Questions on Algebra: Equations answered by real tutors!

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Question 1158664: a ball is dropped from a height of 2 meters and bounces up to 3/4 of its previous height on each bounce. using geometric series, how much TOTAL DISTANCE (up and down) does the ball travel until it stops bouncing?
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Question 1158676: If α and β are acute angles such that cos α = 4/5 and tan β = 15/8, find the following.
a). sin (a+B)
b). cos (a+B)
I am not sure how to start this. If you know how to do this please show me the process. I want know how to do this! Thank you.

Click here to see answer by MathLover1(20849) About Me 

Question 1158677: Find the exact values of sin 2θ, cos 2θ, and tan 2θ for the given value of θ.
cos θ = 3/5; 0° < θ < 90°
a).sin 2θ
b).cos 2θ
c).tan 2θ
Please help! I want to know how to solve these kind of problems so please don't just show me the answer. Thank you :)

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Question 1158674: Use the given conditions to find the exact value of the expression.
sin α = − 5/13, tan α > 0, sin(α − 2π/3)
I am not sure if I need to solve for sin a=-5/13 or sin (a-2π/3)
Please help! I want to know how to do this problem so if you could walk me through it that would help a lot! Thank you.

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Question 1158598: Given the graph of f,descibe how the graph of y=4/3f(x-3)+4/3 can be obtained from the graph of f by steps of transformation.
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Question 1158717: y squared plus 6y equals 7

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Question 1158717: y squared plus 6y equals 7

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Question 1158725: How many solutions does the equation 4x + 6 = 2(2x + 3) have?
2 solutions
6 solutions
No solutions
Infinite solutions

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Question 1158754: This problem has a graph that goes with it but I cannot paste it here. The graph is of a negative sin function that passes through the origin with an amplitude of 5, period 6pi and phase shift -3pi. What I have trouble with is writing the formula in the form y=asin (bx+ or -c). I put y=5sin(1/3x-pi) which is wrong and I want to know why its wrong. Please help me! If you know how to do this please explain the steps so i understand where I went wrong. Thank you!
Click here to see answer by jim_thompson5910(35256) About Me 

Question 1158815: five times the difference of a number and 2 is equal to the quotient of the same number and 6
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Question 1158825: 80+180+57+x+x=540


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Question 1158818: What is the value of d in the equation below? Round you answer to the nearest hundredth.
1/5(d+2)+5=1/4(2−d)+2

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Question 1158816: five times the difference of a number and 2 is equal to the quotient of the same number and 6
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Question 1158876: If a^2= b^3, and b^2=16, then
this are the choices
a. 0.8
b. 0.5
c. 0.4
d. 0.2

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1158891: x+6/x^2+x-20
What value or values of x are not allowed in this rational expression?
(If you find two solutions, separate them with a comma.)

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Question 1158891: x+6/x^2+x-20
What value or values of x are not allowed in this rational expression?
(If you find two solutions, separate them with a comma.)

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Question 1158889: x^2-3x/x^2+2x+3
Evaluate this expression when x = -2.

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Question 1158888: Bob's garden is 20 feet wide and 60 feet long. He cuts its size by taking x feet from the width and 6 times that from the length. The new garden will be 750 square feet smaller than the old. How many feet wide is the new garden?
(If you find two solutions, separate them with a comma.)

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Question 1158865: given the graph of g, describe how the graph of y=-g(2x)+2 can be obtained from the graph of g by steps of transformation
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Question 1158065: Equations And Formular: The Result Of Taking 3 From X And Multiplying The Answer By 4 Is The Same As Taking 3 From Five Time X A) Express This Statement As An Algebraic Equation B) Hence Find The Value Of X
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Question 1159049: Tim answered all the questions on his math test but got 10 answers wrong. He received 4 points for every correct answer, and there was no penalty for wrong answers. His score was 76 points. Write an equation to determine the total number of questions (q) left on Tim's math test.
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Question 1159180: 1. One number is four less than three times another. their sum is -16.

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Question 1159220: Use the given conditions to find the exact value of the expression.
cos α = 24/25, sin α < 0,cos(a+ 11π/6)
I am not sure if i just substitute 24/25 for a in the cos(a+11pi/6)
I did that and got (144+275pi)/(150) which is incorrect. What am I doing wrong? Please help...

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

Question 1159219: Express as a trigonometric function of one angle.
cos 8 sin(−1) − cos 1 sin 8
Not sure how to write this. My professor only gave me double and half angle formulas so I am confused. Please help!

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

Question 1159218: Make the trigonometric substitution
x = a tan θ for −π/2 < θ < π/2 and a > 0.
Simplify the resulting expression.
x2/sqrt%28a%5E2+%2B+x%5E2%29
Please help! I do not know what I am substituting nor do I know how to solve this problem.

Click here to see answer by MowMow(42) About Me 

Question 1159488:
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Question 1159512: What is the value of d in the equation below? Round you answer to the nearest hundredth.
1/5 (9 +2) +3 = 1/4 (4-d) + 1
1/5 ( 11 ) +3 = 4/4 -d/4 + 1
11/5 + 3 = 1 - d/4 + 1
11/5 + 3×5/5 = 2 - d/4
11/5 + 15/5 = 2 - d/4
26/5 = 2 - d/4
d/4 = 2 - 26/5
d/4 = 2×5/5 -26/5
d/4 = 10/5-26/5
d/4 = -16/5
d = 4×-16/5
d = -64/5
d = -12.8
d nearest hundred solution of d = -100

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Question 1159512: What is the value of d in the equation below? Round you answer to the nearest hundredth.
1/5 (9 +2) +3 = 1/4 (4-d) + 1
1/5 ( 11 ) +3 = 4/4 -d/4 + 1
11/5 + 3 = 1 - d/4 + 1
11/5 + 3×5/5 = 2 - d/4
11/5 + 15/5 = 2 - d/4
26/5 = 2 - d/4
d/4 = 2 - 26/5
d/4 = 2×5/5 -26/5
d/4 = 10/5-26/5
d/4 = -16/5
d = 4×-16/5
d = -64/5
d = -12.8
d nearest hundred solution of d = -100

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Question 1159511: Solve the inequality
7x-3/-4 < 6
x __ {<, >} ___ {-24, -3, 3, 24}

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Question 1159656: Mathew has thrice as many marbles as Christian. Christian has 60 more marbles than Tony. They have a total of 800 marbles altogether. How many more marbles does Mathew have than Tony?
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Question 1159611: Please help me solve this word problem .
Adams High prevailed in a track meet with the help of 20 individual-event placers earning a combined 68 points. A first-place finish earns 5 points, a second place finish earns 3 points, and a third-place finish earns 1 point. Adams had a strong second place showing, with as many second-place finishers as first-and third place finishers combined. Use a system of linear equations to model the data. Solve the system to find how many athletes finished in each place.

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Question 1159626: Tom,Harry and joan shared sh.29000 among themselves.Tom got sh. 300 more than Harry.Harry got sh.5000 less than Joan.How much did each of them get?
Click here to see answer by mananth(16946) About Me 

Question 1159729: There are 30 million bacteria per square centimeter of coral in a coral reef. The coral reef covers 11,000 km2. How many bacteria are there in the coral​ reef?
Click here to see answer by Boreal(15235) About Me 

Question 1159874: A boat leaves the dock and travels at 5.5 knots per hour headed East.
How far does it go in 4 hours?

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Question 1159874: A boat leaves the dock and travels at 5.5 knots per hour headed East.
How far does it go in 4 hours?

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Question 1159874: A boat leaves the dock and travels at 5.5 knots per hour headed East.
How far does it go in 4 hours?

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

Question 1159887: Determine the value of %28x%5E2y-y%5Ez%29%2F%28y%5E2%29 when:
(1)y=2
(2)x=2z,z=y%5E2
Answers:
A) (1) on its own.
B) (2) on your own.
C) Both (1) and (2) together.
D) Each on its own, (1) or (2).
E) Additional information is required.


Click here to see answer by Alan3354(69443) About Me 
Question 1159887: Determine the value of %28x%5E2y-y%5Ez%29%2F%28y%5E2%29 when:
(1)y=2
(2)x=2z,z=y%5E2
Answers:
A) (1) on its own.
B) (2) on your own.
C) Both (1) and (2) together.
D) Each on its own, (1) or (2).
E) Additional information is required.


Click here to see answer by greenestamps(13198) About Me 

Question 1159992: A satellite has a circular orbit around a planet with a radius of 4350 mi. The satellite makes a complete orbit of the planet in 3 days, 9 h, and 15 min. Find the linear speed of the satellite
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Question 1160097: I do not understand this problem...
What expression cubed is x^12?
thank you

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Question 1160097: I do not understand this problem...
What expression cubed is x^12?
thank you

Click here to see answer by josgarithmetic(39616) About Me 
Question 1160097: I do not understand this problem...
What expression cubed is x^12?
thank you

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Question 1160165: Density is the ratio of mass to volume. Cesium has a density of 1.90*10^3 kg/m3. What is the density of cesium in units of g/cm3?
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Question 1160166: Perform these operations with the appropriate number of significant figures.
(a) 3.924*10^6 + 1.68*10^8
(b) (3.924*10^6)/(7.3*10^-2)

Click here to see answer by MathLover1(20849) About Me 

Question 1160210: the voulume v of a cone of height h and base radius r is 1/3 pie r racetopower 2 h
a.obtain a fourmular for r
b.find the base radius of a cone of height 14cm and voulume 91 2/3cm racetopower 3
take pie 22/7

Click here to see answer by mananth(16946) 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, 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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