The five-number summary calculator is a statistical method. It is used to find the third quartile, first quartile, median, minimum, and maximum value of the given data set.
A five-number summary calculator is a statistical test that includes five items. The items are Q₁ or first quartile, Q₃ or third quartile, the median, the maximum, and the minimum. This helps to give an idea about the data set. This also helps to calculate ascending order, descending order, and interquartile of the given data set.
In this method, we first input the list of numbers or data. Then, we arrange those numbers. From this, the minimum value and the maximum value will be found. Then, the median is calculated using the formula for odd and even numbers of terms. Then, the median of the lower half numbers gives the first quartile and the upper half number gives the third quartile.
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What is a limit that does not exist?
A limit that does not exist is a limit that approaches infinity or negative infinity. The formula is [tex]\lim_{x \to \ > 2}+ f_(x)[/tex].
If the graph has any gap at the x value c, then two sided limits at that point will not exist. If the graph has vertical asymptote and one side of the asymptote goes towards the infinity and other goes towards negative infinity, then the "limit does not exist".
A limit that does not exist is when function does'nt approach a specific value as it approaches a certain point. This is usually due to the fact that the function is discontinuous or that it oscillates between two or more values.
This type of limit is known as an "infinite limit" or an "oscillatory limit" since the function does not converge or diverge, but instead fluctuates or oscillates between values. In this case, the limit does not exist because the function does not approach a single value as it reaches the point in question.
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Using the special right triangle shortcuts, what is the length of the long leg of a 30-60-90 triangle with a hypotenuse of 14?
the length of the long leg (the side opposite the 60-degree angle) is x√3, which is:
(7/2)√3 ≈ 6.06
What is the hypotenuse?
In geometry, the hypotenuse is the longest side of a right-angled triangle, opposite to the right angle.
In a 30-60-90 triangle, the ratio of the side lengths is x : x√3 : 2x, where x is the length of the shorter leg, and 2x is the length of the hypotenuse.
Since the hypotenuse of this triangle is 14, we can set 2x = 14 and solve for x:
2x = 14
x = 7/2
Hence, the length of the long leg (the side opposite the 60-degree angle) is x√3, which is:
(7/2)√3 ≈ 6.06
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57 cars pass through an intersection in 3 hours. Select all the correct responses to complete the statement
Answer:
Step-by-step explanation:
i ate my dog than did the math
19 cars will pass the intersection in 1 hour.
What is division?Division is used to split a number into equal parts.
Given is that 57 cars pass through an intersection in 3 hours.
It is given that 57 cars pass through an intersection in 3 hours.
So, we can write that in 1 hour, the number of cars that will pass are -
{x} = 57/3
{x} = 19
Therefore, 19 cars will pass the intersection in 1 hour.
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Suppose a population of honey bees in Ephraim, UT has an initial population of 3600 and 12 years later the population reaches 25000. Use an explicit exponential model to find the rate of growth and common ratio for the honey bee population.
Express the rate of growth as a percentage. Round to the nearest tenth.
r=______%
Express the common ratio as a decimal. Round to the nearest thousandth.
1+r =_______
1) The rate of growth for the honey bee population is approximately 10.1%, rounded to the nearest tenth.
2) The common ratio is approximately 1.101, rounded to the nearest thousandth.
We can use the formula for an explicit exponential model:
N = N0 × (1 + r)^t
where N0 is the initial population, r is the rate of growth (expressed as a decimal), t is the time elapsed (in years), and N is the final population.
We can use the given information to write two equations:
N0 = 3600
N = 25000
t = 12
Substituting these values into the formula, we get:
25000 = 3600 × (1 + r)^12
Solving for (1 + r), we get:
(1 + r)^12 = 25000/3600
(1 + r) = (25000/3600)^(1/12)
(1 + r) ≈ 1.101
r ≈ (1.101 - 1) × 100% ≈ 10.1%
Therefore, the rate of growth for the honey bee population is approximately 10.1%, rounded to the nearest tenth.
2) The common ratio is 1 + r, so
1 + r ≈ 1.101
Rounding to the nearest thousandth, we get:
1 + r ≈ 1.101
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Please help!The monthly profit for a small company is represented by 250x³ - 42x² + 112x, where x is the
number of beds sold. Classify the polynomial by the number of terms. Then identify the degree.
The polynomial 250x³ - 42x² + 112x is a trinomial of degree 3.
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
The given polynomial is 250x³ - 42x² + 112x.
To classify this polynomial by the number of terms, we count the number of terms it has, which is three. Therefore, we can classify it as a "trinomial".
To identify the degree of this polynomial, we look at the highest power of x in the polynomial. In this case, the highest power of x is 3, which is the coefficient of the x³ term. Therefore, the degree of this polynomial is 3.
So, the polynomial 250x³ - 42x² + 112x is a trinomial of degree 3.
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I need alottttt of hellp
The expressions that have 3 as the greatest common factor are b + 3 + 6c, 27n + 66p, and 36 - 9j + 6k.
Thus,
b + 3 + 6c - Yes
-30 - 24z - No
27n + 66p - Yes
36 - 9j + 6k - Yes
Determining the greatest common factorFrom the question, we are to determine if 3 is the greatest common factor of the given expressions
b + 3 + 6c
3(b + 1 + 2c)
The greatest common factor is 3
-30 - 24z
6(-5 -4z)
The greatest common factor is not 3. The greatest common factor is 6
27n + 66p
3(9n + 22p)
The greatest common factor is 3
36 - 9j + 6k
3(12 - 3j + 2k)
Thus, The greatest common factor is 3
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What is the missing numerator?
If the hypotenuse of a right triangle is 35 cm and the radius of the inscribed circle is 4 cm, find the area of the triangle.
Answer: Let the legs of the right triangle be a and b. We know that the radius of the inscribed circle is 4 cm, which means that the inradius is also 4 cm. The inradius is given by:
r = (a + b - c)/2
where c is the hypotenuse, so we can substitute the given values to get:
4 = (a + b - 35)/2
Multiplying both sides by 2, we get:
8 = a + b - 35
Adding 35 to both sides, we get:
a + b = 43
We also know that the area of the triangle is given by:
A = (ab)/2
where a and b are the legs of the triangle. We can use the Pythagorean theorem to relate the legs to the hypotenuse:
a^2 + b^2 = c^2
Substituting the given value for the hypotenuse, we get:
a^2 + b^2 = 35^2
Simplifying, we get:
a^2 + b^2 = 1225
Now we can use the equation for the sum of the legs to solve for one of the legs in terms of the other:
a + b = 43
b = 43 - a
Substituting this expression for b into the equation for the area, we get:
A = (a(43 - a))/2
Simplifying, we get:
A = (43a - a^2)/2
To find the maximum value of the area, we can take the derivative of A with respect to a and set it equal to 0:
dA/da = 43/2 - a = 0
Solving for a, we get:
a = 43/2
Substituting this value into the equation for the area, we get:
A = (43/2)(43/2 - 43/2)/2 = 0
This means that the area of the triangle is 0 when one of the legs has a length of 0, which is not possible. Therefore, the maximum area occurs when the legs have equal lengths, which means that the right triangle is an isosceles right triangle. In this case, we have:
a = b = (35/sqrt(2)) cm
Substituting these values into the equation for the area, we get:
A = (ab)/2 = ((35/sqrt(2))^2)/2 = 612.5 cm^2
Therefore, the area of the right triangle is 612.5 square centimeters.
Step-by-step explanation:
A transformation is applied to a figure to create a newfigure. Which transformation does not preserve congruence?O A reflection across the x-axisO A translation 7 units downO A dilation by a scale factor of 5O A rotation of 90° clockwise
A transformation is applied to a figure to create a new figure, the transformation does not preserve congruence is option C, A dilation by a scale factor of 5.
An isometry is a transformation that retains congruence. In other words, a transformation in which the side lengths and angle measurements of the Image and Pre-Image are the same. Isometries include translations, reflections, and rotations. A translation is a "direct isometry" since it not only maintains congruence but also, unlike reflections and rotations, maintains orientation.
A dilation, on the other hand, is not an isometry since its Image is not consistent with its Pre-Image.
A transformation composition indicates that two or more transformations will be executed on the same item. On the same point, for example, we may do a reflection and then a translation.
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Solve for x. Round to the nearest tenth of a degree, if necessary.
2.1
D
4
to
E
Answer:
[tex]31.7^\circ[/tex]
Step-by-step explanation:
We use the property that the sin of the angle of a right triangle is the ratio of the side opposite that angle divided by the hypotenus
Therefore
[tex]\begin{aligned}\sin x & = \dfrac{2.1}{4}\\& = 0.525\\\end{aligned}\\\begin{aligned}x &= sin^{-1}(0.525)\\& = 31.7^\circ \end{aligned}[/tex]
A town is designing a rectangular park that will be 600 feet by 1000 feet. A rectangular area of the park for swing sets will be 25 feet by 100 feet. On a scale drawing of the park the swing set area is 0. 5 inch by 2 inches. What is the dimensions of the park on the scale drawing?
The dimensions of the park on the scale drawing are 2 inches by 0.5 inches
The dimensions of the park on the scale drawing can be determined by using the scale factor between the actual dimensions and the scale drawing dimensions. The scale factor can be found by dividing the actual dimensions by the scale drawing dimensions.
Scale factor for length = Actual length / Scale drawing length = 1000 feet / 2 inches = 500 feet per inch
Scale factor for width = Actual width / Scale drawing width = 600 feet / 0.5 inches = 1200 feet per inch
Now, we can use the scale factor to determine the dimensions of the park on the scale drawing.
Length of park on scale drawing = Actual length / Scale factor for length = 1000 feet / 500 feet per inch = 2 inches
Width of park on scale drawing = Actual width / Scale factor for width = 600 feet / 1200 feet per inch = 0.5 inches
Therefore, on the scale drawing, the park measures 2 inches by 0.5 inches.
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A car company uses the function g(x) = 25,400(0.88)* to predict the value of a car x years from now. What will be the approximate value of
the car 6 years from now?
$7,113
A.
B. $11, 796
C $18,288
D. $22,352
Answer:
The answer might be B. $11, 796 i'm not sure
What is the binary conversion of 2?
The binary conversion of 2 is 10.
In binary, there are only two possible digits, 0 and 1. Each digit in a binary number represents a power of 2, with the rightmost digit representing 2^0 (which is 1), the second digit representing 2^1 (which is 2), the third digit representing 2^2 (which is 4), and so on.
So in the binary number 10, the rightmost digit represents 2^0, which is 1, and the second digit represents 2^1, which is 2. Adding these two powers of 2 together gives a total value of 2 in binary.
To convert a decimal number to binary, you can divide the number by 2 and record the remainder at each step until the quotient is 0. Then, the binary number is simply the remainders read in reverse order. In this case, 2 divided by 2 is 1 with a remainder of 0, so the first digit of the binary number is 0. 1 divided by 2 is 0 with a remainder of 1, so the second digit of the binary number is 1. Therefore, the binary conversion of 2 is 10.
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how to convert 147 lbs to kg?
The measure of the value after converting 147 pounds to kilograms is equal to ( 66.6792 ) kilograms.
Pounds and Kilograms are units to measure the weight of a given body.Relation of 1 kilograms = 2.20462 pounds.
⇒ 2.20462 pounds = One kilograms
⇒ 1 pounds = ( 1 / 2.20462 ) kilograms
⇒1 pounds = ( 0.4536 ) kilograms
Substitute the value 147 pounds we get,
⇒ 147 pounds = ( 147 × 0.4536 ) kilograms
⇒ 147 pounds = ( 66.6792 ) kilograms
Therefore, after converting the value 147 pounds to kilogram is equal to ( 67.1328 ) kilograms .
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A hemispherical bowl of radius R is placed in a uniform magnetic field that has magnitude B0 and is in the positive z direction. The open top of the bowl is in the xy plane.
Part A
Obtain an expression for the magnetic flux through the hemispherical surface of the bowl.
Express your answer in terms of some or all of the variables B0, R, and the constant ?.
The expression for the magnetic flux through the hemispherical surface of the bowl is EπR².
Hemisphere:
The word hemisphere can be divided into hemisphere and sphere. Hemisphere means half, and sphere means three-dimensional shape in mathematics. Thus, a hemisphere is a three-dimensional geometric shape that is a hemisphere that is flat on one side and a round bowl on the other. It is formed when a sphere is cut exactly down the center along its diameter, leaving two identical hemispheres.
The volume of a hemisphere is the number of unit cubes that can fit inside it. The units of volume are cubic units, such as m³, cm³, ft³ and so on.
The volume of a hemisphere = 2/3πr³
where
r is the radius of the hemisphere.
According to the Question:
Flux passing through the curved surface is equal to the flux passing through the flat surface.
Since flux through the flat surface
ϕ flat = E× Area
= E× πR²
The electric flux through a closed surface is 1/E₀ times the total charge unclosed.
By Gauss's law, flux ,
Since number of field lines entering from circular side is equal to number of field lines leaving the hemispherical surface, net flux is 0.
Therefore,
(Flux)h + (flux)c = 0 -------------------------(1)
[* (flux)h means flux from hemispherical surface and (flux)c means flux from circular surface]
Therefore,
(flux)h = - (flux)c ---------------------------- (2)
Flux = E.A [ Where E and A are vectors ]
Flux = E A cos θ
(Flux)c = EA cos π [ Because field and surface area vector are anti parallel]
(flux)c = E πR² (-1) ------------------------------ (3)
From equation (2) and (3)
(flux)h = - (- EπR²)
⇒ (Flux)h = EπR²
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What is the equation of the line that passes through the point (−4, 8)
and has a slope of zero?
Answer:
y=8
Step-by-step explanation:
Slope-intercept form
y=mx+b
Plug in values
y=0x+b
8=0(-4)+b
b=8
substitute
y=8
What are like terms examples?
Step-by-step explanation:
Examples of like terms in math are x, 4x, -2x, and 7x. These are like terms because they all contain the same variable, x. The terms 8y2, y2, and -2y2 are like terms as well. These all contain the same variable, y, raised to the second power.
what is inverse tangent derivative?
Answer:
(tan-1x)' = 1/(1 + x2)
Step-by-step explanation:
The differentiation of tan inverse x is the process of finding the derivative of tan inverse x with respect to x.
what is the answer and am in middle school
I believe the answer is: 83 square inches.
"How so?"
First step:
11 x 5 + 7 x 4 = ?
Now, multiply.
11 x 5 = 55
Multiply once again.
7 x 4 = 28
Now add.
55 + 28 = 83.
I apologize if this is incorrect. I hope you have a lovely day! :)
Answer:
What is the area of this figure?
83 square inchesStep-by-step explanation:
You're welcome.
(8.8 x 109) + (2.2 × 10³)
Answer: 3159.2
Step-by-step explanation:
8.8 times 109= 959.2
2.2 times 10 cubed= 2200
2200+959.2= 3159.2
Answer:
3159.2
Step-by-step explanation:
You have to do it step by step. You have to do the first parentheses, then the next, then add it together. Here's how you would do it:
[tex](8.8 * 109)+(2.2 * 10^{3}[/tex]You have to figure out the end result of the square root, then figure out the parentheses.
[tex]959.2 + 2200[/tex]This is the end result of all the parentheses. All you have to do now is add the two numbers to get the end number.
[tex]3159.2[/tex]This is the final result of the equation.
A doctor finds that patients inhales once every 3 seconds. The same patient's heart beats 82 times per minute while at rest. How many times does this patient inhale in a 24-hour day?
Using arithmetic operations it is obtained that the patient inhales approximately 29,520 times in a 24-hour day.
What is arithmetic operation?
A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
We can start by converting the patient's breathing rate from seconds to minutes, since we have the heart rate in minutes.
Use the arithmetic operation of multiplication and division -
The patient inhales once every 3 seconds, which is equivalent to -
(1 inhale / 3 seconds) x (60 seconds / 1 minute) = 20 inhales per minute
Next, we can use the patient's heart rate to find the number of breaths per heartbeat, and then multiply by the heart rate to get the total number of breaths per minute -
Breaths per heartbeat = 1 inhale / 4 heartbeats (since each heartbeat corresponds to 4 phases of the cardiac cycle, during which the patient inhales and exhales once)
Breaths per minute = (Breaths per heartbeat) x (Heart rate)
= (1/4) x 82
= 20.5
So the patient takes approximately 20.5 breaths per minute.
Multiplying this by the number of minutes in a day (24 hours x 60 minutes per hour = 1440 minutes) gives -
Breaths per day = (Breaths per minute) x (Minutes per day)
= 20.5 x 1440
= 29,520
Therefore, the number of inhales is 29,520.
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10 Points ..........................................................................................
If the points lie on a straight line passing through the origin, it would support Enid's claim that the distance she jogs and the number of calories she burns are in a proportional relationship.
What is proportion ?
Proportion refers to the relationship or comparison between two or more quantities or values. It is typically expressed as a ratio or fraction that compares the part to the whole or the amount of one thing to the amount of another thing.
The two correct methods that Enid can use to test her claim are:
She could calculate the ratio change in calories burned to change in miles jogged for two data points and compare the results to the same ratio with two other data points.
This method involves calculating the ratio of the change in calories burned to the change in distance jogged for two pairs of data points, and then comparing the results to see if they are the same. If they are the same, it would support Enid's claim that the distance she jogs and the number of calories she burns are in a proportional relationship.
She could plot the data on a coordinate plane and see if a straight line starting at (0, 0) passes through all the data points.
This method involves graphing the data points on a coordinate plane and checking if they form a straight line that passes through the origin (0, 0).
Therefore, If the points lie on a straight line passing through the origin, it would support Enid's claim that the distance she jogs and the number of calories she burns are in a proportional relationship.
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what is big number calculator?
A big number calculator is a software application or program designed to perform arithmetic operations on large numbers that cannot be easily handled by standard computer hardware and software.
Big numbers are typically defined as numbers that are too large to be stored in the registers or memory of a typical computer processor.
In a big number calculator, arithmetic operations such as addition, subtraction, multiplication, and division are performed using algorithms that are specifically designed to handle large numbers. These algorithms may use techniques such as long division, long multiplication, and other mathematical strategies to perform the required computations.
Big number calculators are often used in scientific and engineering applications where very large numbers are encountered. They can also be useful in cryptography, where large prime numbers are used for encryption and decryption operations.
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For each set of given information complete the missing information in the table
The missing information in the table is $290,000 for Firm 1 and $18,562,433 for Firm 2
The premium of a bond can be calculated by taking the coupon rate and subtracting the yield, and then multiplying the result by the face value of the bond.
For Firm 1, the premium is given by (7.00% - 8.00%) × $300,000 = -$10,000.
The proceeds of Firm 1 can then be calculated by
=> $300,000 – $10,000 = $290,000.
For Firm 2, the yield and coupon rate that is as interest are both given as 3.00%. This means that the bond will be sold at par value, so the face value and proceeds of the bond will be the same.
The face value of Firm 2 can be calculated by taking the proceeds given and dividing by the bond’s yield.
Thus, Firm 2’s face value is given by $556,853 / 3.00% = $18,562,433.
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Complete Question:
Complete the missing information in the table below. Assume that all bonds pay interest semiannually.
Do not use negative signs with answers.
Round percentages to one decimal place (ex. 0.0345 = 3.5%).
Round all other values to the nearest whole number.
Annual Years to Coupon Issue
Yield Maturity Rate Face value Proceeds
Firm 1 8.00% 15 7.00% $300,000 $_______
Firm 2 3.00% 10 0.00% $_______ $556,853
PLEASE HELP ME WITH THIS QUESTION
A square fits exactly inside a circle with each of its vertices
being on the circumference of the circle.
The square has sides of length x cm.
The area of the circle is 56^2cm.
Work out the value of x.
Give your answer in 3 significant figures.
The value of x to 3 significant figures is approximately 18.9 cm.
What is area of circle ?Area of circle can be defined as the product of pi and square of radius of circle.
The area of a circle is given by the formula[tex]A = πr^2[/tex], where r is the radius of the circle.
Since the area of the circle is 56^2 cm, we can set up the equation:
[tex]πr^2 = 56^2[/tex]
Solving for r, we get:
[tex]r = √(56^2/π) ≈ 13.37 cm[/tex]
Since the square fits exactly inside the circle, its diagonal is equal to the diameter of the circle, which is 2r. Therefore:
x√2 = 2r
Substituting the value of r, we get:
[tex]x√2 = 2(√(56^2/π))[/tex]
x√2 ≈ 26.74
Dividing both sides by √2, we get:
x ≈ 18.94
Therefore, the value of x to 3 significant figures is approximately 18.9 cm.
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there is one line on the graph and its asking what is in the solution set?
Answer: you
Step-by-step explanation:
The radius of a circle is 6 inches. What is the area of a sector bounded by a central angle measuring 120°
Knowing that a circle has a radius of 6 inches, the area of a sector with a central angle of 120º is 12π square inches.
The area of a sector can be found using the formula:
Area of sector = (Central angle/360°) × π × r²
Where "central angle" is the angle of the sector in degrees and "r" is the radius of the circle.
In this case, the central angle is 120° and the radius is 6 inches. Plugging these values into the formula, we get:
Area of sector = (120°/360°) × π × 6²
Area of sector = (1/3) × π × 36
Area of sector = 12π square inches
Therefore, the area of the sector bounded by a central angle measuring 120° in a circle with a radius of 6 inches is 12π square inches.
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How do you expand and simplify a binomial?
In order to expand and simplify an expression, we need to multiply out the brackets and then simplify the resulting expression by collecting the like terms. Expanding brackets is the process by which we remove brackets. It is the reverse process of factorization.
To expand and simplify a binomial, use the distributive property. The distributive property states that for any two binomials, the product of each term in the first binomial and each term in the second binomial should be added together to get the expanded form of the expression.
For example, the binomial (2x + 3)(4x + 7) can be expanded using the distributive property by multiplying each term of the first binomial with each term in the second binomial. This gives us:
(2x × 4x) + (2x × 7) + (3 × 4x) + (3 × 7)
And simplifying this expression yields 8x² + 14x + 21.
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y = 40x + 50 graph it
What is the conversion of 375 f to c ?
The value after conversion Fahrenheit to Celsius is equal to 375 Fahrenheit to 190.556 Celsius.
The unit which represents the measurement of the temperature in Standard form is given by Fahrenheit and Celsius.
Relation between Fahrenheit and Celsius is represented by the formula as written below
(°F − 32) × 5/9 = °C
Here Substitute the value 375 Fahrenheit in the above formula to get into Celsius ,
= ( 375°F − 32) × 5/9
= 343 × 5/9
= 1715 / 9
= 190.55555 Celsius
= 190.556 Celsius
Therefore, the converted value of 375 Fahrenheit into the Celsius is given by 190.556 Celsius .
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