Answer:
-17p+100
______
4
Step-by-step explanation: combine multiplied terms into a single fraction. distribute. combine multiplied terms into a single fraction. find a common denominator. combine fractions with a common denominator. multiply the numbers.Rearrange terms.Combine multiplied terms into a single fraction.Cancel terms that are in both the numerator and denominator.Find common denominator.Combine fractions with common denominator.Distribute.Add the numbers.Combine like terms
Jack,Sam and pandu wrote three different Maths test on Monday. Jack got 5 out of 10 for his test. Sam got 22 out of 40 for his test, and pandu got 12 out of 20. By converting the fractions into percentages , determine who achieved the best score
Among Jack, Pandu and Sam, Pandu scored the best as his marks scored percentage is 60%.
What is percentage?
In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If you need to calculate the percentage of a number, divide the number by the whole number and multiply by 100. Percentages therefore mean 1 in 100. The word percent means around 100. Represented by the symbol '%'.
Solution according to the information given:
Jack's percentage = (5/10)×100
= 50%
Sam's percentage = (22/40)×100
= (11/20)×100
= 55%
Pandu's percentage = (12/20)×100
= 60%
Thus, Pandu scored the best marks by scoring 60%.
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Rearrange the equation 4y - 8 = 12x + 4 into slope intercept form
Answer:
[tex]x = \frac{y}{3} - 1[/tex]
Step-by-step explanation:
[tex]1. \: 4y - 8 - 4 = 12x \\ 2. \: 4y - 12 = 12x \\ 3. \: \frac{4y - 12}{12} = x \\ 4. \: \frac{4(y - 3)}{12} = x \\ 5. \: \frac{y - 3}{3} = x \\ 6. \: - 1 + \frac{y}{3} = x \\ 7. \: \frac{y}{3} -1 = x \\ 8. \: x = \frac{y}{3}-1[/tex]
100 POINTS PLEASEEE SOMEBODY I NEED TO TURN THIS IN
The diagonals are 17.4 inches
The length does not meet the regulationThe measurement of KR is 8 unitsHow to determine the lengths of the diagonalsFrom the question, we have the following parameters that can be used in our computation:
DH = 10, HK = 8.2, KB = 6, HR = 8 and KY = 6.8
Given that DHB is a right triangle, we have
DB² = HB² + DH²
So, we have
DB² = (8.2 + 6)² + 10²
DB² = 301.64
Take the square root
DB = 17.4
Does the length meet the regulationThe triangles DBY and RYB are congruent triangles
So, we have
RY = 17.4
The figure is an isosceles triangle, and the length does not meet the regulation
This is so because the length is less than the required 20 inches
The measurement of KRThe two non-parallel sides of an isosceles triangle are of equal length
So, we have
1/2x + 5 = 2x - 4
Evaluate the like terms
3/2x = 9
This gives
x = 9 * 2/3
x = 6
So, we have
KR = 1/2x + 5
This gives
KR = 1/2 * 6 + 5
KR = 8
So, the value of KR is 8 units
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To get the 10% discount, a shopper must spend at least $500.
Use d to represent the spending (in dollars) of a shopper who gets the discount.
The cruising speed of the bullet train will be no less than 130 miles per hour.
Use s to represent the train's cruising speed (in miles per hour).
Answer:
d>500
t>130
Step-by-step explanation:
For the first problem:
we must set up an inequality to answer :D soooo:
d>500
the same thing goes for the second one:
t>130
Hope this is right!
The average (arithmetic mean) of a, a + 1, and a + 2 is c, and the average of b, b + 1, and b + 2 is d. What is the average of c and d?
Please show your work.
The length of segment CB in trapezoid CBAD is 11.
What is trapezoid?In a trapezoid, the midsegment is the line segment that joins the midpoints of the two non-parallel sides. In this case, KJ is the midsegment of trapezoid CBAD, which means that it is parallel to both CB and AD, and its length is equal to the average of the lengths of CB and AD.
We are given that;
CB=4x-13
KJ=6x-18
DA=25
we can use the formula for the midsegment of a trapezoid to set up an equation and solve for x:
KJ = (CB + AD) / 2
6x - 18 = (4x - 13 + 25) / 2
6x - 18 = (4x + 12) / 2
6x - 18 = 2x + 6
4x = 24
x = 6
Now that we have found the value of x, we can substitute it back into the expression for CB to find its length:
CB = 4x - 13 = 4(6) - 13 = 11
Therefore, the answer of the given trapezoid will be 11.
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what is 2divided by 80000000
40000000
Step-by-step explanation:
ezy Peasy lemon squeeze
Answer:40,000,000
Step-by-step explanation:
its just like 2 divided by 8 which is 4 then just add all your zeros
hi can you guys help with this problem is you don't know don't answer
The constant of proportionality for the relationship between number of laps (x) and minutes swimming (y) is 5x-2y = 0.
What is a Proportionality graph?A proportionality graph, also known as a direct proportionality graph, is a graph that represents the relationship between two variables that are directly proportional to each other.
In a proportionality graph, the x-axis represents the independent variable, while the y-axis represents the dependent variable. When the two variables are directly proportional, the graph will form a straight line passing through the origin (0,0). This means that as the independent variable increases, the dependent variable also increases in proportion to it.
Here we by using the graph the relationship is 5x = 2y
Let x is a number of laps and y is the minutes swimming then the constant of proportionality is 5x-2y = 0.
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Help the teacher told me to solve them and shade them
The graph and the solution to the system of inequalities are added as attachments
How to determine the solution to the system of inequalitiesSystem 1
From the question, we have the following parameters that can be usedin our computation:
x ≤ -3
y < 5/3x + 2
The above system is a system of inequalities that contain two linear inequalities
Next, we plot the graph
One of the points in the shaded region is (-4, -5)
System 2
Here, we have the following system
y ≤ -5/2x - 2
y < -1/2x + 2
The above system is a system of inequalities that contain two linear inequalities
Next, we plot the graph
One of the points in the shaded region is also (-4, -5)
System 3
Here, we have the following system
y ≥ 2/3x + 3
y > -4/3x - 3
The above system is a system of inequalities that contain two linear inequalities
Next, we plot the graph
One of the points in the shaded region is also (4, 7)
See attachment for the graph of the inequalities
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if a poisson process rate was 1.5 (15 events in 10 min) with a mean of 0.387, then solve the following
a) p(no events for 3 min)
b) p(1 event in 1 min)
c) p(>= 1 event in 1 min)
d) uncertainty for a, b, c
If a poisson process rate was 1.5 (15 events in 10 min) with a mean of 0.387, then
a) p(no events for 3 min) - 0.0498
b) p(1 event in 1 min) - 0.3347
c) p(>= 1 event in 1 min) - 0.7769
d) uncertainty for a, b, c - For a), σ = 1.732 and for b) and c), σ = 1.225
A Poisson process is a stochastic process that counts the number of events in a given time interval. It is characterized by two parameters: the rate, λ, which is the average number of events in a given time interval, and the mean, μ, which is the average number of events in the entire process.
a) The probability of no events in 3 minutes is given by the Poisson probability mass function:
P(X = 0) = (λt)^0 * e^(-λt) / 0! = e^(-λt)
Where t is the time interval (3 minutes), and λ is the rate (1.5 events per minute). Plugging in the values gives:
P(X = 0) = e^(-1.5 * 3) = 0.0498
b) The probability of 1 event in 1 minute is given by the Poisson probability mass function:
P(X = 1) = (λt)^1 * e^(-λt) / 1! = λt * e^(-λt)
Where t is the time interval (1 minute), and λ is the rate (1.5 events per minute). Plugging in the values gives:
P(X = 1) = 1.5 * e^(-1.5) = 0.3347
c) The probability of at least 1 event in 1 minute is given by the complement of the probability of no events:
P(X >= 1) = 1 - P(X = 0) = 1 - e^(-λt)
Where t is the time interval (1 minute), and λ is the rate (1.5 events per minute). Plugging in the values gives:
P(X >= 1) = 1 - e^(-1.5) = 0.7769
d) The uncertainty for each of the probabilities is given by the standard deviation of the Poisson distribution:
σ = sqrt(λt)
For a), the standard deviation is:
σ = sqrt(1.5 * 3) = 1.732
For b) and c), the standard deviation is:
σ = sqrt(1.5 * 1) = 1.225
Therefore, the uncertainty for each of the probabilities is given by the standard deviation.
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Write a story problem for the equation 50 ÷ 10.??
Answer: Hayley is hosting a party. She has 50 pieces of candy she wants to give to her 10 friends. How many pieces should each friend get so everyone receives the same amount?
Answer the next 4 questions
12) if the base area of a square prism is 15 square centimeters and the hight is eight centimeters, what is the volume of the prism?
13) if the base area of a square prism is 16 sq cm and the height is 20 centimeters, what is the volume of the prism?
14) if the base area of a cylinder is 15.6 square centimeters and the height is four centimeters, what is the volume of the cylinder?
15) if the base area of a cylinder is 1.2 square centimeters and the height is three centimeters, what is the volume of the cylinder?
Answer:
I don't know dude...............
I need some help with b) and c)
The volume of the oblique cone is 5887.5 ft³.
What is a cone?A cone is a three-dimensional geometric shape with a smooth and curving surface and a flat base, with an increase in the height radius of a cone decreasing to a certain point.
The volume of a cone is (1/3)πr²h.
The total surface area of a cone is πr(r + l).
The curved surface area is πrl.
We know, The volume of an oblique cone is, (1/3)×B×h.
Where h = height and B = area of the base.
Here the area of the base is, π(15)² = 706.5 ft², and the height is 25 feet.
Therefore, The volume is,
= (1/3)×706.5×25.
= 5887.5 ft³
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10 Points if someone gets right
Given the fraction of 1/8
What is the decimal value? What is it's value written as a percent?
Answer: 0.125 and 12.5%
Step-by-step explanation:
To convert any fraction to decimal form, we just need to divide its numerator by the denominator.
Here, the fraction is 1/8 which means we need to perform 1 ÷ 8.
This gives the answer as 0.125. So, 1/8 as a decimal is 0.125
To get its percentage form, you simply multiply the obtained decimal value by 100:
0.125 x 100 = 12.5
What is the volume of a rectangular prism with a length of 4.7 feet, a width of 1.5 feet, and a height of 1.6 feet?
Responses
7.1 ft³
7.1 ft³
7.8 ft³
7.8 ft³
8.65 ft³
8.65 ft³
11.28 ft³
The volume of the rectangular prism is 11.28 feet³.
What is a rectangular prism?In terms of geometry, a rectangular prism is a polyhedron having two parallel, congruent bases. It also goes by the name cuboid. A rectangular prism is made up of six rectangles, each with twelve edges.
We are given that a rectangular prism has the following dimensions:
Length (l) = 4.7 feet
Width (w) = 1.5 feet
Height (h) = 1.6 feet
We know that
Volume (V) = [tex]l \times w \times h[/tex]
From this, we get
⇒V = [tex]4.7 \times 1.5 \times 1.6[/tex]
⇒V = 11.28 feet³
Hence, the volume of the rectangular prism is 11.28 feet³.
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Answer: Your answer is 11.28 ft³
Step-by-step explanation: 4.7 x 1.5 x 1.6 = 11.28 you have to do it in this order also I did the k12 quiz here's proof.
Hope it helped :D
2) How many widgets (to the nearest tenth) can be produced by 360 workers in 20 hours?
Assuming a constant rate of production, 360 workers can produce approximately 7200 widgets in 20 hours.
The problem asks how many widgets can be produced by 360 workers in 20 hours. To solve this problem, we need to use the formula:
widgets = rate x time x workers
We know the time is 20 hours and the number of workers is 360. We need to find the rate at which the workers can produce widgets. Let's assume that each worker can produce one widget in one hour, so the rate is 1 widget per worker-hour.
Substituting the values, we get:
widgets = 1 x 20 x 360
widgets = 7200
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The perimeter of the rectangle below is 80 units. Find the length of side CD.
Write your answer without variables.
D
4z + 2
C
3z + 3
B
CD
The required length of side CD is 22 units.
How to use perimeter to solve for variable?Since the perimeter of the rectangle is 80 units, we can use the formula for the perimeter of a rectangle, which is:
perimeter = 2(length + width)
In this case, we know that the perimeter is 80 units, so we can write:
80 = 2(length + width)
We also know that CD is a side of the rectangle, so it must be either the length or the width. Let's assume that CD is the length, so we can write:
CD = 4z + 2
Substituting this expression for the length into the formula for the perimeter, we get:
80 = 2(4z + 2 + width)
Simplifying the right-hand side, we get:
80 = 8z + 4 + 2width
Subtracting 4 from both sides, we get:
76 = 8z + 2width
Dividing both sides by 2, we get:
38 = 4z + width
Now we can use the fact that CD is a side of the rectangle to substitute for width. Since the opposite side of the rectangle must also have length 4z + 2, we can write:
width = 3z + 3
Substituting this into the previous equation, we get:
38 = 4z + 3z + 3
Simplifying the right-hand side, we get:
38 = 7z + 3
Subtracting 3 from both sides, we get:
35 = 7z
Dividing both sides by 7, we get:
5 = z
Now we can substitute this value of z into the expression for CD:
CD = 4z + 2 = 4(5) + 2 = 22
Therefore, the length of side CD is 22 units.
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Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
The length of the segment indicated is 8.
What is congruence?In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
Here, two right-angled triangles are given. In a right-angled triangle, the sides are the same, and it can be proved by congruence triangle rules.
The two angles are congruent if they are complements of the same angle (also known as congruent angles). Congruent angles are all just angles.
So, the sides' hypotenuse is 8 which is equal to x. So the value of x is 8.
Thus, the length of the segment indicated is 8.
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4. An ant leaves the origin at time zero, travelling along the positive x-axis at a speed of two Poincare units of length per second.
(a) Find the (Euclidean) coordinates of the ant’s position after 2 seconds.
(b) How long will it take the ant to pass the point (0.999, 0)?
(a) After 2 seconds, the ant's position in the (Euclidean) coordinates is (4,0)
(b) To pass the point (0.999, 0), the ant needs 0.4995 seconds.
The ant is traveling along the positive x-axis at a speed of 2 Poincare units of length per second. This means that its position at any given time can be determined using the equation:
x = 2t
where x is the ant's position along the x-axis, and t is the time in seconds.
(a) To find the ant's position after 2 seconds, we can simply plug in t = 2 into the equation:
x = 2(2) = 4
So the ant's position after 2 seconds is (4, 0).
(b) To find how long it will take the ant to pass the point (0.999, 0), we can set x = 0.999 and solve for t:
0.999 = 2t
t = 0.999/2 = 0.4995
So it will take the ant 0.4995 seconds to pass the point (0.999, 0).
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Parallel lines p,q, and r are cut by transversal t. Which of these describes how to find the value of x?
(I didn't mean to click the one in orange
The value of x = 44.
An inner angle is known by what name?Interior angles are those found within a polygon. For instance, a triangle has three interior angles. The phrase "angles limited in the interior area of two parallel lines when intersected by a transversal are known as interior angles" is the third definition of internal angles.
We must use the congruence of the alternate interior angles created by transversal t and parallel lines p and q in order to determine the value of x. Hence, we can construct the equation shown below:
180 - 2x = 3x - 40
When we simplify this equation, we obtain:
5x = 220
x thus equals 44.
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How many 5/8's are in 1? Its supposed to be a mixed number (ex, 1 1/3)
There are 1 and 3/5 of 5/8 in 1, if Its supposed to be a mixed number.
What is a mixed number?
A mixed number is a combination of a whole number and a fraction. It is written in the form of "a b/c" where a is the whole number, b is the numerator of the fraction, and c is the denominator of the fraction.
To answer your second question, we can divide 1 by 5/8 as follows:
1 ÷ 5/8 = (1 x 8) ÷ 5 = 8/5
We can then write 8/5 as a mixed number by dividing the numerator (8) by the denominator (5) and writing the remainder as the fraction part.
8 ÷ 5 = 1 with a remainder of 3, so we write the answer as:
1 3/5
Therefore, there are 1 and 3/5 of 5/8 in 1.
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If
α
and
β
are the other angles of a right angled triangle, show that
sin2α=sin2β
. 13 Write
3sinx−5cosx
in the form
kcos(x+a)
where
k>0
and
0
In a right-angled triangle, the sum of two acute angles is equal to 90°.
So if α and β are the two acute angles of a right-angled triangle, then α + β = 90°.Using the formula for sin of the difference of two angles, we can write:sin2α = sin(90° − β) = sin90°cosβ − cos90°sinβ = cosβsin2β = sin(90° − α) = sin90°cosα − cos90°sinα = cosαSince sin2α = cosβ and sin2β = cosα, we can conclude that sin2α = sin2β.Now, let's write 3sinx − 5cosx in the form kcos(x+a). Using the formula for cos of the sum of two angles, we can write:3sinx − 5cosx = kcos(x+a) = k(cosxcos a − sinxsin a)Equating the coefficients of sinx and cosx, we get:−5 = kcos a3 = −ksin aSquaring and adding these equations, we get:25 + 9 = k^2(cos^2a + sin^2a) = k^2So k = √34.Taking the ratio of the two equations, we get:−5/3 = cos a/sin a = 1/tan aSo tan a = −3/5.Using the inverse tangent function, we get:a = tan^−1(−3/5)So the final answer is:kcos(x+a) = √34cos(x + tan^−1(−3/5)).
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need help with this problem
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ \cfrac{1}{2}}(x-\stackrel{x_1}{(-2)}) \implies y +4= \cfrac{1}{2} (x +2) \\\\\\ y+4=\cfrac{1}{2}x+1\implies {\Large \begin{array}{llll} y=\cfrac{1}{2}x-3 \end{array}}[/tex]
A swimming camp charges $190 for 6 weeks of swimming lessons and $265 for 9 weeks of swimming lessons. How much does the swimming camp charge per week?
The camp charge per week = slope = $25 per week.
How to Apply the Slope Concept?The slope is also referred to as the unit rate which is given as: m = change in y / change in x.
From the given scenario, let:
x = number of weeks
y = camp charges
We will therefore have these two points:
(6, 190) and (9, 265)
Use the two points to find the slope, which is the swimming camp charge per week:
Camp charge per week (m) = change in y / change in x = 265 - 190 / 9 - 6
= 75/3
= $25 per week.
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QUESTION: LetP=[72753231]. Answer the following: 1. (1 mark) Explain (briefly) whyPis a regular transition matrix. 2. (2 marks) Given the initial state vectorx0=[103107]T, find the state vectorx2. 3. (3 marks) Calculate the steady state vector. SHOW YOUR WORK!
1. A transition matrix is regular if there is a positive integer k such that P^k has all positive elements.
2. The value of x2 = [128,295, 44,557]T.
3. The value of x = [0.701, 0.299, 0]T .
1. P is a regular transition matrix because it has all positive elements, meaning that it is possible for any state to transition to any other state.
2. To find the state vector x2, we need to multiply the initial state vector x0 by the transition matrix P twice:
x2 = P^2 * x0
= P * P * x0
= P * [72 * 10 + 75 * 7, 32 * 10 + 31 * 7]T
= P * [945, 457]T
= [72 * 945 + 75 * 457, 32 * 945 + 31 * 457]T
= [128,295, 44,557]T
3. To find the steady state vector, we need to solve the equation Px = x for x. This means that we need to find the eigenvector of P corresponding to the eigenvalue
1. We can do this by finding the null space of (P - I), where I is the identity matrix:
(P - I)x = 0
=> [71 -75 0, -32 30 0, 0 0 -1]x = 0
=> x = c[75, 32, 0]T, where c is a constant.
To find the steady state vector, we need to normalize this eigenvector so that it sums to 1:
x = [75/107, 32/107, 0]T
= [0.701, 0.299, 0]T
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what is 0.10 more than .62
Answer: 0.72
Step-by-step explanation:
0.62 + 0.10 = 0.72
Curtis wants to buy a trumpet that costs £360. He puts £285 into a savings account that pays compound interest of 1% per month. Using trial and improvement, work out the smallest number of whole months that Curtis will have to wait to have enough money in this account to buy the trumpet.
Answer:
29 months
Step-by-step explanation:
if the trumpet is 360 and he has 285, we need to find out how much he needs to gain to get the trumpet.
360-285=80
If the Intrest is 1% per month, he’s gaining $2.85 per month.
So we divide 80 by 2.85, and get 28.07.
We have to go to the next number because it gets the money at the end of the month.
29 months
Mary simplified the algebraic expression 2/3x + 1/4x as shown below.
Answer:
she added the denominator
Step-by-step explanation:
Answer:
She added the numerators and denominators. This is not correct.
Step-by-step explanation:
[tex]x(\frac{2}{3} +\frac{1}{4} )=x(\frac{8+3}{12} )[/tex]
[tex]=\frac{11}{12} x[/tex]
Hope this helps.
Mei and Ming both improved their yards by planting rose bushes and ivy they bought their supplies from the same store Mei spent 36 on 3 rose bushes and 1 pot of ivy Ming spent 168 on 9 rose bushes and 8 pots of ivy what's the cost of one rose bush and one pot of ivy..
The cost of one rose shrub costs $12 and one pot of ivy costs $24, respectively.
How can you theoretically solve an equation system?It takes two equations with two variables to solve a system of equations. The variables can then be solved for using algebraic techniques like substitution or elimination.
Let x be the cost of one rose bush and y be the cost of one pot of ivy.
From Mei's purchase, we have:
3x + y = 36
From Ming's purchase, we have:
9x + 8y = 168
Use the first equation to solve for y:
y = 36 - 3x
Substituting this into the second equation, we get:
9x + 8(36 - 3x) = 168
9x + 288 - 24x = 168
-15x = -120
x = 8
Substituting x = 8 into equation of y, we get:
y = 24
Hence, the cost of one rose bush is $8, and the cost of one pot of ivy is $24.
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7. Find the measure of 2
35°
5
2
1
3
The measure of the 2 angle in the triangle is 55 degrees.
What is kite ?In geometry, a kite is a quadrilateral with two pairs of adjacent sides that are equal in length. This means that a kite is a special type of quadrilateral called a "tangential quadrilateral" because its sides can be inscribed in a circle.
According to given information:If one angle of a triangle is a right angle (90 degrees) and another angle is 35 degrees, then the sum of the three angles in the triangle is 180 degrees.
Therefore, the measure of the third angle can be found by subtracting the sum of the other two angles from 180 degrees:
Third angle = 180 degrees - 90 degrees - 35 degrees
Third angle = 55 degrees
So the measure of the 2 angle in the triangle is 55 degrees.
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