Answers
Step-by-step explanation:
this distance YZ is the height of the triangle WXY.
it splits the main triangle into 2 right-angled triangles WYZ and XYZ.
we can use Pythagoras
c² = a² + b²
with any of the 2 smaller right-angled triangles to get YZ.
remember, "c" is the Hypotenuse (the side opposite to the 90° angle). a and b are the legs.
so, when picking the larger one :
26² = 24² + YZ²
676 = 576 + YZ²
100 = YZ²
YZ = sqrt(100) = 10 = distance of Y to WX.
Related Questions
kenton buys a tool box drill set and a socket set he spends a totalof $564.45 after tax, and the tax rate is %6 what was the total cost before tax
Answers
Answer:Answer: $532.50
Step-by-step explanation:
564.45 = 1.06x
564.45/1.06 = x
532.50=x
Check: 532.50 × .06 = 31.95
532.50+31.95 = 564.45 True!
can you pls solve this i need help
Answers
2 apples is equivalent to 6 bananas.
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here; Scale1 as 20 bananas equal to 4 pineapples
Scale 2 as 2 pineapple equals 4 bananas and 2 apple
Let the weights of pineapple, bananas , apple as x,y,z respectively
Thus 20y=4x
or x=5y
Again 2x=4y+2z
or 10y=4y+2z
6y=2z
z=3y
Thus 2 apples or 2z=6y that is 6 bananas
Hence, 2 apples is equivalent to 6 bananas.
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there are 24 psychiatrists and 30 psychologists attending a certain conference. three of these 54 people are randomly chosen to take part in a panel discussion. what is the probability that at least one psychologist is chosen?
Answers
Answer: There are a few different ways to approach this problem, but one common method is to use the complement rule, which states that the probability of an event happening is equal to 1 minus the probability of the event not happening. In this case, we want to find the probability of at least one psychologist being chosen, which is the same as 1 minus the probability of no psychologists being chosen.
To find the probability of no psychologists being chosen, we first need to calculate the total number of ways to choose 3 people from a group of 54, which is:
54 choose 3 = 54! / (3! * 51!) = 19,958
Then we need to find the number of ways to choose 3 psychiatrists from a group of 24, which is:
24 choose 3 = 24! / (3! * 21!) = 1,344
Now, we can use these values to calculate the probability of no psychologists being chosen:
P(no psychologists) = (24 choose 3) / (54 choose 3) = 1,344 / 19,958 = 0.067 or 6.7%
Finally, we can use the complement rule to find the probability of at least one psychologist being chosen:
P(at least one psychologist) = 1 - P(no psychologists) = 1 - 0.067 = 0.93 or 93%
So the probability that at least one psychologist is chosen from the conference is 93%
Step-by-step explanation:
Two scientists are running experiments on the same type of bacteria in different control groups. The results are shown in the graph using the functions f(x) and g(x):
graph of two functions with quadrant 1 and 4 shown, f of x equals seven times one half to the x power plus three and g of x equals one half times x minus one
Which statement best describes the graph of f(x) and g(x)?
Answers
The function's description is accurate if (b) The graph of g(x) will ultimately surpass the graph of f. (x).
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Graphs can be used to represent functions.
The correct statement that describes the function is: (b) The graph of g(x) will eventually exceed the graph of f(x).
From the graphs, we have the following highlights
The graph of g(x) is constantly increasing as the value of x increases
The graph of f(x) is on decreasing (not constantly) as the value of x increases
The above highlights mean that: the value of g(x) would exceed g(x), at some point.
Hence, the correct statement that describes the function is: (b) The graph of g(x) will eventually exceed the graph of f(x).
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How can I know when
to place a zero in the quotient?
Answers
Answer:
See below
Step-by-step explanation:
Your question lacks context, but zero would be in the quotient if the dividend is 0 and the divisor is some natural number (all integers but 0).
Get practice with both the Normal Distribution Table and your calculator when doing the following problems
3.
A recent study found that the mean amount spent by individuals on a music service website was normally
distributed with a mean of $384 with a standard deviation of $48. Which of the following gives the
proportion of the individuals that spend more than $400?
(1) 0.43
(3) 0.12
(2) 0.74
(4) 0.37
A.
The hold time experienced by people calling a government agency was found to be normally distributed
with a mean of 12.4 minutes and a standard deviation of 4.3 minutes. Which percent below represents the
percent of calls answered in less than 5 minutes?
(1) 4.3%
(3) 6.8%
(2) 5.3%
(4) 12.9%
Answers
The proportion of the individuals that spend more than $400 is 0.35 and the percent of calls answered in less than 5 minutes is 5.3%
How to determine the probabilitiesProbability 1
From the question, we have the following parameters that can be used in our computation:
Mean = 384
Standard deviation = 48
x = 400
The z-score is calculated as
z = (x - Mean)/Standard deviation
So, we have
z = (400 - 384)/40
z = 0.4
The required probability is
P = P(z > 0.4)
So, we have
P = 0.345
Probability 2
Here, we have
Mean = 12.4
Standard deviation = 4.3
x = 5
The z-score is calculated as
z = (x - Mean)/Standard deviation
So, we have
z = (12.4 - 4.3)/5
z = 1.62
The required probability is
P = P(z > 1.62)
So, we have
P = 5.3%
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Choose 2 number. Write 2 different sentences to compare the numbers. Use is greater than, is less than, or is equal to. Then use >,<or =.
Answers
To compare the two different numbers 12 and 23 using different sentences are :
a. Twelve is less than twenty three or twenty three is greater than twelve.
b. 12 < 23 or 23 > 12.
Choose two numbers:
Let the numbers be 12 and 23.
Two different sentence to compare the considered numbers we have,
First method is using words.
a. twelve is less than twenty three.
Twenty three is greater than twelve.
Second method is symbolic method :
b. 12 < 23
'<' symbol represents less than.
23 > 12
'>' symbol represents the greater than.
Therefore, using two different method to compare two numbers are :
a. Word method : Twelve is less than twenty three or twenty three is greater than twelve .
b. Symbolic method : 12 < 23 or 23 > 12.
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the number of seconds in a year is seconds. what is a rounded form of this number of seconds in scientific notation?
Answers
The number of seconds in a year in scientific notation is 31,536,000 seconds or [tex]3.154 * 10 ^{7}[/tex]
In one hour [tex]60 \ sec * 60\ min = 3600 \ sec[/tex]
For one day we have to multiply [tex]3600 * 24 = 86400\ sec[/tex]
For one calendar year (365 days) = [tex]86400 * 365 = 31536000 \ sec[/tex]
It Can be written as : [tex]3.154 * 10 ^{7}[/tex]
∴ In a year, there are 31,536,000 seconds.
Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation.
We must adhere to the following rule in order to calculate the power or exponent of 10:
The base must always be 10.Exponents that are non-zero integers must be either positive or negative in order to be used.The coefficient's absolute value is more than or equal to 1, but it must be less than 10.Positive and negative numbers, including whole and decimal values, can be coefficients.The remaining significant digits of the number are represented by the mantissa.For such more question on seconds:
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The following question may be like this:
Express the number of seconds in a year in scientific notation (1year= 365days)
The number of seconds in a year is 31,536,000 seconds. Rounded to three significant figures, the number of seconds in a year can be written as 3.15 x 10^7 seconds in scientific notation.
Scientific notation is a way to represent numbers as a decimal multiplied by a power of 10. The decimal part is always between 1 and 10, and the power of 10 gives the number of zeros or decimal places in the original number. For example, the number of seconds in a year can be written as 31,536,000 seconds in scientific notation as 3.1536 x 10^7.
The number of seconds in a year is 31,536,000 (60 seconds x 60 minutes x 24 hours x 365 days).
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Does someone mind helping me with this problem? Thank you!
Answers
Answer:
6 and 4
Step-by-step explanation:
the first number is x and the second is y , then triple x is 3x , so
3x + y = 22 → (1)
the second number y is equal to twice x , less 8 , that is 2x - 8 , so
y = 2x - 8 → (2)
solving the 2 equations simultaneously.
substitute y = 2x - 8 into (1)
3x + 2x - 8 = 22
5x - 8 = 22 ( add 8 to both sides )
5x = 30 ( divide both sides by 5 )
x = 6
substitute x = 6 into (2) for y
y = 2(6) - 8 = 12 - 8 = 4
first number is 6 and second number is 4
PLS HELP! Asap
I need helppp!
Answers
Answer:
The first option (angle 2 and 5)
Step-by-step explanation:
Vertical angles are angles that are opposite of each other when two lines cross. Vertical angles are congruent, meaning that they have the same angle measure.
In this case, angle 2 and angle 5 are vertical angles. So, the measure of angle 2 is equal to the measure of angle 5. Angle 6 and angle 3 are also vertical angles. So, the measure of angle 6 is equal to the measure of angle 3.
numbers 1 and 2 are written on a blackboard. every day, matthew replaces the two numbers a and b on the board by their arithmetic and harmonic means. will 35/24 ever be on the board?
Answers
No, 35/24 will never be on the board because the arithmetic and harmonic means can only generate positive integers.
No, 35/24 will never be on the board because the arithmetic and harmonic means can only generate positive integers. To calculate the arithmetic mean of two numbers, one adds the two numbers and divides the sum by two. The harmonic mean of two numbers is calculated by taking the reciprocals of the two numbers and dividing their sum by two. In the case of 1 and 2, the arithmetic mean is 1.5 and the harmonic mean is 2/3. So, the numbers on the board will be changed to 1.5 and 2/3 every day. 35/24 is a fraction and cannot be generated from the arithmetic and harmonic means of 1 and 2. Therefore, it will never be on the board.
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find the equation of the exponential function represented by the table
Answers
The equation of the exponential function in the table is
f(x) = 0.2(3)ˣHow to write the equation of the exponential functionExponential function is a type of function of the form: f(x) = a(b)^x. It is made up of 3 main parts
a = the starting or initial value
b = the base function
x = the exponents
Considering the given problem, as in the table
the starting = is f(0) = 0.2
Solving for the base
f(x) = a(b)^x at x = 1
0.6 = 0.2(b)^1
0.6 = 0.2b
b = 0.6 / 0.2
b = 3
hence the equation is f(x) = 0.2(3)ˣ
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Answer:
I DONT KNOW SORRYStep-by-step explanation:
I KNOW ALOT OF MATH BUT NOT THIS ONE :| LIFE IS LIFEI GOT MY PONITS I'M HAPPY :) :) :) :) :) :) :) :) :) :) :) :)
Solve -11x - 7y = -56 in slope intercept form
Answers
Answer:
the slope of the line is -11/7 and the y-intercept is 8.
Step-by-step explanation:
First, we'll add 11x + 7y to both sides:
-11x - 7y + 11x + 7y = -56 + 11x + 7y
0 = -56 + 11x + 7y
Then, we'll add 56 to both sides:
0 + 56 = -56 + 11x + 7y + 56
56 = 11x + 7y
Finally, we'll divide both sides by 7:
56/7 = (11x + 7y)/7
8 = (11x + 7y)/7
Now we have the equation in slope-intercept form:
y = -(11/7)x + 8
So in this case, the slope of the line is -11/7 and the y-intercept is 8.
The chemical equation shows iron(III) phosphate reacting with sodium sulfate.
2FePO4 + 3Na2SO4 Right arrow. Fe2(SO4)3 + 2Na3PO4
What is the theoretical yield of Fe2(SO4)3 if 20.00 g of FePO4 reacts with an excess of Na2SO4?
Answers
The theoretical yield of Fe₂(SO₄)³ if 20.00 g of FePO₄ reacts with an excess of Na₂SO₄ is 26.52g.
What is a theoretical yield?The amount of a product produced by a reaction is expressed in terms of the reaction's yield.
Given the chemical equation:
2FePO₄ + 3Na₂SO₄ → Fe₂(SO₄)₃ + 2Na₃PO₄
Theoretical molar ratios:
2 mol FePO₄ : 3 mol Na₂SO₄ : 1 mol Fe₂(SO₄)₃ : 2 mol Na₃PO₄
Convert 20.00 g of FePO₄ into a number of moles
number of moles = mass in grams / molar mass
molar mass of FePO₄ = 150.82 g/mol
Number of moles = 20.00 g / 150.82 g/mol = 0.1326 mol FePO₄
Proportionality
1 mol Fe₂(SO₄)₃ x
----------------------- = ------------------------
2 mol FePO₄ 0.1326 mol FePO₄
Solve for x:
x = (0.1326 / 2) x 1 mol Fe₂(SO₄)₃ = 0.0663 mol Fe₂(SO₄)₃
Convert 0.0663 mol Fe₂(SO₄)₃ into grams
mass in grams = number of moles x molar mass
molar mass Fe₂(SO₄)₃ = 399.88 g/mol
mass = 0.0663 mol x 399.88 g/mol = 26.51 g
Depending on the number of decimal digits used by one or other you might obtain 26.52 instead 26.51, that difference does not count.
Therefore, the theoretical yield of Fe₂(SO₄)³ is 26.52g.
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Does this table represent a function why or why not?
Answers
The table of values is not a function
How to determine if the table is a functionFrom the question, we have the following parameters that can be used in our computation:
The table of values
The general rule of functions is that
Each y value must have different x values
In the table of values, the y values 2 and 5 all have the same x value
Hence, it is not a function
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Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.
A) 2.3p – 10.1 = 6.4p – 4
B) 2.3p – 10.1 = 6.49p – 4
C) 230p – 1010 = 650p – 400 – p
D) 23p – 101 = 65p – 40 – p
E) 2.3p – 14.1 = 6.4p – 4
Answers
Answer: Multiplying both sides of the original equation by 100 gives the same
the solution as follows;
100 × (2.3·p - 10.1) = 100 × (6.5·p - 4 - 0.01·p)
230·p - 1010 = 650·p - 400 - p
Step-by-step explanation:
A jewelry designer is making beaded jewelry with the 999 beads she currently has in stock. Bracelets use 10 beads and necklaces use 57 beads.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
Answers
The inequality in standard form that describes this situation is 10x + 57y < 999.
What is inequality ?This refers to the relationship between two values that are not of the same value.
Solving the inequality, we have:
Let x be the number of b=racelets that can be made and y be the number of necklaces that can be made. The inequality in standard form that describes the situation is:
x = the number of bracelets
y = the number of necklaces
Number of beads / bracelets =10
Number of necklaces = 57
10x + 57y < 999.
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Find the length of side a in simplest radical form with a rational denominator.
Answers
The length of side x is √2 units. The solution has been obtained by using the trigonometry formulas.
What is trigonometry?
The study of the sides, angles, and connections of the right-angle triangle is the main goal of the field of mathematics known as "trigonometry." In order to find the unknown or missing angles or sides of a right triangle, one can apply the trigonometric formulas, functions, or identities. Angles can be expressed in radians or degrees in trigonometry. The most frequent trigonometric angles used in calculations are 0, 30, 45, 60, and 90 degrees.
We are given a right-angled triangle with hypotenuse 2units.
We know that sin theta = opposite side/hypotenuse
Also, sin 45° = 1/√2
So,
⇒sin 45° = x/2
⇒1/√2 = x/2
⇒2/√2 = x
⇒√2 = x
Hence, the length of side x is √2 units.
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the density of an object with mass m and volume v is m/v . abigail has a diamond stone that her grandmother gave her. the diamond's mass is 70 grams, and its volume is 20 cubic centimeters. what is the density of the diamond?
Answers
Answer: 3.5
Step-by-step explanation:
70/20=3.5
roxanne bought 7 packs of bottled water and 9 boxes of soda. there were 10 bottles of water in each pack and 6 cans of soda in each box. how many drinks did roxanne buy in all? drinks
Answers
The total number of drinks Roxanne buy is 124
Roxanne bought 7 packs of bottled water and 9 boxes of soda. There were 10 bottles of water in each pack and 6 cans of soda in each box.
Roxanne bought 7 pack of bottled water.
1 pack of water bottle contains 10 bottles of water,
Hence 7 pack of water bottle contains. [tex]$7 \times 10=70$[/tex] water bottles
Roxanne bought 9 boxes of soda, 1 box of soda contain 6 cans of soda, then 9 boxes of soda contains. [tex]$x=$[/tex] cans of soda,
Then the total number of drinks Roxanne buy[tex]$=70=1$[/tex]
The total number of bottles calculate by the Multiplication of number of packet of bottles and per packet bottles.
Therefore, the total number of drinks Roxanne buy = 124
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Okay, it says “write each mixed number as an improper fraction” and ignore the letters, for 1,2,3,4,5,6,7 do I just add/subtract the mixed numbers or make the answer as an improper fraction?
Answers
The value of the improper fraction will be:
1. 2 2/3 = 8/3
2. 4 1/2 = 9/2
3. 1 7/10 = 17/10
4. 2 3/8 = 19 / 8
5. 5 5/9 = 50/9
6. 1 7/12 = 19/12
How to calculate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
The improper fraction will be:
1. 2 2/3 = (2 × 3 + 2) / 3 = 8/3
2. 4 1/2 = (4 × 2 + 1) / 2 = 9/2
3. 1 7/10 = (1 × 10 + 7) / 10 = 17/10
4. 2 3/8 = (2 × 8 + 3) / 8 = 19 / 8
5. 5 5/9 = (5 × 9 + 5) / 9 = 50/9
6. 1 7/12 = (1 × 12 + 7) / 12 = 19/12
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Which is a correct solution for the following system of Inequalities
Answers
Answer:
I believe the answer is C... I might be wrong but I hope it helps you!!
Step-by-step explanation:
Answer:
I think the answer is b
-1,2
true or false: the curve of a distribution has thicker tails than the curve of the standard normal distribution.
Answers
Therefore, the given statement that the t-distribution has more area in the tails than the standard normal distribution
SO ITS TRUE
Answer: true
Step-by-step explanation:
Can someone help me with this please? Appreciated!
The formula for the area of a trapezoid is A = 1/2h(b₁ + b₂) where h is its height
and b₁ and b₂ are the lengths of each base
Rewrite the area formula to solve for the height
Answers
Answer:
Area of a trapezoid=1/2(a+b)h where a and b are the bases and h is the height.
Step-by-step explanation:
Given f(x)=x^2 +2x - 6 and the values of the linear function g(x) in the table, what is the range of (f+g)(x)?
Answers
The range of the function will exist on all real numbers. Option D is correct.
what is the Range?
The range gives an idea of how spread out the values in a dataset are and it's a simple measure of dispersion.
The formula for range is:
Range = Maximum value - Minimum value
Given the function f (x) = x^2 + 2x – 6,
The function of the table will also give a quadratic function of degree two.
The sum of the functions will also lead to a quadratic function and since for all input values of the function, there will be a corresponding output, hence the range of the function will exist on all real numbers.
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whats 2848x3848 + 575x848 / 48583 x 4848 + 828382
(who just wants to take a break from school and just relax and talk about things?)
Answers
Me. I definitely want to take a break
What is the value of m in this proportion? 1/7/3/4=1/6/m Enter your answer as a fraction in simplest form in the box. M =
Answers
A fraction in simplest form M = 3/4
Part A is 1/4 of the whole
Part B is 3/4 of the whole
Assuming there are no other parts,
the Whole = A + B is the denominator:
Whole = 3 + 9 = 12
Part A = 3 and Part B = 9 are numerators for each fraction.
The fractions are then:
3/12 and 9/12
Meaning:
Part A is 3/12 of the whole
Part B is 9/12 of the whole
Reducing the fractions, it is also true that:
Part A = 1/4 of the whole
Part B = 3/4 of the whole
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1. The dark triangles are outliers.
When the outliers in the data were omitted, the correlation coefficient (r) changed to 0.86.
Why did omitting the outliers change the correlation between the variables?
2.) how do the outliers affect the data?
Answers
1) Note that the dark triangles are outliers.
2) Omitting the outlines changed the correlation between the variables because outliers can skew the data and make the relationship between the variables appear stronger or weaker than it actually is.
3) Outliers can greatly affect the data by distorting the overall relationship pattern between the variables.
What are Outliers?An outlier in statistics is a data point that deviates considerably from other observations.
It is correct to state that an outlier can be caused by measurement variability, a hint of new data, or an experimental mistake; the latter is sometimes eliminated from the data set.
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Calculate the ratio of AB to BC and the ratio of AD to DC. Round your answers to the hundredths place. What do you notice about the ratios?
Answers
The ratio of AB to BC is 4.3 : 5 and the ratio of AD to DC is 2 : 2.3
How to calculate the ratio of AB to BC and the ratio of AD to DCFrom the question, we have the following parameters that can be used in our computation:
A = (0, 4)
B = (-5, -3)
C = (5, -3)
D = (2.4, 0.8)
Next, we calculate the distance between the points using
Distance = √[(x2 - x1)² + (y2 - y1)²]
So, we have
AB = √[(0 + 5)² + (4 + 3)²] = 8.6
BC = √[(5 + 5)² + (-3 + 3)²] = 10
AD = √[(0 - 2.4)² + (4 - 0.8)²] = 4
DC = √[(2.4 - 5)² + (0.8 + 3)²] = 4.6
The ratios are then represented as
AB : BC = 8.6 : 10
AD : DC = 4 : 4.6
Simplify the ratios
AB : BC = 4.3 : 5
AD : DC = 2 : 2.3
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Use prime notation to label the vertices of the image.
Answers
The solution is Option B.
The rotation of the line JK around the point P by 180° will be J'K'
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the rotation angle be represented as A
Now , the value of A is 180°
Let the points be represented as J and K
Let the rotated point be represented as J'K'
And , when a point is rotated by and angle 180° , the x and y coordinates of the point will become their additive inverse
For a 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
And , the figure which represents the coordinates of the point J' and K' is when K' is below and J' is above
Hence , the solution is Option B.
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