The maximum power of the variable present in the equation is equal to the degree of the polynomial. The variable in this case is x, and the term 4x2 has x to its maximum power of 2.
How do you find the degree of a polynomial?The largest of the degrees of the separate terms is the degree of a polynomial. To determine the degree of the polynomial, add the degrees of each term's variables. Degrees for terms one and two are two (1+1=2), six (2+4=6), and seven (5+2=7) respectively. The polynomial's degree is 7, thus.A polynomial function with a degree of 7 is known as a septic function (also known as a 7th degree polynomial). A "degree" is just the number of the highest exponent. x7 - 3x6 - 7x4 + 21x3 - 8x + 24.A polynomial can be divided into four categories according to its degree. Zero polynomial, linear polynomial, quadratic polynomial, and cubic polynomial are some examples.To learn more about variable refer to:
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A chef used 0.28 pounds of flour to make a batch of chicken nuggets. If he has used 1/7th of the pack of flour, what is the weight of the pack?
(PLEASE SHOW WORK)
The weight of the flour pack used by the chef to make chicken nuggets is 0.04 pounds.
what is the weight of the pack?Quantity of flour used to make chicken nuggets by the chef = 0.28 pounds
If the chef used 1/7th of the pack of flour;
Quantity of flour used by the chef = 1/7 of 0.28 pounds
= 1/7 × 0.28
= 0.04 pounds
Therefore, the chef used 0.04 poundsof the flour pack
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What are the three types of solutions to any system of two equations?
There are three ways to solve systems of linear equations in two variables graphing ,substitution method ,elimination method.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
What makes an equation linear?
When a linear equation is graphed, it always produces a straight line since each term in the equation has an exponent of 1. This is the basis for the term "linear equation" being used to describe it.
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Pls tell me how to solve this question ASAP
A road map of Hamilton has a scale of 1 cm: 0.5 km. If Birch Avenue is 3.2 cm long on the map, what is the actual length of the street.
Answer:
The scale of the map is 1 cm: 0.5 km, which means that 1 cm on the map represents 0.5 km in real life.
If Birch Avenue is 3.2 cm long on the map, we can use this scale to find the actual length of the street. To do this, we can multiply the length of the street on the map (3.2 cm) by the scale factor (0.5 km/cm).
3.2 cm * 0.5 km/cm = 1.6 km
So, the actual length of the Birch Avenue is 1.6 km.
Mariah needed to order her senior pictures. She made a
list of all the people she wanted to give a picture to. She
needed an 8 x 10 for her parents, two 5 x 7s for each of
her grandparents, fi ve 3 x 5s for her aunts and uncles,
and 32 wallet-size pictures for her friends. The photo
company charges $12.00 for each sheet of pictures. An 8
x 10 is a whole sheet, two 5 x 7s can fit on one sheet,
three 3 x 5s fi t on a sheet, and 16 wallet-size pictures fi t
on a sheet. How much money will she pay for pictures?
3. Line up a plan of action
4. Verify Your plan of action
A plan with sufficient specifics to carry out a task or goal is called an action plan.
What is a plan of action?An action plan is a document used in project management that outlines the activities to take in order to accomplish the project's goals and objectives. Therefore, an action plan specifies the resources you'll need to achieve those goals, creates a timeframe for the tasks or action items, and establishes the team members you'll need to complete it all.
An action plan is a detailed checklist of the steps and materials required to finish a project or reach a goal. It can be viewed as a visual countdown to project completion or a list of tasks necessary to produce desired results.
A plan with sufficient specifics to accomplish a task or goal is called an action plan.
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graph the parabola f(x)= -1/2(x-2)^2 -4
Answe
Step-by-step explanation:
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options.
m∠5 + m∠3 = m∠4
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
Answer:
a d e
Step-by-step explanation:
Find AD PLEASE HELP ME
Applying the triangle proportionality theorem, the length of AD that will make DE║AB is: AD = 60.
How to Apply the Triangle Proportionality Theorem?According to the triangle proportionality theorem, the equation or proportion we can create to find x is expressed as:
(2x - 4) / 5x = 3x / 8x
Cross multiply:
8x(2x - 4) = (3x)(5x)
16x² - 32x = 15x²
x² - 32x = 0
Solve to find x by factoring:
The equation x² - 32x = 0 can be solved by factoring:
x(x - 32) = 0
So either x = 0 or x - 32 = 0, meaning x = 32.
The solutions to the equation are x = 0 and x = 32.
Using x = 32:
AD = 2x - 4 = 2(32) - 4
AD = 60
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The measure of ∠1 is 121°. What is the measure of ∠G ?
Answer:
∠ G = 59°
Step-by-step explanation:
angles 1 and G are a linear pair and sum to 180° , that is
∠ 1 + ∠ G = 180°
121° + ∠ G = 180° ( subtract 121° from both sides )
∠ G = 59°
Rob says all numbers have an even number of factors Enrique says some numbers have an odd number of factors who is correct
Enrique's statement some numbers have an odd number of factors is correct
How to verify Enrique's statementRob's statement was that the factors of a number is always an even number, while Enrique's admitted that odd number can be involved
A factor refers to a number that divides another number without remainder.
The statement can be verified by finding a number that will have both odd and even factors.
Let the number be 40
factors of 40 : 1, 2, 4, 5, 8, 10, 20 and 40.
5 is and odd number and 8 is even number and 5 * 8 = 40
Because of this, it is right to say that Enrique is correct
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Which inequality is true?
A number line going from negative 1 to 1.
A.One-half less-than one-third
B.Three-fourths greater-than two-thirds
C.Negative one-fourth less-than negative two-thirds
D.Negative 1 greater-than three-fourths
The inequality that is true is option D. Negative 1 greater-than three-fourths
What is an inequality?An inequality is a statement in which two expressions or values are not equal to each other, but have a certain relationship, such as 3 + 4 > 7 or x + y < z. Inequalities can be represented by different symbols, such as <, >, ≤, ≥, ≠ which denotes "less than", "greater than", "less than or equal to", "greater than or equal to", and "not equal to" respectively
An equality, on the other hand, is a statement in which two expressions or values are equal to each other, such as 3 + 4 = 7 or x + y = z. It is represented by the symbol "=".
Therefore, the correct answer is as given above
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Two teams A & B participated in a competition. 2 points were awarded for every goal and 1 point is deducted as a penalty for foul. If team A did 13 goals and 5 penalties and team and by how much? B scored 18 goals and 12 penalties, who won the competition.
Team A won the competition by a narrow margin of 13 points.
What is points in math?Points in math are locations in the coordinate plane that can be described by an ordered pair of numbers. Points are often used to graph equations, draw diagrams, and find the solution to problems. Points can also be used to measure distances, angles, and other geometric objects. Points are an essential part of geometry, algebra, and other math topics.
Team A scored 13 goals and incurred 5 penalties, giving them a total of 8 points. On the other hand, team B scored 18 goals and incurred 12 penalties, giving them a total of 6 points. Therefore, team A won by a difference of 8-6=2 points.
It is important to note that any competition should be based upon fair play and sportsmanship. Foul play should not be allowed and all teams should be equally and fairly judged. Furthermore, proper rules and regulations should be implemented to ensure a fair and level playing field. The competition between teams A and B was a good example of how a competition should be conducted in a fair manner.
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Multiple Choice: Which interval on the graph below is increasing?
An interval on the graph above that is increasing include the following: B. -2 < x < 2.
What is an increasing function?For any given function, y = f(x), if the output value (range) is increasing when the input value (domain) is increased, then, the function is generally referred to as an increasing function.
On the other hand (conversely), if the output value (range) is decreasing when the input value (domain) is increased, then, the function is generally referred to as a decreasing function.
By critically observing the graph above, we can reasonably infer and logically deduce that it is increasing over the interval -2 < x < 2.
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Write the following areas in ascending order: 0.004 m² 41 cm² 420 mm² 3.7 cm²
The areas in ascending order are: 0.004 m² (or 40 cm²), 3.7 cm², 41 cm², and 420 mm² (or 0.42 cm²).
What is an ascending order?
Ascending order is the arrangement of a set of numbers or data in a sequence from smallest to largest. It is a way of organizing data in increasing numerical or alphabetical order. For example, the numbers 1, 2, 3, 4, 5 in ascending order is a sequence where each number is greater than the previous one. Similarly, arranging words in alphabetical order from A to Z is also an example of ascending order.
The areas in ascending order are:
0.004 m² = 40 cm²
3.7 cm²
41 cm²
420 mm² = 0.42 cm²
So, the areas in ascending order are: 0.004 m² (or 40 cm²), 3.7 cm², 41 cm², and 420 mm² (or 0.42 cm²).
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An initial population of 580 quail increases at an annual rate of 17%. Write an exponential function to model
the quail population.
a. Fx) - (580 - 0. 17)"
c. F(x) - 580(17)
b. Rx) - 580(1. 17)*
d. F(x) - 580(0. 17)
y=580(1.17)ˣ is the exponential equation used to model the quail population.
What is exponential function?The mathematical expression f(x)=exp or ex denotes the exponential function. The term, unless specifically stated otherwise, generally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras. A mathematical function with the following form is an exponential function: Where x is a variable and an is a constant known as the function's base, the formula is f (x) = an x. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently encountered.
Here,
Aο=580
r%=17%
r=0.17
y=Aο(1+r)ˣ
y=580(1+0.17)ˣ
y=580(1.17)ˣ
The exponential model to model the quail population is y=580(1.17)ˣ.
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How do you simplify y=23x+68?
The simplest form of the equation, y = 23x + 68, is the same equation of y = 23x + 68, as this is the simplest form.
How to simplify the equation ?y = 23x + 68 is a linear equation that it in the slope - intercept form which means that there is no need to simplify it further.
The slope - intercept form is:
y = mx + b
Where:
m = slope of the line
b = y - intercept of the line
The equation shows that the slope is 23 and that the y - intercept is 68. This means therefore , that the equation is as simple as it can be.
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Work out the volume of this prism. 11cm 19cm 15cm 14cm 11cm The diagram is not drawn to scale.
The volume of this prism is 3150 cm³.
How to find the volume of the prism?step1:
given 11cm, 19cm, 14cm, 11cm
To find: volume of given prism
the given prism is combination two prism
Triangular prism
cuboidal prism
volume of cuboidal prism =l*b*h
=(15*14*11) cm^3
=2310cm^3
step2:
volume of triangular prism=1/2*l*b*h
=1/2*15*8*14
=840cm^3
step3:
volume of given prism=volume of cuboid + volume of triangular prism
=(2310+840)cm^3
=3150cm^3
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What is the distance between two ends?
The distance between any two points is represented by the length of the line segment separating them. The two locations are connected by a solitary line.
What is the distance between the two ends?The length of the line segment connecting any two points represents the distance between them.
There is just one line that connects the two places.
Therefore, by measuring the length of the line segment that connects the two sites, the distance between them may be determined.
The length of the line segment is the separation between two points.
Congruent segments are those that are the same length.
By using a ruler to construct a line, we may determine how far apart two points are from one another.
Therefore, the distance between any two points is represented by the length of the line segment separating them. The two locations are connected by a solitary line.
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A spinner is divided into 8 equal regions, numbered 9 through 16. An arrow is spun and lands on one of the numbers. What are the odds of the arrow landing on a number that is greater than 15?
A.
0.625
B.
0.875
C.
0.375
D.
0.125
D.0.125
What is probability?
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.
Step by Step Exlaination:
A spinner is divided into 8 parts.
Numbered as 9 to 16.
S={9,10,11,12,13,14,15,16}
n(S)=8.
A:probability of getting reater than 15.
A={16}
m(A)=1
p(A)=m(A)/n(S).
= 1/8.
=0.125
p(A)=0.125
Probability of getting greater than 15 is 0.125
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Suppose that Amanda raises chickens whose eggs have a mean weight of 57 grams and a
standard deviation of 6 grams. Her friend Bernardo also raises chickens, and their eggs have a
mean weight of 54 grams and a standard deviation of 8 grams.
They decide to have a contest where they'll each randomly select 60 of their eggs, calculate the
mean weight, and look at the difference between their sample means (A - TB).
What are the mean and standard deviation (in grams) of the sampling distribution of TA - TB?
Answer:
The expert answer is incorrect. Here's the correct answer.
Step-by-step explanation:
In the figure below, o ll k . Find the values of x and z .
Answer:
x = 110°, z = 32°
Step-by-step explanation:
x + 70 = 180 (Exterior angles)
x = 110
4z - 58 + 110 = 180 ( Linear pair)
4z = 128
z = 32
Pls mark as brainliest if possible and cheers!
Answer:yo mom
Step-by-step explanation:
I need help please!!!
Evaluating The function
f(x) = 8x - 3 ;
f(0) = -3
f(4) = 29
f(-4) = -35
f(2) = 13
f(-3) = -27
What is Function ?Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The whole set of values that the function's output can produce is referred to as the range. The collection of values that might result in a function's outputs is known as the co-domain.
The function
f(x) = 8x - 3
Evaluating
f(0) = 8 *0 - 3 = -3
f(4) = 8*4 -3 = 29
f(-4) = 8*(-4) -3 = -35
f(2) = 8*2 - 3 = 13
f(-3) = 8(-3) -3 = -27
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The polynomial is missing the coefficient of the third and last terms.
8x³ - 144x²y + __xy²-__y^3
In order to be factorable using the binomial theorem, the coefficient of xy² is
and the coefficient of y3 is __
Answer:
coefficient of xy^2 is : 864 and that of y^3 is 1728
Step-by-step explanation:
Using binomial theorem,
1st term is 1 (ax)^3 = 8x^3 from which a = 2
2nd term is 3(ax)^2(by) = -144x^2y from which b = -12
3rd term is 3(ax)(by)^2 = 3(2x)(-12y)^2 = 864
4th term is 1(by)^3 = 1(-12y)^3 = -1728y^3
What is the formula for side opposite to 60 degree?
The side that is opposite to the 60° angle, BC = y × √3 = y√3 will be the medium length.
What is angle ?
An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
A 30-60-90 triangle is a special triangle since the length of its sides is always in a consistent relationship with one another.
In the below-given 30-60-90 triangle ABC, ∠ C = 30°,∠ A = 60°, and ∠ B = 90°. We can understand the relationship between each of the sides from the below definitions:
The side that is opposite to the 30° angle, AB = y will always be the smallest since 30° is the smallest angle in this triangle
The side that is opposite to the 60° angle, BC = y × √3 = y√3 will be the medium length because 60° is the mid-sized degree angle in this triangle
On the side that is opposite to the 90° angle, the hypotenuse AC = 2y will be the largest side because 90° is the largest angle.
The side that is opposite to the 60° angle, BC = y × √3 = y√3 will be the medium length.
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What is the domain of the function graphed below?
(-∞,5)
(0,3)
[0, ∞)
(-∞,5]
The domain of the graph is D)(-∞,5].
What is domain of the function?
Domain is the set that contains all possible input values for the function. In a graph, it is given by the values of x.The collection of all potential inputs for a function is known as its domain. For instance, the domain of f(x)=[tex]x^2[/tex] and g(x)=1/x are all real integers with the exception of x=0.
In given graph we can observe horizontal extent of the graph is -∝ to 5. Then the domain of the graph is (-∞,5].
Thus the domain of the graph is D)(-∞,5].
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Really need help asap on this one
a) 7x
b) 2a + 6b
c) -3b + 7d + 3bd
d) 7ab - 2ac - c
e) 16a + 6
f) 26x - 2
g) 4b + 1
h) -5j - 10
i) 2g + 7
(100 Points)
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.
The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.
(1, 4), (2, 8), (3, 16), (4, 32)
Part A: Is this data modeling a linear function or an exponential function? Explain your answer. (2 points)
Part B: Write a function to represent the data. Show your work. (4 points)
Part C: Determine the average rate of change between station 2 and station 4. Show your work. (4 points)
In the given geometric sequences, it is found that:
A. As the quotient between consecutive terms is the same, the data is a geometric sequence.
B. The recursive formula is:
f(n) = f(n-1)* 2 ^n-1, f(1) = 2
C. She will need a time of 1024 units to complete the 10th station.
What is the difference between arithmetic and geometric sequence?When two consecutive words in a sequence have the same difference, the sequence is said to be arithmetic. The sequence is geometric if the quotient between related terms is the same.
For item a:
When x increases by 1, y is multiplied by 2, hence, as the quotient between consecutive terms is the same, the data is a geometric sequence.
For Item b:
The recursive formula for a geometric sequence with a common ratio and the first term is given by:
f(n) = f(n-1)* q ^n-1, f(1) = a
for our case
f(n) = f(n-1)* 2 ^n-1, f(1) = 2
For Item c:
The explicit formula for a geometric sequence with a common ratio and the first term is given by:
an = a1 q^n-1
Hence, in this question:
an = 2(2)^n-1 = 2^n
For the 10th station:
a10 = 2 = 1024
Therefore, She will need a time of 1024 units to complete the 10th station.
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what is the null hypothesis in words? group of answer choices the (population) mean amount of time reading and sending e-mails daily is greater than 60 minutes. the (population) mean amount of time reading and sending e-mails daily is equal to 60 minutes the (sample) mean amount of time reading and sending e-mails daily is equal to 60 minutes. the (sample) mean amount of time reading and sending e-mails daily is greater than 60 minutes.
The null hypothesis is a common statistical theory that contends that there is no statistically significant association between any two sets of a single observed variable.
The hypothesis suggests no two given sets make any significance meaning until and unless they are proven wrong.
As given in the example,
The group of answer choices the (population) mean amount of time reading and sending e-mails daily is greater than 60 minutes and the (population) mean amount of time reading and sending e-mails daily is equal to 60 minutes.
You can see in one set the amount of reading and sending e-mails is more than 60 minutes and in other one the amount of time reading and sending e-mails is equal to 60 minutes which doesn't make any sense if you consider them both in a single set of information.
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What is distance Class 4?
The physical distance they need to travel to get to school, or the distance they need to measure in math class.
Distance for a student of Class 4 would likely refer to the physical distance they need to travel to get to school, or the distance they need to measure in math class. Without more context, it is difficult to provide a specific answer.
In mathematics, distance refers to the measurement of the difference between two points in a space or a geometric figure. It can be represented by a numerical value and is often used to determine the shortest path between two points. The most common distance formula used in Euclidean geometry is the distance between two points (x1, y1) and (x2, y2) is the square root of ((x2 - x1)^2 + (y2 - y1)^2). This is known as the Euclidean distance.
Therefore, The physical distance they need to travel to get to school, or the distance they need to measure in math class.
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Solve the inequalities:
(x-4)(x-1)>0
The solution for the inequality is x∈(-∞,4)U(1,+∞)
What is inequality?
Inequality is a statement that compares two values and states that one value is greater than, less than, or not equal to the other value.
To solve the inequality (x-4)(x-1)>0, we can first factor it:
(x-4)(x-1)>0
We can then use the Zero Product Property, which states that if the product of two factors is equal to zero, then at least one of the factors must be equal to zero.
So we get:
x-4=0 or x-1=0
x = 4 or x = 1
Now we will test the sign of inequality for x-4 and x-1.
x<4 or x>1
Hence, the solution for the inequality is x∈(-∞,4)U(1,+∞)
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How do you graph a quadratic form?
The Graph of quadratic functions gives parabolas that are U-shaped, and wide or narrow depending upon the coefficients of the function.
The graph of quadratic functions is a technique to study the nature of the quadratic functions graphically. The shape of the parabola is determined by the coefficient 'a' of the quadratic function f(x) = ax2 + bx + c, where a, b, c are real numbers and a ≠ 0.
the vertex of a quadratic function is. [tex]f(x)=a(x-h)^2+k, where (h,k)[/tex] is the vertex of parabola. When a>0 then function will be open upward if a<0 then function will be opens downward.
Steps to plot graph of quadratic function.
a[tex]x^2[/tex] is imply a vertical scaling of the parabola, if a<0 the parabola will also flip its mouth from the positive to negative side.
[tex]a(x+\frac{b}{2a} )^2[/tex] This is a horizontal shift of magnitude |[tex]\frac{b}{2a}[/tex]| units. The direction of the shift will be decided by the sign of b/2a. The new vertex of the parabola will be at (-b/2a,0).
This transformation is a vertical shift of magnitude |[tex]\frac{D}{4a}[/tex]| units. The direction of the shift will be decided by the sign of [tex]\frac{D}{4a}[/tex]. The final vertex of the parabola will be at ([tex]\frac{-b}{2a} ,\frac{-D}{4a}[/tex]).
So, The Graph of quadratic functions gives parabolas that are U-shaped, and wide or narrow depending upon the coefficients of the function.
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