Your question is incomplete but it could be this,
You can work no more than 60 hours each week at your two jobs. Dog walking pays $7 per hour and your sales job at Computers & More, Inc. pays $12 per hour. You need to earn at least $450 each week to pay your bills. Your friend solves the system of inequalities x + y < 60 and 7x + 12y > 450 and tells you that a possible solution is (-3, 50). Is this a possible solution, why or why not?
No, (-3, 50) is not a possible solution to the system of inequalities x + y < 60 and 7x + 12y > 450. The first inequality, x + y < 60, represents the constraint that the total number of hours you work at both jobs must be less than 60. The second inequality, 7x + 12y > 450, represents the constraint that the total amount of money you earn must be at least $450.
The solution (-3, 50) does not satisfy either of these constraints. The value of y, 50, represents the number of hours you work at the sales job, and is greater than the maximum value allowed by the first inequality. Additionally, the value of x, -3, represents the number of hours you work dog walking, which is negative. This is not possible, as you cannot work negative hours. Therefore, (-3, 50) is not a valid solution to the system of inequalities.
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Pls help and explain
Answer:
$48/4 pizzas
Step-by-step explanation:
⭐ A ratio is a fraction that relates one variable to another.
⭐ A proportion is when you make two ratios equal to each other to solve for one of the variables.
We want to find what it costs for Mike to buy 4 pizzas. To achieve this, we must make a proportion.
The first ratio we are given is $12/1 pizza, which means that it costs $12 for 1 pizza.The ratio for Mike buying 4 pizzas is x/4 pizzas, where x is the cost of buying 4 pizzas.Set these two ratios equal to each other and solve for x. *remember: keep the numerators and denominators the same units.[tex]\frac{12}{1 pizza} = \frac{x}{4 pizzas}[/tex]Multiply both sides of the equal sign by 4 to isolate the variable x.[tex]\frac{12}{1 pizza} (4) = \frac{x}{4 pizzas} (4)[/tex][tex]48 = x[/tex]∴ It costs Mike $48 for 4 pizzas.Now we need to write the ratio of cost to pizzas for buying 4 pizzas.$48/4 pizzasWhich would cost more: 15 trips to Boston or 11 trips to New York? Explain
Answer:
I think 11 trips to New York because it's a popular tourist attraction.
Solve the system of linear equations by substitution.
x=17-4y
y=x-2
Answer:
Step-by-step explanation
In the first equation
x=17-4y
In the second equation
We clear "x"
y=x-2
x=y+2
We ecuate "x"
x=17-4y=y+2
17-4y=y+2
15=5y
y=3
we substitute to find "x"
x=17-4y=17-4(3)=5
Can two equilateral triangles always be congruent Is it true or false?
6. From the menu, select the correct
approximation.
If the expression
√24 × √10
represents the area of a rectangle, then
the approximate area of the rectangle is
60 square units
15 square units
8 square units
120 square units
The approximate area of the rectangle as per the options will be equal to 15 square units. Hence, option B is correct.
What is area?An object's area is how much space it takes up in two dimensions. It is the measurement of the amount of unit squares which completely encompass the surface of a compact figure.
The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.
As per the given information in the question,
Let the length is given as, l = √24 and,
The width is given as, w = √10
Use the formula of area of rectangle,
A = lw
A = √24 × √10
A = 4.89 × 3.16
A = 15.45 ≈ 15 square units.
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The matrix below is named E. Create a matrix that is 5E. Now what is the element
at e12?
4 -6 -7
12 3 4
five plus eight times nine
Which way is negative infinity?
Negative infinity is a concept that has no direction and function. It is the lowest possible number and is represented by the symbol "-∞".
Negative infinity is the lowest possible number, meaning there is no lower number than negative infinity. It is a concept that has no direction, meaning it is not a specific point on a number line. It is represented by the symbol "-∞", which can be thought of as a point before the beginning of the number line. Negative infinity is an abstract concept, but it is still used in mathematical operations. For example, if you have a set of numbers that contains negative infinity, then the sum of all the numbers in the set will be negative infinity. This is because negative infinity is the lowest possible number, so no matter how large the other numbers in the set are, the sum will always be lower than all of them.Negative infinity can also be used to represent undefined limits. For example, if you are looking at a graph of a function, and the y-axis goes to negative infinity, then the limit of the function at that point is undefined. This is because there is no lower number than negative infinity, so the limit cannot be determined.Negative infinity is a concept that can be confusing, but it is an important part of mathematics. It is used to represent the lowest possible number, as well as undefined limits. It is represented by the symbol "-∞" and has no direction.
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Hodor combines 3 quarts of a 5% sugar solution and 2 quarts of an 8% sugar solution. How many additional quarts of a 12% sugar solution must be added to make a 10% sugar solution?
Katie needs 9.5 quartz of the 12% sugar solution to make the 10% sugar solution.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The volume of the 12% sugar solution required, 'X' for a given volume of the 8% sugar solution, 'Y' is;
X = (2·Y + 15)/2
When the volume of the 8% sugar solution, Y = 2 quartz, the volume of the 12% sugar solution required, X = 9.5 gallons
The data of the sugar solutions are;
The volume of 5% sugar solution Kate has = 3 quarts
The volume of the 12% sugar solution = X
Let 'Y' represent the volume of the 8% sugar solution, we have;
The volume of the resultant solution, Z = X + Y + 3
The concentration of the resultant solution = 10%
0.05 × 3 + 0.08·Y + 0.12·X = 0.1·(X + Y + 3)
Solving gives the relationship between the volume of the 12% sugar solution, 'X', and the 8% sugar solution, 'Y' in quartz, as follows;
X = (2·Y + 15)/2
When the volume of the 8% sugar solution, Y = 2 quartz, we have;
X = (2 × 2 + 15)/2 = 9.5 Quartz
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Rewrite the equation using completing the square.
Answer: 8*8=64
6*6*=216
64-216+21=0
Step-by-step explanation:
Is AAA a triangle congruence theorem?
A triangle AAA does not satisfy congruence theorem. Triangle denoted by AAA refers a triangle having three equal side lengths and three equal angles.
what is congruence theorem?Congruence theorem is developed based on two triangles which have equal corresponding side lengths and equal corresponding angles.
what are the criteria for satisfying congruence theorem?there are four criteria in where one or more criteria needed to satisfy. if two triangles have all three equal side lengths and equal corresponding angles then they satisfy congruence theorem. if two triangles have 2 equal side lengths and angle between sides are equal, they satisfy congruence theorem. If two triangles have equal two angles along
with equal similar side length, they satisfy congruence theorem.
hence, the triangle mentioned in the question is not congruent.
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Answer:
FALSE
Step-by-step explanation:
The angles can be the same, but the lengths of the sides can differ.
Write the equation of the line that passes through the points (-9,-9) and (−8,1).
Answer: slope= change in y-intercept and x-intercept
Step-by-step explanation:
1-9=-8
-8- -9=1
-8/1=-8
Need help with this question. Please !!!!!
The required coordinates of point B are (2, 3) which is the correct answer would be option (C).
To find the coordinates of point B, we can use the midpoint formula.
The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) are given by the formula (x₁ + x₂)/2, (y₁ + y₂)/2.
As per the question, we are given the coordinates of points A and O, which are (4, 5) and (3, 4), respectively.
We can use these coordinates to find the coordinates of point B, which is the midpoint of line segment AO.
Let the coordinates of B would be (x, y)
Substituting the coordinates of points A and O into the midpoint formula gives us :
3 = (x+4)/2 ; 4 = (y+5)/2
6 = x +4; 8 = y + 5
x = 2; y = 3
Therefore, the required coordinates of point B are (2, 3).
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A guy wire runs from the top of a cell tower to a metal stake in the ground. Sophia places a 11-foot tall pole to support the guy wire. After placing the pole, sophia measures the distance from the stake to the pole to be 4 ft. She then measures the distance from the pole to the tower to be 32 ft. Find the length of the guy wire, to the nearest foot.
The length of the guy wire, to the nearest foot, is 201 ft.
Refer to the diagram attached below for the given information
We have two similar right triangles, ΔABE and ΔCDE.
CD = 11 ft
DE = 4 ft
BD = 32 ft
Length of the guy wire (AE)
Since ΔABE ~ ΔCDE, therefore,
AB/CD = BE/DE (proportional sides)
Plug in the values:
AB/11 = (32 + 4)/2
AB/11 = 36/2
Cross multiply:
AB = (36 × 11)/2
AB = 198 ft
Apply Pythagorean Theorem to find AE:
AE = √(AB² + BE²)
AE = √(198² + 36²)
AE = 201 ft (nearest foot)
Therefore, the length of the guy wire, to the nearest foot is 201 ft.
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We have two similar right triangles, ΔABE and ΔCDE.
CD = 11 ft
DE = 4 ft
BD = 32 ft
Length of the guy wire (AE)
Since ΔABE ~ ΔCDE, therefore,
AB/CD = BE/DE (proportional sides)
AB/11 = (32 + 4)/2
AB/11 = 36/2
AB = (36 × 11)/2
AB = 198 ft
AE = √(AB² + BE²)
AE = √(198² + 36²)
AE = 201 ft (nearest foot)
what is the weekly average proportion of opposed feeling? group of answer choices 0.225 0.025 none of the above 0.125 0.200
The weekly average proportion of opposed feeling is 0.0375. (Option D)
A sample proportion is the proportion of individuals in a sample who have a particular characteristic of interest. It refers to the number of successes (success means that an individual possesses the characteristic of interest) of the sample divided by the sample size. According to the provided data, the number of successes in the sample size is 30 and the sample size is 100. Hence, the sample proportion is:
Sample proportion = 30/100 = 0.3
As the survey is conducted weekly for eight weeks, the average proportion of the samples is determined by sample proportion divided by number of weeks. Hence,
Average proportion = 0.3/8 = 0.0375
Note: The question is incomplete. The complete question probably is: A Glassboro township is concerned about adverse public reaction to a trash recycling project that is currently in progress. Because of this, the commissioner of public works has authorized a weekly survey to be constructed of township residents. Each week, a sample of 100 residents are questioned on their feeling toward the project. The results to date are shown below. What is the weekly average proportion of opposed feeling? (3 pts.) a. 0.0250 b. 0.1250 c. 0.3000 d. 0.0375 e. None
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You are planning on installing a security system at your home. For Safety First Security, you can get monitoring for $2 a day with a one-time set-up fee of $150. For Home Safety Security, you can get
monitoring for $1.50 a day with a one-time set-up fee of $200. Using substitution, find the number of days for which both companies would cost the same.
Step-by-step explanation:
a one-time set-up fee of $200. so that's one day a one-time set-up fee of $150. and that's day 2a cylinder whose height is 7cm and total surface area is 1936/7 . find radius
The radius of the cylinder 37cm.
How to find radius?The radius of a circle is the distance a circle's center from any point along its circumference. Usually, "R" or "r" is used to indicate it.Cylinder y's Curved Surface Area (CSA) Its other name is lateral surface area (LSA). The formula for the curved surface area (CSA) of a cylinder with base radius "r" and height "h" is: CSA of cylinder = 2rh sq. units.cylinder's entire surface area is equal to 2r(h+r).
total surface area = 1936 square cm
height=7 cm
radius is
therefore,
2πr(h+r)=1936
2πr(r+7)=1936
44(r+7)=1936
r+7 = 1936/44
r+7=44
r= 44-7 =37
r=37cm.
The radius of the cylinder 37cm.
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17. एउटा वस्तुको अङ्कित मूल्यमा 20% छुट दिएपछि 13% भ्याट जोडेर रु. 18080 मा बिक्री गरियो भने उक्त वस्तुको अङ्कित मूल्य पत्ता लगाउनुहोस् । (Allowing 20% discount on the marked price of an article, the value of the article will be Rs. 18080 when a VAT of 13% is added, find its marked Ans: Rs. 20,000 price.)
Answer:
11111111111111111111
What are the factors of 3x² 4x 4?
The factors of the quadratic equation 3x² -4x -4 are (3x + 2)(x - 2) .
The process of factoring the quadratic equation means expressing the given equation as the product of two linear factors.
The quadratic expression is given as 3x² -4x -4 ;
it can be written as ⇒ 3x² -6x +2x -4 ,...by using split the middle term method .
⇒ 3x(x - 2) + 2(x - 2) ..taking 3x common from first two terms and 2 common from the last two terms .
⇒ (3x + 2)(x - 2)
Therefore , the factors are (3x + 2)(x - 2) .
The given question is incomplete , the complete question is
What are the factors of the quadratic equation 3x² -4x -4 ?
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One of the solutions to the quadratic equation x - 12x – 45 = 0 is x = -3 Which statement is true? Select all that apply. (Check Screenshot)
Answer:
1st and 3rd 4th
graph of f(x) = x² - 12x-45 has an x-intercept at x = -3
-3 is a zero of the function f(x) = x²-12x- 45
x + 3 is a factor of x² - 12x-45
Steps:
other solution is (x - 15) or x = 15
x² - 12x-45
2 numbers that when multiplied give -45 & when added give -12 are -15 & 3
(x-15) (x+3)
"zero" is a fancy way for asking for the answer or root
imaginary number is i which is √-1 so
if you have √-9 = √9 * √-1 = 3i
if you have √-20 = √4 * √-1 * √5 = 2i√5
.
A diver leaps from the edge of a diving platform into a pool below. The figure shows the initial position of the diver and her position at a later time. At time t seconds after she leaps, the horizontal distance from the front edge of the platform to the diver's shoulders is given by xXt and the vertical distance from the water surface to her shoulders is given by t), where x(t) and yt) are measured in meters. Suppose that the diver's shoulders are 11.4 meters above the water when she makes her leap and that d0.8 and dar 3.6 9.8t for Os ts A, where A is the time that the diver's shoulders enter the water. image y0) Note: Figure not drawn to scale Question 1 (3 points) Find the maximum vertical distance from the water surface to the diver's shoulders. Question 2 (2 points) Find A, the time that the diver's shoulders enter the water Question 3 (2 points) Find the total distance traveled by the diver's shoulders from the time she leaps from the platform until the time her shoulders enter the water. Question 4 (2 points) Find the angle e. 0くθ 〈 π , between the path of the diver and the water at the instant the diver's shoulders enter the water.
A- The maximum vertical distance from the water surface to the diver’s
shoulders are 12.061 meters.
B- The time that the diver’s shoulders enter the water is 1.936 seconds.
C- The total distance traveled by the diver’s shoulders from the time
she leaps from the platform until the time her shoulders enter the water is 12.946 meters.
D- The angle, θ between the path of the diver and the water at the instant the diver’s shoulders enter the water is 1.519.
A-
[tex]\frac{dy}{dx} =0[/tex] only when [tex]t=0.36735[/tex]. Let [tex]b=0.36735[/tex]
The maximum vertical distance from the water surface to the diver’s
shoulders is y(b)=11.4 + [tex]\int\limits^b_0 \frac{dy}{dT} dt = 12.061[/tex] meters.
B-
[tex]y(A)=11.4+\int\limits^A_0 \frac{dy}{dt} dt = 11.4+3.6A- 4.9A^{2} =0[/tex]
when A= 1.936 seconds.
C-
[tex]\int\limits^A_0 {\sqrt{(\frac{dx}{dt} )^{2} + (\frac{dy}{dt} )^{2} } } \, dt = 12.946 m[/tex]
At time A, dy/dx = [tex]\frac{dy/dt}{dx/dt} | _{t=A} = -19.21913[/tex]
D- The angle between the path of the diver and the water is [tex]tan^{-1} (19.21913) = 1.518 or 1.519[/tex]
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Describe what is happening in the graph below.
A. The function is steady, and then it increases
B. The function decreases sharply, and then it stays the same
C. The function increases a little, and then it decreases sharply
D. The function stays constant, and then it decreases sharply
(Picture of graph included)
D.
The line never increases, so we can cancel out A and C.
The line starts off straight, so it's not B.
So, the answer is D. since it starts off constant and then decreases sharply.
In the parallelogram below,
x = [? ]
3x+7
75x-17
Answer:
x=12
Step-by-step explanation:
3x+7 = 5x-17
-2x=-24
x=12
Hope this helps you can thank me if this helps and 5 star if you dont mind :)
Answer:
x=12
Step-by-step explanation:
The two sides must be equal in length
3x+7 = 5x-17
Subtract 3x from each side
3x-3x+7 = 5x-3x-17
7 = 2x-17
Add 17 to each side
7+17 = 2x-17+17
24 = 2x
Divide each side by 2
24/2 = 2x/2
12 =x
The last step mentioned in building equations to solve real-world problems is to check your answer by substituting it into the original equation. Another way to check your answer is to use estimation and to make sure the answer is reasonable for the situation. In the problem above, are all of the solutions reasonable for the given situation? Why or why not?
Graphing, substitution, and elimination are the three techniques used to solve systems of equations.
What is meant by linear equation ?There is only one way to know the unknown variable X. As a result, d has a value of 1. To find an equation, we must know the variable(s) that are missing as well as any associated known variable(s).
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.
The first-degree equations are linear equations. This is the formula for a straight line. Ax+by+c = 0, where a and b are both zeros, is the conventional form of a linear equation.Anything connected to a line is said to be linear.
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How do the base and height of the rectangle compare to the base and height of the parallelogram?
In Parallelogram: Area = base x height(perpendicular distance).
In rectangle: Area = base x height.
Explain some properties of the parallelogram?Parallelogram:
A parallelogram is a particular sort of polygon. It's a quadrilateral in which the opposite side pairs are parallel to one another.
Congruent sides are those when AB = DC.Congruent opposite angels are D = B.(A + D = 180°) Consecutive angles are supplementary.All angles are correct if just one of them is.A parallelogram's diagonals cut each other in half.A parallelogram can be divided into two congruent pieces along each diagonal.Area = base x height(perpendicular distance)
Rectangle:
A quadrilateral having four equal internal angles is a rectangle.A rectangle's opposing sides are equal as well as parallel to one another.Each vertex of a rectangle has a 90° internal angle.The total of a rectangle's internal angles is 360°.The diagonals cut each other in half.The diagonals are all the same length.Area = base(length) x height(width).
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Is 5 a high standard deviation?
Yes, 5 is the high standard deviation which is considered very good.
What is a standard deviation evaluation?A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed. In contrast, a low or a high standard deviation indicates that the data points are, respectively, above or below the mean. A standard deviation that is close to zero implies that the data points seem to be close to the mean.85 persons responded to my survey about their capacity to carry out specific duties.
The responses are rated on a Likert scale of 1 to 5:
2 = Poor, 1 = Very Poor, 2 = Poor, 4 = Good, 3 = Average, 5 = Very GoodIts standard deviation is 0.54 and the mean score is 2.8.To know more about the standard deviation, here
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What are the 5 ways to prove triangles similar?
Five different ways to prove the given triangles are similar is given by :
SAS, SSS, ASA, AA, and RHS.
Five different ways to prove triangles are similar is given by:
1. SAS (Side-Angle-Side) : If the corresponding sides of one triangle are in proportion to the other triangle and included angle is of equal measure.
2. SSS(Side-Side-Side): If the corresponding sides of one triangle are in proportion to the other triangle
3. ASA(Angle - Side- Angle) : If the two angles of one triangle are equal to the angles of other triangle and included side is in proportion.
4. AA( Angle-Angle) : If two adjacent angle of one triangle is equal to the measure of other triangle.
5. RHS(Right angle- Hypotenuse - side). If the hypotenuse and one of one right triangle are in proportion to another.
Therefore, five different ways to prove the given triangles are similar is given by : SAS, SSS, ASA, AA, and RHS.
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What is the mean of the following data set 4 8 11 12 13?
Answer:
9.6
Step-by-step explanation:
What is the mean of the following data set 4 8 11 12 13?
Mean: is the average of values so:
(4 + 8 + 11 + 12 + 13) / 5 = 9.6
How do you find the median step by step?
The median is the exact middle number in a sequence or set of numbers.
Steps to find the median is given below:
Finding the Median in an Odd Set of Numbers:
Step 1: Sort your set of numbers from least to greatest. If they're scrambled, line them up, starting with the lowest number and ending with the highest number.
Step 2: Find the number that is exactly in the middle. This means that the median number has the same amount of numbers in front of it as it does behind it.
Finding the Median in an Even Set of Numbers
Step 1: Sort out your set of numbers from least to greatest. An even set of numbers is going to have two numbers exactly in the middle.
Step 2: Find the average of the two numbers in the middle. If 2 and 3 are both in the middle, so you need to add 2 and 3, then divide the sum by 2. The formula for finding the average of two numbers is (the sum of the two middle numbers) ÷ 2.
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The table describes the quadratic function p(x).
x p(x)
−1 10
0 1
1 −2
2 1
3 10
4 25
5 46
What is the equation of p(x) in vertex form?
p(x) = 2(x − 1)2 − 2
p(x) = 2(x + 1)2 − 2
p(x) = 3(x − 1)2 − 2
p(x) = 3(x + 1)2 − 2
The equation of the quadratic function is (c) f(x) = 3(x - 1)² - 2
How to determine the equation of the quadratic function?From the question, we have the table of values that can be used in our computation:
A quadratic equation is represented as
f(x) = a(x - h)² + k
Where
Vertex = (h, k)
From the graph, we have the vertex to be
(h, k) = (1, -2)
Substitute (h, k) = (1, -2) in f(x) = a(x - h)² + k
So, we have
f(x) = a(x - 1)² - 2
Also, from the graph, we have the point (0, 1)
This means that
a(0 - 1)² - 2 = 1
So, we have
a(1) = 3
Divide both sides by 1
a = 3
Substitute a = 3 in f(x) = a(x - 1)² - 2
f(x) = 3(x - 1)² - 2
Hence, the equation is f(x) = 3(x - 1)² - 2
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How many integers are there between 100 and 999?
898 integers in that range excluding 100 and 999
There are 900 integers between 100 and 999, inclusive.
Numbers between 999 and 100 inclusive: 999 - 99 = 900
If you want to know the number of integers between 100 and 999, but not including either 100 or 999, then there are 898 integers in that range.
What is an integers number:
An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion. Integers include things like -5, 0, 1, 5, 8, 97, and 3,043. Z is a set of integers that consists of the following:
Positive Numbers: If a number is greater than zero, it is considered positive. For instance, 1, 2, 3, etc.
Negative numbers are those that are less than zero. For instance: 1, 2, 3, etc.
Zero is described as being neither a positive nor a negative number. A whole number, that is.
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