Algebra ->  Tutoring on algebra.com -> See tutors' answers!      Log On

 Tutoring Home For Students Tools for Tutors Our Tutors Register Recently Solved
 By Tutor
| By Problem Number |

Tutor:

# Recent problems solved by 'jim_thompson5910'

Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 4740..4769 , 4770..4799 , 4800..4829 , 4830..4859 , 4860..4889 , 4890..4919 , 4920..4949 , 4950..4979 , 4980..5009 , 5010..5039 , 5040..5069 , 5070..5099 , 5100..5129 , 5130..5159 , 5160..5189 , 5190..5219 , 5220..5249 , 5250..5279 , 5280..5309 , 5310..5339 , 5340..5369 , 5370..5399 , 5400..5429 , 5430..5459 , 5460..5489 , 5490..5519 , 5520..5549 , 5550..5579 , 5580..5609 , 5610..5639 , 5640..5669 , 5670..5699 , 5700..5729 , 5730..5759 , 5760..5789 , 5790..5819 , 5820..5849 , 5850..5879 , 5880..5909 , 5910..5939 , 5940..5969 , 5970..5999 , 6000..6029 , 6030..6059 , 6060..6089 , 6090..6119 , 6120..6149 , 6150..6179 , 6180..6209 , 6210..6239 , 6240..6269 , 6270..6299 , 6300..6329 , 6330..6359 , 6360..6389 , 6390..6419 , 6420..6449 , 6450..6479 , 6480..6509 , 6510..6539 , 6540..6569 , 6570..6599 , 6600..6629 , 6630..6659 , 6660..6689 , 6690..6719 , 6720..6749 , 6750..6779 , 6780..6809 , 6810..6839 , 6840..6869 , 6870..6899 , 6900..6929 , 6930..6959 , 6960..6989 , 6990..7019 , 7020..7049 , 7050..7079 , 7080..7109 , 7110..7139 , 7140..7169 , 7170..7199 , 7200..7229 , 7230..7259 , 7260..7289 , 7290..7319 , 7320..7349 , 7350..7379 , 7380..7409 , 7410..7439 , 7440..7469 , 7470..7499 , 7500..7529 , 7530..7559 , 7560..7589 , 7590..7619 , 7620..7649 , 7650..7679 , 7680..7709 , 7710..7739 , 7740..7769 , 7770..7799 , 7800..7829 , 7830..7859 , 7860..7889 , 7890..7919 , 7920..7949 , 7950..7979 , 7980..8009 , 8010..8039 , 8040..8069 , 8070..8099 , 8100..8129 , 8130..8159 , 8160..8189 , 8190..8219 , 8220..8249 , 8250..8279 , 8280..8309 , 8310..8339 , 8340..8369 , 8370..8399 , 8400..8429 , 8430..8459 , 8460..8489 , 8490..8519 , 8520..8549 , 8550..8579 , 8580..8609 , 8610..8639 , 8640..8669 , 8670..8699 , 8700..8729 , 8730..8759 , 8760..8789 , 8790..8819 , 8820..8849 , 8850..8879 , 8880..8909 , 8910..8939 , 8940..8969 , 8970..8999 , 9000..9029 , 9030..9059 , 9060..9089 , 9090..9119 , 9120..9149 , 9150..9179 , 9180..9209 , 9210..9239 , 9240..9269 , 9270..9299 , 9300..9329 , 9330..9359 , 9360..9389 , 9390..9419 , 9420..9449 , 9450..9479 , 9480..9509 , 9510..9539 , 9540..9569 , 9570..9599 , 9600..9629 , 9630..9659 , 9660..9689 , 9690..9719 , 9720..9749 , 9750..9779 , 9780..9809 , 9810..9839 , 9840..9869 , 9870..9899 , 9900..9929 , 9930..9959 , 9960..9989 , 9990..10019 , 10020..10049 , 10050..10079 , 10080..10109 , 10110..10139 , 10140..10169 , 10170..10199 , 10200..10229 , 10230..10259 , 10260..10289 , 10290..10319 , 10320..10349 , 10350..10379 , 10380..10409 , 10410..10439 , 10440..10469 , 10470..10499 , 10500..10529 , 10530..10559 , 10560..10589 , 10590..10619 , 10620..10649 , 10650..10679 , 10680..10709 , 10710..10739 , 10740..10769 , 10770..10799 , 10800..10829 , 10830..10859 , 10860..10889 , 10890..10919 , 10920..10949 , 10950..10979 , 10980..11009 , 11010..11039 , 11040..11069 , 11070..11099 , 11100..11129 , 11130..11159 , 11160..11189 , 11190..11219 , 11220..11249 , 11250..11279 , 11280..11309 , 11310..11339 , 11340..11369 , 11370..11399 , 11400..11429 , 11430..11459 , 11460..11489 , 11490..11519 , 11520..11549 , 11550..11579 , 11580..11609 , 11610..11639 , 11640..11669 , 11670..11699 , 11700..11729 , 11730..11759 , 11760..11789 , 11790..11819 , 11820..11849 , 11850..11879 , 11880..11909 , 11910..11939 , 11940..11969 , 11970..11999 , 12000..12029 , 12030..12059 , 12060..12089 , 12090..12119 , 12120..12149 , 12150..12179 , 12180..12209 , 12210..12239 , 12240..12269 , 12270..12299 , 12300..12329 , 12330..12359 , 12360..12389 , 12390..12419 , 12420..12449 , 12450..12479 , 12480..12509 , 12510..12539 , 12540..12569 , 12570..12599 , 12600..12629 , 12630..12659 , 12660..12689 , 12690..12719 , 12720..12749 , 12750..12779 , 12780..12809 , 12810..12839 , 12840..12869 , 12870..12899 , 12900..12929 , 12930..12959 , 12960..12989 , 12990..13019 , 13020..13049 , 13050..13079 , 13080..13109 , 13110..13139 , 13140..13169 , 13170..13199 , 13200..13229 , 13230..13259 , 13260..13289 , 13290..13319 , 13320..13349 , 13350..13379 , 13380..13409 , 13410..13439 , 13440..13469 , 13470..13499 , 13500..13529 , 13530..13559 , 13560..13589 , 13590..13619 , 13620..13649 , 13650..13679 , 13680..13709 , 13710..13739 , 13740..13769 , 13770..13799 , 13800..13829 , 13830..13859 , 13860..13889 , 13890..13919 , 13920..13949 , 13950..13979 , 13980..14009 , 14010..14039 , 14040..14069 , 14070..14099 , 14100..14129 , 14130..14159 , 14160..14189 , 14190..14219 , 14220..14249 , 14250..14279 , 14280..14309 , 14310..14339 , 14340..14369 , 14370..14399 , 14400..14429 , 14430..14459 , 14460..14489 , 14490..14519 , 14520..14549 , 14550..14579 , 14580..14609 , 14610..14639 , 14640..14669 , 14670..14699 , 14700..14729 , 14730..14759 , 14760..14789 , 14790..14819 , 14820..14849 , 14850..14879 , 14880..14909 , 14910..14939 , 14940..14969 , 14970..14999 , 15000..15029 , 15030..15059 , 15060..15089 , 15090..15119 , 15120..15149 , 15150..15179 , 15180..15209 , 15210..15239 , 15240..15269 , 15270..15299 , 15300..15329 , 15330..15359 , 15360..15389 , 15390..15419 , 15420..15449 , 15450..15479 , 15480..15509 , 15510..15539 , 15540..15569 , 15570..15599 , 15600..15629 , 15630..15659 , 15660..15689 , 15690..15719 , 15720..15749 , 15750..15779 , 15780..15809 , 15810..15839 , 15840..15869 , 15870..15899 , 15900..15929 , 15930..15959 , 15960..15989 , 15990..16019 , 16020..16049 , 16050..16079 , 16080..16109 , 16110..16139 , 16140..16169 , 16170..16199 , 16200..16229 , 16230..16259 , 16260..16289 , 16290..16319 , 16320..16349 , 16350..16379 , 16380..16409 , 16410..16439 , 16440..16469 , 16470..16499 , 16500..16529 , 16530..16559 , 16560..16589 , 16590..16619 , 16620..16649 , 16650..16679 , 16680..16709 , 16710..16739 , 16740..16769 , 16770..16799 , 16800..16829 , 16830..16859 , 16860..16889 , 16890..16919 , 16920..16949 , 16950..16979 , 16980..17009 , 17010..17039 , 17040..17069 , 17070..17099 , 17100..17129 , 17130..17159 , 17160..17189 , 17190..17219 , 17220..17249 , 17250..17279 , 17280..17309 , 17310..17339 , 17340..17369 , 17370..17399 , 17400..17429 , 17430..17459 , 17460..17489 , 17490..17519 , 17520..17549 , 17550..17579 , 17580..17609 , 17610..17639 , 17640..17669 , 17670..17699 , 17700..17729 , 17730..17759 , 17760..17789 , 17790..17819 , 17820..17849 , 17850..17879 , 17880..17909 , 17910..17939 , 17940..17969 , 17970..17999 , 18000..18029 , 18030..18059 , 18060..18089 , 18090..18119 , 18120..18149 , 18150..18179 , 18180..18209 , 18210..18239 , 18240..18269 , 18270..18299 , 18300..18329 , 18330..18359 , 18360..18389 , 18390..18419 , 18420..18449 , 18450..18479 , 18480..18509 , 18510..18539 , 18540..18569 , 18570..18599 , 18600..18629 , 18630..18659 , 18660..18689 , 18690..18719 , 18720..18749 , 18750..18779 , 18780..18809 , 18810..18839 , 18840..18869 , 18870..18899 , 18900..18929 , 18930..18959 , 18960..18989 , 18990..19019 , 19020..19049 , 19050..19079 , 19080..19109 , 19110..19139 , 19140..19169 , 19170..19199 , 19200..19229 , 19230..19259 , 19260..19289 , 19290..19319 , 19320..19349 , 19350..19379 , 19380..19409 , 19410..19439 , 19440..19469 , 19470..19499 , 19500..19529 , 19530..19559 , 19560..19589 , 19590..19619 , 19620..19649 , 19650..19679 , 19680..19709 , 19710..19739 , 19740..19769 , 19770..19799 , 19800..19829 , 19830..19859 , 19860..19889 , 19890..19919 , 19920..19949 , 19950..19979 , 19980..20009 , 20010..20039 , 20040..20069 , 20070..20099 , 20100..20129 , 20130..20159 , 20160..20189 , 20190..20219 , 20220..20249 , 20250..20279 , 20280..20309 , 20310..20339 , 20340..20369 , 20370..20399 , 20400..20429 , 20430..20459 , 20460..20489 , 20490..20519 , 20520..20549 , 20550..20579 , 20580..20609 , 20610..20639 , 20640..20669 , 20670..20699 , 20700..20729 , 20730..20759 , 20760..20789 , 20790..20819 , 20820..20849 , 20850..20879 , 20880..20909 , 20910..20939 , 20940..20969 , 20970..20999 , 21000..21029 , 21030..21059 , 21060..21089 , 21090..21119 , 21120..21149 , 21150..21179 , 21180..21209 , 21210..21239 , 21240..21269 , 21270..21299 , 21300..21329 , 21330..21359 , 21360..21389 , 21390..21419 , 21420..21449 , 21450..21479 , 21480..21509 , 21510..21539 , 21540..21569 , 21570..21599 , 21600..21629 , 21630..21659 , 21660..21689 , 21690..21719 , 21720..21749 , 21750..21779 , 21780..21809 , 21810..21839 , 21840..21869 , 21870..21899 , 21900..21929 , 21930..21959 , 21960..21989 , 21990..22019 , 22020..22049 , 22050..22079 , 22080..22109 , 22110..22139 , 22140..22169 , 22170..22199 , 22200..22229 , 22230..22259 , 22260..22289 , 22290..22319 , 22320..22349 , 22350..22379 , 22380..22409 , 22410..22439 , 22440..22469 , 22470..22499 , 22500..22529 , 22530..22559 , 22560..22589 , 22590..22619 , 22620..22649 , 22650..22679 , 22680..22709 , 22710..22739 , 22740..22769 , 22770..22799 , 22800..22829 , 22830..22859 , 22860..22889 , 22890..22919 , 22920..22949 , 22950..22979 , 22980..23009 , 23010..23039 , 23040..23069 , 23070..23099 , 23100..23129 , 23130..23159 , 23160..23189 , 23190..23219 , 23220..23249 , 23250..23279 , 23280..23309 , 23310..23339 , 23340..23369 , 23370..23399 , 23400..23429 , 23430..23459 , 23460..23489 , 23490..23519 , 23520..23549 , 23550..23579 , 23580..23609 , 23610..23639 , 23640..23669 , 23670..23699 , 23700..23729 , 23730..23759 , 23760..23789 , 23790..23819 , 23820..23849 , 23850..23879 , 23880..23909 , 23910..23939 , 23940..23969 , 23970..23999 , 24000..24029 , 24030..24059 , 24060..24089 , 24090..24119 , 24120..24149 , 24150..24179 , 24180..24209 , 24210..24239 , 24240..24269 , 24270..24299 , 24300..24329 , 24330..24359 , 24360..24389 , 24390..24419 , 24420..24449 , 24450..24479 , 24480..24509 , 24510..24539 , 24540..24569 , 24570..24599 , 24600..24629 , 24630..24659 , 24660..24689 , 24690..24719 , 24720..24749 , 24750..24779 , 24780..24809 , 24810..24839 , 24840..24869 , 24870..24899 , 24900..24929 , 24930..24959 , 24960..24989 , 24990..25019 , 25020..25049 , 25050..25079 , 25080..25109 , 25110..25139 , 25140..25169 , 25170..25199 , 25200..25229 , 25230..25259 , 25260..25289 , 25290..25319 , 25320..25349 , 25350..25379 , 25380..25409 , 25410..25439 , 25440..25469 , 25470..25499 , 25500..25529 , 25530..25559 , 25560..25589 , 25590..25619 , 25620..25649 , 25650..25679 , 25680..25709 , 25710..25739 , 25740..25769 , 25770..25799 , 25800..25829 , 25830..25859 , 25860..25889 , 25890..25919 , 25920..25949 , 25950..25979 , 25980..26009 , 26010..26039 , 26040..26069 , 26070..26099 , 26100..26129 , 26130..26159 , 26160..26189 , 26190..26219 , 26220..26249 , 26250..26279 , 26280..26309 , 26310..26339 , 26340..26369 , 26370..26399 , 26400..26429 , 26430..26459 , 26460..26489 , 26490..26519 , 26520..26549 , 26550..26579 , 26580..26609 , 26610..26639 , 26640..26669 , 26670..26699 , 26700..26729 , 26730..26759 , 26760..26789 , 26790..26819 , 26820..26849 , 26850..26879 , 26880..26909 , 26910..26939 , 26940..26969 , 26970..26999 , 27000..27029 , 27030..27059 , 27060..27089 , 27090..27119 , 27120..27149 , 27150..27179 , 27180..27209 , 27210..27239 , 27240..27269 , 27270..27299 , 27300..27329 , 27330..27359 , 27360..27389 , 27390..27419 , 27420..27449 , 27450..27479 , 27480..27509 , 27510..27539 , 27540..27569 , 27570..27599 , 27600..27629 , 27630..27659 , 27660..27689 , 27690..27719 , 27720..27749 , 27750..27779 , 27780..27809 , 27810..27839 , 27840..27869 , 27870..27899 , 27900..27929 , 27930..27959 , 27960..27989 , 27990..28019 , 28020..28049 , 28050..28079 , 28080..28109 , 28110..28139 , 28140..28169 , 28170..28199 , 28200..28229 , 28230..28259 , 28260..28289 , 28290..28319 , 28320..28349 , 28350..28379 , 28380..28409 , 28410..28439 , 28440..28469 , 28470..28499 , 28500..28529, >>Next

 Money_Word_Problems/195126: i have the first part of this question solved, i just need help with the second part. thank you. a company earns a weekly profit of P=-1.2x^2+180x-280, where x is the number of coffee tables they build and sell and P is profit in dollars. a. find the number of coffee tables the company must sell in a week in order to obtain max. profit. (i completed the work for this problem and got 75 coffee tables) b. what is the maximum profit? (i have the answer key and i tried plugging 75 coffee tables into the equation but i am getting an answer that seems to be way off) thank you for your help1 solutions Answer 146355 by jim_thompson5910(28536)   on 2009-05-06 16:15:26 (Show Source): You can put this solution on YOUR website!a) Correct. b) Start with the given equation. Plug in . Square to get . Multiply and to get . Multiply and to get . Combine like terms. So the max profit is \$6,470.
 Distributive-associative-commutative-properties/195123: This question is from textbook I need help with the factoring equation and step by step solution to 3y-21+xy-71 solutions Answer 146354 by jim_thompson5910(28536)   on 2009-05-06 16:11:54 (Show Source): You can put this solution on YOUR website!Are you sure that the equation isn't ?? Start with the given expression Group like terms Factor out the GCF out of the first group. Factor out the GCF out of the second group Since we have the common term , we can combine like terms So factors to
 Linear-systems/195096: This question is from textbook algebra 1 concepts and skills 3x-2y=11 -x+6y=7 (5,2)1 solutions Answer 146336 by jim_thompson5910(28536)   on 2009-05-06 13:37:28 (Show Source): You can put this solution on YOUR website! Let's see if and are solutions to the first equation. Start with the first equation. Plug in and . Multiply Combine like terms. Since the equation is true, this means that (5,2) is a solution to the first equation. Let's see if (5,2) is a solution to the second equation. Start with the second equation. Plug in and . Multiply Combine like terms. Since the equation is true, this means that (5,2) is also a solution to the second equation. Since all of the equations of the system are true, this means that (5,2) is a solution to the given system.
 Complex_Numbers/195104: Simplify quotient and write answer in a + bi form. 6 + 2i divided by 4-3i1 solutions Answer 146328 by jim_thompson5910(28536)   on 2009-05-06 12:58:59 (Show Source): You can put this solution on YOUR website! Start with the given expression. Multiply the fraction by . Combine the fractions. FOIL the numerator. FOIL the denominator. Multiply. Combine like terms. Break up the fraction. So . So the expression is now in standard form where and
Polynomials-and-rational-expressions/194980: I need help with this factoring problem if you could?????
4s^3+s^6-45=
1 solutions

Answer 146259 by jim_thompson5910(28536)   on 2009-05-05 19:40:36 (Show Source):
You can put this solution on YOUR website!

Rearrange the terms.

Looking at we can see that the first term is and the last term is where the coefficients are 1 and -45 respectively.

Now multiply the first coefficient 1 and the last coefficient -45 to get -45. Now what two numbers multiply to -45 and add to the middle coefficient 4? Let's list all of the factors of -45:

Factors of -45:
1,3,5,9,15,45

-1,-3,-5,-9,-15,-45 ...List the negative factors as well. This will allow us to find all possible combinations

These factors pair up and multiply to -45
(1)*(-45)
(3)*(-15)
(5)*(-9)
(-1)*(45)
(-3)*(15)
(-5)*(9)

note: remember, the product of a negative and a positive number is a negative number

Now which of these pairs add to 4? Lets make a table of all of the pairs of factors we multiplied and see which two numbers add to 4

First NumberSecond NumberSum
1-451+(-45)=-44
3-153+(-15)=-12
5-95+(-9)=-4
-145-1+45=44
-315-3+15=12
-59-5+9=4

From this list we can see that -5 and 9 add up to 4 and multiply to -45

Now looking at the expression , replace with (notice adds up to . So it is equivalent to )

Now let's factor by grouping:

Group like terms

Factor out the GCF of out of the first group. Factor out the GCF of out of the second group

Since we have a common term of , we can combine like terms

So factors to

So this also means that factors to (since is equivalent to )

------------------------------------------------------------

So completely factors to

 Polynomials-and-rational-expressions/194979: Hi, could you please help me with factoring? 4s^3+12s^2-64s-192= I am not sure what I am doing, but I am not coming up with the correct answer. Thanks1 solutions Answer 146258 by jim_thompson5910(28536)   on 2009-05-05 19:38:15 (Show Source): You can put this solution on YOUR website! Start with the given expression Factor out the GCF Group like terms Factor out the GCF out of the first group. Factor out the GCF out of the second group Since we have the common term , we can combine like terms Factor to get So completely factors to
 Trigonometry-basics/194974: How do you verify cos(A+B)+cos(A-B)=2cosAcosB1 solutions Answer 146251 by jim_thompson5910(28536)   on 2009-05-05 19:05:33 (Show Source): You can put this solution on YOUR website!I'd start with the left side and work my way to get it equal to the right side (if you go with the left side, do NOT change the right). Recall the identities: cos(A+B) = cos(A)cos(B)-sin(A)sin(B), and cos(A-B) = cos(A)cos(B)+sin(A)sin(B) -------------------------------------------------- cos(A+B)+cos(A-B)=2cos(A)cos(B) ... Start with the given equation. [cos(A)cos(B)-sin(A)sin(B)]+cos(A-B)=2cos(A)cos(B) ... Use the first identity given above [cos(A)cos(B)-sin(A)sin(B)]+[cos(A)cos(B)+sin(A)sin(B)]=2cos(A)cos(B) ... Use the second identity given above [cos(A)cos(B)+cos(A)cos(B)]+[-sin(A)sin(B)+sin(A)sin(B)]=2cos(A)cos(B) ... Rearrange the terms. 2cos(A)cos(B)+0=2cos(A)cos(B) ... Combine like terms. 2cos(A)cos(B)=2cos(A)cos(B) ... Simplify Since both sides are equal, we've verified the identity.
 Complex_Numbers/194943: please explain how to simplify... i to the 100th power1 solutions Answer 146249 by jim_thompson5910(28536)   on 2009-05-05 18:56:12 (Show Source): You can put this solution on YOUR website!Since , this means that or or or or etc... ---------------------------------- So for every increment of the exponent, the powers of "i" are: i, -1, -i, 1, i, etc... and this pattern repeats every 4 terms (notice how the 5th term is identical to the first term). This pattern can be generalized to the following: For (where "k" is a whole number), If the remainder of is 0, then . If the remainder of is 1, then . If the remainder of is 2, then . If the remainder of is 3, then . So out at the 100th term, since remainder 0, this means that
 Rational-functions/194964: What is The simplest form of [3^(1/2)*8^(1/3)]^21 solutions Answer 146245 by jim_thompson5910(28536)   on 2009-05-05 18:42:22 (Show Source): You can put this solution on YOUR website! ... Start with the given expression. ... Multiply the outer exponent by EVERY exponent in the parenthesis. ... Multiply ... Reduce ... Simplify ... Convert to radical notation. ... Take the cube root of 8 to get 2 ... Square 2 to get 4 ... Multiply So
 Equations/194965: x/4 + 11x/4 = x/201 solutions Answer 146243 by jim_thompson5910(28536)   on 2009-05-05 18:37:59 (Show Source): You can put this solution on YOUR website! Start with the given equation. Multiply EVERY term by the LCD to clear any fractions. Multiply. Combine like terms on the left side. Subtract from both sides. Combine like terms on the left side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the answer is
 Expressions-with-variables/194960: I NEED HELP TO LEARN HOW TO SIMPLIFY THIS EQUATION X SQUARED+8X+15 DIVIDED BY X SQUARED +5X+61 solutions Answer 146241 by jim_thompson5910(28536)   on 2009-05-05 18:35:48 (Show Source): You can put this solution on YOUR website!Please don't type in all uppercase. It's hard to read that way. Start with the given expression. Factor to get . Factor to get . Highlight the common terms. Cancel out the common terms. Simplify. So simplifies to . In other words, where or
 Polynomials-and-rational-expressions/194961: I NEED HELP TO LEARN HOW TO SIMPLIFY THIS EQUATION X SQUARED+8X+15 DIVIDED BY X SQUARED +5X+61 solutions Answer 146239 by jim_thompson5910(28536)   on 2009-05-05 18:35:09 (Show Source): You can put this solution on YOUR website!Please don't type in all uppercase. It's hard to read that way. Start with the given expression. Factor to get . Factor to get . Highlight the common terms. Cancel out the common terms. Simplify. So simplifies to . In other words, where or
 Inequalities/194918: This question is from textbook mathematics application and concepts can you please help me answer this question: -4k+1>-111 solutions Answer 146215 by jim_thompson5910(28536)   on 2009-05-05 15:36:16 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number. Reduce. ---------------------------------------------------------------------- Answer: So the answer is
 Exponential-and-logarithmic-functions/194916: Please help me with this problem: ln(4)-ln(x)=101 solutions Answer 146213 by jim_thompson5910(28536)   on 2009-05-05 15:35:20 (Show Source): You can put this solution on YOUR website! Start with the given equation Combine the logs using the identity Use the property ----> to rewrite the equation. Multiply both sides by "x" Divide both sides by So the solution is
 Quadratic_Equations/194753: Please Help. Use the discriminant to determine the number types of solutions of the quadratic equation t^2+8t+20=0.1 solutions Answer 146100 by jim_thompson5910(28536)   on 2009-05-04 19:44:20 (Show Source): You can put this solution on YOUR website! From we can see that , , and Start with the discriminant formula. Plug in , , and Square to get Multiply to get Subtract from to get Since the discriminant is less than zero, this means that there are two complex solutions. In other words, there are no real solutions.
 Exponential-and-logarithmic-functions/194745: Condense 6log2x-36 log 2 y1 solutions Answer 146094 by jim_thompson5910(28536)   on 2009-05-04 19:11:52 (Show Source): You can put this solution on YOUR website! Start with the given expression. Rewrite the logs using the identity Combine the logs using the identity So where every variable is positive.
 Travel_Word_Problems/194738: The rate of a jet is 400 mph in calm air. Traveling with the wind, the jet can fly 2100 miles in the same amount of time as it takes to fly 1900 miles against the wind. Find the rate of the wind. d=rt calm air = 400 mph distance with wind = 2100 miles distance against wind = 1900 miles 2100 = (400+w)*? 1900 = (400-w)*? I understand that we need to find w(rate of wind), but what's the time? The problem just states that it is the same.1 solutions Answer 146091 by jim_thompson5910(28536)   on 2009-05-04 18:49:13 (Show Source): You can put this solution on YOUR website!Since the times are the same, the time is simply "t" for both equations. So we have the equations Start with the first equation. Divide both sides by . Rearrange the equation ------------------------ Move onto the second equation Plug in Multiply both sides by . Rearrange the terms. Distribute. Subtract from both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. So the speed of the wind is 20 mph.
 Human-and-algebraic-language/194722: For what real number k does 3x2  k factor as 3(x  2)(x + 2)?1 solutions Answer 146090 by jim_thompson5910(28536)   on 2009-05-04 18:16:48 (Show Source): You can put this solution on YOUR website!Since we want to factor to , this means that we want Start with the given equation. FOIL Combine like terms. Distribute Subtract from both sides. Divide both sides by -1 to isolate "k". So the solution is which means that factors to
 Complex_Numbers/194674: This question is from textbook An Introduction to Abstract Algebra with Notes to the Future Teacher with the help of the quadratic formula, find all the complex roots of each of the polynomials given in exercise 1. iii) z^3 + i1 solutions Answer 146065 by jim_thompson5910(28536)   on 2009-05-04 15:57:40 (Show Source): You can put this solution on YOUR website!First, perform synthetic division on the polynomial using the test zero . Note: you can easily solve for "z" and find that one solution is i | 1 0 0 i | i -1 -i ----------- 1 i -1 0  Since the first three numbers in the third row are 1, i, and -1, this means that Now simply use the quadratic formula to solve for "z": Start with the quadratic formula Plug in , , and Square to get . Multiply Combine like terms. So the other two solutions are or =========================================================== Answer: So the 3 solutions are , , or
 Radicals/194682: This question is from textbook Florida Algebra 1 I need help with this problem: A rectangle is 7 times as long as it is wide. Its area is 1400cm^2. Find the dimensions of the rectangle in simplest radical form. I have been working on this problem for 30 minutes straight, and I can't find the way to work it out. I tried to use this equaion to solve the problem (length=7w): I didn't work. Please help me.1 solutions Answer 146059 by jim_thompson5910(28536)   on 2009-05-04 15:37:05 (Show Source): You can put this solution on YOUR website!I'm not sure how you got what you have, but I think you're confusing the area and perimeter formulas. Since "A rectangle is 7 times as long as it is wide", this means that . Also, because "Its area is 1400cm^2", we know that Recall, the area of a rectangle is Start with the area of a rectangle formula Plug in and Multiply Divide both sides by 7 Reduce Rearrange the equation Take the square root of both sides. Note: we're only considering the positive square root. Factor 200 to get 100*2 Break up the square root. Take the square root of 100 to get 10 Go back to the first equation Plug in Multiply So the length is cm and the width is cm
 Radicals/194619: Hi! What is radical 3x+1=51 solutions Answer 146007 by jim_thompson5910(28536)   on 2009-05-04 11:36:04 (Show Source): You can put this solution on YOUR website! Start with the given equation Square both sides Square 5 to get 25 Subtract from both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is
 Graphs/194499: Please help me solve I'm having trouble with graphing y=-2/3x-12 I know how to point them on the graph but I'm having trouble solving the equation to determine if the point's (-4, 10) are correct. no text book1 solutions Answer 145935 by jim_thompson5910(28536)   on 2009-05-03 19:30:31 (Show Source): You can put this solution on YOUR website! Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is Since this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis So we have one point Now since the slope is comprised of the "rise" over the "run" this means Also, because the slope is , this means: which shows us that the rise is -2 and the run is 3. This means that to go from point to point, we can go down 2 and over 3 So starting at , go down 2 units and to the right 3 units to get to the next point Now draw a line through these points to graph So this is the graph of through the points and