Questions on Algebra: Equations answered by real tutors!

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Question 1106324: The surface area of a rectanglular solid is given by the formula S = 2lw+2lh+2wh, where l= length, w= width and h= height.
Solve for w: S = 2lw+2lh+2wh
Click here to see answer by Boreal(15235)

Question 1106350: The equation is x=-3 can someone please help me understand this problem I need graph five points. Here are the guidelines please help.
To solve this problem, you will be required to do some work that will not be included in the discussion point.
�First, graph your functions so that you can clearly describe the graphs in your post. Your graph itself is not required in your post, although a discussion of the graph is required. Make sure you have at least five points for each equation to graph. Show all math work for finding the points.
�Mention any key points on the graphs, including intercepts, vertex, or start/end points. Points with decimal values need not be listed, as they might be found in a square root function. Stick to integer value points.
�Discuss the general shape and location of each of your graphs.
�State the domain and range for each of your equations. Write them in interval notation.
�State whether each of the equations is a function or not giving your reasons for the answer.
�Select one of your graphs and assume it has been shifted three units upward and four units to the left. Discuss how this transformation affects the equation by rewriting the equation to incorporate those numbers.
�Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing. Do not write definitions for the words; use them appropriately in sentences describing the thought behind your math work.
◦Function
◦Relation
◦Vertical Line test
◦Transformation

Click here to see answer by ikleyn(52781)

Question 1106406: If I have a perpendicular line that passes through (5,1) what is the x-interdept of the perpendicular line? my answer is x+3y=2 x+3(0)=2 x=2 (2,0) am I right
Click here to see answer by ikleyn(52781)

Question 1106405: what is the equation in standard form of a perpendicular line that passes through (5,1) I have tried several ways and am totally confused now but if m=1/3 y+1 = -1/3(x-5) y+1=1/3x+5/3 -1 y=-1/3x +2/3 1/3x+y=2/3 x+3y =2
Click here to see answer by ikleyn(52781)

Question 1106425: Can I please get help in solving this question. Thanks :)
i)e^2x - 5e^x + 6 = 0
Click here to see answer by ikleyn(52781)

Question 1106424: Can I please get help solving these equations to find the value of x and can I please see the working as I am unsure of how to solve them:
i)e^2x + 5e^x + 6 = 0
ii) ln (x+4) + ln(x-2) = ln 7
iii) 3 tan^3 (x) - 3 tan^2 (x) - tan (x) + 1 = 0
Thanks :)
Click here to see answer by greenestamps(13200)

Question 1106481: Find two consecutive odd integers such that their product is 119 more than 7 times their sum.
Click here to see answer by Boreal(15235)

Question 1106526: What is the graph of y=(1/3)^x
What can you determine about the domain and range from the result of this graph?
Click here to see answer by Theo(13342)

Question 1106550: Help me answer this question please:
⌊1.25 + ⌊𝑥⌋⌋ = 12
I am completely unsure as I have no clue what that style of brakcets mean
Click here to see answer by math_helper(2461)

Question 1106586: A, B, C, and D are distinct digits, and 4xAAB=CDA. If C is less than D, find the sum A+B+C+D.
Click here to see answer by greenestamps(13200)

Question 1106652: compute f(x)-f(2)/x-2 for the following function. Assume x≠ 2.
f(x)=5
Click here to see answer by Alan3354(69443)

Question 1106714: For any three consecutive numbers prove algebraically that the largest number and the smaller number are factors of the number that is one less than the square of the middle number.
Click here to see answer by dkppathak(439)

Question 1106715: Expand and Simplify
(x+2)(x+8)(x-4)
Click here to see answer by Alan3354(69443)

Question 1106735: I'm finding it difficult to work out why the following question has the answer of -17/2, could someone help please?
Here is the question and my working so far:
9 - 2x = -8 - 4x (the question)
My attempt:
9 - 2x = -8 - 4x
9 - 2x +8 = -8 +8 -4
17 - 2x = - 4x
17 -2x + 2x = -4x + 2x
17 = -2x
-2x/-2x = 17/2.

I understand that my answer is incorrect and that the correct answer is -17/2, but I'm having trouble working out why this is?

Would someone be able to help?

With regards
Diannia Scantlebury

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

Question 1106649: The dimensions of a present that is a rectangular prism are given by 2x+3, x-2, and x-5. Write an equation representing the volume of the box, in the form f(x)=ax^3+bx^2+cx+d. Identify and justify all inadmissible values for x.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1106781: Write an equation with the solition x=25 The equation should have the variable on both sides, a decimal coefficient on the left side and a decimal anywhere on the right. One of the decimals should be written in tenths, the other in hundredths.
Click here to see answer by josgarithmetic(39617)

Question 1106796: how to solve -3=2/5v
Click here to see answer by ikleyn(52781)

Question 1106796: how to solve -3=2/5v
Click here to see answer by Alan3354(69443)

Question 1106825: I am trying to figure out how to do this problem, but I am dyslexic and can't do it on my own. Can you help?
f(x)=x^2+2
in the book, our goal is to find the domain of these functions.
Take your time.
-Thanks
Click here to see answer by addingup(3677)

Question 1106862: I was not at school for 3 days and do not understand how to do this homework, so if you could please help me with this problem so I can understand;
Instructions: tell whether the ordered pair is a solution of the given inequality
1. (1,6); y < x + 6
Click here to see answer by ikleyn(52781)

Question 1106881: 7,2 to quadratic equation standard form is x^2-9x+19=0 correct??
Click here to see answer by ikleyn(52781)

Question 1106881: 7,2 to quadratic equation standard form is x^2-9x+19=0 correct??
Click here to see answer by josgarithmetic(39617)

Question 1106892: solve the systems using addition
so far this is what I have:
4x+2y =-4
3x+5y = 2
__________
7x+7y =2
7x+7y -7y = 2-7y
7x/7 = 2/7 -7y/7
x = 2/7 - y
This just feels wrong... please help

Click here to see answer by greenestamps(13200)

Question 1106957: In our modern era, digital television is a norm, and most homes have HDTVs. HDTVs are usually rectangular in shape and have a standard aspect ratio of 16:9.
1-What do we mean by aspect ratio?
2-In a paragraph or two, at least 100 words, what is an HDTV? Explain the meaning of HDTV. How is an HDTV different from previous ordinary televisions?
3-Derive a formula for the area of the screen of an HDTV as a function of only the height of the screen.
4-Derive a formula for the diagonal of the screen as a function of the height of the screen.
5-Derive a formula for the diagonal of the screen as a function of the area of the screen.
6-Illustrate with a graph the relationship between the diagonal and the area of the screen. Please make sure your graph is appropriately labeled.
7-What is the diagonal if the area is 2,823 cm^2?

Click here to see answer by Alan3354(69443)

Question 1106986: 1. x^x=46656
2. x!=3628800
If I plug in some values, I can solve, but the problem is that I do not figure out a way to list out the possess. So what's the possess?
Click here to see answer by math_helper(2461)

Question 1107013: can some one please help me Solve the system using addition:
x/2 + y = 5/2
x/3 -y/3 = -1/3
I cannot seem to figure this out I am stumped on how to get opposite coefficients.
Click here to see answer by Alan3354(69443)

Question 1107022: Factor the following polynomial. Reduce any fractions.
X^3-2x^2-5x+6
Click here to see answer by Alan3354(69443)

Question 1107022: Factor the following polynomial. Reduce any fractions.
X^3-2x^2-5x+6
Click here to see answer by ikleyn(52781)

Question 1107021: Factor the following polynomial. Reduce any fractions.
x3−2x2−5x+6

Click here to see answer by Alan3354(69443)

Question 1107039: Solve for x. x!=1 (two answers are required)
According to math_tutor (887), we can solve equations with factorials with the below method:
"There is no easy inverse function for the factorial (gamma function).
However, given x! = (a value) you can start by dividing by 2, then 3, then 4, etc. When your division produces a value of 1 then that last division is the value of x."
Using this method, I can solve the equation (but just one value):
x!=1
x!/1=1/1
1=1
Therefore, x=1
BUT is there any way (a process) that can solve x=0?
Click here to see answer by Edwin McCravy(20055)

Question 1107037: Solve for x.
x^x=1 (Two answers are required)
According to math_helper (887), he/she said the following:
x^x=1
xXIn(x)=In(1)
xXIn(x)=0
Now, here comes the trouble, BUT if I plug in, 0 and 1 are valid,
as 0^0=1, 1^1=1.
But, if I use his/her way:
Predict x=0
0XIn(0)=0
Error=0
???Not valid?
Predict x=1
1XIn(1)=0
0=0
Valid.
So 0 is not valid for x? If not, what's the process to find/prove out x=0?
Click here to see answer by ikleyn(52781)

Question 1107052: The size of a certain insect population at time t (in days) obeys the function P(t)=281e^0.09t
What will be the population after 10 days?
Round your answer to the nearest whole number.
Click here to see answer by ikleyn(52781)

Question 1107033: 11x-2/3 - 1/2(3x-1) = 17x+7/6 - 2/9(7x-2)
Click here to see answer by Alan3354(69443)

Question 1107129: Doug wants to start a physical therapy practice. His financial advisor comes up with the following profit function for his business: P(x)=-1/2x^2+150x-10000 where x represents the amount, in dollars, that he charges his clients. How much will it cost for him to start the business? What should he charge his clients to make the most profit?
Click here to see answer by Boreal(15235)

Question 1107128: Giselle wants to run a tutoring program over the summer. She comes up with the following profit function: P(x)=-2x^2+100x=25 where x represents the price of the program. Between what two prices should she charge to make a profit? How much should she charge her students if she wants to make the most profit?
Click here to see answer by Boreal(15235)

Question 1107190: Consider the linear function
g(x)=−3^x−2.
Simplify answer. Reduce fractions, if any. Do not use decimals
Find Determine the average rate of change from 2 to 5.
Click here to see answer by ikleyn(52781)

Question 1107204: Write a proportion to find how many points xx a student needs to score on a test worth 150 points to get a test score of 96%.

Click here to see answer by ikleyn(52781)

Question 1107204: Write a proportion to find how many points xx a student needs to score on a test worth 150 points to get a test score of 96%.

Click here to see answer by stanbon(75887)

Question 1107252: Hi I recently received this question from a peer and I am unable to solve it due to the challenging wording. Could anyone please aid me in this question along with some working. Attempted the question and final answer was y= 9x-16 so could anyone please attempt and show working to see if my answer is correct. Question is:
Find an question of each normal line to the curve y= x^3 - 3x that is parallel to the line 2x+18y-9=0
Click here to see answer by ikleyn(52781)

Question 1107253: Honest to god I got no clue how to answer this question. Anyone that can solve can get a 5$ paypal after they send the working. Put your e-mail at the bottom of the work.
Question is
Using the definition of dY/ dX= lim h-> 0 (f(x+h)-f(x))/ h) find the average rate of change of the function f(x) = 2 + cos x over the interval (O, Pie)
Click here to see answer by ikleyn(52781)

Question 1107267: Seventeen is two larger than three times a certain number. Find the number.
Click here to see answer by Alan3354(69443)

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