Answer:
I think its 2/3 x 4
answer this ! please
When can we say that the two triangles are congruent?
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
What is congruent?
Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.
Here,
we have to prove when can we say that the two triangles are congruent.
SSS, SAS, ASA, AAS, and HL.
These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.
Hence, two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
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The ratio of the sides of rectangle LMNP to the sides of rectangle TUVW is 1:4. The length of LM is 3.6 in, and the length of UV is 16 in.
What is the difference between the areas of the two rectangles?
A. 226 in2
B. 172.8 in2
C. 211 in2
D. 216 in2
What is the range of the function y=e*+1 graphed below?
5
Using it's concept, it is found that the range of the function \(y = e^x + 1\) graphed below is given by: y > 1.
What is the range of a function?It is the set that contains all possible output values. In a graph, it is given by the y-vales.
In this graph, values of y greater than 1(y = 1 is the horizontal asymptote), are plotted, hence the range is y > 1.
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A wasp is a flying insect. In wasps, wing length is coded for by a single gene. Two scientists studying wasps hypothesize that short wings are recessive to long wings. Which of the following observations best supports this hypothesis?
Wasps with long wings are less likely to survive.
Wasps with long wings can produce offspring with short wings.
Wasps have wing lengths ranging from very long to very short.
Wasps with short wings prefer to mate with wasps with long wings.
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Answer:
should be C
Step-by-step explanation:
Properties of mid segments- How do I solve for x and y?
Given the base angles:
60 degrees
40 degrees
Let's solve for the measures of angles x and y.
Given that the sides are corresponding sides are congruent.
Using the mid-segment property:
x = 60°
By definition of corresponding angles.
Also, to solve for y, we have:
y = 180° - 40° = 140°
ANSWER:
x = 60°
y = 140°
In a sample of 560 adults, 336 had children. Construct a 95% confidence interval for the true population proportion of adults with children.
Give your answers as decimals, to three places
< p <
What is the expected value of �?
The confidence interval is 0.559 < p < 0.641 and expected value is 0.600
Confidence IntervalTo construct a confidence interval for the true population proportion, we can use the formula:
p ± Z * √((p × (1 - p)) / n)
Where:
p = sample proportion (336/560)
Z = critical value for the desired confidence level
95% confidence = Z-value of approximately 1.96
n = 560
Let's calculate the confidence interval:
p = 336/560 ≈ 0.600
Z ≈ 1.96 (for a 95% confidence level)
n = 560
Plugging these values into the formula:
p ± Z × √((p × (1 - p)) / n)
0.600 ± 1.96 × √((0.600 × (1 - 0.600)) / 560)
0.600 ± 1.96 × √((0.240) / 560)
0.600 ± 1.96 × √(0.0004285714)
0.600 ± 1.96 × 0.020709611
0.600 ± 0.040564459
The confidence interval is:
0.559 < p < 0.641
Therefore, the 95% confidence interval for the true population proportion of adults with children is 0.559 < p < 0.641.
The expected valueFor proportions, the expected value is simply the sample proportion, which is approximately 0.600.
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2x-(x-(2x+3)-3x-11 help plssss
Answer:
I'll say x = 8
Step-by-step explanation:
because Simplifying
2x + -3 = 3x + -11
Reorder the terms:
-3 + 2x = 3x + -11
Reorder the terms:
-3 + 2x = -11 + 3x
Solving
-3 + 2x = -11 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-3 + 2x + -3x = -11 + 3x + -3x
Combine like terms: 2x + -3x = -1x
-3 + -1x = -11 + 3x + -3x
Combine like terms: 3x + -3x = 0
-3 + -1x = -11 + 0
-3 + -1x = -11
Add '3' to each side of the equation.
-3 + 3 + -1x = -11 + 3
Combine like terms: -3 + 3 = 0
0 + -1x = -11 + 3
-1x = -11 + 3
Combine like terms: -11 + 3 = -8
-1x = -8
Divide each side by '-1'.
x = 8
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{ - 4x - 14}}}}}\)
Step-by-step explanation:
\( \sf{2x - x - (2x + 3) - 3x - 11}\)
When there is a ( - ) in front of parentheses in an expression, change the sign of each term
⇒\( \sf{2x - x - 2x - 3 - 3x - 11}\)
Collect like terms
⇒\( \sf{2x - x - 2x - 3x - 3 - 11}\)
Since the terms having opposite signs adds up to zero, remove them from the expression
⇒\( \sf{ - x - 3x - 3 - 11}\)
⇒\( \sf {- 4x - 14}\)
Hope I helped!
Best regards!!
What is the LCM for (x + 3)2(x – 2) and (x + 3)(x2 – 16)?
A. (x + 3)
B. (x + 3)(x – 2)(x – 16)
C. (x + 3)^3(x – 2)(x^2 + 16)
D. (x + 3)^2(x – 2)(x^2 – 16)
The LCM of (x + 3)^2(x – 2) and (x + 3)(x^2 – 16) is (x+3)^2(x-2)(x^-16)
What is lowest common multiple?Lowest common multiple is the maximum function that can divide other functions without leaving remainder
Given the functions
(x + 3)2(x – 2) and (x + 3)(x^2 – 16)
The LCM will be (x+3)^2(x-2)(x^-16) since all other function can be found in this function.
Hence the LCM of (x + 3)^2(x – 2) and (x + 3)(x^2 – 16) is (x+3)^2(x-2)(x^-16)
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A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 5 tables is $52. The total cost to rent 9 chairs and 7 tables is $86. What is the cost to rent each chair and each table?
Answer:
The cost for 1 chair is $2.75 and the cost for 1 table is $8.75
Step-by-step explanation:
Use the elimination method of linear equations to find your answer.
Our equations for this problem are:
3c+5t=52 and 9c+7t=86
1. Multiply the entire first equation by -3.
-3(3c+5t=52)
2. Simplify the equation from above:
-9c-15t=-156
3. Stack the two equations on top of each other and add/subtract:
-9c-15t=-156
9c+7t=86
4. You should be left with -8t=-70. Simplify this to find the value of t:
t=8.75
5. Plug the value of t into any of the original equations and solve for c.
3c+5(8.75)=52
6. Simplify the equation above:
3c+43.75=52
7. Subtract 43.75 from both sides of the equation:
3c=8.25
8. Divide both sides by 3 to get your c value:
c=2.75
evaluate will give brainlist
Answer:
C. 1/25
Step-by-step explanation:
5^-2=5^(2*-1)
5^2=25
25^-1=1/25
Answer:
It is C 1/25 because it won't be -25 because a negative times a negative is a positive
Step-by-step explanation:
Reduce in standard form -3/-15
Answer:
1/5? 0.2?
Step-by-step explanation:
In the town of Centralburg (Figure 1), which is laid out in a uniform block grid, the grocery store is three blocks East and four blocks North of the post office. Which of the following is a correct equation for the quantities represented in this scenario?
Answer:
tan(θ)= dn/de
θ=arctan(dn/de)
Step-by-step explanation:
Which choice is equivalent to the product below?
√2√5 √8
OA. 165
OB. 8/10
OC. 4√5
OD. 4/20
If choice which is equivalent to the product √2√5 √8 exists 4√5.
What is meant by exponential form?In order to write numbers, bases and powers are used in the exponential form. It informs us of the amount of times we must actually multiply a number in order to obtain the answer.
We must ascertain the terms' prime factorization in order to formulate an expression in exponential form.
Factor and rewrite the radicand in exponential form:
√2 × √((2²) × 2) × √5
Rewrite the expression using √n/ab = √n/a × √n/b
Substitute the values in the above equation, we get
√2 × √((2²) × 2 × √5
Simplify the radical expression: √2 × 2 × √2 × 2
Rewrite the expression: (2 × 2) × (√2 × √2)
Simplify the radical expression:
= 4√5
Therefore, the correct answer is option B. 8/10
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If choice which is equivalent to the product √2√5 √8 exists 4√5.
What is meant by exponential form?In order to write numbers, bases and powers are used in the exponential form. It informs us of the amount of times we must actually multiply a number in order to obtain the answer.
We must ascertain the terms' prime factorization in order to formulate an expression in exponential form.
Factor and rewrite the radicand in exponential form:
√2 × √((2²) × 2) × √5
Rewrite the expression using √n/ab = √n/a × √n/b
Substitute the values in the above equation, we get
√2 × √((2²) × 2 × √5
Simplify the radical expression: √2 × 2 × √2 × 2
Rewrite the expression: (2 × 2) × (√2 × √2)
Simplify the radical expression:
= 4√5
Therefore, the correct answer is option B. 8/10
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what is 2(9x + 4y^2)^5 pls helppp
Answer: Are you even still there?
Step-by-step explanation: You asked this question about an hour ago. You probably don't need help anymore. Thankyou!
Solve for x if y = 3 in the equation 2x + 3y = 12 *
Answer:
x = 3/2 or 1.5
Step-by-step explanation:
y = 3 in the equation 2x + 3y = 12
Substitute 3 in for y.
2x + 3(3) = 12
Multiply.
2x + 9 = 12
Subtract 9 from both sides.
2x + 9 - 9 = 12 - 9
2x = 3
Divide both sides by 2.
2x ÷ 2 = x
3 ÷ 2 = 3/2 or 1.5
x = 1.5
Answer:
X = 1.5
Step-by-step explanation:
So we know that Y = 3 and 3 x 3 = 9, then we need to get the difference of 9 to 12
12 - 9 = 3
we now know that x will equal 3, so 2 x 1.5 = 3, and 3 + 9 = 12
(Full equation)
2 x 1.5 + 3 x 3 = 12
Use a unit rate determine about how many minutes it will take to fill 100 gallons in the pool
Determine the value c so that each of the following functions can serve as a probability distribution of the discrete random variable X:(a) f(x) = c(x2 + 4), for x = 0, 1, 2, 3;(b) f(x) = c (2x) (33-x) , for x = 0, 1, 2. 2.^^(2 is supposed to be directly above x, but not in fraction form, same for 3 and 3-x)
The value of c is 1/17.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Here it is given that the function f(x) can serve as a probability distribution of the discrete random variable X when f(x) = c(x² + 4), for x = 0, 1 ,2
We have to find the value of c
Since f(x) represents the probability distribution x = 0, 1 ,2
So we have f(0)+f(1)+f(2)=1
c(0²+4)+c(1²+4)+c(2²+4)=1
4c+5c+8c=1
17c=1
Divide both sides by 17
c=1/17
Hence, the value of c is 1/17.
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Determine the value c so that each of the following function can serve as a probability distribution of the discrete random variable X when f(x)=c(x2+4), for x=0, 1,2?
a.
1/3
b.
1/17
c.
1/2
d.
1/13
need help asap. pls somebody help.
Answer:
D
Step-by-step explanation:
why the panic ? you only need to compare the tiles with the actual terms in the equations and add them up.
x²
-x²
-x -x
x x x x (clearly that means 4x)
-1 -1 -1
1 1
so, we see it is D.
Select the correct answer.
Statement 1: A figure is a triangle if and only if it has three sides.
Statement 2: A figure has three sides if and only if it is a triangle.
How is statement 2 related to statement 1?
OA. Statement 2 is the converse of statement 1.
OB. Statement 2 is the inverse of statement 1.
OC Statement 2 is the biconditional of statement 1.
OD. Statement 2 is the contrapositive of statement 1.
Answer:
statement 2 is the converse of statement 1
Answer:
Six is divisible by 3, and 10 is a multiple of 2.
The average of the data is less than the largest value in the data, or it’s equal to the largest value in the data.
The slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value.
Step-by-step explanation:
They are 3 answers.
Calc II Question
Find the volume of the solid obtained by rotating the region bonded bt the given curves about the specified line.
Y = e^-x
Y = 1
X = 2
About the Y = 2
Answer:
\(\displaystyle \frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)
Step-by-step explanation:
This can be solved with either the washer (easier) or the shell method (harder). For the disk/washer method, the slice is perpendicular to the axis of revolution, whereas, for the shell method, the slice is parallel to the axis of revolution. I'll show how to do it with both:
Shell Method (Horizontal Axis)
\(\displaystyle V=2\pi\int^d_cr(y)h(y)\,dy\)
Radius: \(r(y)=2-y\) (distance from y=2 to x-axis)
Height: \(h(y)=2-(-\ln y)=2+\ln y\) (\(y=e^{-x}\) is the same as \(x=-\ln y\))
Bounds: \([c,d]=[e^{-2},1]\) (plugging x-bounds in gets you this)
Plugging in our integral, we get:
\(\displaystyle V=2\pi\int^1_{e^{-2}}(2-y)(2+\ln y)\,dy=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)
Washer Method (Parallel to x-axis)
\(\displaystyle V=\pi\int^b_a\biggr(R(x)^2-r(x)^2\biggr)\,dx\)
Outer Radius: \(R(x)=2-e^{-x}\) (distance between \(y=2\) and \(y=e^{-x}\))
Inner Radius: \(r(x)=2-1=1\) (distance between \(y=2\) and \(y=1\))
Bounds: \([a,b]=[0,2]\)
Plugging in our integral, we get:
\(\displaystyle V=\pi\int^2_0\biggr((2-e^{-x})^2-1^2\biggr)\,dx\\\\V=\pi\int^2_0\biggr((4-4e^{-x}+e^{-2x})-1\biggr)\,dx\\\\V=\pi\int^2_0(3-4e^{-x}+e^{-2x})\,dx\\\\V=\pi\biggr(3x+4e^{-x}-\frac{1}{2}e^{-2x}\biggr)\biggr|^2_0\\\\V=\pi\biggr[\biggr(3(2)+4e^{-2}-\frac{1}{2}e^{-2(2)}\biggr)-\biggr(3(0)+4e^{-0}-\frac{1}{2}e^{-2(0)}\biggr)\biggr]\\\\V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\biggr(4-\frac{1}{2}\biggr)\biggr]\)
\(\displaystyle V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\frac{7}{2}\biggr]\\\\V=\pi\biggr(\frac{5}{2}+4e^{-2}-\frac{1}{2}e^{-4}\biggr)\\\\V=\pi\biggr(\frac{5}{2}+\frac{4}{e^2}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4}{2e^4}+\frac{8e^2}{2e^4}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4+8e^2-1}{2e^4}\biggr)\\\\V=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)
Use your best judgment when deciding on what method you use when visualizing the solid, but I hope this helped!
a. -6 + 2x + 4 + 3x - (-2)
What is the answer?
Answer:
5x
Step-by-step explanation:
-6 + 2x + 4 + 3x - (-2)
rearrange to make it easier to solve
2x + 3x - 6 + 4 - (-2)
add like terms, negative time negative is positive
5x - 2 + 2
5x
theRuby, Joey and sully are baking cookies together. they need 3/4 cup of flour and 1/3 cup of butter to make a dozen cookies. Ruby brought 2 cups of flour and 1/4 cup of butter, Joey brought 1 cup of flour and 1/2 cup of butter, sully brought 1 1/4 cups of flour and 3/4 cup of butter. if the students have plenty of other ingredients that they need. how many whole batches of a dozen cookies can they make.
Answer:
They can make 4 whole batches of a dozen cookies
Step-by-step explanation:
From the question, we have;
The quantity of flour they need to make a dozen cookie = 3/4 cup
The amount of butter they need to make a dozen cookie = 1/3 cup
The quantity of flour Ruby brought = 2 cups
The amount of butter Ruby brought = 1/4 cups
The quantity of flour Joey brought = 1 cups
The amount of butter Joey brought = 1/2 cups
The quantity of flour Sully brought = 1 1/4 cups
The amount of butter Sully brought = 3/4 cups
The total quantity of flour they have, W = 2 + 1 + 1 1/4 = 17/4 = 4.25
∴ The total quantity of flour they have, W = 4.25 cups
The total amount of butter that they have, B = 1/4 + 1/2 + 3/4 = 3/2
∴ The total amount of butter that they have, B = 3/2 cups
The ratio of the quantity of flour to the amount of butter for making a cake is given as follows;
Flour to butter ratio = 3/4 cup/(1/3 cup) = 9/4 = 9:4
The flour to butter ratio that they have = 4.25/(3/2) = 17/6 = (9 + 8)/(4 + 2)
Therefore, they have an excess amount of flour
The amount of flour they need, m = (9/4) × (3/2) cups = 3.375 cups of flour
3/4 cups of flour will make 1 dozen cookies
∴ 3.375 cups of flour will make (1/(3/4)×3.375 = 4.5 dozen cookies
Therefore;
The number of whole batches of a dozen cookies they can make = 4 whole batches of a dozen cookies
To find 50% of a number, divide the number by .
To find 25% of a number, divide the number by .
To find 10% of a number, divide the number by .
Answer:
1. 2
2. 4
3. 10
Answer:
1.2
2.4
3.10
Step-by-step explanation:
solve the system by substitution type your stepsx=2y-53x-y=5
Answer:
The solution to the system of equations is
x = 3
y = 4
Explanation:
Given the pair of equations:
\(\begin{gathered} x=2y-5\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\text{.}(1) \\ 3x-y=5\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\text{.}(2) \end{gathered}\)To solve these simultaneously, use the expression for x in equation (1) in equation (2)
\(\begin{gathered} 3(2y-5)-y=5 \\ 6y-15-y=5 \\ 6y-y-15=5 \\ 5y-15=5 \\ \\ \text{Add 15 to both sides} \\ 5y-15+15=5+15 \\ 5y=20 \\ \\ \text{Divide both sides by 5} \\ \frac{5y}{5}=\frac{20}{5} \\ \\ y=4 \end{gathered}\)Using y = 4 in equation (1)
\(\begin{gathered} x=2(4)-5 \\ =8-5 \\ =3 \end{gathered}\)Therefore, x = 3, and y = 4
Carleigh, Inc., is a pork processor. Its plants, located in the Midwest, produce several products from a common process: sirloin roasts, chops, spare ribs, and the residual. The roasts, chops, and spare ribs are packaged, branded, and sold to supermarkets. The residual consists of organ meats and leftover pieces that are sold to sausage and hot dog processors. The joint costs for a typical week are as follows: Direct materials $84,500 Direct labor 29,000 Overhead 20,000 The revenues from each product are as follows: sirloin roasts, $68,000; chops, $71,000; spare ribs, $33,000; and residual, $9,800. Carleigh’s management has learned that certain organ meats are a prized delicacy in Asia. They are considering separating those from the residual and selling them abroad for $52,000. This would bring the value of the residual down to $2,650. In addition, the organ meats would need to be packaged and then air freighted to Asia. Further processing cost per week is estimated to be $27,500 (the cost of renting additional packaging equipment, purchasing materials, and hiring additional direct labor). Transportation cost would be $12,100 per week. Finally, resource spending would need to be expanded for other activities as well (purchasing, receiving, and internal shipping). The increase in resource spending for these activities is estimated to be $3,120 per week.
Carleigh, Inc. should separate the organ meats from the residual and sell them abroad, as it would increase their total revenue by $17,150 per week.
To determine whether Carleigh, Inc. should separate the organ meats and sell them abroad, we need to calculate the incremental revenue and incremental costs associated with this decision.
The incremental revenue would be the revenue generated from selling the organ meats abroad, which is $52,000 per week. The incremental cost would include the cost of further processing ($27,500 per week), transportation cost ($12,100 per week), and the increase in resource spending for other activities ($3,120 per week).
Therefore, the incremental cost would be $42,720 per week. Subtracting this from the incremental revenue of $52,000, we get an incremental profit of $9,280 per week.
However, this decision would also decrease the value of the residual from $9,800 to $2,650 per week. Therefore, we need to subtract this decrease in value from the incremental profit. This gives us a net increase in profit of $17,150 per week ($9,280 - $7,130).
Thus, it would be beneficial for Carleigh, Inc. to separate the organ meats and sell them abroad.
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What additional information is obtained by measuring on an interval scale compared to an ordinal scale?
Answer:
Step-by-step explanation:
From the given information.
An ordinal scale measurement does not give room to know the actual difference that coexists between the two measurements in a variable but in an interval scale of measurement, it is possible to deduce the actual difference that coexists between the two measurements in a variable.
Similarly, the ordinal scale only shows the rank of observations as per size and magnitude but in case of interval scale, it consists of classes with equal size, differentiated into direction and magnitude.
I went to Old Navy and found a pair of pants on sale for $24. This price was 15% off the original price. What was the original price?
A small publishing company is planning to pubilsh a new book. The production coast will include one-time fixed cost (such as editing) and variable costs ( such as printing) There are two production methods it could use. with one method, the one-time fixed costs will total $22,256, and the variable costs will be $25 per book. with other method, the one -time fixed costs will total $80,768, and the variable costs will be $11.75 per book. For how many books produced will the costs from the two methods be the same.
In the question, we are given the following information about the production cost of the two methods.
For method 1, the one-time fixed costs will total $22,256, and the variable costs will be $25 per book.
For method 2, the one-time fixed costs will total $80,768, and the variable costs will be $11.75 per book.
This is a case of partial variation and we can derive two equations for the different production methods using the formula below.
\(\begin{gathered} \text{Production cost=fixed cost +variable cost} \\ \end{gathered}\)Let each book represents b
Thus;
\(\begin{gathered} \text{Method 1;} \\ 25b+22256=\text{ Production cost} \\ \text{Method 2;} \\ 11.75b+80768=\text{Production cost} \end{gathered}\)
To find the number of books produced that would make the costs from the two methods be the same, we would equate the equations above;
\(\begin{gathered} 25b+22256=11.75b+80768 \\ 25b-11.75b=80768-22256 \\ 13.25b=58512 \\ \text{Divide both sides by 13.25} \\ \frac{13.25b}{13.25}=\frac{58512}{13.25} \\ \therefore b=4416 \end{gathered}\)Therefore, the number of books produced that would make the costs from the two methods be the same is;
Answer: 4416
A cheetah's speed was timed over a 50-yard distance. The cheetah was clocked running 60 miles per hour. Write an equation to represent this situation. (If your answering please show how you solved this)
An equation to represent this situation is y = 60x
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.Based on the information provided above, we can logically deduce that the cheetah was clocked running 60 miles per hour over a 50-yard distance. This ultimately implies that, an equation that models this situation is given by:
y = 60x
Where:
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