Answer:
The answer choice on top left!
Step-by-step explanation:
You prove angle 7 and 1 with alternate exterior angles theorem.
Please help me in this question.show workings.
Answer :
(i) The size of angle x is 58⁰.
(ii) The size of angle y is 70⁰.
Step-by-step explanation :
From the given figure we conclude that:
∠EFB = ∠FGD = x⁰ (corresponding angles are equal)
∠FGD = ∠CGH (vertically opposite angles are equal)
x⁰ = 58⁰
∠FGD = ∠AFG = 58⁰ (alternate angles are equal)
Now we have to calculate the value of 'y'.
As we know that the sum of interior angle of a triangle is equal to 180⁰.
In ΔAGF,
∠GAF + ∠AFG + ∠FGA = 180⁰
52⁰ + 58⁰ + y = 180⁰
110⁰ + y = 180⁰
y = 180⁰ - 110⁰
y = 70⁰
Therefore, the value of size of angle x and angle y is 58⁰ and 70⁰ respectively.
Graph x > 5
Circle would be
a. open
b. closed
Arrow would be pointed
c. left
d. right
Answer:
a., d
Step-by-step explanation:
An open circle on a number does not include the number that has the circle. A closed circle includes the number that has the circle.
An arrow pointing to the right includes numbers that are greater than the number that has the circle. An arrow pointing to the left includes numbers that are less than the number that has the circle.
The equation is x > 5.
That means that 5 is not included, and all numbers greater than 5 are included.
5 not included: Use an open circle.
Numbers greater than 5: arrow point to the right.
Answer; a., d
jared asks 20 of his classmates what their favorite month is. the responses are given below. favorite months june may january november october october december july may helpcopy to clipboarddownload csv use excel to create a relative frequency distribution. what is the relative frequency of his classmates who say their favorite month is june?
To create a relative frequency distribution, we need to count the number of occurrences of each response and divide it by the total number of responses, which is 20 in this case. The relative frequency of classmates who say their favorite month is June can be calculated as follows:
Number of classmates who say their favorite month is June: 2
Relative frequency of classmates who say their favorite month is June: 2/20 = 1/10 = 0.1
So, the relative frequency of his classmates who say their favorite month is June is 0.1 or 10%.
Relative frequency is a measure of the proportion or percentage of observations in a dataset that belong to a specific category or interval. It is calculated as the count of observations in a specific category or interval divided by the total number of observations in the dataset.
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Can someone help me pleaseee
Answer:
d or c more likey d
Step-by-step explanation:
2. Which of the following is not true about the
number line below?
Which of the following is not true about the number line below.
A. The absolute value of point A is positive.
B. The opposite of point A is positive.
C. The additive inverse of point A is -1.
Sorry I don’t have the picture of the number line.
I need help...
Five more than a number is 23.
Find the number
Answer:
18
Step-by-step explanation:
5 more a number equals 23.
Subtract 23 and 5, the number is 18.
Check; 18 + 5 = 23.
Hope this helps!
-Jerc
Name the following aldehyde: CHO A. 1,4-dimethylethanal B. 3,6-dimethylheptanal C. 1,6-dipropylheptanal D. 2,5-dimethylheptanal
Answer:
c. 1,6-dipropylheptanal
A truck holds 48,000 pounds of sand.
How many tons are in 48,000 pounds?
Answer:
24
Step-by-step explanation:
dont exaclty have an explanations - its just the calculations
find the smallest n such that the error estimate in the approximation of the definite integral f6/0 √6 x dx is less than 0.00001 using simpson's rule.
Definite integral ∫(0 to √6) f(x) dx using Simpson's rule is less than 0.00001, we need to calculate the error formula for Simpson's rule and iterate over different values of n until the error estimate satisfies the given condition.
Simpson's rule is a numerical method used for approximating definite integrals. The error estimate for Simpson's rule is given by the formula:
\(E = -((b - a)^5 / (180 * n^4)) * f''(c)\)
Where E represents the error estimate, (b - a) is the interval length (in this case, √6 - 0 = √6), n is the number of subintervals, f''(c) is the second derivative of the function evaluated at a point c within the interval.
To find the smallest n for which the error estimate is less than 0.00001, we can start by choosing an arbitrary value of n, calculating the error estimate using the given formula, and then checking if it is smaller than the desired tolerance. If it is not, we increase the value of n and recalculate the error estimate until it meets the condition.
By iteratively increasing the value of n and calculating the error estimate, we can determine the smallest value of n for which the error estimate in the approximation of the definite integral satisfies the condition of being less than 0.00001.
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The water pressure on a scuba diver is directly proportional to the depth of the The diver will befeet below the surface diver. If the pressure on a diver is 31.5 psi when she is 70 feet below the surface, how far below the surface will she be when the pressure is 40.5 psi?
The depth at which the scuba diver will experience a pressure of 40.5 psi can be found by using the proportional relationship between water pressure and depth. Based on the given information, the depth can be calculated to be 90 feet below the surface.
The scuba diver's depth and the water pressure are directly proportional to each other. If the pressure on the diver is 31.5 psi at a depth of 70 feet, we can use this information to find the depth at which the pressure will be 40.5 psi.
Let x be the depth at which the pressure is 40.5 psi. Using the proportionality, we can write:
31.5/70 = 40.5/x
We can solve for x by cross-multiplying:
31.5x = 2835
x = 90
Therefore, the diver will be 90 feet below the surface when the pressure is 40.5 psi.
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In March 2020, a newspaper article reported that houses in Nevada are so expensive that many people are unable to
afford the monthly house payments.
This graph shows the average house price and the average monthly payment for all the different counties in Nevada.
House Prices and Payments
1a. What does the pattern of the data indicate
about the connection between house prices and
monthly payments?
Type Here
1b. Find the monthly payment for a house
costing $450,000.
Type Here
1c. Find a formulate connecting the average
monthly payment with the average house price
in slope-intercept form (y = mx + b).
Type Here
Average monthly payment/dollars
5000
4000-
3000
000
100000
Fosfor
200000 300000 400000
Average house price/dollars
500000
The pattern of the data indicates a linear relationship or strong positive correlation between the average house prices and average monthly payments.
The monthly payment for a house costing $450,000 is $3,600.
A formulate connecting the average monthly payment with the average house price in slope-intercept form is y = 0.008x.
What is a proportional relationship?In Mathematics, a proportional relationship can be represented by this equation:
y = kx
Where:
x represents the average house price.y represents the average monthly payment.k represents the constant of proportionality.Next, we would determine the constant of proportionality (k) as follows:
Constant of proportionality (k) = y/x
Constant of proportionality (k) = 8/1000
Constant of proportionality (k) = 1/125 or 0.008.
Therefore, a formula that connects the two variables is given by;
y = kx
y = 0.008x
When average house price (x) = $450,000, the average monthly payment (y) is given by:
y = 0.008(450,000)
y = $3,600.
In conclusion, we can logically deduce that the pattern of the data shows a linear relationship or strong positive correlation between the average house prices (x) and average monthly payments (y) because as the average house prices (x) increases, the average monthly payments (y) also increases.
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PLEASE HELP ASAPPP!!!
Directions: Show all of your work for the following two problems on a seperate sheet of paper. Take a picture of your work and attach the picture to this assignment.
1. Solve the following system of equations, show all your work on a separate sheet of paper, and check your answer. Write the solution as a point (x,y) (4 points).
3x + 5y = -40
–x + 4y = -15?
2. Suppose you and your friends form a band and you want to record a demo. Studio A rents for $125 plus $50 an hour and Studio B rents for $200 and $30 an hour. Let t = the number of hours and c = cost.
Write an equation to represent the cost at each studio (2 points)
Solve the system (2 points)
Write the solution as a point (x, y) (2 points)
Answer:
x = -5 y = -5
Step-by-step explanation:
–x + 4y = -15
- 4y -4y
-1(-x = -4y - 15)
x = 4y + 15
Substitute x = 4y + 15 into 3x + 5y = -40
3(4y + 15) = -40
17y + 45 = -40
- 45 -45
17y = -85
/ 17 /17
y= -5
Substitute y = - 5 into x = 4y + 15:
x = 4(-5) + 15
x = -20 + 15
x = -5
Answer:
Part I
(-5,-5)
Part II
(3.75, 312.50)
Step-by-step explanation:
Part I
(1) 3x + 5y = -40
(2) -x + 4y = -15
solve for x in (2)
x = 15 + 4y
substitute into (1)
3(15+4y) + 5y = -40
45 +12y + 5y = -40
45 +17y = -40
17y = -85
y = -5
substitute y = -5 into (1)
3x + 5(-5) = -40
3x -25 = -40
3x = -15
x = -5
so (-5, -5)
Part II
Studio A
C = 125 + 50t
Studio B
C = 200 + 30t
125 + 50t = 200 + 30t
20t = 75
t = 3.75
(3.75, 312.50)
Read the picture and answer, it would be appreciated if this could get answered fast!
Check the picture below.
well, they will have the same amount of baskets when the values for James is equal to the values for Michael.
\(155~~ + ~~178(x-1)~~ = ~~113~~ + ~~185(x-1) \\\\\\ 155+178x-178~~ = ~~113+185x-185\implies 178x-23~~ = ~~185x-72 \\\\\\ -23~~ = ~~7x-72\implies 49=7x\implies \cfrac{49}{7}=x\implies \boxed{7=x}\)
Which of the following shows 5x + 17 + 8x – 9 + 2y in simplest terms?
15xy + 8
23xy
13x + 2y + 26
13x + 2y + 8
Answer:
13x + 2y + 8
Step-by-step explanation:
hope it helps......
I’ll give brainiest HELP PLEASE
Answer: p = 1/8
Step-by-step explanation:
If p = 1/8, then 7 would equal 7/8 and 2n would become 2n/8 or 1/4n
There is a machine with toys in it that each cost between cents and dollars, with each toy being cents more expensive than the next most expensive one. Each time Sam presses the big red button on the machine, the machine randomly selects one of the remaining toys and gives Sam the option to buy it. If Sam has enough money, he will buy the toy, the red button will light up again, and he can repeat the process. If Sam has quarters and a ten dollar bill and the machine only accepts quarters, what is the probability that Sam has to get change for the dollar bill before he can buy his favorite toy- the one that costs
The required probability that sam has to get change for the 10-dollar bill before he can buy his favorite toy is 6/7.
What is probability?The fraction of favorable outcomes to the total number of outcomes of an event is said to be its probability of occurrence.
P(N) = n(N)/n(S)
N- an event; S- total outcomes;
Calculation:It is given that,
n(s) = 8
So, the probability of buying the favorite toy first is 1/8
and the probability of buying the favorite toy a second is (1/8)(1/7) = 1/56
For these probabilities, Sam won't need to change the 10-dollar bill.
Then,
The probability that Sam has to get change for the 10-dollar bill before he can buy his favorite toy is
= 1 - Probability that he won't need to change
= 1 - (1/8 + 1/56)
= 1 - 1/7
= 6/7
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Disclaimer: The given question on the portal is incomplete. Here is the complete question.
Question: There is a machine with 8 toys in it that each costs between 25 cents and 2 dollars, with each toy being 25 cents more expensive than the next most expensive one. Each time Sam presses the big red button on the machine, the machine randomly selects one of the remaining toys and gives Sam the option to buy it. If Sam has enough money, he will buy the toy, the red button will light up again, and he can repeat the process. If Sam has 8 quarters and a ten-dollar bill and the machine only accepts quarters, what is the probability that Sam has to get change for the 10-dollar bill before he can buy his favorite toy- the one that costs $1.75? Express your answer as a common fraction.
What’s the answer to a7 x a5 ?
Step-by-step explanation:
I think the answer is 35 or a12
2. show that each of the following initial-value problems has a unique solution and find the solution. can theorem 5.4 be applied in each case? a. y
The initial-value problem y' = 2x, y(0) = 1 has a unique solution, which is \(y = x^2 + 1\). Theorem 5.4 can be applied in this case as the function and its partial derivative are continuous on the given interval.
To show that each of the following initial-value problems has a unique solution and find the solution, we need to check if Theorem 5.4 can be applied in each case.
a. For the initial-value problem y' = 2x, y(0) = 1:
Theorem 5.4 states that if the function f(x, y) and its partial derivative ∂f/∂y are continuous on a rectangle R, then the initial-value problem has a unique solution on an interval containing the initial point.
In this case, f(x, y) = 2x and ∂f/∂y = 0. Both f(x, y) and ∂f/∂y are continuous everywhere. So, Theorem 5.4 can be applied and the initial-value problem has a unique solution.
To find the solution, we can integrate both sides of the equation y' = 2x with respect to x:
∫ dy = ∫ 2x dx
\(y = x^2 + C\)
Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 into the solution equation:
\(1 = 0^2 + C\)
C = 1
So, the solution to the initial-value problem y' = 2x, y(0) = 1 is \(y = x^2 + 1\).
The initial-value problem y' = 2x, y(0) = 1 has a unique solution, which is \(y = x^2 + 1\). Theorem 5.4 can be applied in this case as the function and its partial derivative are continuous on the given interval.
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I just want to know if this is the correct answer and if it is that'll be a HUGE help
(were supposed to find the slope)
Answer:
Yes it's 3/4
Step-by-step explanation:
I counted the distance between the points and your right
O sr. willian colheu nestra semana 140 laranjas-baia e laranjas-seletas e as acomodou em duas caixas,com a mesma quantidade cada uma.quantas laranjas foram colocadas em cada caixa?
There were 70 oranges placed in each box.
To find out how many oranges were placed in each box, we need to divide the total number of oranges collected by the number of boxes. In this case, the total number of oranges collected is 140. Since there are two boxes, we divide 140 by 2 to find the number of oranges in each box.
140 ÷ 2 = 70
Therefore, there were 70 oranges placed in each box.
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16) The angles of a quadrilateral are in AP, whose common difference is 10°.
Find all of its four angles.
Answer:
75°, 85°, 95°, 105°
Step-by-step explanation:
Since the 4 angles form an AP, then the 4 angles are
a, a + d, a + 2d, a + 3d
where a is the first term and d the common difference
The sum of the angles in a quadrilateral = 360° thus
a + a + d + a + 2d + a + 3d = 360, that is
4a + 6d = 360, substitute d = 10
4a + 60 = 360 ( subtract 60 from both sides )
4a = 300 ( divide both sides by 4 )
a = 75
Thus the 4 angles are
75°, 75° + 10° = 85°, 75° + 20 = 95°, 75° + 30° = 105°
I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS!!!
What is the factored form of each expression?
24. 20x + 35y
F. 4x + 7y, G. 5xy(4 + 7), H. 5(4x + 7y), I. (20 + 35) · (x + y)
25. 24x + 64y
A. 4(6x + 16y), B. 8(3x + 8y), C. 8xy(3 + 8), D. 3x +
Answer them both please! This is due in 2 minutes!!
Answer:
The answers are H and A, let me know in a comment if you want me to explain it
in proportions, does “-300/-20” mean multiplication?
Answer:
see explanation
Step-by-step explanation:
The backslash / is usually used to denote division, so
- 300 / - 20 means \(\frac{-300}{-20}\) or - 300 ÷ - 20
Answer:
This means that for every -300, there is -20
or For every 15, there is 1
Step-by-step explanation:
all you have to do is to divide: 300/20=15
The base of the pyramid is a rhombus with a side of 4.5 cm, and the largest diagonal is 5.4 cm. Calculate the area and volume of the pyramid if each side wall makes an angle of 45° with the plane of the base
Answer:
To solve this problem, we can use the following formula:
Volume of a pyramid = (1/3) * base area * height
The first step is to calculate the height of the pyramid. Since each side wall makes an angle of 45° with the plane of the base, the height is equal to the length of the altitude of the rhombus. The altitude can be calculated using the Pythagorean theorem:
altitude = sqrt((diagonal/2)^2 - (side/2)^2)
= sqrt((5.4/2)^2 - (4.5/2)^2)
= 2.7 cm
The base area of the pyramid is equal to the area of the rhombus:
base area = (diagonal1 * diagonal2) / 2
= (4.5 * 4.5) / 2
= 10.125 cm^2
Now, we can calculate the volume of the pyramid:
Volume = (1/3) * base area * height
= (1/3) * 10.125 * 2.7
= 9.1125 cm^3
Therefore, the volume of the pyramid is 9.1125 cm^3.
To calculate the area of the pyramid, we need to find the area of each triangular face. Since the pyramid has four triangular faces, we can calculate the total area by multiplying the area of one face by 4. The area of one face can be calculated using the following formula:
area of a triangle = (1/2) * base * height
where base is equal to the length of one side of the rhombus, and height is equal to the height of the pyramid. Since the rhombus is a regular rhombus, all sides have the same length, which is equal to 4.5 cm. Thus, we have:
area of a triangle = (1/2) * 4.5 * 2.7
= 6.075 cm^2
Therefore, the total area of the pyramid is:
area = 4 * area of a triangle
= 4 * 6.075
= 24.3 cm^2
Hence, the area of the pyramid is 24.3 cm^2.
On a coordinate grid, has endpoints A(4, – 2) and B(x, y). The midpoint of is (– 3, 1). What is the x-coordinate of point B?
Answer:-10
Step-by-step explanation:
Formula for mid point is :
Mid point = ( (x1+x2)÷2 , (y1+y2)÷2) )
So, X1 = 4
X2 = X
Y1 = -2
Y2 = y
Now, use the formula
(-3,1) = ( (4 + x)÷2 , (-2+y)÷2) )
Now divide the sides for yourself to solve for midpoint for X and y separately
-3 = (4+x) ÷ 2 and 1 = (-2+y) ÷ 2
This is because 3 is the x coordinate of the mid point of A and B , so we equate it to (4+x) ÷ 2 because this expression basically gives us the x coordinate of mid point of A and B. So we already have the x coordinate of midpoint which is -3 so we can use this to find X coordinate of point B
So then we solve it by multiplying the 2 with -3 which gives -6
-6 = 4+X
Shift 4 on the other side and it will become negative 4
-6-4 = X
X = -10
Answer:
B (-10,4)
Step-by-step explanation:
Given A (4,-2) and midpoint M (-3,1) we can find equation of the line
y = mx +b
slope m = raise / run
m = (y1 - y2) / (x1 - x2)
m = (-2 - 1) / (4 - -3)
m = -3 / 7 = -3/7
given the midpoint M, then point B (x,y) must have the same length and slope as AM. So point B must have twice the rise and twice the run.
Slope was -3/7 so segment AB must be 2(slope) = -6/14, so from point A, point B will be from A (4,-2)
raise = y1 - y2 = -6
-2 - y2 = -6
-y2 = -6 + 2
y2 = 4
run = x1 - x2 = 14 = 4 - x2
14 - 4 = -x2
x2 = -10
state the sample space. list outcomes separated by commas. use notation like 1h to mean you rolled a 1 on the die and flipped heads on the coin.
The sample space consists of the following outcomes: 1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T
To state the sample space, we'll consider all the possible outcomes of rolling a die and flipping a coin. There are 6 possible outcomes for the die (1-6) and 2 possible outcomes for the coin (heads or tails).
We'll use notation like 1h means rolling a 1 on the die and flipping heads on the coin, 1t means rolling a 1 on the die and flipping tails on the coin, 2h means rolling a 2 on the die and flipping heads on the coin, and so on.
The sample space consists of the following outcomes: 1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T
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the phone company splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. if a customer uses 150 minutes, the monthly cost will be $83. if the customer uses 980 minutes, the monthly cost will be $332. A) Find an equation in the form y- mz +b, where z is the number of monthly minutes used and y is the total monthly of the Splint plan. Answer: Preview Do no use any commas in your answer B) Use your equation to find the total monthly cost if 624 minutes are used Answer: If 624 minutes are used, the total cost will be dollars.
If 624 minutes are used, the total cost will be dollars is $2,493.92.
Part A :
With the information given in the problem, we know that (i) "if a customer uses 150 minutes, the monthly cost will be $83" and (ii) "if the customer uses 980 minutes, the monthly cost will be $332."
From the information given in (i), we can set up the equation where y = total monthly payment = 83, x = minutes = 150, and where b = monthly fee which is an unknown value.
This gives the equation : y = mx+b --> 83 = 150m + b
*Note: m = the slope = rate, which can be defined as the $/min.
From the information given in (ii), we can set up the equation where y = total monthly payment = 332, x = minutes = 980, and where b = monthly fee which is an unknown value.
This gives the equation: y = mx + b --> 332 = 980m + b
At this point, we have two equations with two unknown values, m and b which are constant in both equations. The values that were given are the (x,y) values. To find the unknown m and b values, we can first use an equation to isolate one of the variables.
Solving for m:
From the first equation, b = 83 - 150m.
We can substitute this value of b into the second equation: 332 = 980m + (83 - 150m)
Solve for m:
332 - 83 = 980m - 150m
249 = 830m
m = 3.33
Solving for b:
From the first equation, since solving for m, we know that 83 = 150(3.33) + b
Now, we know that b = 83 - (150)3.33 = 416.50
Answer for Part A: y = 3.33 x + 416
Part B:
Using the equation y = 3.33 x + 416, we can substitute 624 minutes for x.
y = 3.33 (624) + 416
y = 2493.92
Answer for Part B: If 624 minutes are used, the total cost will be $2,493.92.
Hence the answer is If 624 minutes are used, the total cost will be dollars is $2,493.92.
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Over what interval is the function the function in this graph constant
The function in this graph is constant in the range of -4 ≤x≤-2 , Option D is the correct answer.
What is a function ?A function is a mathematical statement which identifies relation between independent and dependent variable.
A graph is given
The graph will be considered constant when the y value is constant for any value of x
The value of y is constant in the range of
-4 ≤x≤-2
Therefore Option D is the correct answer.
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the function in this graph is constant. from -4 ≥ x ≤ -2.
What is Linear function?A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.
Given a graph, by observing that graph we can determine that
Since The graph of a constant function can never be a curve. The graph of a constant function is always a horizontal line. An algebraic function is a constant function if there is no variable in its definition.
x < -4 it is a linear function
-4 ≥ x ≤ -2 graph is constant
-2 ≥ x ≤ 3 linear with positive slope
x > 3 graph is linear with a negative slope
Therefore, From -4 ≥ x ≤ -2 the function in this graph is constant.
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A parking lot space is in shape of a rectangle. If the space has a length of 23 feet and a width of 12 feet, what is the area of the parking space?A.128ft2B.266ft2C.276ft2D.138ft2
Suppose the growth rate of the firm's profit is 5 percent, the interest rate is 6 percent, and the current profits of the firm are $80 million. what is the value of the firm?
The calculate value of the firm is the growth rate of the firm's profit is 5 percent, the interest rate is 6 percent, and the current profits of the firm are $80 million = 8480 million
How to solve for the value of the firm(1+r/r -p) * P
This can be substituted in the equation
1.06/ ( 0.06 - 0.05) * 80 million = 8480 million
Hence the value of the firm is given as 8,480 million dollars. The correct answer is C.
Suppose the growth rate of the firm's profit is 5 percent, the interest rate is 6 percent, and the current profits of the firm are $80 million, the value of the firm is 8480 million
Complete question
Suppose the growth rate of the firm's profit is 5 percent, the interest rate is 6 percent, and the current profits of the firm are $80 million. What is the value of the firm?
A. $89.2 million
B. $1,413.3 million
C. $8,480 million
D. None of the statements associated with this question are correct.
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