In 120 minutes, all the three boats will next meet at the starting location. The solution has been obtained by using the concept of least common multiple.
What is least common multiple?
Least Common Multiple is abbreviated as LCM. The smallest multiple shared by two or more different numbers is referred to as the least common multiple.
We are given that three boats start cruising around a small island starting at the same time and from the same location, and following the same route.
They take one full circle around the island which is 2 km.
First boat:
It covers 5 km in 60 minutes.
So, it will cover 2 km in 60/5 * 2 = 24 minutes
Second boat:
It covers 4 km in 60 minutes.
So, it will cover 2 km in 60/4 * 2 = 30 minutes
Third boat:
It covers 3 km in 60 minutes.
So, it will cover 2 km in 60/3 * 2 = 40 minutes
Now, taking the LCM of 24, 30 and 40, we get 120.
Hence, in 120 minutes all the three boats will next meet at the starting location.
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What is even function and odd function?
If f(-x) = f(x) for all x in the domain of the function, then the function is said to be even function in mathematics. if a function meets the criterion that f(-x) = -f(x) for all x in the function's domain, then is said to be odd function .
An even function, then, is symmetric about the y-axis. The graph of an even function would look geometrically identical to its reflection across the y- axis if we were to plot it. The functions f(x) = x2, f(x) = cos(x), and f(x) = |x| are examples of even functions.
An odd function, then, is symmetric about the origin. If we were to draw the graph of an odd function geometrically, if we were to plot the graph of an odd function, it would appear to be identical to its reflection across the origin, after being rotated 180 degrees. Some examples of odd functions include f(x) = x³, f(x) = sin(x), and f(x) = 1/x.
It is also possible for a function to be neither even nor odd. In other words, a function does not need to exhibit either symmetry about the y-axis or the origin.
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plsssss heeelppppppp
Answer: I think it’s A). linear
Step-by-step explanation: linear is the process of something increasing or decreasing at a constant rate, in this case it would be the heat going down at a constant rate of 50 degrees every 10 minutes
Find m21 and m2. Justify.
10.
79⁰
21.2
It should be noted that the value of the angles will be m<2= 101; m<1=79°.
How to calculate the anglesIt should be noted that if parallel lines are intersected by a transversal, the correspondng angles are congruent
Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°.
In this case, m2 = 180 - 79
= 101°
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Henrietta is adding music to her slide presentation. She has selected six songs. The playing times of the songs are listed below.
2 minutes 13 seconds
3 minutes 15 seconds
3 minutes 18 seconds
3 minutes 5 seconds
2 minutes 13 seconds
2 minutes 40 seconds
Henrietta will choose one song at random to be first in the presentation. Which phrase best describes the likelihood that she will choose a song lasting exactly 2 minutes 13 seconds?
Answer:
there is a chance of 33.33% that she picks a song of 2min and 13sec
Answer:B.
Step-by-step explanation:
The actually answer is B. Equal to the likelihood of choosing a song that lasts 3 minutes 15 seconds
100 points and brainliest!!!!!!!!
The system of equations has no solution. Option A is the correct optio.
What is the system of equations?
Simultaneous equations, or a system of equations, Two or more equations in algebra must be solved jointly. The number of equations must match the number of unknowns for a system to have a singular solution.
Given system of equations is
3x - 9y =0 .....(i)
-x + 3y = -3 .....(ii)
Multiply -3 with equation (ii)
3x - 9y = 9 .....(iii)
Subtract equation (i) from (iii):
3x - 9y = 9
3x - 9y =0
________
0 = 9
Which is a false statement.
Thus the system of equations has no solution.
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Answer:
the answer is A. 0
In the independent measures t-test, what is assumed by the homogeneity of variance assumption?
a. The two samples have equal variances.
b. The two sample variances are not equal.
c. The two populations have equal variances.
d. The two population variances are not equal.
The homogeneity of variance assumption in the independent measures t-test assumes that option (c) the variances of the two populations from which the samples are drawn are equal.
In mathematical terms, the t-test assumes that the two populations from which the samples are drawn have equal variances. The homogeneity of variance assumption is important because it affects the calculation of the t-statistic.
When the variances of the two populations are equal, the t-test uses a pooled estimate of the variance to calculate the standard error of the difference between the two sample means.
If the homogeneity of variance assumption is violated, meaning the variances of the two populations are not equal, the t-test may produce inaccurate results.
In this case, an alternative test such as Welch's t-test may be used. Welch's t-test does not assume equal variances and is therefore more robust when the homogeneity of variance assumption is violated.
Therefore, the right choice is option (c).
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The cost of a car rental is $40 per day plus 18(cents) per mile. You are on a daily budget of $67. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions.
PLEASE HELP (30 POINT REWARD) PLEASE.
The inequality that represents the greatest distance that can be driven while staying within the daily budget is:
0.18x + 40 ≤ 67
Solving for x, we get:
0.18x ≤ 27
x ≤ 150
Therefore, the greatest distance that can be driven in a day while staying within the daily budget is 150 miles.
Two other two-step inequalities with the same solutions are:
0.18x ≤ 27.5 x ≤ 153.50.18x + 39 ≤ 670.18x ≤ 28
x ≤ 155
What is the probability of flipping 2 coins and having them land on heads and 2 dice and having each land on 1?
how to convert 1c to 1f?
The steps to convert Celsius to Fahrenheit has been explained
To convert Celsius to Fahrenheit, use the following formula:
F = (C x 1.8) + 32
Where C represents the temperature in Celsius and F represents the temperature in Fahrenheit.
To use this formula, simply multiply the temperature in Celsius by 1.8 and then add 32 to the result. The final result will be the temperature in Fahrenheit.
It's important to note that Celsius and Fahrenheit are two different temperature scales used in different parts of the world. Celsius is used in most countries, including Europe and Canada, while Fahrenheit is used primarily in the United States.
Therefore, the steps of conversion has been explained
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The given question is incomplete, the complete question is:
How to convert Celsius to Fahrenheit?
Helpppppp
It’s about finding the missing angle it’s easy but I forgot how too
Angle number 2, represents measures the ∠SXU.
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
Given, Are three lines RS, TU, and VW and TU intersects RS and VW at
X and Y respectively.
We know when we write an ∠ABC we measure the angle of 'B'.
Given, An ∠SXU, in which we are measuring the angle of X with respect to S and U.
Therefore, 2 is the number that represents ∠SXU.
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20% of 230 is what number?
Answer:
First, you need to calculate your grade in percentages. The total answers count 230 - it's 100%, so we to get a 1% value, divide 230 by 100 to get 2.30. Next, calculate the percentage of 20: divide 20 by 1% value (2.30), and you get 8.70% - it's your percentage grade.
Step-by-step explanation:
i think sooooo
trigonometric ratios, the figure on the left is a right triangle abc. which among the listed values are equal to the sin of b
Answer: The value of sinB is b/c
Step-by-step explanation:since sinB =P/H
Here, P=perpendicular
H=hypotenuse
so here, P=b and H=c
sinB=b/c
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The graph shows two functions, f(x) and g(x). If the functions are combined using addition, which statements describe the resulting graph h(x)? Check two options. domain: x ≥ –2 domain: x ≥ 2 The point (2, 2) is on h(x). The point (–2, 0) is on h(x). The point (0, –3) is on h(x).
If functions h(x)= f(x)+g(x), the point (2, 2) is on h(x) and The point (–2, 0) is on h(x).
What does function mean?In mathematics, a function is a rule or a set of rules that assigns a unique output to each input of a given set of inputs. It is a type of mapping or transformation in which each member of one set (the inputs) is associated with a unique member of another set (the outputs). Functions are often represented by equations or graphs, and they can be used to describe relationships between different variables.
For example, the equation y = x2 describes the function that assigns to each number x its square y.
The domain of the combined graph h(x) is x ≥ –2 since the domain of both f(x) and g(x) are x ≥ –2. The point (2, 2) is on h(x) because when x = 2, the function f(x) takes the value 2 and the function g(x) takes the value 0. When these two values are added together, they equal 2, which is the y-value of the point (2, 2). The point (–2, 0) is on h(x) because when x = –2, the function f(x) takes the value 0 and the function g(x) takes the value –3. When these two values are added together, they equal –3, which is the y-value of the point (–2, 0). The point (0, –3) is not on h(x) because when x = 0, the function f(x) takes the value –1 and the function g(x) takes the value –2. When these two values are added together, they equal –3, which is not the y-value of the point (0, –3).
The point (2, 2) is on h(x) since h(x) = f(x) + g(x) = 2 + 0 = 2. The point (–2, 0) is on h(x) since h(x) = f(x) + g(x) = 0 + 0 = 0. The point (0, –3) is not on h(x) since h(x) = f(x) + g(x) = 0 + 2 = 2, which does not equal –3.
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Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.
What is P(A Assume that we have two
events, A and&nbB)?
What is P(A | B)?
Is P(A | B) equal to P(A)?
Are events A and B dependent or independent?
A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?
What general conclusion would you make about mutually exclusive and independent events given the results of this problem?
The probability of A given B is 0, and P(A | B) is not equal to P(A). Events A and B are mutually exclusive, meaning that they cannot both occur at the same time, and thus they are not independent. Mutually exclusive events are not necessarily independent and independent events may or may not be mutually exclusive.
P(A) = 0.30 and P(B) = 0.40, so P(A and B) = 0 because the events A and B are mutually exclusive. This means that the probability of A given B is 0, and P(A | B) = 0. P(A | B) is not equal to P(A).Events A and B are mutually exclusive, meaning that they cannot both occur at the same time, and thus they are not independent.The statement that mutually exclusive events and independent events are the same is not accurate. Mutually exclusive events are not necessarily independent and vice versa.Given the results of this problem, we can conclude that mutually exclusive events are not independent, and independent events may or may not be mutually exclusive. The two concepts are not necessarily related as mutually exclusive events do not necessarily need to be independent and independent events do not necessarily need to be mutually exclusive.
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**NEED HELP. WOULD BE APPRECIATED. OFFERING 25 POINTS.**
Graph and analyze the function f(x)=1/(x-2).
A.) Use the graph provided below to graph f(x). . Include asymptotes, at least 5 points, and neatly sketch the branches.
B.) Describe the transformation from the parent function y=1/x to the function f(x).
C.) State the domain and range of f(x). Use either set notation or interval notation.
D. Write the equations for the vertical and horizontal asymptotes.
providing a graph below. thank you!!
Answer:a
Step-by-step explanation:
Pls help me solve only letter “a” and “b”
The two lines that are parallel to y = 2x - 1 that pass through the given points are:
a) y = 2x + 1
b) y = 2x
How to find the parallel lines?
A general linear equation is written in the slope-intercept form as:
y = a*x +b
Where a is the slope and b is the y-intercept.
Two lines are parallel if the slopes are equal but the y-intercepts are different.
So, here we want to find lines parallel to:
y = 2x - 1
These lines have the form:
y = 2x + b
a) If we want our line to pass thrugh A(0,1), we can replace the values of the point to get:
1 = 2*0 + b
1 = b
So the line is y = 2x + 1
b) if we want the line to pass through A(1,2) we can replace the values to get:
2 = 2*1 + b
2 = 2 + b
2 - 2 = b
0 =b
So this line is:
y = 2x
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2. Is the set of rational expressions closed under multiplication? Explain
(p(x)/q(x)) (r(x)/s(x))
Answer:
Yes, the set of rational expressions is closed under multiplication.
Step-by-step explanation:
A rational expression is a fraction of polynomials, where the numerator and denominator are both polynomials with coefficients in some field, such as rational numbers. When we multiply two rational expressions, we reproduce two fractions of polynomials.
To multiply two fractions, we multiply their numerators and denominators separately and then simplify the result if possible. When we multiply the numerators and denominators of two rational expressions, we get new polynomials, which are still polynomials with coefficients in the same field. Therefore, the multiplication result is still reasonable, and the set of rational expressions is closed under multiplication.
For example, consider the following two rational expressions:
(a + 1) / (b + 2) and (c - 3) / (d - 4)
Their product is:
[(a + 1) / (b + 2)] * [(c - 3) / (d - 4)]
= (a + 1)(c - 3) / (b + 2)(d - 4)
The result is still rational since the numerator and denominator are both polynomials with coefficients in the same field. Therefore, the set of logical expressions is closed under multiplication.
The weight, in pounds, of a baby in the first six months of life can be modeled by the function f(x) = 1.5x +7, where x is the age of the baby
in months. According to this model, what is the weight, in pounds, of a baby at age 5 months?
A. 8.5
B. 12.0
C. 13.5
D. 14.5
To find the weight of a baby at age 5 months, we can substitute x=5 in the given function:
f(5) = 1.5(5) + 7
f(5) = 7.5 + 7
f(5) = 14.5
Therefore, the weight of a baby at age 5 months is 14.5 pounds. Answer: D.
12. When 3a2-7a+6 is subtracted from 4a²-3a +4, the result is
(1) a² +4a-2
(2) a²-10a-2
(3)-a²-4a+2
(4) 7a²-10a+10
Answer:
(1) a² +4a-2
Step-by-step explanation:
[tex]4a^2-3a\:+4\:-\:\left(3a^2-7a+6\right)\\\\= 4a^2-3a\:+4\:- 3a^2 + 7a -6[/tex]
Grouping like terms
[tex](4a^2 -3a^2) +(-3a + 7a) +(4 - 6)\\\\= a^2 +4a - 2[/tex]
x -3y =12 in slope-intercept form
Answer:
y = (1/3)x - 4
Step-by-step explanation:
put y on one side
x -3y =12
y =12-x/-3
y=12/-3 -x/-3
y=-4 + 1/3x
chatgpt
Use synthetic division to determine if x +3 is a factor of the given polynomial
[tex]2x^3+7x^2+3[/tex]
Answer:
After performing synthetic division, as the last number in the bottom row is not zero, this indicates that (x + 3) is not a factor of the given polynomial.
Step-by-step explanation:
Given polynomial function:
[tex]2x^3+7x^2+3[/tex]
To determine is (x + 3) is a factor of the given polynomial by the method of synthetic division:
Place "-3" in the division box.Write the coefficients of the dividend in descending order.Note: As the x term is missing, place a zero in its place.
[tex]\begin{array}{c|cccc}-3 &2&7&0&3\\\cline{1-1}\end{array}[/tex]
Bring the leading coefficient straight down:
[tex]\begin{array}{c|cccc}-3 &2&7&0&3\\\cline{1-1}&\downarrow&&&\\\cline{2-5}&2&&&\end{array}[/tex]
Multiply the number you brought down with the number in the division box and put the result in the next column (under the 7):
[tex]\begin{array}{c|crrr}-3 &2&7&0&3\\\cline{1-1}&\downarrow&-6&&\\\cline{2-5}&2&&&\end{array}[/tex]
Add the two numbers together and put the result in the bottom row:
[tex]\begin{array}{c|crrr}-3 &2&7&0&3\\\cline{1-1}&\downarrow&-6&&\\\cline{2-5}&2&1&&\end{array}[/tex]
Repeat:
[tex]\begin{array}{c|crrr}-3 &2&7&0&3\\\cline{1-1}&\downarrow&-6&-3&9\\\cline{2-5}&2&1&-3&12\end{array}[/tex]
The bottom row (except the last number) gives the coefficients of the quotient. The degree of the quotient is one less than that of the dividend. The last number in the bottom row is the remainder.
Therefore, if we divide the polynomial by (x + 3) we get:
[tex]2x^2+x-3+\dfrac{12}{x+3}[/tex]
As the last number in the bottom row is not zero, this indicates that (x + 3) is not a factor of the given polynomial.
Julie bought 3 ice creams and we give her back $3.25 change on a $10 bill. What is the price of an ice cream?
(Show your solution by using an equation)
The price of an ice cream is 2.21666666667 in other words, 2.21$
How long is 1/3 of 3 hours
Answer: 1 hour
Step-by-step explanation: 3/3 = 1 you divide by 3 to get a third
Answer:
1 hour
Step-by-step explanation:
To solve this, we can multiply 3 by [tex]\frac{1}{3}[/tex].
3 × [tex]\frac{1}{3}[/tex] = 1Therefore, [tex]\frac{1}{3}[/tex] of 3 hours is 1 hour.
What is Metric and Imperial System?
The metric system is defined as the decimal system of units based on the meters, kilograms, and second as the units of length, mass, and time respectively. The imperial system is defined as the measurement system used in countries like the UK, Liberia, Myanmar, etc. that uses units like an inch, pound, ton etc.
The Metric and Imperial systems are both systems of measurement. That is, they are not just one unit of measure, but are correlated systems of many units of measure – measuring length and area, weight and mass, volume, force, temperature etc.
The imperial system of measurement is defined as a system that originated in Britain and came to formal use in the early 19th century with the Weights and Measures Act of 1824 and 1878. It uses some of the commonly used units there like an inch, ton, pound, gallon, pint, etc.
Most countries use the metric system which uses the measuring units such as meters and grams, and adds prefixes like kilo, milli, and centi to count orders of magnitude.
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A test for a disease will show accurate results 97% of the time. A testing company selects 3 random individuals that are known to have the disease.
a. What is the probability that only one of the individuals will test accurately?
b. what is the probability that none of the individuals test accurately?
c. what is the probability that at least two individuals test accurately?
Answer:
individuals will test accurately?
b. what is the probability that none of the individuals test accurately?
c. what is the probability that at least two individuals test accurately?
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Question 1-6 performance matters
Compare the number of squares with the number of triangles.
DDDDDΔΔΔΔΔΔΔΔ
If the ratio of squares to triangles remains the same, how many squares will there be when there are 24 triangles?
15 squares will there be when there are 24 triangles to maintain the ratio.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
We have 5 squares and 8 Triangles.
let the number of square be x when there is 24 triangles.
using Proportion
5/8 = x / 24
8x = 120
x = 15
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danielle construct a scale model of byilding with a rectangule base. her model is 2 inchs in length and 1 inch in width. the scale on the model is 1 inch = 47 feet. what is the actual area, in ssquare feet of the base o the buidlding
Answer:
Step-by-step explanation:
If 1in is equal to 47 feet irl, then that means that the actual width is 47ft and the actual length is 94ft.
Multiply those two together and you get 4,418 sq ft as your answer.
Please answer all I will give brainlly
After getting the product, and simplifying it the correct statement should be: [tex](3^4) \times (2^3) = 648[/tex]
Describe Simplification?In mathematics, simplification refers to the process of simplifying an expression or equation without affecting its fundamental meaning or value. Using mathematical tools and rules to simplify an equation makes it simpler to manipulate or solve.
In algebra, simplification might take the form of factoring out common factors, grouping like concepts, or distributing multiplication across addition or subtraction. For instance, merging two like terms will simplify the formula 2x + 4x to 6x. The same strategy can be used to reduce the expression 3(x + 2) - 2(x - 1) to 3x + 4 by spreading out the multiplication and combining related terms.
1. The error is in the simplification of the product of the two terms. The correct way to simplify it is to multiply the coefficients and add the exponents of x.
The correct solution is:
[tex](3x^2)(-2x^4) = (3 \times -2)x^{(2+4)} = -6x^6[/tex]
Therefore, the error is in the sign of the result, which should be negative instead of positive. The correct answer is[tex]-6x^6.[/tex]
2. The error is in the distribution of the exponent on the coefficient 4. The correct way to simplify the product is to add the exponents of a and then multiply by the coefficient 4.
The correct solution is:
[tex]4a^2 \times 3a^5 = (4 \times 3) a^{(2 + 5)} = 12a^7[/tex]
Therefore, the error is in the addition of the coefficients instead of multiplying them, and the incorrect distribution of the exponent on the coefficient 4. The correct answer is [tex]12a^7.[/tex]
3. There is no error in this simplification.
The product of[tex]x^6, x, and $ x^3 $[/tex] is equivalent to [tex]x^{(6+1+3)} = x^{10}[/tex]
However, the answer given in the question, x^9, is incorrect.
4. The given statement is incorrect.
The product of[tex](3^4) and (2^3)[/tex] can be simplified as follows:
[tex](3^4) \times (2^3) = 81 \times 8 = 648[/tex]
Therefore, the correct statement should be:
[tex](3^4) \times (2^3) = 648[/tex]
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What is the conversion of 5.9 feet in cm?
The value of 5.9 feet after the conversion to centimeter is equivalent to 179.9 cm .
The "Feet" and "Centimeters" are both the units of measurement for length.
The unit "Feet" are primarily used in the United States and other countries that follow the Imperial system, while "centimeters" are part of the metric system used in most other parts of the world.
We know that 1 feet is approximately equal to 30.48 cm ;
So , the conversion factor is = 30.48cm ;
To convert the given number we multiply , by the conversion factor ,
We can write :
⇒ 5.9 feet = 5.9 × 30.48 cm ;
⇒ 5.9 feet = 179.832 cm ≈ 179.9 cm .
Therefore , the value of 5.9 feet is approximately equal to 179.9 cm .
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The first To Answer Gets Brainliest!!!
These lines never intersect, there are no solutions to the equation.
Describe Graph?In mathematics, a graph is a visual representation of a set of objects and the relationships between them. Graphs are widely used in many areas, including mathematics, computer science, engineering, social sciences, and more.
A graph consists of two main components: vertices (also known as nodes) and edges. The vertices represent the objects, and the edges represent the connections or relationships between them. The edges can be directed or undirected, meaning they can be one-way or two-way relationships.
There are many types of graphs, including:
Undirected graphs: Graphs in which edges have no direction.
Directed graphs: Graphs in which edges have a direction, often represented by arrows.
Weighted graphs: Graphs in which edges have weights or values, representing some kind of numerical data.
Bipartite graphs: Graphs in which the vertices can be divided into two distinct sets, with edges only connecting vertices in different sets.
Complete graphs: Graphs in which every vertex is connected to every other vertex by an edge.
Graphs are used to model and analyze various kinds of data, such as social networks, transportation systems, financial transactions, and more. They are also used in algorithms and data structures, such as shortest path algorithms and tree data structures. In addition, graphs are often visualized using software tools to help people better understand complex relationships and patterns in data.
The given equation is 3x + 1 = 3x + 2.
Subtracting 3x from both sides, we get:
1 = 2
This is a contradiction and there are no values of x that can satisfy this equation.
On a graph, this can be seen as follows:
Plotting the graphs of y = 3x + 1 and y = 3x + 2, we get two parallel lines.
Since these lines never intersect, there are no solutions to the equation.
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