Based on the information about the triangle, the value of KLM is114°.
How to calculate the valueTo find the measure of angle KLM (m/KLM), we can use the fact that the sum of the angles in a triangle is 180 degrees.
In triangle JKL, the sum of the measures of the interior angles is 180 degrees. Therefore,
m/JKL + m/LJK + m/KLM = 180
(3x+6) + (2x+2) + (8x-16) = 180
13x = 204
x = 15
m/KLM = 8(15) - 16 = 114 degrees
So the answer is 114
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Estimate the conditional probabilities for Pr(A = 1|+) ..., Pr(B = 1|+) ..., Pr(C = 1|+)...
Question:
Estimate the conditional probabilities for
_____,
_____,
_____,
_____,
_____, and
_____;
Instance A B C Class
1 0 0 1 -
2 1 0 1 +
3 0 1 0 -
4 1 0 0 -
5 1 0 1 +
6 0 0 1 +
7 1 1 0 -
8 0 0 0 -
9 0 1 0 +
10 1 1 1 +
To estimate the conditional probabilities for Pr(A = 1|+), Pr(B = 1|+), and Pr(C = 1|+), we need to calculate the probabilities of each event occurring given that the class is positive (+).
Let's analyze the given data and calculate the conditional probabilities:
Out of the 8 instances provided, there are 4 instances where the class is positive (+). Let's denote these instances as +1, +2, +5, and +6.
For Pr(A = 1|+), we calculate the proportion of instances among the positive class where A = 1. Out of the four positive instances, +2 and +5 have A = 1. Therefore, Pr(A = 1|+) = 2/4 = 0.5.
For Pr(B = 1|+), we calculate the proportion of instances among the positive class where B = 1. Out of the four positive instances, +5 has B = 1. Therefore, Pr(B = 1|+) = 1/4 = 0.25.
For Pr(C = 1|+), we calculate the proportion of instances among the positive class where C = 1. Out of the four positive instances, +5 and +6 have C = 1. Therefore, Pr(C = 1|+) = 2/4 = 0.5.
To summarize:
- Pr(A = 1|+) = 0.5
- Pr(B = 1|+) = 0.25
- Pr(C = 1|+) = 0.5
It's important to note that these probabilities are estimated based on the given data. Depending on the context and the underlying distribution of the data, these probabilities might not be accurate representations in other scenarios.
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Miss Chang ordered a pizza to share with some Grade 8 students. Miss Chang
gave Michael some slices of pizza. Miss Chang gave Amy twice as many slices of
pizza as Michael. Miss Chang gave Mr. Au three times the sum of what she gave
to Michael and Amy. Miss Chang gave 60 slices of pizza to Michael, Amy and Mr.
Au in total. How many slices of pizza Miss Chang give to each person?
You are going to the carnival and your guardians said you can spend no more than $24 on rides. if rides cost $0.75 each, how many rides can you go on?
Colette ha an exterminator viit regulary to control an ongoing cockroach 3,800 15% 3 year
If the initial population is 3800. The population of cockroaches after 3 years will be 1603.
Consider the function:
y = a(1 ± r)ⁿ
where n is the number of times growth/decay, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, there is exponential growth happening by r fraction or r%.
If there is a minus sign, there is exponential decay happening by r fraction or r%.
If the population is currently 3,800 cockroaches.
The expression is given as
y = 3800(0.75)ⁿ
The population of cockroaches after 3 years will be
y = 3800(0.75)³
y = 3800 x 0.4218
y = 1603.125
y ≅ 1603
Hence, the population of cockroaches after 3 years will be 1603.
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The complete question is:
Colette has an exterminator visit regularly to control an ongoing cockroach problem. it's been working, and the population has declined by 15% every year. if the population is currently 3,800 cockroaches, how many will there be in 3 years? if necessary, round your answer to the nearest whole number.
Please answer for BRAINLIEST!
Answer:
1.5 units squared
Step-by-step explanation:
Area of a Triangle formula: A = 1/2bh
Pythagorean Theorem: a² + b² = c²
Since you are missing the h to find the area of the triangle, you must use Pythagorean to find the 3rd missing side (it is a right triangle so you can use Pythagorean).
Step 1: Use Pythagorean
2.5² = 1.5² + b²
4 = b²
b = 2
Step 2: Switch variables
b (from Pythagorean) = h (height for Area)
Step 3: Solve for Area
A = 1/2(1.5)(2)
A = 1.5
And you have your final answer.
Cynthia makes apple pies and sells them. The ingredients for each pie cozy $1.50?And she sells the pies for $5.00. To find her profits, she writes the expression $5.00x - $1.50x. Explain what the variable x represents
Given :
Cynthia makes apple pies and sells them.
Cost of ingredients, c = %1.50.
Selling price, S = $5.00.
To find her profits, she writes the expression $5.00x - $1.50x. Explain what the variable x represents.
Solution :
Let, total number of pies sell is x.
Profit in each pie is :
\(P=\$(5.00-1.50)\\\\P=\$3.5\)
So, profit in x pies is , \(P=\$3.5x\)
Therefore, x in given equation represents number of pies sold.
Hence, this is the required solution.
To solve 2x+9=21, what is the first step?
Answer:
The first step is to subtract 9 from each side
Step-by-step explanation:
2x+9=21
The first step is to subtract 9 from each side
2x+9-9 = 21-9
2x = 12
Then divide by 2 on each side
2x/2 = 12/2
x = 6
Answer:
That would be to collect like terms
Step-by-step explanation:
Further explanation
\(2x+9=21\\\\Collect\: like\: terms\\2x = 21-9\\\\Simplify\\2x = 12\\\\Divide\:both\:sides\:of\:the\:equation\:by\:2\\\frac{2x}{2} = \frac{12}{2} \\Simplify\\\\x =6\)
A person drives 300 miles at a constant speed of 55 mph. The equation R = 300 - 55h represents the number of miles remaining after h hours.
Which represents the equation when solved for h?
Answer:
h = - \(\frac{R}{55}\) + \(\frac{60}{11}\)
Step-by-step explanation:
The expression is given as:
R = 300 - 55h
Solving for h implies making h the subject of the expression:
R = 300 - 55h
First add -300 to both sides of the expression;
R + (-300) = 300 - 55h + (-300)
R - 300 = -55h
Now divide through by (-55)
\(\frac{R}{-55}\) - \(\frac{300}{-55}\) = \(\frac{-55h}{-55}\)
h = - \(\frac{R}{55}\) + \(\frac{60}{11}\)
Answer:
15eyr6555556r54734857
using chebyshev's inequality, what interval should chloe give for the middle 96% of ages of single parents in her community? round your answers to the nearest whole number. avoid rounding within calculations.
Interval should Chloe give for the middle 96% of ages of single parents in her community is 0.013.
The Chebyshev inequality (also known as the Biodeme-Chebyshev inequality) guarantees that no value above a certain ratio can be more than a certain distance away from the mean over a broad probability distribution. In particular, a distribution value no greater than 1/k2 can differ from the mean by more than k standard deviations (or equivalently, a minimum 1-1/k2 distribution value less than k standard deviations from the mean).
Practical use is similar to the 68–95–99.7 rule that only applies to normal distributions. Chebyshev's inequality is more general and requires at least 75% of the values to be within 2 standard deviations of the mean and 88.89% to be within 3 standard deviations for various probability distributions.
The term Chebyshev's inequality can also refer to Markov's inequality, especially in the context of analysis. They are closely related, and some authors refer to Markov's inequality as "the first Chebyshev inequality" and a similar inequality as "the second Chebyshev inequality" on this page.
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Combine like terms: 4f + 3e - 2f - e
Answer:
2f + 2e
Step-by-step explanation:
4f -2f = 2f
3e - 1e = 2e
2f + 2e
Use the drawing tools to form the correct answer on the graph.Plot function g on the graph.[6,-7
Kindly, check below
1) As we can see, this is a piecewise function. So, let's plot that accordingly to each interval.
2) So, we can represent that this way:
Note that the open dot does not include the endpoint. And closed dots include the endpoints.
Thus, this is the answer.
Find x and y values that make both y=−2/3x+3 and y=2x−5 true.
What is the ordered pair for your solution?
The ordered pair is (3, 1) which is the intersecting point of these two equations.
What is the graphical solution of a system of equations?Graphical solutions of a system of equations are a way of finding the intersection points of all the equations given.
A system with two or more than two equations has a solution only when they have a common intersection point.
Given, are two equations y = -(2/3)x + 3 and y = 2x - 5.
Now the solution to this system is the common intersecting point of these equations.
With the help of graphing we conclude that the intersecting point is (3, 1) and so is the solution.
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6. Serita worked 6 h and earned $31.50.
What is her hourly wage?
In linear equation, $5.26 is her hourly wage .
What is linear equation in math?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.Ax+By=C is the typical form for linear equations involving two variables. A standard form linear equation is, for instance, 2x+3y=5. It is rather simple to locate both intercepts when an equation is stated in this way (x and y).Serita worked 6 h and earned $31.50.
1 hour of wage of serita = $31.50/6
= $5.26
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Use rules of inference to show that if ∀x(P (x) ∨ Q(x)), ∀x(¬Q(x) ∨ S(x)), ∀x(R(x) → ¬S(x)), and ∃x¬P (x) are true, then ∃x¬R(x) is true.
Since ¬∃x¬R(x) leads tο a cοntradictiοn and assuming ¬∃x¬R(x) led tο a valid prοοf, we can cοnclude that ∃x¬R(x) is true.
How tο shοw that ∃x¬R(x) is true?Tο shοw that ∃x¬R(x) is true based οn the given premises, we can use the fοllοwing steps using rules οf inference:
Assume the negatiοn οf the cοnclusiοn: ¬∃x¬R(x)Using the rule οf negatiοn οf existential quantifier, we can rewrite ¬∃x¬R(x) as ∀xR(x).Frοm the premise ∀x(R(x) → ¬S(x)), we have ∀x(¬S(x) → R(x)) using the rule οf cοntrapοsitive.Applying the rule οf universal instantiatiοn, we can infer ¬S(x) → R(x) fοr sοme specific x.Cοmbining ¬S(x) → R(x) and ∀x(¬Q(x) ∨ S(x)), we can use the rule οf universal instantiatiοn tο οbtain ¬Q(x) ∨ S(x) fοr the same specific x.Using the rule οf disjunctiοn eliminatiοn (prοοf by cases), we cοnsider twο cases:a) ¬Q(x): In this case, we have ¬Q(x) ∨ S(x), and frοm the premise ∀x(P(x) ∨ Q(x)), we have P(x) ∨ Q(x) using the rule οf universal instantiatiοn. Since ¬Q(x) is true, we can infer P(x) is true.b) S(x): In this case, ¬Q(x) ∨ S(x) is trueIn bοth cases, we have P(x) ∨ Q(x) as true.Frοm the premise ∃x¬P(x), there exists sοme x fοr which ¬P(x) is true.Cοmbining ¬P(x) ∨ Q(x) and P(x) ∨ Q(x), we can use the rule οf disjunctiοn eliminatiοn (prοοf by cases) tο cοnsider twο cases:a) ¬P(x): This case cοntradicts ¬P(x) being true, sο it can be disregarded.b) Q(x): In this case, we have Q(x) as true.Cοmbining the result οf case b) (Q(x) is true) with ¬Q(x) ∨ S(x), we can infer S(x) is true.Since ¬S(x) → R(x) and S(x) is true, we can cοnclude that R(x) is false (¬R(x)) using the rule οf mοdus tοllens.Based οn the result in step 11, we have ¬R(x) fοr the specific x.Since we have ¬R(x) fοr a specific x, we can cοnclude that ∃x¬R(x) is true using the rule οf existential instantiatiοn.Since ¬∃x¬R(x) leads tο a cοntradictiοn and assuming ¬∃x¬R(x) led tο a valid prοοf, we can cοnclude that ∃x¬R(x) is true.Therefοre, based οn the given premises, we can infer that ∃x¬R(x) is true.
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The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. The expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $80 and a standard deviation of $17. If the management wants to give free gifts to at most 12.1% of the customers, what should the amount be above which a customer would receive a free gift
The amount above which a customer would receive a free gift is $57.77 (rounded to the nearest cent).
Given that the expenditures for all customers at this supermarket is normally distributed with a mean of $80 and a standard deviation of $17.
The management of the supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends more than a certain amount per visit at this supermarket. The management wants to give free gifts to at most 12.1% of the customers, we need to find the amount above which a customer would receive a free gift.
To find the amount above which a customer would receive a free gift, we need to find the z-score corresponding to the 12.1% percentile value.
z-score = z = (x - μ) / σ
Where, x = the value to find
μ = population mean = 80
σ = population standard deviation = 17z = z-score
Using the standard normal distribution table, we can find the z-score corresponding to the 12.1% percentile value.
The area under the standard normal distribution curve to the left of z-score = -1.21 is 0.1103.
Now we can find the x-value using the formula:
x = z * σ + μ
Substitute the given values,
x = -1.21 * 17 + 80x = 57.77
So, the amount above which a customer would receive a free gift is $57.77 (rounded to the nearest cent).
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The Hcf of 2 numbers O and L is the number O itself .This can be only true if
The number O is the Hcf of the two numbers L and O. This is only possible if the number O is the highest common factor of the two.
Define the term HCF of the number?The highest number among all of the common factors of something like the given numbers is known as the HCF (Highest Common Factor) for two or more numbers.
The highest integer that divides both x and y is known as that of the HCF (Highest Common Factor) for two natural numbers, x and y. Let's use the numbers 18 and 27 to further grasp this definition. 1, 3, and 9 are the common variables between 18 and 27. 9 is the greatest (biggest) number among these. An HCF of 18 with 27 is therefore 9. The formula for this is HCF (18, 27) = 9.Similarly, for the given question.
The number O is the Hcf of the two numbers L and O. This is only possible if the number O is the highest common factor of the two.
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The U.S. Navy submarine Trieste II reached a record altitude of -10.9 kilometers on January 23, 1960. A Russian MIG-25 jet reached a record altitude of 36.3 kilometers on July 25, 1973. What is the difference in these two altitudes? *
Answer:
Heheee
Step-by-step explanation:
hehehe
2/3+1/9 Add fractions with unlike denominators
Answer:
7/9
Step-by-step explanation:
Multiply \(\frac{2}{3}\) by 3 to get the common denominator of 9. Whatever you do to the top, you do to the bottom too.
So you would do \(\frac{2}{3}\) x \(\frac{3}{3}\) to get \(\frac{6}{9}\)
Add \(\frac{1}{9}\) to \(\frac{6}{9}\) to then get \(\frac{7}{9}\)
So your answer would be \(\frac{7}{9}\)
Data were collected on the weight, in ounces, of puppies for the first three months after birth. A line of fit was drawn through the scatter plot and had the equation w = 4.75 + 0.5d, where w is the weight of the puppy in ounces and d is the age of the puppy in days.
What is the w-intercept of the line of fit and its meaning in terms of the scenario?
4.75; a puppy who is just born is predicted to weigh 4.75 ounces
4.75; for each additional day after the puppy is born, its weight is predicted to increase by 4.75 ounces
0.5; a puppy who is just born is predicted to weight 0.5 ounces
0.5; for each additional day after the puppy is born, its weight is predicted to increase by 0.5 ounces
The correct answer is: 4.75; a puppy who is just born is predicted to weigh 4.75 ounces.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The equation of the line of fit is w = 4.75 + 0.5d, where w is the weight of the puppy in ounces and d is the age of the puppy in days.
The w-intercept of the line of fit is the value of w when d = 0, that is, the predicted weight of a puppy when it is just born.
From the equation, we see that when d = 0, we have:
w = 4.75 + 0.5(0) = 4.75
Therefore, the w-intercept of the line of fit is 4.75 ounces, and its meaning in terms of the scenario is that a puppy who is just born is predicted to weigh 4.75 ounces.
So, the correct answer is: 4.75; a puppy who is just born is predicted to weigh 4.75 ounces.
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Use the method of undetermined coefficients to find one solution ofy′′−9y′+26y=1e5t. y= ?
Y = (1/6)*e^5t is differential equation .
What exactly does differential equation mean?
An equation that connects one or more unknown functions and their derivatives is known as a differential equation in mathematics.
Applications typically use functions to describe physical quantities, derivatives to indicate the rates at which those quantities change, and differential equations to define a relationship between the two.
y′′−9y′+26y=e^(5t)
The characteristice equation of the differential equation is : r^2 -9r +26 =0
On solving we get the values of r=4.5 + 2.34i (z1) , 4.5 - 2.4i(z2)--- (complex roots)
homogeneous solution is: yh = c1e^z1t + c2e^z2t
Plug Y = Ae^5t in the ODE:
= 25Ae^5t -9*5Ae^5t +26Ae^5t =e^(5t)
25A -45A +26A =1 ; 6A = 1; A =1/6
Y = c1e^z1t + c2e^z2t is a general solution but we wnata particular solution
So, simply Y = (1/6)*e^5t
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Select all side lengths that make a right triangle.
a. 46, 47, 48
b. 110, 122, v12
c. 5, 8, 13
d. 19,4,5
e. 10, 1, 3
The side lengths that make a right triangle are c. 5, 8, 13, In a right triangle, the Pythagorean theorem states that the square of the length of the hypotenuse
(the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This theorem can be written as a^2 + b^2 = c^2, where a and b are the lengths of the two shorter sides, and c is the length of the hypotenuse.
Let's examine the given options a. 46, 47, 48:, Applying the Pythagorean theorem, 46^2 + 47^2 = 2116 + 2209 = 4325, which is not equal to 48^2.
Therefore, it does not satisfy the condition for a right triangle. b. 110, 122, √12: Applying the Pythagorean theorem, 110^2 + 122^2 = 12100 + 14884 = 26984, which is not equal to (√12)^2 = 12. Hence, it does not satisfy the condition for a right triangle.
c. 5, 8, 13:
Applying the Pythagorean theorem, 5^2 + 8^2 = 25 + 64 = 89, which is equal to 13^2. This satisfies the condition for a right triangle.
d. 19, 4, 5:
Applying the Pythagorean theorem, 19^2 + 4^2 = 361 + 16 = 377, which is not equal to 5^2. Thus, it does not satisfy the condition for a right triangle.
e. 10, 1, 3:
Applying the Pythagorean theorem, 10^2 + 1^2 = 100 + 1 = 101, which is not equal to 3^2. Therefore, it does not satisfy the condition for a right triangle.
In summary, the only set of side lengths that makes a right triangle is option c: 5, 8, 13.
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Parville surveys every 15th person in the
town to see if there is support for a new
library and there are 40,161. How many people are surveyed?
Answer:
2677.4
Step-by-step explanation:
40161/15
HELP PLEASE 23 POINTS!!
The number of hours spent studying each week for 9 week is shown.
5, 8.5, 11, 13, 5.5, 9, 2, 4, 6.5
What is the value of the range for this set of data?
Answer:
Range = Highest number -Lowest number
= 13-2=11
Answer:
11
Step-by-step explanation:
Highest number = 13
Lowest number = 2
Range = highest number - lowest number
Range = 13 - 2 = 11
write a real word problem that can be solved using this equation 9 + 4x = 21 - 2x
Using this equation 9 + 4x = 21 - 2x, the value of x is 2.
What is a Word Problem?A word problem is a mathematics exercise used in science classes where the subject's significant background information is conveyed in sentences rather than mathematical notation.
A real word problem that can be solved using this equation 9 + 4x = 21 - 2x is
you have to subtract 9 from both sides. 21-9= 12
you have to add 2x to both sides. 4x+2x= 6x
6x divided by both sides =
x=2
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(x - 1)(x + 3) ≤ 0
how tol solve this algebric inequalities and how to show them in the number line ?
Answer:
refer to the attachment
AC with B between A and C,AC=12inch and AB 7in what is the ratio of AB to BC
Answer:
Step-by-step explanation:
AC = AB + BC; BC = AC - AB
AC = 12 in
AB = 7 in
BC = 12 - 7
BC = 5
AB/BC = 7/5
The simplest factorial design contains:
A. 1 independent variable with 2 conditions
B. 2 independent variables with 2 conditions
C. 2 independent variables with 3 conditions
D. 3 independent variables with 2 conditions
The simplest factorial design contains 2 independent variables with 2 conditions. The answer is option B.
A factorial design is a study in which two or more independent variables are manipulated to see their impact on the dependent variable. The simplest factorial design contains two independent variables, each with two conditions, for a total of four conditions. This is referred to as a 2x2 factorial design. The factors analyzed in such a design are the primary factor: Factor A, which has two levels, is known as the primary factor or the rows, and the secondary factor: Factor B, which has two levels, is referred to as the secondary factor or the columns.
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15 points, I will give the brain award thing if u answer correctly. A triangle has sides with lengths of 2x - 9 ,5x - 3 and 2x -2. What is the perimeter of the triangle?
i have more to come check out my account:( please
Answer:
Part A
The two figures, ΔABC and ΔPQR are congruent by the SSS rule of congruency
Part B
The rigid motion that maps ΔABC to ΔPQR are a 180° clockwise rotation about the origin, followed by a horizontal shift of 1 unit to the right
Step-by-step explanation:
Part A
The given coordinates of the vertices of triangle ABC are;
A(-8, -2), B(-3, -6), C(-2, -2)
The length of side AB = √((-6 - (-2))² + (-3 - (-8))²) = √41
The length of side AC = √((-2 - (-2))² + (-2 - (-8))²) = 6
The length of side BC = √((-6 - (-2))² + (-3 - (-2))²) = √17
The given coordinates of the vertices of triangle PQR are;
P(9, 2), Q(4, 6), R(3, 2)
The length of side PQ = √((6 - 2)² + (4 - 9)²) = √41
The length of side PR = √((2 - 2)² + (3 - 9)²) = 6
The length of side RQ = √((6 - 2)² + (4 - 3)²) = √17
Given that the length of the three sides of triangle ABC are equal to the lengths of the three sides of triangle PQR, we have;
ΔABC ≅ ΔPQR by Side Side Side rule of congruency
Part B
Whereby AB and PQ, and BC and RQ are pair of corresponding sides, the rigid motion that maps ΔABC to ΔPQR are;
1) A 180° clockwise (or counterclockwise) rotation about the origin followed by
2) A shift of 1 unit to the right.
Suppose that the function fis defined, for all real numbers, as follows.
f(x) =
x-4 if x < 2
-2x+2 if x ≥2
Graph the function f. Then determine whether or not the function is continuous.
See attachment for the graph and the function is a continuous function.
How to graph the function?The function definition is given as:
f(x) = [ x-4 if x < 2
[-2x+2 if x ≥2
The above function is a piecewise function.
So, we plot each function by its domain
Having said that, the next step is to plot the graph of the functions in f(x) according to their domain
See attachment for the graph
Also, the function is a continuous function.
This is so because there is no break in the function value i.e. domain and range are the set of all real values
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