will fill 0.1818 + 0.0222 = 0.04040 pools per minute. If we take the reciprocal of that we end up with 1/0.04040 = 24.75 minutes per pool.

Answer:

3\15

Step-by-step explanation:

hope this helps

Answer:

\(\frac{2}{8}and\frac{5}{20}\)

Step-by-step explanation:

\(\frac{3}{15}=\frac{1}{5}\)

\(\frac{2}{8}=\frac{1}{4}\)

\(\frac{5}{20}=\frac{1}{4}\)

\(\frac{11}{40}=\frac{11}{40}\)

Answer:

y = -2x.

Step-by-step explanation:

The slope-intercept form of the equation of a line is:

y = mx + b

where m is the slope of the line, and b is the y-intercept.

In this case, the slope is -2, and the y-intercept is 0. So we can substitute these values into the slope-intercept form of the equation:

y = (-2)x + 0

Simplifying, we get:

y = -2x

the equation of the line in slope-intercept form is y = -2x.

The travel website can effectively provide information comparing hotel costs versus the quality ranking of hotels in New York City, helping users make informed decisions about their accommodations.

To summarize the data comparing hotel costs versus the quality ranking of hotels in New York City for a travel website, one effective method would be to create a comparison chart or graph.

Step 1: Gather the data on hotel costs and quality rankings for various hotels in New York City. Ensure that the source of the quality rankings is reliable and consistent.

Step 2: Organize the data in a table or spreadsheet, with columns for hotel name, cost, and quality ranking.

Step 3: Create a scatter plot or bar chart to visually represent the data. On the x-axis, display the quality ranking, and on the y-axis, display the hotel cost. Each data point represents a specific hotel.

Step 4: Analyze the chart to identify trends, such as the relationship between cost and quality ranking. This will provide valuable information for the travel website's users.

By following these steps, the travel website can effectively provide information comparing hotel costs versus the quality ranking of hotels in New York City, helping users make informed decisions about their accommodations.

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Answer: 0.25 + 0.5x = 2.5

Step-by-step explanation:

0.25 = the how long his hair is right now

0.5 = how much it grows each month

X= how many months it takes to reach 2.5 inches of hair

2.5= how long he'd like his hair to be

The expressions equivalent to  -6 + 4q + (-6q) is C. None of the above

The expression -6 + 4q + (-6q) can be simplified to -2q - 6,

Evaluating the given options, we have

Option (b); 2(q - 3) = 2q - 6

Option (c): -6(q + 1) - 4q = -10q - 6

Therefore, None of the above expressions are equivalent

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There are fifteen numbers with four different digits in ascending order between 2020 and 2400.

Zero, a positive integer, or a negative integer denoted by a minus sign are all examples of integers. A negative number is the additive reciprocal of a positive number that it corresponds to. The set of integers is frequently referred to as Z in mathematical terminology. A positive, negative, or zero integer—not a fraction—is referred to as an integer (pronounced IN-tuh-jer). The numbers -5, 1, 5, 8, 97, and 3,043 are examples of integers. 1.43, 1 3/4, 3.14, and other numbers are non-integer examples.

Given:

\(the years 2020 and 2400\)

The procedures listed below can be used to count all numbers between \(2020\)and\(2400\)that have four different digits sorted in ascending order:

There are two figures, 2020 and 2400, based on the information provided.

The numbers with four different digits are then listed in ascending order as follows:

\(2345, 2346, 2347, 2348, 2349, 2356, 2357, 2358, 2359, 2367, 2368, 2369, 2378, 2379, and 2389.\)

Therefore,  total of 15 numbers between 2020 and 2400 that contain four separate digits grouped in ascending order.

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Answer:

The equation is already written in standard form.

:)

Answer:

Step 2

Step-by-step explanation:

During step 2, when dividing by 4 on both sides, Jessica got -16 / 4 was 4, which is not true. Basically she switched the sign when she shouldn't have.

Answer:

i think ur answer is c

Step-by-step explanation:

If Ridgewood Savings Bank charges a $27 per check overdraft protection fee. The amount she will owe the bank after July 12 is: $1,071.42.

Total obligation can be defined as the amount a person owe another person or the debt amount a borrower  is expected to payback to a lender.

Balance $1,400

July 9 check ($1,380.15)

Balance $19.85

July 10 check ($765.67)

($670 + $95.67)

Balance -$745.82 (Overdraft)

Now let find the amount she owe

Balance -$745.82

July 11 check $130

Balance -$875.82

July 12 check $87.60

Ending balance -$963.42

Overdraft fee $108

($27 ×4)

Total obligation -$1,071.42

Therefore her total obligation is $1,071.42.

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Answer:

1

Step-by-step explanation:

3.2/0.4=8

8×2=16

16×0.4=6.4

6.4÷0.1=64

A collection of subsets of a set X is said to partition X if every element of X belongs to exactly one of the subsets in the collection.

A partition of a set X is a collection of non-empty subsets of X.

Every element of X belongs to exactly one of the subsets.

In set notation, we can express this as follows,

Let X be a set, and let C = {A1, A2, ..., An} be a collection of subsets of X.

C is a partition of X if and only if,

The subsets are pairwise disjoint

⇒ Ai ∩ Aj = ∅ for all i ≠ j

The subsets cover the entire set X. Union is equal to X

⋃Ai = X  

In simpler terms,

A partition of a set X is a way of dividing X into non-overlapping subsets.

Such that every element of X belongs to exactly one of the subsets.

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Answer:

this question makes zero sense please rephrase it

Step-by-step explanation:

Step-by-step explanation:

Answer: D. 2

Step-by-step explanation:

Given

y-1=2(x--2)

Change signs

y-1=2(x+2)

Expand parenthesis

y-1=2x+4

Add 1 on both sides to isolate "y"

y-1+1=2x+4+1

y=2x+4

So the slope is 2

Hope this helps!! :)

Please let me know if you have any questions

p-value <0.01. Yes, since the p-value is less than the significance level. Therefore, we reject the null hypothesis that the die is fair, and we conclude that the die is loaded.

Choose the appropriate alternative hypothesis to test if the population proportions differ. All population proportions differ from 1/6: Not all population proportions are equal to 1/6.The hypothesis testing is performed by using the null hypothesis and the alternative hypothesis.

The null hypothesis is H0: P=1/6, which means that the die is fair. The alternative hypothesis is H1: P ≠ 1/6, which means that the die is loaded.b. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.).

Here is the formula for calculating the test statistic:Z = (p - P) / SQRT[(P(1-P)) / n], where p is the sample proportion, P is the hypothesized population proportion, and n is the sample size.So, we need to calculate the sample proportion as follows:p = (24+47+43+40+44+32) / 270= 230 / 270 = 0.8519.

Now we need to calculate the test statistic as follows:Z = (0.8519 - 1/6) / SQRT[(1/6 * 5/6) / 270]= 5.245c. Find the p-value.We have a two-tailed test with α = 0.01 and df = 5 (6 categories - 1).

From the standard normal distribution table, we can get the critical values of Z at a 0.01 level of significance: ± 2.576.

Therefore, the p-value for Z = 5.245 is <0.001. (P(Z > 5.245) ≈ 0)So, the answer is:p-value <0.01d. At the 1% significance level, can you conclude that the die is loaded?Yes, since the p-value is less than the significance level.

Therefore, we reject the null hypothesis that the die is fair, and we conclude that the die is loaded.

The hypothesis testing is performed by using the null hypothesis and the alternative hypothesis. The null hypothesis is H0: P=1/6, which means that the die is fair.

The alternative hypothesis is H1: P ≠ 1/6, which means that the die is loaded. Here is the formula for calculating the test statistic:Z = (p - P) / SQRT[(P(1-P)) / n], where p is the sample proportion, P is the hypothesized population proportion, and n is the sample size.

So, we need to calculate the sample proportion as follows:p = (24+47+43+40+44+32) / 270= 230 / 270 = 0.8519 Now we need to calculate the test statistic as follows:Z = (0.8519 - 1/6) / SQRT[(1/6 * 5/6) / 270]= 5.245We have a two-tailed test with α = 0.01 and df = 5 (6 categories - 1).

From the standard normal distribution table, we can get the critical values of Z at a 0.01 level of significance: ± 2.576 Therefore, the p-value for Z = 5.245 is <0.001. (P(Z > 5.245) ≈ 0)

So, the answer is:p-value <0.01. Yes, since the p-value is less than the significance level. Therefore, we reject the null hypothesis that the die is fair, and we conclude that the die is loaded.

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There is not enough information provided to determine if there is sufficient evidence at the 0.02 level to refute the publisher's claim. The null hypothesis is that proportion of readers owning a Rolls Royce is equal to 0.78 and alternative hypothesis is that proportion of readers owning a Rolls Royce is not equal to 0.78.

To determine if there is sufficient evidence at the 0.02 level to refute the newsletter publisher's claim that 78% of their readers own a Rolls Royce, we need to conduct a hypothesis test. Here are the null and alternative hypotheses for this scenario:

Null Hypothesis (H0): The proportion of readers who own a Rolls Royce is equal to 0.78 (P = 0.78)

Alternative Hypothesis (H1): The proportion of readers who own a Rolls Royce is not equal to 0.78 (P ≠ 0.78)

To test these hypotheses, follow these steps:

1. Collect a random sample of readers and record the number of Rolls Royce owners in the sample.

2. Calculate the sample proportion (p-hat) of Rolls Royce owners.

3. Calculate the test statistic using the formula: z = (p-hat - P) / sqrt(P * (1-P) / n), where P is the claimed proportion (0.78) and n is the sample size.

4. Determine the critical value for a two-tailed test at the 0.02 significance level (α = 0.02), which is approximately ±2.576 (from a z-table or calculator).

5. Compare the test statistic (z) to the critical value. If the test statistic is greater than or equal to the critical value or less than or equal to the negative critical value, reject the null hypothesis in favor of the alternative hypothesis. If not, fail to reject the null hypothesis.

Based on the results, you can determine if there is sufficient evidence to refute the publisher's claim at the 0.02 significance level. However, just based on the given information, there is not enough information to determine if there is sufficient evidence at the 0.02 level to refute the publisher's claim. We need the sample size.

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The addition of the expression \((-8-\frac{1}{4}p )+(\frac{5}{8}p-7 )\) is \(-15+\frac{3}{8}p\)

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Therefore, let's add the given linear expression as follows:

Hence,

\((-8-\frac{1}{4}p )+(\frac{5}{8}p-7 )\)

Hence, let's open the brackets of the expression as follows

\(-8-\frac{1}{4}p +\frac{5}{8}p-7\)

Combine like terms as follows;

\(-8-7-\frac{1}{4}p +\frac{5}{8}p\)

\(-15+\frac{-2p+5p}{8}\)

\(-15+\frac{3}{8}p\)

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