The value of x in the triangle is 777.9
How to find the value of xFrom the question, we have the following parameters that can be used in our computation:
The triangle
The value of x in the triangle can be calculated using the following sine rule
sin(40) = 500/x
Make x the subject of the formula
So, we have
x = 500/sn(40)
Evaluate
x = 777.9
Hence, the value of x is 777.9
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If the temperature increases and the amount of water vapor in the air remains unchanged, how has the RH (relative humidity) changed?
When the temperature increases and the water vapor content in the air stays the same, the relative humidity decreases. This is because warmer air can hold more moisture than colder air, and therefore the ratio of the actual amount of water vapor in the air to the maximum amount of water vapor that the air can hold decreases as the air temperature increases.
Relative humidity depends on two factors: the amount of water vapor present in the air and the maximum amount of water vapor that the air can hold at a given temperature. As the temperature rises, so does the amount of water vapor that the air can hold, since warm air has more energy to hold the water molecules in vapor form. This reduces the ratio of the actual amount of water vapor in the air to the maximum amount of water vapor the air can hold, resulting in lower relative humidity.
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Is 96 the lowest common multiple of 4 and 24?
no
4x6=24
24x1=24
hence 24 is the lowest common multiple , i hope this helped xx
Please help and show work only do the left side
Writing linear equations given two points can be a useful skill when graphing linear equations.
Write a linear equation that passes through the given two points?To write a linear equation given two points, you need to first find the slope of the line. You can do this by finding the change in the y-value and dividing it by the change in the x-value. From there, you can use the slope to solve for the y-intercept and write the equation.For example, if the two points are (3, 4) and (0,5), you would find the slope by calculating the change in the y-value (5-4 = 1) and dividing it by the change in the x-value (0-3 = -3).The slope would then be 1/-3, which can be simplified to -1/3. To solve for the y-intercept, you can plug in one of the points and solve for b. In this case, you would plug in (3, 4) and solve for b, giving you b = 5. Now that you have the slope and y-intercept, you can write the equation as y = -1/3x + 5.y = -1/2xy = 5/3x + 5/3y = 3/5x + 1y = -1/2x - 2y = 6/5x + 5y = -4/4x - 8y = -3/5x - 7/5y = -2x - 4y = 5/6x + 7y = -1/2x + 4To learn more about linear equation refer to:
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PLEASE HELP MEEEE!!!!
x is less than or equal to 5 but greater than -2
Answer:
It's gotta be 5. All the possible answers are 1, 2, 3, 4, and 5. Because there are so many the logical way to go is 5
Bob owns a hardware store he sells hammers for 15$ on Saturday he sold 36 hammers how much money did he collect for hammers that day
Given:
Bob owns a hardware store he sells hammers for 15$
On Saturday he sold 36 hammers.
The total cost of the hammers =
\(15*36=540\)So, the answer will be $540
A scientist estimates that 30% of female bears produce offspring each year. If there are between
80 and 120 female bears in the region, which of the following is the best estimate for how many
female bears will produce offspring in the region this year?
A 18
с 30
B
22
D
42
A right square prism has a volume of 360 cubic units. Which could be the dimensions, in units, of the prism? Select three options.
The dimensions, in units, of the right square prism are 3 by 3 by 40, 2.5 by 12 by 12 and 3.6 by 10 by 10.
What is of volume of solid?
Volume of solid is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.
The volume of a right square prism can be calculated using the following formula.
\(V=a^2h\\\)
Here, (a) is the side length of the base and (h) is the height.
The right square prism has a volume of 360 cubic units. Lets check all the options, whose volume is equal to 360 cubic units.
The dimensions of the first option is 3 by 3 by 40. Thus, the volume of it,\(V=3^2\times40\\V=360\rm\; units^3\)
The dimensions of the second option is 4 by 4 by 20. Thus, the volume of it,\(V=4^2\times20\\V=320\rm\; units^3\)
The dimensions of the third option is 5 by 5 by 14. Thus, the volume of it,\(V=5^2\times14\\V=350\rm\; units^3\)
The dimensions of the fourth option is 2.5 by 12 by 12. Thus, the volume of it,\(V=12^2\times2.5\\V=360\rm\; units^3\)
The dimensions of the fifth option is 3.6 by 10 by 10. Thus, the volume of it,\(V=10^2\times3.6\\V=360\rm\; units^3\)Hence, the dimensions, in units, of the right square prism are 3 by 3 by 40, 2.5 by 12 by 12 and 3.6 by 10 by 10.
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Answer:
First Option 3 by 3 by 40
Fourth Option 2.5 by 12 by 12
Fifth Option 3.6 by 10 by 10
Step-by-step explanation:
right on edge
Question 5 of 10
1.8"
22.8"
15.8"
Which of the following volume measurements is the best estimate for the
figure above? Round each measurement to the nearest whole number to get
your estimate.
OA. 690 in ³
B 330 in ³
The estimated volume of the given cuboid is 736 inch³
The volume of a Cuboid:In geometry, a cuboid is a three-dimensional figure or geometrical shape that has 6 faces, 12 edges, and 8 vertices. The space occupied by the cuboid is known as the Volume of the cuboid.
The dimensions of the cuboid are Length, Width, and Height. The formula for the volume of the cuboid is given by
Volume of cuboid = Length × Width × Height
Here we have
Measurements cuboid are
Length = 22.8 inches
On rounding to a whole number, Lenght = 23 inches
Width = 1.8 inches
On rounding to a whole number, Width = 2 inches
Height = 15.8 inches
On rounding to a whole number, height = 16 inches
As we know
The volume of a cuboid = Length × Width × Height
= 23 inch × 2 inch × 16 inch
= 736 inch³
Therefore,
The estimated volume of the given cuboid is 736 inch³
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Micheal got 28 out of 33 points on his math test. What percent of the questions did he get correct? Round your answer to the nearest whole number
Answer:
85%
Step-by-step explanation:
Answer:
about 84
Step-by-step explanation:
28/33=84/99
Please help me!!!!!!!
Write a quadratic function whose zeros are 2 and 13.
Answer:
x^2-15+26
Step-by-step explanation:
(x-13)(x-2)=x^2-2x-13x+26=x^2-15+26
Hope this helps! Please mark brainliest :)
Order the following from least to greatest.
Answer:
Hi there!
Your answer is:
-26/5 , -5.17 , √33 , 37/6
Step-by-step explanation:
-26/5 = -5.2
-5.17 = -5.17
✓33= 5.7
37/6 = 6.16
what's the slope for (-1,-6) and (5,-4)
Answer:
1/3 is the slope
Step-by-step explanation:
Use this formula \(\frac{y2 - y1}{x2 - x1}\)
Plug in (-1, -6) and (5, -4)
\(\frac{-4 - -6}{5 - -1} = \frac{2}{6}/2 = \frac{1}{3}\)
Hope this helps ya!!!
to rent a popcorn machine, it costs 35$ plus $6.95 for each hour. write and evaluate an expression to find the total cost of renting the popcorn machine for 5 hours. then make a table showing the cost for 5, 6, 7, and 8 hours
Answer:
y=6,95x+35
Step-by-step explanation:
y=6,95x+35
y=6,95*5+35=69,75 for 5 hours
for 6 hours y=76,7
for 7 hours y=83.65
for 8 hours y=90,6
lemme know if its right <3.
PLEASE HELP FOR BRAINLIEST
I need the answers to 17 and 18 please
Answer:
17. 1st quadrant
18. No, the point is in II quadrant.
Thank you ☺
Wonderpillow is the trading name used by Alan. The business has long-term liabilities of £100 000, non-current assets of £289 770 and current assets of £124 400. The total of
current liabilities less current assets is £3 340. What is the total for equity?
• a. £186 430
• b. £193 110
• c. £293 110
• d. £286 430
The total equity for Wonderpillow is £193,110.
Equity represents the residual interest in the assets of a business after deducting liabilities. To calculate the total equity, we need to subtract the total liabilities from the total assets.
Given:
Long-term liabilities = £100,000
Non-current assets = £289,770
Current assets = £124,400
Current liabilities - current assets = £3,340
First, we calculate the total liabilities:
Total liabilities = Long-term liabilities + (Current liabilities - current assets)
Total liabilities = £100,000 + (£3,340)
Total liabilities = £103,340
Next, we calculate the total equity:
Total equity = Total assets - Total liabilities
Total equity = Non-current assets + Current assets - Total liabilities
Total equity = £289,770 + £124,400 - £103,340
Total equity = £310,830 - £103,340
Total equity = £207,490
Therefore, the correct answer is not listed among the options provided. The total equity for Wonderpillow is £207,490, which is not included in the given choices
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A small internet trading company estimates that each network blackout results in a $500 loss. Compute expectation and variance of this company’s daily loss due to blackouts.
x = 0, 1, 2
Px = 0.7, 0.2, 0.1
The expectation (mean) of the company's daily loss due to blackouts is $200, and the variance is $350.
To compute the expectation of the company's daily loss, we multiply each possible loss value by its corresponding probability and sum them up. In this case, we have three possible loss values (0, 1, and 2) with their respective probabilities (0.7, 0.2, and 0.1). Multiplying each loss value by its probability and summing them gives us the expected value of $200.
To calculate the variance, we need to find the squared differences between each possible loss value and the expected value, multiply them by their respective probabilities, and sum them up. Squaring the differences ensures that negative differences do not cancel out positive differences. In this case, the variance is calculated as (0 - 200)^2 * 0.7 + (1 - 200)^2 * 0.2 + (2 - 200)^2 * 0.1, resulting in a variance of $350.
The expectation and variance provide useful measures of the central tendency and variability, respectively, of the company's daily loss due to blackouts.
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consider the linear search algorithm, would it be faster asymptotically in the worst case scenario if we run it on a sorted list vs. an unsorted list. justify your answer.
In the context of the linear search algorithm, the time complexity in the worst-case scenario remains the same, whether the list is sorted or unsorted.
The linear search algorithm has a time complexity of O(n) in the worst case, which means that it takes n steps to search through a list of n elements.
Step-by-step explanation:
1. Start at the first element of the list.
2. Compare the current element with the target value.
3. If the current element is equal to the target value, return the index of the current element.
4. If the current element is not equal to the target value, move on to the next element.
5. Repeat steps 2-4 until you reach the end of the list or find the target value.
In the worst-case scenario, the target value is either at the end of the list or not present in the list. In both sorted and unsorted lists, the algorithm has to traverse the entire list to determine the result. Therefore, there is no asymptotic difference in the worst-case scenario between sorted and unsorted lists when using the linear search algorithm.
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NEED HELP!!! 30 POINTS
FIND THE RATIONAL EXPONENT FORM!!
Answer:
Step-by-step explanation:
The root which is 2 is the fractional portion of your exponent
\(\sqrt{x^{7} y^{12} }\)
=\((x^{7} y^{12} )^{\frac{1}{2} }\) >You can distribute 1/2 to each term by multiplying
\(=x^{\frac{7}{2} } y^{6\)
The local Beep Boop store sells widgets and gizmos. If you subtract the cost of 3 gizmos from 7 widgets you would spend 28 Boop Bucks. Also, you would spend 16 Boop Bucks if you bought 4 widgets and 2 gizmos. Which of the two items, widgets or gizmos, does the Beep Boop store give away for free? How do you know? How much does the other item cost?
Answer:
$7
Step-by-step explanation:
which statement is always true, based on the venn diagram? if a triangle is equilateral, then the triangle must also be isosceles. if a triangle is isosceles, then the triangle must also be equilateral. if a triangle is isosceles, then the triangle will never also be equilateral. if a triangle is equilateral, then the triangle will not always be isosceles.
The statement "If a triangle is equilateral, then the triangle must also be isosceles" is always true based on the Venn diagram. In a Venn diagram representing the relationship between equilateral and isosceles triangles, we can visualize two overlapping circles.
One circle represents equilateral triangles, and the other represents isosceles triangles. Every equilateral triangle is also an isosceles triangle because all three sides of an equilateral triangle are congruent, and any two sides of an isosceles triangle are congruent. Therefore, the statement "If a triangle is equilateral, then the triangle must also be isosceles" is always true.
On the other hand, the statement "If a triangle is isosceles, then the triangle must also be equilateral" is not always true. In the Venn diagram, we can see that there are isosceles triangles that are not equilateral. These triangles have two congruent sides but not all three sides are equal. Therefore, the statement is not always true.
The statements "If a triangle is isosceles, then the triangle will never also be equilateral" and "If a triangle is equilateral, then the triangle will not always be isosceles" are both incorrect based on the Venn diagram because they contradict the overlapping region where equilateral and isosceles triangles coincide.
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Answer:
the answer is "A"
Step-by-step explanation:
pleaseee help me with this .
Answer:
(-8,1)
Step-by-step explanation:
You can substitute one equation into the other to work this out.
Since y=2x+17, we can replace y in the first equation with 2x+17, giving a result of -x+2x+17=9.
From there, you can combine the x (-1x+2x=1x) to get x+17=9.
Subtracting 7 from both sides isolates x, leaving x=-8.
We can use the x value to work out the y by substituting it into either equation (I'm going to use the second one).
This gives y=2×-8+17, which can be solved to y=-16+17, and further to y=1.
This makes the point of intersection (-8,1), as those are the shared values.
**This involves simultaneous equations, which you may wish to revise. I'm always happy to help!
Suppose a professor gives a multiple choice quiz containing 5 questions, each with 4 possible responses: a, b, c, d. What is the minimum number of students that must be in the professor's class in order to guarantee that at least 2 answer sheets must be identical
The minimum number of students that must be in the professor's class in order to guarantee that at least 2 answer sheets are identical is 1025.
In order to answer this question, we need to use the Pigeonhole Principle, which states that if there are n pigeonholes and more than n objects, then at least one pigeonhole must contain more than one object.
In this case, the "pigeonholes" are the different possible combinations of answers for the 5 questions, and the "objects" are the students in the class.
Since there are 4 possible responses for each question, there are 4^5 = 1024 possible combinations of answers.
Now, suppose there are only 1023 students in the class.
Each student can choose one of the 1024 possible combinations of answers, and since there are more students than combinations, at least one combination must be chosen by two or more students.
Here are 5 questions, the total number of different answer sheets is 4^5 = 1024.
This represents the "pigeonholes." 3.
To guarantee that at least two answer sheets are identical, we need 1024 + 1 = 1025 students. This represents the "pigeons.
" According to the Pigeonhole Principle, if there are n pigeonholes and n+1 pigeons, at least one pigeonhole must contain at least two pigeons.
In this case, having 1025 students (pigeons) ensures that at least two students have identical answer sheets (pigeonholes).
But we want to guarantee that at least 2 answer sheets are identical.
This means we need to have one more student than the number of possible combinations, so that there is no way for each combination to be chosen by a different student.
Therefore, the minimum number of students required in the professor's class is 1024 + 1 = 1025.
So if there are 1025 or more students in the class, we can be sure that at least two answer sheets must be identical.
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The record high temperature is 124 F the record low temperature for the same state is -8. What is the range integer? (Write and solve equation). Help please :(
Answer:
here it's 124°F so if we subtract 8 in 124 it will be 124-8= 114°F
now the range = height - lowest = 124°- 114°F = 8° F
Tony is reseeding the front lawn. The lawn covers 2,500 square feet and grass seed is $15.98 for each 7-pound bag. Each pound of grass seed covers 150 square feet. How many bags are needed to seed the 2500 square feet lawn?
Answer:17 bags that cost 271.66$
Step-by-step explanation:
2500 / 150 = 16.6666
You cant buy 2/3 of a bag so you have to buy 17 bags.
17 x 15.98 = 271.66$
two hikers travel 8 mi southeast and then 6 mi east. find the hikers distance and bearing from their starting point at this time
The hiker's distance and bearing from their starting point are approximately 7.155 miles and 28.07°, respectively.
Given that two hikers travel 8 mi southeast and then 6 mi east, we are to find the hikers distance and bearing from their starting point at this time.Long ExplanationThe bearing of the hiker refers to the angle between the hiker's direction and North. So, let us assume that the hiker has initially moved at a direction East, as shown below:We are given that the hiker has traveled 8 miles to the southeast.
Therefore, from the diagram, the distance traveled in the East direction is 8 sin(45) miles, and the distance traveled in the South direction is 8 cos(45) miles. East = 8 sin(45) = 8/√2 = 4√2 miles South = 8 cos(45) = 8/√2 = 4√2 miles We are then told that the hiker travels 6 miles east, from the last position.
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Someone please give me correct answer
Answer:
(0,6)
Step-by-step explanation:
Pre-SolvingWe are given a line, and we want to find the y-intercept of this line.
The y-intercept is the point where the line intersects the y-axis. The value of x at the y-axis is 0.
SolvingSince the value of x at the y-axis is 0, we can get rid of the options (6,0) and (2,0).
The y-axis is the vertical line; at the top of the graph, the line labeled 'y' is the y-axis.
If we look at the y-axis, we can see that the point (0,6) is shared between both the y-axis and the line.
Therefore, the y intercept of this point is (0,6).
find the average speed of a world-class sprinter (to the nearest tenth) if he runs 100 yards in 10 sec
The Average speed of a world class sprinter, is he runs 100 yards in 10 sec is 36 km/h.
If an athlete can run 100 meters in 10 seconds, It is said that he cannot run 10 meters in one second. That may also apply to the physical world we live in. But you clearly state that you want to say mathematically whether he ran 10 meters in his 1 second.
If a sprinter runs 100 meters in 10 seconds, then, First, we need to convert meters to kilometers and seconds to hours. 1 meter = 1/1000 kilometers 100 meters = 100/1000 kilometers = 1/10 = 0.1 kilometers 1 second = 1/3600 hours 10 seconds = 10/3600 = 1/360 hours.
Now,
According to the question:
Given that,
Distance covered by sprinkler = 100m
Time taken by sprinkler = 10 seconds
Using the equation of velocity
Distance/ Time = velocity
Now, substituting the values -
= 100/10
= 10
Thus, the velocity is 10m/s
To convert it into m/s in to km/h -
= (10/1000) x 3600
= 36000/1000
= 36
Therefore, The average velocity of sprinkler is 36 km/h
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A $525,000 adjustable rate mortgage is expected to have the following payments:
Year Interest Rate Monthly Payment
1-5 4%
$2,506.43
6-15 6%
$3,059.46
16-25 8%
$3,464.78
26-30 10%
$3,630.65
A fixed-rate mortgage in the same amount is offered with an interest rate of 4.65%.
What is the difference in the total cost between the two mortgages, rounded to the nearest dollar?
A spreadsheet was used to calculate the correct answer. Your answer may vary slightly depending on the technology used.
$176,580
$878,626
$158,184
$394,911
Rounding this to the nearest dollar gives a final answer of A) 175,924, which is closest to option (A) 176,580.
To calculate the total cost of each mortgage, we need to consider the total amount paid over the life of the loan, which includes both the principal and interest.
For the adjustable rate mortgage (ARM), we can use the given payment schedule to calculate the total payments for each period:
Years 1-5: 2,506.43 x 12 months/year x 5 years = 150,385.80
Years 6-15: 3,059.46 x 12 months/year x 10 years = 367,135.20
Years 16-25: 3,464.78 x 12 months/year x 10 years = 415,773.60
Years 26-30: 3,630.65 x 12 months/year x 5 years = 217,839.00
Adding up these payments gives a total of 1,151,133.60 for the ARM.
For the fixed-rate mortgage (FRM), we can use a loan calculator to determine the monthly payment. Using an online calculator, we find that the monthly payment for a 30-year FRM with a loan amount of 525,000 and an interest rate of 4.65% is 2,712.25. Multiplying this by the number of months in 30 years gives a total payment of 975,210.00 for the FRM.
The difference in the total cost between the two mortgages is therefore
1,151,133.60 (ARM) - 975,210.00 (FRM) = 175,923.60
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GEOMETRY
Which pair of angles are alternate interior angles of parallel lines e and f?
a° and c°
a° and b°
a° and d°
b° and d°
Answer: C
Step-by-step explanation
The pair of angles are alternate interior angles of parallel lines e and f is a° and b°. Therefore, option B is the correct answer.
What are angles of parallel lines?Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.
Given that, e and f are parallel lines and m and n are parallel lines.
Alternate interior angles of parallel lines e and f from the given figure are
a° and b°
d° and c°
Therefore, option B is the correct answer.
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a variable way to practice variables… variables are basically something that changes in the experiment. follow along in this activity and we will practice identifying variables….both ones that we do know about and ones that we might not see at first… a quick recap… use your notes to quickly define these three terms… hypothesis: independent variable: dependent variable: first, let’s make sure you know how to write a hypothesis: take a look at these questions one might ask and create a hypothesis. remember your formula! i wonder if the number of books i read will help me get smarter? hypothesis: i wonder what will happen to my plant if i leave it in the closet with no light? hypothesis: i wonder if exercising will help me get stronger? hypothesis: now, read the following hypotheses and identify the different variables. if you increase the number of hours of daylight a plant receives, then the plant will grow taller. independent : dependent: if you increase the amount of fish in the water, then you will increase the number of sharks in the area. independent : dependent: if you increase the amount of milk you drink, then you will increase the strength of your bones. independent : dependent: if you increase the number of hours you spend in practice, then you will increase the number of free throw shots you will make. independent : dependent: final practice in this section, you will read about two experiments. please write a hypothesis and identify the different variables. – independent and dependent. i am doing a test to see if there is a connection between how long you run and how fast your heart beats. i will be performing an experiment where a person will run for a 1 minute and i will check their heartbeat. then they will run for 2 minutes and i will check their heart rate. i will do this up to 6 minutes and see if there is a connection. what do you think my hypothesis should be? what are my variables? hypothesis: independent variable: dependent variable: the oc fair is right around the corner and your pig is on the plump side, tipping the scale at almost 300 pounds. you think, mrs. piggy needs to go on a diet to maintain a market ready weight of 280. to have her lose weight, you decide to place her on an all banana diet because you read on the internet it can take off 20 pounds in a week. you want to test this idea and see if it actually works. you plan to feed her a normal diet for the next week and keep track of her weight every morning. then, you plan to feed her nothing but bananas for a week and track her weight each morning. what do you think your hypothesis should be? what will the variables of your experiment be? hypothesis: independent variable: dependent variable:
In the first experiment, the hypothesis could be: If the duration of running increases, then the heart rate will increase.
The independent variable is the duration of running, and the dependent variable is the heart rate.
In the second experiment, the hypothesis could be: If the pig is fed only bananas for a week, then it will lose 20 pounds.
The independent variable is the diet (normal diet vs. all banana diet), and the dependent variable is the pig's weight.
Hypothesis: If the number of books I read increases, then I will get smarter.
Hypothesis: If I leave my plant in the closet with no light, then something will happen to it.
Hypothesis: If I exercise, then I will get stronger.
In the first hypothesis, the independent variable is the number of books read, and the dependent variable is getting smarter.
In the second hypothesis, the independent variable is leaving the plant in the closet with no light, and the dependent variable is the effect on the plant.
In the third hypothesis, the independent variable is exercising, and the dependent variable is getting stronger.
In the first experiment, the hypothesis could be: If the duration of running increases, then the heart rate will increase.
The independent variable is the duration of running, and the dependent variable is the heart rate.
In the second experiment, the hypothesis could be: If the pig is fed only bananas for a week, then it will lose 20 pounds.
The independent variable is the diet (normal diet vs. all banana diet), and the dependent variable is the pig's weight.
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