The horse that can be fed with 44 bales of hay is 110 horses.
How many horses can be fed?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.
Given that the average adult horse needs 2/5 bale of hay each day to meet dietary requirements and a horse farm has 44 bales of hay.
The number of horses that can be fed will be:
= Total number of hay / Fraction needed
= 44 ÷ 2/5
= 44 × 5/2
= 22 × 5
= 110
100 horses can be fed.
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Expand and fully simplify (x+5)(x+4)(x+4)
Answer: (x+5)(x+2)^2
Step-by-step explanation: Expanding (x+5)(x+4)(x+4) gives:
(x+5)(x+4)(x+4) = x(x+4)(x+4) + 5(x+4)(x+4)
= x^2(x+4) + 4x(x+4) + 5x(x+4) + 20(x+4)
= x^3 + 4x^2 + 5x^2 + 20x + 16x^2 + 80x + 20x + 80
= x^3 + 9x^2 + 45x + 80
Fully simplifying this expression gives:
x^3 + 9x^2 + 45x + 80 = (x+5)(x^2+4x+16)
= (x+5)(x+2)^2
joan, compliance officer at xyz hospital, explains to the hospital board that in 2003 a provision was added to emtala that stated that there is a yard zone that continues to apply when defining the hospital campus. how many yards are included in this zone? a. 500 b. 100 c. 200 d. 250
The stated zone in EMTALA in 2003 when defining a hospital campus is d. 250 yards
What is EMTALA?
EMTALA stands for Emergency Medical Treatment & Labor Act. It is passed by the US Congress in 1986 to ensure public access to emergency services regardless of ability to pay.
2003 revision of EMTALA provides that the 250-yard zone will continue to apply when defining the "hospital campus". However, that sphere does not include non-medical businesses (shops and restaurants located close to the hospital), nor does it include physicians' offices or other medical entities that have a separate Medicare identity.
Hence, the correct answer is d. 250 yards.
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find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius cm. what is the maximum volume?
The dimensions of a right circular cylinder of maximum volume are
[tex]5\sqrt{6}[/tex] and [tex]10\sqrt{3}[/tex].
Given the radius of sphere is 15 cm.
Let's assume radius of right circular cylinder = r
height of right circular cylinder = h.
Since the cylinder is inscribed in the sphere, their centers will coincide. As a result, the height is divided into two equal portions from the sphere's center. Therefore, we can apply Pythagoras' Theorem to get the cylinder's half-height in terms of radius.
[tex]R^2 = r^2 + (h/2)^2[/tex].
[tex]r^2=R^2-h^2/4[/tex]
Volume of cylinder = [tex]\pi r^2h[/tex]
Now we can substitute value of [tex]r^2[/tex] in volume of cylinder.
V = π*([tex]R^2[/tex] - [tex]h^2[/tex]/4)*h
taking R = 15 .
V = π*(225 - [tex]h^2[/tex]/4)*h
V = π*225*h - π*[tex]h^3[/tex]/4
For maximum volume we have to do derivative of volume = 0
derivative with respect to h.
V' = π*225 - 3*π[tex]h^2[/tex]/4
V' = 0
π*225 - 3*π[tex]h^2[/tex]/4 = 0
3*[tex]h^2[/tex]/4 = 225
[tex]h^2[/tex] = 75*4
h = [tex]10\sqrt{3}[/tex]
put the value of h in [tex]r^2=R^2-h^2/4[/tex]
[tex]r^2[/tex] = 225 - (300/4)
[tex]r^2[/tex] = 150
r = [tex]5\sqrt{6}[/tex]
Given Question is incomplete, Complete Question here
find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 15 cm. what is the maximum volume?
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Michelle used a \$20$20dollar sign, 20 bill to pay for a notebook that only costs ppp dollars. How much change did michelle receive from the cashier? write your answer as an expression.
The expression that represents the change that the cashier handed Michelle is $20 - $P.
What do we mean by expressions?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.
A collection of numbers, symbols, and operators (like + and ) that represent a value.
Examples: The phrase 2 + 3 is one.
We must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression.
So, Michelle purchased a notepad for P dollars with $20 cash.
Now, considering that Michelle paid P dollars for a notepad using a $20 bill.
As a result, the cashier gave Michelle $20 - $P.
Therefore, the expression that represents the change that the cashier handed Michelle is $20 - $P.
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Correct question:
Michelle used a $20 bill to pay for a notebook that only costs P dollars
How much change did Michelle receive from the cashier?
Write your answer as an expression.
What is the slope of a line perpendicular to the line whose equation is 3x+18y=1083x+18y=108.
The slope of a line perpendicular to the given equation of line is 6.
Explain the term slope of the line?A line's slope is how steeply it slopes from LEFT toward RIGHT. The slope of a line is determined by dividing its rise, or vertical change, by its run, or horizontal change. No matter which two locations here on line you choose, the slope of this line will always be constant (it never varies).For the stated question, the equation of the line is given as;
3x + 18y = 10
This can be written as;
y = -3/18 x + 10/18
y = -1/6 x + 5/9
Comparing with general equation of line in slope intercept form.
y = mx + c
slope m = -1/6
The relation of slope for the two perpendicular lines are-
m x m1 = -1
m1 = -1/(-1/6)
m1 = 6
Thus, the slope of a line perpendicular to the given equation of line is 6.
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find a parametric representation using spherical-like coordinates for the upper half of the ellipsoid 4x2 8x 9 y2 36(z 1)2
A parametric representation using spherical-like coordinates for the upper half of the ellipsoid is given by x2 = 9 + -2.25y2 + 0.25z2.
What is ellipsoid?
A sphere can be deformed into an ellipsoid by applying directional scalings, or more generally, an affine transformation, to it.
A quadric surface, or surface that can be described as the zero set of a polynomial of degree two in three variables, is an ellipsoid. An ellipsoid among quadric surfaces has one of the two characteristics listed below. Every cross section of a flat surface is either an ellipse, empty, or reduced to a single point (this explains the name, meaning "ellipse-like"). It can be contained in a sphere that is big enough because it is bounded.
Three pairwise perpendicular axes of symmetry intersect at an ellipsoid's center of symmetry, or the
According to our question-
To each side of the equation, add "-9y2".
4x2 + 9y2 + -9y2 + -1z2 = 36 + -9y2
combining similar terms 9y2 + -9y2 = 0
4x2 + 0 + -1z2 = 36 + -9y2
4x2 + -1z2 = 36 + -9y2
To either side of the equation, add "z2".
4x2 + -1z2 + z2 = 36 + -9y2 + z2
Hence, A parametric representation using spherical-like coordinates for the upper half of the ellipsoid is given by x2 = 9 + -2.25y2 + 0.25z2.
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The ratio of minutes to gallons of water flowing through a garden hose is 2 to 12 carlota says that an equivalent ratio of minutes to gallons is 6 to 1 is Carlota correct?
Answer:
no
Step-by-step explanation:
2 : 12 = 1 : 6
The inequality -4x + 1 > y describes which of the following graphs?
Sam and ben are grading english tests. Sam grades 6 tests in 24 minutes and ben grades 5 tests in 20 minutes. At these rates, what is the total number of tests they can grade in 3 hours? enter the answer in the box.
The total number of tests they can grade in 3 hours are 90.
What is graded test?
Your grade in an exam or written assignment is the letter or number you receive as a mark that represents your level of proficiency.
A graded exercise test (GXT) is a screening tool for determining a person's level of fitness. The test measures the cardiovascular response to exercise in order to assess the participant's capacity for exercise.
Since, the number of minutes in 3 hours is:
= 3 x 60 minutes per hour
= 3 x 60
= 180 minutes
The number of tests that Sam can grade in these 3 hours is therefore:
= ( Number of total minutes / Minutes taken by Sam for 6 tests) x 6 tests
= ( 180 / 24) x 6
= 45 tests
The number of tests that Ben can grade are:
= ( Number of total minutes / Minutes taken by Ben for 5 tests) x 5 tests
= ( 180 / 20 ) x 5
= 45 tests
So, the total number of tests they can grade in 3 hours is:
= 45 + 45
= 90 tests
Hence, the total number of tests they can grade in 3 hours are 90.
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How do you find the unit rate of a number
what will happen (other things being equal) if you decrease the confidence level for a given confidence interval?
The breadth of the confidence interval grows as the confidence level does. The breadth of the confidence interval reduces as the confidence level rises.
Generally speaking, the more information we know on the level of the population parameter, the narrower a confidence interval becomes. As a result, we want to make sure that all of the confidence intervals are as small as feasible. So let's look at the variables that influence the mean's t-interval width.
The margin of error grows as the degree of confidence does because we require a broader interval to improve our level of confidence that the interval includes the population mean.
Because the standard error is reduced as sample size increases, confidence intervals are narrower.
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The graph shows the relationship between x and y-values. Find the value of m.
The line has a slope with a measure of 8 / 5.
How to determine the slope of a line
According to Euclidean geometry, lines can be constructed by knowing the location of two distinct points on a plane. By analytic geometry we can determined the slope of the line by knowing these two points and using the secant line formula:
m = Δy / Δx
Where:
m - Slope of the lineΔx - Change in the horizontal axis.Δy - Change in the vertical axis.If we know that (x₁, y₁) = (- 2, - 5) and (x₂, y₂) = (2, 3), then the slope of the line shown in the picture is:
m = [3 - (- 5)] / [3 - (- 2)]
m = 8 / 5
The slope of the line is equal of 8 / 5.
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Determine the area under the standard normal curve that lies to the left of (a) Z=-1.66, (b) Z= -0.03, (c) Z=-0.26, and (d) Z=1.08.
The area to the left of Z= -1.66 is__
(Round to four decimal places as needed.)
Answer:
is 364
Step-by-step explanation:
The rule for a pattern is "star, square, triangle, circle." What is the 13th shape in this pattern?
Answer:
star
Step-by-step explanation:
if you continue the pattern, the 13th is star
Which term bet describes the force on an object with a net force is zero
Answer:
If the net force on an object is zero, then the object is in equilibrium. It means the sum of the forces in all directions must be equal to zero.
Answer: equilibrium
Step-by-step explanation: When an object is in equilibrium (either at rest or moving with constant velocity), the net force acting on it zero.
2x-10
factor out........
Answer:
2 x-5
Step-by-step explanation:
the measures of a pair of supplementary angles are in the ratio of $7:2$. how many degrees are in the measure of their positive difference?
Answer:
100°
Step-by-step explanation:
You have two supplementary angles in the ratio 7:2, and you want the measure of their positive difference.
Ratio unitsThe sum of supplementary angles is 180°. The sum of the ratio units in the ratio 7:2 is 7+2 = 9, so each ratio unit must stand for 180°/9 = 20°.
The difference in ratio units is 7 -2 = 5, so the difference in the angles will be 5·20° = 100°.
The measure of their difference is 100°.
__
Additional comment
The two angles are 7·20° = 140°, and 2·20° = 40°. The difference is 140° -40° = 100°.
Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Third-degree, with zeros of −3, −1, and 2, and a y-intercept of −14.
The polynomial equation with zeroes of -3, -1, 2 and y-intercept of -14 is x^3 +2x^2 -5x -20.
what are zeroes of a function?The zeros of a function f(x) are values of the variable x such that the values satisfy the equation f(x) = 0. The zeros of a function are also called the roots of a function.
if -3, -1, 2 are zeroes of y(x) with an intercept d then
y(x) = (x-a)(x-b)(x-c) + d
where a = -3, b = -1, c = 2, d = -14
Substituting we have
y(x) = (x+3)(x+1)(x-2) -14
let us expand the first two linear factors
(x+3)(x+1) =x^2 +3x + x + 3 which is x^2 + 4x + 3
multiply this result with (x-2), we have
(x-2)(x^2 + 4x +3)
x^3 + 4x^2 +3x -2x^2 -8x -6
simplifying it becomes x^3 +2x^2 -5x -6
y(x) = x^3 +2x^2 -5x -6 -14
y(x) = x^3 +2x^2 -5x -20
In conclusion the polynomial function is x^3 +2x^2 -5x -20
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the price for bananas was 75 cents per pound over last month. today, we see that it's been marked up to 81 cents per pound. what is the increase in percent
When bananas cost 75 cents per pound over the previous month, the increase was 8%. Today, we notice that the price per pound has increased to 81 cents.
What is percent?In essence, percentages are fractions with a 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Here,
The solution is attached in image.
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help, please brainlest and points if right
Answer:
C
Step-by-step explanation:
yeah I think it's c there's 35% it's C
assume three dictionaries are assigned to the variables, canadian capitals, mexican capitals, and us capitals. these dictionaries map provinces or states to their respective capitals. write code that creates a new dictionary that combines these three dictionaries, and associate it with a variable named nafta capitals.
The code is written in nafta capital python.
canadian_capitals = {"Alberta":"Edmonton", "British Columbia":"Victoria", "Manitoba":"Winnipeg"} ( I created the first dictionary with the variable name called canadian_capital. Notice the province of Canada is mapped to to their respective capitals.)
mexica_capitals ={"Aguascalientes":"Aguascalientes", "Baja California":"Mexicali", "Baja California Sur":"La Paz"} ( I created the second dictionary with the variable name called mexican_capital. The states are also mapped to their respective capitals.)
us_capitals ={"Alabama":"Montgomery", "Alaska":"Juneau", "Arizona":"Phoenix"} ( I created the third dictionary with the variable name called us_capital. The states are also mapped to their respective capitals.)
nafta_capitals = {} (This is an empty dictionary with the variable name nafta_capitals to combine the 3 dictionaries.)
nafta_capitals.update(canadian_capitals) (I updated the empty dictionary with the canadian_capitals dictionary.)
nafta_capitals.update(mexica_capitals) (I also added the mexica_capitals dictionary to the nafta_capitals dictionary.)
nafta_capitals.update(us_capitals) I also added the us_capitals dictionary to the nafta_capitals dictionary.
print(nafta_capitals) ( The whole 3 dictionaries have been combined to form the nafta_capitals dictionary. The print function displays the already combine dictionaries.)
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mr. goodman sets a goal to outscore these numbers. at the end of the year he takes a random sample of his evaluations and finds 10 1's, 13 2's, 48 3's, and 52 4's. at the 0.05 level of significance, can mr. goodman claim that his evaluations are significantly different than the history department's?
No as their no difference in Mr. Goodman's evaluation and the History department
What is Statistics ?
The study of statistics is the field that deals with the gathering, structuring, analyzing, interpreting, and presenting of data. In order to apply statistics to an issue in science, business, or society, it is customary to start with a statistical population or a statistical model that will be investigated.
descriptive statistics types in mathematics The data in this type of statistics is summarized using the provided observations. Statistics that are inferential. To interpret the meaning of descriptive statistics, this kind of statistics is employed. Example of Statistics.
Seeing the data we can conclude that their no difference in Mr. Goodman's evaluation and the History department
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singapore's area of land is 130 square kilometers and its population density is 8,350 people per square km. the number of people in singapore is closest to:
The number of people in Singapore is 1085500 people .
In the question ,
it is given that ,
the Singapore's land area is = 130 square kilometer ,
the population density of Singapore is = 8350 people per square kilometer ,
So , the number of people in Singapore can be calculated using the formula ,
Number Of People = (population density of Singapore)×(land area of Singapore)
Substituting the value of population density and land area , we get
hence , Number Of People = 8350 × 130
= 1085500 people .
Therefore , the number of people are 1085500 .
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Solve the proportion
Answer:
Step-by-step explanation:
98
Answer:
8
Step-by-step explanation:
powerball is played with 59 white balls, numbered 1 through 59, and 35 red balls, numbered 1 through 35. five white balls and one red ball, the powerball, are drawn. in how many ways can a player select the six numbers?
The total ways of selecting 6 numbers in 175223510 Ways.
What is Permutation?A permutation is an grouping or the combination of items that is drawn from a set of which the placement or an arrangement of the given objects is significant. In the other terms, an arrangement of the items in the specific order is a permutation.
Total number of White balls = 59
Total number of red balls = 35
Way of choosing 5 white balls = ⁵⁹C₅
= [tex]\frac{59!}{54! 5!}[/tex]
=5006386 ways
Way of choosing 1 red ball = ³⁵C₁
=35 ways
Hence Total ways would be =
5006386 * 35 = 175223510 Ways
Hence the total ways of selecting 6 numbers in 175223510 Ways.
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what is the probability that headway is within 1 standard deviation of the mean value? (round your answer to three decimal places.)
There is a 0.890 percent chance that headway will be within one standard deviation of the mean.
The mean value is what?
The mean, or average of the given numbers, is calculated by dividing the sum of the numbers by the total number of numbers.
The sum of all possible values, weighted by the likelihood of each value, constitutes the mean of a discrete probability distribution of the random variable X. Each possible value of X must be multiplied by its probability, P(x), before being added to determine the mean.
P(0.995 ≤ x ≤ 1.445) = F(1.445) - F is the given mean value (0.995).
The distribution's cdf is
f(x) = { (1 - 1/x⁶ , x > 1) (0. x ≤ 1)
Determine the values of F(1.445) and F now (0.995).
F(1.445) = 1 - (1/(1.445)⁶)
F(0.995) = 0
Now, using the values of F(1.445) and F(0.995) in P( 0.995 ≤ x ≤ 1.445) to get F(1.445) - F(0.995):
P( 0.995 ≤ x ≤ 1.445)
=1 - (1/(1.445)⁶) - 0
=0.890
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A pet store clerk suggested 5 small fish for a 6-gallon fish tank. What size tank would be suggested to hold 40 small fish?.
For containing the 40 small fish, the size of the fish tank required is
48 -gallon.
Explain the meaning of the term unitary method?The unitary approach includes determining the value of an individual unit, from which we can calculate the values of the necessary number of units. By using the unitary technique, we may calculate the value of a particular unit from the values of several other units, and then we can use this value to calculate the value of the necessary number of units.As the stated question-
For 5 small fish -----> 6-gallon fish tank required.
Then, for 1 small fish,
1 small fish -----> 6/5 -gallon fish tank required.
For the total of 40 small fish.
40 small fish -----> 40x6/5 -gallon fish tank required.
40 small fish -----> 48 -gallon fish tank required.
Thus, for containing the 40 small fish, the size of the fish tank required is
48 -gallon.
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a super happy fun ball is dropped from a height of 6 feet and rebounds 10 11 of the distance from which it fell.
The ball will need to travel 126 feet since it will be dropped from a height of 6 feet and then bounce 10/11 feet.
What is division?A number is split in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of things being distributed among a set of individuals, as in the example given above. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.
Here,
2*{6/(1-10/11)}-6
2*(6/1/11)-6
2*6*11-6
required distance=126 feet
The required distance will be 126 feet as the ball is dropped from 6 feet and rebounds 10/11 of the distance.
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A 7 ft tall person is walking away from a 20 ft tall lamppost at a rate of 5 ft/sec. Assume the scenario can be modeled with right triangles. At what rate is the length of the person's shadow changing when the person is 16 ft from the lamppost?
In similar triangles, both the two triangles must satisfy the two properties. One is the side proportional, and the other is equal in angles. There are three criteria in similarity. They are AA similarity, SSS similarity, and SAS similarity. The below one satisfies the AA similarity.
The length of the shadow is changing rate at 2.69 [tex]\frac{ft}{sec}[/tex].
What do you mean by length?
The measurement or size of something from end to end is referred to as its length. To put it another way, it is the greater of the higher two or three dimensions of a geometric shape or object. For instance, the length and width of a rectangle define its dimensions.
According to data in the given question,
We have the given information:
The height of the person is 7 ft.
The person is walking away from the post at a rate of 5ft/sec.
The height of the lamppost is 20ft.
Let the person's distance from the bottom of the light post be x ft.
And his shadow's length is y ft.
Form the similar triangles,
[tex]\frac{x+y}{20}=\frac{y}{7}\\[/tex]
7(x+y) = 20y
7x+7y = 20y
20y-7y = 7x
13y = 7x
y = [tex]\frac{7}{13}x[/tex]
Now, we will differentiating wrt t,
[tex]\frac{dy}{dt}=\frac{7}{13}\frac{dx}{dt}................(1)[/tex]
We know that,
[tex]\frac{dx}{dt}=5\frac{ft}{sec}[/tex]
Putting the value of [tex]\frac{dx}{dt}[/tex] in equation (1),
[tex]\frac{dy}{dt}=\frac{7}{13}.5=\frac{35}{13}=2.69\frac{ft}{sec}[/tex]
Therefore, the length of the shadow is changing rate at 2.69 [tex]\frac{ft}{sec}[/tex].
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Students filled 6 rows in Level 1 of Section A and 3 rows in Level 3 of Section B.
How many students were seated in the auditorium?
Number of Seats Per Row in the Auditorium
Section Level 1 Level 2 Level 3
A 9 12 14
B 12 16 18
Which steps are used to solve this problem? Select all that apply.
A.
Find how many seats are in each of the rows where the students are sitting.
B.
Add 6 and 3 to find the number of rows that are filled in all.
C.
Add 9 and 18 to find the number of seats that are filled in each row.
D.
Multiply 6 and 9 to find the number of students seated in Section A.
E.
Multiply 3 and 18 to find the number of students seated in Section B.
F.
Multiply 9 and 27 to find the number of students seated in the auditorium
As per the unitary method, the number of students in the auditorium is 108
Unitary method.
In algebra, the process of finding the value of a single unit, and based on this value is known as unitary method.
Given,
Students filled 6 rows in Level 1 of Section A and 3 rows in Level 3 of Section B.
Here we need to find the number of students were seated in the auditorium.
As per the given table, in level 1, the total number of rows in A section is 9.
So, the number of students is
=> 9 x 6
=> 54
Similarly, there are 3 rows in Level 3 of Section B.
So, the number of students in the level 2,
=> 3 x 18
=> 54
Therefore, the total number of students is,
=> 54 + 54 = 108
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