Answers:
Drew’s tax due is 4,519.50
and his effective tax rate is 11.6%
==========================================================
Explanation:
Drew's taxable income is $39,000. Locate this value in the second column of the table and you should land on the third row (since his taxable income is between $38,701 and $82,500). The instructions for this row are:
tax owed = 4,453.50 + 22% of excess over 38,700
The last portion of that equation, the part talking about the excess, means we'll subtract 39,000 and 38,700 to get 300, and then take 22% of this to find the added stuff we tack onto the 4453.50
So,
tax owed = 4,453.50 + 22% of excess over 38,700
tax owed = 4,453.50 + 22% of (39,000 - 38,700)
tax owed = 4,453.50 + 0.22*(300)
tax owed = 4,453.50 + 66
tax owed = 4,519.50
----------------------------
Once we determine the tax owed, we divide it over the taxable income to figure out the effective tax rate
effective tax rate = (tax owed)/(taxable income)
effective tax rate = (4,519.50)/(39,000)
effective tax rate = 0.11588 approximately
effective tax rate = 0.116
effective tax rate = 11.6%
Notice how this is not 22% even though Drew is in the 22% bracket. This is because we don't take 22% of all his taxable income. The 22% only applies to the small extra portion over $38,000 which was that extra $300. The vast majority of his income is somewhere between the 10% and 12% brackets. So it makes sense that 11.6 is almost right at the midpoint.
In short, it's tempting to say that 22% is the effective rate but this is a trick answer. Instead, we divide the tax owed over the taxable income to get roughly 0.116 = 11.6%
Answer:
4,519.50
11.6%
Step-by-step explanation:
awnser photo quick please #8
Solve 83x ^ 2 + 1 = y ^ 2 by Brahmagupta's method. Begin by noting that (1, 9) is a solution to 83x ^ 2 - 2 = y ^ 2
(1, 27) is a solution of the equation. Therefore, the general solution of the given equation can be written as: (1, 9) + n (1, 27), where n ∈ Z.
Brahmagupta’s method states that if there exists a solution for a Diophantine equation, then the sum or difference of two solutions is also a solution.
The problem given is 83x² + 1 = y². Here, (1,9) is a solution of the equation 83x² - 2 = y². Let x = 1 and y = 9.
So, 83(1)² - 2 = 81 = 9²
Substituting this solution in the given equation 83x² + 1 = y², we get:
83(1)² + 1 = y²=> y² = 84
Since the sum or difference of two solutions is also a solution, we can get the remaining solution by considering the difference of the two solutions.
So, let’s consider (1,9) and (1,-9).
Since we need the difference, we will subtract the first solution from the second. Therefore, we get:(1,-9)-(1,9) = (0,-18)
Now, we can use Brahmagupta’s method. We have two solutions (1,9) and (0,-18), which means their difference will be another solution. (1,9) - (0,-18) = (1,27). Hence, (1, 27) is a solution of the equation. Therefore, the general solution of the given equation can be written as: (1, 9) + n (1, 27), where n ∈ Z.
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What is the next number in this sequence? 0.03, 0.12, 0.48, 1.92, __________
Answer:
the next number in the sequence would be 7.68
Step-by-step explanation:
you are multiplying by 4. 0.03 multiplied by 4 equals 0.12, and so on.
Which of the following is NOT considered to be a Time-Series method of forecasting?
Simple Linear Regression
Moving Average
Exponential Smoothing
Seasonality Analysis
Multiplicative/Additive Decomposition
The correct option is Simple Linear Regression. Simple Linear Regression is NOT considered to be a Time-Series method of forecasting. The other methods are Time-Series method.
Time-Series analysis is a technique for forecasting future values based on previous observations. It includes various methods such as Moving Average, Exponential Smoothing, Seasonality Analysis, and Multiplicative/Additive Decomposition. Simple Linear Regression, on the other hand, is a method of predicting the relationship between two variables through a straight-line equation. Therefore, it is not considered to be a Time-Series method of forecasting.
A moving average is a common Time-Series method that calculates the average of a specific number of past observations to forecast future values. Exponential smoothing, another popular Time-Series method, assigns more weight to recent observations than to older ones. Seasonality analysis and multiplicative/additive decomposition are also Time-Series methods that are used to analyze trends and patterns in data over time.
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Hey please help find the slope :)
Answer:
-3/4
Step-by-step explanation:
The slope of a line is the rise (change in y-value) over the run(change in x-value). From the graph we can see that the rise is -3 and the run is 4.
Therefore, the slope will be: -3/4
Hope this helps!
Express 3.23×10 ^6
in standard decimal notation.
The number 3.23×10^6, expressed in standard decimal notation, is 3,230,000. In scientific notation, a number is expressed as the product of a coefficient and a power of 10.
In this case, the coefficient is 3.23, and the power of 10 is 6. To convert this number into standard decimal notation, we need to multiply the coefficient by the corresponding power of 10. The power of 10, in this case, is 10^6, which means 10 raised to the power of 6. This is equivalent to 1 followed by six zeros: 1,000,000. To obtain the standard decimal notation, we multiply the coefficient, 3.23, by 1,000,000.
Calculating the multiplication, we have:
3.23 × 1,000,000 = 3,230,000.
Hence, the number 3.23×10^6, expressed in standard decimal notation, is 3,230,000. This means that the number is equal to 3.23 million.
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find an equation of the tangent line to the given curve at the specified point. y = e^x / x , (1, e)
y = e is the equation of the tangent line to the given curve at the specified point , y = \(e^{x}\) / x , (1, e)
Through the coordinate geometry formal of point-slope form, the equation of tangent and normal can be calculated.
The tangent has the equation (y - y1) = m(x - x1), and a normal travelling through this point and perpendicular to the tangent has the equation (y - y1) = -1/m (x - x1).
thus , y' = \(\frac{e^{x}-xe^{x} }{x^{2} }\)
y'(1) = 0 = m
Our slope is indicated by the horizontal line.
y−\(y_{1}\)=m(x−\(x_{1}\))
Our line will simply be our y-coordinate because our slope(m) is 0:
e
Therefore:
The tangent line's equation is y=e.
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Find nonzero scalars a and b so that 4v + a(6v – 3w) + b(4v + 7w) = 0 for every pair of vectors v and w. (Express numbers in exact form. Use symbolic notation and fractions where needed.)
Therefore, the nonzero scalars a and b are -14/27 and -4/18, respectively.
What is vector?In mathematics, a vector is an element of a vector space that has both magnitude and direction. Geometrically, a vector can be represented as an arrow, where the length of the arrow represents its magnitude and the direction of the arrow represents its direction. Vectors are used in many fields of mathematics and science, including physics, engineering, computer graphics, and more. They can be added together and multiplied by scalars to create new vectors.
Here,
First, we can simplify the left-hand side of the equation:
4v + a(6v – 3w) + b(4v + 7w) = (4 + 6a + 4b) v + (-3a + 7b) w
For this equation to be true for every pair of vectors v and w, the coefficients of v and w must be equal to zero. Therefore, we have the following system of equations:
4 + 6a + 4b = 0
-3a + 7b = 0
6a+4b=-4
-3a+7b=0
6a+4b=-4
-6a+14b=0
18b=-4
b=-4/18
3a=7b
a=7b/3
a=7/3*-4/18
a=-14/27
Solving for a and b, we get:
a = -14/27
b = -4/18
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Help me please, will mark brainliest
Answer:
4. 25.1
5. 40.8
6. 22
Step-by-step explanation:
4. c = 2•π•4
5. c = 2•π•6.5
6. c = 2•π•3.5
why is paying back along with a nominal interest rate of 13.62% if the interest is compounded quarterly, how much greater is white effective interest rate than his nominal interest rate
The required white effective interest rate is 0.71% more than his nominal interest rate.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Here,
White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent
So
Difference in interest = 14.33%-13.62%
=0.71%
Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.
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According to Gopnik. How do you ask babies what they think, since most are just barely walking and talking?What was the difference between the responses from the 15-month-old and the 18 month-olds?Gopnik discusses a correlation between a long childhood and knowledge and learning, explain this correlation. Gopnik mentions that "the children are doing statistics," what does she mean by this?Do you think that babies are more or less conscious than adults? Explain
According to Gopnik, to ask babies what they think, scientists must use experimental methods.
The 18-month-olds had a more advanced understanding of language and object permanence.
Gopnik states that a long childhood gives the child a great deal of time to learn from and interact with their environment.
By saying "the children are doing statistics" Gopnik means that babies are capable of forming and processing complex patterns of information.
I believe babies are less conscious than adults.
According to Gopnik, the way to ask babies what they think is through experiments that test their abilities and responses to different situations such as showing them images of objects and measuring their eye-movement or using language probes and examining their response to questions. For example, she discusses an experiment where babies are shown a box with a toy inside and then the box is moved to a different location. The babies are then observed to see if they look for the toy in the new location or the old location. This can give insight into their understanding of object permanence.
The difference between the responses of the 15-month-old and the 18-month-old babies in the experiment was that the 15-month-olds tended to look for the toy in the old location, while the 18-month-olds looked for it in the new location. This suggests that the 18-month-olds have a better understanding of object permanence than the 15-month-olds.
Gopnik discusses a correlation between a long childhood and knowledge and learning by explaining that humans have a longer childhood than other animals, which allows for more time to learn and acquire knowledge. This extended period of learning is what allows humans to develop complex skills and abilities.
When Gopnik mentions that "the children are doing statistics," she means that they are making predictions and drawing conclusions based on the information they have observed. For example, if a child sees that a ball always bounces when it is dropped, they will predict that it will bounce the next time it is dropped.
In my opinion, babies are more conscious than adults in some ways and less conscious in others. Babies are more aware of their immediate surroundings and are constantly taking in new information and learning from it. However, they are less conscious of abstract concepts and long-term consequences than adults.
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Malia is playing a target game with her friends. Each player throws a bean bag times toward a target on the ground. The distance between the bean bag and the target is recorded for each throw. The player with the lowest mean distance of all throws wins the game. The list shows the recorded distance, in , of Malia's first throws. , , , , , , Malia is the last player in the game. Her mean distance must be less than to win the game. What is the minimum distance, in , between the bean bag and the target that Malia needs on her last throw to win the game? Enter the answer in the box.
The minimum distance that Malia needs on her last throw to win the game is less than 2.12 meters.
How to determine distanceIn this target game, Malia needs to have the lowest mean distance of all throws to win. The mean distance is calculated by adding up all the distances and dividing by the number of throws.
First, we need to calculate the mean distance of Malia's first 7 throws.
Mean distance = (2 + 3 + 4 + 2 + 5 + 3 + 4) / 7 = 3.14
Now, we know that Malia's mean distance must be less than 3.14 to win the game. Let's call the distance of her last throw x.
The mean distance of all 8 throws will be: (2 + 3 + 4 + 2 + 5 + 3 + 4 + x) / 8
To find the minimum distance that Malia needs on her last throw to win the game, we can set up an inequality:
(2 + 3 + 4 + 2 + 5 + 3 + 4 + x) / 8 < 3.14
Multiplying both sides by 8 gives us:
2 + 3 + 4 + 2 + 5 + 3 + 4 + x < 25.12
Simplifying gives us:
x < 25.12 - 23
x < 2.12
Therefore, the minimum distance that Malia needs on her last throw to win the game is less than 2.12 meters.
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Ruchi measured the area of her kitchen as 2. 81 times 10 Superscript 4 square units. When she recorded the area, she wrote 2. 81 times 10 Superscript 4 square feet. Which statement about her labeling of the units is true? She is correct because dimensions of rooms must always be measured in feet and area would be square feet. She is correct because 2. 81 times 10 Superscript 4 ftSquared is equivalent to 2, 810 ftSquared, which is an average size for a kitchen since area is always so much more than length. She is incorrect because 2. 81 times 10 Superscript 4 is around 30,000 so the units must be smaller than feet. She most likely measured in inches. She is incorrect because 2. 81 is a small number. She probably measured in yards to arrive at such a small value.
Ruchi is incorrect because 2.81×10⁴ is around 30,000. so the units must be smaller than feet.
What is Units conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
As it is given that the measurement that Ruchi wrote is 2.81×10⁴ ft². And, the area of 2.81×10⁴ ft² is 28,100 ft² which is nearly 30,000 ft², while the size of an average house is 2,300 ft². Therefore, the area that is written by Ruchi is too big compared to an average kitchen.
Hence, Ruchi is incorrect because 2.81×10⁴ is around 30,000 so the units must be smaller than feet.
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1. Given triangle QRS ≈ triangle TUV, line QS = 4v + 5, and line TV = 5v - 8, find the length of QS and TV.
2. Given triangle ABC ≈ triangle PQR, MangleB = 2v + 1, and MangleQ = 8v - 5, find MangleB and MangleQ.
Applying the definition of congruent triangles:
1. QS = 57 units; TV = 57 units
2. m∠B = 3°; m∠Q = 3°
What are Congruent Triangles?The triangles that are congruent to each other have corresponding parts that are congruent, that is their corresponding sides and angles are equal to each other.
1. Given that triangles QRS and TUV are congruent triangles, therefore:
QS = TV [corresponding congruent sides]
QS = 4v + 5
TV = 5v - 8
Therefore:
4v + 5 = 5v - 8
4v - 5v = -5 - 8
-v = -13
v = 13
QS = 4v + 5 = 4(13) + 5 = 57 units
TV = 5v - 8 = 5(13) - 8 = 57 units
2. Given that triangles ABC and PQR are congruent, therefore:
m∠B = m∠Q
m∠B = 2v + 1
m∠Q = 8v - 5
Therefore:
2v + 1 = 8v - 5
2v - 8v = -1 - 5
-6v = -6
v = -6/-6
v = 1
m∠B = 2v + 1 = 2(1) + 1 = 3°
m∠Q = 8v - 5 = 8(1) - 5 = 3°
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If y = 4 find slope, X-intercept and y-intercept.
Answer:
An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero
Point K is on line segment \overline{JL} JL . Given JL=4x,JL=4x, JK=2x+3,JK=2x+3, and KL=x,KL=x, determine the numerical length of \overline{KL}. KL .
Answer:
KL = 3
Step-by-step explanation:
Point K is on line segment \overline{JL} JL .
Given:
JL=4x
JK=2x+3
KL=x
Determine the numerical length of KL .
Note that:
J-------K-------L
JK + KL = JL
Step 1
We solve for x
JL = JK + KL
4x = 2x + 3 + x
4x = 3x + 3
Collect like terms
4x - 3x = 3
x = 3
Step 2
We solve for KL
KL = x
x = 3
Hence,
KL = 3
Answer:
3
Step-by-step explanation:
It's correct
HELP I NEED THIS ASAP
Answer:
Pretty sure you got it right cause that's what I got...maybe were both wrong ♀️
Please helllp mee
Hellllpppp meeeeee
Answer:
59
Step-by-step explanation:
I think the interior angles are supposed to add up to 180, hope it helped
The length of the highway is 600 miles. If 2 inches represent 75 miles, what is the length of the highway on the map?
Answer:
16 inches
Step-by-step explanation:
The variables in this equation are miles and inches. You're given the ration 2 inches: 75 miles. Take the other factor that you are given, which for this problem would be 600 miles, and divide it by the number with the same variable, which would be 75 miles. This comes out to be 8, to which you then multiply that by the number with the variable that you are trying to find, which is two. Therefore, the length of the highway on the map would be 16 inches.
i need help........
One vertex of a triangle is at point P(3, 2) . The triangle is dilated by a scale factor of 4 . The center of dilation is the origin. Which statement is true? Responses The new triangle is both similar to and congruent to the original triangle. The new triangle is both similar to and congruent to the original triangle. The new triangle is congruent to the original triangle but not similar. The new triangle is congruent to the original triangle but not similar. The new triangle is neither similar to nor congruent to the original triangle. The new triangle is neither similar to nor congruent to the original triangle. The new triangle is similar to the original triangle but not congruent.equation y=3x where x is the number of days, and y is the total number of hats made. Julia also knits scarves at the rate shown in the graph. How many more days will it take Julia to knit 24 hats than it will take her to knit 10 scarves?
The correct statement regarding the dilation is given as follows:
The new triangle is similar to the original triangle but not congruent.
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
The definitions for similar and congruent triangles are given as follows:
Similar triangles: same angle measures.Congruent triangles: same side lengths.For the dilation, due to the multiplication of the side lengths by the scale factor, the side lengths are modified, meaning that the original triangle and the dilated triangle are not congruent.
The angle measures, conversely, remain constant, meaning that the original triangle and the dilated triangle are similar.
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HELP ASPPP PLEASESSS
Answer:
8, 1, and 3
Step-by-step explanation:
Range is the y in (x, y)
Hope it helps
What is the distance between PQ? Explain. Best explanation gets brainliest
The length of the line segment is given by the distance equation
D = 7.2 units
What is the distance of a line between 2 points?The distance of a line between 2 points is always positive and given by the formula
Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )
The distance between A and B is D , and the distance D is
Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²
Given data ,
Let the distance of the line segment between two points be D
Now , the equation will be
Let the first point be represented as P ( 1 , 6 )
Let the second point be represented as Q ( 7 , 2 )
Now , distance between P and Q is D , and the distance D is
Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²
D = √ ( 1 - 7 )² + ( 6 - 2 )²
On simplifying the equation , we get
D = √ ( -6 )² + ( 4 )²
D = √ ( 36 + 16 )
D = √ 52
D = 7.2 units
Hence , the distance is 7.2 units
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What's the value of the expression 10/12 + (- 8/9)
Answer: -1/18 im pretty sure
Step-by-step explanation: Find the exact value using trigonometric identities.
STORMS During a storm, a tree breaks 6 feet above the ground and falls to form a right triangle. If the top of the tree rests 20 feet from the base of the tree, approximately how tall was the tree before the storm?
Answer:
Step-by-step explanation:
First find the hyp..
6^2 + 20^2 = x^2
x = 20.88
Using x, we now know the extra height missing from the original tree height, so we add 6 to find the original.
20.88 + 6 = 26.88ft
The tree was 26.88 feet tall before the storm.
What is Pythagoras theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
We have Perpendicular = 6 feet
and, base = 20 feet
Using Pythagoras theorem we get
H² = P² + B²
H² = 6²+ 20²
H²= 36+400
H² = 436
H = 20.88 feet
thus, the height of the tree = 20.88 + 6 = 26.88 feet
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Lisa is 14 years old. Her age is
two sevenths of her father's age.
How old is Lisa's father?
Answer:
49 years old
Step-by-step explanation:
14 = 2/7
14 divided by 2 = 7
7 x 7 = 49
Answer:
49
Step-by-step explanation:
flip a fair coin, what is the expected number of times one need to flip to get two consecutive head.
The expected number of times one needs to flip a fair coin to get two consecutive heads is 6.
To find the expected number of times one needs to flip a fair coin to get two consecutive heads, we can use the concept of conditional probability.
Let E be the expected number of flips needed to get two consecutive heads.
On the first flip, there is a probability of 1/4 of getting two consecutive heads. If this does not happen, we have to start over and flip the coin again.
On the second flip, there is a probability of 1/4 of getting two consecutive heads, but we have already used one flip, so the expected number of additional flips needed is E.
Therefore, we can write the following equation:
E = (1/4)2 + (1/2)(E+1) + (1/4)(E+2)
E = (1/2)( 1 + E + 1 + E/2 + 1)
E = (1/2)(3 + 3E/2)
E = 3/2 + 3E/4
E/4 = 3/2
E = 6
Therefore, the expected number of times one needs to flip a fair coin to get two consecutive heads is 6.
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math help pls answer
Answer:
-7 -4 0 1 7
Step-by-step explanation:
x=0
x²-49=0
x²=49
x=±7
x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0
x+4=0
x=-4
x=1
lori jeffrey is a successful sales representative for a major publisher of college textbooks. historically, lori obtains a book adoption on of her sales calls. viewing her sales calls for one month as a sample of all possible sales calls, assume that a statistical analysis of the data yields a standard error of the proportion of . use the z-table. a. how large was the sample used in this analysis? that is, how many sales calls did lori make during the month?
The sample size used in the analysis was 300 sales calls for the given standard error.
What is standard error?The standard error (SE) is a statistical sample population's approximate standard deviation. The difference between the population's computed mean and one that is widely regarded as correct is described by the standard error. The standard error tends to be reduced the more data points included in the mean computations.
Given that, Lori obtains a book adoption on 20%, and the proportion of 0.400.
The Standard error is given as:
SE = √[p(1-p)/n]
Rearranging for n we have:
n = p(1-p)/(SE²)
n = 0.20(1-0.20)/(0.0400)²
n = 300.25
Hence, the sample size used in the analysis was 300 sales calls.
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The complete question is:
what is the answer help me quick!!!.
Answer:
B
Step-by-step explanation:
Remember SOHCAHTOA:
SOH = Sine is Opposite over Hypotenuse
CAH = Cosine is Adjacent over Hypotenuse
TOA = Tangent is Opposite over Adjacent
The Tan of A would be \(\frac{10.9}{5}\)
The Tan of B would be \(\frac{5}{10.9}\)
Therefore, B is correct.
The answer is B
Step-by-step explanation:
Tan = the abbreviation toa which means in a right angled triangle the opposite side over the adjacent side is equals to the tan of the angle.
Therefore, tan B =opposite side angle B over adjacent side angle B.
tan B=5/10.9
ms.johnson gives 1/6 of 1 pizza to each of her 25 students write a multiplycation question to represennt the total number of pizzas ms.johnson gives to her student
WILL MARK BRAINLIEAST
The multiplication question that represents the total number of pizzas Ms. Johnson gives to her students is:
1/6 x 25 = ?
To represent the total number of pizzas Ms. Johnson gives to her 25 students using a multiplication question, we can use the terms given:
1. Fraction of pizza given to each student: 1/6
2. Number of students: 25
Multiplication question: (1/6) × 25 = Total number of pizzas
Now, let's solve the multiplication question:
(1/6) × 25 = 25/6 = 4 1/6
So, Ms. Johnson gives a total of 4 1/6 pizzas to her 25 students.
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