Questions on Algebra: Equations answered by real tutors!

Tutors Answer Your Questions about Equations (FREE)

Question 1191598: What is 14203 base5 divided 12 base5?
Click here to see answer by greenestamps(13200)

Question 1191598: What is 14203 base5 divided 12 base5?
Click here to see answer by Alan3354(69443)

Question 1191599: Verify the accuracy of my answer by writing the two numbers (i.e. 880 and 920) in expanded form and carrying out the multiplication in terms of partial products and summing all these products. My answer is 809,600, how do I get this in expanded form?
Click here to see answer by greenestamps(13200)

Question 1191595: In what bases b, does (b+8) divide into (7b+8) with no remainder?
Click here to see answer by Alan3354(69443)

Question 1191628: The production cost represented by y,of smartphone devices are equal to the product of computing components(a)and the square of the number of devices(x)added to the product of labour(b)and number of devices (x)after which savings on reusable material(c)are subtracted.
Write down an equation to represent the production cost(y)in terms of a,x,b and c.

Click here to see answer by Theo(13342)

Question 1191700: Find the equations of the two tangent lines to f(x)=x^2 that pass through the point (-1,3), a point not on the graph of f.
Click here to see answer by ikleyn(52781)

Question 1191655: ABC is an isosceles triangle with AB = AC . [FD] is drawn perpendicular to [BC] so it intersects [CA] at E, and the extension of [BA] at D. Show that triangle ADE is isosceles. Hint: Start by letting hat CBA = alpha
Click here to see answer by greenestamps(13200)

Question 1191793: Simplify:
(3x)/(13)-(x+7)/(8)
Click here to see answer by Alan3354(69443)

Question 1191792: Solve the equation:
(x)/(x+2)=(3x+1)/(x-1)+(4)/(x^2+x-2)
Click here to see answer by Alan3354(69443)

Question 1191905: solve the inequality algebraically

2x/x-3 > 3x/2x+4
please solve with full answer thank you so much! :)
Click here to see answer by MathLover1(20849)

Question 1191905: solve the inequality algebraically

2x/x-3 > 3x/2x+4
please solve with full answer thank you so much! :)
Click here to see answer by greenestamps(13200)

Question 1191905: solve the inequality algebraically

2x/x-3 > 3x/2x+4
please solve with full answer thank you so much! :)
Click here to see answer by math_tutor2020(3817)

Question 1191949: Find the equation of the quadratic function satisfying the given conditions. (Hint: Determine values of a, h, and k that satisfy P(x)=a(x-h)^2+k.) Express the answer in the form P(x)=ax^2+bx+c. Use a calculator to support the result.
Vertex: (-3,-5); through (5,123)
P(x)=

Click here to see answer by Boreal(15235)

Question 1191950: Find the values of a, b, and c for which the quadratic equation has the solutions 9i and -9i.
(Hint: Use the zero-product property in reverse.)
Click here to see answer by Alan3354(69443)

Question 1192005: Find the values of a, b, and c for which the quadratic equation ax^2+bx+c=0 has the solutions 5-√26 and 5+ √26.
(Hint: Use the zero-product property in reverse.)
a=
b=
c=
(Type an integer or a simplified faction.)
Thank you so much for your help!(:
Click here to see answer by math_tutor2020(3817)

Question 1192008: Hello! so I have 3 parts answered out of 4 of this 4 part question on my homework, any explanation would be greatly appreciated! bit confused...
A piece of sheet metal is 2.7 times as long as it is wide. It is to be made into a box with an open top by cutting 3-inch squares from each corner and folding up the sides. Answer the following questions.
1)Represent the length of the original piece of sheet metal in terms of x.
The length is 2.7x
2)x has restrictions. Which of the following are the restrictions for x?
x>6

3)Which function V represents the volume of the box in terms of x?
V=3(x-6)(2.7x-6)
4)The volume of the box must be between 600 and 800 cubic inches. Between which two values must x be in order to produce this range of volumes?
?
(Use a comma to separate answers as needed. Round to the nearest tenth as needed.)
Thank you!

Click here to see answer by josgarithmetic(39617)

Question 1192073: A baseball is dropped from a stadium seat that is 81 feet above the ground. Its height s in feet after t seconds is given by s(t)=81-16t^2. Estimate to the nearest tenth of a second how long it takes for the baseball to strike the ground.
(Simplify your answer. Round to the nearest tenth as needed.)
thanks!(:
Click here to see answer by Alan3354(69443)

Question 1192071: Find the values of a, b, and c for which the quadratic equation ax^2+bx+c=0 has the solutions 4-√ 17 and 4+√ 17.
(Hint: Use the zero-product property in reverse.) thank you!
Click here to see answer by math_tutor2020(3817)

Question 1192078: For the quadratic function defined, (a) write the function in the form P(x)=a(x-h)^2+k, (b) give the vertex of the parabola, and (c) graph the function.
P(x)=2x^2-10x-1
any help would be great thank you so much!
Click here to see answer by math_tutor2020(3817)

Question 1192075: A kite is flying on 369 feet of string. How high is it above the ground if its height is 279 feet more than the horizontal distance from the person flying it? Assume the string is being released at ground level.
thank you for your help!
Click here to see answer by josgarithmetic(39617)

Question 1192141: Find the inverse of the function
y=2+5(3^0.5x-2)
Click here to see answer by greenestamps(13200)

Question 1192142: Write as a single logarithm
2+(1/2)log5(x-1)-3log5(2z)+(2/3)log5(y)-log5(a)
Click here to see answer by Edwin McCravy(20055)

Question 1192151: A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the situation? Check all that apply.
x=1/2y-3
2x-y=-6
2x-y=-3
x=1/2(y-3)
y=10(x-1)
Click here to see answer by josgarithmetic(39617)

Question 1192266: if μΔλ= μ+λ/μ-λ’, what is the value of 6/7Δ7/6?
Click here to see answer by greenestamps(13200)

Question 1192331: Consider m=2^9*17^3*67^2. Without elaborate calculation, tell which of the following expressions could not be factors of m. Explain how you know.
1.) 2^8*7
2.) 2^10*17^2*67
3.) 2^8*17^2*67^2
4.) 34^3
5.) 134^2
Click here to see answer by josgarithmetic(39617)

Question 1192401: write the equation of the line through the given points. through (2,0) and (-2,1)
Click here to see answer by Alan3354(69443)

Question 1192455: marc had 5 coupons for $2,50 off the regular price of a movie. he bought his tickets for himself and 4 friends he paid 42.25. the regular price for each ticket was?

Click here to see answer by ikleyn(52781)

Question 1192454: Use the intermediate value theorem to show that the function has a zero between the two numbers given. Then, use your calculator to approximate the zero to the nearest hundredth.
P(x)=6x^4-6x^2+4x-2;0.5 and 1
Any help is appreciated thank you!
Click here to see answer by math_tutor2020(3817)

Question 1192487: There are 62 major sources of pollen in state A. These pollen sources are categorized as grasses, weeds, and trees. If the number of weeds is 5 less than the number of grasses, and the number of trees is 2 more than the number of grasses, find the number of grasses, weeds, and trees that are major pollen sources.
Click here to see answer by ikleyn(52781)

Question 1192457: Factor P(x) into linear factors given that k is a zero of P.
P(x)=x^3-x^2-5x-3;k=-1
x^3-x^2-5x-3=
Thanks for your help!
Click here to see answer by Alan3354(69443)

Question 1192456: Factor f(x) into linear factors given that k is a zero of f(x).
F(x)=4x^3-9x^2-58x+15;k=5
Thanks for your help!
Click here to see answer by Alan3354(69443)

Question 1192514: Can i please get help..
A surveyor knows that a lot has the shape of an isosceles triangle. If the vertex angle measures 80° and each equal side is 160 feet long, what measure (in degrees) does each of the base angles have?

we have an ISOSCELES TRIANGLE, but we are given the VERTEX ANGLE , which gives us the equation: BASE ANGLE + VERTEX ANGLE+ SECOND BASE ANGLE = 180. If you make both base angles a variable and the vertex angle 80 , you will find the value of 'x' ,which is a base angle.
Click here to see answer by ikleyn(52781)

Question 1192513: Can i get help with a question please...
Because of construction along the road from A to B, Alinna drives 8 miles from A to C and then 15 miles from C to B.
How much farther (in miles) did Alinna travel by using the alternative route from A to B?
The Pythagorean theorem will be needed in this problem. Once you use the Pythagorean theorem , you will get the length of AB, but this question goes a little further, it wants the DIFFERENCE of AB from the SUM of AC and CB

Click here to see answer by ikleyn(52781)

Question 1192525: Eq. 1 - 2x + 3y = -7
Eq. 2 x = - 3y + 17
Click here to see answer by MathLover1(20849)

Question 1192530: Find the polynomial of lowest degree having leading coefficient 1, real coefficients with a zero of 4 (multiplicity 2), and zero 4-5i.
P(x)=
(simplify)
thank you for your help!

Click here to see answer by josgarithmetic(39617)

Question 1192529: Find a polynomial function P(x) having leading coefficient 1, least possible degree, real coefficients, and the given zeros.
-9 and 7
p(X)=
(simplify)
thank you!
Click here to see answer by josgarithmetic(39617)

Question 1192528: For the polynomial, P(x)=x^3-10x^2+48x-64, 2 is one of the zeros. Find all remaining zeros.
(Simplify your answer. Type your answer in the form a+bi. Use a comma to separate answers as needed.)
Click here to see answer by josgarithmetic(39617)

Question 1192527: For the following, find the function P defined by a polynomial of degree 3 with real coefficients that satisfy the given conditions.
The zeros are -3,-1, and 4.
p(-2)=18
p(x)=
(simplify)
thanks!

Click here to see answer by josgarithmetic(39617)

Question 1192526: Find a cubic polynomial in standard form with real coefficients, having the zeros 1 and 7i. Let the leading coefficient be 1.
p(x)=
(Use integers for any numbers in the expression.)
thank you!
Click here to see answer by josgarithmetic(39617)

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