Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1205707: When London spent 30 minutes on the elliptical trainer and then did circuit training for 10 minutes, her fitness app said she burned 470 calories. When she spent 10 minutes on the elliptical trainer and 30 minutes circuit training she burned 370 calories. Solve the system:
{ (30 e + 10 c = 470), (10 e + 30 c = 370) :}
for e , the number of calories she burned for each minute on the elliptical trainer, and c , the number of calories she burned for each minute of circuit training.
e =
c =
Click here to see answer by greenestamps(13195)   |
Question 1205707: When London spent 30 minutes on the elliptical trainer and then did circuit training for 10 minutes, her fitness app said she burned 470 calories. When she spent 10 minutes on the elliptical trainer and 30 minutes circuit training she burned 370 calories. Solve the system:
{ (30 e + 10 c = 470), (10 e + 30 c = 370) :}
for e , the number of calories she burned for each minute on the elliptical trainer, and c , the number of calories she burned for each minute of circuit training.
e =
c =
Click here to see answer by math_tutor2020(3816) |
Question 1205714: Linear Functions, Determining The Equation
Determine the equation of the line passing through the each point below having the corresponding slope.
Ordered Pair Slope Equation of the line
(1,6) m = 5/8 __________________
(2,8) m = 0 __________________
(5,-5) m = -1/7 __________________
(0,-2) The slope __________________
does not exist
(5,2) m = -3/5 __________________
Click here to see answer by MathLover1(20849)  |
Question 1205714: Linear Functions, Determining The Equation
Determine the equation of the line passing through the each point below having the corresponding slope.
Ordered Pair Slope Equation of the line
(1,6) m = 5/8 __________________
(2,8) m = 0 __________________
(5,-5) m = -1/7 __________________
(0,-2) The slope __________________
does not exist
(5,2) m = -3/5 __________________
Click here to see answer by ikleyn(52754)  |
Question 1205698: The perimeter of a rectangle is 84. The length is 14 more than the width. Find the width and length.
Width:
Length:
The perimeter of a rectangle is 66. The length is 3 less than
5 times the width. Find the width and length.
Width:
Length:
Click here to see answer by ikleyn(52754) |
Question 1205721: Serenity currently sells televisions for Walter's TV Store at a salary of $16,000 plus a $15 commission for each television she sells. Kristen's TV Store offers her a position with a salary of $10,400 plus a commission of $35 for each television she sells. How many televisions would she need to sell for the options to be equal?
Click here to see answer by ikleyn(52754) |
Question 1205723: Solve the system using the substitution method. If there is exactly one solution, write as an ordered pair. If not, choose one of the other options.
{(6x,+,2y,=,34),(x,,,=,-4y+24):}
A. One solution:
B. No solution
C. Infinite number of solutions
Click here to see answer by ikleyn(52754) |
Question 1205723: Solve the system using the substitution method. If there is exactly one solution, write as an ordered pair. If not, choose one of the other options.
{(6x,+,2y,=,34),(x,,,=,-4y+24):}
A. One solution:
B. No solution
C. Infinite number of solutions
Click here to see answer by josgarithmetic(39613) |
Question 1205723: Solve the system using the substitution method. If there is exactly one solution, write as an ordered pair. If not, choose one of the other options.
{(6x,+,2y,=,34),(x,,,=,-4y+24):}
A. One solution:
B. No solution
C. Infinite number of solutions
Click here to see answer by MathLover1(20849) |
Question 1205724: Solve the system by the substitution method. If there is exactly one solution, write as an ordered pair. If not, choose one of the other options.
{(7x,-,7y,=,-28),(6x,+,y,=,-10):}
A. One solution:
B. No solution
C. Infinite number of solutions
Click here to see answer by josgarithmetic(39613) |
Question 1205724: Solve the system by the substitution method. If there is exactly one solution, write as an ordered pair. If not, choose one of the other options.
{(7x,-,7y,=,-28),(6x,+,y,=,-10):}
A. One solution:
B. No solution
C. Infinite number of solutions
Click here to see answer by ikleyn(52754) |
Question 1205741: Solve the system using the substitution method. If there is exactly one solution, write as an ordered pair. If not, choose one of the other options.
{(x,-,5y,=,32),(2x,+,4y,=,-34):}
A. One solution:
B. No solution
C. Infinite number of solutions
Click here to see answer by MathLover1(20849) |
Question 1205745: Trashia left Riverside, California, driving her motorhome north on Interstate 15 towards Salt Lake City at a speed of 40 miles per hour. Half an hour later, Karissa left Riverside in her car on the same route as Trashia, driving 60 miles per hour. Solve the system:
{(40 y=60 x),(y=x+1/2) :}
A. for x to find out how long it will take Karissa to
catch up to Trashia.
B. What is the value of y the number of hours
Trashia will have driven before Karissa catches up
to her?
Click here to see answer by greenestamps(13195) |
Question 1205745: Trashia left Riverside, California, driving her motorhome north on Interstate 15 towards Salt Lake City at a speed of 40 miles per hour. Half an hour later, Karissa left Riverside in her car on the same route as Trashia, driving 60 miles per hour. Solve the system:
{(40 y=60 x),(y=x+1/2) :}
A. for x to find out how long it will take Karissa to
catch up to Trashia.
B. What is the value of y the number of hours
Trashia will have driven before Karissa catches up
to her?
Click here to see answer by Theo(13342)  |
Question 1205745: Trashia left Riverside, California, driving her motorhome north on Interstate 15 towards Salt Lake City at a speed of 40 miles per hour. Half an hour later, Karissa left Riverside in her car on the same route as Trashia, driving 60 miles per hour. Solve the system:
{(40 y=60 x),(y=x+1/2) :}
A. for x to find out how long it will take Karissa to
catch up to Trashia.
B. What is the value of y the number of hours
Trashia will have driven before Karissa catches up
to her?
Click here to see answer by josgarithmetic(39613) |
Question 1205747: Shannon is planning her spring flower garden. She wants to plant tulip and daffodil bulbs. She will plant 7 times as many daffodil bulbs as tulip bulbs. If she wants to plant 248 bulbs, how many tulip bulbs and how many daffodil bulbs should she plant?
Number of tulip bulbs =
Nummber of daffodil bulbs =
Click here to see answer by josgarithmetic(39613) |
Question 1205748: Devonte throws a rock straight down off the edge of a cliff that overlooks the ocean. The distance (𝑑) the rock falls after 𝑡 seconds can be represented by the equation 𝑑 = 16𝑡² + 24𝑡. If the ocean’s surface is 16.4 feet below the cliff, to the nearest tenth, how many seconds will it take for the rock to hit the ocean’s surface?
Click here to see answer by ikleyn(52754) |
Question 1205749: The number of people, y, in tens of thousands, who reported birdwatching as a hobby between 2013 and 2020 is modeled by the equation y=2x^2-16x+150, where x
is the number of years since 2013. Select the years when the number of people who reported birdwatching as a hobby was 126 ten thousand.
2013
2014
2015
2016
2017
2018
2019
2020
Click here to see answer by josgarithmetic(39613) |
Question 1205763: Solve the system using addition/elimination method. If there is exactly one solution, write as an ordered pair. If not, choose one of the other options.
{(4x,-,4y,=,16),(2x,+,4y,=,14):}
A. One solution:
B. No solution
C. Infinite number of solutions
Click here to see answer by Edwin McCravy(20054)  |
Question 1205766: Neichelle is planning her spring flower garden. She wants to plant tulip and daffodil bulbs. She will plant 5 times as many daffodil bulbs as tulip bulbs. If she wants to plant 204 bulbs, how many tulip bulbs and how many daffodil bulbs should she plant?
Number of tulip bulbs = __________________
 Number of daffodil bulbs = __________________
Click here to see answer by ikleyn(52754) |
Question 1205766: Neichelle is planning her spring flower garden. She wants to plant tulip and daffodil bulbs. She will plant 5 times as many daffodil bulbs as tulip bulbs. If she wants to plant 204 bulbs, how many tulip bulbs and how many daffodil bulbs should she plant?
Number of tulip bulbs = __________________
Number of daffodil bulbs = __________________
Click here to see answer by Edwin McCravy(20054) |
Question 1205767: Solve the system using addition/elimination method. If there is exactly one solution, write as an ordered pair. If not, choose one of the other options.
{(2x,-,3y,=,-13),(3x,-,2y,=,-7):}
A. One solution:
B. No solution
C. Infinite number of solutions
Click here to see answer by MathLover1(20849) |
Question 1205774: Nicholas does not want to spend more than $140 on bags of fertilizer and peat moss for his garden. Fertilizer costs $5 a bag and peat moss costs $14 a bag. Nicholas's van holds at most 20 bags.
Graph the system on your own graph paper with fertilizer as the independent variable and peat moss as the dependent variable. Then, decide which of the four graphs below shows the correct lines (dotted/solid), and then choose the letter for the region on that graph that should be shaded for the solution. If no regions should be shaded, choose No Solution.
Can he buy 13 bags of fertilizer and 7 bags of peat moss?
Can he buy 14 bags of fertilizer and 4 bags of peat moss?
Click here to see answer by greenestamps(13195) |
Question 1205777: Brian is studying for his final exams in Chemistry and Algebra. He knows he has less than 22 hours to study, and it will take him at least three times longer to study for Algebra than Chemistry.
Graph the system on your own graph paper with Chemistry as the independent variable and Algebra as the dependent variable. Then, decide which of the four graphs below shows the correct lines (dotted/solid), and then choose the letter for the region on that graph that should be shaded for the solution. If no regions should be shaded, choose No Solution.
2
4
6
8
2
4
6
8
10
12
14
16
18
20
22
24
A
B
C
D
2
4
6
8
2
4
6
8
10
12
14
16
18
20
22
24
E
F
G
H
2
4
6
8
2
4
6
8
10
12
14
16
18
20
22
24
I
J
K
L
2
4
6
8
2
4
6
8
10
12
14
16
18
20
22
24
M
N
O
P
ABCDEFGHIJKLMNOPNo Solution
Can he spend 14 hours on Chemistry and 9 hours on Algebra?
Can he spend 15 hours on Chemistry and 9 hours on Algebra?
Click here to see answer by josgarithmetic(39613) |
Question 1205751: The number of people, in hundreds of thousands, who reported freshwater fishing as a hobby for the years between 2007 and 2020 where x is the number of years since 2007 can be modeled by the function f(x)=x^2-16x+440. Complete the statements. The solutions to the are
[Drop Down 1] and
[Drop Down 2]. Based on the context this means that in [Drop Down 3] 412
hundreds of thousands of people reported or will report freshwater fishing as a hobby.
Drop Down 1
A -2
B 0
C 1
D 2
E 4
F 6
G 7
Drop Down 2
A 8
B 9
C 11
D 13
E 14
F 16
G 17
Drop Down 3
A 2007
B 2009
C 2011
D 2012
E 2014
F 2015
Click here to see answer by josgarithmetic(39613) |
Question 1205750: The number of newly-funded Artificial Intelligence companies, y, that received an investment of more than 1.5 million is modeled by the equation y=-26x^2+260x+320, where x is the number of years since 2013. Which years were there 736 newly-funded Artificial Intelligence companies?
A
2012 and 2024
B
2013 and 2023
C
2014 and 2022
D
2015 and 2021
Click here to see answer by josgarithmetic(39613) |
Question 1205787: Cesar sells his drawings at the county fair. He wants to sell at least 6 drawings and has portraits and landscapes. He sells the portraits for $24 and the landscapes for $9. He needs to sell at least $72 worth of drawings in order to earn a profit.
Graph the system on your own graph paper with portraits as the independent variable and landscapes as the dependent variable. Then, decide which of the four graphs below shows the correct lines (dotted/solid), and then choose the letter for the region on that graph that should be shaded for the solution. If no regions should be shaded, choose No Solution.
A B C D E F G H I J K L M N O P No Solution
Will he make a profit if he sells 1 portrait and 7 landscapes?
Will he make a profit if he sells 5 portraits and 4 landscapes?
Click here to see answer by Theo(13342) |
Question 1205786: Brian is studying for his final exams in Chemistry and Algebra. He knows he has less than 22 hours to study, and it will take him at least three times longer to study for Algebra than Chemistry.
Graph the system on your own graph paper with Chemistry as the independent variable and Algebra as the dependent variable. Then, decide which of the four graphs below shows the correct lines (dotted/solid), and then choose the letter for the region on that graph that should be shaded for the solution. If no regions should be shaded, choose No Solution.
A B C D E F G H I J K L M N O P No Solution
Can he spend 14 hours on Chemistry and 9 hours on Algebra?
Can he spend 15 hours on Chemistry and 9 hours on Algebra?
Click here to see answer by josgarithmetic(39613) |
Question 1205786: Brian is studying for his final exams in Chemistry and Algebra. He knows he has less than 22 hours to study, and it will take him at least three times longer to study for Algebra than Chemistry.
Graph the system on your own graph paper with Chemistry as the independent variable and Algebra as the dependent variable. Then, decide which of the four graphs below shows the correct lines (dotted/solid), and then choose the letter for the region on that graph that should be shaded for the solution. If no regions should be shaded, choose No Solution.
A B C D E F G H I J K L M N O P No Solution
Can he spend 14 hours on Chemistry and 9 hours on Algebra?
Can he spend 15 hours on Chemistry and 9 hours on Algebra?
Click here to see answer by greenestamps(13195) |
Question 1205786: Brian is studying for his final exams in Chemistry and Algebra. He knows he has less than 22 hours to study, and it will take him at least three times longer to study for Algebra than Chemistry.
Graph the system on your own graph paper with Chemistry as the independent variable and Algebra as the dependent variable. Then, decide which of the four graphs below shows the correct lines (dotted/solid), and then choose the letter for the region on that graph that should be shaded for the solution. If no regions should be shaded, choose No Solution.
A B C D E F G H I J K L M N O P No Solution
Can he spend 14 hours on Chemistry and 9 hours on Algebra?
Can he spend 15 hours on Chemistry and 9 hours on Algebra?
Click here to see answer by math_tutor2020(3816) |
Question 1205786: Brian is studying for his final exams in Chemistry and Algebra. He knows he has less than 22 hours to study, and it will take him at least three times longer to study for Algebra than Chemistry.
Graph the system on your own graph paper with Chemistry as the independent variable and Algebra as the dependent variable. Then, decide which of the four graphs below shows the correct lines (dotted/solid), and then choose the letter for the region on that graph that should be shaded for the solution. If no regions should be shaded, choose No Solution.
A B C D E F G H I J K L M N O P No Solution
Can he spend 14 hours on Chemistry and 9 hours on Algebra?
Can he spend 15 hours on Chemistry and 9 hours on Algebra?
Click here to see answer by Theo(13342) |
Question 1205802: Calsho owns a golf course. He presently sells 200 memberships each year for $640 each. He conducts a survey and finds out that for every $40 he raises the price of his membership he loses 10 customers. Find out what Calsho should do to maximize his revenue. What would his new membership price be? How many customers would he have at this new price?
Would be nice if someone could help me with this :)
Click here to see answer by ikleyn(52754) |
Question 1205875: Select all the true statements for the quadratic function
f(x) = 5x² + 70x + 245.
Ⓐ The y-intercept of the function is −7.
Ⓑ The vertex of the function is at (−7, 0).
Ⓒ The function is symmetric about the line x = 7.
Ⓓ The function is decreasing when −∞ < x < −7.
Ⓔ The range of the function is all positive real numbers including zero.
Click here to see answer by MathLover1(20849) |
Question 1205875: Select all the true statements for the quadratic function
f(x) = 5x² + 70x + 245.
Ⓐ The y-intercept of the function is −7.
Ⓑ The vertex of the function is at (−7, 0).
Ⓒ The function is symmetric about the line x = 7.
Ⓓ The function is decreasing when −∞ < x < −7.
Ⓔ The range of the function is all positive real numbers including zero.
Click here to see answer by greenestamps(13195) |
Question 1205875: Select all the true statements for the quadratic function
f(x) = 5x² + 70x + 245.
Ⓐ The y-intercept of the function is −7.
Ⓑ The vertex of the function is at (−7, 0).
Ⓒ The function is symmetric about the line x = 7.
Ⓓ The function is decreasing when −∞ < x < −7.
Ⓔ The range of the function is all positive real numbers including zero.
Click here to see answer by josgarithmetic(39613) |
Question 1205874: A ball is thrown from the top of a building from a height of 75 feet
above the ground. The height of the ball, H, in feet from the
ground, and time, t, in seconds, can be modeled by the equation
H = −5(t−3)(t+5).
Select the true statement.
Ⓐ The ball reaches the ground in 3 seconds.
Ⓑ The ball reaches the ground in 5 seconds.
Ⓒ The ball reaches the ground in 15 seconds.
Ⓓ The ball reaches the ground in 25 seconds.
Click here to see answer by MathLover1(20849) |
Question 1205874: A ball is thrown from the top of a building from a height of 75 feet
above the ground. The height of the ball, H, in feet from the
ground, and time, t, in seconds, can be modeled by the equation
H = −5(t−3)(t+5).
Select the true statement.
Ⓐ The ball reaches the ground in 3 seconds.
Ⓑ The ball reaches the ground in 5 seconds.
Ⓒ The ball reaches the ground in 15 seconds.
Ⓓ The ball reaches the ground in 25 seconds.
Click here to see answer by ikleyn(52754) |
Question 1205884: For numbers 13 and 14, the length of a rectangular basketball court
is 5 meters more than its width. The area of the court is 750 square
meters and the width of the court is x meters.
13. Which equation can be used to find the width of the basketball
court?
Ⓐ x² + 5x + 750 = 0
Ⓑ x² − 5x + 750 = 0
Ⓒ x² + 5x − 750 = 0
Ⓓ x² − 5x − 750 = 0
14. What is the width of the rectangular court in meters?
Click here to see answer by Theo(13342) |
Question 1205883: The table shows several input and output values of a quadratic
function d(t).
t d(t)
3 3.00
4 5.00
4.5 5.25
5. 5.00
6 3.00
Which statement is true about the function?
Ⓐ The maximum value of d(t) is 6.
Ⓑ The axis of symmetry is t = 5.25.
Ⓒ The range of the function d(t) is 3 < t < 6.
Ⓓ The function d(t) is increasing when t < 4.5.
Click here to see answer by mccravyedwin(405)  |
Question 1205883: The table shows several input and output values of a quadratic
function d(t).
t d(t)
3 3.00
4 5.00
4.5 5.25
5. 5.00
6 3.00
Which statement is true about the function?
Ⓐ The maximum value of d(t) is 6.
Ⓑ The axis of symmetry is t = 5.25.
Ⓒ The range of the function d(t) is 3 < t < 6.
Ⓓ The function d(t) is increasing when t < 4.5.
Click here to see answer by ikleyn(52754) |
Question 1205883: The table shows several input and output values of a quadratic
function d(t).
t d(t)
3 3.00
4 5.00
4.5 5.25
5. 5.00
6 3.00
Which statement is true about the function?
Ⓐ The maximum value of d(t) is 6.
Ⓑ The axis of symmetry is t = 5.25.
Ⓒ The range of the function d(t) is 3 < t < 6.
Ⓓ The function d(t) is increasing when t < 4.5.
Click here to see answer by Theo(13342) |
Question 1205890: A drone takes off from a platform. Its height h(t), in meters, t seconds after
the takeoff can be modeled by the equation h(t) = −t² + 16t + 80.
Write the appropriate domain for this function based on the context. For
each box, select the letter before the correct value.
≤t ≤
Ⓐ - 20 Ⓔ - 4
Ⓑ - 4 Ⓕ 0
Ⓒ 0 Ⓖ 4
Ⓓ 4 Ⓗ 20
Click here to see answer by math_tutor2020(3816) |
|
Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 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17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240
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