Answer:
Step-by-step explanation:
-5(2y + 3) +5 = 40
-10y - 15 + 5 = 40
-10y = 40 +15 - 5
-10y = 50
y =\(\frac{50}{-10\\}\)
y = -5
DUE IN AN HOUR HELP!!!!
Answer:
D. x=4
Step-by-step explanation:
32. m<1=m<2 ==> angle bisectors divide an angle into two equal angles
m<2=m<RQP
m<1=m<SQP
m<RQP+m<SQP=m<SQR
m<2+m<1=m<SQR
m<2+m<2=m<SQR
(2+7x)+(2+7x)=16x-4
2+7x+2+7x=16x-4
2+2+7x+7x=16x-4
4+14x=16x-4
4-4+14x=16x-4+4
4+4+14x=16x-4+4
14x+8=16x
14x-14x+8=16x-14x
8=2x
x=8/2
x=4 ==> D
Select ALL that are true about the relation below.
Answer:
This relation is not a function
The domain is [-5, -2, 0, 4, 5]
The range is [-3, -2, 0, 1, 3, 4]
Step-by-step explanation:
There are two points on the same x-axis
The points' x-axis
The points' y-axis
use technology to find points and then graph the function y=2^x-4, following the instructions below.( plot atleast four points with integer coordinates that fit the axes below)
The graph of y=2ˣ-4 is as shown.
How to plot the graph in desmos?To graph the function y=2ˣ-4 and plot some points with integer coordinates, we can use a graphing calculator or an online graphing tool. Here are the steps:
Open a graphing tool, such as Desmos or GeoGebra.
Enter the function y=2ˣ-4 in the equation editor or function input box.
Adjust the x-axis and y-axis to fit the desired range. For example, we can set the x-axis from -5 to 5 and the y-axis from -5 to 10.
Plot some points with integer coordinates that fit the axes. Here are four possible points:
When x=0, y=2⁰-4= -2, so the point (0,-2) is on the graph.
When x=1, y=2¹-4= -2, so the point (1,-2) is on the graph.
When x=-1, y=2⁻¹-4= -4.5, so the point (-1,-4) is on the graph.
When x=2, y=2²-4= 0, so the point (2,0) is on the graph.
Plot these points on the graph by clicking or tapping on the corresponding locations. The graphing tool will connect the points and draw the graph of the function.
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please help! Write the equation of line that has a y-intercept of -6 snd a slope of 3
Answer:
y=3x+6
Step-by-step explanation:
the equation of a line in
slope-intercept form
is.
xy=mx+b
A fox leaves its den and travels 725 yards northeast, then 950 yards west. How far, in yards is the fox from its den
Answer:
1,675
Step-by-step explanation:
add it
Using Pythagoras, the distance of the fox from its den would be 533.26 yards
Hypotenus = 900 yards Adjacent = 725 yards Distance from den = oppositeOpposite = √hypotenus² - adjacent²
Distance = √(900)² - (725)²
Distance = √810000 - 525625
Distance = √284375
Distance = 533.26 yards
Therefore, the fox is 533.26 yards from his den.
Learn more : Opposite = √hypotenus² - adjacent²
The data from a study relating to the life span of houseflies is normally distributed. The mean is 18 days and the standard deviation is 3 days
Answer:
huntombros avatar
90% of people marry their 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u
Step-by-step explanation:
Please help me ASAP I’ll Mark Brainly
Answer:72
Step-by-step explanation:
Answer:
3(4 + 3 + 17)
Step-by-step explanation:
The greatest common factor of the three numbers is 3. The equation would then become 3(4 + 3 + 17)
I would love some help please 11-13
(11) The value of expression 3/y + 2y/4 when y = 4 is \(2\frac{3}{4}\).
Hence the correct option is (b).
(12) The value of expression 12/y + 3y/4 when y = 8 is \(7\frac{1}{2}\).
Hence the correct option is (c).
(13) 2x/3 + 4 = 10 equation does x = 9.
Hence the correct option is (b).
(11) The given expression is,
3/y + 2y/4 = 3/y + y/2
Substituting the value of y = 4 we get,
3/4 + 4/2 = 3/4 + 2 = \(2\frac{3}{4}\).
Hence the correct option is (b).
(12) The given expression is,
12/y + 3y/4
Substituting y = 8 in the given equation we get,
12/8 + (3*8)/4 = 3/2 + 6 = 1 + 1/2 + 6 = \(7\frac{1}{2}\).
Hence the correct option is (c).
(13) Given the solution is x =9.
For first option: (2/3)*9 - 6 = 6 - 6 = 0
2x/3 - 6 = 12 does not satisfied by x = 9.
For second option: (2/3)*9 + 4 = 6 + 4 = 10
So, x = 9 satisfies 2x/3 + 4 = 10.
For third option: 3*9 - 12 = 27 - 12 = 15
So x = 9 does not satisfy 3x - 12 = 21.
For fourth option: 3*9 + 12 = 27 + 12 = 39
So x = 9 does not satisfy 3x + 12 = 19.
Hence the correct option is (b).
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For the function y = -1+6 cos (39(x-5) (x-5), what is the minimum value?
m = 0 , b = - 1+6cos (39)...
Which fraction is in lowest terms (simplest form) 12/18
Answer:
2:3
Step-by-step explanation:
Just divide each by 6
Answer:
2/3 is the simplest form
Step-by-step explanation:
Both numbers are divisible by 6. After division we're left with 2/3, which cannot be divided any more
A marketing firm is considering making up to three new hires. Given its specific needs, the management feels that there is a 60% chance of hiring at least two candidates. There is only a 6% chance that it will not make any hires and a 16% chance that it will make all three hires.
Required:
a. What is the probability that the firm will make at least one hire?
b. Find the expected value and the standard deviation of the number of hires.
Answer:
a. 0.94 = 94% probability that the firm will make at least one hire.
b. The expected value of the number of hires is 1.7, and the standard deviation is 0.8062.
Step-by-step explanation:
There is only a 6% chance that it will not make any hires
This means that P(X = 0) = 0.06.
16% chance that it will make all three hires.
This means that \(P(X = 3) = 0.16\)
60% chance of hiring at least two candidates.
This means that:
\(P(X = 2) + P(X = 3) = 0.6\)
\(P(X = 2) + 0.16 = 0.6\)
\(P(X = 2) = 0.44\)
Probability of one hire:
The sum of all probabilities, from no hires to three hires, is 1. So
\(P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 1\)
\(0.06 + P(X = 1) + 0.16 + 0.44 = 1\)
\(P(X = 1) = 0.66 = 1\)
\(P(X = 1) = 0.34\)
a. What is the probability that the firm will make at least one hire?
\(P(X \geq 1) = 1 - P(X = 0) = 1 - 0.06 = 0.94\)
0.94 = 94% probability that the firm will make at least one hire.
b. Find the expected value and the standard deviation of the number of hires.
Expected value:
\(E(X) = 0.06*0 + 0.34*1 + 0.44*2 + 0.16*3 = 1.7\)
Standard deviation:
\(S(X) = \sqrt{0.06*(0-1.7)^2 + 0.34*(1-1.7)^2 + 0.44*(2-1.7)^2 + 0.16*(3-1.7)^2} = 0.8062\)
The expected value of the number of hires is 1.7, and the standard deviation is 0.8062.
The scale on a map is 1:320000
What is the actual distance represented by 1cm?
Give your answer in kilometres.
By answering the presented question, we may conclude that Therefore, 1 expressions cm on the map corresponds to a real distance of 3.2 km.
what is expression ?In mathematics, an expression is a collection of integers, variables, and complex mathematical (such as arithmetic, subtraction, multiplication, division, multiplications, and so on) that describes a quantity or value. Phrases can be simple, such as "3 + 4," or complicated, such as They may also contain functions like "sin(x)" or "log(y)". Expressions can be evaluated by swapping the variables with their values and performing the arithmetic operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.
Scale 1:
320000 means that 1 unit on the map represents his 320000 units in the real world.
To find the actual distance represented by 1 cm on the map, you need to convert the units to the same scale.
1 kilometer = 100000 cm
So,
1 unit on the map = 320000 units in the real world
1 cm on the map = (1/100000) km in the real world
Multiplying both sides by 1 cm gives:
1 cm on the map = (1/100000) km * 320000
A simplification of this expression:
1 cm on the map = 3.2 km
Therefore, 1 cm on the map corresponds to a real distance of 3.2 km.
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Which has a greater average rate of change over the interval where -1≤x≤3; the function
g(x)=x²+6x or the function f(x) = 2*. Provide justification for your answer.
Answer: Step-by-step explanation:
To find the average rate of change of a function over an interval, we can use the following formula:
average rate of change = (y2 - y1)/(x2 - x1)
Where x1 and x2 are the values of x at the beginning and end of the interval, and y1 and y2 are the corresponding values of the function at those points.
In this case, we are asked to compare the average rate of change of the functions g(x) and f(x) over the interval where -1≤x≤3.
For the function g(x) = x²+6x, we can plug in the given values for x1, x2, y1, and y2 to find the average rate of change:
average rate of change = (g(3) - g(-1))/(3 - (-1))
= (9 + 18 - (1 - 6))/(4)
= 27/4
= 6.75
For the function f(x) = 2, we can plug in the given values for x1, x2, y1, and y2 to find the average rate of change:
average rate of change = (f(3) - f(-1))/(3 - (-1))
= (2 - 2)/(4)
= 0
Since the average rate of change of the function g(x) is greater than the average rate of change of the function f(x), the function g(x) has a greater average rate of change over the interval where -1≤x≤3.
I hope this helps clarify the comparison of the average rate of change for these two functions. Do you have any other questions?
Roberto made a line plot to show the weight in pounds of the bags of granola in his store he concluded that the total weight of the granola was 2/1/2+2/3/4+3=8/1/4 pounds
The correct total weight of the bags of granola is 8 1/4 pounds.
One thing that can be done to improve Roberto's reasoning is to ensure the accuracy of the calculations.
In his conclusion, Roberto added the weights of the bags of granola (2 1/2, 2 3/4, and 3) and claimed that the total weight was 8 1/4 pounds. However, the sum of these weights does not equal 8 1/4 pounds.
To address this, Roberto should recheck his calculations. Adding mixed numbers involves adding the whole numbers separately and then adding the fractions separately. In this case, 2 1/2 + 2 3/4 + 3 can be calculated as follows:
2 + 2 + 3 = 7 (sum of whole numbers)
1/2 + 3/4 = 2/4 + 3/4 = 5/4 = 1 1/4 (sum of fractions)
Thus, the correct sum is 7 + 1 1/4 = 8 1/4 pounds.
By double-checking the calculations and providing the accurate sum, Roberto's reasoning would be more precise, reliable, and free from errors.
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The probable question may be:
Roberto made a line plot to show the weight in pounds of the bags of granola in his store he concluded that the total weight of the granola was 2 1/2+2 3/4+3=8 1/4 pounds.
what is one thing that you could do to Roberto's Reasoning
the belt (orbit) of the asteroids is located between . group of answer choices venus and mercury saturn and uranus jupiter and mars earth and mars
The main belt is not located between these all planets.
What is orbit?
A route that an object in space follows around another is known as an orbit. A satellite is a thing that orbits the earth. An Earth- or moon-like natural satellite is one possibility. Moons are satellites that orbit many planets. A man-made satellite is also possible, such as the International Space Station.
The belt of asteroids is located between the orbits of Mars and Jupiter. The asteroids in this region, known as the main belt, are made up of small rocky bodies that orbit the sun in a region between about 2.2 and 3.2 astronomical units (AU) from the sun.
The distance from the sun to the Earth is about 1 AU, and the distance from the sun to Venus is about 0.7 AU, so the main belt is located beyond the orbits of both Venus and Earth.
The orbits of Saturn and Uranus are much farther out from the sun, at distances of about 9.5 and 19.2 AU, respectively, so the main belt is not located between these planets.
Hence, The main belt is not located between these all planets.
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ITS THE FOURTH QUESTION
The surface areas of the figures are 336, 82 and 836
How to calculate the surface areasFrom the question, we have the following parameters that can be used in our computation:
The figures
For the triangular prism, we have
Surface area = 2 * 1/2 * 6 * 8 + 12 * 10 + 8 * 12 + 6 * 12
Surface area = 336
For the rectangular prism, we have
Surface area = 2 * (7 * 3 + 3 * 2 + 2 * 7)
Surface area = 82
For the cylinder, we have
Surface area = 2π * 7 * (7 + 12)
Surface area = 836
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The surface area of the prisms are
1. 336 cm²
2. 82 m²
3. 836 cm²
What is surface area?The area occupied by a three-dimensional object by its outer surface is called the surface area.
A prism is a solid shape that is bound on all its sides by plane faces.
The surface area of prism is expressed as;
SA = 2B +pH
where B is the base area , p is the perimeter and h is the height.
1. SA = 2B +ph
B = 1/2 × 6 × 8
= 24 m²
p = 6+8+10 = 24m
h = 12m
SA = 2 × 24 + 24 × 12
= 48 + 288
= 336 cm²
2. SA = 2( 3× 2) + 3× 7)+ 2 × 7)
= 2( 6+21+14)
= 2( 41)
= 82 m²
3. SA = 2πr( r +h)
= 2 × 3.14 × 7( 7 + 12)
= 44( 19)
= 836 cm²
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A bank loaned out 20,500, part of it at the rate of 9% annual interest, and the rest at 11% annual interest the total interest earned for both loans was 2,225.00 how much was loaned at each rate
The money loaned at 9% annual interest was 1500 and the money loaned at 11% annual interest was 19000.
Let the amount of money loaned at 9% be x
the amount of money loaned at 11% be y
According to the question,
Total money loaned = 20,500
Thus the equation formed is,
x + y = 20,500 ------ (i)
Simple interest is calculated by
I = P * r * t
where I is the simple interest
r is the rate of interest
t is the time
Thus, the interest on x = 0.09x
the interest on y = 0.11y
Total interest gained = 2,225
Thus the equation formed is,
0.09x + 0.11y = 2225 -------(ii)
Multiply (i) by 0.09
0.09x + 0.09y = 1845
Subtract the above from (ii)
0.02y = 380
y = 19000
x = 1500
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Order the length and width measurements so that their area is maximized and goes from highest area to lowest area4 units by 4 units1-6 units by 2 units2-5 units by 3 units1 unit by 7 unitsThe maximum area is ____ft in widthft in length by ______...
Answer:
The correct option is number 2numbe
The maximum area is 5 ft in width and 3 ft in length.
Explanation:
The area is maximized when the length and width are of equal lengths.
The closer together the length and width are, the better.
From the given options,
5 units by 3 units is the best.
The maximum area is 5 ft in width and 3 ft in length.
A rectangular park has a perimeter of 374 feet and a length of 65 feet.
What is the width of the park?
Answer: 122
Step-by-step explanation:
▪︎ Perimeter = (width + length) * 2
374 = (width + 65) * 2
width + 65 = 374 / 2
width + 65 = 187
width = 187 - 65
width = 122
A scale drawing of a house uses a scale of 0.5 inches = 2 feet what is the length in inches of a line on the scale drawing that represents an actual length of 5 feet.
Answer:
We can use ratios for solve this problem
Cross multiply to get:
Lastly, divide both sides by 2 to isolate x
The line will be 1.25 inches
Hope this helps!
P.s. can I get Brainliest?
ASAP!!! Answer the following include all steps
Question 1:
(a) The equation representing Elaine's total parking cost is:
C = x * t
(b) So the cost of parking for a full 24 hours would be 24 times the cost per hour.
Question 2:
The given system of equations is inconsistent and has no solution.
(a) To represent Elaine's total parking cost, C, in dollars for t hours, we need to know the cost per hour. Let's assume the cost per hour is $x.
(b) If Elaine wants to park her car for a full 24 hours, we can substitute t = 24 into the equation from part (a):
C = x * 24
Question 2:
To solve the linear system:
-x - 6y = 5
x + y = 10
We can use the elimination method.
Multiply the second equation by -1 to create opposites of the x terms:
-x - 6y = 5
-x - y = -10
Add the two equations together to eliminate the x term:
(-x - 6y) + (-x - y) = 5 + (-10)
-2x - 7y = -5
Now we have a new equation:
-2x - 7y = -5
To check the answer, we can substitute the values of x and y back into the original equations:
From the second equation:
x + y = 10
Substituting y = 3 into the equation:
x + 3 = 10
x = 10 - 3
x = 7
Checking the first equation:
-x - 6y = 5
Substituting x = 7 and y = 3:
-(7) - 6(3) = 5
-7 - 18 = 5
-25 = 5
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Selena went cliff diving. Her height as a function of time could be modeled by the function h(t)=-16t^2+16t+480, where t is time in seconds and h is height in feet.
How long does it take Selena to reach her maximum height?
What is Selena's maximum height?
How long does it take Selena to hit the water?
Selena will take 0.5 sec to reach maximum height and maximum height attained is 484 feet and she will take 6 seconds to hit water.
What are quadratic equations?
Due to the fact that the variable is squared, the word "quadratic," which means "square," was coined (like x²).
Another name for it is "Equation of Degree 2." (because of the "2" on the x).
Given, the height function is h(t) = -16t²+16t+480
The maximum height is when, h'(t)=0
Thus, differentiating the function h(t), with respect to t and equating to 0, we get,
-32t+16=0
⇒ 32t = 16
⇒ t = 16/32
⇒ t = 0.5 s
It takes Selena 0.5 sec to reach maximum height
Now substituting t=0.5, in the h(t) equation to get height in feet.
-16(0.5)² + 16(0.5) + 480
= -4 + 8 + 480
= 484 feet
Maximum height attained is 484 feet
To hit water, we need to equate h(t) equation to 0.
-16t²+16t+480 = 0
⇒ -16(t²-t-30)=0
⇒ (t-6)(t+5) = 0
Equating this, we get t=6sec and t=-5sec. Since, time cannot be negative, it takes Selena 6 seconds to hit water.
Selena will take 0.5 sec to reach maximum height and maximum height attained is 484 feet and she will take 6 seconds to hit water.
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What type of transformation is shown?
Answer:
the third one.
Step-by-step explanation:
clockwise rotation of 90*
Answer:
clockwise rotation of 90 degrees
Step-by-step explanation:
Please put me as brainliest answer :)
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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12x+9y=162. Fully reduce your answer.
Answer:
y=-1 1/3+18
Step-by-step explanation:
isolate the y and divide both by 9
the expression negative five eighths times k minus 8 plus the expression 2 plus one third times k
7 over 24 times k plus negative 6
negative 4 over 11 times k plus negative 10
negative 7 over 24 times k plus negative 6
negative 23 over 24 times k plus negative 10
After solving the expression, the value is negative 7 over 24 times k plus negative 6. Therefore, option C is correct.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.
A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given statement for the expression,
-(5/8)k - 8 + 2 + (1/3)k
Take LCM as 24 and solve the equation,
(-7k - 144) / 24
= (-7/24)k - 6
Therefore, this concludes that option C is correct.
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What is 1(y), when y=-7/12?
Answer: -7/12
Step-by-step explanation: an number multiplied by 1 is itself
pls help me i will give u thanks
Answer:
c) (6,5)
Step-by-step explanation:
The horizontal axis represents x values
The vertical axis represents y values
I need y’all to tell me step by step and the answer please
Answer:
It will take her 10.5 hours to read the book
Step-by-step explanation:
She averages 16 pages every 30 minutes. If you take 336 and divide it by 16, you get 21 hours. But since she is reading 16 pages every half hour, that wouldn be correct. If it is asking how many hours it will take her to read the book, you have to take 16 and multiply it by 2. Then you get 32. Then, do the equation again. 336 divided by 32 is 10.5. So, if she reads the entire book in one go, it will take her 10 and a half hours to read the entire book, or 10.5.
Answer:
10.5 hours
Step-by-step explanation:
If she reads 16 pages in 30 minutes then we need to find how many 16 pages are in 336
336/16 = 21 so it will take her 21 * 30 minutes to read the whole book
21 * 30 = 630 minutes now divide this by 60
630/60 = 10.5 hours
The population of North Carolina was approximately 9.5 million in 2010. The population has increased by about 1.3% per year. If the population continues to grow at this rate, in what year will North Carolina’s population reach 12 million?
The population of North Carolina will reach 12 million in the year 2028.
What is Population Growth?Population growth is defined as the increase in the number of people which is calculated using population growth rate.
Given that,
Population in 2010 = 9.5 million
Population is increasing to 1.3% per year.
Annual growth rate = 1.3% = 1.3/100 = 0.013
We have the population growth formula,
P = P₀ e^(r t)
Here, P₀ = 9.5 million = 9,500,000
and P = 12 million = 12,000,000
r = 0.013
We have to find t.
12,000,000 = 9,500,000 e^(0.013t)
120 / 95 = e^(0.013t)
Taking natural logarithm on both sides and also ㏑(e^m) = m ㏑ e, we get,
㏑(12/9.5) = 0.013t × ㏑e
[㏑(12/9.5) ÷ 0.013] = t [since ln e = 1]
t = 17.97 ≈ 18 years
The year is 2010 + 18 = 2028
Hence in the year 2028, the population will be 12 million.
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