Answer: 8 Nights
Step-by-step explanation:
Cost of a plane ticket to Florida(c) = $1000
cost at the hotel per night (n)
Amount left with Karla after spending on the flight ticket =
$3000-$1000= $2000
To find out how many nights she can stay we should divide the remaining amount she has with (n) = $2000/$250 = 8
Hence Karla can stay for 8 nights
A line is graphed on the coordinate grid to the right.
Which equation describes the line?
A.y=x/2+1/3
B.y = x/3+1/2
C.y=x/2+15 1/2
D.y=x/3+15 1/2
The equation of the line would be y = x/3 + 1/2.
Option (B) is correct.
What is the slope-intercept form of the line?
The slope-intercept equation is used to find the general equation of a straight line using its slope and the point where it intersects the y-axis. The slope intercept form equation is given as, y = mx + b.
As we can see in the graph the line cuts the y-axis at y = 1/2
so the y-intercept of the line would be c = 1/2.
And when x=4, y = 2
So we can prepare the equation as y = x/3 + 1/2.
Hence, the equation of the line would be y = x/3 + 1/2.
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The equation of the line would be y = x/3 + 1/2.
Option (B) is correct.
What is the slope-intercept form of the line?
The slope-intercept equation is used to find the general equation of a straight line using its slope and the point where it intersects the y-axis. The slope intercept form equation is given as, y = mx + b.
As we can see in the graph the line cuts the y-axis at y = 1/2
so the y-intercept of the line would be c = 1/2.
And when x=4, y = 2
So we can prepare the equation as y = x/3 + 1/2.
Hence, the equation of the line would be y = x/3 + 1/2.
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How to calculate rate of change of y=4x-3
Answer:
4
Step-by-step explanation:
Answer:
The rate of change is 4
Step-by-step explanation:
The rate of change is the slope.
Since the equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 4x-3
The slope is 4 and the y intercept is -3
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term.5, 6, 7, 8, ...
An expression which describe the given sequence is, an = -2 + n.
Arithmetic sequence states that a sequence where the difference between each successive pair of terms is the same.
What is the general formula for arithmetic sequence?an = -2 + n is an expression which describe the given sequence
The general rule for the arithmetic sequence is given by,
an = a + (n - 1)d ......[1]
where, denotes the initial word.
the common difference
there are n terms;
The given order is -1, 0, 1, 2,.....
This is a frequent difference arithmetic sequence.
Since,0-(-1) = 1
1-0 =1
2-1 = 1 ....
Here, a1 = -1
When you replace [1] with the value of d = 1, you get, a1 = -1
an = -1 + (n -1)(1)
an = -2 + n
Consequently, the following expression describes the given sequence: an = -2+n.
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Subtract 7x-9 from 2x² - 11.
O 2x²-7x-20
02x²-7x-2
O 2x²+7x-20
O 2x²+7x-2
The required, subtraction of 7x-9 from 2x² - 11 is 2x²-7x-2. Option B is correct.
What is arithmetic?Arithmetic is a branch of mathematics that deals with the study of numbers, their properties, and their operations. It involves the basic operations of addition, subtraction, multiplication, and division, as well as more advanced operations such as exponents, roots, logarithms, and trigonometric functions.
Here,
To subtract 7x-9 from 2x² - 11, we need to distribute the negative sign across 7x and 9, and then combine like terms.
=2x² - 11 - (7x - 9)
= 2x² - 11 - 7x + 9
= 2x² - 7x - 2
Therefore, the answer is 2x²-7x-2.
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Point E is on line segment DF. Given DF = 19 and DE = 4, determine the
length EF.
Answer: EF =
Submit Answer
The length of EF in line segment DF is 15.
What is line segment ?A line segment's boundaries are two separate places on the same line. Another way to describe a line segment is as a piece of the line that joins two points.
Given that,
Length of line segment DF = 19.
Also, E is any point on line segment,
And DE = 4.
To find the length of EF,
Since, E lies on line segment DF,
Implies that,
DE + EF = DF
4 + EF = 19
EF = 15
The required length of EF is 15.
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Prior to the current period, Sol Berenson had earnings subject to FICA tax of $138,600. This week, Sol has gross earnings of $4,900, so he will have $ withheld in FICA tax for this period.
The amount withheld in FICA Tax for Sol Berenson's weekly earnings is given as follows:
$749.7.
How much will be withheld by the FICA Tax?To calculate the amount withheld by Berenson's employer in FICA tax, we apply the proportion of the FICA tax to his total earnings.
Researching on a web search, the FICA tax rate is given as follows:
15.3% = 0.153.
As the FICA tax is a combination of the Medicare tax with the Social Security tax.
Sol Berenson's gross weekly earnings are given as follows:
$4,900.
(as stated in the problem).
The amount withheld is 15.3% of that, which is found applying the proportion, which is the multiplication of 0.153 by 4900 as follows:
Amount Withheld = 0.153 x 4900 = $749.7.
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Denominator is 3 more than numerator. If both are increased by 2, the result is 2/3.
Eqn 1:
Eqn 2:
Answer:
Step-by-step explanation:
let numerator=x
denominator=x+3
again
[tex]\frac{x+2}{x+3+2} =\frac{2}{3} \\3(x+2)=2(x+5)\\3x+6=2x+10\\3x-2x=10-6\\x=?[/tex]
x=4
number is
[tex]\frac{4}{4+3} \\=\frac{4}{7}[/tex]
Given the geometric sequence twenty-seven sixteenths comma negative nine eighths comma three fourths comma and continuing comma what is a6?
a
two ninths
b
negative two ninths
c
negative 81 over 128
d
81 over 128
The 6th term of the geometric sequence 27/16, -9/8, 3/4..... is - 2/9
The correct answer option is option B
What is the 6th term of the geometric sequence?Given: 27/16, -9/8, 3/4.....
nth term = ar^(n-1)
Where,
First term, a = 27/16
Common ratio, r = -9/8 ÷ 27/16
= -9/8 × 16/27
= -2/3
6th term = ar^(n-1)
= 27/16 × -2/3^(6-1)
= 27/16 × -2/3^5
= 27/16 × -32/243
= - 2/9
In conclusion, negative two ninths is the 6th term of the geometric sequence.
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Use Figure 1 to evaluate the trigonometric function.
A right triangle with side a of length 13 opposite of angle A, and side b of length 6 opposite of angle B.136
Figure 1
Enter the exact answer.
tanB=
Change entry mode
Show your work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit.
third side, AB= 14.318 Units and tanB = 0.461
How to find the value of tanB and third side?given:
BC=13 units
AC=6 units
solution:
using pythagoras theorem, we get
AB² = BC² + AC²
AB² = 13² + 6²
AB² = 169 + 36
AB² = 205
AB = 14.318 units
tanB = side opposite/side adjacent
tanB = AC/BC
tanB = 6/13
tanB = 0.461
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Using Pythagoras theorem, Third side, AB= 14.318 Units and tanB = 0.461
What is the Pythagoras theorem theory?The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in standard algebraic notation, a2 + b2, are equal to the squares on the legs.
How to find the value of tanB and third side?given:
BC=13 units
AC=6 units
solution:
using pythagoras theorem, we get
AB² = BC² + AC²
AB² = 13² + 6²
AB² = 169 + 36
AB² = 205
AB = 14.318 units
tanB = side opposite/side adjacent
tanB = AC/BC
tanB = 6/13
tanB = 0.461
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A researcher needs to assign 10 subjects, numbered 0 to
9, to one of two treatment groups: A and B. Use the table
of random digits, starting with the first row and first
column, to carry out the random assignment.
Table of Random Digits
1 07581 34728 65182 58648 53252 83952
2 23290 98227 30144 83191 12167 90414
3 79486 99776 71793 95330 58256 71156
4 46354 09077 98202 03946 07455 39303
5 00472 20787 54571 73719 04368 41032
Select the correct random assignment using the table.
A: 0, 7, 5, 8, 1
A: 0, 2, 4, 6, 8
B: 3, 4, 7, 2, 8
B: 1, 3, 5, 7, 9
B: 2, 9, 1, 7, 4
OA: 0, 3, 6, 5, 8
A: 0, 7, 5, 8, 1
B: 3, 4, 2, 6, 9
In response to the question, we may say that As a result, the right answer expression is OA: 0, 3, 6, 5, 8, corresponding to the participants assigned to therapy A.
what is expression ?An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.
To carry out the random assignment, we may utilise the following table of random digits:
Allocate the first ten topics to the table's rows, beginning with 0 and ending with 9.
Read the numerals from left to right, top to bottom, until 5 participants have been allocated to treatment A and 5 subjects have been assigned to treatment B.
We can get the following random assignment using this method:
A: 0, 3, 6, 5, 8 \sB: 1, 7, 4, 2, 9
As a result, the right answer is OA: 0, 3, 6, 5, 8, corresponding to the participants assigned to therapy A.
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Answer:
A: 0, 7, 5, 8, 1 B: 3, 4, 2, 6, 9
Step-by-step explanation:
THE ANSWER IS D
PLEASE HELP IM GOING TO FAIL
5. A student spends no more than two hours on his math and English homework. If math takes
about twice as long as English, what is the maximum time that the student can spend on
English?
O1/3
hour
O1/2 hour
O 1 hour
O 2/3 hour
(1 point)
Answer:
2/3 hour
Step-by-step explanation:
lets say English takes x hour to complete such that Math will take twice as long which is 2x hour. It takes 2 hours to complete both English and Math. So we can write the following equation:-
x+2x=2
or, 3x=2
or, x=2/3
Therefore, English takes 2/3 hour to complete (which is 40 minutes)
And Math takes 4/3 hour to complete (which is 80 minutes)
Roll one-8 sided die 10 times. The probability of getting exactly 3 sevens in those 10 rolls is given by .
The binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.
Given: Roll an 8-sided die 10 times and to find the probability of getting exactly 3 sevens in those 10 rolls.
Formula: The probability of getting exactly "k" successes in "n" trials of an event with a probability "p" of success in a single trial is given by the binomial probability formula:
P(k successes in n trials) = [tex]C(n , k) * p^k * (1 - p)^{(n - k)}[/tex]
where:
C (n , k) represents the number of combinations of "n" things taken "k" at a time, and p is the probability of success in a single trial.Step1
Calculate the probability of rolling a seven on an 8-sided die (p).
Since there is 1 "success" outcome (rolling a seven) out of 8 possible outcomes (8-sided die),
p = 1/8.
Step 2
Plug the values into the binomial probability formula for getting exactly 3 sevens in 10 rolls:
P(3 sevens in 10 rolls) = [tex]C(10, 3) * (1/8)^3 * (1 - 1/8)^{(10 - 3)}[/tex]
On subtracting gives:
=C(10, 3) * (1/8)^3 * (7/8)^{7}
Plugging the value of C(10,3) = 120 in the above equation:
= 120 * (1/8)^3 * (7/8)^{7}
Step 3:
Calculate the final answer using the formula:
P(3 sevens in 10 rolls) = 120 * (1/512) * (343/512)
≈ 0.0142
Therefore, the binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.
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Solve each equation. Round to the nearest ten-thousandth.
17(0.3x+5)
Answer:
first option
Step-by-step explanation:
using the property of logarithms
ln [tex]x^{n}[/tex] = nlnx ( ln is the natural logarithm )
given
[tex]17^{(0.3x+5)}[/tex] = 12
take the ln of both sides
ln [tex]17^{(0.3x+5)}[/tex] = ln 12 , then
(0.3x + 5) ln 17 = ln 12 ( divide both sides by ln 17 )
0.3x + 5 = [tex]\frac{ln12}{ln17}[/tex] ≈ 0.877063 ( subtract 5 from both sides )
0.3x ≈ - 4.12293 ( divide both sides by 0.3 )
x = [tex]\frac{-4.12293}{0.3}[/tex] ≈ - 13.7431 ( to the nearest ten thousandth )
A time-and-motion study measures the time required for an assembly-line worker to perform a repetitive task. The data show that the time required to bring a part from a bin to its position on an automobile chassis varies from car to car according to a Normal distribution with mean seconds and standard deviation seconds. The time required to attach the part to the chassis follows a Normal distribution with mean seconds and standard deviation seconds. The study finds that the times required for the two steps are independent. A part that takes a long time to position, for example, does not take more or less time to attach than other parts.
(a) Find the mean and standard deviation of the time required for the entire operation of positioning and attaching the part.
(b) Management’s goal is for the entire process to take less than seconds. Find the probability that this goal will be met. Show your work
The mean time of the entire operation is given by 31 seconds and standard deviation is approximately 4.47 seconds
mean time (μ₁) = 11 seconds
mean chassis time (μ₂) = 20 seconds
a)Total time taken = μ₁ + μ₂ = 11 +20 = 31 seconds
Now we will find the standard deviation:
standard deviation = √ (2²+4²) = √ 20 ≈ 4.47 seconds
b) The probability that the entire process will take less time:
Total time taken = 31 seconds
Less time taken will be 2 seconds for the entire time
P(T<30) = 30 - 31 / 4.47 = - 0.22
Now from the normal distribution table we get the p-value as :
p-value = 0.4129
Hence the required probability is 41.29 % .
The population or sample standard deviation and the standard error of a statistic are not the same thing, but they are related. The standard error of the sample mean is the standard deviation of the set of means computed by drawing an infinite number of repeated samples from the population and computing a mean for each sample.
The mean's standard error is estimated by dividing the sample standard deviation by the square root of the sample size, which matches the population standard deviation divided by the square root of the sample size.
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Which quantity is multiplied by pi in the formula for the area of a circle?
The quantity that is multiplied by pi in the formula for the area of a circle is the square of the radius
How to determine the multiplied quantity?From the question, we have the following parameters that can be used in our computation:
Area of a circle
The formula for the area of a circle is represented as
A = πr²
Express the formula as a product
So, we have the following representation
A = π * r²
In the above formula, we can see that the square of r is multiplied by pi
Hence, the required quantity is the square of the radius of the circle
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Solve. Write answers as an imaginary number. 3x^2=-12
80 POINTS
Answer:
Step-by-step explanation:
3x^2 = -12
divide both side by 3x^2 = -4
Solve the square root.x = ±√-4
this equation has no real solutions
Answer:
x = {- 2i; 2i}-------------------------------
GivenEquation 3x² = 12Solve as below3x² = - 12x² = - 4x = √-4x = ± 2√-1x = ± 2iThe linear regression equation for the data set is...
Answer: C
Step-by-step explanation: Because
The formula P=2L+2W represents the perimeter of a rectangle. In this formula, L is the length of the rectangle and w is the width. Solve the formula for W
Answer: P/2 - L = W
Step-by-step explanation:
P = 2L + 2W. We are isolating W. Subtract 2L from both sides to isolate the term first
P - 2L = 2W. Divide by 2 on both sides to isolate W.
P/2 - L = W
I need a little bit of help with this one
Step-by-step explanation:
boy come ladies yer wait for you
hvb-amor-jon
Can someone solve this please
Answer: B
Step-by-step explanation:
The two equations have the same slope, but different points. This means that the lines are parallel to one another and will not intersect.
The answer is B: No solution
Answer: No solution.
Step-by-step explanation: I graphed the two given functions below. It looks like there is no solution to the given functions.
Hope this helps! :)
to specify that x1 must be at most 75% of the blend of x1 , x2 , and x3 , we must have a constraint of the form
The linear constraint form of the variables is X1 =< 0.75(X1 + X2 + X3)
The term linear refers the algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Here we have given that x1 must be at most 75% of the blend of x1 , x2 , and x3 ,
Abd here we must have to find the linear constraint of the form of the variables.
While we looking into the given question we have identified the three are three variables are given they are x1, x2 and x3.
And we have also given that x1 must be greater than 75% when we convert this into decimal then we get the value 0.75.
Here the term of blend refers the sum of the terms,
Then the linear constraint form of the variables is written as,
=> X1 =< 0.75 (X1 + X2 + X3)
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Can I get some help with this?
The equations that represent given problem is
P + S = 384 and 2.50P + 1.25S = 696.25.
What is an equation?
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Given that the cost of 1 slice pizza is $2.50.
The cost of 1 bottle can of soda is $1.25.
In total sell for a day is 384.
Assume that you sell P slice of pizza and S number of soda bottle.
Thus your total sell is P + S.
Therefore, P + S = 384.
The cost 1 slice pizza is $2.50
Then the cost P slice of pizza is $2.50P.
The unit rate of soda bottle is $1.25.
Then the cost S bottles of soda is $1.25S.
Therefore the total sell for that day is 2.50P + 1.25S
2.50P + 1.25S = 696.25
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choose the answer that best describes the statement. probality can be used to determine the likelihood of specific .
The statements best describe probability as the relative likelihood that an event will occur. It is a number between 0 and 1 inclusive.
Probability
A mathematical tool used to examine unpredictability is probability. It discusses the likelihood that an event will occur. For instance, you might not get two heads and two tails if you flip a fair coin four times. But if you flip the same coin 4,000 times, you'll get results that are almost evenly split between heads and tails. The theoretically predicted chance of heads in any given toss is 12, or.5. There is a predictable pattern of results when there are numerous repetitions, even though the results of a few repetitions are unknown. One of the authors tossed a coin 2,000 times after reading about the English statistician Karl Pearson, who threw a coin 24,000 times and got 12,012 heads. The outcome was 996 heads. The expected chance of 5 is quite near to being reached by the fraction of 9962,000, which is equivalent to 498.
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A recipe for a sports drink calls for 5/8 cup of powder for every 2 quarts of water. If Dionne uses 3 quarts of water, how many cups of powder are needed?
Answer: i think 15/8 but, im not sure
Step-by-step explanation:
in the morning there were t people at the beach. later at noon, 2/7 of the people left the beach and there were 30 people left on the beach. find t
Answer:
42
Step-by-step explanation:
If 2/7 left that means that 5/7 are still there.
5/7x = 30 Multiple both sides by 7/5
x = [tex]\frac{30}{1}[/tex] x [tex]\frac{7}{5}[/tex]
x = 42
Check the binomial distribution to see whether it can be approximated by the normal distribution. Round p and q to 1 decimal place, as needed. n = 95 P = 0.96 9 -0.04 np - and ng Is a normal approximation appropriate ? Yes No
As per the binomial distribution, the value of the normal approximation is 0.6573
The term binomial distribution refers the discrete probability distribution that gives only two possible results in an experiment, either success or failure.
Here we have given that n = 95 P = 0.96 and q = 0.04
Now, here we have to check the binomial distribution to see whether it can be approximated by the normal distribution.
While we looking into the given question we know that the value of n = 95 P = 0.96.
Then as per the binomial distribution formula, the normal distribution is calculated as,
=> P(X=1) = 95C4 * (0.96)⁴ * (1-0.96)⁹⁵⁻⁴
When we simplify this one then we get the value as 0.6573
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Calculate two-thirds of three-quaters of one half
Answer:
0.25
Step-by-step explanation:
Step 1: Convert all fractions to decimals
Two-thirds = 0.6666
Three-quarters = 0.75
One-half = 0.5
Step 2: Multiply all fractions
0.6666 * 0.75 * 0.5 = 0.25
Step 3: The answer is 0.25
Answer:
[tex]\dfrac{1}{4}[/tex]
Step-by-step explanation:
Three-quarters of one half:
[tex]\implies \dfrac{3}{4} \times \dfrac{1}{2}=\dfrac{3 \times 1}{4 \times 2}=\dfrac{3}{8}[/tex]
Two-thirds of "Three-quarters of one half":
[tex]\implies \dfrac{2}{3} \times \dfrac{3}{8}=\dfrac{2 \times 3}{3 \times 8}=\dfrac{6}{24}=\dfrac{6 \div 6}{24 \div 6}=\dfrac{1}{4}[/tex]
Give expressions for the following:-
1) x is multiplied by -10 and then 5 is added to the result
2) 5 is multiplied by p and the result is subtracted from 26
3)y is multiplied by -5 and the result is added to 6
Answer:
1) -10x + 5
2) 5p - 26
3) -5y + 6
Status
Review
A certain state uses the following progressive
tax rate for calculating individual income tax:
Income
Range ($)
0 - 10,000
10,001 - 50,000
50,001 - 100,000
Progressive
Tax Rate
3%
5%
5.5%
Calculate the state income tax owed on a $50,000
per year salary.
tax = $[?]
Round your answer to the nearest whole dollar amount.
Enter
h
Answer:
final answer would be $6,550
Step-by-step explanation:
To calculate the state income tax owed on a $50,000 per year salary, we can use the progressive tax rate provided in the question. We can divide the salary into three ranges, corresponding to the three tax rates:
Income Range: $0 - $10,000
Progressive Tax Rate: 3%
Tax Owed: $0 - $10,000 * 3% = $0 - $300
Income Range: $10,001 - $50,000
Progressive Tax Rate: 5%
Tax Owed: $10,001 - $50,000 * 5% = $500 - $2,500
Income Range: $50,001 - $100,000
Progressive Tax Rate: 5.5%
Tax Owed: $50,001 - $100,000 * 5.5% = $2,750 - $5,500
Thus, the total state income tax owed on a $50,000 per year salary would be $300 + $2,500 + $2,750 = $6,550. This amount should be rounded to the nearest whole dollar amount, so the final answer would be $6,550.
in 2001, progressive insurance asked cus- tomers who had been involved in auto accidents how far they were from home when the accident happened. the data are summarized in the table.
We get the following answers;
(a) The necessary histogram has been created and is supplied below.
(b) According to the data, it is indeed dangerous to drive close to home. Because 23% and 29% of accidents occur within 1 to 5 miles of home, respectively.
Step 1: in 2001, progressive insurance asked customers who had been involved in auto accidents how far they were from home when the accident happened. the data are summarized in the table.
Step 2:
Table :
Miles from home % of accidents Cumulative
Less than 1 23 23
1 to 5 29 52
6 to 10 17 69
11 to 15 8 77
16 to 20 6 83
over 20 17 100
(a) the required histogram is made and attached below.
(b) Yes, the data indicates that driving near home is particularly dangerous. Because, less than , 1 to 5 miles from home 23%, 29% of accidents.
Hence we get the required answers.
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