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 1142116: step by step explanation on solving the following equation please:
7 + 8x - 5 = 5x + 9 + 4x

Click here to see answer by josgarithmetic(39616) About Me 
Question 1142116: step by step explanation on solving the following equation please:
7 + 8x - 5 = 5x + 9 + 4x

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

Question 1141861: Kayla consumed 1800 calories on Monday. She consumed 500 more calories on Tuesday than she did on Monday. On Wednesday, she consumed 100 calories less than she had on Tuesday. Find the rate of change in calorie intake from Monday to Wednesday.
Thank you

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

Question 1142314: Calculus Question
Find +D%5E132%5Bsin%287x%29%5D+.
(a) +-7%5E132sin%287x%29+
(b) +7%5E132sin%287x%29+
(c) +-7%5E132cos%287x%29+
(d) +-7%5E132cos%287x%29+
(e) None of these are correct.

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

Question 1142315: Calculus Question
Consider the function +f%28x%29=3x%5E5-5x%5E3%2B3+.
Use the first derivative to determine where the function is increasing or decreasing.
Find the local maximum and minimum values. Show your work.
Determine the intervals where the function is concave up or concave down.
Provide a sketch of the graph below. Label intercepts and critical points.

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

Question 1142313: Calculus Question
5. A particle moves according to the law of motion +s=t%5E3-12t%2B3%2C+t%E2%89%A50+, where t is measured in seconds and s in feet. Find the total distance traveled by the particle in the
first 3 seconds.
(a) 21ft.
(b) 22ft.
(c) 23ft.
(d) 24ft.
(e) None of these are correct

Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1142313: Calculus Question
5. A particle moves according to the law of motion +s=t%5E3-12t%2B3%2C+t%E2%89%A50+, where t is measured in seconds and s in feet. Find the total distance traveled by the particle in the
first 3 seconds.
(a) 21ft.
(b) 22ft.
(c) 23ft.
(d) 24ft.
(e) None of these are correct

Click here to see answer by greenestamps(13198) About Me 
Question 1142313: Calculus Question
5. A particle moves according to the law of motion +s=t%5E3-12t%2B3%2C+t%E2%89%A50+, where t is measured in seconds and s in feet. Find the total distance traveled by the particle in the
first 3 seconds.
(a) 21ft.
(b) 22ft.
(c) 23ft.
(d) 24ft.
(e) None of these are correct

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

Question 1142356: If I add 14 to my house number, the sum is a perfect square. If I subtract 14 from my
house number, the sum is also a perfect square. What is my house number?

Click here to see answer by math_helper(2461) About Me 
Question 1142356: If I add 14 to my house number, the sum is a perfect square. If I subtract 14 from my
house number, the sum is also a perfect square. What is my house number?

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

Question 1142534: Mary and Eve have the same number of roses. After Eve gave her mother 4/5 of her roses and Mary gave her friends 3/4 of her roses, then the number of roses Mary had left was 3 more than the number of roses Eve had left.
How many roses did Eve have at first?
Some help would be really appreciated
Thanks!

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

Question 1142612: u buy 100 animals for $100, cows cost $10,pigs cost $1.75 and chickens cost $.50 how many can u buy
Click here to see answer by ikleyn(52776) About Me 

Question 1142630: A local gym charges nonmembers $10 per hour to use the tennis courts. Members pay a yearly fee of $300 and $4 per hour for using the tennis courts. Write an equation to find how many hours, h, you must use the tennis courts to justify becoming a member.
Click here to see answer by math_helper(2461) About Me 

Question 1142635: Multiply the equation by a power of 10 to write an equivalent equation with integer coefficients. 6.2x+4.5=3.8x+7.9
Click here to see answer by greenestamps(13198) About Me 

Question 1142636: Multiply the equation by a power of 10 to write an equivalent equation with integer coefficients.
4.603y - 1.842 = 3.651y

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

Question 1142701: A farmer bought some sheep for Rs. 9000. If he had paid Rs. 100 less for each, he would have got 3 sheep more for the same money. How many sheep did he buy, when the rate in each case is same
Click here to see answer by Theo(13342) About Me 
Question 1142701: A farmer bought some sheep for Rs. 9000. If he had paid Rs. 100 less for each, he would have got 3 sheep more for the same money. How many sheep did he buy, when the rate in each case is same
Click here to see answer by ikleyn(52776) About Me 

Question 1142711: Calculus Optimization
A closed cylindrical can is to be constructed so that it has a volume of 1 liter (1000 cm3). What are the dimensions that should be used to minimize the amount of material needed to manufacture the can?

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

Question 1142709: Calculus Optimization Question
An open box is to be made from a 16 cm by 30 cm piece of cardboard by cutting out a square in each of the corners. The sides are then folded up to create the box. What are the optimum dimensions of the squares that should be cut out in order to maximize the volume?

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

Question 1142708: Calculus Optimization Question
A rectangular pen is being constructed with 500 feet of fencing. One side of the pen is the wall of a barn and does not require fencing. The other three sides are fenced. What are the dimensions of the pen that will maximize the area of the pen?

Click here to see answer by ikleyn(52776) About Me 
Question 1142708: Calculus Optimization Question
A rectangular pen is being constructed with 500 feet of fencing. One side of the pen is the wall of a barn and does not require fencing. The other three sides are fenced. What are the dimensions of the pen that will maximize the area of the pen?

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

Question 1142710: Calculus Optimization Question
An oil refinery is located on the north bank of a river that is 2 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 6 km east of the refinery. The cost of laying the pipe is $400,000/km over land to a point P on the north bank and $800,000/km under the river to the tanks. To minimize the cost of the pipeline, where should P be located?

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

Question 1142707: Calculus Optimization Question
A rectangular garden is to be surrounded by a low fence. There is only 100 feet of fencing available for all four sides. What is the largest possible area of the garden that can be fenced?

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

Question 1142727: **Solve using calculus optimization**
Find the point on the curve +y=x%5E2+ that is closest to the point (18, 0).

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

Question 1142726: **Solve using calculus optimization**
A company that produces chemicals used in manufacturing sells a certain product for $200 per unit. The total production cost for the product is
C(x)= 500,000 + 80x + 0.003x^2
The company can produce no more than 30,000 units during a given time period. How
many units of the chemical product should be manufactured and sold to maximize profit?

Click here to see answer by Alan3354(69443) About Me 
Question 1142726: **Solve using calculus optimization**
A company that produces chemicals used in manufacturing sells a certain product for $200 per unit. The total production cost for the product is
C(x)= 500,000 + 80x + 0.003x^2
The company can produce no more than 30,000 units during a given time period. How
many units of the chemical product should be manufactured and sold to maximize profit?

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

Question 1142559: Suppose your total benefits of renting x​ DVD's next month​ is:
-x^2+10x+60
The cost of renting a DVD is ​$2​, and so the total cost of renting x ​ DVD's is ​$2x.
Calculate your net benefit from watching​ 1, 2...8 DVDs. Complete column​ (2). ​(Enter your responses as integers.​)
​(1)
DVDs
Rented
​(2) Total Net Benefit
0 _____
1 _____
2 _____
3 _____
4 _____
5 _____
6 _____
7 _____
8 _____

Your net benefit is maximized at ________ DVDs.
Suppose further that your marginal benefit from watching x​ DVD's is -2x+10
If you follow the Principle of Optimization at the​ Margin, you will rent
______ DVDs.

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

Question 1142741: Find the cartesian equation that relates the volume and surface area of a sphere.
Thank you.

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

Question 1142765: Calculus Question
Determine the equation of the line tangent to the graph of +y=sqrt%28x%2B1%29+
at the point (3, 2). Write the line in slope-intercept form, and then graph the line. Use exact forms for all numbers. Do not use a decimal approxi
mation. Solve using calculus.

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

Question 1142764: Calculus Question
Use implicit differentiation to find y' for x^3 + y^3 = 12xy

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

Question 1142763: Calculus Question
Find the points on the ellipse:
4x^2 + y^2 = 4
that are farthest from (1, 0).
Hint: Begin with the distance formula.

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

Question 1142786: Rogers brother gave Roger his collection of coins when he left for college. At that time, the value of his collection was $720. Twelve years later, the collection was worth $1080. What is the rate of change? Don’t forget your units.
Click here to see answer by ikleyn(52776) About Me 

Question 1142808: Find the volume of a pyramid with height of 15 feet and whose base is a square with edges of lengths 10 feet. Show your work using a definite integral. Check your answer using the formula for the volume of a pyramid.
Click here to see answer by greenestamps(13198) About Me 

Question 1142839: how do you add 1+ 2+ 3+ +4 all the way up to say 200 or 300? Is there an equation to use for that?
Click here to see answer by greenestamps(13198) About Me 
Question 1142839: how do you add 1+ 2+ 3+ +4 all the way up to say 200 or 300? Is there an equation to use for that?
Click here to see answer by ikleyn(52776) About Me 

Question 1142804: Calculus Question:
Determine the volume of the sphere with radius 5 using the technique of disks or
washers. Remember to include the units. No credit will be given for relying only on the geometric formula. You must use the appropriate technique.

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

Question 1142316: Calculus Question
Use the Intermediate Value Theorem and Rolle's Theorem to determine that +f%28x%29=x%5E7%2B4x%5E5%2B3x%2B5+ has exactly one real root between -1 and 0.

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

Question 1142871: There are a total of 9 bicycles and unicycles in a path.
There are 13 wheels in total. If X is the number of bicycles, what is X^2

Click here to see answer by Edwin McCravy(20054) About Me 
Question 1142871: There are a total of 9 bicycles and unicycles in a path.
There are 13 wheels in total. If X is the number of bicycles, what is X^2

Click here to see answer by AnlytcPhil(1806) About Me 

Question 1142917: a^3b=abc=180 find the value of c?
Click here to see answer by greenestamps(13198) About Me 

Question 1142990: A total of 1740000 is budgeted for roadway. The rule of thumb for this type of project is that the pavement cost twice amount of the base material and the sidewalk cost one-fourth the amount of pavement. Using these figure, how much should the sidewalk cost
Click here to see answer by Theo(13342) About Me 

Question 1143064: Suppose the function r is defi ned as follows:
r (x) = 4^(2x+1) - 8
Write down Dr and solve the equation r (x) = 0

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

Question 1143063: Suppose the function his defi ned as follows:
h (x) = 12x^2 - 7x
Write down Dh and solve the inequality 10 ≥ h (x)

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

Question 1143086: The flat rate of taxis is 45 pesos. For every half-kilometer,
2 pesos and 50 centavos are added to the fare. What is the
equation for the total fare if k is the distance traveled in
kilometers and t is the cost?
Thank you in advance!

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

Question 1143146:
Click here to see answer by josgarithmetic(39616) 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