New!
Get regular updates about newly solved problems
via algebra.com's RSS system.
Recent problems solved by 'stanbon'
stanbon answered: 57141 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, >>NextProbability-and-statistics/727550: I am a 12th grade statistics student I am having a hard time understanding my teacher. I was given a work sheet with the following question. a formula but no real instructions. The question is Assume that phone operators give out the correct number 75% of the time. What is the probability of getting 5 correct numbers, if you call the operators 8 times? Can you please help me with instructions on setting the formula up and maybe a simpler way for me to grasp the subject. Thank you Fatimah Sabb
1 solutions
Answer 445111 by stanbon(57209)   on 2013-03-18 13:20:28 (Show Source):
You can put this solution on YOUR website!The question is Assume that phone operators give out the correct number 75% of the time. What is the probability of getting 5 correct numbers, if you call the operators 8 times? Can you please help me with instructions on setting the formula up and maybe a simpler way for me to grasp the subject.
----
# of ways to get 5 correct in 8 calls: 8C5 = (8*7*6)/(1*2*3) = 56
----
Note: each of those 56 patters of 5 correct and 3 incorrect has
probability 0.75*5*0.25^3 = 0.2373*0.0156 = 0.0037
----
Since each of the 56 correct/incorrect patterns are mutually exclusive
you have to add their probabilities to get:
----
P(5 correct in 8 calls) = 56*0.0037 = 0.2976
-------
Note: I've shown you all the pieces. the answer is
usually written as follows:
p(x = 5 out of 8) = 8C5*(0.75)^5*(0.25)^3
=============================================
Cheers,
Stan H.
|
Age_Word_Problems/727298: When I add 3 times my age 3 years from now to 4 times my age 4 years from now, I get 8 times my current age. How old will I be 2 years from now
1 solutions
Answer 445058 by stanbon(57209) on 2013-03-17 22:47:43 (Show Source):
You can put this solution on YOUR website!When I add 3 times my age 3 years from now to 4 times my age 4 years from now, I get 8 times my current age. How old will I be 2 years from now
-----
Let your age be "x".
Equation:
3(x+3) + 4(x+4) = 8x
3x+9 + 4x+16 = 8x
x = 25
----
x+2 = 27 yrs (your age in 2 years)
=============================
Cheers,
Stan H.
=============================
|
Miscellaneous_Word_Problems/727309: Hello I have tried to solve this using the 2x2x2 method. I don't believe I'm on the right track. Please give me a similar problem so that I make work the one stated below. Thank you in advance!
Here is the word problem:
"A pizza parlor offers green peppers, mushrooms, sausage and tomatoes as toppings for the plain cheese base. How many different types of pizza's can be made?
1 solutions
Answer 445057 by stanbon(57209) on 2013-03-17 22:44:04 (Show Source):
You can put this solution on YOUR website!A pizza parlor offers green peppers, mushrooms, sausage and tomatoes as toppings for the plain cheese base. How many different types of pizza's can be made?
-----
Each of the toppings is either included or not included in the final product.
---
# of pizzas = 2^4 = 16
==========================
Cheers,
Stan H.
|
Triangles/727313: a triangle has two angles with a measure of 60 degrees and one side with a length of 12. What is the perimeter of the triangle?
1 solutions
Answer 445055 by stanbon(57209) on 2013-03-17 22:38:57 (Show Source):
You can put this solution on YOUR website!a triangle has two angles with a measure of 60 degrees and one side with a length of 12. What is the perimeter of the triangle?
----
The 3rd angle must be 60 degrees also.
The triangle is equilateral.
Perimeter = 3*12 = 36
==========================
Cheers,
Stan H.
=============
|
Linear_Equations_And_Systems_Word_Problems/727310: A bobcat population is classified by age into kittens (less than 1 year old) and adults (at least 1 year old). All adult females, including those born the prior year, have a litter each June, with an average litter size of 3 kittens. The springtime population of bobcats in a certain area is estimated to be 5,400, and the male-female ratio is one. Estimate the number of adults and kittens in the population.
adults ________
kittens ________
1 solutions
Answer 445054 by stanbon(57209) on 2013-03-17 22:36:26 (Show Source):
You can put this solution on YOUR website!The springtime population of bobcats in a certain area is estimated to be 5,400, and the male-female ratio is one. Estimate the number of adults and kittens in the population.
----
Let # of males be x
Then # of females is x
And # of kittens is 3x
----
x + x + 3x = 5400
5x = 5400
x = 1080
---
# of adults = 2x = 2160
# of kittens = 3x = 3240
-------------------
Cheers,
Stan H.
===================
---
|
test/727305: The temperature has been as high as 89 and low as 43. Find values for a and b so that the solution to |x-a|_< b expresses the temperatures in terms of x. (The phone won't allow me to input less than or equal to, but that's what comes after the absolute value.
1 solutions
Answer 445051 by stanbon(57209) on 2013-03-17 22:22:26 (Show Source):
You can put this solution on YOUR website!The temperature has been as high as 89 and low as 43. Find values for a and b so that the solution to |x-a|_< b expresses the temperatures in terms of x.
-------------------------
Find the midpoint of the interval.
(89+43)/2 = 66
----
Find the distance to an endpoint.
89-66 = 23
-----
|x-66| <= 23
=================
Ans: a = 66 ; b = 23
==================
Cheers,
Stan H.
===============
|
Probability-and-statistics/727012: How many 5-letter words containing at least one “a” can be made out of 26 letters?
1 solutions
Answer 444977 by stanbon(57209) on 2013-03-17 16:04:27 (Show Source):
You can put this solution on YOUR website!How many 5-letter words containing at least one “a” can be made out of 26 letters?
-----
# of ways to get no "a": 25^5
# of ways to get a random 5-letter word: 26^5
-------
# with at least one "a": 26^5 - 25^5 = 2,115,751
----------------
Cheers,
Stan H.
------
|
Probability-and-statistics/727138: A bag contains 5 red marbles, 10 blue marbles, and 20 green marbles.
If two marbles are taken out at random, one by one, without replacement, what is the probability that they are both blue?
I know the total is 35 marbles but I am unsure how to calculate. I attempted to do 10/35, 9/34 and so forth and added all the results together but I fear it is not correct.
1 solutions
Answer 444975 by stanbon(57209) on 2013-03-17 15:57:17 (Show Source):
You can put this solution on YOUR website! A bag contains 5 red marbles, 10 blue marbles, and 20 green marbles.
If two marbles are taken out at random, one by one, without replacement, what is the probability that they are both blue?
I know the total is 35 marbles but I am unsure how to calculate. I attempted to do 10/35, 9/34 and so forth and added all the results together but I fear it is not correct.
----
# of ways to pick 2 blue: 10C2 = 45
# of ways to pick a random pair: 35C2 = 595
----
P(2 blue without replacement) = 45/595 = 9/119
------------------
Cheers,
Stan H.
==================
|
Mixture_Word_Problems/727133: How many grams of lidocaine total are in 200 mL of 2% lidocaine solution added to 300 mL of 3% lidocaine solution
1 solutions
Answer 444970 by stanbon(57209) on 2013-03-17 15:45:59 (Show Source):
You can put this solution on YOUR website!How many grams of lidocaine total are in 200 mL of 2% lidocaine
solution added to 300 mL of 3% lidocaine solution
----
lido = 0.02*200 + 0.03*300 = 4 + 9 = 13 mL of lido
------------
Cheers,
Stan H.
============
|
Radicals/727132: Please help I dont really understand. -3√5-√6-√5
1 solutions
Answer 444968 by stanbon(57209) on 2013-03-17 15:43:20 (Show Source):
You can put this solution on YOUR website!Please help I dont really understand. -3√5-√6-√5
----
You can only add/subtract "like" terms.
----
-3sqrt(5) - sqrt(6) -sqrt(5)
----
= -4sqrt(5)-sqrt(6)
=====================
Cheers,
Stan H.
============
|
Mixture_Word_Problems/727128: How many liters of a 10% solution of acid should be mixed with 60% solution of acid to obtain 20 liters of 50% solution?
I need to solve this using systems of Equations, but I have no idea how to set it up. I have so far stated that x = 10% solution and that y = 60% solution
1 solutions
Answer 444967 by stanbon(57209) on 2013-03-17 15:41:17 (Show Source):
You can put this solution on YOUR website!How many liters of a 10% solution of acid should be mixed with 60% solution of acid to obtain 20 liters of 50% solution?
----
Quantity Eq: t + s = 20 liters
Acid Eq:: 10t+60s = 50*20
-------
Modify:
6t + 6s = 6*20
t + 6s = 5*20
-----
5t = 1*20
t = 4 liters (amt. of 10% solution needed)
==============
Cheers,
Stan H.
|
Mixture_Word_Problems/727123:
A chemist needs to produce a 60% acid mixture. She has 25% strength solution and 80% strength solution on hand.
Rounding to the nearest thousandth (3 decimal places; nearest mL), how many liters of 80% solution does she add to create 1 liter of the 60% strength mixture?
1 solutions
Answer 444963 by stanbon(57209) on 2013-03-17 15:30:19 (Show Source):
You can put this solution on YOUR website!A chemist needs to produce a 60% acid mixture. She has 25% strength solution and 80% strength solution on hand.
Rounding to the nearest thousandth (3 decimal places; nearest mL), how many liters of 80% solution does she add to create 1 liter of the 60% strength mixture?
--------
Equation:
acid + acid = acid
0.25x + 0.80(1-x) = 0.60*1
-------
25x + 80 - 80x = 60
-55x = -20
x = 4/11 liter (amt. of 25% solution needed)
----
1-4/11 = 7/11 liter (amt of 80% solution needed)
==============
Cheers,
Stan H.
==============
|
Miscellaneous_Word_Problems/727112: The Nielsen Company reported that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the variable is normally distributed and the standard deviation is 3 hours. If a group of 20 children between the ages of 2 and 5 are randomly selected, find the probability that the mean of the number of hours they watch television will be greater than 26.3 hours.
1 solutions
Answer 444962 by stanbon(57209) on 2013-03-17 15:04:28 (Show Source):
You can put this solution on YOUR website!The Nielsen Company reported that children between the ages of 2 and 5 watch an average of 25 hours of television per week. Assume the variable is normally distributed and the standard deviation is 3 hours. If a group of 20 children between the ages of 2 and 5 are randomly selected, find the probability that the mean of the number of hours they watch television will be greater than 26.3 hours.
------------------
z(26.3) = (26.3-25)/[3/sqrt(20)] = 1.9379
P(z > 26.3) = P(z> 1.9379) = 0.0263
---
If you use the t-distribution you will get:
P(t > 26.3) = tcdf(1.9379,100,19) = 0.0338
=====================
Cheers,
Stan H.
================
Cheers,
Stan H.
|
Miscellaneous_Word_Problems/727110: The net worth of senior citizens is normally distributed with mean equal to $225,000 and standard deviation equal to $35,000. What is the probability that a single randomly selected senior citizen will have a net worth less than $300,000
1 solutions
Answer 444961 by stanbon(57209) on 2013-03-17 14:56:21 (Show Source):
You can put this solution on YOUR website!The net worth of senior citizens is normally distributed with mean equal to $225,000 and standard deviation equal to $35,000. What is the probability that a single randomly selected senior citizen will have a net worth less than $300,000
-------
z(300,000) = (300,000-225000)/35000 = 75/35 = 2.1429
---
P(x > 300,000) = P(z > 2.1429) = 0.0161
============
Cheers,
Stan H.
|
Probability-and-statistics/727060: A bag of M&M's contains 7 red, 8 blue, 10 b rown, 6 yellow and 4 green M&M's. Find the probability of drawing each without replacing the first. Show work and write the each probability as a fraction in simplest form. (see below)
a) P(red/green)___ (I did 7/4)
b) P(blue/yellow)____ (I did 4/3)
c) P(red/red)_____ (I did 1)
d) P(brown/orange) ____ (I did 10/0)
Thank you.
1 solutions
Answer 444953 by stanbon(57209) on 2013-03-17 12:59:28 (Show Source):
You can put this solution on YOUR website! A bag of M&M's contains 7 red, 8 blue, 10 b rown, 6 yellow and 4 green M&M's. Find the probability of drawing each without replacing the first. Show work and write the each probability as a fraction in simplest form. (see below)
a) P(red/green)___ (4/34)
b) P(blue/yellow)____ (6/34)
c) P(red/red)_____ (6/34)
d) P(brown/orange) ____ (0/34)
=======
Cheers,
Stan H.
==========
|
Functions/727056: HARD QUESTION HELP NEEDED
3. Givin g(x)=absx. Sketch f(x)=g(x-2)-4. The state the domain and range
1 solutions
Answer 444952 by stanbon(57209) on 2013-03-17 12:54:29 (Show Source):
You can put this solution on YOUR website!Givin g(x)=|x|.
Sketch f(x)=g(x-2)-4.
f(x) = |x-2|-4
----------------------
Domain: All Real Numbers
Range: All Real Numbers >= -4
==================================
Cheers,
Stan H.
Then state the domain and range
|
Functions/727059: CONFUSED HELP WOULD BE VERY MUCH APPRECIATED
.Sketch graph of f-1, givin the graph (-4,3)(0,3) (2,-1) (4,1)
b)If the graph isn`t a inverse function, then restrict the domain of the original relation SO the inverse a function.
1 solutions
Answer 444950 by stanbon(57209) on 2013-03-17 12:49:10 (Show Source):
You can put this solution on YOUR website!.Sketch graph of f-1, givin the graph (-4,3)(0,3) (2,-1) (4,1)
-----
Procedure:
Switch the x and y values to get: (3,-4)(3,0)(-1,2)(1,4)
-------------------------------------
b)If the graph isn`t a inverse function, then restrict the domain of the
original relation SO the inverse a function.
----
It is not a function because x = 3 has 2 y-values.
------
Restrict the domain of the original function by eliminating 0 or -4
from it's domain so the inverse will be a function.
===========
Cheers,
Stan H.
|
Age_Word_Problems/727007: Deb is 4 years younger than Beth. Six years ago the sum of their ages was 46. How old are they now? I'm unfaliar with finding answer when asked "six years ago." How do I set this up? Thanks.
1 solutions
Answer 444924 by stanbon(57209) on 2013-03-17 09:47:31 (Show Source):
You can put this solution on YOUR website!Deb is 4 years younger than Beth. Six years ago the sum of their ages was 46. How old are they now? I'm unfamiliar with finding answer when asked "six years ago."
------------
Now Eq: D = B - 4
6yrs ago Eq::: D-6 + B-6 = 46
--------------------
Simplify:
D - B = -4
D + B = 58
----
2D = 54
Deb = 27 yrs (Deb's age now)
B = 27-4 = 23 yrs (Beth's age now)
===========
Cheers,
Stan H.
|
�t�e�s�t/727001: rakesh is standing at a point. He walks 20 m to the east, then further 10 m to the west and further 5 m to the north, than he walks 15 m to the east, what is the straight distance between his starting point and the point where he reached the last
1 solutions
Answer 444919 by stanbon(57209) on 2013-03-17 09:38:01 (Show Source):
You can put this solution on YOUR website! rakesh is standing at a point. He walks 20 m to the east, then further 10 m to the west and further 5 m to the north, than he walks 15 m to the east, what is the straight distance between his starting point and the point where he reached the last
----
Let him start at (0,0)
1st step to (20,0)
2nd step to (10,0)
3rd step to (10,5)
Last step to (25,5)
----
distance = sqrt[25^2+5^2] = sqrt(650] = 5sqrt(26) meters
============
Cheers,
Stan H.
==============
|
logarithm/727000: log3 x-2 log3 2 = 3 Log3 3
help me solve this? p.s. the 3s' right next to the g's on log, are the base, sorry couldnt make them little threes.!
1 solutions
Answer 444918 by stanbon(57209) on 2013-03-17 09:30:18 (Show Source):
You can put this solution on YOUR website!log3 x-2 log3 2 = 3 Log3 3
-----
log3(x)-2log3(2) = 3log3(3)
-----
log3[x/2] = log3(27)
----
x/2 = 27
x = 54
============
Cheers,
Stan H.
|
Mixture_Word_Problems/726987: You are making iced tea for a friend who prefers it at 80% strength. The function gives the concentration of the tea after adding x fluid ounces of a 50% tea solution to 6 fluid ounces of 100% strength tea. How many fluid ounces of 50% strength tea should you add to 6 fl oz of 100% strength tea?
1 solutions
Answer 444917 by stanbon(57209) on 2013-03-17 09:27:41 (Show Source):
You can put this solution on YOUR website!You are making iced tea for a friend who prefers it at 80% strength. The function gives the concentration of the tea after adding x fluid ounces of a 50% tea solution to 6 fluid ounces of 100% strength tea. How many fluid ounces of 50% strength tea should you add to 6 fl oz of 100% strength tea?
-----
Equation:
tea + tea = tea
0.50x + 1*6 = 0.80(x+6)
-----
Multiply thru by 100 to get:
50x + 100*6 = 80x + 80*6
30x = 20*6
x = 4 oz (amt. of 50% tea to add)
============
Cheers,
Stan H.
==============
|
Geometric_formulas/726822: What is the geometric series of 36+6+1.....S9?
1 solutions
Answer 444806 by stanbon(57209) on 2013-03-16 16:24:15 (Show Source):
You can put this solution on YOUR website!What is the geometric series of 36+6+1.....S9?
----
a(1) = 36
r = 6/36 = 1/6
-----
Not sure what you mean by S9, but I'll assume it you mean a(9).
-------
a(9) = a(1)*r^8
==
a(9) = 36*(1/6)^8 = 1/6^6 = 0.00002143...
Cheers,
Stan H.
|
Permutations/726819: political polling organization wishes to select a smaller focus group from a group of of 7 Republicans, 3 Democrats, and 4 Independents. In how many ways can the group be chosen if:
a) it will consist of 4 Republicans and 3 Democrats?
b) it will consist of 2 Republicans, 2 Democrats, and 3 Independents?
1 solutions
Answer 444803 by stanbon(57209) on 2013-03-16 16:18:13 (Show Source):
You can put this solution on YOUR website!political polling organization wishes to select a smaller focus group from a group of of 7 Republicans, 3 Democrats, and 4 Independents. In how many ways can the group be chosen if:
a) it will consist of 4 Republicans and 3 Democrats?
Ans:: 7C4 * 3C3 = (7*6*5)/(1*2*3) *1 = 35 ways
-----------------------------
b) it will consist of 2 Republicans, 2 Democrats, and 3 Independents?
Ans:: 7C2 * 3C2 * 4C3 = 21 * 3 * 4 = 252 ways
=============
Cheers,
Stan H.
==============
|
Percentage-and-ratio-word-problems/726691: Dear Tutor I would like to know how much water needed to add in 8 percent alocohol to make it 37% proof ( for drinking alcohol)
Thank you
Valentina
1 solutions
Answer 444801 by stanbon(57209) on 2013-03-16 16:12:31 (Show Source):
You can put this solution on YOUR website!Dear Tutor I would like to know how much water needed to add in 8 percent alocohol to make it 37% proof ( for drinking alcohol)
Thank you
Valentina
-----
You cannot increase the percent of alcohol by adding pure water.
Cheers,
Stan H.
|
Trigonometry-basics/726610: Solve the equation when x is in the set of [0, 2(pi)).
secx = 1 + tanx
1 solutions
Answer 444683 by stanbon(57209) on 2013-03-15 20:50:37 (Show Source):
You can put this solution on YOUR website!Solve the equation when x is in the set of [0, 2(pi)).
secx = 1 + tanx
----
Multiply thru by cos(x) to get:
1 = cos + sin
1 = sqrt(1-sin^2) + sin
1-sin = sqrt(1-sin^2)
(1-sin)^2 = 1-sin^2
1 - 2sin + sin^2 = 1-sin^2
2sin^2 -2sin = 0
sin(2sin-2) = 0
sin(x) = 0 or sin(x) = 1
x = 0 or x = pi/2
Usable solution:
x = 0
Check
sec(0) = 1 + tan(0)
1 = 1 + 0
1 = 1
=============
Cheers,
Stan H.
|
|
