The requreid,
(a) Approximate values of the given numbers are π ≈ 3.1, √6 ≈ 2.4, 2√6 ≈ 4.8, and √7 ≈ 2.6.
(b) √6 < √7 < π < 2√6
(a)
π ≈ 3.1 (since π is between 3 and 4, and is closer to 3.1 than to 3.2)
√6 ≈ 2.4 (since 6 is between 4 and 9, and the square root of 6 is closer to 2.4 than to 2.5)
2√6 ≈ 4.8 (since 2√6 is approximately twice the value of √6, which is 2.4)
√7 ≈ 2.6 (since 7 is between 4 and 9, and the square root of 7 is closer to 2.6 than to 2.7)
(b)
Order from least to greatest:
√6 < √7 < π < 2√6
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what’s the answer for x
The measure of angle x is 57 degrees.
How to find the value of x?Remember that the sum of the measures of two adjacent angles is always equal to 180°.
Here we can see that the angle x° and 123° are adjacent, then we can write the linear equation:
x + 123° = 180°
Solving the equation for x, we will get.
x = 180° - 123°
x = 57°
That is the value of x.
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A monument outside city hall has dimensions as shown in the figure below. If one gallon of paint can cover 140 ft ^2, how many gallons of paint must be bought in order to paint the monument? Assume that the base of the monument cannot be painted and that paint can be bought only by the gallon.
The monument has a surface area of 432 square feet to be painted. Dividing this area by the coverage of one gallon of paint, we get a requirement of 4 gallons of paint to paint the monument.
As per the given figure, the monument has a rectangular shape with dimensions of length 12 feet, width 6 feet and height 18 feet.
The area of the monument that needs to be painted can be calculated by subtracting the area of the base that is not to be painted from the total surface area of the monument.
The area of the base that is not to be painted is 12 feet x 6 feet = 72 square feet.
The total surface area of the monument that needs to be painted is:
2 (length x height) + 2 (width x height) - area of base
= [tex]2 (12 ft x 18 ft) + 2 (6 ft x 18 ft) - 72 ft^2[/tex]
= [tex]432 ft^2[/tex]
Now, we can divide the total surface area of the monument by the area that can be covered by one gallon of paint:
[tex]432 ft^2 / 140 ft^2/gallon = 3.0857 gallons[/tex]
Since we can buy paint only by the gallon, we must round up to the nearest gallon. Therefore, we need to buy 4 gallons of paint to paint the monument.
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Find the value of x.
The value of x for the right triangle is derived to be x = 10 using the trigonometric ratio of cosine for angle 60°
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
cos 60° = 5/x {adjacent/hypotenuse}
x = 5/cos 60° {cross multiplication}
x = 5/(1/2) {recall cos 60° = 1/2}
x = 5 × 2/1
x = 10.
Therefore, the value of x for the right triangle is derived to be x = 10 using the trigonometric ratio of cosine for angle 60°
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Name: ahonna
Daily Word Problem
Cameron uses 17.2 gallons of water each time he takes a
shower. He showers one time per day.
34.5 gallons
How many gallons of water
will he use in 2 weeks?
E-102
How many quarts of water will
he use in 2 weeks? Remember 1
gallon equals 4 quarts.
Which of the following statements with respect to political risk is true?
Oa. Political risk premiums are added to the required rate of return to adjust for political risks.
b. Companies cannot take any steps to reduce the potential from loss from expropriation since a foreign
government is involved.
Oc. The risk of expropriation of U.S. assets abroad is high even in traditionally friendly and stable countries.
Od. A company can reduce political risk by structuring operations so that the subsidiary has value only as a part of the
integrated corporate system.
Which of these statements is true for the Cartesian coordinate system?
A.
the values below the X-axis are negative values of x
B.
the values below the X-axis are negative values of y
C.
the values above the X-axis are negative values of x
D.
the values above the X-axis are negative values of y
E.
the values on the X-axis are positive values of x
The correct statement is,
⇒ The values below the X-axis are negative values of y
We have to given that;
To find true statement for the Cartesian coordinate system.
Now, We know that;
the values below the X-axis are negative values of y
And, the values above the X-axis are positive values of y.
Thus, The correct statement is,
⇒ The values below the X-axis are negative values of y
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What are the characteristics of section lines?
If the object’s main edges itself are at _________ then you can use lines drawn at 30 or 60 degree. The spacing should be uniform __________ ranging from depending on the size of the drawing.
First onee
A. 90 degrees
B. 40 degrees
C. 180 degrees
Second onee
A. 1.5mm to 6mm
B. 2.5mm to 3mm
C. 0.5 mm to 1.5mm
The perimeter of parallelogram ABCD is cm. AD is cm more than twice AB. Find the lengths of all four sides of ABCD.
So the lengths of all four sides of ABCD are:
AB = BC = 15 cm
CD = DA = 31 cm
Let AB = x. Then AD = 2x + 1, since AD is 1 cm more than twice AB.
Since ABCD is a parallelogram, opposite sides are equal in length. So, BC = AB = x, and DC = AD = 2x + 1.
The perimeter of the parallelogram is the sum of the lengths of all four sides:
AB + BC + CD + DA = x + x + (2x + 1) + (2x + 1) = 6x + 2
We are given that the perimeter is 92 cm, so we can set this expression equal to 92 and solve for x:
6x + 2 = 92
6x = 90
x = 15
Therefore, AB = BC = 15 cm and AD = DC = 2(15) + 1 = 31 cm.
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Complete question:
The perimeter of parallelogram ABCD is 92 cm. AD is 1 cm more than twice AB. Find the lengths of all four sides of ABCD
The slope is:
So, m = /
Now that we have both the y-intercept and slope, we can write the equation of the line
y=mx+b
8
y =
Check
C
An equation of the line in slope-intercept form is y = 1/2(x) - 2.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.Based on the information provided about the graph of this line, it can be modeled by this linear equation:
y = mx + c
y = 1/2(x) + (-2)
y = 1/2(x) - 2
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I’m so confused I can’t figure out which answer would be correct
The value of S₁₀ in the given geometric series is 699050.
Given that,
The formula to find the sum of a geometric series is,
Sₙ = (a - a rⁿ) / (1 - r)
Here a is the first term and r is the common ratio.
Given is a geometric series,
2 + 8 + 32 + 128 + ....
a = 2
r = 8/2 = 4
We have to find the sum of these terms up to 10 terms.
S₁₀ = (2 - 2 . 4¹⁰) / (1 - 4)
= (2 - 2097152) / -3
= -2097150 / -3
= 699050
Hence the required value is 699050.
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I have no clue what I'm doing here and could really use the help I need the question explained to the best of your ability whoever answers correctly receives brainly!
Answer:
If you plug in -2 for x in each equation, y=1
Step-by-step explanation:
1)
y = -2x-3
y = -2(-2)-3
y = 4-3
y = 1
In the first equation y=1
2)
y = x+3
y = -2+3
y = 1
As we can see, in both equations when x is plugged in as -2, y = 1
5. Copies of a book are arranged in a stack. Each copy of a book is 2.1 cm thick.
a. Complete the table.
b. What do you notice about the differences in the
height of the stack of books when a new copy of
the book is added?
c. What do you notice about the factor by which the
height of the stack of books changes when a new
copy is added?
copies of
book
0
1
2
3
4
Mathematics
stack height
in cm
The table shows the height of a stack of books based on the number of copies. Each copy of the book is 2.1 cm thick. Adding a new copy of the book increases the height of the stack by 2.1 cm, and the height increases by a factor of 1 for each new copy.
To complete the table, we need to find the stack height for each number of copies of the book. Since each copy of the book is 2.1 cm thick, we can use multiplication to find the total height of the stack for each number of copies
For 0 copies, the stack height is 0 cm.
For 1 copy, the stack height is 2.1 cm.
For 2 copies, the stack height is 4.2 cm (2.1 cm x 2).
For 3 copies, the stack height is 6.3 cm (2.1 cm x 3).
For 4 copies, the stack height is 8.4 cm (2.1 cm x 4).
Therefore, the completed table looks like
copies of book | 0 | 1 | 2 | 3 | 4
stack height | 0 | 2.1 | 4.2 | 6.3 | 8.4
Looking at the table, we can see that each time a new copy of the book is added, the height of the stack increases by 2.1 cm.
We can also observe that the factor by which the height of the stack changes when a new copy is added is always 1. This is because each copy of the book is the same thickness, so adding one copy always adds the same amount of height to the stack.
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7/8 X c for c = 8. What is the value of c?
Answer: The value of c is 8
Step-by-step explanation:
On the thing it says the c=8
Which is the following phrase written as an algebraic expression?
Five inches taller than the plants original height h
A) h+5
B) h-5
C) 5h
D) h/5
Answer:
A)
Step-by-step explanation:
original height- h
We are gonna add 5 to it cuz it's taller but if it was shorter we would have subtracted 5.
We are gonna add 5 to it cuz it's taller but if it was shorter we would have subtracted 5.or if it was 5 times taller we would have multiplied.
In this case it is mentioned taller so the expression would be h+5
a/b - c + d if a = 7/8, b= -7/16, c= 0.8 and d= 1/4 write your answer as a mixed number in simplest form? help me please
Sammy is playing a board game. He rolls two number cubes, each numbered 1-6. If he rolls a sum of 2 he wins $50; otherwise he loses $5. How much should Sammy expect to win or lose on average per roll? Express winning as a positive number and losing as a negative number . Do not include the $ in your answer. Round to the nearest cent
On average, per roll, he can expect to win: (1/36 * 50) - (35/36 * 5) = $1.39 - $4.86 = -$3.47.
How to solveSammy has a 1/36 chance of rolling a sum of 2 (1+1), and a 35/36 chance of rolling any other sum.
On average, per roll, he can expect to win: (1/36 * 50) - (35/36 * 5) = $1.39 - $4.86 = -$3.47.
The probability of an occurrence is a figure that represents how likely it is that the event will take place. It is stated as a number between 0 and 1, or, when using percentage notation, as a number between 0% and 100%.
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A Ferris wheel has a maximum height of 319 feet and a wheel diameter of 300 feet. Find an equation for the wheel if the center of the wheel is on the y-axis and y represents the height above the ground.
The equation is _______.
An equation for the wheel if the center of the wheel is on the y-axis and y represents the height above the ground is x² + (y - 169)² = 22500.
In order to write an equation of the circle, we need two major components: the radius of the circle and the coordinates of its center. We can then express the equation in the form (x - a)² + (y - b)² = r², where r is the radius and (a, b) is the center.
Let's start by first finding the radius of the Ferris wheel. We know that the diameter of the wheel is 300 ft, and that the radius of a circle is half of the diameter. So, we have d = 300,
r = d/2
r = 300/2
r = 150 ft
Now that we know the radius, we can save that for later and move on to finding the center point.
We are told that the center of the wheel is on the y-axis; this means that the x-coordinate of our center point is a = 0.
Next, to find the y-coordinate, we can note that even though the diameter of the wheel is 300 ft, the maximum height of the wheel is actually 319 ft. That means that there must be a structure below the wheel that holds it up 19 ft above the ground (319- 300= 19).
Therefore, we must add this 19 ft to the radius of 150 ft straight up to find the center point of the circle, which is 169 ft above the ground. Thus, the y-coordinate of our center point is b = 169.
We can then plug in our radius and center point (0, 169) into our equation for a circle and simplify to get our final answer
(x - (0))² + (y - (169))² = 150²
x² + (y - 169)² = 22500
Therefore, an equation for the wheel if the center of the wheel is on the y-axis and y represents the height above the ground is x² + (y - 169)² = 22500.
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When finding the ratios of similar volumes you ____________ the ratio of their linear dimensions
While finding with similar volumes, which might be volumes of figures that are similar in shape and proportion, we can find the ratio of their volumes by using the ratio of their linear dimensions.
The linear dimensions refer to the measurements of the duration, width, and height of the figures. If two comparable figures have corresponding linear dimensions inside the ratio of a:b, then their volumes could be in the ratio of [tex]a^3:b^3.[/tex] that is because the volume of a 3-dimensional determine is decided by way of multiplying its duration, width, and top collectively.
For example, if we have cubes which are similar in shape and proportion & the period of one cube is two times the period of the other dice, then the ratio in their linear dimensions is 2:1. therefore, the ratio in their volumes can be [tex](2^3):(1^3)[/tex], which simplifies to 8:1. which means the larger dice has 8 times the volume of the sm
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The value of arc CD is determined as 60⁰.
option A.
What is the value of arc CD?
The value of arc CD is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.
arc BD = 2 x m∠BED
From the diagram, we have, m∠BED = 62⁰
The value of arc BD is calculated as follows;
arc BD = 2 x 62⁰
arc BD = 124⁰
arc BD = arc BC + arc CD
arc CD = 124 - 64
arc CD = 60⁰
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What is the radius of polygon $JKLMN$ ?
JKLMN is a regular polygon inscribed in a circle. The radius of the polygon is 5 units.
What is regular polygon?
Every polygon with equal side lengths and interior angles is said to be regular. A regular polygon's circumradius, also known as its radius, is the constant distance from the center to any of its vertices. It holds true for every vertex in the polygon. Therefore, PM = radius = 5 units.
As a result, the circumradius acts as a fundamental geometric characteristic of a regular polygon, describing both the size of the circle that completely encloses the polygon and the equal distance between its center and vertices. Therefore, the radius of the polygon is 5 units.
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The Marcas family is planning a trip. They have one week off and have listed distances to several attractions in Florida so they can choose. The distances are shown: (157, 395, 204, 150, 381, 537, 99.4, 289, 231, 246) The data shown in the list is [DROP DOWN 1] and [DROP DOWN 2]. It should be displayed in [DROP DOWN 3] because [DROP DOWN 4].
The data shown is quantitative and continuous.
How to solveThe Marcas family has listed distances to attractions in Florida as: (157, 395, 204, 150, 381, 537, 99.4, 289, 231, 246).
The data shown is quantitative and continuous.
It should be displayed in a histogram because it effectively represents the distribution of numerical data, allowing the family to visualize the distances and make an informed decision about their trip.
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If x = 12 inches, y = 24 inches, z = 34 inches, and w = 3 inches, what is the perimeter of the object?
The calculated value of the perimeter of the object is 73 inches
What is the perimeter of the object?From the question, we have the following parameters that can be used in our computation:
x = 12 inches, y = 24 inches, z = 34 inches, and w = 3 inches,
The value of the perimeter of the object is calculated by adding the side lengths
So, we have
perimeter = x + y + z + w
Substitute the known values in the above equation, so, we have the following representation
perimeter = 12 + 24 + 34 + 3
Evaluate
perimeter = 73
Hene, the perimeter is 73 inches
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Which line plot displays a data set with an outlier?
Responses
An untitled line plot from 3 to 14. The plot displays the following values as dots above the corresponding value on the number line. One dot at 4. Two dots at 5. Five dots at 6. Two dots at 7. Two dots at 8. Two dots at 9. One dot at 10. One dot at 11. Two dots at 12. One dot at 13.
Image with alt text: An untitled line plot from 3 to 14. The plot displays the following values as dots above the corresponding value on the number line. One dot at 4. Two dots at 5. Five dots at 6. Two dots at 7. Two dots at 8. Two dots at 9. One dot at 10. One dot at 11. Two dots at 12. One dot at 13.
The figure shows a number line number from 4 through 14 in increments of 1. A line plot is graphed. There are three points above the 5, 4 above the 6 and 7, 3 above the 8, 2 above the 9 and 10, and 1 above the 11, 12, and 13.
Image with alt text: The figure shows a number line number from 4 through 14 in increments of 1. A line plot is graphed. There are three points above the 5, 4 above the 6 and 7, 3 above the 8, 2 above the 9 and 10, and 1 above the 11, 12, and 13.
An untitled line plot from 4 to 17. The plot displays the following values as dots above the corresponding value on the number line. One dot at 5. Two dots at 11. Three dots at 12. Four dots at 13. Two dots at 14. Three dots at 15. One dot at 16.
Image with alt text: An untitled line plot from 4 to 17. The plot displays the following values as dots above the corresponding value on the number line. One dot at 5. Two dots at 11. Three dots at 12. Four dots at 13. Two dots at 14. Three dots at 15. One dot at 16.
An untitled line plot from 4 to 16. The plot displays the following values as dots above the corresponding value on the number line. Three dots at 7. Four dots at 8. One dot at 9. Three dots at 11. Four dots at 12. Two dots at 13. One dot at 14.
Image with alt text: An untitled line plot from 4 to 16. The plot displays the following values as dots above the corresponding value on the number line. Three dots at 7. Four dots at 8. One dot at 9. Three dots at 11. Four dots at 12. Two dots at 13. One dot at 14.
The requreid line plot displays a data set with an outlier given below.
The line plot with the outlier is the second one that displays the values as dots above the corresponding values on the number line. The data set has a clear outlier with one dot above the number 5, while the rest of the data points cluster around the values of 6 to 13. The other line plots do not display any clear outliers.
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1. The diagram shows a graph y = 6x + 5. Which number should be subtracted from the right side of the equation to make it a proportional equation?
The number 5 should be subtracted from the right side of the equation to make it a proportional equation.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The function in this problem is given as follows:
y = 6x + 5.
A proportional relationship is a special case of a linear function with an intercept of zero, hence we must subtract by 5 as follows:
y = 6x + 5 - y
y = 6x.
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F.² + z² = m²
3. The lengths of the three sides are given for several right triangles. For each, write an
equation that expresses the relationship between the lengths of the three sides.
a. 10, 6, 8
b. √5, √√3, √8
c.
5, √5, √30
d. 1, √37,6
e. 3, √2, √7
With regard to the right triangles, the equations that expresses the relationship are:
a) 6² + 8² = 10²
b) (√5)² + (√3)² = (√8)²
c) √5)² + (√30)² = 5²
d) does not form a right triangle
e) (√2)² + (√7)² = 3²
In all the cases but the 4th, the sum of two sides are less than the square of the hypotenuse.
The square of the hypotenuse of a right-angled triangle is always equal to the sum of the squares of the other two sides, according to the Pythagorean property.
This theorem is written as c2 = a2 + b2, where 'c' is the hypotenuse and 'a' and 'b' are the two triangle legs.
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Use the red point in your equation. Write your answer using integers, proper fractions, and improper fractions in simplest form.
Use: y-_=_(x-_)
An equation of the line in point-slope form is y + 40 = -2(x - 70).
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (0 - 100)/(50 - 0)
Slope (m) = -100/50
Slope (m) = -2
At point (70, -40) and a slope of -2, an equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y + 40 = -2(x - 70)
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Use the given zero to find the remaining zeros of the function.
h(x)=3x^4+10x³+19x^2+90x-72; zero: -3i
The remaining zeros of h are ___
(Use a comma to separate answers as needed. Use integers or fractions for any numbers in the expression.)
Answer:
Since the coefficients of the polynomial function h(x) have real values, if -3i is a zero of h(x), then its complex conjugate 3i must also be a zero of h(x). This is known as the Complex Conjugate Root Theorem.
Therefore, the remaining zeros of h(x) can be found by dividing the polynomial by the factors (x - (-3i)) and (x - 3i), using either polynomial long division or synthetic division. Here, we'll use synthetic division:
3i | 3 10 19 90 -72
| 9i -63 -216 -294
+-----------------------
3 10+9i -44 -126 -366
Step-by-step explanation:
The quotient is 3x^3 + (10+9i)x^2 - 44x - 126, and the remainder is -366. This tells us that:
h(x) = (x - (-3i))(x - 3i)(3x^3 + (10+9i)x^2 - 44x - 126)
The remaining zeros of h(x) can now be found by solving the cubic polynomial 3x^3 + (10+9i)x^2 - 44x - 126. This can be done using various methods such as the Rational Root Theorem, factoring by grouping, or numerical methods. However, these methods can be quite involved and may not always lead to exact answers.
2+3-4
I cant findd the anser is the anser -3 plese help im in clas and i dont undrstamd the question
Answer:
1
Hope this helps
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Watermelons needed to be loaded up from the farm to go to the local market.
The mass of the load on the truck is 56 kilograms. If the mass of each watermelon is 7 kilograms, how many watermelons are on this load?
Show your work.
If the mass of each watermelon is 7 kilograms, there are 8 watermelons on the load.
To find the number of watermelons on the load, we need to divide the total mass of the load by the mass of each watermelon. We can set up an equation to represent this:
Number of watermelons = Total mass of load / Mass of each watermelon
Plugging in the given values, we get:
Number of watermelons = 56 kg / 7 kg per watermelon
Simplifying, we get:
Number of watermelons = 8
Therefore, there are 8 watermelons on the load.
It's important to note that this calculation assumes that all the watermelons have the same mass of 7 kg. In reality, there may be some variation in the mass of the individual watermelons, which could affect the total number of watermelons on the load. Additionally, other factors such as the size and shape of the watermelons may also affect how many can fit on the truck.
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Sales of People magazine are compared over a 5 week period at four borders outlets in Chicago ANSWER ALL URGENT
We reject the null hypothesis because Hcal is greater than Hcrit
What is the Null Hypothesis?In statistics, the null hypothesis is a statement suggesting that there are no significant differences when studying two or more groups, variables, or phenomena.
Typically represented as H0 and deemed truthful until confirmed otherwise by empirical data, it can be exemplified in studies evaluating the impact of new drugs where the null hypothesis will claim that they have no effect on the outcome measured.
Here, any variations noticed between drug recipients versus those using placebos would be due to random variation rather than the drug itself causing the change.
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