1 millisecond is equal to 0 point 001 or 1/1000 of a second. Using the formula seconds = (milliseconds/1000), you can convert milliseconds to seconds.
As per the Time Relationships:
One minute equals 60 seconds.
One hour has 60 minutes.
One Day = 24 hours.
One week is comprised of 7 days.
Twelve months equal one year.
One year is made up of fifty-two weeks.
A year has 365 days (or 366 in leap years) in total.
Ten years equal one decade.
One century is equal to 100 years.
One millennium equals 1000 years.
In Conversion principle:
Multiply from big to little.
Separate, from small to large.
This implies that you must multiply if you change a larger unit to a smaller one. However, you must divide if you take a smaller unit and make it into a larger one.
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How to calculate 19 divided by 20 using long division?
By using the long division method, the result of 19 divided by 20 is 0.95
Long division is a method of dividing two numbers using a step-by-step process of repeatedly dividing the dividend (the number being divided) by the divisor (the number you are dividing by), writing down the results of each step, and subtracting the remainder from the next dividend.
Here, 19 divided by 20
The picture shows the division process
To divide 19 by 20 using long division, you start by dividing 20 into the first digit of 19, which is 1. The result is 0 with a remainder of 1.
Then bring down the next digit, which is 9, and place it next to the remainder to make 19. You then divide 20 into 19, which gives you 0 with a remainder of 19.
Therefore, 19 divided by 20 is 0.95
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Figure 1 and figure 2 are right triangles.
two right triangles labeled figure 1 and figure 2, where the legs of figure 1 are 3 units long and the legs of figure 2 are 7 units long
What scale factor was used to produce Figure 2 from Figure 1?
7 over 3
3 over 7
7
3
The scale factor produced in Figure 2 from Figure 1 is 3 over 7.
What is a scale factor?The scale factor defines a variable in a ratio of two different measurements.
Sometimes drawings of large models are represented in a scale factor of a smaller unit.
A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.
Given, Two right triangles Δ₁ and Δ₂, where the legs of Δ₂ is 7 units long and the legs of Δ₁ is 3 units long.
Therefore, The scale factor produces in Figure 2 from Figure 1 is Δ₂/Δ₁,
= 3/7.
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seven of the twelve basic functions have the property that f(0) = 0. which five do not?
The constant function, reciprocal function, exponential function, natural log function, and cos function have the property of f(0) ≠ 0.
There are 12 basic functions
Constant function f(x) = CIdentity function f(x) = xReciprocal function f(x) = 1/xSquare function f(x) = x²Cubic function f(x) = x³Square root function f(x) = √xOdd function f(x) = -f(-x)Even function f(x) = f(-x)Exponential function f(x) = eˣNatural log function f(x) = lnxCosine function f(x) = cosxSine function f(x) = sinxNow here we are asked those 5 basic functions where f(0) ≠ 0
Here if we see serial wise
the constant function will always be a constant irrespective of the value of x. Now f(0) here, will not be provided the constant is not 0.
Then we have the reciprocal function where f(0) = 1/0 which is undefined.
The next function is the exponential function
here f(0) will be e⁰ = 1
Then there is the natural log function where ln0 is undefined.
Last we have the cos function where f(0) = cos0 = 1
Hence, the constant function, reciprocal function, exponential function, natural log function, and cos function have the property of f(0) ≠ 0.
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1. find the square roots of (a) 2i; (b) 1−√3i and express them in rectangular coordinates.
a) The square root of complex number, 2i is equals to the ±( 1 + i).
b) The square root of complex number, (1 - √3i) is equals to the ±1/√2(√3 - 1). The rectangular coordinates plane of both present in above figure.
Square root of a number is defined as a value which on multiplication by itself, results the original number. If p is the square root of q then it is denoted as p=√q. We have to determine the square root of complex numbers and express them in rectangular coordinates. For a nonzero complex number z, its square roots are √z =√r exp( i(2πk + θ)/2), k = 0,1
(a) The magnitude of 2i is r =√(2² + 0) = 2, and the principal argument is θ = π/2. So, (2i)½ = r½ exp(i (2πk + π/2)/2) , k = 0, 1
For first root, substuting, k = 0
=> (2i)½ = 2½ exp(i (2π×0 + π/2)/2)
=> (2i)½ = √2 exp(i (π/2)/2)
=> (2i)½ = √2 exp(i π/4) = √2(cos(π/4) + i sin(π/4)
=> (2i)½ = √2( 1/√2 + i(1 /√2)) = 1 + i
For second root substuting, k = 1
=> (2i)½ = 2½ exp(i (2π×1 + π/2)/2)
=> (2i)½ = √2 exp(i (5π/2)/2)
=> (2i)½ = √2 exp(i (5π/4) = √2( cos(5π/4) + i sin(5π/4)
=> (2i)½ = √2(- 1/√2 + i(-1 /√2)) = - (1 + i)
Hence, square root of 2i is ±( 1 + i).
b) 1 -√3i
The magnitude and principal argument of 1 −√3i are respectively, r = √(1² + (√3)²) = 2 and θ = tan⁻¹ ( -√3/1) = - π/3. Similar to part(a), square root of (1 - √3i) is written as (1 - √3i)½ = r½ exp(i (2πk - π/3)/2), k= 0, 1
For first root , k = 0
(1 - √3i)½ = √2 exp(i (2π×0 - π/3)/2)
=> (1 - √3i)½ = √2 exp(i (- π/6) )
=> (1 - √3i)½ = √2( cos(-π/6) - i sin(π/6))
=> (1 - √3i)½ = √2( cos(π/6) - i sin(π/6))
=> (1 - √3i)½ = √2( √3/2 - i (1/2)) = 1/√2(√3 - 1)
For second root, k = 1
(1 - √3i)½ = √2 exp(i (2π×1 - π/3)/2)
=> (1 - √3i)½ = √2 exp(i (5π/3)/2)
=> (1 - √3i)½ = √2 exp(i (5π/6))
=> (1 - √3i)½ = √2 (cos(5π/6) + i sin(5π/6))
=> (1 - √3i)½ = √2 (- √3/2 + i(1/2) ) = - 1/√2(√3 - i)
so, (√1- √3i ) is ± 1/√2(√3 - 1). Hence, we got all required square roots.
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Complete question:
1. Find the square roots of (a) 2i; (b) 1 - √3i and express them in rectangular coordinates.
Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. y = 2/7 x^2, y = 9/7 - x^2 Find the volume V of this solid. V = Sketch the region, the solid, and a typical disk or washer. (Do this on paper. Your instructor may ask you to turn in this work.)
Take into consideration the solid that results from rotating the area enclosed by the provided curves about the x-axis. y = 2/7 x^2, y = 9/7 - x^2 . the volume of the solid is approximately 1.412 cubic units.
To find the volume of the solid obtained by rotating the region bounded by the curves y = 2/7 [tex]x^{2}[/tex] and y = 9/7 - [tex]x^{2}[/tex] about the x-axis, we can use the method of disks or washers.
First, we need to find the limits of integration. The curves intersect when:
2/7[tex]x^{2}[/tex] = 9/7 - [tex]x^{2}[/tex]
Multiplying both sides by 7, we get:
2[tex]x^{2}[/tex] = 9 - 7[tex]x^{2}[/tex]
9[tex]x^{2}[/tex] = 9
[tex]x^{2}[/tex] = 1
x = ±1
Therefore, the limits of integration are x = -1 and x = 1.
Next, we need to express the curves in terms of y. Solving for x in each equation, we get:
x = ±√(7/2 y)
x = ±√(9/7 - y)
Using the method of disks, we can find the volume of the solid by integrating the areas of circular disks with radius y from y = 0 to y = 9/7.
The radius of each disk is given by the difference between the upper and lower curves evaluated at y:
r = √(9/7 - y) - √(7/2 y)
The area of each disk is given by:
A = π[tex]r^{2}[/tex]
Substituting for r, we get:
A = π [√(9/7 - y) - √(7/2 y)]
Expanding and simplifying, we get:
A = π [9/7 - y + 7/2 y - 2√(9/7 y)]
A = π [9/7 + 3/2 y - 2√(9/7 y)]
Integrating with respect to y, we get:
V = ∫[0, 9/7] π [9/7 + 3/2 y - 2√(9/7 y)] dy
V = π [(9/7) y + (3/4) - (4/9) [tex]9/7^{3/2}[/tex] [tex]y^{3/2}[/tex]] [0, 9/7]
V = π [81/28 - (64/81) [tex]9/7^{3/2}[/tex]]
V ≈ 1.412
Therefore, the volume of the solid is approximately 1.412 cubic units.
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A number z divided by 2 is at least -6.
Answer:
z ÷ 2 = ≥ -6
Step-by-step explanation:
The expression to represent this problem is:
z ÷ 2 = ≥ -6
The following system of equations is designed to determine concentrations (the c's in g/m³) in a series of coupled reactors as a function of the amount of mass input to each rector (right hand sides in g/day): 10c2c₂cy -3c-6c₂+2c3=-61.5 C₂+503
Solve this problem with the Jacobi's iterative method to 5%.
The solution for the system of equations is Ax = b as the matrix is invertible (or non-singular) if and only if its determinant is not zero.
To solve a system of equations, we can use matrix algebra. We can write the system of equations in matrix form as follows:
Ax = b
where A is the matrix of coefficients, x is the vector of unknowns (the concentrations), and b is the vector of right-hand sides (the mass inputs).
To solve for x, we can multiply both sides by the inverse of A:
x = [tex]A^{-1}b[/tex]
where [tex]A^{-1}[/tex] is the inverse of A.
However, not all matrices have inverses. A matrix is invertible (or non-singular) if and only if its determinant is not zero. So, before we can solve for x, we need to check if A is invertible by calculating its determinant.
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it is assumed that approximately 15% of adults in the u.s. are left-handed. consider the probability that among 100 adults selected in the u.s., there are at least 30 who are left-handed. given that the adults surveyed were selected without replacement, can the probability be found by using the binomial probability formula with x counting the number who are left-handed? why or why not?
Yes, since this 100 adults demonstrate just under 5% of the adult American population, the trials are considered independent.
We have n=100 and p=0.15 here.
np=100*0.15=15 ≥ 10,
nq=100*(1-0.15))=85 ≥ 10
The normality assumption can be used to approximate the binomial distribution.
Option A) is the correct answer.
The probability of seeing a specific value of such a continuous probability distribution is 0 percent.
Determine the prerequisites since a distinct distribution of probabilities.
The probability sum must equal one. So every probability should be between 0 and 1.
Describe how to determine the median of a separate random variable. To calculate the men of such a stochastic process, divide the total each value by it's own probability and afterwards add the results.
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I need help on a few questions
Answer:
Q1: [tex]y\leq -x^2+5x-4[/tex]
Q2: [-3/2,1/4]
Q3: [-4,3]
Step-by-step explanation:
What is 20:00 in military time?
Answer:
20:00 is 8:00 pm
Step-by-step explanation:
an easy way to remember is subtract 2 from the military timing and the number in the ones value is the time.
Ex.
14:00
14 - 2= 12
So it’s 2: 00 pm
20- 2= 18
So it’s 8:00 pm
The radius of a right circular cone is multiplied by a factor of . Assuming the height stays the same, by what factor does the volume of the right circular cone change?
The volume of a right circular cone is given by the formula V = (1/3)*pi*r²*h, where r is the radius, h is the height, and pi is the constant 3.14. When the radius is multiplied by a factor of x, the volume will be multiplied by a factor of x².
Therefore, when the radius is multiplied by a factor of x. The volume changes by x².
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How to convert 116 lbs to kg?
The required converting value into kilograms of the given 116 pounds is equal to 52.62 kilograms ( round up to two decimals ) .
Converting factor used to convert pounds to kilograms is equal to:
1 pound = 0.453592 kilograms
Now to get the value of 116 pounds we have,
116 pounds = 116 × converting factor
Substitute the value of converting factor we have,
⇒ 116 pounds = 116 × 0.453592 kilograms
⇒ 116 pounds = 52.6167 kilograms
⇒ 116 pounds = 52.62 kilograms ( round up to two decimals )
Therefore, the converted values of the required 116 pounds is equal to 52.62 kilograms ( round up to two decimals ) .
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what is 1000 hours in days?
1000 hours in day can be converted in to by a formula dividing the the 1000 hours by 24 is 41.66 days.
Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.
As 1 Hour is equal to 0.0416666666667 Days, you must multiply 1000 by 0.041666666666667 to convert hours to days. The outcome is as follows:
1000 hr × 0.041666666666667 = 41.667 d
1000 hr = 41.667 d
We come to the conclusion that one thousand thousand hours is equal to 41.7667 days:
41.667 days are equivalent to 1000 hours.
Hence, using the conversion method above, you can figure out how many days there are in 1000 hours.
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Please solve as soon a possible, 3 ways. I'm giving all my points. Will mark yours #1
What is an ordered pair that satisfies all the equations in a system called?
Answer:
It is called a solution.
16. What is the greatest weight of a baby walrus in ounces (hint 100-160 Ib) pls help me
Based on the information provided, the greatest weight of a baby walrus in ounces is 2560 ounces.
How much does a baby walrus weigh?According to the information provided, the weight of a baby walrus is between 100 and 160 pounds, which means 160 is the maximum weight for these animals.
Now, let's convert the pounds to ounces to know the maximum weight in ounces. For this, let´s consider that 1 pound = 16 ounces.
160 x 16 = 2560 ounces
Based on this, it can be concluded that the maximum weight is 2560 ounces.
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all real solutions for 8x^3-27x^2-50x+75x=0
To find all real solutions of the equation 8x²3 - 27x²2 - 50x + 75 = 0, we can factor it by grouping
How to do that?
8x²3 - 27x²2 - 50x + 75 = 0
=> (8x²3 - 50x) - (27x²2 - 75) = 0
=> 2x(4x²2 - 25) - 3(9x²2 - 25) = 0
=> (2x - 3)(4x²2 - 9x + 15) = 0
Using the quadratic formula to solve the quadratic factor, we get:
4x²2 - 9x + 15 = 0
=> x = [9 ± sqrt(81 - 4(4)(15))] / (2(4))
=> x = [9 ± sqrt(-191)] / 8
Since the discriminant of the quadratic factor is negative, it has no real roots, and therefore, the only real solution of the equation is:
x = (2x - 3) = 0
=> x = 3/2
Therefore, the only real solution of the equation 8x²3 - 27x²2 - 50x + 75 = 0 is x = 3/2.
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Big Money Bank has an offer for new customers: if you deposit $5,000 in a savings account, you will earn 6. 5% simple interest over the first 10 years
If you deposit $5,000 in a savings account and will earn 6. 5% simple interest over the first 10 years, then will earn $3,250 in interest over the 10-year period
Simple interest is a type of interest that is calculated only on the principal amount of an investment, and not on any interest that has been earned previously. It is typically expressed as a percentage of the principal amount and is applied over a fixed period of time.
To calculate the interest earned on the account over the 10-year period, we can use the formula for simple interest:
Interest = Principal x Rate x Time
Here, the principal is $5,000, the interest rate is 6.5%, and the time is 10 years.
Plugging in the values, we get:
Interest = $5,000 x 0.065 x 10
Interest = $3,250
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The given question is incomplete, the complete question is:
Big Money Bank has an offer for new customers: if you deposit $5,000 in a savings account, you will earn 6.5% simple interest over the first 10 years. How much interest will the account earn over this period?
Find distance and round decimal to the nearest tenth. Please help me
Answer:
Below
Step-by-step explanation:
For the x distance -2 to 5 is 7 units
for the y distance 2 to 8 = 6 units
Pythagorean Theorem
7^2 + 6^2 = d^2
49 + 36 = d^2
d^2 = 85 d = [tex]\sqrt{85}[/tex] =~ 9.2 units
what is the square root of 40 in simplest radical form
Answer:
[tex]2\sqrt{10}[/tex]
Step-by-step explanation:
we can take 4 out of 40 and when you take it out it gets turned into a 2 so its 2 sqrt 10
What is the conversion of 60 pounds to dollars?
60 pounds when converted to dollars is 81.97 US dollars.
Countries like the United Kingdom, the South Sandwich Islands, the British Overseas Territories of South Georgia, and the British Antarctic Territory all use pounds as their official currency. Penny sterling, which is one-tenth of a pound, is the name for the lesser units that make up the pound.
The conversion rate of pounds to dollars can vary depending on the current exchange rate. However, as of February 20, 2023, the conversion of 60 pounds to dollars would be:
1 pound = 1.37 US dollars
Hence,
60 pounds = 60*1.37 dollars
= 81.97 dollars
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Please check my answers and give explanation of why it is wrong if it is wrong 20 points!
The solution is, the correct option is, A.) tan 37 = x/12.
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
here, we have,
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
now, from the given figure we get,
tan 37 = x/12
Hence, The solution is, the correct option is, A.) tan 37 = x/12.
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what is maximum and minimum calculator online
Minimum and Maximum Calculator is an online widget that helps you find the max and min values of a function.
The maximum value is the point at which the function has the highest value of all other values, while the minimum value is the lowest value in the entire function.
The calculator returns the global maximum and minimum of the function along with a graph on the Cartesian plane as the solution. A min-max calculator is an online calculator that can be used to find the maximum and minimum values of a mathematical function.
Finding the extreme values of a function is also known as optimization. Feature optimization is a central concept in engineering, business, and machine learning.
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Divide. (44b2−22b)÷(11b) Enter your answer
Answer:
4b
Step-by-step explanation:
To solve this division problem, you need to divide 44b2−22b by 11b. To do this, you can use the long division method. Begin by dividing the first term of the dividend (44b2) by the divisor (11b). The quotient will be 4b and the remainder will be 0. Then, subtract the remainder from the next term of the dividend (22b). This will give you a difference of 22b. Divide this by the divisor (11b), and you will get a quotient of 2b and a remainder of 0. Since the remainder is 0, the final answer is 4b.
Paul has some cookies. 25 % of them are chocolate chip cookies. If Paul has 6 chocolate cookies , how many cookies does he have altogether?
If 25% of Paul's cookies are chocolate chip, then 75% of his cookies are not chocolate chip. Let's call the total number of cookies Paul has "x".
So, 25% of x is equal to 6:
0.25x = 6
To solve for x, we can divide both sides by 0.25:
x = 24
So Paul has 24 cookies altogether.
which fration is greater than 3\4
Answer: There are infinitely many fractions that are greater than 3/4. Any fraction whose numerator is greater than three and whose denominator is greater than four will be greater than 3/4. Here are a few examples:
4/5 is greater than 3/4
5/6 is greater than 3/4
6/8 (which simplifies to 3/4) is not greater than 3/4, but any fraction greater than 6/8 will be greater than 3/4. For example, 7/8, 8/9, 9/10, and so on.
In general, to determine whether a fraction is greater than 3/4, you can compare its numerator and denominator. If the numerator is greater than the denominator times 3/4 (which is the same as multiplying the denominator by 3/4 and comparing it to the numerator), then the fraction is greater than 3/4.
Step-by-step explanation:
HELP ME WITH MY MATH ASAP
The sequence with a first term of 10 and a common difference of 4 is the one in the first option.
f(1) = 10
f(n) = f(n - 1) + 4
Which sequence has a first term equal to 10 and a common difference of 4?
For a general arithmetic sequence we define the first term and recursive formula as:
f(1) = a (this is the first term)
f(n) = f(n - 1) + d (d is the common difference)
So, a first term of 10 and a common difference of 4 would be written as:
f(1) = 10
f(n) = f(n - 1) + 4
Then the correct option is the first one.
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i need help with math i don't understand this
Answer:A
Step-by-step explanation:
they are alternate exterior angles so, x+y=180
NEED HELP DUR TOWMORROW!!!!!!!!!!!!!!!!
In the diagram, the sector’s central angle measures Θ degrees and the circle’s radius is r units. Use the diagram below to tell Mai how to find the area of a sector and the length of an arc for any angle and radius measure.
A = ( θ/360)πr² is used to find area of sector and L = ( θ/360)2πr used to find length of the arc.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
To find the area of a sector:
Find the fraction of the circle represented by the sector by dividing the central angle θ by 360 degrees.
Multiply this fraction by the total area of the circle, which is given by πr².
The result is the area of the sector, which can be expressed as A = ( θ/360)πr².
To find the length of an arc:
Find the fraction of the circle represented by the arc by dividing the central angle θ by 360 degrees.
Multiply this fraction by the circumference of the circle, which is given by 2πr.
The result is the length of the arc, which can be expressed as L = ( θ/360)2πr.
Hence, A = ( θ/360)πr² is used to find area of sector and L = ( θ/360)2πr used to find length of the arc.
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if the cross-price elasticity of demand for two goods is 1.25, then:________
If the cross-price elasticity of demand for two goods is 1.25, then the two goods are substitutes.
Cross Price Elasticity of Demand:
The cross elasticity of demand is an economic concept that measures the response of the quantity demanded of one good to changes in the price of another good. Also known as the cross-price elasticity of demand, this measure is calculated by dividing the percentage change in quantity demanded for one good by the percentage change in price of another commodity.
[tex]E_X_Y[/tex] = [tex]\frac{Percentage change in Quantity of X }{Percentage Change in Quantity of Y}[/tex]
[tex]E_X_Y[/tex] = ΔQ/Q ÷ ΔP/P
= ΔQ/Q × P/ΔP
= ΔQ/ΔP × P/Q
where:
Q = Quantity of good X
P = Price of good Y
Δ = Change
The cross elasticity of demand for a substitute is always positive because an increase in the price of a substitute increases the demand for one good. For example, when the price of coffee rises, the demand for tea (alternative beverage) increases as consumers switch to cheaper but alternative beverages. This is reflected in the formula for the cross-elasticity of demand, as the numerator (the percentage change in demand for tea) and the denominator (the price of coffee) represent positive increases.
Items with a coefficient of 0 are unrelated and independent products. Commodities can be weak substitutes for which both products are positive but have a low cross-elasticity of demand. This is often the case with various alternative products such as tea or coffee. Commodities that are strong substitutes have a higher cross-elasticity of demand. Consider a different brand of tea. An increase in the price of green tea from one company has a greater impact on the demand for green tea from the other company.
The cross elasticity of demand is 1.25. Positive cross elasticity means that when the price of one good changes, the quantity demanded of another good changes in the same direction. For example, when the price of one good increases, the demand for another good increases.
This indicates that the two products are fungible. When the price of a product rises, consumers will prefer the cheaper product. As a result, the demand for alternatives will increase.
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