Questions on Algebra: Equations answered by real tutors!

Algebra ->  Equations -> Questions on Algebra: Equations answered by real tutors!      Log On


   



Tutors Answer Your Questions about Equations (FREE)


Question 1039284: 1. Use a graphing device to solve the inequality, as in example 5. Express your answer using interval notation, with the endpoint of the intervals rounded to two decimals.
X^5 + x^3 _> x^2 + 5x
The answer is NOT [-1.23, 0] and [1.44, inf]
2. 9x^2 -18x + 1 in vertex form.

Click here to see answer by Boreal(15235) About Me 
Question 1039284: 1. Use a graphing device to solve the inequality, as in example 5. Express your answer using interval notation, with the endpoint of the intervals rounded to two decimals.
X^5 + x^3 _> x^2 + 5x
The answer is NOT [-1.23, 0] and [1.44, inf]
2. 9x^2 -18x + 1 in vertex form.

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

Question 1039285: Multiply, Simplify Completely
1/84 + 1/60

Click here to see answer by Narsinghchauhan8858795971(1) About Me 
Question 1039285: Multiply, Simplify Completely
1/84 + 1/60

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

Question 1039278: (mean is 69.6 inches, variance is 3 inches)
Find cutoff height to be in the top 5%.

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

Question 1039286: A quadratic function is given.
f(x) = 1 + x − sqrt of 2(x^2)
a) Use a graphing device to find the maximum value of the quadratic function f, rounded to two decimal places.
Correct: value of f is f(x) = 1.18
I am just not sure how to find the exact maximum value of f, in order to compare it with part (a).

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

Question 1039288: A solar panel manufacturer estimates that the profit y (in dollars) generated by producing x solar panels per month is given by the equation
S(x) = 8x + 0.8x^2 − 0.002x^3 − 4000.
Graph the function in the viewing rectangle [0, 400] by [−10,000, 20,000].
For what range of values of x is the company's profit greater than $15,000? (Round your values to the nearest integer. Enter your answer using interval notation.)

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

Question 1039248: If + means ÷,- means ×,÷ means +,× means -,then the value of 36×12+4÷6+2-3 when simplified is:
Click here to see answer by MathLover1(20849) About Me 

Question 1039352: Tim is three years older than his younger sister Kayla. The sum of the two ages is 9. How old is Tim? How old is Kayla?
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1039352: Tim is three years older than his younger sister Kayla. The sum of the two ages is 9. How old is Tim? How old is Kayla?
Click here to see answer by addingup(3677) About Me 

Question 1039388: (3/x)+(5/x+2)=2
Click here to see answer by addingup(3677) About Me 
Question 1039388: (3/x)+(5/x+2)=2
Click here to see answer by MathTherapy(10551) About Me 

Question 1039455: Whats an example of an exponential equation with its related logarithmic
equation?

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

Question 1039394: Solve equation or inequality
10-sqrt(x-2<=11)

Click here to see answer by Fombitz(32388) About Me 

Question 1038903: . Solve the following into partial fractions
x 3 + 4 x 2 + 20 x - 7
-------------------------
( x - 1) 2 ( x2 + 8)

Click here to see answer by Fombitz(32388) About Me 

Question 1039408: A sum of money amounts to Rs 5200 in 5 years and Rs 5680 in 7 years at simple interest .What was the rate of simple interest charged per annum ?
Click here to see answer by Aldorozos(172) About Me 
Question 1039408: A sum of money amounts to Rs 5200 in 5 years and Rs 5680 in 7 years at simple interest .What was the rate of simple interest charged per annum ?
Click here to see answer by MathTherapy(10551) About Me 

Question 1039506: If 3 chairs and 1 table together cost Rs 900.00 and 5 chairs and 3 tables together cost Rs 2100.00 then how many rupees is the total cost of 4 chairs and 1 table ?
Click here to see answer by chen.aavaz(62) About Me 

Question 1039520: given that , 10^0.48 = x,10^0.70 =y and x^z =y^2, then the value of z is
a)1.45
b)1.88
c)2.9
d)3.7

Click here to see answer by Theo(13342) About Me 

Question 1039519: x^2 + 2 =2x, then the value of
x^4 -x^3 +x^2 +2 is (explain clearly)
a)0
b)1
c)-1
d)root 2

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

Question 1039518: a^2 +b^2 +2b +4a +5=0, then the value of
%28a-b%29%2F%28a%2Bb%29 is _____. Explain clearly
a) 3
b) -3
c)1/3
d)-1/3

Click here to see answer by Edwin McCravy(20054) About Me 
Question 1039518: a^2 +b^2 +2b +4a +5=0, then the value of
%28a-b%29%2F%28a%2Bb%29 is _____. Explain clearly
a) 3
b) -3
c)1/3
d)-1/3

Click here to see answer by ikleyn(52776) About Me 

Question 1039576: solve the equation:
6 x space equal space square root of 24 space plus space 12 x end root

Click here to see answer by addingup(3677) About Me 

Question 1039589: How many rupees will be the compound interest on Rs 16000 for 9 months at 20% per annum compounded quarterly ?
Click here to see answer by addingup(3677) About Me 

Question 1039603: What substitution should be used to rewrite x^8 – 3x^4 + 2 = 0 as a quadratic equation?
a) u = x^2
b) u = x^4
c) u = x^8
d) u = x^16

Click here to see answer by josgarithmetic(39616) About Me 

Question 1039610: 1. x^3 + 64
Factor out. I got (x+4)(x^2-4x+16) but it was wrong.
2. h(x) = x^4 + 4x^3 + 5x^2 + 4x + 4.
Write the polynomial as the product of linear factors?
List all the zeros of the function. (Enter your answers as a comma-separated list.)?

Click here to see answer by josgarithmetic(39616) About Me 

Question 1039605: I need help with the following:

1. t^4 - 19t^2 + 48
I got 4,-4, sqrt{3}, negative sqrt{3} for the zeros using synthetic but it was wrong.
When I factored the equation out completely i got (x+4)(x-4)(x+3)(x-3) but it was wrong.
2. f(x) = x^3 + 6x^2 + 11x + 12. Write the polynomial as the product of linear factors.


Click here to see answer by josgarithmetic(39616) About Me 

Question 1039616: Rational expression solve and check
(X+2)/(2x+2)=(3x+2)/(3x-2)

Click here to see answer by josgarithmetic(39616) About Me 

Question 1039626: Rational expression solve and check
(X+2)/(2x+2)=(3x+2)/(3x-2)

Click here to see answer by josgarithmetic(39616) About Me 

Question 1039630: Divide Rs. 300 between Hena and Rina such that Rina gets Rs. 100 less than 3 times of what Henna gets.

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

Question 1039579: Solve the equation:
6x = sqrt(24+12x)
x = -3/2, 1
x = 3/2, 1
x = 2/3, 1
x = -2/3, 1

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

Question 1039679: A ball was kicked into the air from a balcony 20 feet above the ground, and the ball’s height above the ground, in feet, t seconds after the ball was kicked was ℎ(𝑡)= 20−16𝑡2+32𝑡. What was the maximum height, in feet, of the ball above the ground after it was kicked? How would I solve this problem?
Click here to see answer by ikleyn(52776) About Me 

Question 1039733: 1.
2x^2 +8x -24/ x^2 +x -12 Cant find range. I thought it was (negative inf, 2) and (2,inf) but it was wrong
2.
t^4 -19t^2 +48 Factor the polynomial completely. I got (t+4)(t-4)(t-sqrt 48)(t+sqrt48) this is wrong.

Click here to see answer by josgarithmetic(39616) About Me 

Question 1039732: .1 h(x) = x^4 + 4x^3 + 5x^2 + 4x + 4.
Write the polynomial as the product of linear factors?
List all the zeros of the function. (Enter your answers as a comma-separated list.)?

Click here to see answer by josgarithmetic(39616) About Me 

Question 1039725: If 6 is increased to 12,the increase is what percent of the original number ?
Click here to see answer by robertb(5830) About Me 

Question 1039747: Please help me solve this problem
If the side of a square are extended to form a rectangle. One side of the square is extended by 5cm and the other side by 2cm. The area of the rectangle is 130cm^3. Find the length of the side of the square.

Click here to see answer by josgarithmetic(39616) About Me 

Question 1039236: If 2 and 3 are two geometric means between m and n, find the values of m and n.
Click here to see answer by robertb(5830) About Me 

Question 1039238: Insert two geometric means between 2xy and 16xy^4.
Click here to see answer by robertb(5830) About Me 

Question 1039237: Three positive numbers form a geometric sequence. If the geometric mean of the first two numbers is 6 and the geometric mean of the last two numbers is 24, find the three numbers and their common ratio.
Click here to see answer by robertb(5830) About Me 

Question 1039728: Six times a number decreased by 20 is four times the number. Find the number
Click here to see answer by Reema Kumari(5) About Me 
Question 1039728: Six times a number decreased by 20 is four times the number. Find the number
Click here to see answer by MathTherapy(10551) About Me 

Question 1039726: A college that had 40 students for each lecture course increased the number of 45 students. What is the percent increase in the number of students in a lecture course ?
Click here to see answer by jorel555(1290) About Me 

Question 1039730: Find the missing coordinate of ordered pair so that it is solution
9x+4y-4=0

Click here to see answer by Fombitz(32388) About Me 

Question 1039796: solve the equation analytically.
2(x^3-x)=1

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

Question 1039731: complete the given table for equation
4x+y=9

Click here to see answer by Alan3354(69443) 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