Questions on Algebra: Equations answered by real tutors!

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Question 144115: An astronaut on the moon tosses a ball upwards; when will the ball initially be 35 feet above the lunar surface if the ball's height (feet) follow:
h(t) = -2.6t^2 = 32.1t + 5.5, and t is in seconds from release?
a. 1 second
b. 2 seconds
c. 1/2 seconds
d. 13.2 seconds
I selected 1 second (a)

Click here to see answer by stanbon(75887) About Me 

Question 144129: my son is stuck with homework > = more than what does > with a line under it mean
Click here to see answer by jim_thompson5910(35256) About Me 

Question 144138: One number is four times another number. The largest number is also 87 more than the smaller numer. Find the numbers.
Choices for the smaller number: 29, 30, 33

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Question 144107: what is the equation of a line that passes through the points (4,1) and (3,-2)
Click here to see answer by checkley77(12844) About Me 

Question 144158: if 4feet 5inches is cut from a 12foot board, how much of the original board remains? 12' is 144 inches, 4' 5" is 53 inches. 144-53 = 91 inches remaining.
91 inches is 7 feet, 7 inches. One more reason to use metric.

Click here to see answer by Alan3354(69443) About Me 

Question 144187: Please help me answer this question:
What is the equation of the line, g(x), that is perpendicular to f(x)=1/2x+2 and passes through (0,2)?

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Question 144183: An aquarium store unit requires 75000mL of water. How many gallons of water are needed? (1gal = 4 quarts)
Click here to see answer by stanbon(75887) About Me 

Question 144070: How many positive real numbers are there in:
f(x) = x^4 - 4x^3 + 6x^2 - 4x + 1
a. 1 or 0
b. 2 or 0
c. 4 or 2
d. 2 or 0

Click here to see answer by HyperBrain(694) About Me 

Question 144221: How many positive real solutions are there in:
f(x) = -2x^4 + 3x^3 + 7x^2 + 2
a. 0
b. 2
c. 1
d. None, there is no x-term

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Question 142332: In internal notation, what is the domain of:
f(x) = x^-2

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Question 144223: Can you help me solve this system by substitution?
y=3x
x+y=8

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Question 144213: What is the equation of the slant asymptote for x^2 - x + 17/x^2 + 1?
a. R(x) = x -1
b. R(x) = 1
c. R(x) = x + 17
d. There is no slant asymptote

Click here to see answer by stanbon(75887) About Me 

Question 144214: Let's say that a company's profitability, p(t), follows p(t)= t^2 - 5t - 50 with
p(t) in units of $1K and t = fiscal months. How long in years will it take the company to be $100K in the black (i.e., p(t)=$100,000)?
a. 15 years
b. 1 1/2 years
c. 1 1/4 years
d. 1/2 year

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 144211: 1.)If the length of the diagonal of a rectangle is 50 inches and the area is 1200 in^2,what are tge dimensions?
2.) one secretary can do aparticular typing jib in 6hrs and another secretary ca do the same job in 4hrs.How long will it take if the job is done by two secretaries working together?
3.)The some of the receprocals of two consecutive even integers is 9/40.What is the integers?
4) If a rectangular polygon of ten sides is inscribed (means a figure is a another figure) in a circle of raduis r units, then if s units is the length of a side.
(r/s)=(s)/(r-s)
solve this formula for s in terms of r.
5) A firm can sell at a price of $100 per unit all of a particular commodity it produces.If x units are produced each day,the number of dollars in the total cost of each days production ia x^2+20x+700.How many units should be produced each day so that the firm is guaranteed a profit?
6) A company that builds and sells desks can sell at a price of $400 per desk all the desk it produces if x desks are built and sold each week,then the numbers of dollars on the total cost of the weeks production is 2x^2+80x+3000.How many desk should built each week in order that the manufacturer is guaranteed a profit?

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 144372:
Solve this system of equations

18x -  7y = 121
 6x - 14y = 122


Click here to see answer by Alan3354(69443) About Me 
Question 144372:
Solve this system of equations

18x -  7y = 121
 6x - 14y = 122


Click here to see answer by Edwin McCravy(20054) About Me 

Question 144371: 8x+2y=-10
4x+y=-5
This cannot be solved, as the 1st equation is the same as the 2nd multiplied. If you graph this, it will be the same line. No solution is possible.

Click here to see answer by Alan3354(69443) About Me 

Question 144404: If Sam can do a job in 4 days, Lisa can do the same job in 6 days, and Tom can do the job in 2 days, how will it take them do to the job together?
Click here to see answer by stanbon(75887) About Me 

Question 144415: who invented Equations with variables on both sides

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Question 144409: If 9y^2+kyz+16z^2 is a perfect square find a value of k
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Question 144434: I'm really bad with fractions. Can someone help me please? Thank you!
C I need to solve for x
5/4x+1/8x = 9/8+x Also solve for x

Click here to see answer by stanbon(75887) About Me 
Question 144434: I'm really bad with fractions. Can someone help me please? Thank you!
C I need to solve for x
5/4x+1/8x = 9/8+x Also solve for x

Click here to see answer by Alan3354(69443) About Me 

Question 144411: In maths exam the marks range from 24 to 84. The original marks are to be scaled so that lowest new mark is 30 and the highest new mark is 120
The formula is to be of type y =ax+b where x is the original mark and y is the new mark
Write down two simultaneous equations for a and b. hence find the required formula

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Question 144484: Of the lines listed below, which ones pass through the point (0,9)?

y=4x+9
y=5x+2
y=5x+9
y=9x+5
y=7x+1

Click here to see answer by solver91311(24713) About Me 

Question 144461: Could someone please help me with this one?
The equation y = 1777x + 27,153 can be used to predict the number y of gun deaths in the United States x years after 2000, that is, x = 0 corresponds to 2002, x = 5 corresponds to 2005 and so on. Predict the number of gun deaths in 2005 & 2008. In what year will the number of gun deaths be 11, 160?
Thank you!

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 144491: Hi. I'm stuck on a word problem. Could someone please help me? Thank you in advance!!
In 1993 the life expectancy of males was 63.7 years. In 1999, it was 66.8. Let E represent the life expectancy in years and let t represent number of years since 1993.
I need to write a linear equation that fits the data. E(t)= ___t + ___
Also I need to use the function to predict the life expectancy of males in 2007.
E(14)=____

Click here to see answer by vleith(2983) About Me 

Question 144518: Please help me with this question:
How can we best describe these terms: +-x%5E2%2B2x-1+
a) prime polynomial
b) equation
c) indeterminate function
d) expression

Click here to see answer by stanbon(75887) About Me 

Question 144548: Thank you in advance for help with this equation. x^4-8x^2+11=0
Click here to see answer by jim_thompson5910(35256) About Me 

Question 144549: Thank you in advance for help with this equation. x^2/3+x^1/3-2=0
Click here to see answer by jim_thompson5910(35256) About Me 

Question 143946: Complete
Write an equation demonstrates how Da, Ra, and Ta re related.

Click here to see answer by Alan3354(69443) About Me 

Question 144526: solve the pairsof equations using the addition or subtraction method:
2x-y=4 x+y=2
x-2y=6 3x+4y=8

Click here to see answer by checkley77(12844) About Me 

Question 144602: factor completely
64c^2-25=
Thank you for your help!

Click here to see answer by vleith(2983) About Me 

Question 144603: multiply
(5sqrt3 - 15sqrt7)(2sqrt3 +6sqrt7)=
Thank you for your help!

Click here to see answer by checkley77(12844) About Me 

Question 144601: factor completely
49b^2+4-28b=
Thank you for your help!

Click here to see answer by checkley77(12844) About Me 

Question 144594: Subtract and Simplify
((2-y)/(y-4))-((9y-4)/(4-y))
Thank you I really need help with this!!!

Click here to see answer by checkley77(12844) About Me 

Question 144595: Add and Simplify
((4r)/(r^2-64))+((r)/(r-8))
Thank you I really need help with this!!!

Click here to see answer by Alan3354(69443) About Me 

Question 144593: Multiply and Simplify
((4c^2)/(3c^2-12c+12))*((3c-6)/2c))
Thank you I really need help with this!!!

Click here to see answer by jim_thompson5910(35256) About Me 
Question 144593: Multiply and Simplify
((4c^2)/(3c^2-12c+12))*((3c-6)/2c))
Thank you I really need help with this!!!

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 144592: Preform the indicated operations and simplify:
(v-5/v-7)-(v+1/v+7)+(v-35/v^2-49)
Thank you I really need help with this!!!

Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 144592: Preform the indicated operations and simplify:
(v-5/v-7)-(v+1/v+7)+(v-35/v^2-49)
Thank you I really need help with this!!!

Click here to see answer by stanbon(75887) About Me 

Question 144777: These word problems are killing me today. The value:v(in dollars per acre) of a wheat crop (d) days after planting is given by v=6d-.05d^2 for 20 Kyle
Click here to see answer by checkley77(12844) About Me 

Question 144834: Simplify the expression.Write the answer in scientific notation.


(1.9 x 10^5)^3

Click here to see answer by checkley77(12844) About Me 
Question 144834: Simplify the expression.Write the answer in scientific notation.


(1.9 x 10^5)^3

Click here to see answer by jim_thompson5910(35256) About Me 
Question 144834: Simplify the expression.Write the answer in scientific notation.


(1.9 x 10^5)^3

Click here to see answer by vleith(2983) About Me 

Question 144832: Simplify the expression.Write the answer in scientific notation.


(1.4 x 10^3)^3

Click here to see answer by vleith(2983) About Me 

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, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580