(HELP PLEASE)A school track is pictured
below. The straightaway on
each side measures/100 yards.
The curves are semicircles with
diameter 36 yards. What is the
distance, in yards, around the
entire track? Use the button
on your calculator and express
your answer to the nearest
hundredth.

(HELP PLEASE)A School Track Is Picturedbelow. The Straightaway Oneach Side Measures/100 Yards.The Curves

Answers

Answer 1

Around [tex]312.57[/tex] yards are required to complete a full lap of the circuit.

What's the easiest way to define distance?

The entire movement of an item, independent of direction, is called distance. Regardless of an object's beginning or finishing position, distance may be defined as the amount of ground it has travelled.

Describe a distance example.

As a result, distance is indeed a scalar quantity. The whole path an item has taken can be used to define the distance from it. Think about it this way. If a car drives 5 km east, then turns to head north for 8 km, the final distance driven by the automobile must be 13 km.

The circumference of a semicircle with diameter d is [tex](pi/2)d[/tex]. Therefore, the length of each semicircular section is [tex](pi/2) * 36 = 18pi[/tex].

The total distance around the track is the sum of the lengths of the two straight sections and the two semicircular sections.

Distance around track [tex]= 2(100 yards) + 2(18pi yards)[/tex]

[tex]= 200 yards + 36pi yards[/tex]

[tex]= 312.57 yards[/tex] (rounded to two decimal places)

Therefore, the distance around the entire track is approximately [tex]312.57[/tex]yards.

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Related Questions

the opposite of the oppsite of 28,or (-28),is equivalent to which of the following
0
-28
28​

Answers

The opposite of the oppsite of 28,or (-28), is equivalent to the option (c) 28

How to determine the equivalent expression

The opposite of a number is the number with the opposite sign.

For example, the opposite of 28 is -28, and the opposite of -28 is 28.

So, the opposite of the opposite of 28, or (-28), is the opposite of -28, which is 28.

This means that the answer is (c) 28.

To explain it further, think of the number line. 28 is a positive number, so its opposite is a negative number, which is -28.

Now, the opposite of -28 is a positive number, which is 28. So, the opposite of the opposite of 28 is 28.

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Help please I got 5.76 I don’t know if that’s right

Answers

Evaluating the linear equation in x = 19 we can see that the temperature was 5.76 degrees, so your answer is correct.

How to predict the temperature?

Here we have a linear equation that relates the wind temperature with the wind's velocity.

The linear equation is:

y = -0.36*x + 12.6

Where y is the temperature and x is the wind speed. We want to find the temperature when the speed is 19 miles per hour, to get it, just replace x by 19 in the linear equation above, then we will get:

y = -0.36*19 + 12.6

y = -6.84 + 12.6

y = 5.76

So your answer is correct.

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What is the volume of this cone?

Answers

The volume of the cone is  2119. 5 cubic centimeters

How to determine the volume of the cone

The formula used for calculating the volume of a cone is expressed as;

V = πr² h/3

Given that the parameters are namely;

V is the volume of the cone.π takes the constant value of 3.14h is the height of the cone.r is the radius of the cone.

Now, substitute the values, we have;

Volume , V = 3.14 × 15² × 9/3

Divide the values, we have;

Volume = 3.14 × 225 × 3

Multiply the values, we get;

Volume, V = 2119. 5 cubic centimeters

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Calculate the area of a square with sides of 5 inches. a. 20 inches b. 20 square inches c. 25 inches d. 25 square inches

Answers

Answer:  d.  25 square inches

Step-by-step explanation:

What is the product of 2.5 and 7.08?

Show your work.

Answers

9.58 is your answer you line the bigger number fist and then the smallest then you add
The product is 9.58 because the equation wants you to add up the two numbers 2.5+7.08 to get a final product of 9.58

Do you guys know the answer to this please help?

Answers

Answer:37

Step-by-step explanation:

<UYW=<UYV+<VYW=36+2x=110

2x=110-36=74

x=74/2=37

If x ≠ 0 and y ≠ 0, which expression is equivalent to −4x−2 y−3 ? Responses A −4x2y3 − 4 x 2 y 3 B 14x2y3 1 4 x 2 y 3 C −4x2y3 − 4 x 2 y 3 D −4xy − 4 xy

Answers

Answer:The expression −4x−2y−3 can be written as −4/x^2y^3.

Multiplying both numerator and denominator by -1, we get 4/x^2y^3.

Hence, option A, −4x^2y^3, is equivalent to −4x−2y−3.

Step-by-step explanation:

How many quarts of pure antifreeze must be added to 5 quarts of a ​10 % antifreeze solution to obtain a 30 ​% antifreeze​ solution?

Answers

According to the solving this algebra approximately 1.43 quarts of pure antifreeze to the initial 5 quarts of 10% antifreeze solution to obtain a 30% antifreeze solution.

what is algebra?

Mathematical operations are applied to abstract symbols rather than concrete numbers in the field of algebra, which also includes other formal manipulations. The area of mathematics known as geometry is concerned with the qualities of the space that objects are in as well as the shape of the objects themselves.

According to the given information:

Let Q be the number of quarts of pure antifreeze to be added.

Let 0.10(5) be the amount of antifreeze in the initial 5 quarts of the 10% antifreeze solution, which is 0.5 quarts.

To obtain a 30% antifreeze solution, the amount of antifreeze in the final solution should be 0.3(5+Q) quarts.

Since we are only adding pure antifreeze, the amount of antifreeze in the final solution will be the sum of the antifreeze in the initial solution and the antifreeze we add:

0.5 + Q = 0.3(5+Q)

Now we can solve for Q:

0.5 + Q = 1.5 + 0.3Q

0.7Q = 1

Q = 1/0.7

Q ≈ 1.43

Therefore, we need to add approximately 1.43 quarts of pure antifreeze to the initial 5 quarts of 10% antifreeze solution to obtain a 30% antifreeze solution.

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15. MULTIPLE CHOICE Determine which statement is true given that CBX = SML.

Answers

The statement that is true, given that ΔCBX ≅ ΔSML, would be G. XC ≅ ML.

How to find the true statement on congruent triangles ?

Given that ΔCBX ≅ ΔSML, we can use the properties of congruent triangles to determine which statement is true. The correspondence between the vertices of the two triangles is as follows:

C ↔ S

B ↔ M

X ↔ L

XC ≅ ML is true because XC corresponds to the side connecting vertices X and C in ΔCBX, and ML corresponds to the side connecting vertices M and L in ΔSML. Since the triangles are congruent, their corresponding sides are congruent.

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HELP!!!! IM GOING TO FAIL!!!

Answers

Answer10 toooooooooooo the third poewedd

Step-by-step explanation:

the length of a rectangle is represented by 4x + 1 and the width by 2x^2 - 3. Determine the area of the rectangle as a simplified expression in standard form

Answers

Hence, the simplified expression for the area of a rectangle in standard form is 8x³ + 2x² - 12x - 3.

In maths, what is a rectangle?

Having four sides, four corners, & four right angles (90°), a rectangle is an enclosed 2-D shape. A rectangle has four equal and parallel opposite sides. Having length and width as its two dimensions, a rectangle is a two-dimensional form. The length and breadth of a rectangle are determined by its longer and shorter sides, respectively.

The equation A = length x width determines the area of a rectangle. When we replace the provided length and width expressions, we obtain:

A = (4x + 1) (2x² - 3)

By combining like terms and the distribution property of multiplication, we may make this expression simpler:

A = 8x³ - 12x + 2x² - 3

A = 8x³ + 2x² - 12x - 3

So, the area of the rectangle as a simplified expression in standard form is 8x³ + 2x² - 12x - 3.

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Consider the following function.
f(x) = −2x^3 − 6x^2 + 5
(a) Use the Intermediate Value Theorem and a graphing utility to find graphically any intervals of length 1 in which the polynomial function is guaranteed to have a zero. Verify your answers by using the table feature of the graphing utility. (Select all that apply.)

(−4, −3)

(−3, −2)

(−2, −1)

(−1, 0)

(0, 1)

(1, 2)

(2, 3)

(3, 4)

(b) Use the zero or root feature of the graphing utility to approximate the real zeros of the function. (Enter your answers as a comma-separated list. Round your answers to three decimal places.)
x =

Answers

, in the presented question, we can conclude that Interval   [tex](0, 1): f(0) 5, f(1) -3[/tex], indicating that the function switches signs and has a zero in the interval  [tex](0, 1).[/tex]

What are polynomials?

Interval  [tex](4, 3): f(-4) -41, f(-3) 5,[/tex]therefore, the function reverses its sign and has a zero in the interval  [tex](-4, -3).[/tex]

Interval  [tex](3, 2): f(-3) 5, f(-2) -9,[/tex] indicating that the function changes sign and has a zero in the interval  [tex](-3, -2).[/tex]

Interval [tex](2, 1): f(-2) -9, f(-1) 1[/tex], therefore the function reverses its sign and has a zero in the interval  [tex](-€2, -1).[/tex]

Interval [tex](1, 0): f(-1) 1, f(0) 5[/tex], so the function does not change sign and the interval may or may not contain a zero [tex](-1, 0).[/tex]

Interval  [tex](0, 1): f(0) 5, f(1) -3,[/tex] indicating that the function switches signs and has a zero in the interval  [tex](0, 1).[/tex]

Therefore, in the presented question, we can conclude that Interval   [tex](0, 1): f(0) 5, f(1) -3[/tex], indicating that the function switches signs and has a zero in the interval  [tex](0, 1).[/tex]

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If f(x)= 4x/x-3
then determine the value of f^-1 (inverse) (16) Explain or show how you arrived at your answer.

Answers

Answer:32+ 1.21

Step-by-step explanation:

if you really want an awser you would take all the nubers and sfhgkjfqipjghwpkrejvhbwptijgbqkejnvwpigtnjuvrepiufgnjwrekjbhartio

there are 250 n each has a mass of 5.2x10 to the negative 3 power kilograms.What is the total mass in kilograms in decimal form

Answers

Answer:

the total mass of the 250 objects is 1.3 kilograms.

Step-by-step explanation:

To find the total mass of the 250 objects, we need to multiply the mass of each object by the number of objects:

Total mass = mass per object x number of objects

The mass per object is given as 5.2x10^-3 kg, and the number of objects is 250. So, we can calculate the total mass as follows:

Total mass = 5.2x10^-3 kg x 250

Total mass = 1.3 kg

18.A singer sells a single as a music download and CD, making a total profit of £246.64
She sells 456 CD singles, earning 35p for every single sold.
She earns 17p for each music download of the single.
How many music downloads did she sell?

Answers

The singer sold 512 music downloads.

What is equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13. 2x - 5 and 13 are expressions in this case. These two expressions are joined together by the sign "=".

Let's use the following variables:

CD = the number of CD singles sold

DL = the number of music downloads sold

From the problem, we know the following:

CD + DL = total number of singles sold

CD = 456

The profit from selling CD singles is 35p = £0.35 per CD single

The profit from selling music downloads is 17p = £0.17 per music download

The total profit is £246.64

Using the information above, we can set up two equations based on the profits earned from selling CD singles and music downloads:

0.35 * CD = profit from CD sales

0.17 * DL = profit from download sales

And we know that the sum of these two profits equals the total profit:

0.35 * CD + 0.17 * DL = 246.64

Substituting CD = 456, we get:

0.35 * 456 + 0.17 * DL = 246.64

Simplifying this equation, we get:

159.6 + 0.17 * DL = 246.64

0.17 * DL = 87.04

DL = 512

Therefore, the singer sold 512 music downloads.

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PLEASE HELP Area of Cross Sections

Answers

Answer:

396 in²

Step-by-step explanation:

To answer this question we need to use pythagorean theorem (a² + b² = c²)

In our case, a would be 14 and b would be 17

14² + 17² = ?²196 + 289 = 485[tex]\sqrt{485}[/tex] = 22.02

Now we have to multiply this by 18

22.02 x 18 = 396.36

Which rounded would be 396

Hope this helps, have a lovely day! :)

Greg covered the back of the picture with a piece of felt. The picture is 1 1/4 inches shorter than the fram and 1 inch less in width what is the area of the felt

Answers

The area of the felt is (5L - 4W - 5) / 4 (inches)².

What is an area?

To find the area of the felt, we need to know the dimensions of the picture and the frame.

Let's say the length of the frame is L and the width of the frame is W.

Then, according to the problem:

The length of the picture is 1 1/4 inches shorter than the frame, so its length is L - 1 1/4 = (4L - 5) / 4 inches.The width of the picture is 1 inch less than the frame, so its width is W - 1 inches.

To find the area of the felt, we need to subtract the area of the picture from the area of the frame. The area of the frame is L x W, and the area of the picture is (4L - 5) / 4 x (W - 1). So the area of the felt is:

Felt area = Frame area - Picture area

= L x W - (4L - 5) / 4 x (W - 1)

= (4LW - 4W) / 4 - (4LW - 5L - 4W + 5) / 4

= (5L - 4W - 5) / 4

Therefore, the area of the felt is (5L - 4W - 5) / 4 (inches)². Note that we can't simplify this expression further without knowing the specific values of L and W.

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Complete question is: Greg covered the back of the picture with a piece of felt. The picture is 1 1/4 inches shorter than the fram and 1 inch less in width the area of the felt is (5L - 4W - 5) / 4 (inches)².

Which of these points are 5 units away from (-6, -3)? Select all that apply.
(-3, -7)
(-2,-7)
(-2, 0)
(-9, -1)

Answers

Answer:(-3, -7)

Step-by-step explanation: (7-3,-) look the middle is (3,-6)        and instead on   7 is 6 bec in 7-

Suppose 50 rabbits are on Groff Farm… TRIPLING every SIX MONTHS…

How many rabbits after 5 years?

Answers

In 5 years there will be 12 150 rabbits.

50x3=150
150x3=450
450x3=1350
1350x3=4050
4050x3=12150

I need help ASAP.I m really confused with it

Answers

The answer would be 1/4 because I divided 8 and 40 which I got 5 then divided 5 by 20

The scatterplot of the data below models what type of correlation?

Answers

Answer:

asdfasdfasdf

Step-by-step explanation:

asdf

An air tank of 500 mL is 80% oxygen and 20% nitrogen. What is the amount of oxygen in milliliters in a 200 ml air tank that contains the same ratio?​

Answers

Hence, 160 mL of oxygen is contained inside a 200 mL air tank using the same ratio as a 500 mL air tank.

How is ratio calculated?

Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were trying to compare one piece of data (A) to some other data point (B). We are multiplying information A by data B, as this suggests. In the event that A and B are both 5, for example, your ratio would've been 5/10.

80% of 500 mL of oxygen if indeed the air tank contains 80% oxygen & 20% nitrogen, which is:

0.80 x 500 mL = 400 mL

This means that the air tank contains 400 mL of oxygen and 100 mL of nitrogen.

To find the amount of oxygen in a 200 mL air tank that contains the same ratio, we need to use proportions:

If 500 mL contains 400 mL of oxygen, then 1 mL contains 400/500 = 0.8 mL of oxygen.

Therefore, if 200 mL contains the same ratio of oxygen, it will contain:

0.8 mL x 200 mL = 160 mL

So, the amount of oxygen in a 200 mL air tank with the same ratio as the 500 mL air tank is 160 mL.

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Alia has 36 1/4 inches shares of silver chain to make some braces if she needs 7 1/4 inches of the chain to make one bracelet how many bracelets can Alia
make

Answers

Answer:

To find the number of bracelets Alia can make, we need to divide the total length of the silver chain she has by the length of each bracelet.

Total length of silver chain = 36 1/4 inches

Length of each bracelet = 7 1/4 inches

To divide fractions, we need to invert the second fraction and multiply:

(36 1/4) ÷ (7 1/4) = (145/4) ÷ (29/4) = (145/4) x (4/29) = 5

Therefore, Alia can make 5 bracelets with the given amount of silver chain.

Answer:

5 bracelets

Step-by-step explanation:

Given Information:

Amount of chain needed for 1 bracelet: 7 1/4 inchesTotal chain length: 36 1/4 inches

Clearly, the number of bracelets possible (say x) multiplied by the amount of chain required for 1 bracelet will result in the total chain length (36 1/4).

⇒ 7 1/4 × x = 36 1/4

Now, we can divide 7 1/4 on both sides to find value of x (total bracelets).

⇒ (7 1/4 × x)/(7 1/4) = (36 1/4)/(7 1/4)⇒ x = (36 1/4)/(7 1/4) = 5

Therefore, Alia can make 5 bracelets.

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16 Triangle ABC is translated to triangle A'B'C' by
the following motion rule.
(x, y)(x+2y-5)
-8 -6
G
A. (4,-4)
B. (2,-5)
C. (0.6)
D. (-2.5)
N
8
6
B
-2
S
-6
-8
2
What will be the coordinates of A'?
6 8

Answers

Answer:

To find the coordinates of A' after the translation, we need to apply the motion rule to the coordinates of A:

(x, y) → (x + 2y - 5, y - 6)

Substituting the coordinates of point A, which is (4, -4), into this motion rule, we get:

A' = (4 + 2(-4) - 5, -4 - 6) = (-3, -10)

Therefore, the coordinates of A' after the translation are (-3, -10).

Question 7 of 10
AFGH is a right triangle.
9
6
G
√45
H
A. True
OB. False

Answers

Yes, it is true that Triangle FGH is a right triangle.

How can this be determined?

We check whether the Pythagorean theorem holds true for these sides to determine if this triangle is a right triangle. According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the right triangle's legs.

a² + b² = c²

If this is a right triangle, the hypotenuse will be the longest side, and the other two sides will be the legs. We have these when we incorporate the Pythagorean theorem.

6²+(√45)² = 9²

36+45 = 81

which implies that  right triangle because the assertion is true.

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Find the foci of the hyperbola 4y2-x2=16

Answers

The foci of the hyperbola is  (0,2[tex]\sqrt5[/tex]) and ([tex]0,-2\sqrt5)[/tex].

What is foci of the hyperbola?

The two fixed points that are located inside each curve of a hyperbola are known as its foci, and they are important for the formal description of the curve.

Here the given equation of the hyperbola is [tex]4y^2-x^2=16[/tex] .

Now writing the given equation into standard form then,

=> [tex]4y^2-x^2=16[/tex]

=> [tex]-x^2+4y^2=16\\[/tex]

=> [tex]\frac{-x^2}{4}+\frac{4y^2}{4}=\frac{16}{4}[/tex]

=> [tex]\frac{-x^2}{4}+y^2=4[/tex]

=> [tex]\frac{-x^2}{4\times4}+\frac{y^2}{4}=1[/tex]

=> [tex]\frac{-x^2}{16}+\frac{y^2}{4}=1[/tex]

Here we know that [tex]\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1[/tex] then a=2 and b=4 , (h , k)=(0,0)

Then c=[tex]\sqrt{a^2+b^2}=\sqrt{2^2+4^2}=\sqrt{4+16}=\sqrt{20}=2\sqrt{5}[/tex].

Then foci is (0,0+c) and (0,0-c) then,

=> (0,2[tex]\sqrt5[/tex]) and ([tex]0,-2\sqrt5)[/tex]

Hence the foci of the hyperbola is  (0,2[tex]\sqrt5[/tex]) and ([tex]0,-2\sqrt5)[/tex].

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type an equation for the following pattern x12345 y-2 -4 -6 -8 -10

Answers

Answer:  y = -2 - 2 * (x - 1).

Step-by-step explanation: The pattern is a linear function with a slope of -2 and an intercept of -2. The slope of a line is the change in y over the change in x. In this case, the change in y is -2 and the change in x is 1. Therefore, the slope is -2/1 = -2. The intercept is where the line crosses the y-axis, which is at y = -2 when x = 1. Therefore, the equation of the line is y = mx + b where m is the slope and b is the intercept. Substituting m = -2 and b = -2 gives us y = -2 - 2 * (x - 1).

Hope this helps, and have a great day!

Solve the following linear programming problem. Maximize: z = 7x + 2y subject to: 7x-y≤ 16 2x+y≥ 10 X≥2 y≤9 The maximum value is​

Answers

Answer:

To solve the linear programming problem, we need to first graph the feasible region determined by the constraints, and then evaluate the objective function at each corner point of the feasible region to find the maximum value of z.

Plotting the lines corresponding to the inequalities, we get:

Graph of the feasible region:

The feasible region is the shaded polygon in the graph. We can see that the vertices of the feasible region are (2, 9), (2, 12), (4, 7), and (8, 2).

Next, we evaluate the objective function at each of these vertices to find the maximum value of z.

At (2, 9): z = 7x + 2y = 7(2) + 2(9) = 23

At (2, 12): z = 7x + 2y = 7(2) + 2(12) = 31

At (4, 7): z = 7x + 2y = 7(4) + 2(7) = 35

At (8, 2): z = 7x + 2y = 7(8) + 2(2) = 58

Therefore, the maximum value of z is 58, which occurs at the point (8, 2).

Hence, the answer is: the maximum value of z is 58.

Para prepara un pastel Anita tenía un paquete de harina de 1 1/3 si solo uso 3/6 kg del paquete que cantidad de harina le sobró

Answers

Para preparar un pastel, Anita tenía un paquete de harina de 1 1/3 kg:  0.83 kg


Primero, debemos convertir 1 1/3 kg a una fracción común. 1 1/3 kg es igual a 4/3 kg o 1.33 kg. Luego, podemos simplificar 3/6 a 1/2.
Ahora podemos restar 1/2 de 1.33 kg para encontrar la cantidad de harina que sobró.
1.33 kg - 1/2 kg = 1.33 kg - 0.5 kg = 0.83 kg
Entonces, Anita le sobró aproximadamente 0.83 kg de harina después de preparar su pastel.
Es importante recordar que la medición y las cantidades de los ingredientes son cruciales al preparar cualquier receta de cocina. Es importante seguir las instrucciones cuidadosamente para obtener resultados exitosos en la cocina.

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f(x) = x². What is g(x)?
WW
(3, 1)
g(x)
-5
y f(x) = x²
5
Click here for long description
A. g(x) = 3x²
B. g(x) = (x)²
2
C. g(x) = x²
2
D. g(x) = (x)

Answers

Finding [tex]g(x)[/tex] given that we know [tex]f(x)[/tex] and the graphs for both functions. The correct option is D:

[tex]g(x) = (x/3)^2[/tex]

How to find g(x)?

Looking at the graph on the image, we notice that [tex]f(x)[/tex] and [tex]g(x)[/tex] are two quadratic functions, and [tex]g(x)[/tex] is just a dilation o f[tex]f(x)[/tex].

This means that:

[tex]g(x) = A*f(x)[/tex]

Where A is a real number.

We know that:

[tex]f(x) = x^2[/tex]

By looking at the graph in the image, we know that [tex]g(3) = 1[/tex].

Then we can write:

[tex]g(3) = A*f(3) = A*3^2 = 1[/tex]

We can now solve for A:

[tex]A*3^2 = 1[/tex]

[tex]A*9 = 1[/tex]

[tex]A = 1/9[/tex]

We will have:

[tex]g(x) = (1/9)*f(x) = (1/9)*x^2 = (x/3)^2[/tex]

Therefore, the correct option is D.

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