The ratio of 7 out of 8 people who preferred cooking to washing dishes in percentage is equal to 87.5% .
Number of people preferred cooking to washing dishes = 7
Total of number of people surveyed = 8
To convert a ratio to a percentage,
= (Number of people who preferred cooking / (the total number of people) multiply by 100.
The total number of people surveyed is equal to 8
So, the percentage of people who preferred cooking is equal to,
= (7 ÷ 8) x 100
= 87.5%
Therefore, ratio as a percent of people surveyed preferred cooking to washing dishes is 87.5% .
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TRUE/FALSE. if new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants.
If new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants is false.
What is statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given,
We need to check whether if new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants is true or false.
The given statement is false because Primary data collection is a process of collecting original data, directly from the source.
Hence, if new data will be collected (i.e., primary data collection), the researcher can easily recruit an adequate number of participants is false.
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determine the intervals on which the graph of =()y=f(x) is concave up or concave down, and find the points of inflection.
the graph of f(x) = x^3 - 3x^2 - 9x + 5 is concave down on the interval (-∞, 1), concave up on the interval (1, +∞), and has a point of inflection at x = 1.
To determine the intervals on which the graph of a function is concave up or concave down, we need to analyze the second derivative of the function. The concavity of a function can change at points where the second derivative changes sign.
Here's the step-by-step process to find the intervals of concavity and points of inflection:
Find the first derivative of the function, f'(x).
Find the second derivative of the function, f''(x).
Set f''(x) equal to zero and solve for x. The solutions give you the potential points of inflection.
Determine the intervals between the points found in step 3 and evaluate the sign of f''(x) in each interval. If f''(x) > 0, the graph is concave up; if f''(x) < 0, the graph is concave down.
Check the concavity at the points of inflection found in step 3 by evaluating the sign of f''(x) on either side of each point.
Let's go through an example to illustrate this process:
Example: Consider the function f(x) = x^3 - 3x^2 - 9x + 5.
Find the first derivative, f'(x):
f'(x) = 3x^2 - 6x - 9.
Find the second derivative, f''(x):
f''(x) = 6x - 6.
Set f''(x) equal to zero and solve for x:
6x - 6 = 0.
Solving for x, we get x = 1.
Therefore, the potential point of inflection is x = 1.
Determine the intervals and signs of f''(x):
Choose test points in each interval and evaluate f''(x).
Interval 1: (-∞, 1)
Choose x = 0 (test point):
f''(0) = 6(0) - 6 = -6.
Since f''(0) < 0, the graph is concave down in this interval.
Interval 2: (1, +∞)
Choose x = 2 (test point):
f''(2) = 6(2) - 6 = 6.
Since f''(2) > 0, the graph is concave up in this interval.
Check the concavity at the point of inflection:
Evaluate f''(x) on either side of x = 1.
Choose x = 0 (left side of x = 1):
f''(0) = -6.
Since f''(0) < 0, the graph is concave down on the left side of x = 1.
Choose x = 2 (right side of x = 1):
f''(2) = 6.
Since f''(2) > 0, the graph is concave up on the right side of x = 1.
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8) You are planning to use a sample proportion p to estimate a population proportion, p. A sample size of 100 and a confidence level of 95% yielded a margin of error of 0.025. Which of the following will result in a larger margin of error? A: Increasing the sample size while keeping the same confidence level B: Decreasing the sample size while keeping the same confidence level C: Increasing the confidence level while keeping the same sample size D: Decreasing the confidence level while keeping the same sample size A) A and D B) A and C Q) B and D D) B and C turns out to be (1000,S100. If this interval was based on a 9) Suppose a 98% confidence interval for 9 sample of size n -22, explain what assumptions are necessary for this interval to be valid A) The population must have an approximately normal distribution. B) The sampling distribution of the sample mean must have a normal distribution C) The population of salaries must have an approximate t distribution. D) The sampling distribution must be biased with 21 degrees of freedom
To have a valid 98% confidence interval based on a sample of size n, it is necessary to assume that the population has an approximately normal distribution (option A).
The margin of error in a confidence interval is influenced by the sample size and the confidence level. The margin of error is inversely proportional to the square root of the sample size. This means that increasing the sample size (option A) will result in a smaller margin of error, as the square root of a larger number is larger than that of a smaller number.
On the other hand, the margin of error is directly proportional to the critical value, which is determined by the confidence level. The higher the confidence level, the larger the critical value and consequently, the larger the margin of error. Thus, decreasing the confidence level (option D) will result in a larger margin of error.
Therefore, the options that will result in a larger margin of error are B and D: decreasing the sample size while keeping the same confidence level, and decreasing the confidence level while keeping the same sample size.
It's important to note that the validity of a confidence interval relies on certain assumptions. In this case, to have a valid 98% confidence interval based on a sample of size n, it is necessary to assume that the population has an approximately normal distribution (option A). This assumption is required for the central limit theorem to hold, which allows the sampling distribution of the sample mean to approximate a normal distribution. Options B, C, and D do not accurately describe the assumptions necessary for the validity of the confidence interval.
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39.5% complete Question An attacker is preparing to perform what type of attack when the target vulnerabilities include headers and payloads of specific application protocols
An attacker is preparing to perform a protocol-based attack when the target vulnerabilities include headers and payloads of specific application protocols.
A protocol-based attack, also known as a protocol attack, focuses on exploiting vulnerabilities within the headers and payloads of specific application protocols. Application protocols, such as HTTP, FTP, SMTP, or DNS, have their own set of rules and structures for communication. Attackers analyze these protocols and manipulate the headers and payloads to exploit weaknesses and gain unauthorized access or control over a system or network. By understanding the intricacies of the targeted protocols, attackers can craft malicious requests or inject malicious code to exploit vulnerabilities and compromise the targeted system's security. It is crucial for organizations to implement robust security measures and regularly update their systems to protect against protocol-based attacks.
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Hi guys please find out the angles
Answer:
a=110 degrees
b=70 degrees
c= 50 degrees
d=130 degrees
Step-by-step explanation:
To find a know that 180 degrees is a straight line, and subtract 70 from 180 to get 110 degrees. To find b, know that the angles between parallel lines add up to 180, and if you know a is 110 you know b is 70. Then, find out c by knowing that all three angles of a triangle add up to 180, and you have 60 given and you found out b is 70, so you know c is 60 plus 70 which is 130 and 180-130 is 50 degrees. Lastly, to find d you need use the same strategy you used to find b( know that the angles between parallel lines add up to 180) and you get 130 degrees.
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6x+2y = -8
Answer:
f rxddx6fxyfxtxd5dx5xdc5rcf5cf55fccf5ctfctd5dx5dxx5rx5tex5erx7gx
ygyvuhUhws
Step-by-step explanation:
6x + 2y = -8
-6x -6x
2y = -6x - 8
y = (-6/2)x - 8/2
y = -3x -4
evaluate b(x)=18-0.5x when x= -2,0, and 5.
Answer:
19, 18, 15.5
Step-by-step explanation:
b(-2) =
18 - 0.5(-2)
18 - (-1)
b(x) = 19
b(0) =
18 - 0.5(0)
18 - 0 =
b(x) = 18
b(5) =
18 - 0.5(5)
18 - 2.5
b(x) = 15.5
If a=6 b=24 what is ab
Answer:
144
Step-by-step explanation:
Since a is 6 and b is 24 we would have to multiply both of those numbers which would give you 144.
Hope this helps and good luck!!
When a = 6 and b = 24, the value of the equation ab will be 144.
What is Algebra?Algebra is the study of mathematical symbols, while logic is the manipulation of those signifiers.
Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction is referred to as the PEMDAS rule. To answer the problem properly and accurately, this rule should be followed.
The expression is given below.
⇒ ab
If the values of "a" and "b" are 6 and 24, respectively. The expression's value is then provided as,
⇒ a × b
⇒ 6 × 24
⇒ 144
When a = 6 and b = 24, the value of the equation ab will be 144.
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Annie earns $4200 per month, of which 20% is taken out for federal and state income taxes and other required deductions. Last month she spent $925 for rent and $212.13 for clothing. What percent of her take home pay did she spend on rent and clothing?
Answer:
Step-by-step explanation:
The Low-Income Housing Tax Credit provides a tax incentive to construct or rehabilitate affordable rental housing for low-income households.
in how many ways may a student mark a 20 questions test, if 7 questions mark correctly and 13 incorrectly?
The 20 questions test answers may a student mark 8192 ways.
What is the combinations?
A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.
Since there are 20 questions, and each question can be answered in if 7 questions mark correctly and 13 incorrectly then:
7 questions can be answered correctly.
13 questions can be answered incorrectly.
The 2 questions can be answered in
2 × 2 ways.
The 3 questions can be answered in 2×2×2 ways and so on.
So we have:
1 × 1 × 1 × 1 × 1 × 1 × 1 × 2¹³
= 8192
Hence, the 20 questions test answers may a student mark 8192 ways.
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A Set of Speakers costs $35 and Songs cost $195 each. The sales tax
rate is 8.25%. The expression 0.0825(35+ 195s) can be used to determine
the amount of sales tax due on the entire purchase of a set of Speakers
and S.Songs. Expand the expression and round to the nearest hundredth.
The amount of sales tax due on the entire purchase of a set of speakers and s songs is given by expression 2.8875+16s
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that :
Cost of speaker = $35
Cost per song = $195
Sales tax rate = 8.25%
Expression to obtain the amount of sales tax on entire purchase : 0.0825(35+ 195s)
Using distributive law to expand the expression :
0.0825(35+ 195s)
= 2.8875+16s
Hence, the amount of sales tax due on the entire purchase of a set of speakers and s songs is given by expression 2.8875+16s
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an unbiased coin is tossed until a head appears and then tossed until a tail appears. if the tosses are independent, what is the probability that a total of exactly n tosses will be required?
The Probability that a total of exactly n tosses will be required is (1/2)^(n-1)
To find the probability that a total of exactly n tosses will be required, we need to consider the different sequences of tosses that would result in exactly n tosses.
For a total of exactly n tosses, there are two possibilities: the head appears on the (n-1)th toss and the tail appears on the nth toss, or the head appears on the nth toss.
Let's calculate the probabilities for each case:
The head appears on the (n-1)th toss and the tail appears on the nth toss:
The probability of getting a head on any toss is 1/2, and the probability of getting a tail on any toss is 1/2.
Therefore, the probability of this case is (1/2)^(n-1) * (1/2) = 1/2^n.
The head appears on the nth toss:
The probability of getting a head on the nth toss is (1/2)^n.
To find the overall probability for a total of exactly n tosses, we sum the probabilities of the two cases:
P(n) = (1/2)^(n-1) * (1/2) + (1/2)^n
= (1/2)^n + (1/2)^n
= 2 * (1/2)^n
= (1/2)^(n-1)
Therefore, the probability that a total of exactly n tosses will be required is (1/2)^(n-1)
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The probability that a total of exactly n tosses will be required is (1/2)^n, and the total probability of the event is 1/2.
Let's consider the case where a total of exactly n tosses are required. This means that the first n-1 tosses must all result in tails, and the nth toss must be a head, followed by a sequence of one or more tails. The probability of this sequence of tosses occurring is:
P(n) = (1/2)^(n-1) * (1/2) * (1/2)^(n-1) = (1/2)^n
So the probability of requiring exactly n tosses is (1/2)^n.
Now we need to sum this probability over all possible values of n to get the total probability of the event. We can express this as an infinite series:
P = Σ (1/2)^n, n=2 to infinity
To evaluate this series, we can use the formula for the sum of an infinite geometric series:
S = a/(1-r)
where a is the first term and r is the common ratio. In this case, a = (1/2)^2 = 1/4 and r = 1/2, so we have:
P = Σ (1/2)^n, n=2 to infinity = 1/4/(1-1/2) = 1/2
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Any answers ??? I can’t do it
The missing value that completes the frequency table is 100
What is a Frequency Table?A frequency table is just a two-column "t-chart" or table that lists all of the potential outcomes and their corresponding frequencies as seen in a sample.
How to solve:
From the graph given,
The battery life(hours) from x = 15 to x= 20 has a frequency of 130
The battery life(hours) from x= 28 to x= 30 has a frequency of 100
It can be inferred that from the battery life of the different models, the missing value is 100 and when you crosscheck the data, you would find this is correct and accurate.
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y = 3x + 1, -x + 2y = -3
Answer:
X= -1 y= -2
Step-by-step explanation:
y= 3x+1
y-1 =3x
X= y-1/3...(1)
-x+2y= -3
-(x-2y)= -3
x-2y=3
(y-1/3)-2y =3 (from eq (1))
y-1-6y =3×3
-5y= 10
y= -2
X= y-1/3
= -2-1/3
x = -1
does anything in the plot of the semimajor axis versus the period change when the eccentricity is changed?
Yes, the connection between the semimajor axis and an orbit's period varies as the eccentricity of the orbit changes.
What is eccentricity?In geometry, the eccentric definition is the distance from any point on a conic section to the focus divided by the perpendicular distance from that point to the nearest directrix. In general, eccentricity aids in determining the curvature of a form. The eccentricity grows as the curvature lowers.
Here,
In general, an orbit's period is proportional to the square root of the semimajor axis multiplied by three. This connection, however, is only valid for circular orbits with zero eccentricity. When the eccentricity is larger than zero, the period of the orbit is still determined by the magnitude of the semimajor axis, but it is also determined by the form of the orbit as given by the eccentricity. The relationship between the semimajor axis and the period in this situation is not as straightforward as a proportionate relationship.
As a result, modifying an orbit's eccentricity modifies the connection between the semimajor axis and the period.
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which of the following graphs represents y=x-2
Answer:
graph 2
Step-by-step explanation:
What’s the answer????
Answer: (4,9)
Step-by-step explanation:
A freezer is at -14°C and then it is unplugged. It gets warmer by 3°C an hour. It is checked once an hour and when it gets above 0 °C, it is plugged back in. After it is plugged in again, it gets colder by 4°C per hour.
Copy and complete the table to show the sequence of temperatures for the first 8 hours after it was unplugged.
What is the temperature of the freezer (in °C) 8 hours after it was unplugged?
After 8 hours, the freezer is at a temperature of 8°C.The temperature sequence for the first 8 hours after the freezer was unplugged is as follows:
Time (hours) Temperature (°C)
0 -14
1 -11
2 -8
3 -5
4 -2
5 1
6 0
7 4
8 8
Temperature is a physical quantity that expresses the degree of hotness or coldness of an object or a living being.
The direction in which heat energy will spontaneously flow from a hotter body (one at a higher temperature) to a colder body (one at a lower temperature) is indicated by temperature, and it is expressed in terms of any of several arbitrary scales
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How are quadratic equations used to model and solve problems?
Answer:
Step-by-step explanation:
Encontrar los valores de a, b, y c.
Encontrar el valor x del vértice con la fórmula del vértice.
Hallar el valor de y sustituyendo el valor de x.
Escribir las coordenadas de "x" y "y"
if two people were to go to the movies and share the cost of what they paid. how much would they both pay? $2 for snacks $13 for the tickets. p.s. it could be a decimal of fraction ig
Answer: $7.50
Step-by-step explanation: they spent 15 n if they split that it’s 7.50
how many permutations of {1, 2, 3, 4, 5,6,7} leave exactly 1 element fixed?
A derangement of a set is a permutation in which no element appears in original position.The total number of permutations of {1, 2, 3, 4, 5, 6, 7} that leave exactly one element fixed is 6 × 1854 = 11,124.
Let D(n) be the number of derangements of a set with n elements. The formula for derangements is:
D(n) = n!(1/0! - 1/1! + 1/2! - 1/3! + ... + \((-1)^n\)/n!)
Using this formula with n = 7, we get:
D(7) = 7!(1/0! - 1/1! + 1/2! - 1/3! + 1/4! - 1/5! + 1/6!)
= 7(720)(1 - 1 + 1/2 - 1/6 + 1/24 - 1/120 + 1/720)
= 1854
This means that there are 1854 derangements of the set {1, 2, 3, 4, 5, 6, 7}. Each derangement corresponds to a permutation that leaves exactly one element fixed, and each permutation that leaves exactly one element fixed corresponds to a derangement by simply swapping the fixed element with its original position.
For example, if the permutation leaves 1 fixed, we can swap 1 with any other element to get a derangement. So there are 6 derangements that correspond to permutations that leave 1 fixed. Similarly, there are 6 derangements that correspond to permutations that leave 2 fixed, and so on. Therefore, the total number of permutations of {1, 2, 3, 4, 5, 6, 7} that leave exactly one element fixed is 6 × 1854 = 11,124.
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An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a right triangle with legs of 60 feet, 120 feet, and approximately 103.92 feet. The vertices of the triangle are points on the circle. The hypotenuse of the triangle is the diameter of the circle. The center of the circle is a point on the hypotenuse (longest side) of the
The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.
The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.
Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.
To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.
In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.
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if v=5 x=38 and y=-7 find w
Answer:
incomplete question friend
there are 5,280 feet in a mile. round answers to the nearest unit. a. how many miles does a car traveling at 65 mi/h go in one hour?
The distance covered by the car in 1 hour is 65 miles.
Explain the term unit change?A unit is a quantity with a fixed magnitude that is used to gauge the sizes of other quantities that behave similarly.By definition, unit conversion refers to the division or multiplication operation used to convert measurements with same quantity between various units. The act of converting something from one form to another in mathematics, such as from inches to millimeters or from liters to gallons, is known as conversion.For the stated question-
Car travels with the speed = 65 mi/h.
Total time is 1 hour.
the, by the relation of-
Speed = distance x time
Distance = speed / time
Distance = 65 mi/h / 1 hour
Distance = 65 mi
Thus, the distance covered by the car in 1 hour is 65 miles.
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If you poured 15 teaspoons of salt into an empty graduated cylinder, about how many milliliters would it fill?
Answer:
About 75
Step-by-step explanation:
Answer:
1 cubic millimeter = (about) 0.000202884 us spoons
Then you can use multiplication to solve it.
Step-by-step explanation:
hi, im new can I get marked as brainlieser? Im not forcing you but it would be highly appreciated.
Hope my answer helps :)
a sector of a circle is created from a central angle with a measure of 60 . if the diameter of the circle is 6 inches, what is the area of the sector?
The area of the sector created by a central angle of 60° in a circle with a diameter of 6 inches is approximately 4.7124 square inches.
To find the area of a sector of a circle, we need to know the central angle and the radius of the circle. In this case, we are given the central angle of 60° and the diameter of the circle, which we can use to find the radius.
The diameter is given as 6 inches, so the radius is half of that, which is 3 inches.
To calculate the area of the sector, we can use the formula:
Area of Sector = (θ/360°) * π * r²
where θ is the central angle in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius.
Plugging in the values:
Area of Sector = (60°/360°) * π * (3)²
Area of Sector = (1/6) * 3.14159 * 9
Area of Sector ≈ 4.7124 square inches
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find a if given c and θ
Answer:
a = c * SinФ
Step-by-step explanation:
SinФ = opp / hyp
c = hyp
a = opp
SinФ = a / c
therefore
a = c * SinФ
Find the area of the semicircle? Helpppp
Answer:
14.135
Step-by-step explanation:
6 divided by 2 (half) = 3, π·32≈28.27433 dived by 2 (half) equals 14.135
Answer:
14.13 units ^2
Step-by-step explanation:
A= 3.14 (3)^2 (area of a circle)
A= 28.26 / 2 (divide to find half of the circle)
A=14.13 units ^2
Find the x - and y -intercepts of the graph of the function f(x)=−2|x+5|+2 . Enter your answers as points, (a,b). Enter the x -intercepts in order of increasing x -value. If there are no x -intercepts, enter NA in both answer areas.
The given function is
f(x) = - 2|x+5| + 2
The x intercept is the value of x when f(x) = 0
Substituting f(x) = 0 into the function, we have
0 = - 2|x+5| + 2
Subtract 2 from both sides
0 - 2 = - 2|x+5| + 2 - 2
- 2 = - 2|x+5|
Divide both sides by - 2. It becomes
- 2/- 2 = - 2|x+5|/- 2
1 = |x+5|
x + 5 = 1 or x + 5 = - 1
x = 1 - 5 or x = - 1 - 5
x = - 4 or x = - 6
x intercepts are x = - 6, x = - 4
Writing the x intercepts as points, they are
(- 6, 0) and (- 4, 0)
The y intercept is the value of f(x) when x = 0
substituting x = 0 into the function, we have
f(0) = - 2|0+5| + 2
f(0) = - 2|5| + 2 = - 2(5) + 2 = - 10 + 2
f(0) = - 8
y intercept = (0, - 8)
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+228x+71
Answer:
883.3
Step-by-step explanation:
thats all.
An equation is formed of two equal expressions. The maximum height reached by a rocket, to the nearest tenth of a foot is 883.3 feet.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
To find the maximum height through which the rocket will reach, we need to differentiate the given function, therefore, we can write,
y=-16x²+228x+71
dy/dx = -16(2x)+228
Substitute the value of dy/dx as 0, to get the value of x,
0 = -32x + 228
228 = 32x
x =7.125
Substitute the value of x in the equation to get the maximum height,
y=-16x²+228x+71
y=-16(7.125²)+228(7.125)+71
y=883.3feet
Hence, the maximum height reached by the rocket, to the nearest tenth of a foot is 883.3 feet.
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