Answer:
y=2x+3
Step-by-step explanation:
2=y-5/x-2
y-5=2x-2
y=2x+3
3
Select the correct answer from the drop-down menu.
Triangle ABC has a perimeter of 40 inches. What is AC?
A
(x+1) in
AC =
18
9
10
27
C
✓in
2x in
(x + 3) in
B
Reset
Next
The length of AC cannot be determined based on the information provided.
The confusion earlier.
Given the information that Triangle ABC has a perimeter of 40 inches, we can proceed to find the length of AC.
Let's assume that AC has a length of x inches.
Since the perimeter of a triangle is the sum of the lengths of its sides, we can set up an equation:
AC + AB + BC = 40
Substituting the values in the equation, we have:
x + AB + BC = 40
Without any additional information or specific lengths for AB and BC, it is not possible to determine the exact value of x or AC.
The lengths of AB and BC could vary, resulting in different values for AC.
the prior haziness.
We can go on to find the length of AC now that we know Triangle ABC has a perimeter of 40 inches.
Assume for the moment that AC is x inches long.
We may create the equation AC + AB + BC = 40 since the perimeter of a triangle is equal to the sum of the lengths of its sides.
With the variables in the equation substituted, we get x + AB + BC = 40.
The exact value of x or AC cannot be calculated in the absence of any more details or precise lengths for AB and BC.
various values for AC might come from various AB and BC lengths.
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PLEASE HELP!!
This is one simple question but I don’t know to answer to it. It’s just asking which ones are not functions.
Answer:
1st one 2nd one and 4th one
Step-by-step explanation:
your looking for the ones that have nothing in common
answer number 16 about scientific notation please:)
Answer:
= 4.32 × 10^4
Step-by-step explanation:
= 4.32 × 10^4
(scientific notation)
= 4.32e4
(scientific e notation)
= 43.2 × 10^3
(engineering notation)
(thousand; prefix kilo- (k))
In scientific notation, a large number is converted to an equivalent decimal number between 1 and 10, multiplied by 10 raised to some power. Very small numbers are converted to an equivalent decimal number between 1 and 10, multiplied by 10 raised to some negative power.
A particular country's exports of goods are increasing exponentially. The value of the exports, t years after 2009, can be approximated by V(t)= 1.7e⁰.⁰⁴⁹t
where t = 0 corresponds to 2009 and V is in billions of dollars.
What is the doubling time for the value of the country's exports?
the simple answer is 14.16 years.
The doubling time for the value of the country's exports is given by the formula:
t = ln(2) / k,
where k is the constant of proportionality in the exponential growth function.
Here, the value of the exports of a country is given by V(t) = 1.7e^(0.049t)The doubling time for the value of the country's exports can be obtained as follows:
t = ln(2) / k, where k is the constant of proportionality
k = 0.049Thus, the doubling time is given byt = ln(2) / 0.049t = 14.16 years (approximately)
Therefore, the simple answer is 14.16 years.
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Name the word that matches the definition given: A ratio of two quantities with different units.
A. proportion
B. unit rate
C. ratio
D. rate
Given f(r)=3r3-3r+1, what is the value of f(2)?
Answer:
3.5
Step-by-step explanation:
name 4 values of c that makes the following expression factorable x^2-3x c
the 4 values of c that make the expression x² - 3xc factorable are 1, 2, -1, and -2.
To make the expression x² - 3xc factorable, we need to find 4 values of c.
Here's how:
To factor the quadratic expression, x² - 3xc, we need to look for two terms that we can add or subtract to obtain the quadratic expression. x² - 3xc can be rewritten as x² - (3c)x.
Now we need to factor out the greatest common factor which is x to obtain x(x - 3c).Thus, x² - 3xc = x(x - 3c).
We can observe that the expression x(x - 3c) is the product of two factors: x and (x - 3c).In order to make the expression x² - 3xc factorable, the value of c should be such that the product of x and (x - 3c) is equal to x² - 3xc.
Therefore, the values of c that make the expression x² - 3xc factorable are:1. c = 1:
This gives us x(x - 3)2. c = 2: This gives us x(x - 6)3. c = -1:
This gives us x(x + 3)4. c = -2: This gives us x(x + 6)
Therefore, the 4 values of c that make the expression x² - 3xc factorable are 1, 2, -1, and -2.
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.Find the area of the triangle formed by the origin and the points of intersection of the parabolas with equations y=−3x^2+20 and y=x^2−16 .
The area of triangle formed by the origin and the points of intersection of the given parabolas is 30 square units
Given the parabolas with equations y = −3x² + 20 and y = x² − 16, we are supposed to find the area of the triangle formed by the origin and the points of intersection of the given parabolas.
Let us first find the points of intersection of the given parabolas by equating the two given equations:
−3x² + 20 = x² − 16
⇒ 4x² = 36
⇒ x² = 9
⇒ x = ± 3
We have x = 3 and x = −3 as the two points of intersection.
Now let's find the y-coordinates of these points by substituting the value of x in any of the given equations.
For instance, if we substitute x = 3 in the equation y = −3x² + 20, we get:
y = −3(3)² + 20
= −27
Similarly, if we substitute x = −3 in the equation y = x² − 16, we get:
y = (−3)² − 16
= −7
Thus, the points of intersection of the given parabolas are (3, −27) and (−3, −7).
Now we can find the area of the triangle formed by the origin and these points of intersection.
The vertices of the triangle are the origin (0, 0), and the points of intersection of the parabolas (3, −27) and (−3, −7).
We know that the area of a triangle formed by three non-collinear points in a coordinate plane is given by the following formula:
Area = ½ |x1(y2 − y3) + x2(y3 − y1) + x3(y1 − y2)|
We can substitute the values of the given coordinates into this formula and simplify.
This gives us the following:
Area = ½ |0(−27 − (−7)) + 3(−7 − 0) + (−3)(0 − (−27))|
⇒ Area = ½ |(−21) + 81|
⇒ Area = 30
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Jeremiah is going to the local arcade. He is planning to go bowling and play some arcade games. He has $32 in his wallet to spend. A game of bowling cost $11, plus the shoe rental this is $3.75. Each arcade game costs $.75 to play.
X < 24
X < 24
X < 23
X < 25
Answer:
x < 25
Step-by-step explanation:
The correct option is option C: x<23
What is inequality?
Inequality is the non-equal relation between two statements showing relations like greater than, greater than equals to, lesser than, lesser than equals to, etc
Here given that there is only $32 in hand to spend.
And the bowling game costs= $11
shoe rental costs =$3.75
each arcade game costs $0.75
let's assume no. of arcade games she can play =x
x arcade games will cost to play=$0.75*x=0.75x
so that the total cost should not exceed $32 i.e. total cost is less than $32.
The inequality expression will be
Total cost to play < $32
⇒the bowling game cost + shoe rental cost + arcade game playing cost< $32
⇒ $11+ $3.75+ $0.75x< $32
solving this inequality,
⇒ $14.75+ $0.75x< $32
⇒ $0.75x< $32- $14.75
⇒$0.75x< $17.25
⇒x<17.25/0.75
⇒x<23
Therefore she can play no. of arcade games which should be less than 23.
Therefore The correct option is option C: x<23
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find the largest four-digit value of ${}t$ such that \[\sqrt{t-\sqrt{t-\sqrt{t-\sqrt{t-\cdots}}}}\]is an integer.
To find the largest four-digit value of t such that the expression is an integer, we need to set up an equation and solve for t.
Let's denote the given expression as x:
x = √(t - √(t - √(t - √(t - ...)))
To simplify the expression, we notice that the inner square root can be represented by x itself. So we can rewrite the equation as:
x = √(t - x)
Squaring both sides to eliminate the square root:
x^2 = t - x
Rearranging the equation:
x^2 + x - t = 0
To find the largest four-digit value of t, we can iterate through the values of t starting from 9999 and solve the quadratic equation for x. We are looking for a positive integer solution for x. Once we find the largest value of t that satisfies this condition, we have our answer.
By solving the quadratic equation for different values of t, the largest four-digit value of t that satisfies the condition is 9985.
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Find the average value have of the function h on the given interval. h(u) = (20 – 10u)-1, [-1, 1]
The average value of the function h on the interval [-1,1] is equal to 1/2. The solution to the problem is as follows:Let's start by calculating the definite integral of h(u) with the given limits of integration[tex][-1,1].\[\int_{-1}^{1}\frac{1}{20-10u}du\][/tex]
To solve the integral.
we can use the u-substitution method where, [tex]let\[u=20-10u\]and\[\frac{du}{du}=-10du\][/tex]
Then,[tex]\[\int_{-1}^{1}\frac{1}{20-10u}du\]Let,\[u=20-10u\]\[du=-10du\][/tex]
Then,[tex]\[-\int\frac{1}{u}du\]which is equal to\[-\ln|u|+C\][/tex]
Substituting we can find the definite integral of h(u) with the limits of integration, 1 and -1.\[-\ln|20-10(1)|-[-\ln|20-10(-1)|]\]Simplify,\[-\ln|10|-[-\ln|30|]\]
which is equal to\[\ln|30|-\ln|10|\]and simplified as\[\ln\left|\frac{30}{10}\right|\]which is equal to\[\ln|3|\]Then, the average value of the function h on the interval [-1,1] is:[tex]\[\frac{1}{1-(-1)}\int_{-1}^{1}\frac{1}{20-10u}du\][/tex]
Substituting the integral,[tex]\[\frac{1}{2}\ln|3|\][/tex]
Thus, the average value of the function h on the interval [-1,1] is equal to 1/2.
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Explain why this triangle is congruent.
Answer:because...
Step-by-step explanation:
they are the same size and both can reflect on eachother .
For which of the following is f (n) # 2 (g (n)) Of(n) = n, g(n) = glogz n Of(n) = n, g(n) = 2logan Of(n) = 3",
g(n) = n3" Of (n) = nlog, n, g(n) = nlog2(5n)
Only for the second pair of functions, f(n) = n and g(n) = 2log2(n), the expression f(n) # 2(g(n)) simplifies to n^2. For the other pairs, the operation # is not defined, so we cannot evaluate the expression.
Let's evaluate the expression f(n) # 2(g(n)) for each of the given functions:
f(n) = n, g(n) = log2(n):
f(n) # 2(g(n)) = n # 2(log2(n))
Since the operation # is not defined, we cannot evaluate the expression.
f(n) = n, g(n) = 2log2(n):
f(n) # 2(g(n)) = n # 2(2log2(n))
= n # 2(log2(n^2))
= n^(2log2(n))
The expression simplifies to n^(log2(n^2)) = n^2.
f(n) = 3, g(n) = n:
f(n) # 2(g(n)) = 3 # 2(n)
Since the operation # is not defined, we cannot evaluate the expression.
f(n) = nlog(n), g(n) = nlog2(5n):
f(n) # 2(g(n)) = nlog(n) # 2(nlog2(5n))
Again, since the operation # is not defined, we cannot evaluate the expression.
In summary, only for the second pair of functions, f(n) = n and g(n) = 2log2(n), the expression f(n) # 2(g(n)) simplifies to n^2. For the other pairs, the operation # is not defined, so we cannot evaluate the expression.
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help me i beg-
A scuba diver is 31 feet below the surface of water. She dives down an additional 16 feet. How far would she have to rise to reach the surface of water?
Answer:
47 feet
Step-by-step explanation:
Thanks i got it right
Answer:
got what right?
Step-by-step explanation:
Answer:
you're
Step-by-step explanation:
welcome buddy that's cool very cool
Can you guys help me with this
Answer:
2/5
Step-by-step explanation:
Pick one of the numbers and divide them.
For example:
4/10 = 2/5 or 5/12.5 = 2/5
No matter which pairs you choose, you should get the same answer when you divide them.
For the following set of data, calculate the: lower quartile il. upper quartile ii. interquartile range iv. range a 6 10 15 21 28 32 12 7 25 9 b. s 6 12 15 9 8 7 6 11 3 2 5 C 17 81 36 38 39 41 45 61 27 78 62 91 4231 35 37 80 82 d 22 28 15 12 13 16 29 11 15 16 21 29 31 2 . Determine the standard deviation for each of the following sets of data. a. 6 8 9 12 15 16 C 2 3 11 1 5 6 7 b. 21 25 28 19 17 d. 2 CD 7 6 5 2 5 9 124
Answer:
To calculate the quartiles, interquartile range, and range for each set of data, and to determine the standard deviation for the given sets, let's work through each one separately:
a. Set a: 6, 10, 15, 21, 28, 32, 12, 7, 25, 9
Lower quartile (Q1): 9
Upper quartile (Q3): 25
Interquartile range: Q3 - Q1 = 25 - 9 = 16
Range: 32 - 6 = 26
b. Set b: 6, 12, 15, 9, 8, 7, 6, 11, 3, 2, 5
Lower quartile (Q1): 5
Upper quartile (Q3): 12
Interquartile range: Q3 - Q1 = 12 - 5 = 7
Range: 15 - 2 = 13
c. Set c: 17, 81, 36, 38, 39, 41, 45, 61, 27, 78, 62, 91, 42, 31, 35, 37, 80, 82
Lower quartile (Q1): 36
Upper quartile (Q3): 78
Interquartile range: Q3 - Q1 = 78 - 36 = 42
Range: 91 - 17 = 74
d. Set d: 22, 28, 15, 12, 13, 16, 29, 11, 15, 16, 21, 29, 31, 2
Lower quartile (Q1): 13
Upper quartile (Q3): 28
Interquartile range: Q3 - Q1 = 28 - 13 = 15
Range: 31 - 2 = 29
To determine the standard deviation for each set of data, it is necessary to know the complete dataset, including the number of observations. Please provide the complete datasets for sets a, b, c, and d so that I can calculate the standard deviations accurately.
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scatterplots are used to determine a. the function of a behavior b. the frequency of a behavior c. the time distribution of a behavior
The correct option is (c) the time distribution of a behavior. Scatterplots display the relationship between two continuous variables and are useful for examining how a behavior changes over time.
A scatterplot is a type of data visualization that is used to display the relationship between two continuous variables. It consists of a set of points plotted on a Cartesian coordinate system, where each point represents the values of two variables. The x-axis represents one variable, and the y-axis represents the other variable.
Scatterplots are particularly useful for examining the time distribution of a behavior. By plotting the time (or another continuous variable) on one axis and the corresponding behavior measurement on the other axis, scatterplots allow us to analyze how the behavior changes over time. They can reveal patterns, trends, or clusters in the data, providing insights into the temporal distribution of the behavior being studied.
Scatterplots are not typically used to determine the function of a behavior or the frequency of a behavior. For determining the function of a behavior, other methods such as functional analysis or experimental manipulation are commonly employed. Frequency of a behavior is often assessed using other measures such as event recording or interval recording, rather than scatterplots.
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On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is LaTeX: t=\frac{\:1}{500}dt=1500d How long will it take the airplane to travel 500 miles? hours How long will it take the airplane to travel 800 miles? hours
Answer:
1.6 hours or 1 hour 36 minutes
Step-by-step explanation:
We have been given an equation , where d represents distance traveled in miles and t represents time in hours.
To find the time taken by the flight to travel 800 miles, we will substitute in our given equation as:
1 hour equals 60 minutes.
0.6 hours = 0.6*60 minutes = 36 minutes.
Step-by-step explanation:
how would you classify 143 as a perfect square, perfect cube, both, or neither?
Answer: The answer Is in the pdf.
Thank you.
Step-by-step explanation:
If y(x) = 4x, what is x when y(x) = 4?
a.2
b.1.
c.4
d.0
Answer:
b. 1
Step-by-step explanation:
Step 1: Define
y(x) = 4x
y(x) = 4
Step 2: Substitute and Evaluate
4 = 4x
x = 1
POWERS OF 10 PRACTICE 7TH GRADE
Answer:
that's easy its C
Step-by-step explanation:
because the power is negative, multiply by a negative number, in this case 10, 5 times.
How is the outlier affecting the mean and median of the data set :5,28,30,30,32,35
Answer:
"Girl do your work i'm telling your teacher"
Step-by-step explanation:
improvise honey you give the worst answers ever and now you expect people to ask and give you good answers
5 x(4 - 83 ÷ 1 x 9)+ 3+8
The answer is..........
-3704
Answer:
=-3704
Step-by-step explanation:
Remeber PMDAS
Look at the attachment below
Hope this helps (:
The wages
w
(in £) Caroline earns is the number of hours she works
n
multiplied by her hourly rate
r
(in £ per hour). Enter a formula for Caroline's wages and enter the wage she would earn if she worked 20 hours at a rate of £7.20 per hour
Answer:
£ 144
Step-by-step explanation:
the formula would be :
w = n * r
finding the wages for 20 hours at a rate of 7.20 hours can be solved like this:
w = n *r
w = 7.20 * 20
w =£ 144
Develop the Mathematical LP model 4. In anticipation of the immense college expenses, Joe and Jill started an annual investment program on their child's eighth birthday that will last until the eighteenth birthday. They plan to invest the following amounts at the beginning of each year: To avoid unpleasant surprises, they want to invest the money safely in the following options: Insured savings with 7.5% annual yield,6-year government bonds that yield 7.9% and have a current market price equal to 98% of face value, and 9-year municipal bonds yielding 8.5% and having a current market price of 1.02 of face value. How should the money be invested?
A mathematical LP model can be developed. The objective is to maximize the total yield considering options available: insured savings, 6-year government bonds, and 9-year municipal bonds.
Let's denote the amount to be invested in insured savings as x1, the amount in 6-year government bonds as x2, and the amount in 9-year municipal bonds as x3. The LP model can be formulated as follows: Maximize: 0.075x1 + 0.079x2 + 0.085x3 (total yield) Subject to: x1 + x2 + x3 = Total amount available for investment
x2 ≤ 0.98(Total amount available for investment) (constraint on government bonds) x3 ≤ 1.02(Total amount available for investment) (constraint on municipal bonds) In this model, the objective function represents the total yield obtained from the investments.
The first constraint ensures that the total amount invested across the three options does not exceed the available funds. The second and third constraints set the upper limits on the amounts invested in government bonds and municipal bonds based on their respective market prices.
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To develop a mathematical LP model for Joe and Jill's investment decision.
We need to determine the optimal allocation of their investment amounts to maximize the total return while considering the constraints and options available. Let's define the decision variables and constraints:
Decision Variables:
Let:
x1 = Amount invested in insured savings (in dollars)
x2 = Amount invested in 6-year government bonds (in dollars)
x3 = Amount invested in 9-year municipal bonds (in dollars)
Objective Function:
Maximize the total return on investment:
Total Return = 0.075 * x1 + 0.079 * x2 + 0.085 * x3
Constraints:
The total investment amount should be equal to the sum of the individual investments:
x1 + x2 + x3 = Total Investment Amount
Constraints on the investment amounts for each option:
x1 >= 0 (Non-negativity constraint for insured savings)
x2 >= 0 (Non-negativity constraint for government bonds)
x3 >= 0 (Non-negativity constraint for municipal bonds)
Constraint on the market price of government bonds:
0.98 * x2 <= x1 (The market value of government bonds should be less than or equal to the amount invested in insured savings)
Constraint on the market price of municipal bonds:
1.02 * x3 <= x1 (The market value of municipal bonds should be less than or equal to the amount invested in insured savings)
With the decision variables and constraints defined, we can formulate the LP model as follows:
Maximize:
Total Return = 0.075 * x1 + 0.079 * x2 + 0.085 * x3
Subject to:
x1 + x2 + x3 = Total Investment Amount
x1 >= 0
x2 >= 0
x3 >= 0
0.98 * x2 <= x1
1.02 * x3 <= x1
This LP model will help determine the optimal allocation of Joe and Jill's investment amounts to maximize their total return while considering the available options and constraints. The specific value for the Total Investment Amount will need to be provided to obtain the optimal solution.
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Q3. How would you test a trading rule to determine if it
generates a statistically and economically significant alpha?
To test a trading rule for statistically and economically significant alpha, follow these steps: gather data, formulate a hypothesis, measure performance, conduct statistical tests, assess economic significance, and perform robustness testing.
To determine if a trading rule generates a statistically and economically significant alpha, several steps can be followed. Alpha refers to the excess return generated by a trading strategy beyond what would be expected from market movements. Here's a summary of the testing process:
To test a trading rule's alpha, you can follow these steps:
1. Data Preparation: Gather historical price data for the assets being traded and any relevant market indices. Ensure the data is clean, consistent, and properly adjusted for dividends and corporate actions.
2. Hypothesis Formulation: Clearly define the trading rule being tested, specifying the entry and exit criteria. Formulate a null hypothesis assuming no alpha exists and an alternative hypothesis suggesting the presence of statistically and economically significant alpha.
3. Performance Measurement: Apply the trading rule to the historical price data and calculate the strategy's performance metrics, including returns, volatility, and risk-adjusted measures like the Sharpe ratio or information ratio.
4. Statistical Significance: Conduct hypothesis testing using appropriate statistical methods such as t-tests or regression analysis to determine if the strategy's excess returns are statistically significant. This helps assess whether the alpha is due to skill or randomness.
5. Economic Significance: Evaluate the economic significance of the alpha by considering transaction costs, liquidity constraints, and realistic trading scenarios. Adjust the returns for these factors to assess if the strategy generates meaningful profits after accounting for expenses.
6. Robustness Testing: Perform sensitivity analysis by varying key parameters of the trading rule and assessing the stability and consistency of the alpha. This helps determine if the strategy's performance is robust across different market conditions and time periods.
By following these steps, you can systematically evaluate a trading rule's alpha generation potential. Remember, it's important to consider statistical significance, economic significance, and robustness to draw meaningful conclusions about a trading strategy's effectiveness.
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A fruit basket contains 9 apples, 5 bananas, 1 orange, and 5 peaches. Kirsten picked a banana out of the basket. She looked at it, noticed it had a big bruise on it, so she put it back in the basket. She then picked an apple as her snack. Find P(banana, apple)
Answer
9/20
Step-by-step explanation:
This is a probabilty, problem
firstly, let us bring out the sample space and size
the sample space is
9 apples,
5 bananas,
1 orange, and
5 peaches
The sample size is (9+5+1+5)= 20
The probability of picking a banana is
Pr(banana) =5/20
=1/4
The probability of picking an apple
Pr(apple) = 9/20
The probability of picking up a banana and an apple with replacement is
=1/4+9/20
=9/80
Rewrite this expression using appropriate conventions.
(a+a+a+a) / 5
Answer:
4a/5
Step-by-step explanation:
[tex](a+a+a+a) / 5 \\ = \frac{4a}{5} [/tex]
Solving further ;
Simplify
[tex]4a \div 5 =\frac{4}{5} a [/tex]
List 4.6,2.8 repeating,pi,square root of 17 and the square root of 7 form least to greatest
Answer:
the square root of 7, 2.8 repeating, pi, square root of 17, 4.6
Step-by-step explanation:
The numbers in the least to greatest order as √7, 2.8 , π, √17, 4.6.
What is descending order?Descending order is defined as when numbers (or other items) are arranged from the largest numbers to the least numbers, it is said to be in descending order.
What is ascending order?Ascending order is defined as when numbers (or other items) are arranged from the least numbers to the largest numbers, it is said to be in ascending order.
we have the given numbers as
the square root of 7, 2.8 repeating, pi, square root of 17, 4.6
√7 = 2.645
π = 3.14
√17 = 4.123
Here the least numbers to the largest numbers, it is said to be in ascending order.
√7, 2.8 , π, √17, 4.6
Hence, the numbers in increasing order as √7, 2.8 , π, √17, 4.6.
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