Question 11
Points 2
Mary has four T-shirts-T₁, T2, T3, and T4, and
three pairs of jeans-J1, J2, and J3. The number
of possible ways she can choose her outfit is:
O 12

Answers

Answer 1

The computation shows that the number of possible ways will be 12.

How to calculate the value?

From the information given, Mary has four t-shirts-T₁, T2, T3, and T4, and three pairs of jeans-J1, J2, and J3.

Therefore, the number of possible ways that she can choose her outfit will be:

= 4 × 3 = 12

In conclusion, the correct option is 12.

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Related Questions

Which of the following are solutions to the equation below?
Check all that apply.
9x² - 6x + 1 =7
O A. x= 2√2
B. x = -√7+1
3
☐ C. X=
□ D. X=
√√7+1
3
+1
□ E. x = 2√2
3
O F. X= -√2+1

Answers

Answer: C and B

Step-by-step explanation:

[tex]9x^2 - 6x+1=7\\\\9x^2 - 6x-6=0\\\\x=\frac{-(-6) \pm \sqrt{(-6)^2 - 4(9)(-6)}}{2(9)}\\\\x=\frac{6 \pm \sqrt{252}}{18}\\\\x=\frac{1 \pm \sqrt{7}}{3}[/tex]

Which of the following equations has the solution x = all real numbers?
O 4(3-x) + 7x = 4x + 12 + 2x
O 4(4-x) + 6x = x + 16 - 4x
O 3(4-x) + 6x = 4x + 12 - x
O 4(3-c) + 6x = 3x + 8x

Answers

Answer: 3(4-x) + 6x = 4x + 12 - x

Step-by-step explanation:

For the solution to be all real numbers, the left hand has to be identical to the right hand side.

1) [tex]4(3-x)+7x=12-4x+7x=12+3x[/tex], so wrong.

2) [tex]4(4-x)+6x=16-4x+6x=16+2x[/tex], so wrong.

3) [tex]3(4-x)+6x=12-3x+6x=12+3x=4x+12-x[/tex], so correct.

4) Wrong variable, so eliminate immediately.

The following table shows the data collected from a random sample of 100 middle school students on the number of hours they do household chores every week:

Weekly Duration of Household Chores

Time (in hours) 0–1 2–3 4–5 6–7
Number of Students 32 64 3 1


There are 1,500 students in the school. Based on the sample proportion, how many students in the school would be expected to do household chores for at least two hours every week?

A 480
B 960
C 1020
D 1440

Answers

The students in the school would be expected to do household chores for at least two hours every week with 1020 students.

We have given

Time (in hours)                  0–  1    2–3     4–5    6–7

Number of Students         32   64          3        1

What is the random sample?

A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.

The keyword is at least, this means anything under that number will not qualify.

So that leaves 68 out of the 100 sample students.

So if you want to have the same thing but with 1,500 students.

Take off the 2 zeros at the end of 1500 and multiply by 68 to get your answer.

This is because there are 2 zeros in 100, so to cancel out the 2 zeros in 100, take out the 2 zeros in 1500 making it a lot easier.

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Draw u – v + w. please help !!!!!!!!!!

Answers

Here, we have to perform a sum of vectors and draw the resultant vector and the resultant vector will be <4, 0>.

How to illustrate the vector?

If we see the image, we can write the vectors as:

w = <3, 3>

u = <-3, -4>

v = <-4, -1>

Now we want to sum:

u - v + w

u - v + w

= <-3, -4> - <-4, -1> + <3, 3>

= <-3 + 4 + 3, -4 + 1 + 3>

= <4, 0>

The graph of the resultant vector can be seen below.

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In a relatively pointless survey, the following data was collected on cars in a Costco parking lot: there were 94 white cars; 44 purple cars; 41 dark gray cars; 27 light blue cars; 46 green cars; 19 cars of some other color.

If you were to construct a Pareto chart (using the rule suggested in the book), how would the second bar in the graph be labeled?

color =

Answers

If I am to to construct a Pareto chart based on the rule of the chart, the second bar color in the graph be labeled light blue.

What  is a Pareto chart?

A Pareto chart is known to be a form of  a bar graph.

It is made up of different lengths of bars that stands for frequency or cost ( e.g. time or money, and are said to be placed with longest bars on the left and then the shortest are placed to the right.

Since there are 27 light blue cars and this is the first one among the shortest, one can make it to be in the second bar and as such, If I am to to construct a Pareto chart based on the rule of the chart, the second bar color in the graph be labeled light blue.

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Geometry
Help pls list steps so I can learn :)

Answers

Answer: [tex]\frac{25\pi}{4}[/tex]

Step-by-step explanation:

The area of the entire circle is [tex]\pi(5^2)=25\pi[/tex].

The area of a quarter of the circle is thus [tex]\frac{25\pi}{4}[/tex]

In the coin flipping lab, suppose that you simulated the flipping of a weighted coin 30 times and got 5 heads and 25 tails. What is your estimated probability for P(H)?

Answers

Answer:

1/6

Step-by-step explanation:

Out of 30 tosses, 5 come up heads. So the estimated probability of heads is 5/30, or 1/6.

Answer: 0.17

Step-by-step explanation:

just got it right on quiz

Find the measure of the angle indicated in bold

Answers

The measure of the angles in bold are as follows;

25. 90° and 90°

26. 60° and 60°

How to find angles?

When two parallel lines are cut by a transversal , angle relationship are formed. They are alternate angles, corresponding angles etc.

Therefore,

x + 96 + x + 96 = 180

2x  = 180 - 192

2x = -12

x = -6

Hence, the angles are 90 and 90 degrees.

6x = 5x + 10(corresponding angles)

6x - 5x = 10

x = 10

Therefore, the angles are 60 degrees and 60 degrees

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Question
Determine an angle between 0° and 360° that is coterminal to an angle with measure of 1524°.
Enter your answer below without a degrees symbol - just enter the numeric answer.

Answers

Answer: 84°

Step-by-step explanation:

On a unit circle, coterminal angles are angles that are in the opposite position of the asked angle. 1524° revolves around 127/15π times across the entire unit circle.

84° is the only positive coterminal angle between 0 and 360 that is in the opposite position of 1524°.

Keep in mind, that there are more coterminal angles, namely 444°, 804°, 1164°, and 1524° itself, but they are outside of the range of 0 and 360 degrees.

A garden table and a bench cost $714 combined. The garden table costs $64 more than the bench. What is the cost of the bench?

Answers

Answer:

The bench costs $325

Step-by-step explanation:

let garden table = x

let bench = y

x = y+64

x+y = 714

y+y+64 = 714 (we know, x = y+64)

2y + 64 = 714

2y = 650

y = 325

Answer:

Bench: $325

Garden Table: $389

Step-by-step explanation:

g + b = 714      Eq. 1

g = b + 64        Eq. 2

g = cost of the garden table

b = cost of the bench

Replacing Eq.2 in Eq.1

(b+64) + b = 714

2b + 64 = 714

2b = 714 - 64

2b = 650

b = 650/2

b = 325

from the Eq. 2

g = b + 64

g = 325 + 64

g = 389

Check:

from the Eq. 1

g + b = 714

389 + 325 = 714

Draw a histogram and a box-and-whisker plot to represent the combined data, and answer the questions. Be sure to include the new graphs as part of your final submission.

How do the graphs of the combined data compare to the original graphs?
Compared to the original graphs, do the new graphs make it easier or more difficult to estimate the price of a book?

Answers

The new graphs would make it more difficult to estimate the price of a book.

How to create the combined graph?

To do this, we simply combine the frequencies on Felix and Tyler's table.

When this is done, we have the following dataset

3,3,3,3,3,3,3,3,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7, 8,8,8,8,9,9,9,9,9,9,9,9,9,11,11,13,13,13,13,15,15,15,16,16,18,18,18,18,18,19,19,19,19,19,19,29,32,32,36,36,36,38,38,64,64,66,66,66,68,68,69,75,75,76,76,76,76,76,78,78,79,82,82,86,86,86,89,96,96,97,97,99

Next, we create the box & whisker plot and the histogram using the new dataset

(see attachment for the graphs)

The new graphs would make it more difficult to estimate the price of a book.

This is so because the dataset used to create the graphs do not come from the same source

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Consider the following data on the estimated cost (in millions of dollars) resulting from traffic congestion for different urban areas. The following are the data for the 13 largest U.S. urban areas.

Answers

The mean is $5.769 million and the standard deviation is $3.905 million.

What is the mean?

The mean is the average of a data set.

What is the standard deviation?

The standard deviation shows the measure of the dispersion from the mean.

Data and Calculations:

Urban Area         Total Cost       Squared Difference

                        (millions of dollars)    (x - u)²

New York                  16                     104.65  

Los Angeles              13                      52.27

Chicago                      7                          1.51

Washington, D.C.       5                        0.59

Houston                      5                        0.59

Dallas, Fort Worth      4                         3.13

Detroit                        4                          3.13

Miami                         4                          3.13

Phoenix                     4                          3.13

Philadelphia              4                          3.13

San Francisco           3                          7.67

Boston                       3                          7.67

Atlanta                       3                          7.67

13    Total                 75                       198.27

Mean = 5.769 (75/13)                         15.251 (198.27/13)

Standard Deviation = 3.905 (square root of 15.251)

Question Completion:

Urban Area         Total Cost

                        (millions of dollars)

New York                  16

Los Angeles              13

Chicago                      7

Washington, D.C.      5

Houston                     5

Dallas, Fort Worth     4

Detroit                       4

Miami                        4

Phoenix                    4

Philadelphia             4

San Francisco          3

Boston                     3

Atlanta                     3

Calculate the mean and standard deviation for this data set (in millions of dollars). (Round your answers to three decimal places.) mean $ million standard deviation $ million

Thus, the mean is $5.769 million and the standard deviation is $3.905 million.

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please help me asap thank you so so so much u are the most amazing

Answers

The smallest angle would be 19 degrees. So option D is correct.

What is the sum of the octagon?

The sum of exterior angles of the regular octagon is 360 degrees.

Given;

The angles

x + 13 + 2x - 1 + 2x + 6 + 2x + 12 + 2x - 17 + 3x - 4 + 3x - 10 + 4x = 360

19x - 1 = 360

19x = 359

x = 18.89

The smallest angle would be

2x - 17 = 2(18.89) - 17 = 19

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On July 1, 20x5, Augusta Enterprises issued bonds with a face value of $1,000,000. The bonds carry a face interest rate of 10 percent that is payable each July 1 and January 1.

a. Prepare the entry in journal form without explanation for the issuance assuming the bonds are issued at 97.
b. Prepare the entry in journal form without explanation for the issuance assuming the bonds are issued at 102.

Answers

Based on the price that Augusta Enterprises issued the bonds, the journal entries would be:

Date                  Account title                              Debit                Credit

July 1, 20x5       Cash                                      $97,000

                         Discount on Bonds payable $3,000

                         Bonds payable                                               $1,000,000

Date                  Account title                              Debit                Credit

July 1, 20x5       Cash                                     $1,020,000

                         Premium on Bonds payable                           $20,000

                         Bonds payable                                              $1,000,000

How are bonds recorded at premium and discount?

The cash received from the discounted bond is:

= 1,000,000 x 97%

= $970,000

The cash received from the premium bond is:

= 1,000,000 x 102/100

= $1,020,000

The premium is:

= 1,020,000 - 1,000,000

= $20,000

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Bailey was practicing karate and kicked the target 6 out of 20 times. Express the number of times she kicked the target as a fraction of the total number of kicks , and reduce the fraction to the lowest terms.​

Answers

Answer:

ok so here we know that Baily kicked the target 6 times out of 20 that  is 6/20 and then you just reduce the fraction dividing it by 2 so it will be  3/10

Step-by-step explanation:

hope it helps :)

Choose the equation for the graph.
a) y = -x - 4 + 1
b) y=-x-4) - 1
c) y = -x + 4 + 1
d) y = -x + 4) - 1
e) y =
|x4| +1

Answers

Answer:

a

Step-by-step explanation:

The vertex is at (4,1).

Eliminate b, c, d

Also, the graph opens down, so this eliminates e.

So, the answer is a.

A box with an open top is to be constructed from a 15 inch by 24 inch piece of cardboard by cutting squares of equal sides from the corners and folding up the sides. Find the dimensions of the box of the largest volume that can be constructed.

Answers

The dimensions of the box of the largest volume that can be constructed are

D=18,9,3

What are the dimensions?

Generally, the equation for the lenght is  mathematically given as

Lenght=(24-2x)

Widht= (15-2x)

Therefore

Volume =L*B*H

V=(24-2x)(15-2x)x

V=(360-48x-30x+4x)x

V=4x^3-78x^2+360x

Differnciating we have

dv/dx=12x^2-156x+360

put dv/dx=0

12(x^2-13x+30)=0

x^2-10x-3x+30=0

(x-10)(x-3)=0

root=10,3

Second diiferciation

d^v/dx^2=24x-156

[tex]lim _{x=3} =-84 < 0[/tex]

In conclusion,

L=24-2x

L=24-2x3

L=18in

w= 15-2x

w=15-2*3

w=9in

h=x

h=2in

Dimension=18,9,3

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in a random sample of 36 criminals convicted of a certain​ crime, it was determined that the mean length of sentencing was 50 ​months, with a standard deviation of 5 months. construct and interpret a 90 ​% confidence interval for the mean length of sentencing for this crime.

Answers

The answer is 90% of the crime is between 48.63 and 51.37

How to solve for the confidence interval

The sd = 5 months

n = 36

Mean length = 50

1- 0.90

= 0.1

Critical value = alpha/2 = 1.645

Margin of error

E = 1.645 x 5/√36

= 1.37

The upper and lower limits are

50 -  1.37 + 50 + 1.37

= (48.63, 51.37)

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Data was collected for a sample of organic snacks. The amount of sugar (in mg) in each snack is
summarized in the histogram below.

What is the sample size for this data set?

Answers

Answer:  43

Explanation:

Add up the heights of each bar to get the sample size.

4+4+7+12+11+4+1 = 43

QUESTION IS DOWN BELOW 30 points for answer

Answers

Answer: a) 25:16 and b) 125:64

Step-by-step explanation:

For simplicity, assume that two spheres have diameters of 5 and 4.

a) 4pi(5^2) and 4pi(4^2)

   = 100pi:64pi

   = 100:64

   = 25:16

b. 4/3 pi(5^3) and 4/3 pi(4^3)

   = 166.67pi and 85.33pi

   = 500:256

   = 125:64

15. Which one of the following is a geometric sequence?
O A. 0, 1, 2, 3,...
O B. 2, -3, 92, -18/4
O C. -7, 10, 23, 36, ...
O D. 8, 4, 2, 1, 1/2, ¹/4....

Answers

It should be C I think i did this question before as well.
Should be c or d, I’ve done this before also

The table below gives recommended weight ranges for the balls from five different sports. (Hint: Find the average of each weight.)

Answers

The average weights of each ball are 270 grams, 625 grams, 425 grams, 145.5 grams and 14.5 ounces

How to determine the average weights?

The range is given as:

Sport                   Weight range of ball used

Volleyball            260-280 grams

Basketball           600-650 grams

Water Polo         400-450 grams

Lacrosse            142-149 grams

Football       14-15 ounces

The average of each weight is calculated as:

Average = (Max + Min)/2

So, we have:

Volleyball = (260+280)/2 = 270 grams

Basketball = (600+ 650)/2 = 625 grams

Water Polo = (400+450)/2 = 425 grams

Lacrosse = (142+149)/2 = 145.5 grams

Football = (14+15)/2 = 14.5 ounces

Hence, the average weights of each ball are 270 grams, 625 grams, 425 grams, 145.5 grams and 14.5 ounces

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Missing information in the question

Sport                   Weight range of ball used

Volleyball            260-280 grams

Basketball           600-650 grams

Water Polo         400-450 grams

Lacrosse            142-149 grams

Football       14-15 ounces

in the x-y plane, what is the y- intercept of the graph of the equation y=6 (x-1/2) (x+3)

Answers

The y-intercept on the x-y plane is (0, -9).

How to get the y-intercept?

To get the y-intercept we just need to evaluate in x = 0.

Here we have:

y = 6*(x - 1/2)*(x + 3)

Evaluating the given equation in x = 0 we get:

y = 6*(0 - 1/2)*(0 + 3) = -9

Then the y-intercept on the x-y plane is (0, -9).

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Answer:

-9

Step-by-step explanation:

2.3. Use the following subtraction strategies to calculate 884-597: 2.3.1. breaking up the second number 2.3.2. adding on to the smaller number until you reach the bigger number 2.4. Design a real life activity for the Intermediate Phase in which learners will be required to apply the associative property of multiplication over addition. (4) (3) (3) 2.5. Suppose you want to have the activity in 2.4 marked by peers. Give a marking guideline according to which learners can score each other's work. (2) 2.6. Draw a diagram by which you can visually explain to learners in the Intermediate Phase why the sum of five consecutive numbers is equal to the fifth multiple of the middle number. Choose any set of five consecutive numbers to illustrate your statement. Write down your explanation in four powerful sentences. (5) OW a 2.3 . Use the following subtraction strategies to calculate 884-597 : 2.3.1 . breaking up the second number 2.3.2 . adding on to the smaller number until you reach the bigger number 2.4 . Design a real life activity for the Intermediate Phase in which learners will be required to apply the associative property of multiplication over addition . ( 4 ) ( 3 ) ( 3 ) 2.5 . Suppose you want to have the activity in 2.4 marked by peers . Give a marking guideline according to which learners can score each other's work . ( 2 ) 2.6 . Draw a diagram by which you can visually explain to learners in the Intermediate Phase why the sum of five consecutive numbers is equal to the fifth multiple of the middle number . Choose any set of five consecutive numbers to illustrate your statement . Write down your explanation in four powerful sentences . ( 5 ) OW a​

Answers

It should be noted that the value of 597 subtracted from 884 is 287.

How to illustrate the subtraction?

The information is simply that we should subtract 884 and 597 and also illustrate it.

This will be:

884 - 597 = 287.

A word problem illustrating this is that a man had 884 pens and gave 597 pens to his friends. How many pens does he have left?

This will be:

= 884 - 597 = 287

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Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x).

x f(x) = 2.5x − 10.5 g(x) = 64(0.5x)
2
3
4
5
6

A newspaper started an online version of its paper 14 years ago. In a recent presentation to stockholders, the lead marketing executive stated, “The revenues for online ads are more than double that of the revenues for printed ads.”
Use the graph below to justify the lead executive’s statement.
Determine the approximate year that the two ad revenues were equal.
See Text Version


Two ocean beaches are being affected by erosion. The table shows the width, in feet, of each beach measured at high tide where 1995 is represented by year 0:

Year number Western Beach width (in feet) Dunes Beach width (in feet)
0 100 20
5 90 45
10 80 70
11 78 75
12 76 80
15 70 95

Describe the patterns shown by the erosion data measurements shown for each of the beaches in the table.
Between which years will the beaches have approximately the same width?
Assuming these rates remain constant, what can you do to get a better approximation of when the two beaches will have the same width?

Answers

The answers are as follows:

What is data?

Data is information that has been translated into a form that is efficient for movement or processing.

1. By substituting the values x= 1, 2, 3..

We get the point where f(x)= g(x)

So, f(5)= g(5) =2

Hence, the value of x is 5.

2. As per the given data, during year 14,

revenue from online ads is approximately $4.2 million, whereas revenue from online ads is double than revenue from printed ads.

Also, both line intersect inbetween 7 and 8th year and both online ads and printed ads generated an approximate revenue of $2.2 million.

3. Western Beach erodes from 100 ft to 70 ft.

So, rate of erosion = 30 ft/15 yr = 2 ft/yr.

and,  Dunes Beach builds up from 20 ft to 95 ft.

So,  rate of buildup = 75 ft/15 yr = 5 ft/yr.

Hence,  Dunes beach gets 5 feet every year, and every 5 years the beach loses 25 feet.

b) From the table, beaches will have the same width sometime in year 11 (2006).

c) If the rate remains constant then there is no same width cause of decrease in western beach and increase dunes beach.

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PLEEEEEEEEEEASSEEEEEEE ANSWER QUESTION IS DOWN BELOW WORTH 15 POINTS each

Answers

A ratio shows us the number of times a number contains another number. The ratio of the volume of the model to the volume of the original is 27/2744.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

Given that the scale factor is 3:14. Therefore, the ratios can be written as,

(a) The ratio of the surface area of the model to the surface area of the original  is,

Surface area Ratio = (3/14)² = 9/196

(b) The ratio of the volume of the model to the volume of the original.

Volume Ratio = (3/14)³ = 27/2744

(c) The ratio of the width of the model to the width of the original.

Width Ratio = 3/14

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Solve the logarithmic equation...

Answers

Answer:

x = 3

Explanation:

[tex]\sf Given \ equation: \ log_{10} (1000) = x[/tex]

Solving steps:

[tex]\rightarrow \sf log_{10} (1000) = x[/tex]

apply rule: logₐ(b) = c  then  b = aᶜ

[tex]\rightarrow \sf 1000 = 10^x[/tex]

rewrite following

[tex]\rightarrow \sf 10^3= 10^x[/tex]

cancel out bases

[tex]\rightarrow \sf x = 3[/tex]

Answer:

d.) x = 3

Step-by-step explanation:

you simply need to know 10 to power of how many makes 1000 , In case didn't know you can replace the value of x with the given options and see if it can be solved or not .

On a number line 1.77 would be located.

Answers

On a number line 1.77 would be located between 1 and 2 but it would be closer to 2 than 1.

Where would 1.77 be located?

A number line is used to show the positioning of numbers. 1.77 is between 1 and 2. So, it would be located between 1 and 2 on the number line. Because 1.77 can be rounded off to 2, it would be closer to 2.

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Which expression is equivalent to the following complex fraction?
-2/x + 5/y / 3/y - 2/x

Answers

Answer: [tex]\frac{5x-2y}{3x-2y}[/tex]

Step-by-step explanation:

[tex]\frac{-\frac{2}{x}+\frac{5}{y}}{\frac{3}{y}-\frac{2}{x}}[/tex]
Multiplying the numerator and denominator by xy,

[tex]=\frac{-2y+5x}{3x-2y}\\\\=\frac{5x-2y}{3x-2y}[/tex]

And a certain watery an urn contains balls number 1 to 34 from this are in five balls are chosen randomly without replacement for a one dollar bed a player chooses one set of phone numbers to Wayne all five numbers match match those shows it from the urn the order in which the balls or select it doesn’t matter what is the probability of winning the lottery with one ticket

Answers

The probability of winning the lottery with one ticket is mathematically given as

P(W)=2.99484408*10^{−8}

What is the probability of winning the lottery with one ticket?

Generally, the equation for the probability is  mathematically given as

P(1st ball)=1/34

one ball drawn remain

34-1=33

P(2nd ball)=1/33

In conclusion, the probability of winning the lottery with one ticket is

P(W)=1/34*1/33*1/32*1/31*1/30

P(W)=2.99484408*10^{−8}

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