Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

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Question 505966: 9. Factor the following expression completely:
45x^3y – 80xy
can someone assist me with this?

Click here to see answer by rfer(16322) About Me 

Question 505957: 6. Factor the expression into a product of binomials.
49x^2-42xy+9y^2

I don't know how to do this please help.

Click here to see answer by rfer(16322) About Me 

Question 505952: 1. Factor out the greatest common factor from the expression
15x^5-9x^4

may I please get some help with this problem please.

Click here to see answer by rfer(16322) About Me 

Question 505964: 8. Andrew factored the expression -6x^3+9x^2-3x as -3x(2x^2-3x-1) . But when Melissa applied the distributive law and multiplied out -3x(2x^2-3x-1) , she got -6x^3+9x^2+3x ; thus, Andrew’s solution does not appear to check. Why is that? Please help Andrew to understand this better. Explain your reasoning and correctly factor the original expression, if possible. If the expression is prime, so state.

Please help!!!! Math Genius!!!

Click here to see answer by Gogonati(855) About Me 

Question 506106: Could someone please show me how to find the greatest common factor of -x^6,-3x^3,-9x^5
Click here to see answer by solver91311(24713) About Me 

Question 506288: 1. The cost, in millions of dollars, to remove x % of pollution in a lake modeled by

or

a. What is the cost to remove 65% of the pollutant?

Substitute x = 65 % into the first equation
Or x = 0.65 into the second equation







It will cost million to remove 65% of the pollutant.



b. What is the cost to remove 85 % of the pollutant?








It will cost million to remove 85% of the pollutant.

c. What is the cost to remove 95 % of the pollutant?







It will cost million to remove 95% of the pollutant.


d. What is the cost to remove 99.5% of the pollutant?








It will cost dollars to remove 99.5% of the pollutant.



e. For what value is this equation undefined?
Set denominator = 0 and solve:









Equation is undefined for x =
f. Do the answers to sections a–d match your expectations? Why or why not?







(Source: Sea World http://www.seaworld.org/animal-info/info-books/flamingo/physical-characteristics.htm )


2. Biologists want to set up a station to test alligators in the lake for West Nile Virus. Suppose that the costs for such a station are $8,500 for setup costs and $ 15.00 per animal to administer each test.
a. Write an expression that gives the total cost to test x animals.
Letting x = number of animals tested and C = total cost
C = Setup costs + (cost per test) times (tests)






b. You can find the average cost per animal by dividing total costs by number of animals. Write the expression that gives the average cost per animal.












c. Find the average cost per animal for 20 animals. 50 animals. 300 animals.

Number of animals (x) Cost Simplified answer
20 test
$/ test
50 test
$/ test
300 test
$/ test



d. As the number of animals tested increases, what happens to the average cost to test the animals? Would the average cost ever fall below $15.00? If so, identify a value that supports your answer. If not, explain how you know.








e. How many animals should be tested for the average cost to be $20.00 per animal?






animals must be tested for the average cost to drop to $20.00 per animal.










3. To estimate animal populations, biologists count the total number of animals in a small section of a habitat. The total population of animals is directly proportional to the size of the habitat (in acres) polled.
a. Write an equation using only one variable that could be used to solve for the constant of variation k.
Letting A = number of animals, and L = amount of land (acres),
k = animals per acre




b. A biologist counted the number of mule deer in a 320 acre parcel of land in a nature preserve and found 9 deer. Find the constant of variation k.







c. If the entire nature preserve is 30,000 acres, then what is the total mule deer population in the preserve? Describe how you arrived at your answer.
Use the answer from part b,







We would expect there to be mule deer in the entire preserve.

Click here to see answer by richard1234(7193) About Me 

Question 506455: The difference between 2x2 + 4xy -3 And x2- 2xy -4 is:
Click here to see answer by unlockmath(1688) About Me 

Question 507126: Please help me factorise 4x%5E5-8x%5E3-5x%5E2%2B10
Thank you

Click here to see answer by geetha_rama(94) About Me 

Question 507283: zero product property
2w^2=16w

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

Question 507336: Please help me with this. I'm suppose to simplify and answer with only positive exponents (3/2)^8 (3/2)^-5 (3/2)^-4 I'm not sure what to do with the 3/2 am I raising to the power and then multipling them. I do know that with the (3/2) that have the negative exponents I flip them to (2/3) but I'm just not sure what to do with all of it together. Thank you for any help you can give.
Click here to see answer by stanbon(75887) About Me 

Question 507338: Please help with this question. I'm suppose to perform indicated operation
6^-2r^-3
_____________
2^3(r^-5)^-3 I know I'm suppose to use the quotient rule but I'm not sure do I put 8 on top and bring the -36 down and then do I simplify that fraction I'm left with. Thank you for any help.

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

Question 507465: Bob's Barber Shop estimates their gross revenue for the second quarter to be given by the polynomial 7x^3 - 9x^2 - 2x + 4. The shop estimated their cost for that quarter to be given by x^2 + 7x - 5. For the second quarter find and simplify a polynomial that will represnt their profit.
Click here to see answer by nerdybill(7384) About Me 

Question 507564: 2- a-15/a+5=a^2-5/a+5
Click here to see answer by jim_thompson5910(35256) About Me 

Question 507575: Hi I was hoping someone could help me with this please!!!! Thank you!!!
(x + 6)(x - 6) multiply

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

Question 507323: 36y^2+60y+25

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

Question 507537: I have a problem that doesn't make sense to me. If someone could help me I would really appreciate it.
the question:
The base of a triangle is 5cm greater then the height. The are is 18cmsq. Find the height and length of the base.
so the base is
h+5
height is
h
area=18
Please help!

Click here to see answer by Earlsdon(6294) About Me 

Question 507535: Hello I have a problem that I need someone to walk me through because I keep working it over and over and still am not getting anywhere.
(x^4-8x^2+15) Divided by (x^2-5)
the^ signals an exponent.

Click here to see answer by Earlsdon(6294) About Me 

Question 507620: 2/x+3/10=5/x-1/4
Click here to see answer by stanbon(75887) About Me 

Question 507612: 5/4x+2/3x=1/3
Click here to see answer by jim_thompson5910(35256) About Me 
Question 507612: 5/4x+2/3x=1/3
Click here to see answer by oberobic(2304) About Me 

Question 507713: 1. Factor out the greatest common factor from the expression
24xyz^2 + 20x^2yz – 4x^2z^2

help, help, help!

Click here to see answer by Alan3354(69443) About Me 
Question 507713: 1. Factor out the greatest common factor from the expression
24xyz^2 + 20x^2yz – 4x^2z^2

help, help, help!

Click here to see answer by MathTherapy(10549) About Me 

Question 507711: 10. Completely factor the expression
144x^2 – 900y^2

11. Completely factor the expression
54x^3 – 72x^2y + 24xy^2

Hi I am down to the last two and I need some help quickly please!

Click here to see answer by Earlsdon(6294) About Me 

Question 507705: 8. The length of a rectangle is 3 meters more than its width. If the area is 108 square meters, what are the length and width?
OK I definetly need some help with these, please!

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

Question 507702: 6. Completely factor the following expression:
36a^2 – 84ab + 49b^2

7. Completely factor the following expression:
9y^2 – 16z^2

I do not understand please help me!I am desperate!!

Click here to see answer by jim_thompson5910(35256) About Me 
Question 507702: 6. Completely factor the following expression:
36a^2 – 84ab + 49b^2

7. Completely factor the following expression:
9y^2 – 16z^2

I do not understand please help me!I am desperate!!

Click here to see answer by richard1234(7193) About Me 

Question 507700: 4. Use the “difference of squares” rule to factor the following expression:
25b^6-36c^4

someone please rescue me!!

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

Question 507707: 9. A 150-ft diagonal brace on a bridge connects a support of the center of the bridge to a side support on the bridge. The horizontal distance that it spans is 30 ft longer than the height that it reaches on the side of the bridge. Find the horizontal and vertical distances spanned by this brace.


Calling all math genius please help me!

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

Question 507839: x^3 - 2x^2 - 24x
Click here to see answer by stanbon(75887) About Me 

Question 507849: I'm not sure how to factor 216p^3-1
Click here to see answer by Alan3354(69443) About Me 

Question 507896: How do you factor m with a power of 2, -24m -81.
Click here to see answer by oberobic(2304) About Me 

Question 508051: In 1930s, the Indian physicist Chandrasekhar and others predicted the existence of neutron stars. These stars can have a density of 10 billion tons per teaspoonful. Express this density in scientific Notation
Click here to see answer by jim_thompson5910(35256) About Me 

Question 508075: Elena bicycles 7 km/h faster than Carlos. In the same time it takes Carols to bicycle 48 km, Elena can bicycle 69 km. How fast does each bicyclist travel?
Click here to see answer by stanbon(75887) About Me 

Question 507854: Hi I was hoping someone could please help me with this! Thank you so much!!!! :)

Write two equivalent expressions for the opposite of each polynomial,
(−4x2 + 2x) − (−5x2 + 2x3 + 3)

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

Question 508232: 1. Factor out the greatest common factor from the expression
24xyz^2 + 20x^2yz - 4x^2z^2
I am on a deadline and I do not know how to do this please please help me !!

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

Question 508263: The distance, s (in feet), that an object on the moon will fall in t seconds is given by s(t) = 2.735t2. How far will an object fall on the moon in 9s?

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

Question 508367: (-3)^-2 + 4^-1
Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 508423: Solve using the elimination method. Ff the system has no solution or an infinite number of solutions, state it -12x+27y=60, -6x-6y=30

Click here to see answer by swincher4391(1107) About Me 

Question 508431: A new truck has arrived at Kroger. It takes Jimbo six hours to unload such a truck, while it takes Olaf
ten hours to unload it. If Jimbo and Olaf work together, how long will it take them to unload the truck?

Click here to see answer by stanbon(75887) About Me 
Question 508431: A new truck has arrived at Kroger. It takes Jimbo six hours to unload such a truck, while it takes Olaf
ten hours to unload it. If Jimbo and Olaf work together, how long will it take them to unload the truck?

Click here to see answer by lmeeks54(111) About Me 

Question 508432: The ratio of bad Billy Joel songs to good Billy Joel songs is 25 to 2. He has recorded 184 more bad
songs than good songs. How many good songs has he recorded?

Click here to see answer by swincher4391(1107) About Me 

Question 508453: Hi I was hoping someone could please help me with this please!
Thank you!!!! :)
Multiply. Try to recognize the type of product before multiplying. (a3 + 5)(a3 − 5)

Click here to see answer by melshlovo(4) About Me 

Question 508456: Hi I was hoping someone could please help me with this please!
Thank you!!!! :)
Divide and check:
(20t3 − 15t2 + 30t) ÷ (5t)

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

Question 508795: Graph equation 7x-5y=-35 in rectangular coordinate system.also find the slope,x, and y intercepts
Click here to see answer by oberobic(2304) About Me 
Question 508795: Graph equation 7x-5y=-35 in rectangular coordinate system.also find the slope,x, and y intercepts
Click here to see answer by jerryguo41(197) 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