In case of a 2.5% increase in your pay which is now $25,000, your new salary will be $25,625.
First, you need to determine the percent increase i.e.2.5% of 25,000 (old salary),
2.5% x 25,000 = ?
2.5/100 x 25,000 = 625
So, the $625 would be the increased amount in your salary which is equal to 2.5% of your old salary (i.e. 25,000).
In order to find out the amount of your new salary that you will be receiving, you have to add the increased amount to the amount of your old salary, as follows:
amount of the new salary = amount of the old salary + percent increase
= $25,000 + $625
= $ 25,625
When an increase of 2.5% is made in your salary which is now $25,000, then your new salary becomes $25,625.
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If Michael is 63 inches tall and he can jump to touch the top of the doorframe which is 94 inches tall, how high can Michael jump?
Answer:
Michael can jump 31 inches high. This can be calculated by subtracting his height (63 inches) from the height of the doorframe (94 inches), which gives a difference of 31 inches.
An online clothing company sells custom sweatshirts. The company charges $2.99 for shipping plus $8.00 for each sweatshirt. Write a linear function rule that models the total cost y (in dollars) for any number of sweatshirts x.
Use pencil and paper. Describe how the linear function rule would change if the shipping charge applied to each sweatshirt.
Answer:
y = 8x + 2.99
y =10.99x if the shipped was charger per shirt.
Step-by-step explanation:
For the first equation, the shipping charge in 2.99 if you buy 1 shirt or 100 shirts. It is an initial or one time fee, but you have to pay $8 for each shirt. I shirt 8, 2 shirts 16, 3 shirts 24 and so on.
In the second equation you are paying 2 and the shipping for each shirt.
That function is when the shipping charge is a one time fee.
If the shipping charge applied to each sweatshirt, then the total cost function would be y = 10.99x
===================================================
Explanation:
x = number of sweatshirts
Since each shirt costs $8, the expression 8x is the total cost of the shirts if we ignore shipping. Add on shipping to get 8x+2.99 as the actual total cost. This wouldn't include taxes or any other potential fees.
Adding on the 2.99 means it's a one time charge. This assumes all of the sweatshirts you buy is able to be shipped in one box.
---------------
If we changed it so that the shipping applied to each shirt (instead of each box), then the 2.99 would become 2.99x
That would mean the total cost becomes y = 8x+2.99x which fully simplifies to y = 10.99x
It says that the cost per shirt is really $10.99
Share 18£ in ratio 4:5
well, we can simply divide £18 by (4 + 5) and then distribute accordingly
[tex]\stackrel{\text{\LARGE }}{4\cdot \frac{18}{4+5}}~~ : ~~\stackrel{\text{\LARGE }}{5\cdot \frac{18}{4+5}}\qquad \implies\qquad \stackrel{\text{\LARGE }}{4\cdot 2}~~ : ~~\stackrel{\text{\LARGE }}{5\cdot 2}\qquad \implies\qquad \stackrel{\text{\LARGE }}{8}~~ : ~~\stackrel{\text{\LARGE }}{10}[/tex]
What is an example of exponential form?
The exponential form is a way of writing repeated multiplication with involving base and exponents and its examples are 5³ , 6² , 7² .
The Exponential Form is defined as a representation of mathematical expression that has one or more exponents.
let us take an example : the number 64 can be written as
= 4 × 4 × 4
= 4³, here the number 4³ will be called as 4 to the power 3 or 4 raised to the power 3 .
Some more examples of exponential form representation are : 32 = 2⁵ , 8 = 2³ , 81 = 3⁴ .
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An example of exponential form is 2^4, which is equal to 16.
2^4 = 2 x 2 x 2 x 2 = 16
Exponential form is a way of writing numbers that involves a base number (in this example, 2) and an exponent (in this example, 4). The base number is multiplied by itself the number of times indicated by the exponent. In this example, the base number (2) is multiplied by itself 4 times, resulting in 16. Exponential form is often used to express large numbers in a more compact form. It is also used to represent scientific notation, which is a way to write very large or very small numbers in a convenient form. Exponential form can also be used to represent repeated multiplication. For example, 2^4 represents 2 multiplied by itself 4 times. This is a simpler and more compact way of expressing the same calculation than writing out 2 x 2 x 2 x 2 = 16.
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Examine the system of equations. x 3y = 7, 2x 4y = 9 which variable would be the most efficient to solve for? x in the first equation y in the first equation x in the second equation y in the second equation
It would be more efficient to solve for x in the first equation
The most efficient variable to solve for is the one which appears in one equation only because if solved for the variable that appears in both the equations, it will require more steps.
In the given equation both x and y appear in both the equation, so solving for x or y in either equation would be same, but solving for x in the first equation will be more efficient as the coefficient of x is 1.
It will be solved as:-
x=7-3y
2(7-3y)+4y=9
14-6y+4y=9
-2y=9-14
y=(-5)/(-2)=2.5
x=7-3(2.5)=7-7.5=-0.5
Solving for x in the first equation will be the most efficient approach.
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The solution to the given system of equations is (-0.5, 2.5).
So, x in the first equation
Now, According to the question:
Let's know:
What is a linear system of equations?
A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The system of equations are:
x + 3y = 7 ---(1)
2x + 4y = 9---(2)
From equation (1), we have x=7-3y
So, substitute x=7-3y in equation (2), we get
2 × (7-3y)+4y=9
⇒ 14-6y+4y=9
⇒ 14-2y=9
⇒ 2y=5
⇒ y=2.5
Substitute y=2.5 in equation (1), we get
x+3 × (2.5)=7
⇒ x + 3 × (2.5)=7
⇒ x= -0.5
So, the solution to the given system of equations is (-0.5, 2.5)
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What is the factored form of 4x² 9?
After taking the common, the factored form of [tex]4x^2-9[/tex] is (2x+3)(2x-3).
In the given question, we have to find the factored form of [tex]4x^2-9[/tex].
The following is how we factor the GCF out of a polynomial:
(1) Determine the polynomial's GCF for each term.
(2) Present each term as the GCF and another factor's product.
(3) To factor out the GCF, use the distributive property.
To solve this question we use the formula [tex](a^2-b^2) = (a+b)(a-b)[/tex]
We can write [tex]4x^2-9[/tex] as
[tex]4x^2-9[/tex] = [tex](2x)^2-(3)^2[/tex]
[tex]4x^2-9[/tex] = (2x+3)(2x-3)
Hence, the factor form of [tex]4x^2-9[/tex] is (2x+3)(2x-3).
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The complete question is:
What is the factored form of [tex]4x^2-9[/tex]?
The Hendricksons are in charge of bringing treats for 505050 football players. They brought 333 coolers of popsicles and 222 coolers of ice cream sandwiches. Each player is going to randomly select a cooler from which to get their treat
If the Hendricksons are in charge of bringing treats for 505050 football players. The statement that best predicts how many football players will get a popsicle is: C. There will be exactly 30 football players who get a popsicle.
How to find the football players that will get a popsicle?First step is to find the total cooler
Total cooler = 3+2
Total cooler = 5
Since play we have 3:2 type of color
Hence,
Number of player with popsicles = 3/5 × 50
Number of player with popsicles = 30
Number of player with sandwiches = 2/5 × 50
Number of player with sandwiches = 20
Therefore the correct option is C.
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The complete question is:
The Hendricksons are in charge of bringing treats for 50 football players. They brought 3 coolers of popsicles and 2 coolers of ice cream sandwiches. Each player is going to randomly select a cooler from which to get their treat. Which statement best predicts how many football players will get a popsicle? Choose 1 answer:
A. There will be exactly 20 football players who get a popsicle.
B. There will be close to 20 football players but not exactly 20 who get a popsicle.
C. There will be exactly 30 football players who get a popsicle.
D. There will be close to 30 football players who get a popsicle but not exactly 30 who get a popsicle
all numbers with an absolute value greater than 3 but less than 7
The solution of the statement is,
⇒ - 6, - 5, - 4, - 4, 5 , 6
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The algebraic statement is,
''All numbers with an absolute value greater than 3 but less than 7''.
Now,
The mathematical expression of the given statement is,
⇒ 3 < |x| < 7
Thus, All the possible values are;
⇒ |x| = 4, 5, 6
⇒ x = - 6, - 5, - 4, - 4, 5 , 6
Thus, All the solution of the given statement is,
⇒ x = - 6, - 5, - 4, - 4, 5 , 6
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Given (Multiplug)
MP= 500
discount percent= 11.5
What percentage of VAT can be added to the customer purchase price after the discount so that the Multiplug can be obtained for the same amount as marked price. Find it.
Answer:
To find the percentage of VAT that can be added to the customer purchase price after the discount, you can use the following formula:
VAT% = (MP - (MP * (discount%/100))) / ((MP * (discount%/100)) * (1 + (VAT%/100))) * 100
Plugging in the values you provided, we get:
VAT% = (500 - (500 * (11.5/100))) / ((500 * (11.5/100)) * (1 + (VAT%/100))) * 100
Solving for VAT%, we get:
VAT% = 15.384615384615385
Therefore, you can add 15.384615384615385% VAT to the customer purchase price after the discount so that the Multiplug can be obtained for the same amount as the marked price.
Answer:
19.6%
If this help please set brainliest.
Step-by-step explanation:
To find the percentage of VAT that can be added to the customer purchase price after the discount, you can use the following formula:
VAT % = (MP - (MP * (discount percent / 100))) / (MP * (discount percent / 100)) * 100
Plugging in the given values, we get:
(500 - (500 * (11.5 / 100))) / (500 * (11.5 / 100)) * 100 = 19.6%
This means that you can add 19.6% VAT to the customer purchase price after the discount in order to obtain the Multiplug for the same amount as the marked price.
Multiply.
15x(1/3)
A)1/45
B)1/5
C)5
D)45
Answer:
5
Step-by-step explanation:
15/3 = 5
Answer:
c. 5
Step-by-step explanation:
15 ×1/3
= 5
note: three goes into fifteen 5 and goes into itself 1 living 5 .
A set of sweater prices are normally distributed with a mean of 58 5858 dollars and a standard deviation of 5 55 dollars. What proportion of sweater prices are between 48. 50 48. 5048, point, 50 dollars and 60 6060 dollars?.
The proportion of sweater prices falling between 48.50 dollars and 60 dollars can be found by calculating the area under the normal curve for the two endpoints which is 78.38%
This can be calculated using the z-score formula, which is defined as
(x-μ)/σ, where x is the value of interest, μ is the mean, and σ is the standard deviation.
For 48.50 dollars, the z-score is
(48.50-58)/5.5 = -1.454545.
For 60 dollars, the z-score is
(60-58)/5.5 = 0.363636.
Using a z-table, the proportion of sweater prices between 48.50 and 60 dollars is 0.7838, or 78.38%.
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At what point is the tangent to horizontal?
The tangent is horizontal when the slope of the tangent is 0.
A horizontal tangent line is a mathematical feature on a graph, located where a function's derivative is zero.
Where the derivative of a function is zero, a graph's horizontal tangent line is a mathematical feature.
This is so that the derivative, by definition, can provide the slope of the tangent line.
The slope of horizontal lines is zero. As a result, the tangent line is horizontal when the derivative is zero.
Use the function's derivative to get the zeros and then insert them back into the original equation to find horizontal tangent lines.
Calculus considers horizontal tangent lines significant because they show local maximum or minimum points in the original function.
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6 of 6
Jerry's starting salary is $75,250. He earns a 4% raise every year. What will Jerry's annual salary be in the 7th year? please show work
Answer:
$96320.00
Step-by-step explanation:
Net Amount = $75,250.00
Raise = $3,010.00
3010 x 7 = 21070
21070 + 75250 = 96320
$96320.00
In an arithmetic sequence, the first term is $100$ and the fourth term is $76$. What is the value of the first term that is less than $0$
The value of the first term that is less than 0 is -4
The formula for the nth term of an arithmetic sequence is:
aₙ = a₁ + (n - 1)d
Where a₁ is the first term in the sequence, d is the common difference between terms, and n is the position of the term that we are trying to find.
If in an arithmetic sequence, the first term is 100 and the fourth term is 76, then the common difference is
aₙ = a₁ + (n - 1)d
76 = 100 + (4 - 1)d
76 = 100 + 3d
3d = 76 - 100
3d = -24
d = -8
Solve for aₙ that is less than 0.
aₙ = a₁ + (n - 1)d
aₙ = 100 + (n - 1)(-8) < 0
100 - 8n + 8 < 0
8n > 108
n > 13.5
a₁₄ = 100 + (14 - 1)(-8) = -4
Therefore, the value of the first term that is less than 0 is -4.
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true or false the functional baseline describes the required fuctionality of a system and identifies all top level fuctions that the system must perform
Yes, it is true that the functional baseline identifies all top-level functions that a system must carry out as well as the functionality that is expected of it.
Functional Baseline:The functional baseline describes the system functionality that is necessary, as well as the functional and interface features of the overall system and the verification that is necessary to show that the given functional characteristics have been achieved. An activity's effectiveness and progress can be tracked and evaluated both during implementation and after completion using the data from a baseline study as a benchmark.
The functional baseline is the authorized configuration documentation that details a system's or top-level CI's performance requirements (functional, interoperability, and interface characteristics), as well as the verification necessary to show the accomplishment of those specified characteristics.
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Examine the equation. –2(–x 9) = 2(x – 9) 2x – 18 = 2x – 18 this equation has .
Answer:
infinitely many solutions
Step-by-step explanation:
What is the volume of each cylinder?
The cylinder's capacity is 1.25 x [tex]10^{5}[/tex] and 3.28077× [tex]10^{5}[/tex] its radius and height are indicated in the illustration, accordingly.
what is volume ?The area contained by an object's limits in three-dimensional space is referred to as its volume. Another name for it is an object's capacity. The quantity of space a 3-dimensional item occupies is another way to quantify volume. A vessel's liquid content is measured in standard units and is known as the liquid measurement. Additionally, we call it the vessel's "volume" or "capacity." Both the juice bottle and the infant milk bottle have milliliter measuring marks.
given
a) r = 20 cm
h = 100 cm
V = [tex]\pi r^{2}h[/tex]
V = [tex]\pi * 20^{2} * 100[/tex]
= 1.25 x [tex]10^{5}[/tex]
b) d = 118 m = 118 / 2 = 59 m
h = 30 m
V = [tex]\pi r^{2}h[/tex]
V = [tex]\pi * 59^{2} * 30[/tex]
= 3.28077× [tex]10^{5}[/tex]
The cylinder's capacity is 1.25 x [tex]10^{5}[/tex] and 3.28077× [tex]10^{5}[/tex] its radius and height are indicated in the illustration, accordingly.
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Kellan burns 348
calories in 3 hours. How
long will it take her to
burn 870 calories?
Answer:
7.5 Hours
Step-by-step explanation:
Given:
Kellan burns 348 calories in 3 hours.
Question:
How long will it take her to burn 870 calories?
Solve:
Since, it given that KelIan burns 348 calories in 3 hours. Then we need to find how much KeIlan burns per hour.
To do that, divide the calories by the hours.
Thus, 348 divided by 3 which equals 116.
Now knowing that KeIlan burns 116 per hour will help us know how much hours it would take to burn up 870 calories.
To do that,
We have to divide 870 by 116 which equals 7.5.
Hence, it would take 7.5 hours to burn 870 calories.
RevyBreeze
Justin's company makes solid balls out of scrap metal for various industrial uses. For one project, he must make copper balls that have a radius of 6 in. If copper costs $0.75 per in^(3), how much will the copper cost to make one ball? Use 3.14 for \pi , and do not round your answer.
The cost of making the ball is $678.24.
What is the cost of the ball?
We are told in the question that Justin's company makes solid balls out of scrap metal for various industrial uses. For one project, he must make copper balls that have a radius of 6 in. If copper costs $0.75 per in^(3).
Now we have to obtain the volume of the ball. Let us recall that the ball has the shape of a sphere hence volume of a sphere is;
V = 4/3πr^3
V = 4/3 * 3.14 * (6)^3
V = 904.32 in^3
The cost of the ball is; 904.32 in^3 * $0.75
= $678.24
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Combine and simplify the following radical expression.
The radical value of the expression is 144⁵/³
What is a radical expression?You should be aware that a radical expression is defined as any expression containing a radical (√) symbol.
The given expression to be ex[pressed is
(2∛12)(3∛2)
To express this, we multiply two two brackets together to have
6∛24
Taking the cube root of 24 we have
6¹ * 24¹/³
Applying the multiplication law of indices we have
144⁵/³
In conclusion this is to say that the radical expression is 144⁵/³
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Guys please help me with this question ASAP!!
Leah and Lee hiked last weekend.
Day
Saturday| 7 3/4
Sunday| 5/ 25
Distance (Miles)
How much farther did Leah and Lee
hike on Saturday than on Sunday?
27 /20 miles farther Leah and Lee hike on Saturday than on Sunday.
How much farther did Leah and Lee?Leah and Lee hiked last weekend.
Day Saturday| 7 3/4 ,Sunday| 5/ 25 ,Distance (Miles)
Solution: lean and lee hiked last weekend and on saturday 7 3 / 4 mileson Sunday = 5 2/5 miles
so,
distance leah and lee hiked farther on Saturday than Sunday = (7 3/4 miles - 5 2/5 miles)
Leah and Lee hike on Saturday than on Sunday:
31 / 4 miles - 27 / 5 miles
( 155 - 108 ) / 20 miles
47 / 20 miles
= 27 /20 miles
27 /20 miles farther Leah and Lee hike on Saturday than on Sunday.
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q17 ANSWER FOR 20 POINTS
Answer:
18√3
Step-by-step explanation:
To simplify the expression 2√48 + 5√12, you can first simplify each of the terms inside the parentheses. The square root of 48 is equal to 4*√3, so you can rewrite the first term as:
2√48 = 2*(4√3) = 8√3
The square root of 12 is equal to 2*√3, so you can rewrite the second term as:
5√12 = 5*(2√3) = 10√3
Now that you have simplified the terms inside the parentheses, you can add them together to get:
(8√3) + (10√3) = 18*√3
So, the simplified expression is equal to 18*√3
If the circle is dilated by a scale factor of one-fourth, what will be the length of the new radius? a circle with radius of 16 centimeters. 1 cm 4 cm 20 cm 64 cm
Answer:
4
Step-by-step explanation:
A dilation of a shape's area will proportionately affect its diagonal (or in the case of a circle, its radius). Thus, we can simply multiply the scale factor (1/4) by the circle's original radius to get the length of new radius.
[tex]16 \left(\dfrac{1}{4} \right)[/tex]
[tex]= \dfrac{16}{4}[/tex]
[tex]= 4[/tex]
What is the image of (3, 3) after a dilation by a scale factor of centered at the origin
The image point of (3, 3) is (3/n, 3/n).
What is dilation?Resizing an item uses a transformation called dilation. Dilation is used to enlarge or shorten the structures. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation.
Given point (3, 3).
Let n be the scale factor.
The image of (3, 3) after dilation,
by a scale factor of n centered at the origin will be,
= (3/n, 3/n).
= (3/n, 3/n).
Therefore, (3/n, 3/n) is the image point.
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In the triangles, and . If is greater than , then is ________ . congruent to longer than shorter than the same length as
If angle C is greater than angle E, then AB is greater than. Therefore, option B: 'greater than' is the correct answer.
In the figure attached, it is seen that
BC = DE and AC= FE
Now it is required to find the relation between sides AB and DF of the two given triangles.
Since it is given that angle C of the first triangle is greater than angle E of the second triangle. So it is concluded that the opposite sides of the two triangles are in the same ratio as their angles.
Hence, the AB is greater than DF.
"
Complete question:
In the triangles,BC = DE and AC = FE. If mC is greater than mE, then AB is ________ .
A: congruent to
B: longer than
C: shorter than
D: the same length as
"
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There are seven different books to choose from. In how many ways can you arrange these books on three different shelves of a bookcase?
The number of ways to arrange the seven books on three different shelves as required is; 210 ways.
What is the number of ways to arrange the books on different shelves?It follows from the task content that the number of possible arrangements of all seven books on three different shelves be determined.
On this note, the number of possible arrangements is best described by the number of possible permutations.
On this note, the permutation which represents the number of possible arrangements is;
⁷P₃
= 210 ways.
Ultimately, the number of possible arrangements is: 210.
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The table shows the length and area of a square
patio whose equation is y = 12x - x² where x
represents the length of the side of the patio and y
represents the area of the patio.
What does the point (6, 36) represent
graphically?
The equation provided in the problem is a parabola whose maxima is at (6, 36)
What is the equation of the parabola?To determine the equation of a parabola, we can utilize the vertex form. Assuming we can read the coordinates (h,k) from the graph, the aim is to utilize the coordinates of its vertex (maximum point, or minimum point), to formulate its equation in the form y=a(x-h)²+k, and then to determine the value of the coefficient a.
Given that an equation y = 12x - x² where x represents the length of the side of the patio and y represents the area of the patio.
Since the given equation is parabolic it must have a maxima point
dy/dx = 12-2x
for maximum point dy/dx = 0
Thus,
12 - 2x = 0
x = 6
substituting this value in the function
f(x) = 12*6 + 6*6
f(x) = 36
Therefore, (6, 36) points are the maxima point of the given parabolic function. These given points show that the patio will have a maximum area at the length of 6.
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HELP PLEASE
Consider the equation xy = 0. In this equation, two variables are multiplied and the result is 0. Can the equation be true if neither variable is equal to 0? Can the equation be true if only one variable is equal to 0? If so, which one needs to be equal to 0? Can the equation be true if both variables are equal to 0?
Answer:
It is not true unless one or both variables is equal to zero. If either x, y or both is 0, then the equation will be true.
Which operation must be done on both sides of the given equation in order to solve them 1 8x =24?
Write the mission power of 10 in exponent form 0.007 X_____=7
On solving the provided question we cans ay that - the value of the following exponent is [tex]10^-5[/tex]
what are exponents?Exponentiation, often known as "b raised to the nth power," is a mathematical operation denoted by the symbol bn that involves two numbers: a base number, b, and an exponent, or power, n. Exponents show how many times a number has been multiplied by itself. As an illustration, 2-3 (written as 23) denotes: 2 x 2 x 2 = 8. 23 is not equivalent to 2 + 3 = 6. Recall that an integer raised to the power of one equals itself. A approach to express huge numbers as powers is through the use of exponents. Exponent, then, is the quantity that indicates how many times a number has been multiplied by itself. As an illustration, 6 is multiplied by 4 to provide 6 x 6 x 6 x 6. It may be expressed as 64. 4 is where
here,
[tex]10^-5[/tex] = [tex]\frac{1}{10^5}[/tex]
= 1/100000
=0.00001
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