Richard went to a zipline park for his birthday. richard travels on the zipline at a constant rate.
the points on the following coordinate plane show how many feet he travelled in 2, 3, and 4 seconds while riding one of the ziplines.
how far does richard travel on the zip line in 1 second?
Richard Travel 40 feet on the zip line in 1 sec
The diagram is missing and hence the diagram.is shown below
Distance is the total movement of an object without any regard to direction.
A coordinate plane is a two-dimensional plane formed by the intersection of two number lines. One of these number lines is a horizontal number line called the x-axis and the other number line is a vertical number line called the y-axis
According to given Diagram
120 - 80 = 40 feet
On the Zip line
80-40=40
So the richard travels 40 feet on the zip line in 1 sec
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Pentagon ABCDE and pentagon A″B″C″D″E″ are shown on the coordinate plane below:
Which two transformations are applied to pentagon ABCDE to create A″B″C″D″E″?
The transformations that are applied to pentagon ABCDE to create A"B"C"D"E" are:
1) Translation (x, y) → (x + 8, y + 2)
2) Reflection across the x-axis (x, y) → (x, -y)
So, the overall transformation given in the graph is (x, y) → {(x + 8), -(y + 2)}.
What are the transformation rules?The transformation rules are:
Reflection across x-axis: (x, y) → (x, -y)Reflection across y-axis: (x, y) → (-x, y)Translation: (x, y) → (x + a, y + b)Dilation: (x, y) → (kx, ky)Calculation:The pentagons in the graph have vertices as
For the pentagon ABCDE: A(-4, 5), B(-6, 4), C(-5, 1), D(-2, 2), and (-2, 4)
For the pentagon A"B"C"D"E": A"(4, -7), B"(2, -6), C"(3, -3), D"(6, -4), and E"(6, -6)
Consider the vertices A(-4, 5) from the pentagon ABCDE and A"(4, -7) from the pentagon A"B"C"D"E".
Applying the Translation rule for the pentagon ABCDE:
The rule is (x, y) → (x + a, y + b)
So, the variation is
-4 + a = 4
⇒ a = 4 + 4 = 8
5 + b = 7
⇒ b = 7 - 5 = 2
So, the pentagon ABCDE is translated by (x + 8, y + 2).
Applying the Reflection rule for the translated pentagon:
The translated pentagon has vertices (x + 8, y + 2).
When applying the reflection across the x-axis,
(x + 8, y + 2) → {(x + 8), -(y + 2)}
Therefore, the complete transformation of the pentagon ABCDE to the pentagon A"B"C"D"E" is (x, y) → {(x + 8), -(y + 2)}
Verification:
A(-4, 5) → ((-4 + 8), -(5 + 2)) = (4, -7)A"
B(-6, 4) → ((-6 + 8), -(4 + 2)) = (2, -6)B"
C(-5, 1) → ((-5 + 8), -(1 + 2)) = (3, -3)C"
D(-2, 2) → ((-2 + 8), -(2 + 2)) = (6, -4)D"
E(-2, 4) → ((-2 + 8), -(4 + 2)) = (6, -6)E"
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find the mod points of line AB where point A and B have coordinate (2,3) and (4,5)
Answer:
( 3 , 4 )
Step-by-step explanation:
Midpoint Formula: ( (x1+x2)/2 , (y1+y2)/2 )
Distance Formula: d = √[(x1-x2)^2 + (y1-y2)^2]
Gradient (Slope) Formula: (y2-y1) / (x2-x1)
Midpoint Formula:
( (x1+x2)/2 , (y1+y2)/2 )
(2,3) and (4,5)
( (2+4)/2 , (3+5)/2 )
( (6)/2 , (8)/2 )
( 3 , 4 )
wyzant sean w
A farmer has a piece of land with an area of 4 square yards. If a cow can graze grass at a rate of 2 square feet per hour, how long will it take 3 cows to graze the entire piece of land
Answer:
2 hours
Step-by-step explanation:
4 square yards to feet: 4*3 = 12ft
3 cows grazing grass at 2 ft per hour: 2*2 = 6 square ft per hour
Time taken: 12ft/6ft per hour = 2 hours
is 3(2x + 1) equal to 5x + 4
Answer:no but maybe
Step-by-step explanation:if you distribute the 3 and multiply the 3 with box the 2 and 1 you would get 6x+3 which is not equal to 5x+4 but if you take one from the 6 and add it to the 3 it would be even so i dont know but maybe
Which of the following is a key property of the quadratic parent function?
OA. It is in quadrants III and IV.
OB. Its vertex is at the origin.
C. It is not a parabola.
OD. It is not a function.
The correct property of the quadratic parent function is given by:
B. Its vertex is at the origin.
What is the quadratic parent function?The quadratic parent function is modeled by:
y = x².
It has the vertex at the origin and increases to the left and to the right, into quadrants I and II, forming a function that is graphed by a parabola.
Hence the correct option regarding a property of the quadratic parent function is given by:
B. Its vertex is at the origin.
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Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
The graph of the quadratic function f(x)=x² - 5x + 12 is a parabola which opens up.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The standard form of a quadratic equation is:
y = ax² + bx + c
The graph of a quadratic equation is a parabola.
The graph of the quadratic function f(x)=x² - 5x + 12 is a parabola which opens up.
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i do not know how to get the solutions
Answer: this is the solutions
Please help!!! Find the equation of the line, use exact numbers:
y=__x+__
(__ means to fill in)
The Drury Lane Theater has 10 seats in the first row and 38 rows in all. Each successive row contains one additional seat. How many seats are in the theater?
[tex]{anyone \: is \: here \: }[/tex]
Answer:
1083 seats
Step-by-step explanation:
i just answered that.
arithmetic sequence
a1 = 10
an = an-1 + 1 = a1 + (n-1)×1 = 10 + (n-1) = 9 + n
a38 = 9 + 38 = 47 seats
the sum of such an arithmetic sequence
n×(a1 + an)/2
in our case
38×(10 + 47)/2 = 19×57 = 1083 seats
A particular company's net sales, in billions, from 2008 to 2018 can be modeled by the expression t2 10t 68, where t is the number of years since the end of 2008. what does the constant term of the expression represent in terms of the context?
The company earned 68 billion dollars from 2008 to 2018.
According to the statement
we have given that the company's particular sales in expression are represented by (t² + 10t + 68)
And we have to find the constant terms in this expression which represent the sale of the company.
So, The given expression is (t² + 10t + 68)
From above expression it is clear that the it is in the form of Quadratic Equations.
So, The Quadratic equation, is an equation containing a single variable of degree 2. Its general form is ax^2 + bx + c = 0, where x is the variable and a, b,c are the known numbers and C is the Constant.
The general representation of Quadratic equation is
ax^2 + bx + c = 0 -(1)
and the given expression are
(t² + 10t + 68) -(2)
After comparing both equations
Here C =68 = Constant.
So, 68 is the Constant term of the expression represent in terms of the context.
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Disclaimer: The question was incomplete. Please find the full content below.
Question:
A particular company's net sales, in billions, from 2008 to 2018 can be modeled by the expression t2 + 10t + 68, where t is the number of years since the end of 2008. What does the constant term of the expression represent in terms of the context?
The company earned 68 billion dollars from 2008 to 2018.
The company earned 68 billion dollars in 2008.
The company earned 10 billion dollars from 2008 to 2018.
The company earned 10 billion dollars in 2008.
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Two sets of data both have a mean of 76. however, the first set has a standard deviation of 1.4 and the second set has a standard deviation of 5.7. what must be true about the two sets?
1) it is not possible to have two sets with the same mean and different standard deviations.
2) the first set of data has values that are closer to the mean because the standard deviation is lower.
3) the first set of data has values that are farther from the mean because the standard deviation is lower.
4) the second set has more data values than the first.
Option 2) the first set of data has values that are closer to the mean because the standard deviation is lower is correct
If two samples have the same mean, then it means that the two values in the two samples are centered around the same value. However, this does not mean that the data values in the samples vary equally around this center and thus the standard deviations may also differ.
It depends what the standard deviations are. The standard deviation is a measure of how close the results are to the mean, a low standard deviation means that the measurements are accurate, so close to the mean. A high standard deviation means that the measurements are more spread out.
We need to find that if two sets of data both have a mean of 76. however, the first set has a standard deviation of 1.4 and the second set has a standard deviation of 5.7. what must be true about the two sets
The first set of data has values that are closer to the mean because the standard deviation is lower because in first set standard deviation is 1.4 and in second set standard deviation is 5.7
The one with smaller standard deviation are least spead from the mean
Hence the first set of data has values that are closer to the mean because the standard deviation is lower.
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find the sum of all 2 digit multiples of 6
Answer:
The sum of all 2 digit multiples of 6 is 810
Step-by-step explanation:
12+18+24+30+36+42+48+54+60+66+72+78+84+90+96 = 810
Answer:
810
Step-by-step explanation:
2 digit multiples of 6 are 12,18,24...90,96
You can just add them on your calculator.
Find the area of the shape. ( image of 3/4 circle with the radius of 6 ) Answer in exact terms of pi or use 3.14 as pi and enter as a decimal.
The area of the shape is 84.78 square units
Area of a circleThe formula for calculating the area of a circle is expressed as:
A = πr²
where
r is the radius of a circle
Given the following
r = 6 units
pi = 3.14
Substitute
A = 3.14 * 6²
A = 113.04 square units
If the figure is 3/4 of a circle, the area of the shape will be:
A = 3/4 * 113.04
A = 84.78 square units
Hence the area of the shape is 84.78 square units
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How can i explain to children what the length of 2000 feet looks like to children
2000 feet can be represented as 20 blue whales in a row of each 100 feet.
What is a blue whale?
Blue whales are the largest mammals to have ever existed on Earth. With lengths of up to 100 feet and weights of up to 200 tons, these magnificent marine creatures command the waters.I feet = 30.48 centimeters
To explain what the length of 2000 feet looks like:
Take the example of a blue whale of 100 feet.
Now, imagine placing up 20 blue whales one behind the other.
20 × 100 feet = 2000 feet
Therefore, 2000 feet can be represented as 20 blue whales in a row of each 100 feet.
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Give the equation of the circle that has a diameter with endpoints G(-6, — 3) and
R(-6,-8).
Generally, the equation of a circle is organized like this: [tex](x-h)^2+(y-k)^2=r^2[/tex], where (h,k) is the centre and r is the radius.
Solving the QuestionWe're given the endpoints of the diameter: [tex](-6,-3)[/tex] and [tex](-6,-8)[/tex].
First, we can find the centre of the circle by finding the midpoint of these two endpoints.
[tex]midpoint=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]
Plug in the points:
[tex]midpoint=(\dfrac{-6+-6}{2},\dfrac{-3+-8}{2})\\\\midpoint=(-6,\dfrac{-11}{2})[/tex]
Therefore, the centre of the circle is [tex](-6,\dfrac{-11}{2})[/tex]. Plug this into the general equation:
[tex](x-h)^2+(y-k)^2=r^2\\\\(x-(-6))^2+(y-(-\dfrac{11}{2}))^2=r^2\\\\(x+6)^2+(y+\dfrac{11}{2})^2=r^2[/tex]
To find the radius of the circle, we can calculate the distance between the centre and one of the given endpoints:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Plug in the centre and one of the endpoints:
[tex]d=\sqrt{(-6-x_1)^2+(\dfrac{-11}{2}-y_1)^2}\\d=\sqrt{(-6-(-6))^2+(\dfrac{-11}{2}-(-3))^2}\\d=\sqrt{(-6+6)^2+(\dfrac{-11}{2}+3)^2}\\\\d=\sqrt{(0)^2+(-5.5+3)^2}\\\\d=\sqrt{(0)^2+(-2.5)^2}\\\\d=\sqrt{(0)^2+(-\dfrac{5}{2})^2}\\\\d=\sqrt{0+\dfrac{25}{4}}\\d=\sqrt{\dfrac{25}{4}}\\\\d=\dfrac{5}{2}[/tex]
Therefore, the radius of the circle is [tex]\dfrac{5}{2}[/tex]. Plug this into the general equation:
[tex](x+6)^2+(y+\dfrac{11}{2})^2=r^2\\\\(x+6)^2+(y+\dfrac{11}{2})^2=(\dfrac{5}{2})^2\\\\(x+6)^2+(y+\dfrac{11}{2})^2=\dfrac{25}{4}[/tex]
Answer[tex](x+6)^2+(y+\dfrac{11}{2})^2=\dfrac{25}{4}[/tex]
Dad has 15 oak and maple boards from the lumber yard. each oak board is 6 centimetres thick. each maple board is 9 centimetres thick. when my dad stacks the boards, the stack is 96 centimetres thick. how many of each type of board does he have?
Answer:
He has 2 maple boards and 13 oak boards.
Step-by-step explanation:
Assuming all boards are oak : 6*15=90
Maple minus oak = 3
96-90=6 6/3=2 maple boards
Verification : 2*9+6*13 = 96
Answer:
13 oak, 2 maple
Step-by-step explanation:
o = oak
m = maple
o + m = 15
6o + 9m = 96
o + m = 15
o = 15 - m
6o + 9m = 96
6(15 - m) + 9m = 96
90 - 6m + 9m = 96
90 + 3m = 96
3m = 6
m = 2
o + 2 = 15
o = 13
6(13) + 9(2) = 96 (Yes, correct!)
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There are 4 reb balls, 6 white balls, and 3 green balls in a bag. If one ball is drawn the bag at random, what is the probability that it is not white?
Answer:
7/13
Step-by-step explanation:
in all there are 13 balls and the number of balls that aren't white are 7
Answer:
7/13
Step-by-step explanation:
To find the probability that it is not white
P( not white) = number of balls that are not white / total balls
The balls that are not white are red and green = 4+3
= (4+3)/ ( 4+6+3)
= 7/13
The three steps for constructing a simple frequency distribution are Group of answer choices find the observed range, find the interval width, and construct the frequency distribution find the real range, count the scores, and construct the frequency distribution find the real range, find the interval width, and construct the frequency distribution all of the above
The correct option is C. find the real range, find the interval width, and construct the frequency distribution.
What is frequency distribution?To make the information easier to understand, frequency distributions are textured look which organise and present frequency counts. Absolute frequencies as well as frequency distributions, such as percentages or ratios, can be displayed in frequency distributions.
The real range is find by the following method-
Range is referred to as the difference between both the lower limit of the minimal interval and the upper limit of the maximal interval of the grouped data in the case of a continuous frequency distribution. That is true for the following ranges for X: 0–10, 10–20, 20–30, and 40–50; 4–0=40.The interval width is find by the following method-
The distance between both the lowest endpoint of one interval as well as the lowest endpoint of the following interval is known as the class interval width. Therefore, if the continuous intervals in our study range 0 to 4, 5 through 9, etc., the very first five intervals' widths are 5 and the final interval is open because no larger endpoints is allocated to it.To know more about the frequency distribution table, here
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The correct question is-
The three steps for constructing a simple frequency distribution are -
Group of answer choices
A. find the observed range, find the interval width, and construct the frequency distribution
B. find the real range, count the scores, and construct the frequency distribution
C. find the real range, find the interval width, and construct the frequency distribution
D. all of the above
can someone help me with this thanks
The length of the brace required is 4.3m
What is sine rule?
In a ΔABC a, b and c are the sides and A, B and C are angles then,
[tex]\frac{a}{SinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]
We can find the length, l as shown below:
Let AB=3m, BC=2m and AC=l
Let ∠A=25°
So, in ΔABC
[tex]\frac{BC}{sinA}=\frac{AB}{sinC}=\frac{AC}{SinB}[/tex]
[tex]\frac{BC}{sinA}=\frac{AB}{sinC}[/tex]
[tex]\frac{2}{sin25}=\frac{3}{sinC}[/tex]
[tex]\angle{C}=sin^{-1}(\frac{3\times sin25}{2} )[/tex]
∠C=39.34°
∠A+∠B+∠C=180°
∠B=180°-25°-39.34°
∠B=115.66°
[tex]\frac{BC}{sinA}=\frac{AC}{SinB}[/tex]
[tex]\frac{2}{sin25}=\frac{l}{sin(115.66)}[/tex]
[tex]l=\frac{2\times sin(115.66)}{sin25}[/tex]
l=4.2659
Rounding to nearest tenth of meter.
l=4.3m
Hence, the length of the brace required is 4.3m
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What is a Venn Diagram?
Answer:A Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things. Circles that overlap have a commonality while circles that do not overlap do not share those traits. Venn diagrams help to visually represent the similarities and differences between two concepts
Step-by-step explanation:
Answer:
uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items
Step-by-step explanation:
looks like circles that meet and overlap and
the middle part explains the relationship of both circles
example
if the left circle says water & right circle says freezing the middle part would say ice
mathworldwolfram
Select the correct statement.
A. seventeen thousand four hundred ninety two multiplied by seven over five is less than seventeen thousand four hundred ninety two
B. seventeen thousand four hundred ninety two multiplied by seven over five is equal to seventeen thousand four hundred ninety two
C. seventeen thousand four hundred ninety two is greater than seventeen thousand four hundred ninety two multiplied by seven over five
D. seventeen thousand four hundred ninety two multiplied by seven over five is greater than seventeen thousand four hundred ninety two
HELPPPPP
Answer:
I think it's (B) and (D)
Step-by-step explanation:
As to what I have studied
It cost jose $8.70 to send 87 text messages. How much would it cost to send 10 text messages?
Answer:
One dollar
Step-by-step explanation:
So you divide 8.70 by 87 to get 0.10. So then you multiply 0.10 by 10 to get a dollar
Sending 87 text messages cost $8.70. Sending 10 text messages would cost $1.00.
Use the concept of fraction defined as:
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.
Given that,
Cost to send 87 text messages: $8.70
Number of text messages: 87
To find out how much it would cost to send 10 text messages,
Use a proportion.
If it cost Jose $8.70 to send 87 text messages,
Set up the proportion:
$8.70 / 87 messages = x / 10 messages
To solve for x,
Cross-multiply and divide:
($8.70 x 10) / 87 = $1.00
Therefore, it would cost $1.00 to send 10 text messages.
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HELP!! Which of the following represents the graph of the equation y = 1/2 x +1
ANSWER - The first seems more accurate according to my view it's A
What is the length of a diagonal of a rectangle with a length of 8 meters and a width of 6 meters
Answer:
10 m
Step-by-step explanation:
If we draw the diagonal of the rectangle, we form a right triangle where the diagonal is the hypotenuse and the legs are 6 and 8.
This is a well-known Pythagorean triple, which gives the diagonal to be 10 m.
The 90% confidence interval for the mean one week amusing time in new york city is 5.22 less than mean less than 5.98 minutes construct a 95% confidence interval based on the same data which interval provides more information
The 95% confidence interval based on the same data is 5.15 < μ < 6.05
Because it has a longer interval, the 95 percent confidence interval offers more details.
What is a confidence interval?The likelihood that a parameter will fall between two values near the mean is shown by a confidence interval.
Confidence intervals quantify how certain or uncertain a sampling technique is.
Confidence intervals are used by statisticians to gauge the degree of uncertainty in a sample variable.
The 90% confidence interval is given by:
Mean - 1.645(S.D./[tex]\sqrt{n}[/tex]) < μ < Mean + 1.645(S.D./[tex]\sqrt{n}[/tex])
2μ = 5.22 + 5.98 = 11.2
μ = 11.2 / 2 = 5.6
Thus,
5.6 - 5.22 = 1.645(S.D./[tex]\sqrt{n}[/tex]) = 0.38
S.D./[tex]\sqrt{n}[/tex] = 0.38 / 1.645 = 0.231
The 95% confidence interval is given by:
Mean - 1.96(S.D./[tex]\sqrt{n}[/tex]) < μ < Mean + 1.96(S.D./[tex]\sqrt{n}[/tex])
=5.6 - 1.96(0.231) < μ < 5.6 + 1.96(0.231)
= 5.6 - 0.4528 < μ < 5.6 + 0.4528
= 5.15 < μ < 6.05
The 95% confidence interval provides more information because it has a larger interval.
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Why is it important to be able to express a clear and coherent argument visually or in writing? Think: where would you use this in the “real-world?”
It is important to be able to express a clear and coherent argument visually or in writing because without establishing coherence, your reader will not be able to know or understand the key points that you are trying to express or show.
Why is it important to have coherence in one's writing?Coherence is known to be a key quality for kind of good academic write up.
Note that in the area of academic writing, the ways that ideas flows is very important and as such, it need to be smooth and logical.
Therefore without coherent argument , the reader cannot understand the key points that a person is trying to show and thus hinders the readability of your work.
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A solid oblique pyramid has a square base with edges measuring x cm. the height of the pyramid is (x 2) cm.
The volume of a solid oblique pyramid with a square base with edges measuring x cm and height (x + 2) cm is (x³ + 2x²)/3 cm³
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The base of the pyramid is x cm while the height is x + 2, hence:
Volume of pyramid = (1/3) * area of square base * height = (1/3) * x * x * (x + 2) = (x³ + 2x²)/3 cm³
The volume of a solid oblique pyramid with a square base with edges measuring x cm and height (x + 2) cm is (x³ + 2x²)/3 cm³
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A recipe requires 150 grams of sugar to make 6 serves of a special desert how much sugar will be needed to make 15 serves of this desert?
Answer:
150g for 6 servings
x grams for 15 servings
150/6 = 25
15 x 25 = 375
375g of sugar will be required to make 15 servings.
At a community fund raiser event, bracelets cost $3 and necklaces cost $6. Complete the patterns in
the first two columns for the cost of 0, 1, 2, 3, and 4 pieces of jewelry. Write the ordered pair for the
corresponding terms in the third column. Then graph the ordered pairs.
I need to make a sequence for the cost of braclets (in dollars) and I also need to make an sequence for the cost of necklaces (in dollars)
please help :)
The sequence for the cost of bracelet in dollars = $0, $3, $6, $9 and $12.
Also the sequence for the cost of necklace is = $0, $6, $12, $18, $24.
Calculation of the various cost sequenceThe column given concerning the products contains the following amounts of products such as 0, 1, 2, 3, and 4 pieces.
Therefore to calculate the amount to be used to buy each product of bracelet and necklace in each column multiplication is carried out.
That is, 0×3, 1 ×3, 2×3, 3×3, and 4×3
which is = $0, $3, $6, $9 and $12 respectively for the bracelet.
0×6, 1 ×6, 2×6, 3×6, and 4×6
Which is = $0, $6, $12, $18, $24. respectively for the necklace.
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