Trapezoid ABCD is congruent to trapezoid A′′B′′C′′D′′ . Which sequence of transformations could have been used to transform trapezoid ABCD to produce ​ trapezoid A′′B′′C′′D′′ ​ ? Responses ​ Trapezoid ABCD ​ was reflected across the y-axis and then across the x-axis. ​, , trapezoid A B C D, , ​, , was reflected across the y -axis and then across the x -axis. ​ Trapezoid ABCD ​ was reflected across the y-axis and then translated 7 units up. ​, , trapezoid A B C D, , ​, , was reflected across the y -axis and then translated 7 units up. ​ Trapezoid ABCD ​ was reflected across the x-axis and then across the y-axis. ​, , trapezoid A B C D, , ​, , was reflected across the x -axis and then across the y -axis. ​ Trapezoid ABCD ​ was translated 7 units up and then 12 units left. ​, , trapezoid A B C D, , ​, , was translated 7 units up and then 12 units left.

There were 35 students that cast ballots in total.

How much is a percentage?

In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Frequently, it is denoted with the percent sign ("%")

We possess

60% of the vote, or 21 votes, are cast in favor of Candidate A.

The answer to the query is

Formulate the following given the conditions: 21 /60%

Use the same number to multiply the numerator and denominator: 210/6

Remove the connecting element: 35

Consequently, 35 students in all cast ballots.

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The midpoint of A and B is (Xa , Yb) = (-4,1) and  the midpoint of C and D is (Xc , Yd) = (4 , 6)

What is midpoint?

A(-3,5) and B(-5, -3)

(Xa , Yb) = [(x₁ + x₂ / 2) , (y₁ + y₂ / 2)]

= [(-3 + (-5) / 2) , (5 +(-3) / 2)]

= (-8/2 , 2/2)

(Xa , Yb) = (-4,1)

Hence, the midpoint of A and B is (Xa , Yb) = (-4,1).

C(7,9) and D(1,3)

(Xc , Yd) = [(x₁ + x₂ / 2) , (y₁ + y₂ / 2)]

= [(7+1/2) , (9+3 / 2)]

= ( 8/2 , 12/2)

(Xc , Yd) = (4 , 6)

Hence, the midpoint of C and D is (Xc , Yd) = (4 , 6).

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Since 10 to the power of 2 is 100, we multiply 59.303 by 100, meaning we can just push the decimals two places up with an answer of 5930.3

Hope this helps.

Answer:5930.3

Step-by-step explanation:

10^2=10x10

10x10x59.303=5930.3

Explaining a bar graph

A bar graph graphically displays information. It uses bars that extend to various heights to symbolize value. Bar graphs can be created using any of the following: vertical bars, horizontal bars, grouped bars (several bars that compare values in a category), and stacked bars (bars containing multiple types of information).

Two sketches are shown in Histogram I for Box A.

20 drawings from Box B are represented in Histogram II.

20 drawings from Box A are represented in Histogram III.

Two draws are shown in Histogram IV for Box B.

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100 grams/day of substance x is filtered, 50 grams/day is reabsorbed, 75 grams/day is secreted and 125 grams/day is excreted. substance x is undergoing in the nephron net secretion and would have a clearance value that is greater than GFR

The formula for calculating clearance is Cx is given in terms of volume per time, where Ax is the quantity of x removed from the plasma, Px is the average plasma concentration, and Cx = Ax /Px.

Ax= 125 grams/day

and Px= 50 grams/day

Cx= 125/ 50

Cx= 2.5 grams/day

Therefore, the creatinine clearance overestimates GFR more severely in patients with a very low GFR than in those with higher GFR values. For a patient with a very low GFR, the secreted component is a relatively larger fraction of the total amount excreted.

Creatinine clearance remains the most popular method for routinely assessing patient GFR and the integrity of renal filtration, despite its low cost and convenience.

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Complete question :

Patient was experiencing respiratory acidosis (the increased hydrogen ion concentration was predominantly activating his peripheral chemoreceptors). 100 grams/day of substance X is filtered, 50 grams/day is reabsorbed, 75 grams/day is secreted and 125 grams/day is excreted. Substance X is undergoing ___________ in the nephron and would have a clearance value that is _________.(choose one)

A)net reabsorption, less than GFR

B)net secretion, greater than GFR

C)neither net reabsorption nor net secretion, equal to GFR

D)net reabsorption, greater than GFR

E) net secretion, less than GFR

The 95% confidence interval for the average cost of

accessories on Mini Cooper is between $4790.254 and $5219.746

The margin of error in estimating the average cost of accessories on Mini Coopers is $219.7459.

The required sample size should be 34574400 to reduce the

margin of error by 50%

Sample size, n = 179

Sample mean, x = 5,000

Population standard deviation, σ = 1,500

Confidence level, 1-α=0.95

⇒ Level of significance, α = 0.05

From the z-table, the tabulated value is given by

[tex]Z_{\alpha /2}[/tex] / [tex]Z_{0.025}[/tex]

=1.95

95% confidence interval for the average cost of accessories on Mini Cooper is

5,000±1.96×(1,500/√179)

= (5,000 ± 219.7459)

=($4790.254, $5219.746)

Therefore the 95% confidence interval for the average cost of

accessories on Mini Cooper is between $4790.254 and $5219.746.

Margin of error

= 1.96x(1,500/√179)

= 219.7459

Therefore, the margin of error in estimating the average cost of accessories on Mini Coopers is $219.7459.

The margin of error (E) is 0.50

⇒(0.50) √n=1.96(1500)

√n = 1.96(1500) /0.50

= n = (1.96(1500) /0.50)²

= n = (5880)²

= n = 34574400

Therefore, the required sample size should be 34574400 to reduce the

the margin of error by 50%

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The trapezoidal rule uses trapezoidal approximations to approximate the definite integral, whereas the midpoint rule uses rectangular regions to do so. By first approximating the original function with piecewise quadratic functions, Simpson's rule approximates the definite integral.

Since

"frac" (1-x) = (1-x)-1 = 1+x2+x3+x4+.... = "sum_n=0" infty" xn "hspace"

5mm for "left | x | 1"

How can a power-based integral be evaluated?

Power Rule for Integrals To apply this rule, simply add one to the exponent.The expression is then divided by the same number.The constant C is added in the final step. Now, we will solve some problems to determine the integrals of polynomials and root functions.

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These statements are not always true for all real numbers

What is a real number ?

A real number is a number that can be used to represent a continuous one-dimensional quantity in mathematics, such as a temperature, duration, or distance. Continuous in this context suggests that values may vary by arbitrary little amounts. An infinite decimal expansion can nearly always represent any real number.

a. If a² = b² and a = b is not always true because (-3)² = (3)² is true but

-3 = 3 is not true

Hence if a² = b² then  a = b is not always true

b.  if a< b then a²<b² is not always true

because -5<4 is true but (-5)² < (4)² is not true

Hence if a<b then a² < b² is not always true

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Margin of error for the given standard deviation is  m = 3.77 , 4.21.

What is standard deviation?

Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.

Main body:

Consider the given data, the sample of 84 announcements of upcoming engineering conferences were randomly selected. Here, sample mean = 3.94 days and sample standard deviation s = 1.28 days. The population standard deviation is unknown.

C.I . = 95% = 0.95

value of 0.95 in z-table = 1.96

m(margin of error ) = x - bar ±z*σ/√n

m = 3.94 ± 1.96*1.28/√84

m = 3.94±0.27

m = 3.77 , 4.21

Hence margin of error is m = 3.77 , 4.21

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The desired probability calculated from the given data is 931.

The first thirty-one numbers can be arranged in $31!$ different ways, and in $29!$ different ways so that the highest number is in the 31st position and the second-largest is in the 20th.

The result is $931$ since this gives us the desired probability of

$\frac{29!}{31!} = \frac{1}{31\cdot 30} = \frac{1}{930}$, so the answer is required answer is $\931$.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

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The total number of units of fuel used per mile is f(N) = 12 + 2.2N

What is a linear function?

A straight line on the coordinate plane is represented by a linear function. The formula for a linear function is f(x) = mx + b, where m and b are real values.

Let 'N' represent the number of railcars on the train.

Each railcar on the train adds 2.2 units of fuel per mile and then,

Total consumption for 'N' number of railcars = 2.2N units of fuel per mile.

The fixed amount of fuel consumption = 12 units of fuel per mile.

The expression for fuel consumption per mile is given by:

f(N) = 12 + 2.2N

Hence, the expression for f(N) is 12 + 2.2N.

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The point (1 and 1/3, 2/3) on the Cartesian plane is given by the image shown at the end of the answer.

All the points on the coordinate map have a x-coordinate and an y-coordinate, and the format of the point is given by the relation as follows:

(x,y).

The meaning of each coordinate is given as follows:

The x-coordinate of the point in this problem is:

x = 1 and 1/3.

It is a mixed number, hence the decimal equivalent is of:

x = 1 + 1/3 = 1 + 0.33 = 1.33.

Meaning that the point is at an horizontal position that 1.33 units from the origin zero, that is, one point plus one third of the distance from one to two.

The y-coordinate is of:

y = 2/3.

Meaning that the vertical position of the point is 2/3 of the way from y = 0 to y = 1.

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The required angles are :

corresponding angles:  ∠7=∠5

alternate interior angles: ∠4 = ∠2 and∠3 = ∠1

alternate exterior angles: ∠7 = ∠6

same side interior angles: ∠7 = ∠8

alternate interior angles

alternate exterior angles

same side interior angles

Corresponding angles:

one that hold the same relative position as another angle somewhere in figure.

Alternate interior angles:

Alternate interior angles are the angles formed on the opposite sides of the transversal.

Alternate exterior angles:

Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.

Same side interior angles:

The theorem states that the same-side interior angles must be supplementary given the lines intersected by the transversal line are parallel.

corresponding angles:

∠7=∠5

alternate interior angles:

∠4 = ∠2

∠3 = ∠1

alternate exterior angles:

∠7 = ∠6

same side interior angles:

∠7 = ∠8

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In a post-anova planned comparison additional information increases the likelihood that the data may vary, leading to more degree of freedom.

The ANOVA test determines whether there is a general difference between the groups, but does not identify the precise groups that varied—only post hoc analyses do that.

Thus, the post-anova planned comparison makes use of a pooled estimate of data from more groups than just the number of studies whose means you intend comparing because more data increases the degree of freedom and the possibility that the data may change.

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a) The volume is (π/27)y³

b) the  volume is π -(π/27)(3 -h)³.

c) the rate at which the  sand in the lower cone is increasing  is  0.0116 inches per second

a) since we  know The volume of a cone is: V = 1/3πr²h, for the problem here we have h = y and r = y/3, so the volume is : (1/3)π(y/3)²(y) = (π/27)y³

b) Now, we know The empty volume of the lower cone is the same as the volume of the upper cone with y=3, so V = (π/27)(3³) = π , as the sand height is h in the lower cone, so the height of the empty space is (3-h), the volume of the empty space is : (π/27)(3-h)³ and the volume will be the difference between that and the cone volume: π -(π/27)(3 -h)³. c) since the ratio of rates of change in height will be inversely proportional to the surface areas of the sand in each section of the cone, the ratio will be proportional to the square of the distance from the sand surface to the cone tip. For the height of the sand in the lower cone of 1   inch high, its volume is: π -(π/27)(3 -1)³ = π -(8π/27) = 19π/27,  then the volume of the sand in the upper cone is: 3π/4 -19π/27 = 5π/108, the height of the sand in the upper cone is then

(π/27)h³ = π(5/108)

h³ = 5/4 ,h = ∛(5/4), the ratio of the  surface areas in the two cones are  The ratio of surface areas : (2 / ∛(5/4))²,  the rate of decrease is 4/100, rate of increase of sand in lower cone is  (4/100)/((2 / ∛(5/4))²)  =(∛12.5)/200 ≈ 0.0116

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By using Unitary method, it can be calculated that

An object whose mass is 10 kg weighs 90 N

What is unitary method?

Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity

Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.

Here, Unitary method will be used

The weight of an object varies directly with the mass of the object.

An object whose mass is 7 kg weighs 63 N

An object whose mass is 1 kg weighs [tex]\frac{63}{7}[/tex] N

An object whose mass is 1 kg weighs 9 N

An object whose mass is 10 kg weighs [tex]9 \times 10[/tex] = 90 N

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The company has 5280 employees and 264 supervisors as calculated using ratios.

The company has 3 supervisors for 60 employees.

Ratio of employees to supervisors = 60 : 3 = 20 : 1

So for 264 supervisors employees = 264 × 20 = 5280 employees.

Hence the company has 5280 employees.

An ordered pair of other integers, a fraction with the first number in the numerator and the second in the denominator, or the value this fraction denotes are all ways to conceptualize ratios.

Rational numbers, and occasionally natural numbers as well, are ratios of counts stated in terms of (non-zero) natural numbers. When two integers are compared with the same unit of measurement, which happens frequently, the ratio of the two integers is a dimensionless number.

A rate is created by multiplying two numbers with different unit measurements. Even though the values being compared are initially measured in separate units, ratios can still be unitless provided they relate quantities in the same dimension.

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If she mowed lawns for 13 hours and pulled weeds for 5 hours, then she earn $133 in September

The charges for mowing lawns = $6 per hour

The charges for pulling weeds = $11 per hour

Total number of hours that she mowed the lawn = 13 hours

Total number of hours that she pulled weeds = 5 hours

Total amount that she earned in September = (The charges for mowing lawns × Total number of hours that she mowed the lawn) + (The charges for pulling weeds × Total number of hours that she pulled weeds)

Substitute the values in the equation

6 × 13 + 11 × 5

= 78 + 55

= $133

Hence, the total amount that she earned in September is $133

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Because the corresponding sections of congruent triangles are congruent, you may use the Vertical Angles Congruence Theorem to demonstrate that ABC DEC. b. CAB CDE.

Triangle ABC is congruent to triangle DEF if in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D. In other words, if a triangle's third side matches the third side of another triangle's third side, the triangles are said to be congruent.

The side-angle-side (SAS) theorem is the first such theorem. The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle.

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Answer:

-----------------------------

The identity used to simplify from step 4 to step 5 is the definition of the cosecant function: cosecant x = 1/sine x.

The connections between the sides and angles of triangles are the subject of the mathematical discipline of trigonometry. It is founded on the principles of right triangles, that are right angles. We can use trigonometry to calculate the lengths of the sides of a right triangle given the lengths of some or all of the other sides. It also enables us to determine the angle's size in a right triangle given its side tangent. In various disciplines, such as engineering, physics, and astronomy, trigonometry is utilised to solve issues involving triangles and the characteristics of circles. It is also used in navigation and surveying to estimate distances and angles between sites.

How to solve?

This identity allows us to rewrite the expression 1/sine x as cosecant x. Therefore, in step 4 we have 1/sine x + cosine x/sine x, and in step 5 we have cosecant x + cosine x/sine x = cosecant x + cotangent x.

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Answer: Reciprocal Identity

Step-by-step explanation:

The number of sides in a circle is 0.

The number of angles in a circle is 0.

What is the Radius of a circle?

Any circular object's radius is the measurement from the center to its outermost border or boundary. A radius is a dimension that applies to spheres, semispheres, cones with circular bases, and cylinders with circular bases in addition to circles.

It is possible to define a circle as the locus of a point moving in a plane while maintaining a constant distance from a fixed point. The radius of a circle is the distance from any point on the circle to its center. The fixed point is referred to as the center of the circle.

The angle formed by any two-circle radii is known as the central angle. The arc length, or the distance between the two places where the two radii cross the circumference, and the radius length must be determined in order to determine the central angle.

So, we can say that:

Since a circle is made up of arcs, which form a continuous line that joins at both ends, it has no sides. The distance between each circle's component components and its center is equal. A side must have two angles, one on either side of the line, and a line.

Hence,

The number of sides in a circle is 0.

The number of angles in a circle is 0.

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The rational number that represents the average temperature change per hour is 28/6.

Any number that can be represented as the ratio of two integers and where the denominator is not zero is referred to as rational.

Given that, the temperature dropped from 21 degrees to -7 degrees over the course of 6 hours.

The change in temperature is:

21 - (-7)

= 21 + 7

= 28

The average temperature change per hour is:

28/6

Hence, the rational number that represents the average temperature change per hour is 28/6.

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Answer:

b=-14

Step-by-step explanation:

slope intercept form is y=mx+b

m- slope

b- y intercept

So just fill in what we know

-2=2(6)+b

-2=12+b

-12 -12

-14=b

Hopes this helps please mark brainliest

The countermeasures to avoid potential human errors are   Visual aids & work instructions, education and/or discipline, work standardization and discipline and TPM and skill building etc.

Many major accidents, such as Texas City, Piper Alpha, and Chernobyl, were caused by potential human error. Companies must manage human failure as rigorously as they manage technical and engineering measures to avoid accidents and illness.

There are several countermeasures for amateur or beginner mistakes. Potential human errors can be avoided by some measures including training, skill development, work standardisation, visual aids, and work instructions. Every human being makes mistakes, whether they are professional or not.

Thus, Visual aids and work instructions, education and/or discipline, work standardisation and discipline, TPM and skill building, and other counter measures are used to avoid potential human errors.

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For the given blank, a confidence interval is made from a range value to estimate the truth for a population parameters.

As given in the question,

Points required for a confidence interval are as follow:

To have information about the whole population,

Confidence interval = Sample mean ± Margin error.

Therefore, for the given blank, a confidence interval is made from a range value to estimate the truth for a population parameters.

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Numbers of ways to distribute 10 identical cards into 3 boxes is 36

Combination is is a way of selecting items from a collection where the order of selection does not matter.

Formula of combination:

Let a x-combination of a set is a subset of x distinct elements of S. If the set has n elements, the number of x-combinations is equal to the binomial coefficient.

ⁿCₓ = n(n-1)(n-2)(n-3). . . (n-x+1) / (x-1)(x-2)(x-3) . . . .(1)

which can be written as ⁿCₓ = n! / (n-x)! x!   , when n > x

ⁿCₓ = 0 , when n < x

Where n = distinct object to choose from

C = Combination

x = spaces to fill

According to the question,

Number of identical cards : n =10

Number of box cards are being distributed : x = 3

Number of ways to distribute when no condition is given : ⁿ⁺ˣ⁻¹Cₓ₋₁

If we place one one card in each box then

Number of cards left with us = 10 - 3

= 7

Now, condition of at least one cards in each box is satisfied ,

Then total number of ways to distribute 7 cards into 3 =  ⁷⁺³⁻¹C₃₋₁

=> ⁹C₂ = 9! / (9 - 2)! 2!

=>  9×8×7! / 7!2!

=> 9×8/2

=> 9×4

=>36 ways

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The perimeter of the polygon is  22 units.

What is the area of the polygon?

The area of a polygon is defined as the area enclosed by the polygon's boundary. In other words, the region occupied by any polygon determines its area. In this lesson, we will learn how to calculate polygon area and the difference between polygon perimeter and area in detail.

we know that

the perimeter of a polygon is the sum of the length sides

in this problem, we have five vertices

so the polygon has five sides

Let,

A(-1, 3)

B(−1, 6)

C(2, 10)

D(5, 6)

E(5, 3).

the perimeter is equal to

P = AB + BC + CD + DE + AE

The formula to calculate the distance between two points is equal to

d = √(y₂ - y₁)² + (x₂ - x₁)²

The distance of AB:

A(-1, 3)

B(−1, 6)

d = √(6 - 3)² + (-1 - (-1))²

d = √(3)² + (0)²

d = 3

The distance of BC:

B(−1, 6)

C(2, 10)

d = √(10 - 6)² + (2 - (-1))²

d = √(4)² + (3)²

d = 5

The distance of CD:

C(2, 10)

D(5, 6)

d = √(6 - 10)² + (5 - 2)²

d = 5

The distance of DE:

D(5, 6)

E(5, 3).

d = √(3 - 6)² + (5 - 5)²

d = 3

The distance of AE:

A(-1, 3)

E(5, 3)

d = √(3 - 3)² + (5 - (-1))²

d = 6

Find the perimeter

the perimeter is equal to

P = AB + BC + CD + DE + AE

P = 3+5+5+3+6

P = 22 units.

Hence, the perimeter of the polygon is  22 units.

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The p value is 0.0055 and it can be .concluded at a 0.01 level of significance that there is a linear correlation between the two variables

In statistics, correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data. Although the term "correlation" can apply to any sort of link, in statistics it usually refers to the degree to which two variables are linearly related. The association between the height of parents and their kids, as illustrated in the so-called demand curve, is an example of a dependent phenomenon.

Dependent variable :Distance

Independent variable :Weight

Distance=10.336482+0.34383484 weight

Sample size=24

Correlation coefficient(R)=0.54872231

Estimation error of standard deviation=8.5738353

Parameter estimates:

Parameter  Estimate      Std.Err        Alternative DF    T-Stat           P-value

Intercept     10.336482  9.7264272   ≠0              22  1.0627214     0.2994

Slope          0.34383484 0.11168494  ≠0             22   3.0786141     0.0055

From the above values in the table,

p-value=0.0055 which is less than 0.01.

So, the significant linear correlation exists between two variables.

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