Tutor:

New! Get regular updates about newly solved problems via algebra.com's RSS system.

---

Recent problems solved by 'stanbon'

stanbon answered: 57214 problems
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 , 28530..28559 , 28560..28589 , 28590..28619 , 28620..28649 , 28650..28679 , 28680..28709 , 28710..28739 , 28740..28769 , 28770..28799 , 28800..28829 , 28830..28859 , 28860..28889 , 28890..28919 , 28920..28949 , 28950..28979 , 28980..29009 , 29010..29039 , 29040..29069 , 29070..29099 , 29100..29129 , 29130..29159 , 29160..29189 , 29190..29219 , 29220..29249 , 29250..29279 , 29280..29309 , 29310..29339 , 29340..29369 , 29370..29399 , 29400..29429 , 29430..29459 , 29460..29489 , 29490..29519 , 29520..29549 , 29550..29579 , 29580..29609 , 29610..29639 , 29640..29669 , 29670..29699 , 29700..29729 , 29730..29759 , 29760..29789 , 29790..29819 , 29820..29849 , 29850..29879 , 29880..29909 , 29910..29939 , 29940..29969 , 29970..29999 , 30000..30029 , 30030..30059 , 30060..30089 , 30090..30119 , 30120..30149 , 30150..30179 , 30180..30209 , 30210..30239 , 30240..30269 , 30270..30299 , 30300..30329 , 30330..30359 , 30360..30389 , 30390..30419 , 30420..30449 , 30450..30479 , 30480..30509 , 30510..30539 , 30540..30569 , 30570..30599 , 30600..30629 , 30630..30659 , 30660..30689 , 30690..30719 , 30720..30749 , 30750..30779 , 30780..30809 , 30810..30839 , 30840..30869 , 30870..30899 , 30900..30929 , 30930..30959 , 30960..30989 , 30990..31019 , 31020..31049 , 31050..31079 , 31080..31109 , 31110..31139 , 31140..31169 , 31170..31199 , 31200..31229 , 31230..31259 , 31260..31289 , 31290..31319 , 31320..31349 , 31350..31379 , 31380..31409 , 31410..31439 , 31440..31469 , 31470..31499 , 31500..31529 , 31530..31559 , 31560..31589 , 31590..31619 , 31620..31649 , 31650..31679 , 31680..31709 , 31710..31739 , 31740..31769 , 31770..31799 , 31800..31829 , 31830..31859 , 31860..31889 , 31890..31919 , 31920..31949 , 31950..31979 , 31980..32009 , 32010..32039 , 32040..32069 , 32070..32099 , 32100..32129 , 32130..32159 , 32160..32189 , 32190..32219 , 32220..32249 , 32250..32279 , 32280..32309 , 32310..32339 , 32340..32369 , 32370..32399 , 32400..32429 , 32430..32459 , 32460..32489 , 32490..32519 , 32520..32549 , 32550..32579 , 32580..32609 , 32610..32639 , 32640..32669 , 32670..32699 , 32700..32729 , 32730..32759 , 32760..32789 , 32790..32819 , 32820..32849 , 32850..32879 , 32880..32909 , 32910..32939 , 32940..32969 , 32970..32999 , 33000..33029 , 33030..33059 , 33060..33089 , 33090..33119 , 33120..33149 , 33150..33179 , 33180..33209 , 33210..33239 , 33240..33269 , 33270..33299 , 33300..33329 , 33330..33359 , 33360..33389 , 33390..33419 , 33420..33449 , 33450..33479 , 33480..33509 , 33510..33539 , 33540..33569 , 33570..33599 , 33600..33629 , 33630..33659 , 33660..33689 , 33690..33719 , 33720..33749 , 33750..33779 , 33780..33809 , 33810..33839 , 33840..33869 , 33870..33899 , 33900..33929 , 33930..33959 , 33960..33989 , 33990..34019 , 34020..34049 , 34050..34079 , 34080..34109 , 34110..34139 , 34140..34169 , 34170..34199 , 34200..34229 , 34230..34259 , 34260..34289 , 34290..34319 , 34320..34349 , 34350..34379 , 34380..34409 , 34410..34439 , 34440..34469 , 34470..34499 , 34500..34529 , 34530..34559 , 34560..34589 , 34590..34619 , 34620..34649 , 34650..34679 , 34680..34709 , 34710..34739 , 34740..34769 , 34770..34799 , 34800..34829 , 34830..34859 , 34860..34889 , 34890..34919 , 34920..34949 , 34950..34979 , 34980..35009 , 35010..35039 , 35040..35069 , 35070..35099 , 35100..35129 , 35130..35159 , 35160..35189 , 35190..35219 , 35220..35249 , 35250..35279 , 35280..35309 , 35310..35339 , 35340..35369 , 35370..35399 , 35400..35429 , 35430..35459 , 35460..35489 , 35490..35519 , 35520..35549 , 35550..35579 , 35580..35609 , 35610..35639 , 35640..35669 , 35670..35699 , 35700..35729 , 35730..35759 , 35760..35789 , 35790..35819 , 35820..35849 , 35850..35879 , 35880..35909 , 35910..35939 , 35940..35969 , 35970..35999 , 36000..36029 , 36030..36059 , 36060..36089 , 36090..36119 , 36120..36149 , 36150..36179 , 36180..36209 , 36210..36239 , 36240..36269 , 36270..36299 , 36300..36329 , 36330..36359 , 36360..36389 , 36390..36419 , 36420..36449 , 36450..36479 , 36480..36509 , 36510..36539 , 36540..36569 , 36570..36599 , 36600..36629 , 36630..36659 , 36660..36689 , 36690..36719 , 36720..36749 , 36750..36779 , 36780..36809 , 36810..36839 , 36840..36869 , 36870..36899 , 36900..36929 , 36930..36959 , 36960..36989 , 36990..37019 , 37020..37049 , 37050..37079 , 37080..37109 , 37110..37139 , 37140..37169 , 37170..37199 , 37200..37229 , 37230..37259 , 37260..37289 , 37290..37319 , 37320..37349 , 37350..37379 , 37380..37409 , 37410..37439 , 37440..37469 , 37470..37499 , 37500..37529 , 37530..37559 , 37560..37589 , 37590..37619 , 37620..37649 , 37650..37679 , 37680..37709 , 37710..37739 , 37740..37769 , 37770..37799 , 37800..37829 , 37830..37859 , 37860..37889 , 37890..37919 , 37920..37949 , 37950..37979 , 37980..38009 , 38010..38039 , 38040..38069 , 38070..38099 , 38100..38129 , 38130..38159 , 38160..38189 , 38190..38219 , 38220..38249 , 38250..38279 , 38280..38309 , 38310..38339 , 38340..38369 , 38370..38399 , 38400..38429 , 38430..38459 , 38460..38489 , 38490..38519 , 38520..38549 , 38550..38579 , 38580..38609 , 38610..38639 , 38640..38669 , 38670..38699 , 38700..38729 , 38730..38759 , 38760..38789 , 38790..38819 , 38820..38849 , 38850..38879 , 38880..38909 , 38910..38939 , 38940..38969 , 38970..38999 , 39000..39029 , 39030..39059 , 39060..39089 , 39090..39119 , 39120..39149 , 39150..39179 , 39180..39209 , 39210..39239 , 39240..39269 , 39270..39299 , 39300..39329 , 39330..39359 , 39360..39389 , 39390..39419 , 39420..39449 , 39450..39479 , 39480..39509 , 39510..39539 , 39540..39569 , 39570..39599 , 39600..39629 , 39630..39659 , 39660..39689 , 39690..39719 , 39720..39749 , 39750..39779 , 39780..39809 , 39810..39839 , 39840..39869 , 39870..39899 , 39900..39929 , 39930..39959 , 39960..39989 , 39990..40019 , 40020..40049 , 40050..40079 , 40080..40109 , 40110..40139 , 40140..40169 , 40170..40199 , 40200..40229 , 40230..40259 , 40260..40289 , 40290..40319 , 40320..40349 , 40350..40379 , 40380..40409 , 40410..40439 , 40440..40469 , 40470..40499 , 40500..40529 , 40530..40559 , 40560..40589 , 40590..40619 , 40620..40649 , 40650..40679 , 40680..40709 , 40710..40739 , 40740..40769 , 40770..40799 , 40800..40829 , 40830..40859 , 40860..40889 , 40890..40919 , 40920..40949 , 40950..40979 , 40980..41009 , 41010..41039 , 41040..41069 , 41070..41099 , 41100..41129 , 41130..41159 , 41160..41189 , 41190..41219 , 41220..41249 , 41250..41279 , 41280..41309 , 41310..41339 , 41340..41369 , 41370..41399 , 41400..41429 , 41430..41459 , 41460..41489 , 41490..41519 , 41520..41549 , 41550..41579 , 41580..41609 , 41610..41639 , 41640..41669 , 41670..41699 , 41700..41729 , 41730..41759 , 41760..41789 , 41790..41819 , 41820..41849 , 41850..41879 , 41880..41909 , 41910..41939 , 41940..41969 , 41970..41999 , 42000..42029 , 42030..42059 , 42060..42089 , 42090..42119 , 42120..42149 , 42150..42179 , 42180..42209 , 42210..42239 , 42240..42269 , 42270..42299 , 42300..42329 , 42330..42359 , 42360..42389 , 42390..42419 , 42420..42449 , 42450..42479 , 42480..42509 , 42510..42539 , 42540..42569 , 42570..42599 , 42600..42629 , 42630..42659 , 42660..42689 , 42690..42719 , 42720..42749 , 42750..42779 , 42780..42809 , 42810..42839 , 42840..42869 , 42870..42899 , 42900..42929 , 42930..42959 , 42960..42989 , 42990..43019 , 43020..43049 , 43050..43079 , 43080..43109 , 43110..43139 , 43140..43169 , 43170..43199 , 43200..43229 , 43230..43259 , 43260..43289 , 43290..43319 , 43320..43349 , 43350..43379 , 43380..43409 , 43410..43439 , 43440..43469 , 43470..43499 , 43500..43529 , 43530..43559 , 43560..43589 , 43590..43619 , 43620..43649 , 43650..43679 , 43680..43709 , 43710..43739 , 43740..43769 , 43770..43799 , 43800..43829 , 43830..43859 , 43860..43889 , 43890..43919 , 43920..43949 , 43950..43979 , 43980..44009 , 44010..44039 , 44040..44069 , 44070..44099 , 44100..44129 , 44130..44159 , 44160..44189 , 44190..44219 , 44220..44249 , 44250..44279 , 44280..44309 , 44310..44339 , 44340..44369 , 44370..44399 , 44400..44429 , 44430..44459 , 44460..44489 , 44490..44519 , 44520..44549 , 44550..44579 , 44580..44609 , 44610..44639 , 44640..44669 , 44670..44699 , 44700..44729 , 44730..44759 , 44760..44789 , 44790..44819 , 44820..44849 , 44850..44879 , 44880..44909 , 44910..44939 , 44940..44969 , 44970..44999 , 45000..45029 , 45030..45059 , 45060..45089 , 45090..45119 , 45120..45149 , 45150..45179 , 45180..45209 , 45210..45239 , 45240..45269 , 45270..45299 , 45300..45329 , 45330..45359 , 45360..45389 , 45390..45419 , 45420..45449 , 45450..45479 , 45480..45509 , 45510..45539 , 45540..45569 , 45570..45599 , 45600..45629 , 45630..45659 , 45660..45689 , 45690..45719 , 45720..45749 , 45750..45779 , 45780..45809 , 45810..45839 , 45840..45869 , 45870..45899 , 45900..45929 , 45930..45959 , 45960..45989 , 45990..46019 , 46020..46049 , 46050..46079 , 46080..46109 , 46110..46139 , 46140..46169 , 46170..46199 , 46200..46229 , 46230..46259 , 46260..46289 , 46290..46319 , 46320..46349 , 46350..46379 , 46380..46409 , 46410..46439 , 46440..46469 , 46470..46499 , 46500..46529 , 46530..46559 , 46560..46589 , 46590..46619 , 46620..46649 , 46650..46679 , 46680..46709 , 46710..46739 , 46740..46769 , 46770..46799 , 46800..46829 , 46830..46859 , 46860..46889 , 46890..46919 , 46920..46949 , 46950..46979 , 46980..47009 , 47010..47039 , 47040..47069 , 47070..47099 , 47100..47129 , 47130..47159 , 47160..47189 , 47190..47219 , 47220..47249 , 47250..47279 , 47280..47309 , 47310..47339 , 47340..47369 , 47370..47399 , 47400..47429 , 47430..47459 , 47460..47489 , 47490..47519 , 47520..47549 , 47550..47579 , 47580..47609 , 47610..47639 , 47640..47669 , 47670..47699 , 47700..47729 , 47730..47759 , 47760..47789 , 47790..47819 , 47820..47849 , 47850..47879 , 47880..47909 , 47910..47939 , 47940..47969 , 47970..47999 , 48000..48029 , 48030..48059 , 48060..48089 , 48090..48119 , 48120..48149 , 48150..48179 , 48180..48209 , 48210..48239 , 48240..48269 , 48270..48299 , 48300..48329 , 48330..48359 , 48360..48389 , 48390..48419 , 48420..48449 , 48450..48479 , 48480..48509 , 48510..48539 , 48540..48569 , 48570..48599 , 48600..48629 , 48630..48659 , 48660..48689 , 48690..48719 , 48720..48749 , 48750..48779 , 48780..48809 , 48810..48839 , 48840..48869 , 48870..48899 , 48900..48929 , 48930..48959 , 48960..48989 , 48990..49019 , 49020..49049 , 49050..49079 , 49080..49109 , 49110..49139 , 49140..49169 , 49170..49199 , 49200..49229 , 49230..49259 , 49260..49289 , 49290..49319 , 49320..49349 , 49350..49379 , 49380..49409 , 49410..49439 , 49440..49469 , 49470..49499 , 49500..49529 , 49530..49559 , 49560..49589 , 49590..49619 , 49620..49649 , 49650..49679 , 49680..49709 , 49710..49739 , 49740..49769 , 49770..49799 , 49800..49829 , 49830..49859 , 49860..49889 , 49890..49919 , 49920..49949 , 49950..49979 , 49980..50009 , 50010..50039 , 50040..50069 , 50070..50099 , 50100..50129 , 50130..50159 , 50160..50189 , 50190..50219 , 50220..50249 , 50250..50279 , 50280..50309 , 50310..50339 , 50340..50369 , 50370..50399 , 50400..50429 , 50430..50459 , 50460..50489 , 50490..50519 , 50520..50549 , 50550..50579 , 50580..50609 , 50610..50639 , 50640..50669 , 50670..50699 , 50700..50729 , 50730..50759 , 50760..50789 , 50790..50819 , 50820..50849 , 50850..50879 , 50880..50909 , 50910..50939 , 50940..50969 , 50970..50999 , 51000..51029 , 51030..51059 , 51060..51089 , 51090..51119 , 51120..51149 , 51150..51179 , 51180..51209 , 51210..51239 , 51240..51269 , 51270..51299 , 51300..51329 , 51330..51359 , 51360..51389 , 51390..51419 , 51420..51449 , 51450..51479 , 51480..51509 , 51510..51539 , 51540..51569 , 51570..51599 , 51600..51629 , 51630..51659 , 51660..51689 , 51690..51719 , 51720..51749 , 51750..51779 , 51780..51809 , 51810..51839 , 51840..51869 , 51870..51899 , 51900..51929 , 51930..51959 , 51960..51989 , 51990..52019 , 52020..52049 , 52050..52079 , 52080..52109 , 52110..52139 , 52140..52169 , 52170..52199 , 52200..52229 , 52230..52259 , 52260..52289 , 52290..52319 , 52320..52349 , 52350..52379 , 52380..52409 , 52410..52439 , 52440..52469 , 52470..52499 , 52500..52529 , 52530..52559 , 52560..52589 , 52590..52619 , 52620..52649 , 52650..52679 , 52680..52709 , 52710..52739 , 52740..52769 , 52770..52799 , 52800..52829 , 52830..52859 , 52860..52889 , 52890..52919 , 52920..52949 , 52950..52979 , 52980..53009 , 53010..53039 , 53040..53069 , 53070..53099 , 53100..53129 , 53130..53159 , 53160..53189 , 53190..53219 , 53220..53249 , 53250..53279 , 53280..53309 , 53310..53339 , 53340..53369 , 53370..53399 , 53400..53429 , 53430..53459 , 53460..53489 , 53490..53519 , 53520..53549 , 53550..53579 , 53580..53609 , 53610..53639 , 53640..53669 , 53670..53699 , 53700..53729 , 53730..53759 , 53760..53789 , 53790..53819 , 53820..53849 , 53850..53879 , 53880..53909 , 53910..53939 , 53940..53969 , 53970..53999 , 54000..54029 , 54030..54059 , 54060..54089 , 54090..54119 , 54120..54149 , 54150..54179 , 54180..54209 , 54210..54239 , 54240..54269 , 54270..54299 , 54300..54329 , 54330..54359 , 54360..54389 , 54390..54419 , 54420..54449 , 54450..54479 , 54480..54509 , 54510..54539 , 54540..54569 , 54570..54599 , 54600..54629 , 54630..54659 , 54660..54689 , 54690..54719 , 54720..54749 , 54750..54779 , 54780..54809 , 54810..54839 , 54840..54869 , 54870..54899 , 54900..54929 , 54930..54959 , 54960..54989 , 54990..55019 , 55020..55049 , 55050..55079 , 55080..55109 , 55110..55139 , 55140..55169 , 55170..55199 , 55200..55229 , 55230..55259 , 55260..55289 , 55290..55319 , 55320..55349 , 55350..55379 , 55380..55409 , 55410..55439 , 55440..55469 , 55470..55499 , 55500..55529 , 55530..55559 , 55560..55589 , 55590..55619 , 55620..55649 , 55650..55679 , 55680..55709 , 55710..55739 , 55740..55769 , 55770..55799 , 55800..55829 , 55830..55859 , 55860..55889 , 55890..55919 , 55920..55949 , 55950..55979 , 55980..56009 , 56010..56039 , 56040..56069 , 56070..56099 , 56100..56129 , 56130..56159 , 56160..56189 , 56190..56219 , 56220..56249 , 56250..56279 , 56280..56309 , 56310..56339 , 56340..56369 , 56370..56399 , 56400..56429 , 56430..56459 , 56460..56489 , 56490..56519 , 56520..56549 , 56550..56579 , 56580..56609 , 56610..56639 , 56640..56669 , 56670..56699 , 56700..56729 , 56730..56759 , 56760..56789 , 56790..56819 , 56820..56849 , 56850..56879 , 56880..56909 , 56910..56939 , 56940..56969 , 56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239, >>Next

Linear-equations/177537: a motor boat toook 3 hours to make a downstream trip with a 6 km/h current the return trip against the same current took 5 hours find the speed of the boat in still water. 1 solutions Answer 132562 by stanbon(57282)   on 2009-01-20 09:46:54 (Show Source): You can put this solution on YOUR website! a motor boat took 3 hours to make a downstream trip with a 6 km/h current the return trip against the same current took 5 hours find the speed of the boat in still water. -------------------- Downstream DATA: time = 3 hr. ; rate = b+6 km/h ; distance = rt = 3(b+6) km -------------------- Upstream DATA: time = 5 hr. ; rate = b-6 km/h ; distance = rt = 5(b-6) km -------------------- distance down = distance up 3(b+6) = 4(b-6) 3b+18 = 4b-24 b = 42 km/h (speed of the boat in still water) ===================================================== Cheers, Stan H.

Divisibility_and_Prime_Numbers/177540: Help please, I'm stuck. Find the LCM: 10fg and 6f^3 1 solutions Answer 132552 by stanbon(57282)   on 2009-01-20 07:58:03 (Show Source): You can put this solution on YOUR website! Find the LCM: 10fg and 6f^3 -------------------- Factors: 10fg = 2*5*f*g 6f^3 = 2*3*f^3 ------------------- The LCM must contain: 2,3,5,g^3 -------------- Ans: 2*3*5*g^3 = 30g^3 ============================= Cheers, Stan H.

Divisibility_and_Prime_Numbers/177542: find the LCM p^2 and p^2-1 thank you 1 solutions Answer 132551 by stanbon(57282)   on 2009-01-20 07:55:21 (Show Source): You can put this solution on YOUR website! find the LCM p^2 and p^2-1 ------------- The LCM is p^2*(p^2-1) -------------- Cheers, Stan H.

Divisibility_and_Prime_Numbers/177543: Find the LCM d^2, d^2-16, and d^2-8d+16 thank you. this is so confusing. 1 solutions Answer 132549 by stanbon(57282)   on 2009-01-20 07:53:45 (Show Source): You can put this solution on YOUR website! Find the LCM d^2, d^2-16, and d^2-8d+16 ------------------------------ To determine the LCM of a set on expressions: 1st: Factor the expressions d^2, (d-4)(d+4), (d-4)^2 Then 2nd: The LCM is the product of the various factors in their highest power ------------- So your LCM must have d^2; it must have (d+4); it must have (d-4)^2 -------------------- Ans: d^2*(d+4)*(d-4)^2 ============================== Cheers, Stan H.

Divisibility_and_Prime_Numbers/177544: Identify the fractions written in terms of the LCM of the denominations. 6/x, 5/x^2 these are my options: 6x/x^2, 5x/x^2 6x^2/x^3, 5x/x^3 6x/x^2, 5/x^2 6/x^2, 5x/x^2 thank you. 1 solutions Answer 132548 by stanbon(57282)   on 2009-01-20 07:48:53 (Show Source): You can put this solution on YOUR website! Identify the fractions written in terms of the LCM of the denominators. 6/x, 5/x^2 --------- The answer should be 6x/x^2, 5/x^2 since x^2 is the LCD. ========================= Cheers, Stan H.

Divisibility_and_Prime_Numbers/177545: Identify the fractions written in terms of the LCM of the denominators. 6/qr^2, 7/qr my choices: 6/qr^2/qr^2, 7r/qr^2 6q/qr^2, 7r/qr^2 6r/qr^2, 7r/qr^2 6qr/q^2r^3, 7qr^2/q^2r^3 thank you. 1 solutions Answer 132547 by stanbon(57282)   on 2009-01-20 07:46:09 (Show Source): You can put this solution on YOUR website! The answer should be 6/qr^2, 7r/qr^2 since qr^2 is the lcd. ============================ Cheers, Stan H.

logarithm/177517: This question is from textbook Precalculus graphs and models the problem is: log base of 2 times (x+20) minus log base of 2 times (x+2) is equal to log base of 2 x. this is how far i have gotten: log base of 2 times (x+20/x+2) is equal to log base of 2 x 1 solutions Answer 132534 by stanbon(57282)   on 2009-01-19 22:07:49 (Show Source): You can put this solution on YOUR website! log base of 2 times (x+20) minus log base of 2 times (x+2) is equal to log base of 2 x --------------------------------- log(base2)(x+20) - log(base2)(x+2) = log(base2)x --- It's all base 2 so just keep that in mind: log(x+20) - log(x+2) = log2 ------ since logA - logB = log(A/B) you get: log[(x+20)/(x+2)] = log2 Taking the inverse log you get: (x+20)/(x+2) = 2 x+20 = 2(x+2) x + 20 = 2x + 4 x = 16 ------------ Cheers, Stan H.

logarithm/177500: Solve for x in log form 4^2X-4^X-42=0 answer: log(base 4)7 = X 1 solutions Answer 132530 by stanbon(57282)   on 2009-01-19 20:28:41 (Show Source): You can put this solution on YOUR website! Solve for x in log form 4^2X-4^X-42=0 --------- Let 4^x = w --------- Substitute to get: w^2 - w - 42 = 0 (w-7)(w+6) = 0 w = 7 or w = -6 --------------------- Substitute to solve for "x": 4^x = 7 or 4^x = -6 No power of 4 can equal -6 so the only solution is that of 4^x=7 Takethe log of both sides to get: xlog(4) = log(7) x = log(7)/log(4) x = 1.4036775... ========================= Cheers, Stan H.

Equations/177501: How do I write an equation in slope-intercept? 1 solutions Answer 132529 by stanbon(57282)   on 2009-01-19 20:21:41 (Show Source): You can put this solution on YOUR website! How do I write an equation in slope-intercept? ---------- y = mx + b m is the slope b is the y-intercept ========================== Cheers, San H.

Probability-and-statistics/177396: A can contains 7 pink balls and 5 blue balls. FOUR balls are selected without replacement. What is the probability of 1) all pink or all blue 2) exactly 3 pink 3) at least 3 pink 4) exaclty 3 pink of 3 blue. I am studying "Adding Probabilites" and I just don't get it? 1 solutions Answer 132528 by stanbon(57282)   on 2009-01-19 20:17:30 (Show Source): You can put this solution on YOUR website! A can contains 7 pink balls and 5 blue balls. FOUR balls are selected without replacement. What is the probability of 1) P(all pink or all blue) = (7C4 + 5C4)/12C4 ---------------------------------------------------- 2) P(exactly 3 pink) = 7C3*5C1/12C4 --------------------------------------------------- 3) P(at least 3 pink) = P(3 pink) + P(4 pink) = [7C3*5C1]/12C4 + 5C4/12C4 ---------------------------------------------------- 4) P(exactly 3 pink or 3 blue) = P(3 pink) + P(3 blue) = 7C3*5C1/12C4 + 5C3*7C1/12C4 =================================== Cheers, Stan H.

Human-and-algebraic-language/177477: farmer frannie has a farm. and onthat arm, she has only ducks and pigs. she is taking inventory and writes down that she has a total of 20 animals. then she writes that those animals have a total of 64 legs. how many of each type of animal does she have? 1 solutions Answer 132516 by stanbon(57282)   on 2009-01-19 19:15:38 (Show Source): You can put this solution on YOUR website! farmer frannie has a farm. and onthat arm, she has only ducks and pigs. she is taking inventory and writes down that she has a total of 20 animals. then she writes that those animals have a total of 64 legs. how many of each type of animal does she have? ------------------------------- Item Equation: d + p = 20 Leg Equation.:2d +4p = 64 ------------------------------- Rearrange: 2d + 2p = 2*20 2d + 4p = 64 ----------------- Subtract the 1st from the 2nd to solve for "p": 2p = 24 p = 12 (# of pigs) -------------- Substitute to solve for "d": d + 12 = 20 d = 8 (# of ducks) ============================ Cheers, Stan H.

Radicals/177467: Simplify [√32x5y2] / [√ 2x3y3] THAT IS SQRT[32x5y2] DIVIDED BY SQRT[2x3y3] 1 solutions Answer 132513 by stanbon(57282)   on 2009-01-19 19:09:13 (Show Source): You can put this solution on YOUR website! Simplify [√32x5y2] / [√ 2x3y3] = sqrt[32x^5y^2/2x^3y^3] = sqrt[16x^2y/y^2] = (4x/y)sqrt(y) ======================= Cheers, Stan H.

Radicals/177468: Use rational exponents to write x^1/8*y^1/2*z^1/6 as a single radical expression. 1 solutions Answer 132511 by stanbon(57282)   on 2009-01-19 18:56:13 (Show Source): You can put this solution on YOUR website! Use rational exponents to write x^1/8*y^1/2*z^1/6 as a single radical expression. --------------------- The least common multiply of 8,2,and 6 is 24 Rewrite the problem with consistent denominators: ----------------- x^(3/24)*y(12/24)*z^(4/24) = 24th root of (x^3*y^12*z^4) ================================= Cheers, Stan H.

Surface-area/177466: Here it is again sorry solve for p thank you The surface area S of a right prism is given by S=2B+PH Where B is the area of the base P is the perimeter of the base and H is the hight of the the prism: The surface area S of a right prism is given by S=2B+PH Where B is the area of the base P is the perimeter of the base and H is the hight of the the prism slove for P 1 solutions Answer 132508 by stanbon(57282)   on 2009-01-19 18:50:50 (Show Source): You can put this solution on YOUR website! S=2B+PH PH = S - 2B P = (S-2B)/H ================ Cheers, Stan H.

Linear-equations/177464: Given the points (2, -5) and ( -1, 4). Find the Slope and Y-intercept? Find the equation of the line? Please Thank you 1 solutions Answer 132506 by stanbon(57282)   on 2009-01-19 18:48:59 (Show Source): You can put this solution on YOUR website! Given the points (2, -5) and ( -1, 4). Find the Slope and Y-intercept? slope = (4--5)/(-1-2) = 9/-3 = -3 ---- intercept: 4 = -3*-1 + b b = 1 ------- Find the equation of the line? y = -3x + 1 ================== Cheers, Stan H.

Miscellaneous_Word_Problems/177460: This question is from textbook What is the equation to solve this problem? The local fair sells tickets for both children and adults. The price of a child's ticket is 5$ and adult is 8$. 1050 people attended and the fair made $7,350. How many of each type of ticket were sold? 1 solutions Answer 132503 by stanbon(57282)   on 2009-01-19 18:44:34 (Show Source): You can put this solution on YOUR website! What is the equation to solve this problem? The local fair sells tickets for both children and adults. The price of a child's ticket is 5$ and adult is 8$. 1050 people attended and the fair made $7,350. How many of each type of ticket were sold? ----------------------- Quantity Equation: c + a = 1050 Value Equation...:5c +8a = 7350 --------------------------------- Rearrange the equations: 5c + 5a = 5*1050 5c + 8a = 7350 ----------------------- Subtract the 1st from the 2nd to solve for "a": 3a = 2100 a = 700 (# of adult tickets sold) -------------------- Substitute to solve for "c": c + 700 = 1050 c = 350 (# of child tickets sold) ====================================== Cheers, Stan H.

Surface-area/177463: The surface area S of a right prism is given by S=2B+PH Where B is the area of the base P is the perimeter of the base and H is the hight of the the prism 1 solutions Answer 132501 by stanbon(57282)   on 2009-01-19 18:34:15 (Show Source): You can put this solution on YOUR website! What is the question? Cheers, Stan H.

Quadratic_Equations/177462: This is one question with two parts For the following equation, state the value of the discriminant and then describe the nature of the solutions. 6x^2+4x-3=0 What is the value of the discriminant? Which one of the statements below is correct? a. The equation has one real solution. b. The equation has two imaginary solutions. c. The equation has two real solutions. please help thank you 1 solutions Answer 132500 by stanbon(57282)   on 2009-01-19 18:31:38 (Show Source): You can put this solution on YOUR website! For the following equation, state the value of the discriminant and then describe the nature of the solutions. 6x^2+4x-3=0 What is the value of the discriminant? b^2 - 4ac = 16 - 4*6*-3 = 16 + 72 = 88 -------------------------------- Which one of the statements below is correct? a. The equation has one real solution. b. The equation has two imaginary solutions. c. The equation has two real solutions. Ans: c ============================= Cheers, Stan H.

Quadratic_Equations/177456: This is one question with different parts, please help. Thank you Find the vertex, line of symmetry, the maximum or minimum value of the quadratic function f(x)=-2x^2+2x+3 What is the x-coordinate of the vertex? What is the y-coordinate of the vertex? What is the equation of the line of symmetry? The max/min of f(x) is? The value, f(1/2)=7/2 is a maximum or a minimum? 1 solutions Answer 132499 by stanbon(57282)   on 2009-01-19 18:27:49 (Show Source): You can put this solution on YOUR website! Find the vertex, line of symmetry, the maximum or minimum value of the quadratic function f(x)=-2x^2+2x+3 Complete the square to see the vertex form of the quadratic: -2x^2 + 2x + ? = y - 3 + ? -2(x^2 -x + (1/4)) = y - 3 - 2(1/4) -2(x-(1/2))^2 = y - 3.5 ------------------------- What is the x-coordinate of the vertex? x = 1/2 ----------------- What is the y-coordinate of the vertex? y = 3.5 --------------------------- What is the equation of the line of symmetry? x = 1/2 --------------------------------- f(x)=-2x^2+2x+3 --------------------- The max/min of f(x) is? Min or max occurs when x = -b/2a = -2/(2*-2) = 1/2 ---------------------------------------- The value, f(1/2)=7/2 is a maximum or a minimum? It is a max because the coefficient of x^2 is negative. =========================================================== Cheers, Stan H.

Linear-equations/177457: What is the skop of y=2x+5 1 solutions Answer 132496 by stanbon(57282)   on 2009-01-19 18:17:18 (Show Source): You can put this solution on YOUR website! What is the slope of y=2x+5 ------------ The slope is "2". ---------------------- Cheers, Stan H.

logarithm/177444: Hopefully I've submitted this in the right place to transform a logarithmic expression. Express log x 4/9 in terms of log x 3/2 I worked it out through guesswork as, -2 log x 3/2, but can anyone explain the answer and if this is correct. Thanks 1 solutions Answer 132486 by stanbon(57282)   on 2009-01-19 17:20:46 (Show Source): You can put this solution on YOUR website! Express log(base x) 4/9 in terms of log(base x) 3/2 ------------------- log(basex) 4/9 = log(basex) (2/3)^2 = log(basex) (3/2)^(-2) = -2log(basex) (3/2) =========================== Cheers, Stan H.

Exponents/177442: My daughter missed this class friday and has a final monday morning..can you please show how to get answer and correct answer? A 20g sample of a radioactive substance has a half life of 28 days. a. how much of the sample is left after one year? b. how many days will it take for the sample to reach 1 gram? Thank you for your help! 1 solutions Answer 132484 by stanbon(57282)   on 2009-01-19 17:14:52 (Show Source): You can put this solution on YOUR website! My daughter missed this class friday and has a final monday morning..can you please show how to get answer and correct answer? A 20g sample of a radioactive substance has a half life of 28 days. a. how much of the sample is left after one year? A(t) = Ao(1/2)^(t/n) where n is the half-life A(365) = 20(1/2)^(365/28) A(365) = 20(1/2)^(13.036) A(365) = 20*0.0001191 A(365) = 0.00238 grams ---------------------------- Let me know if you cannot follow the logic of this solution. ---------------------------------------------------------------- b. how many days will it take for the sample to reach 1 gram? 1 = 20(1/2)^(t/28) 1/20 = (1/2)^(t/28) Take the log of both sides to get: (t/28)log(1/2) = log(1/20) t/28 = log(1/20)/log(1/2) t/28 = 4.3219.. t = 28*4.3219 = 121.013 days ================================== Cheers, Stan H.

Quadratic_Equations/177410: Please help. Solve the following 15x^4-28x^2+5=0. I know that eventually I have to use the quadratic equation, but I am unsure of how to get the problem into a standard form to use. Thank you. 1 solutions Answer 132461 by stanbon(57282)   on 2009-01-19 15:23:55 (Show Source): You can put this solution on YOUR website! 15x^4-28x^2+5=0 --------- 15x^4 - 25x^2 - 3x^2 + 5 = 0 5x^2(3x^2 - 5) - (3x^2 - 5) = 0 (3x^2 - 5)(5x^2 - 1) = 0 x^2 = 5/3 or x^2 = 1/5 x = +/-sqrt(5/3) or x = +/-sqrt(1/5) ======================================== Cheers, Stan H.

Travel_Word_Problems/177422: It took Emily 25 min to ride her bike to the repair shop and 1h 15 min to walk back home. If she can ride her bike 8km/h faster than she can walk, how far is the repair shop from her house. 1 solutions Answer 132459 by stanbon(57282)   on 2009-01-19 15:18:24 (Show Source): You can put this solution on YOUR website! It took Emily 25 min to ride her bike to the repair shop and 1h 15 min to walk back home. If she can ride her bike 8km/h faster than she can walk, how far is the repair shop from her house. ---------------------- Riding DATA: time = 25/60 = 5/12 hr ; rate = (r+8)km/h ; distance = rt = (5/12)(r+8) km ------------------------------------ Walking DATA: time = 5/4 hr ; rate = r km/h ; distance = rt = (5/4)r km -------------------------------------- Equation: ride distance = walk distance (5/12)(r+8) = (5/4)r (1/12)(r+8) = (1/4)r r+8 = 3 2r = 8 r = 4 km/h --------------- walking distance = (5/4)r = (5/4)4 = 5 km ============================================ Cheers, Stan H.

Linear-equations/177423: I have worked this for two hours and I give up. I keep getting it wrong. Could somebody please help me today? Suppose the monthly cost of a long distance phone plan (in dollars) is a linear function of the total calling time(in minutes). When graphed, the function gives a line with a slope og 0.12. The monthly cost for 41 minutes is 18.73. What is the monthly cost for 48 minutes? 1 solutions Answer 132456 by stanbon(57282)   on 2009-01-19 15:10:55 (Show Source): You can put this solution on YOUR website! Suppose the monthly cost of a long distance phone plan (in dollars) is a linear function of the total calling time(in minutes). When graphed, the function gives a line with a slope og 0.12. The monthly cost for 41 minutes is 18.73. What is the monthly cost for 48 minutes? ---------------------------------- cost = slope*(minutes) = intercept slope = 0.12 and you have the pair (41,18.73) Substitute the pair into the equation to solve for the intercept value: 18.73 = 0.12*41 + intercept intercept = 18.73 - 4.92 intercept = 13.81 ---------------------- Equation: C(x) = 0.12x + 13.81 ======================== Cheers, Stan H.

Polynomials-and-rational-expressions/177417: **these problems has to be factored.... please help... i have been doing these problems for homework and these are my last four.*****they are due tomorrow. we had a week to do...614 problems....please help 612) 9x5 – 18x4 = 9x^4(x-2) 613) z4 – 16=(z^2+4)*(z^2+4)*(z-2)*(z+2) 614) x3 – 27=(x-3)*(x^2+3x+9) 615) Solve: 25x2 – 64 = 0 1 solutions Answer 132454 by stanbon(57282)   on 2009-01-19 15:04:37 (Show Source): You can put this solution on YOUR website! 612) 9x^5 – 18x^4 = 9x^4(x-2) 9x^4(x -1) = 9x^4(x-2) x-1 = x-2 -1 = -2 That is a contradiction. The problem has no solution ---------------------------------------- 613) z^4 – 16=(z^2+4)*(z^2+4)*(z-2)*(z+2) (z^2-4)(z^2+4) = (z^2+4)^2 * (z^2-4) 1 = (z^2+4) z^2 = -3 z = sqrt(3)i or z = -sqrt(3)i ---------------------------------------- 614) x^3 – 27=(x-3)*(x^2+3x+9) That is an identity and is true for all values of x ----------------------------- 615) Solve: 25x2 – 64 = 0 (5x-8)(5x+8) = 0 x = 8/5 or x = -8/5 ==================================== Cheers, Stan H.

Probability-and-statistics/177398: Two cards are drawn from a standard deck of 52 cards. What is the probability of 1) 2 spades 2) 2 spades or 2 red cards 3) 2 red cards or 2 jacks 4) 2 spades or 2 face cards 26 spades/52 ???? 13 red cards 4 jacks 12 face cards I get in when there is 1 card - how do I figure it out when there is 2? 1 solutions Answer 132451 by stanbon(57282)   on 2009-01-19 14:55:10 (Show Source): You can put this solution on YOUR website! Two cards are drawn from a standard deck of 52 cards. What is the probability of 1) P(2 spades) = 13C2/52C2 = 78/1326 = 0.0588235 ---------------------------------------------------------- 2) P(2 spades or 2 red cards) 0.0588.. + 26C2/52C2 = 0.3039... ---------------------------------------------------------- 3) P(2 red cards or 2 jacks) = [26C2 + 4C2]/52C2 ----------------------------------------------------------- 4) P2 spades or 2 face cards) = [13C2 + 16C2]/52C2 ------------------------------------------------------------- Cheers, stan H.

Probability-and-statistics/177400: Last one... 3 dice are tossed - what is probability a) only two 5s b) at least two 5s c)three 5s d) no 5s 1 five - 1 dice = 1/5 right? what's next? 1 solutions Answer 132447 by stanbon(57282)   on 2009-01-19 14:34:58 (Show Source): You can put this solution on YOUR website! 3 dice are tossed - what is probability a) only two 5s The probability of getting a 5 with one die is 1/6 P(two 5's on three dice) = 3C2(1/6)^2*(5/6) = 3*(7/6^3) = 0.097222... ------------------------------------ b) at least two 5s P(at least 2) = P(2 5's) + P(3 5's) = 0.097222 + 3C3((1/6)^3 = 1*(1/216) = 0.9768... ----------------------------------- c)three 5s P( 3 5's) = 1/6^3 = 1/216 = 0.0046296.. ----------------------- d) no 5s P( no 5's) = (5/6)^3 = 0.5787037.. ------------------------- 1 five - 1 dice = 1/6 But one five on 3 dice is not 1/5, it is 3C1(1/6)^1(5/6)^2 = 75/216 = 0.3472222 -------------------------------------- Cheers, Stan H.

Linear-equations/177328: The vertices of a triangle are P(-3,2), Q(-1,6) and R(4,1). Write an equation for the line containing each side. 1 solutions Answer 132388 by stanbon(57282)   on 2009-01-19 07:46:19 (Show Source): You can put this solution on YOUR website! The vertices of a triangle are P(-3,2), Q(-1,6) and R(4,1). Write an equation for the line containing each side. ------------------ Line PQ: slope = (6-2)/(-1--3) = 4/2 = 2 intercept: 2 = 2*-3 + b b = 8 Equation: y = 2x + 8 ============================== Line QR: slope = (1-6)/(4--1) = -5/5 = -1 intercept: 1 = -1*4 + b b = 5 Equation: y = -x+5 ======================= I'll leave equation of PR to you. Cheers, Stan H.

Polynomials-and-rational-expressions/177330: I need to factor these problems and can u please show the work. 6) 8x2 + 8x – 6 7) 12y3 + 28y2 + 8y 8) 9x3 – x 1 solutions Answer 132387 by stanbon(57282)   on 2009-01-19 07:40:50 (Show Source): You can put this solution on YOUR website! factor these problems and can u please show the work. 6) 8x2 + 8x – 6 8x^2 + 12x - 4x - 6 4x(x+3) - 2(x+3) (x+3)(4x-2) 2(x+3)(x-1) ================= 7) 12y3 + 28y2 + 8y 4y(3y^2 + 7y + 2) 4y(3y^2 + 6y + y + 2) 4y[3y(y+2) + (y+2)] 4y(y+2)(3y+1) ================== 8) 9x3 – x x(9x^2-1) x(3x-1)(3x+1) ================= Cheers, Stan H.

Trigonometry-basics/177300: This question is from textbook Find the exact values of the trigonometric functions for sin, cos, tan, csc, sec, and cot when Opposite side = a and Adjacent side = a. Find hypotenuse leg? 1 solutions Answer 132374 by stanbon(57282)   on 2009-01-18 21:13:12 (Show Source): You can put this solution on YOUR website! Find the exact values of the trigonometric functions for sin, cos, tan, csc, sec, and cot when Opposite side = a and Adjacent side = a. Find hypotenuse leg. ----- hyp = sqrt(a^2 + a^2) = sqrt(2a^2) = asqrt(2) =================== sin = opp/hyp = a/asqrt(2) = 1/sqrt(2) cos = adj/hyp = 1/sqrt(2) tan = opp/adj = a/a = 1 ---------------- csc, sec, and cot are the inverse of sin, cos, and tan ========================== Cheers, stan H..