There are 17 red and blue pens, among which r are red. How many are blue? Denote blue pens as b.
Answer:B=17-R
Step-by-step explanation:
I am not sure how to simplify this equation further. We know that B+R= 17 (pens) ---- so--- 17-R=B
change 23/3 into a mixed number. pls show the steps of how you got your answer.
Answer:
5/9
Step-by-step explanation:
no problem dude
Answer:
its 7 2/3
Step-by-step explanation: you divide 23 by 3 until i cant no more and then add the remaining over the 3 u divided it by
If events A and B are independent, what must be done to find the probability of event A AND B?
A. Multiply the probability of A and the probability of B.
B. Divide the probability of A and the probability of B.
C. Subtract the probability of A and the probability of B.
D. Add the probabilities of A and the probability of B.
The correct answer is A. When events A and B are independent, it means that the occurrence of one event does not affect the probability of the other event occurring.
In other words, the probability of A occurring does not depend on whether B occurs or not, and vice versa.
To find the probability of both A and B occurring, we need to use the multiplication rule of probability. The multiplication rule states that the probability of two independent events occurring together is equal to the product of their individual probabilities. That is, P(A and B) = P(A) × P(B).
For example, if the probability of event A occurring is 0.3 and the probability of event B occurring is 0.4, then the probability of both events occurring together is:
P(A and B) = P(A) × P(B) = 0.3 × 0.4 = 0.12
Therefore, to find the probability of event A AND B when events A and B are independent, we simply multiply the probability of A by the probability of B.
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The value of c in the perfect square trinomial x^2 + 10x + c can be determined by examining the entries in the 6-column table.
In the given table, the first column represents \(x^2\) and has entries x, x, x, x, x. The second column represents x and has missing entries, which we need to determine. The third, fourth, fifth, and sixth columns also have missing entries.
To find the value of c in the perfect square trinomial \(x^2\) + 10x + c, we need to complete the table and observe the entries in the second column. Since the first column represents \(x^2\), we can see that each entry is \(x^2\). Thus, the missing entries in the second column are x, x, x, x, x, respectively.
The perfect square trinomial \(x^2\) + 10x + c can be factored as \((x + 5)^2\), which expands to \(x^2\) + 10x + 25. Comparing this with the given expression, we can conclude that c = 25.
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Part A
13
25
Which decimal is equivalent to 4
A) 4.5
B) 4.52
C 4.52
D 4.525
Answer:
4.25
Step-by-step explanation:
Divide. Write your answer as a FRACTION in simplest form.
−7/10 ÷ 2/5
Step-by-step explanation:
-7/10 ÷ 2/5 = -7/10 x 5/2 = - 7/4
Answer:
your answer is
\(-\frac{7}{4}/\)
Un celular cuesta $ 3 360, ya con el 60% de descuento aplicado. ¿Cuánto cuesta el celular sin el descuento?
a) $ 5 600 b) $ 5 500 c) $ 5 650 d) $ 2 016
24.-Una laptop cuesta $ 12500, pero tiene un descuento del 25%, ¿Cuánto cuesta la laptop con el descuento incluido?
a) $ 9 573 b) $ 9 753 c) $ 9 375 d) $ 9 703
25.- En Copel hay un refrigerador que cuesta $18 270 con el IVA incluido. ¿cuál es el costo del refrigerador sin el IVA?
a) $ 15 750 b) $ 15 570 c) $ 15 705 d) $ 15 507
26.- En el salón de 6to. "C" de la Esc. Juan Escutia, 5 alumnos estaban comparando sus estaturas. Joaquín midió 1.6 m., Adriana un metro con sesenta y cuatro centímetros, Beto 1 metro 2/4, Maximiliano 168 centímetros y Eduardo 100 centímetros más 3/5 de metro, ¿quiénes tienen la misma estatura?
a) Maximiliano y Adriana. b) Joaquín y Maximiliano. c) Beto y Eduardo. d) Eduardo y Joaquín.
Answer:
b
Step-by-step explanation:
plato
there were x quarts of liquid in a con-tainer. first, 3 4 of the liquid in the container was removed. then another 1 2 quart was poured into the container. write an expression in terms of x for the number of quarts of liquid in the container at the end. then write another equivalent expres-sion.explain
The another equivalent expression of total liquid is (x+2)/4.
Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.
x quarts liquid in the container 3/4 part of liquid is removed
Then remaining liquid in container = X - \(\frac{3}{4}X\)
Then remaining liquid in container = x/4quarts
Another 1/2 quart is poured into container
Then total liquid = \(X-\frac{3}{4}X+\frac{1}{2}\) quarts
total liquid = \(\frac{X+2}{4}\) quarts
So, then the another equivalent expression of total liquid is (x+2)/4.
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A plane contains points and with . Let be the union of all disks of radius in the plane that cover . What is the area of
The area of the union of all disks of radius in the plane that cover the set can vary depending on the specific arrangement of points and the value of the radius . Without further information, it is not possible to determine the exact area.
To find the area of the union of all disks that cover the set , we need more information about the specific arrangement of points and the value of the radius . The area will depend on the positions of the points and how they are distributed in the plane. Additionally, the radius of the disks will determine the extent of coverage.
In general, the area of the union of disks covering a set can be computed by summing the areas of individual disks while accounting for any overlapping regions. However, without specific details about the set and the arrangement of points, it is not possible to provide a precise calculation for the area.
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In a survey of 118 randomly selected gun owners, it was found that 81 of them said they owned a gun primarily for protection.
Find the margin of error and 95% confidence interval for the percentage of all gun owners who would say that they own a gun primarily for protection. Report answers to at least 2 decimal places.
Margin of Error (as a percentage)
The margin of error is 0.086 and its C.I is (0.575 , 0.785).
What is margin of error?
Your results will vary from the actual population value by how many percentage points, as indicated by the margin of error. A 95% confidence interval with a 4% margin of error, for instance, indicates that your statistic will, 95% of the time, be within 4% of the true population figure.n = 117 , x =87
Point estimate for the proportion:
P = x/n
= 81/118
= 0.68644
Confidence = 95%, α = 0.05
From z-table area 0.975 close to z=1.96
Margin of error, E = 1.96 √((0.68*0.55)/130)
= 1.96 * 0.05363
= 0.105
= 0.086
Confidence = P ± E
= 0.68 ± 0.105
=(0.68-0.105 , 0.68+0.105)
= (0.575 , 0.785)
Hence, the margin of error is 0.086 and its C.I is (0.575 , 0.785).
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t) Consider the initial value problem y
′
+3y= ⎩
⎨
⎧
0 if 0≤t<1
11 if 1≤t<5
0 if 5≤t<[infinity], y(0)=7 a. Take the Laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. Denote the Laplace transform of y(t) by Y(s). Do not move any terms from one side of the equation to the other (until you get to part (b) below). = help (formulas) b. Solve your equation for Y(s). Y(s)=□{y(t)}= c. Take the inverse Laplace transform of both sides of the previous equation to solve for y(t). y(t)=
The laplace transform of y(t) by Y(s) is 7/s. the solution to the initial value problem is y(t) = 7 - 7e^(-3t) for 0 ≤ t < 1, y(t) = 11e^(-3(t-1)) for 1 ≤ t < 5, and
y(t) = 0 for t ≥ 5.
a) To find the Laplace transform of the given differential equation, we apply the transform to each term separately.
Let Y(s) denote the Laplace transform of y(t).
Using the linearity property of the Laplace transform, we have
sY(s) + 3Y(s) = 0 for 0 ≤ t < 1, and sY(s) + 3Y(s) = 11 for 1 ≤ t < 5.
The initial condition y(0) = 7 implies Y(s) = 7/s.
b) Solving the algebraic equations, we obtain
Y(s) = 7/s(s + 3) for 0 ≤ t < 1, and Y(s) = 11/(s + 3) for 1 ≤ t < 5.
c) Taking the inverse Laplace transform of Y(s), we find
y(t) = 7 - 7e^(-3t) for 0 ≤ t < 1, and
y(t) = 11e^(-3(t-1)) for 1 ≤ t < 5.
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write an expression with the same meaning as " 7 less than the square of a number
\(7 < {n}^{2} \)
2098320984029840294098-029382098442019832 divided by 9
Answer:
2.3314351132×\(10^{20}\)
Step-by-step explanation:
2098320984029840294098 - 029382098442019832 = 2.0982916019×\(10^{21}\)
2.0982916019×\(10^{21}\)/9 = 2.3314351132×\(10^{20}\)
(The / means division btw)
The library sponsors a chess club for members of all ages and skill levels. Currently, the ages of the members are 7, 9, 10, 11, 13, 14, 15, 16, 18, 19, 20, 21, and 22. The librarian uses a histogram to track the number of members in different age groups. For this situation, which is the appropriate way to label the age intervals on the x-axis?
Answer:
B. 7−10; 11−14; 15−18; 19−22
Step-by-step explanation:
What is the equation of the line that passes through the point (−6,2) and has a slope of -3/2
\(y = {x}^{2} + 4x - 12\)
what is the vertex and axis of symmetry for this?
Answer:
Vertex is (0,0)
Axis of Symmetry is 0
Step-by-step explanation:
A vertex is the highest or lowest point of the parabola where the curve ends. An axis of symmetry is what number (on the x-axis) the vertex is on. There is an invisible up and down dotted line that marks the axis of symmetry.
is a fraction a term? If it's not a term, why is it that we can apply the distributive property to it? the distributive property only works for either terms, or addition and subtraction. a fraction is technically division, so why does it work? Please help!!!!!
No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.
A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.
The distributive property states that for any real numbers a, b, and c:
a × (b + c) = (a × b) + (a × c).
When working with fractions, we can apply the distributive property as follows:
Let's consider the expression: a × (b/c).
We can rewrite this as: (a × b)/c.
Now, let's distribute the 'a' to 'b' and 'c':
(a × b)/c = (a/c) × b.
In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.
Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.
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Two angles in a triangle add up to 152 degrees.
what is the size of the third angle?
Answer:
28 degrees
Step-by-step explanation:
A triangle is 180 degrees. 180-152=28.
Answer:
The third angle is 28 degrees
Step-by-step explanation:
A triangle has to add up to 180 degrees so just take 180 subtract your 152 from it and you'll have your answer!. (180 - 152 = 28) Hope this helps! :)
Light A flashes every 8 seconds.
Light B flashes every 20 seconds.
Both lights flash at the same time.
Work out how long it will take for both lights to flash at the same time
again.
Answer:
40 seconds
Step-by-step explanation:
8 20
16 40
32
40
40 seconds
It will take 40seconds to both the lights to flash at the same time again.
What is Least common multiple?" Least common multiple is defined as the smallest common multiple of the given set of numbers."
According to the question,
Given ,
Time to flash Light A is every 8 seconds.
Time to flash Light B is every 20 seconds.
Condition given
Both the lights flash at the same time
Least common multiple (8, 20) = 40seconds
Light A flashes in
8seconds , 16seconds , 24seconds , 32seconds, 40seconds
Light B flashes in
20seconds , 40seconds
Hence, both the light flashes at the same time again is at 40seconds.
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Find the area of a circle with radius, r =
79cm.
Give your answer rounded to 3 SF.
Answer:
19600 cm^2
Step-by-step explanation:
Area of a circle = pi r^2 = pi 79^2 = 19606.67 = 19600 cm^2 (3 SF)
Chantel has 45 green balloons and 54 purple balloons to make into bunches for a school celebration.she wants each bunch to have the same number of each ballon.what is thr greatest numberof bunches chantel can make if she wants tobuse all of her balloons?how many purple balloons will she put in each bunch
Answer: greatest number of bunches using all balloon is 48, using purple ballon is 27
Step-by-step explanation:
Probability in the News: Soon after departing from Miami, Eastern Airlines Flight 855 had one engine shut down because of a low oil pressure warning light. As the L-1011 jet turned to Miami for landing, the low pressure warning lights for the other two engines also flashed. Then an engine failed, followed by the failure of the last working engine. The jet descended without power from 13,000 ft to 4,000 ft when the crew was able to restart one engine, and the 172 people on board landed safely. Since the jet engines are independent and their probability of failing is 0.0001, what is the chance of all 3 jet engines failing? __________
The chance of all three failing was so low, that the FAA did further investigation and found that the same mechanic who replaced the oil in all three engines forgot to replace the oil plug sealing rings. The use of a single mechanic caused
the operation of the engines to become dependent, a situation corrected by Eastern Airlines' new policy of requiring that the engines be serviced by different mechanics.
The chance of all three jet engines failing was extremely low, with a probability of 0.0001 for each engine. However, in the case of Eastern Airlines Flight 855, all three engines failed due to a maintenance error. The investigation revealed that a single mechanic had forgotten to replace the oil plug sealing rings in all three engines.
The probability of each jet engine failing independently is 0.0001, which means that the chance of any single engine failing is very low. However, in the case of Eastern Airlines Flight 855, all three engines failed. To understand this unlikely event, it was discovered that a maintenance error was the cause. The same mechanic who replaced the oil in all three engines had forgotten to replace the oil plug sealing rings.
This incident highlights the importance of maintenance procedures and the potential consequences of errors. By neglecting to replace the oil plug sealing rings, the mechanic unknowingly created a situation where the engines became dependent on each other. As a result, the low oil pressure warning lights were triggered for all three engines, and subsequent failures occurred.
To prevent similar incidents in the future, Eastern Airlines introduced a new policy requiring that engines be serviced by different mechanics. This change aims to eliminate the dependency between engines and reduce the risk of multiple failures. By distributing the maintenance responsibilities among different individuals, the airline can enhance safety measures and minimize the likelihood of such rare events occurring again.
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Consider this system of equations. Wich equation represents the first equation written in slope-intersept form? 5x-2y=10 y=1/4 x + 1
Answer:
y=1/4 x + 1
Step-by-step explanation:
y=mx+b
Two sides of a regular pentagon are produced to meet. Calculate the size of the new angle formed.
After answering the presented question, we can conclude that As a result, the new angle generated is 180 degrees - 108 degrees = 72 degrees.
what are angles?
An angle is a shape in Euclidean geometry made composed of two rays, known as the angle's sides, that meet in the middle at a point known as the angle's vertex. Two rays can produce an angle in the plane in which they are positioned. An angle is formed when two planes collide. These are known as dihedral angles. In planar geometry, an angle is a shape formed by two rays or lines that have a common termination. The English term "angle" comes from the Latin word "angulus," which means "horn." The vertex is the common terminal of the two rays, which are known as the angle's sides.
The total of a regular pentagon's internal angles is (5-2) x 180 degrees = 540 degrees.
Because a normal pentagon has five equal angles, each interior angle is 540 degrees / 5 = 108 degrees.
When two pentagon sides are stretched to meet, they produce a straight line and a supplementary angle with the neighboring internal angle.
Hence, As a result, the new angle generated is 180 degrees - 108 degrees = 72 degrees.
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Complete question:
Given a regular pentagon, if two sides of the pentagon are extended to meet, what is the measure of the angle formed at the intersection point?
please help with my math its 2 step multiplication and division
Answer: 5 paint sets
Step-by-step explanation:
if she has 10 students who need 3 paint jars each, she needs 30 paint jars total. if they come in sets of 6 jars, then divide 30 by 6. that equals 5, so the art teacher needs to buy 5 paint sets
Answer: 5
Step-by-step explanation: First we need to find how many jars of paint she needs. 10 3 times is 30. 10+10+10=30
Then we need to find out how many times 6 goes into 30
30 divided by 6 = 5
Have a good day! Hope this helped!
fill in the blank. anthony placed an advertisement for a new assistant on november 1. he hired marquis on december 1. his _______ was 30 days.
Anthony's "hiring process" or "recruitment period" was 30 days.
The blank can be filled with "hiring process" or "recruitment period" to indicate the duration between placing the advertisement for a new assistant on November 1 and hiring Marquis on December 1. This period represents the time it took Anthony to evaluate applicants, conduct interviews, and make the decision to hire Marquis.
The hiring process typically involves several steps, such as advertising the job opening, reviewing applications, conducting interviews, and finalizing the selection. The duration of this process can vary depending on various factors, including the number of applicants, the complexity of the position, and the efficiency of the hiring process.
In this case, the hiring process took 30 days, indicating the length of time it took for Anthony to complete the necessary steps and choose Marquis as the new assistant. This duration provides insight into the timeframe Anthony needed to assess candidates and make a hiring decision.
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Finding probabilities for the Chi-square distribution Question 12: Find P(Y<4.168) where Y follows a Chi-squared distribution with 9 df. Question 13: Find P(5.229
Question 12:
Given a Chi-squared distribution with 9 degrees of freedom, we need to find P(Y < 4.168).
Using software, we get P(Y ≤ 4.168) = 0.8538
Therefore, P(Y < 4.168) = 0.8538.
Question 13:
Given a Chi-squared distribution with 5 degrees of freedom,
we need to find P(5.229< Y < 15.086).
Using software, we get P(Y ≤ 15.086) = 0.9907
Similarly, P(Y ≤ 5.229) = 0.1289
Therefore, P(5.229< Y < 15.086) = P(Y ≤ 15.086) - P(Y ≤ 5.229)
= 0.9907 - 0.1289= 0.8618
Hence, P(5.229< Y < 15.086) = 0.8618.
Question 12: Given a Chi-squared distribution with 9 degrees of freedom, we need to find P(Y < 4.168).
Given, Chi-squared distribution with 9 degrees of freedom.
Degrees of freedom = 9
The cumulative probability distribution function of chi-square is:
P(Y ≤ y) = ∫(0, y) (1/2(n/2)) * (x^(n/2-1)) * e^(-x/2) dx
Where, y is the value of chi-square and n is the degrees of freedom of the chi-square distribution.
We have, P(Y < 4.168) = P(Y ≤ 4.168)
Let us put the values of y and n in the above formula:=>
P(Y ≤ y) = ∫(0, y) (1/2(n/2)) * (x^(n/2-1)) * e^(-x/2) dx=>
P(Y ≤ 4.168) = ∫(0, 4.168) (1/2(9/2)) * (x^(9/2-1)) * e^(-x/2) dx
Using software, we get P(Y ≤ 4.168) = 0.8538
Therefore, P(Y < 4.168) = 0.8538.
Question 13: Given a Chi-squared distribution with 5 degrees of freedom,
we need to find P(5.229< Y < 15.086).
Given, Chi-squared distribution with 5 degrees of freedom.
Degrees of freedom = 5
The cumulative probability distribution function of chi-square is:
P(Y ≤ y) = ∫(0, y) (1/2(n/2)) * (x^(n/2-1)) * e^(-x/2) dx
Where, y is the value of chi-square and n is the degrees of freedom of the chi-square distribution.
We have, P(5.229< Y < 15.086) = P(Y ≤ 15.086) - P(Y ≤ 5.229)
Let us put the values of y and n in the above formula:=>
P(Y ≤ y) = ∫(0, y) (1/2(n/2)) * (x^(n/2-1)) * e^(-x/2) dx=>
P(Y ≤ 15.086) = ∫(0, 15.086) (1/2(5/2)) * (x^(5/2-1)) * e^(-x/2) dx
Using software, we get P(Y ≤ 15.086) = 0.9907
Similarly, P(Y ≤ 5.229) = 0.1289
Therefore, P(5.229< Y < 15.086) = P(Y ≤ 15.086) - P(Y ≤ 5.229)
= 0.9907 - 0.1289= 0.8618
Hence, P(5.229< Y < 15.086) = 0.8618.
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The polynomial of degree 4, P ( x ) has a root of multiplicity 2 at x=1 and roots of multiplicity 1 at x=0 and x=-2. It goes through the point ( 5 , 224 ) . Find a formula for P ( x ) .
The formula for P(x) is \(0.4(x-1)^2(x)(x+2)\).
To start, we know that P(x) is a degree 4 polynomial, and we have information about its roots: it has a root of multiplicity 2 at x=1 and roots of multiplicity 1 at x=0 and x=-2. This means that we can write P(x) in factored form as:
\(P(x) = a(x-1)^2(x)(x+2)\)
where "a" is a constant that we still need to find.
We also know that P(x) goes through the point (5,224). This means that we can use this point to solve for "a" by plugging in the values of x and P(x):
\(224 = a(5-1)^2(5)(5+2)\)
Simplifying this equation, we get:
224 = 16a(5)(7)
224 = 560a
a = 224/560
a = 0.4
Now that we have found the value of "a", we can write the formula for P(x) by substituting it back into our factored form:
\(P(x) = 0.4(x-1)^2(x)(x+2)\)
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a. The Figure shows the coefficient matrix of a discretized reservoir by blockcentered grids where the non-zero elements are indicated by x position, while zero elements are left blank. Draw this discretized reservoir using the standard ordering.
Unfortunately, I am unable to directly interpret or visualize figures or images. However, I can provide you with a general explanation. In a discretized reservoir using block-centered grids, the standard ordering refers to the arrangement of grid cells or blocks in a particular pattern.
This pattern is often used to establish the connectivity and adjacency relationships between the cells in the reservoir model. Typically, the standard ordering arranges the grid cells in a sequential manner, starting from the top-left corner and moving row by row. Each grid cell represents a discrete volume or unit in the reservoir. The non-zero elements, indicated by the "x" positions in the coefficient matrix, would correspond to the active or connected cells within the reservoir model. These active cells are the ones that contribute to fluid flow and other reservoir properties. To visualize the discretized reservoir using the standard ordering, you would need to refer to the coefficient matrix and determine the dimensions of the reservoir model, such as the number of rows and columns. Then, starting from the top-left corner, you can represent each active cell or block using a graphical representation, such as a square or rectangle, in a sequential manner based on the standard ordering. This way, you can construct a visual representation of the discretized reservoir model.
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please help me?
John has $13. She saves $3 every day. How many days will it take John to save $28?
Answer:5 days
Step-by-step explanation:
13+3=16
16+3=19
19+3=22
22+3=25
25+3=28
how to know if a function has a vertical asymptote
To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.
A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:
Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.
Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.
For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.
In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.
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