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Question 1128329: If (√3 - 1) is a root of the equation 2x^2-2kx+4 = 0, then k equals...
A)2√3-1 B)√3-2 C)2√3 D)√3 E)√3-1
Click here to see answer by ikleyn(52781)

Question 1128440: At a sale on winter clothing. Cody bought two pairs of gloves and four hats for $43. Torry bought two pairs of gloves and two hats for $30. Find the prices of the hats and gloves.
Click here to see answer by ikleyn(52781)

Question 1128441: The length of Sally�s garden is 4 m greater than three times the width. The perimeter of her garden is 72 m. Find the dimensions of Sallys garden.
Click here to see answer by josgarithmetic(39617)

Question 1128450: f(x)=|2x-4|,g(x)=-x+4
Find an expression for y=(f*g)(x)
Click here to see answer by ikleyn(52781)

Question 1128224: If (sqrt 3 - 1) is a root of the equation 2x^2-2kx+4 = 0, then k equals...
Click here to see answer by MathTherapy(10552)

Question 1128486: f(x)={(0,4),(1,2),(2,0),(3,2),(4,4)},g(x)={(0,4),(1,3),(2,2),(3,1),(4,0)}
a) Find an expression for f(x)
b) Find an expression for g(x)
c) Find an expression for (f*g)(x)
Click here to see answer by greenestamps(13200)

Question 1128470: Find the value of x: 6x-6/x^3=7740
Click here to see answer by greenestamps(13200)

Question 1128504: 1.4m^2+10m-5=0
2.(y+3) (y-5) =2y-2
3.4m^2=(m+4) (2-m)... for all using completing the square method.... thank you..
Click here to see answer by MathLover1(20849)

Question 1128504: 1.4m^2+10m-5=0
2.(y+3) (y-5) =2y-2
3.4m^2=(m+4) (2-m)... for all using completing the square method.... thank you..
Click here to see answer by MathTherapy(10552)

Question 1128528: write an equation for a slope of 2 and the y-intercept of -1
Click here to see answer by Alan3354(69443)

Question 1128528: write an equation for a slope of 2 and the y-intercept of -1
Click here to see answer by Boreal(15235)

Question 1128528: write an equation for a slope of 2 and the y-intercept of -1
Click here to see answer by josgarithmetic(39617)

Question 1128518: A driver has something to do with his or her chance of getting into a fatal car crash. The bar graph shows the number of fatal vehicle crashes per 100 million miles driven for drivers of various age groups. For example, 25-year-old drivers are involved in 4.1 fatal crashes per 100 million miles driven. Thus, when a group of 25-year-old Americans have driven a total of 100 million miles, approximately 4 have been in accidents in which someone died. The number of fatal vehicle crashes per 100 million miles, f (x) for drivers of age x can be modeled by the following quadratic function.
f(x)=0.013x^2-1.19x+28.24
What age groups are expected to be involved in 8 fatal crashes per 100 million miles driven?
_______-year-olds
(Round to nearest whole number. Use a comma to separate answers as needed.)
ASAP Please and Thank you in advance!
Click here to see answer by Boreal(15235)

Question 1128551: Aquiles buys a 40" TV for $625 plus the sales tax rate, which is 9.75%. What is the total cost of what he paid after taxes? Round to two decimal places
Click here to see answer by addingup(3677)

Question 1128559: A driver has something to do with his or her chance of getting into a fatal car crash. The bar graph shows the number of fatal vehicle crashes per 100 million miles driven for drivers of various age groups. For example, 25-year-old drivers are involved in 4.1 fatal crashes per 100 million miles driven. Thus, when a group of 25-year-old Americans have driven a total of 100 million miles, approximately 4 have been in accidents in which someone died. The number of fatal vehicle crashes per 100 million miles, f (x) for drivers of age x can be modeled by the following quadratic function.

f(x)=0.013x^2-1.19x+28.24
What age groups are expected to be involved in 6 fatal crashes per 100 million miles driven?
_______-year-olds
(Round to nearest whole number. Use a comma to separate answers as needed.)

ASAP Please and Thank you in advance!

Click here to see answer by MathLover1(20849)

Question 1128620: Simplify
4^-2+2^-3
Click here to see answer by josgarithmetic(39617)

Question 1128638: If (x+y)^2=200 and (x-y)^2=100 what is the average of x and y?
Click here to see answer by ikleyn(52781)

Question 1128674: You have to buy two dozen eggs priced at $10, three breads (each bread is $5), and five bottles of juice (each bottle is $8). How much money you will need to take to store.
Let's E represent egg, B for bread, and J for a bottle of juce
1) What is the algebric expression?
2) solve the expression by plugging cost of each item to get total price.
3) How much do you need to take to store?
Click here to see answer by josmiceli(19441)

Question 1128766: Factor completely. Show work following and show the check by re-multiplication of the factors. If the polynomial is not factorable, write �prime.�

4𝑤3- 16𝑤2 - 20w
Click here to see answer by rothauserc(4718)

Question 1128784: 2+2
Click here to see answer by ikleyn(52781)

Question 1128784: 2+2
Click here to see answer by Alan3354(69443)

Question 1128768: Solve the equation by the method of factoring. Use the factoring technique discussed in Section 6.4 of our text, and solve following the methods discussed in Section 6.7.
14x^2+ x - 3
Click here to see answer by MathLover1(20849)

Question 1128798: The equation of the axis of symmetry of a parabola is given, along with the coordinates of a point on the parabola. Use this information to find the coordinates of another point on the parabola.
x=0; (9,4)
Click here to see answer by ikleyn(52781)

Question 1128803: Which expressions are equivalent to the expression below? There may be more than one correct answer.
2(5x+4)−3x+1
(i) 10x+8−3x+1
(ii)18x−3x+1
(iii)15x+1
(iv) 7x+9
Click here to see answer by josgarithmetic(39617)

Question 1128804: In instances where a number and variables are being multiplied, the number is called a coefficient.
What is the coefficient of the x2 term in the expression 5x−6x^2+2?

Click here to see answer by MathLover1(20849)

Question 1128805: In this formula, J= Cost of driving Jenna�s car in $/mile and g= Cost of gas in $/gallon.
J=g/22+0.146
Find the cost of driving Jenna�s car (J) when the price of gas is $3.23/gallon.
Round to the nearest cent.
I found this answer to be 0.29 cents per mile.
Find the cost of gas (g) when the cost of driving Jenna�s car is exactly $0.26/mile.
Round to the nearest cent. (I can't get this one right)
Click here to see answer by MathLover1(20849)

Question 1128821: use the slope and y intercept to sketch each graph. if necessary convert it to the slope intercept form first.
3x-2y=6
Click here to see answer by Boreal(15235)

Question 1128822: determine whether each pair of lines is parallel, perpendicular, or none.
y=3x-8,x+3y=7
Click here to see answer by Boreal(15235)

Question 1128818: write each equation in slope intercept form and identify the slope and y intercept.
y+3=5
Click here to see answer by josmiceli(19441)

Question 1128812: Line L goes through (2,3) and (-5,6)
Click here to see answer by Alan3354(69443)

Question 1128811: Line L has x intercept (2,0) and y intercept (0,4)
Click here to see answer by Alan3354(69443)

Question 1128811: Line L has x intercept (2,0) and y intercept (0,4)
Click here to see answer by josgarithmetic(39617)

Question 1128879: you are investigating getting a business card printed for your new game store. a local printing company charges $250 for the cardboard used and an hourly rate for labour of $40. if h is the number of hours of labour required to print the card, construct an equation for the cost of the card.C

Click here to see answer by josmiceli(19441)

Question 1128922: Solve for i.
9039.75=8000(1+i)^2
Click here to see answer by Alan3354(69443)

Question 1128918: each day sal prpares a large basket of self serve - tortila chips . On Monday , 40 adult partons and 15 child patrons ate 10.8 kg of chips . On tuesday , 35 adult patrons and 22 child patrons ate 12.29 kg of chips . write two equations that would be used ti solve the systme so that Sal would know whether adults or children eat more chips on average

Click here to see answer by josgarithmetic(39617)

Question 1128934: 8x-27-10-6x=15
Click here to see answer by Boreal(15235)

Question 1129063: Identify whether the given ordered pair is a solution of the indicated equation.(5, -6) ; 5y + 6x = - 30
Click here to see answer by MathLover1(20849)

Question 1129067: Factor the polynomial function f(x). Then solve the equation f(x)=0.
F(x)=x^3+4x^2+x-6
Click here to see answer by Boreal(15235)

Question 1129067: Factor the polynomial function f(x). Then solve the equation f(x)=0.
F(x)=x^3+4x^2+x-6
Click here to see answer by Alan3354(69443)

Question 1129085: Eleven subtracted from the quotient of a number and five is -13
Click here to see answer by MathLover1(20849)

Question 1129034: One way to think about how much a pizza costs you is how much it costs per bite. You can calculate an approximate cost per bite (B), of a pizza, using the following formula:
B= 2c/πd^2
Where d is the diameter of the pizza and c is the cost of the whole pizza. Using this formula, what would be the approximate cost per bite of pizza for a 14-inch pizza that cost $11.99?
A)$0.06
B)$0.10
C)$0.55
D)$0.60
E)$0.04
Thanks!!
Click here to see answer by josmiceli(19441)

Question 1129059: Use synthetic division to find the function values.
F(x)=x^4-16; find f(2), f(-2), f(3), and f(1-sqrt2)
Click here to see answer by stanbon(75887)

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