the rectangle is divided into three squares. if the total area is 225 square inches, find s to the nearest tenth.

Answers

Answer 1
Length is 75 width is 3
Answer 2

The value of s (side) of rectangle is 8.66 inch.

Here,

The rectangle is divided into three squares.

The total area = 225 square inches.

We have to find the value of s (side).

What is area of square?

The area of square is the product of two equal side.

Now,

The rectangle is divided into three squares.

The total area is 225 square inches.

Hence, Area of rectangle = Total area of three squares

Let side of each square is ''a''

Then, Area of square = [tex]a^{2}[/tex]

Hence,

[tex]225 = a^{2}+a^{2}+a^{2}\\\\225 = 3a^{2}\\\\a^{2} = 75\\\\a = 8.6602[/tex]

The side of rectangle = 8.6602 inch

Now, The value of s to the nearest tenth is 8.66 inch.

Therefore, The value of s (side) of rectangle is 8.66 inch.

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Related Questions

What did I do wrong. I thought it was 15

Answers

its not 15 isnt it 10
I think it is A.) 10 because the zebra ran 40 miles in 1 hour but the Gazelle ran about 50 per hour. I say this because based off of the graph the Gazelle ran 25 miles in .5 hours or 30 minutes so I would assume it ran 50 miles in one hour.... I hope you understand it better

How do you factor the expression
20k+50

Answers

Answer is 10(2k+5)

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

Work Shown:

20k+50 = 10*2k + 10*5
20k+50 = 10(2k+5)

Note how we can distribute the 10 back in to check our work
10(2k+5) = 10(2k)+10(5) = 20k+50
so that confirms we have the right answer

Another thing to notice is that 10 is the largest factor that we can pull out of 20k and 50. The value 10 is the GCF (greatest common factor) of 20 and 50.
Find the greates common factor between the two numbers being added which is 10, and divide them. Next put the two quotients in separate parentheses and multiply each one by 10 separatelyas shown:

10(2k) + 10(5)

plz help me on this
I will make it Brainliest if you get it right

A farmer estimates that he has 9,000 bees producing honey on his farm. The farmer becomes concerned when he realizes the population of bees seems to be decreasing steadily at a rate of 5% per year. If the number of bees in the population after x years is represented by f(x), which statements about the situation are true? Check all that apply.



The function f(x) = 9,000(1.05)x represents the situation.


The function f(x) = 9,000(0.95)x represents the situation.


After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.


After 4 years, the farmer can estimate that there will be about 1,800 bees remaining.


The domain values, in the context of the situation, are limited to whole numbers.


The range values, in the context of the situation, are limited to whole numbers.

Answers

When you multiply a positive number by 0.95, the product is smaller than the number.
The function is

f(x) = 9000(0.95)^x

Choice A is false.
Choice B is true.

At 2 years, x = 2
f(x) = 9000(0.95)^x
f(2) = 9000(0.95)^2 = 8122.5

Choice C is true.

At 4 years, x = 4.
f(4) = 9000(0.95)^4 = 7331

Choice D is false.

The domain values, in the context of the situation, are limited to whole numbers.
You can calculate what the bee population will be after 5.5 years.
The domain can include numbers that are not whole numbers.

Choice E is false.

The range values, in the context of the situation, are limited to whole numbers.
The range is the number of bees alive. That has to be a whole number since you can't have a fraction of a bee alive.

Choice F is true.

How much work does it take to lift a box weighing 78.6 pounds straight up four feet?

Answers

do you think it is 78.6 x 4 =314.4?

Answer:

19.65 because you divide 78.6 by 4

Step-by-step explanation:

Because you divide 78.6 by 4  hope it helps someone even though its late

Noah built a fenced dog run that is 8 yards long and 6 yards wide. he placed posts at every corner and every yard along the length and width of the run. How many posts did he use.

Answers

Answer:

24 posts

Step-by-step explanation:

Length = 8 yards

So, No. of parts of 1 yards in 8 yards = [tex]\frac{8}{1}= 8[/tex]

So, One each length there will be 8 posts including 2 corners

So, Total posts on 2 lengths = 8+8=16

Width = 6 yards

So, No. of parts of 1 yards in 6 yards = [tex]\frac{6}{1}= 6[/tex]

Excluding 2 corners, There will be 4 lamps on each width

So, Total posts on both widths excluding corners = 4+4=8

So, Total posts on fence = 16+8 = 24

Hence He used 24 posts .

The scores of Tim’s first four math tests are 82%, 90%, 78%, and 100%. If Tim wants to
have a test average of 90%, what must the average of Tim’s next two tests be?


Please share the steps to doing this, I'm studying for the Hunter Exam.

Answers

 82+ 90+78+100 = 350
Tim wants to have a test average of 90% on all of his 6 tests then
90 x 6 = 540

540 - 350 = 190

 the average of Tim’s next two tests = 190 / 2 = 95

answer
average of Tim’s next two tests must be 95
Final answer:

To get an overall average of 90% from his six tests, Tim needs to score an average of 95% on his next two tests.

Explanation:

The subject of the question is Mathematics, and it is relevant to the Middle School grade.

To figure out the average score Tim needs on his next two tests to achieve a 90% overall average, we first need to calculate the total score that he needs. As Tim is taking six tests in total and wants an average of 90%, the total score he needs is 6 * 90 = 540

Then, we need to subtract the sum of his scores from the first four tests, which are 82%, 90%, 78%, and 100%. The sum of these four scores is 350.

Now, subtract this sum from the total score he needs, which is 540 - 350 = 190. This means that the total score Tim needs from his next two tests combined is 190%

Finally, to get the average score he needs on each of these next two tests, we divide this total by 2. 190 ÷ 2 = 95. Therefore, Tim needs to score an average of 95% on his next two tests to get an overall average of 90%.

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Write and solve an equation that represents the following:
Twenty more than a number is eighteen

Answers

the equation is
20+a=18

subtract 20 from both sides using additive property that leaves you with

a= -2
Salutations!

Let the number be [tex]x[/tex]

The equation would be: [tex]x+20=18[/tex]

Lets solve this!

We need to always keep the variables aside, and the numbers aside.

[tex]x=20-18[/tex]

[tex]x=2[/tex]

Hope I helped (:

Have a great day!

The height h, in inches, of the juice in the pitcher shown at the right is a function of the amount of juice j, in ounces, that has been poured out of the pitcher. write a function rule that represents this situation. what is the height of the juice after 47oz have been poured out?

Answers

The pitcher shown has a height of 10 inches and a volume of 64 oz. The pitcher has a shape of cylinder and the volume formula of cylinder is:

V = π r^2 h

So given volume and height, we can find for the radius:

64  = π r^2 (10)

r = 1.427

 

So for a 47 oz volume is poured out, what remains is:

V remain = 64 oz – 47 oz = 17 oz

 

So the height at a volume of 17 oz is:

17 = π (1.472)^2 h

h = 2.66 inches

To determine a function rule between the height of the juice and the amount poured out, we need additional specifics such as initial height and pitcher capacity. Without this, we cannot define the exact function or determine the juice height after pouring out 47 ounces.

To write a function rule that represents the relationship between the height of juice h in the pitcher and the amount of juice j poured out, we need additional information about the initial height of the juice when the pitcher is full and its capacity. Without this information, we cannot construct an exact function. Generally, if 'H' is the initial height and 'C' is the capacity of the pitcher in ounces, then the function could look something like h = H - (k x j), where 'k' is a constant that converts ounces to inches based on the shape of the pitcher.

Regarding the second part of the question, without a specific function or more information about the pitcher, we cannot determine the height of the juice after 47 ounces have been poured out.

A recipe calls for 3/4 cup of flour, but Kelli has only 1/3 cup of flour. How much more flour does she need?

Answers

she needs 3/4 - 1/3   cups

LCD of 3 and 4 is 12 so convert the fractions to 12th's:-

3/4 - 1/3  = 9/12 - 4/12  = 5/12

She needs another 5/12 of a cup of flour , Answer.

Which set of coordinates does NOT represent a function?

Answers

The first one because it the x coordinate does not continually grow (you have two answers for 1 as well as 2)

I need to know how to evaluate this question

Answers

1.) 2+8*5-1+3
     2 +  ∨     ∨
     2+ 40-1+3
            ∨
         2+ 39
            ∨
            41+3=44. 



3.)  7+3-1-21/7
                 ∨
7  + 3 - 1 -  3
   ∨
 10 - 1- 3
     ∨
    9-3=6. hope that helped.

Mr Leonard wants to top-up his central heating oil tank.

The oil tank can take up to 1200 litres of oil. There are already 450 litres of oil in the tank.

The price of oil is 81.5p per litre. As a loyal customer, Mr Leonard gets a 7.5% discount on the price of the oil.

How much discount does Mr Leonard get on this purchase? Give your answer in £

Answers

Answer:

The discount is 4584.375 p.

Step-by-step explanation:

Given :  The oil tank can take up to 1200 litre of oil. There are already 450 litres of oil in the tank.

The price of oil is 81.5p per litre . As a loyal customer, Mr Leonard gets a 7.5% discount on the price of the oil.

To find : How much discount does Mr Leonard get on this purchase?

Solution :

First we find out the number of litre required in the tank

Total capacity of tank = 1200 litre of oil

There are already 450 litres of oil in the tank.

The required oil is = 1200 L – 450 L = 750 L

The price of oil is 81.5 p per litre.

i.e, 1 liter oil price is = 81.5 p

For 750 liter oil price is = [tex]81.5\times 750=61125p[/tex]

There is 7.5% discount on the price of oil.

i.e, [tex]61125\times\frac{7.5}{100}=4584.375[/tex]

The discount is 4584.375 p.

The discount Mr Leonard receives on his purchase is  £45.84.

What is a discount?

A discount is a reduction in the price of a good or service. After a discount, the price of an item becomes cheaper.

What is the discount on the purchase?

Quantity of oil that would be bought = capacity of the oil tank - oil already in the tank

1200 - 450 = 750 liters

Total cost of the 750 liters = total liters to be bought x cost per liter

750 x 81.5 = 61,125 p =£611.25

Value of the discount = 7.7% x £611.25 = £45.84

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Jenna found three solutions to linear equation. She graphed them, but they don't lie in a straight line. What errors could Jenna have made? Explain.

Answers

A system of linear equation could only have 1 solution. This is because the straight lines will only have to meet, cross, or intersect each other once. 

There are many different methods in arriving to the final answer. However, errors cannot be perfectly avoided. One of these errors to mistakenly identify equations as linear. It is important that we know that the equations we are dealing with are of exact or correct  characteristics. 

Also, if she had used substitution method, she might have mistakenly taken the value of one variable for the other. 

[tex]AnSwer[/tex]

A system of linear equation could only have 1 solution. This is because the straight lines will only have to meet, cross, or intersect each other once. 

There are many different methods in arriving to the final answer. However, errors cannot be perfectly avoided. One of these errors to mistakenly identify equations as linear. It is important that we know that the equations we are dealing with are of exact or correct  characteristics. 

Also, if she had used substitution method, she might have mistakenly taken the value of one variable for the other.

Solve the equation: -12 = 3x + 3

Answers

-12=3x+3
Subtract 3 from each side
-15=3x
Divide both sides by 3
-5=x
-12 = 3x + 3

-12 - 3 = 3x    subtract both sides by 3

-15 = 3x        

-15/3 = x     divide both sides by 3

-5 = x

hope this helps, God bless!

NEED HELP ASAP 12+ PTS WILL MARK BRAINLIEST A remote controlled toy truck is traveling at a constant rate of 15 feet per second. What is the distance traveled when time = 3 seconds? Table with column 1 heading Seconds and values 0, 1, 2, 3 and column 2 heading Feet and no values showing. A. 5 ft B. 15 ft C. 30 ft D. 45 ft

Answers

answer is 5 because you times 3 and 2
It's D.
15:1 =45:3

D is the answer

Evaluate the numerical expression.
4/3 - (-3/4)

Answers

4/3 - (-3/4)

4/3 + 3/4

16/12 + 9/12

25/12 = 2 1/12

Hope I helped :)
This should be right, I just had to do this problem myself:

4/3 - (-3/4)
16/12 - (-9/12)
25/12
Since it doesn't say "Simplify" you would leave it at 25/12 instead of simplifying it to 2 1/12. Hope this helps!

round 89972 to 3 significant figures

Answers

We round a number to three significant figures in the same way that we would round to three decimal places. We count from the first non-zero digit for three digits. We then round the last digit. We fill in any remaining places to the right of the decimal point with zeros.

90000 that's the answer

can the brainliest answer plz

One pound of swordfish costs as much as 1.5 pounds of salmon. Mrs. O pays $39 for 2 pounds of salmon and 3 pounds of swordfish. Find the ratio of the amount of money Mrs. O pays for the swordfish to the amount of money she pays for the swordfish.

Answers

The ratio of the amount of money Mrs. O pays for swordfish to the amount she pays for salmon is 9:4, after calculating the price per pound based on the given information and the total paid.

The question involves finding the ratio of the amount of money Mrs. O pays for swordfish to the amount she pays for salmon. However, there seems to be a typo as the question asks for the ratio of the amount paid for swordfish to the amount paid for the same swordfish. We will resolve this by providing the correct ratio of the money paid for swordfish to the money paid for salmon.

Let us denote the price per pound of salmon as Ps. Given that "One pound of swordfish costs as much as 1.5 pounds of salmon", the price per pound of swordfish can be represented as 1.5Ps. We know Mrs. O pays $39 for 2 pounds of salmon and 3 pounds of swordfish combined.

Using this information, we can calculate the price Mrs. O paid for salmon:
Ps * 2 pounds of salmon. Similarly, the price for swordfish is: 1.5Ps * 3 pounds of swordfish.

Now we need to solve for Ps using the equation: 2Ps + (1.5Ps * 3) = $39. This simplifies to 2Ps + 4.5Ps = $39, resulting in 6.5Ps = $39. Dividing both sides by 6.5 gives us Ps = $6. Hence, Mrs. O pays $6 per pound for salmon.

Therefore, Mrs. O pays 2 * $6 = $12 for salmon and 3 * (1.5 * $6) = 3 * $9 = $27 for swordfish. The ratio of the money paid for swordfish to the money paid for salmon is $27 to $12, which simplifies to 9:4.

Team rise over run gathered 20 1/2 pounds of wood in 1/2 an hour. What was their speed in pounds per hour

Answers

20 1/2 lbs per 1/2 hr, 1/2 hr x 2 = 1 hr
20 1/2 lbs x 2 = 41lbs per her

41 lbs/hr for this answer

Paula is planning a party. Her mother bought a package of 50 little toys to give the guests as party favors. Paula plans to invite 10 friends to her party. If the toys are equally divided among the friends, how many toys will each friend receive?

Answers

I think the answer you are looking for is 50/10=5 toys each

Answer:

I believe the answer would be 5 toys soo yeah.

Step-by-step explanation:


Amanda's poster is 0.85 meter long. Orlando's poster is 0.55 meter less than 1 meter long. Which expression shows the difference in the lengths of the posters?

Answers

The expression shows the difference in the lengths of the posters will be  0.85 - ( 1 - 0.55). The correct option is A.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Amanda's poster is 0.85 meters long. Orlando's poster is 0.55 meters less than 1 meter long.

Amanda's poster = 0.85 meters long

Orlando's poster = 0.55 meter less than 1 meter long: 1 meter - 0.55 meter = 0.45 meter

Orlando's poster = 0.85 - (1 - 0.55)

Therefore, the expression shows the difference in the lengths of the posters will be  0.85 - ( 1 - 0.55). The correct option is A.

The complete options are given below:-

A.0.85 - ( 1 - 0.55).

B. -0.85 + ( 1 - 0.55).

C. -0.85 - ( 1 - 0.55).

D. 0.85 + ( 1 - 0.55).

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The difference in lengths of the posters is 0.40 meters, calculated as [tex]\( |1 - 0.55 - 0.85| = 0.40 \)[/tex].

Step 1:

Find the length of Orlando's poster:

Orlando's poster is 0.55 meters less than 1 meter. Subtract 0.55 meters from 1 meter.

[tex]\[ \text{Length of Orlando's poster} = 1 - 0.55 \][/tex]

Step 2:

Calculate the difference in lengths:

Subtract the length of Amanda's poster (0.85 meters) from the length of Orlando's poster obtained in step 1.

[tex]\[ \text{Difference in lengths} = \text{Length of Orlando's poster} - \text{Length of Amanda's poster} \][/tex]

Step 3:

Perform the calculation:

[tex]\[ \text{Difference in lengths} = (1 - 0.55) - 0.85 \][/tex]

Step 4:

Simplify the expression:

[tex]\[ \text{Difference in lengths} = 0.45 - 0.85 \][/tex]

[tex]\[ \text{Difference in lengths} = -0.40 \][/tex]

Step 5:

Since negative length doesn't make sense, take the absolute value:

[tex]\[ \text{Difference in lengths} = |-0.40| = 0.40 \][/tex]

Step 6:

Conclusion:

The difference in lengths of the posters is 0.40 meters.

solve the system of equations y=x-4, y=-3x

Answers

Y=x-4
x=y+4
y=-3(y+4)
y=-3y-12
4y=-12
y=-3
x=1

To solve the given system of equations, we set y = x - 4 and y = -3x equal to each other to find x = 1 and subsequently y = -3, giving us the solution (1, -3). Other systems can be solved using methods such as elimination or substitution.

To solve the system of equations, let's start by setting up the equations provided:

1) y = x - 4

2) y = -3x

Since both equations equal y, we can set them equal to each other and solve for x:

x - 4 = -3x
4x = 4
x = 1

Now, we substitute x back into one of the original equations to find y:

y = 1 - 4
y = -3

The solution to the system of equations is (1, -3).

If we look at another set of equations mentioned in the question:

7x - 2y = 24
3x + 9y = 30

We can solve them using the method of elimination or substitution. For example, we can multiply the first equation by 3 and the second by 7, then subtract one from the other to eliminate one of the variables and solve for the other.

A merchant wishes to blend 200 pounds of coffee worth $3.20 a pound from two mixtures: one at $3.00 a pound and the other at $3.25 a pound. How many pounds of each mixture should he use?

Answers

x pounds of $3
y pounds of $3.25

x+y = 200

300x + 325y = 320*200
300x + 325y = 64000

x+y =200
300x +325y =64000

Solve by eliminating

Multiply top one w/-300

-300y =60000
325y=64000
25y = 4000

y= 160 then

x + 160= 200

x = 40


So the mixture has;

40 pounds of $3 coffee
160 pounds of $3.25 coffee






To create the ideal blend, the merchant should combine 40 pounds of coffee worth $3.00 per pound and 160 pounds of coffee worth $3.25 per pound.

What is ratio?

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Let's call the amount of coffee worth $3.00 per pound "x" and the amount of coffee worth $3.25 per pound "y".

We know that the total amount of coffee is 200 pounds, so we can write the equation:

x + y = 200

We also know that the total cost of the coffee is $3.20 per pound times 200 pounds, or $640. So we can write another equation based on the cost:

3.00x + 3.25y = 640

Now we have two equations with two variables, so we can solve for x and y.

Let's start by solving for x in the first equation:

x + y = 200

x = 200 - y

Now we can substitute this expression for x into the second equation:

3.00x + 3.25y = 640

3.00(200 - y) + 3.25y = 640

600 - 3.00y + 3.25y = 640

0.25y = 40

y = 160

So we know that the merchant needs to use 160 pounds of coffee worth $3.25 per pound.

We can use the first equation to solve for x:

x + y = 200

x = 40

So the merchant needs to use 40 pounds of coffee worth $3.00 per pound.

Therefore, the merchant should use 40 pounds of coffee worth $3.00 per pound and 160 pounds of coffee worth $3.25 per pound to make the desired blend.

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In eleven years ted will be 22 years old ? How old is he now ?

Answers

Ted is 11 years old right now.

This is because:

22 - 11 = 11

If Ted would be 22 in 11 years, just take subtract 11 from 22 which gives you 11. Ted is 11 now.

Write an expression for the calculation 84 divide into sevenths added to 9 divided into thirds

Answers

84(1/7)+9(1/3)
The 84 is divided by the 1/7th and the 9 is divided by the 1/3. They are then added.

is 1.99 a rational number?

Answers

Yes, an irrational number cannot be counted, for example, pi is an irrational number.
Yes! 1.99 is a rational number

Parallel to[tex]y= \frac{3}{4} x-4 [/tex]; through (-4,1)

Answers

Answer:  " y = [tex] \frac{3}{4} [/tex] x + 4 " .
_________________________________________________
Explanation:
_________________________________________________
We are given an equation in "slope intercept form" ; that is; in the form of :

"y = mx + b" ;  in which "y" in isolated on the left-hand side of the equation; with "no-coefficient" (except for the "implied coefficient" of "1");  

                      in which: "m" is the slope of the line; and the coefficient of "x";  and "b" is the "y-intercept" (or the value of the "y-coordinate" of the graph when "x = 0" ;  
______________________________________________
  We are given:  " y = [tex] \frac{3}{4} [/tex]x − 4 " ;  
 
in which the slope; "m", is "[tex] \frac{3}{4} [/tex]" .

Since we want to write the equation, in slope-intercept form, for the line PARALLEL to the given line; we known that the "line" that is "parallel" will have the same slope".

So we can write:  " y = [tex] \frac{3}{4} [/tex] x + b" .  

Note that we are instructed to find the "parallel line" that passed through:

 "(-4, 1)" ; 
______________________________________________________
So, in the aformentioned equation, we substitute "-4" for "x" ; and "1" for "y"; to solve for "b" ;
______________________________________
   y = [tex] \frac{3}{4} [/tex] x + b ;

   1  =  [tex] \frac{3}{4} [/tex] * -4  + b ;

→  1 = -3 + b ;

↔ b + (-3) = 1 ;    

↔ b − 3 = 1 ;  

Add "3" to each side of the equation:

b − 3 + 3 = 1 + 3 ;

→ b = 4  .  
______________________________
Now, since we now that "b" is "positive 4" ; we can write the equation of the parallel line:

" y = [tex] \frac{3}{4} [/tex] x + 4 " .
__________________________________________________

A local charity is selling seats to a basketball game seats cost $20 each and snacks cost an additional $5 the charity needs to raise $400 to consider this event a success

Answers

(20+5) x = 400

x = 16

Hi!

Which of the following is closest to 0.0432

A) 4 times 10 to the power of negative 2
B) 4 times 10 to the power of negative 1
C) 4 times 10 to the power of positive 1
D) 4 times 10 to the power of positive 2

Answers

The answer is: "4 times 10 to the power of negative 2" .  {"4 * 10⁻² " } .
______________________________________
Note:  The number provided is:
__________________________
  "0.0432" ;  which equals:  "4.32 * 10⁻² " .
______________________________________

Final answer:

The exponential form closest to the number 0.0432 is  4 times 10 to the power of negative 2, because it gives us 0.04 which is very close to 0.0432. So the correct option is A.

Explanation:

The student is asking which exponential form is closest to the number 0.0432. To express a number in scientific notation, we move the decimal point to the right or left to create a new number from 1 up to 10, and then we multiply this number by 10 raised to a power that corresponds to the number of places the decimal point was moved.

If we look at the options given:

A) 4 times 10 to the power of negative 2 would be equivalent to 0.04, which is very close to 0.0432.B) 4 times 10 to the power of negative 1 is 0.4, which is much larger than 0.0432.C) 4 times 10 to the power of positive 1 is 40, andD) 4 times 10 to the power of positive 2 is 400, both of which are drastically larger than 0.0432.

Therefore, the correct answer is A) 4 times 10 to the power of negative 2, because it is the option closest to 0.0432.

A cylinder has a radius of 12 m and a height of 9 m. What is the exact volume of the cylinder? 108π m³ 216π m³ 972π m³ 1296π m³

Answers

V= πr^2h
V = π * 12^2 * 9
= 1296π

the answer is 1296 i think i could be wrong

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