Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1149613: The path of the longest shot put by the women's track team at Sun Devil U is modeled by h(x)=-0.017x^2+1.09x+6.1, where x represents the horizontal distance from the start and h(x) is the height of the shot put above ground. (Both x and h(x) are measured in feet)
a. Determine h(40). Round your answer to 2 decimal places. Then explain what your answer means in the context of the problem.
b. Determine the numerical value of the vertical intercept and explain what this means in the context of the problem.
c. Determine the numerical values of the vertex intercept and explain what they mean in the context of the problem.
d. How far from the start did the shot put strike the ground? Round your answer to 2 decimal places.

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Question 1149755: Write a quadratic function whose zeros are 3 and -5
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Question 1149799: the speed of a boat in still water is 15 km/hr. it needs four
more hours to travel 63 km against the current of a river
than it needs to travel down the river. Determine the speed
of the current of the river.






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Question 1149799: the speed of a boat in still water is 15 km/hr. it needs four
more hours to travel 63 km against the current of a river
than it needs to travel down the river. Determine the speed
of the current of the river.






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Question 1149887: A right triangle has area of 18inSq. The base is 3in longer than the height. What is the height?
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Question 1149887: A right triangle has area of 18inSq. The base is 3in longer than the height. What is the height?
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Question 1149960: x^2-kx+1
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Question 1150002: This question is on a quadratics practice, but I'm stumped as to how quadratics can even be applied here.
Mr. Gordon bought 100 feet of fencing material to build a kennel for his dog. He is using one side of his garage for one side of the kennel. Write a quadratic function to represent the area of the kennel.

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Question 1150030: x^(2)+6x+7 in vertex form

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Question 1150052: A movie theater has a seating capacity of 287. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2072 on a sold out night, how many children, students, and adults attended?
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Question 1150051: Maricopa's Success scholarship fund receives a gift of $110000. The money is invested in stocks, bonds, and CDs. CDs pay 4.25 % interest, bonds pay 2.6 % interest, and stocks pay 7.4 % interest. Maricopa Success invests $50000 more in bonds than in CDs. If the annual income from the investments is $4150, how much was invested in each account?
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Question 1150051: Maricopa's Success scholarship fund receives a gift of $110000. The money is invested in stocks, bonds, and CDs. CDs pay 4.25 % interest, bonds pay 2.6 % interest, and stocks pay 7.4 % interest. Maricopa Success invests $50000 more in bonds than in CDs. If the annual income from the investments is $4150, how much was invested in each account?
Click here to see answer by MathTherapy(10549) About Me 
Question 1150051: Maricopa's Success scholarship fund receives a gift of $110000. The money is invested in stocks, bonds, and CDs. CDs pay 4.25 % interest, bonds pay 2.6 % interest, and stocks pay 7.4 % interest. Maricopa Success invests $50000 more in bonds than in CDs. If the annual income from the investments is $4150, how much was invested in each account?
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Question 1150062: Maricopa's Success scholarship fund receives a gift of $130000. The money is invested in stocks, bonds, and CDs. CDs pay 2.5 % interest, bonds pay 5.5 % interest, and stocks pay 10.5 % interest. Maricopa Success invests $35000 more in bonds than in CDs. If the annual income from the investments is $10600, how much was invested in each account?
Maricopa Success invested $____ in stocks. Maricopa Success invested $____ in bonds. Maricopa Success invested $____ in CDs.

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Question 1150064: Maricopa's Success scholarship fund receives a gift of $130000. The money is invested in stocks, bonds, and CDs. CDs pay 2.5 % interest, bonds pay 5.5 % interest, and stocks pay 10.5 % interest. Maricopa Success invests $35000 more in bonds than in CDs. If the annual income from the investments is $10600, how much was invested in each account?
Maricopa Success invested $_____ in stocks. Maricopa Success invested $_____ in bonds. Maricopa Success invested $_____ in CDs.

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Question 1150053: Maricopa's Success scholarship fund receives a gift of $110000. The money is invested in stocks, bonds, and CDs. CDs pay 4.25 % interest, bonds pay 2.6 % interest, and stocks pay 7.4 % interest. Maricopa Success invests $50000 more in bonds than in CDs. If the annual income from the investments is $4150, how much was invested in each account?
Maricopa Success invested $_____ in stocks. Maricopa Success invested $_____ in bonds. Maricopa Success invested $_____ in CDs.

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Question 1150117: Maricopa's Success scholarship fund receives a gift of $135000. The money is invested in stocks, bonds, and CDs. CDs pay 2.25 % interest, bonds pay 4.4 % interest, and stocks pay 6.1 % interest. Maricopa Success invests $15000 more in bonds than in CDs. If the annual income from the investments is $6315, how much was invested in each account?
Maricopa Success invested $____ in stocks. Maricopa Success invested $____ in bonds. Maricopa Success invested $____ in CDs.

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Question 1150174: Jacob is standing at the top of an 80 ft-high cliff and throws a rock upwards at 64 ft/sec
Write a model that describes the trajectory of the rock.
How many seconds until the max height is reached?
What will be the maximum height?
How many seconds until the rock hits the ground?
How high is the rock after 3 seconds?

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Question 1150174: Jacob is standing at the top of an 80 ft-high cliff and throws a rock upwards at 64 ft/sec
Write a model that describes the trajectory of the rock.
How many seconds until the max height is reached?
What will be the maximum height?
How many seconds until the rock hits the ground?
How high is the rock after 3 seconds?

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Question 1150290: Find the quadratic Equation that fits the following set of Data points. (5,162),(4,110),(1,14)
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Question 1150314: The completion of a certain chemical reaction is expressed by the equation y=12+4x-2(x*x). Y is the number of seconds needed to complete the reaction and x is the temperature in degrees CCelsius at which the reaction occurs. If the reaction is complete in 45 seconds, what is the temperature at which the reaction occurs?
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Question 1150376: a rug measuring 9m by 12m was installed in a recreational hall. A strip of floor of equal width was left uncovered along all edges of the hall. the area of the uncovered floor is 270m^2. how wide is the uncovered strip
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Question 1150376: a rug measuring 9m by 12m was installed in a recreational hall. A strip of floor of equal width was left uncovered along all edges of the hall. the area of the uncovered floor is 270m^2. how wide is the uncovered strip
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Question 1150370: you and your cousin are walking through the lunchroom when you both trip.your trays hit the ground and both lunches fly through the air in parabolic paths until they hit your friend at the top of the head. if your lunches had not landed on your friends head, then your hamburger would have landed on the floor 12 feet away and your cousins chili would have landed sixteen feet away. your hamburger reaches a hight of 13 feet and your cousins chili reaches a height of 6 feet. how tall is your friend?
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Question 1150396: The sum of the digits of a two digit counting number is 15 , when the digits are reversed the number is 27 more than the original number . what was the original number?
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Question 1150396: The sum of the digits of a two digit counting number is 15 , when the digits are reversed the number is 27 more than the original number . what was the original number?
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Question 1150524: 500 feet of fencing is available to enclose a rectangular lot along side of highway 65. Cal trans will supply the fencing for the side along the highway, so only 3 sides are needed. What dimensions will produce an area of 40,000 square feet? What is the maximum area that can be enclosed?
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Question 1150484: The speed of the boat still in water is 15km/hr it needs four more hour to travel 63km against the currnet of the river than it needs to travel dowen the river determine the speed of the currnet of the river

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Question 1150599: A model rocket is launched with an initial upward velocity of 65 m/s The rocket's height h (in meters) after t seconds is given by the following. h= 65t -5t^2. Find all values of t for which the rocket's height is 30 meters.Round your answer(s) to the nearest hundredth.

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Question 1150605: A 8 yard by 10 yard swimming pool is surrounded by a deck of uniform width.the area of the deck is 72yd squared . Find the width of the deck
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Question 1150605: A 8 yard by 10 yard swimming pool is surrounded by a deck of uniform width.the area of the deck is 72yd squared . Find the width of the deck
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Question 1150615: divide 29 in to two parts so that the sum of the sqare of the parts is 425 .find the value of each parts.
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Question 1150689: Expand the following.(x+y)(x+2y)
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Question 1150689: Expand the following.(x+y)(x+2y)
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Question 1150843: A woman is four times older than her daughter,6 years ago the product of their ages was 136.Find their present ages
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Question 1150843: A woman is four times older than her daughter,6 years ago the product of their ages was 136.Find their present ages
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Question 1150849: Suppose that a flare is launched upward with an initial velocity of 80 ft./sec. from a height 224 ft. Its height in feet h(t) after t second is given by h(t) = -16 t2 + 80 t + 224. After how long will the flare reach the ground?

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Question 1150938: A wire of length 200 is cut into two parts and each part is bent to form a square.if the area of the larger square is 9 times that of smaller square,find the perimeter of the larger square.
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Question 1151017: How far will an object fall in 5 seconds if it is thrown downward at an initial velocity of 30m/sec from a height of 200 m?
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Question 1151036: Find the intersections of y=x^2 and y=0.9^x
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Question 1151034: How many solutions are there and what are they? y=x^2 and y=0.9^x
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Question 1151059: (2x-3)(3x-2)(4x+1)

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Question 1151059: (2x-3)(3x-2)(4x+1)

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Question 1151156: When an object Is released and falls freely, it's height, h metres, above the ground after t seconds is represented by the relation h= - 0.5 t^2 g + d ,Where G is the acceleration due to gravity and D is the initial height of the object before it's released. since the string of gravity varies from planet to planet the values of G is specific to each planet
suppose a rock is dropped from a height of 100 m on Mars and also on Venus. on Mars G= 3.7m/s and Venus, g= 8.9m/s. how long does it take the rock to fall to a height of 25 M on each planet show all your work.


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Question 1151156: When an object Is released and falls freely, it's height, h metres, above the ground after t seconds is represented by the relation h= - 0.5 t^2 g + d ,Where G is the acceleration due to gravity and D is the initial height of the object before it's released. since the string of gravity varies from planet to planet the values of G is specific to each planet
suppose a rock is dropped from a height of 100 m on Mars and also on Venus. on Mars G= 3.7m/s and Venus, g= 8.9m/s. how long does it take the rock to fall to a height of 25 M on each planet show all your work.


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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, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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