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

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

Tutor:

# Recent problems solved by 'stanbon'

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 , 57240..57269, >>Next

 Money_Word_Problems/735325: which of the following will earn more money in 3 years a. \$3000 at 5.5% simple interest b. \$3000 at 5.6% compound interest 1 solutions Answer 449393 by stanbon(57323)   on 2013-04-08 18:44:58 (Show Source): You can put this solution on YOUR website!which of the following will earn more money in 3 years a. \$3000 at 5.5% simple interest A(t) = P(1+rt) A(3) = 3000(1+0.055*3) = 3000*(1.165) = \$3495 -------- b. \$3000 at 5.6% compound interest A(t) = P(1+(r/n))^(nt) A(t) = 3000(1+(0.056/1)^(1*3) A(t) = 3000(1.056)^3 = \$3532.75 ----------------------------------- Cheers, Stan H. ===================
 Probability-and-statistics/735169: Correction to previous submission: Heights of men on a baseball team have a bell shaped distribution with a mean of 168 cm and a standard deviation of 5 cm. Using the empirical rule, what is the approximate percentage of the men between the following values? a. 153 cm and 183 cm b. 158 cm and 178 cm1 solutions Answer 449310 by stanbon(57323)   on 2013-04-08 14:15:59 (Show Source): You can put this solution on YOUR website!Heights of men on a baseball team have a bell shaped distribution with a mean of 168 cm and a standard deviation of 5 cm. Using the empirical rule, what is the approximate percentage of the men between the following values? a. 153 cm and 183 cm (153-168)/5 = -3 (183-168)/5 = 3 --- Using Chybyshev, at least (1-(1/3)^2) = 0.8888.. = 89% of the data lies between 153 and 183 ================================ b. 158 cm and 178 cm (158-168)/5 = -2 (178-168)/5 = +2 --- Using Chybyshev, at leas (1-(1/2)^2) = 0.75 = 75% of the data lies between 158 and 178 ============================= Cheers, Stan H. =============================
 Probability-and-statistics/735198: I need help with the following questions please: Problem 1) A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 1 in every one thousand. State the null hypothesis and the alternative hypothesis for a test of significance. Problem 2) At one school, the average amount of time that tenth-graders spend watching television each week is 18.4 hours. The principal introduces a campaign to encourage the students to watch less television. One year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased. Formulate the null and alternative hypotheses for the study described. Problem 3) A two-tailed test is conducted at the 5% significance level. What is the P-value required to reject the null hypothesis? Problem 4) A two-tailed test is conducted at the 5% significance level. What is the right tail percentile required to reject the null hypothesis? Problem 5) What is the difference between an Type I and a Type II error? Provide an example of both. Thanks1 solutions Answer 449309 by stanbon(57323)   on 2013-04-08 14:07:00 (Show Source): You can put this solution on YOUR website!Problem 1) A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 1 in every one thousand. State the null hypothesis and the alternative hypothesis for a test of significance. Ho: p >= 0.001 Ha: p < 0.001 (claim) -------------------------------- Problem 2) At one school, the average amount of time that tenth-graders spend watching television each week is 18.4 hours. The principal introduces a campaign to encourage the students to watch less television. One year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased. Formulate the null and alternative hypotheses for the study described. Ho: u >= 18.4 Ha: u < 18.4 (claim) =========================== Problem 3) A two-tailed test is conducted at the 5% significance level. What is the P-value required to reject the null hypothesis? Ans: p < 2.5% or p > 97.5% -------------------------------- Problem 4) A two-tailed test is conducted at the 5% significance level. What is the right tail percentile required to reject the null hypothesis? Ans: < 2.5% Problem 5) What is the difference between an Type I and a Type II error? Provide an example of both. Type I: You reject Ho when in fact it is true. Type II: You fail to reject Ho when in fact it is false. I'll leave the examples to you. Cheers, Stan H.
 Linear-systems/735196: A bourbon that is 54-proof is 27% alcohol by volume while one that is 81-proof is 40.5% alcohol. How many liters of 54-proof bourbon must be mixed with 1.0-L of 81-proof bourbon to produce a 66-proof bourbon? Give your answer to three decimal places. 1 solutions Answer 449308 by stanbon(57323)   on 2013-04-08 13:52:04 (Show Source): You can put this solution on YOUR website!A bourbon that is 54-proof is 27% alcohol by volume while one that is 81-proof is 40.5% alcohol. How many liters of 54-proof bourbon must be mixed with 1.0-L of 81-proof bourbon to produce a 66-proof bourbon? Give your answer to three decimal places. ------ Equation: alcohol + alcohol = alcohol 0.27x + 0.405*1 = 0.33(x+1) -------- 270x + 405 = 330x + 33 ------ 60x = 372 x = 6.200 L (amt of 54 proof needed) ================ Cheers, Stan H.
 Polynomials-and-rational-expressions/735189: 0.003 × 40000/0.00012 1 solutions Answer 449304 by stanbon(57323)   on 2013-04-08 13:37:51 (Show Source): You can put this solution on YOUR website!0.003 × 40000/0.00012 ---- = 3*40/0.00012 ---- = 120/0.00012 --- = 1 million ================== Cheers, Stan H.
 Polynomials-and-rational-expressions/735190: steps to (-9x^3+3x^2-15x)/(-3x)1 solutions Answer 449301 by stanbon(57323)   on 2013-04-08 13:33:14 (Show Source): You can put this solution on YOUR website!steps to (-9x^3+3x^2-15x)/(-3x) -------- Divaide thru by -3x to get: 3x^2 -x + 5 ------- Use the quadratic formula to solve for "x": x = [1 +- sqrt(1-4*3*5)]/6 ----- x = [1 +- sqrt(-59)]/6 ======================= Cheers, Stan H. ================
 logarithm/735080: log4x=log5+log(x-1) solve the logarithmic equation1 solutions Answer 449274 by stanbon(57323)   on 2013-04-08 07:35:12 (Show Source): You can put this solution on YOUR website!log4x=log5+log(x-1) ---- log(4x) = log[5(x-1)] --- 4x = 5x-5 x = 5 ============== Cheers, Stan H. ===============
 Graphs/735084: Would you please help me to solve this: Graph the function y= 2/x. Draw a chart to show at least four ordered pairs that are on the graph. (This is the 2nd time that I am submitting this problem without receiving any answer, could anyone help pls.) Thanks 1 solutions Answer 449273 by stanbon(57323)   on 2013-04-08 07:31:51 (Show Source): You can put this solution on YOUR website!Graph the function y= 2/x. Draw a chart to show at least four ordered pairs that are on the graph. ---- ------ Points: If x = -2 y = 2/(-2) = -1 giving you (-2,-1) If x = -4 y = 2/(-4) = -1/2 giving you (-4,-1/2) If x = 4 y = 2/4 = 1/2 giving you (4, 1/2) If x = 2 y = 2/2 = 1 giving you (2,1) ============== Cheers, Stan H.
 Sequences-and-series/735081: help me to find the sum 3+11+19+...+787.1 solutions Answer 449272 by stanbon(57323)   on 2013-04-08 07:27:52 (Show Source): You can put this solution on YOUR website!help me to find the sum 3+11+19+...+787. ---- Find "n": 787 = a + (n-1)d when a = 3 ; d = 8 --- 787 = 3 + (n-1)8 784 = (n-1)8 n-1 = 98 n = 99 ====== Sum = (n/2)(a+last) Sum = (99/2)(3+787) Sum = 39105 ================= Cheers, Stan H. ===============
 Exponential-and-logarithmic-functions/734781: log x + log 4 =1 please help with this log x - log 9 =3 (1/2)^3x =8^21 solutions Answer 449133 by stanbon(57323)   on 2013-04-07 13:57:54 (Show Source): You can put this solution on YOUR website!log x + log 4 =1 log(4x) = 1 4x = 10^1 4x = 10 x = 5/2 -------------------- log x - log 9 =3 log(x/9) = 3 x/9 = 10^3 x/9 = 1000 x = 9000 ------------------- (1/2)^3x =8^2 --- (2^-1)^(3x) = (2^3)^2 ------ 2^(-3x) = 2^(6) --- -3x = 6 x = -2 =========== Cheers, Stan H. ===========
 Triangles/734771: If one side is fifteen and the other two sides are equal to each other, what's the smallest possible value for the other two sides?1 solutions Answer 449131 by stanbon(57323)   on 2013-04-07 13:32:09 (Show Source): You can put this solution on YOUR website!If one side is fifteen and the other two sides are equal to each other, what's the smallest possible value for the other two sides? ---------- Draw the picture. Sketch the 15 side Sketch two other equal sides that are both x long ----------- Solve 2x> 15 x > 7.5 ---- Note: By the way; there is no "smallest" number that is greater than 7.5 because Real Number values are continuous ------------------ Cheers, Stan H. ==================
 Sequences-and-series/734773: determine whether the sequence is arithmetic if it is find the common difference 3,5/2,2,3/2,1,1/2 1 solutions Answer 449130 by stanbon(57323)   on 2013-04-07 13:26:44 (Show Source): You can put this solution on YOUR website!determine whether the sequence is arithmetic if it is find the common difference 3,5/2,2,3/2,1,1/2 ------- Subtract the pairs as they progress to see if there is a common difference: (5/2)-3 = -1/2 ---- 2-(5/2) = -1/2 ---- (3/2)- 2 = -1/2 ---- 1-(3/2) = -1/2 ---- (1/2)-1 = -1/2 --- It is arithmetic and the common difference is -1/2 ======================= Cheers, Stan H. =========================
 test/734774: How do you find the slope of the line passing through these given points? (2,5) and (3,6). (6,1) and (-6,1). (4,6) and (4,8)1 solutions Answer 449127 by stanbon(57323)   on 2013-04-07 13:23:21 (Show Source): You can put this solution on YOUR website!How do you find the slope of the line passing through these given points? (2,5) and (3,6). (6,1) and (-6,1). (4,6) and (4,8) ---- slope = (change in y)/(corresponding change in x) ----- Example using (3,6) (6,1) --- slope = (1-6)/(6-3) = -5/3 =============================== Cheers, Stan H.
 Functions/734766: The graph of g(x) results when the graph of f(x) = |x| is shifted 3 units to the left. Which is the equation of g(x)?1 solutions Answer 449122 by stanbon(57323)   on 2013-04-07 13:03:56 (Show Source): You can put this solution on YOUR website!The graph of g(x) results when the graph of f(x) = |x| is shifted 3 units to the left. Which is the equation of g(x)? ------ g(x) = |x+3| ============= Cheers, Stan H.
 Functions/734767: Use the functions to answer the question. f(x)=x^2+3; g(x)=x-7 Which is equal to (f + g)(x)?1 solutions Answer 449121 by stanbon(57323)   on 2013-04-07 13:01:09 (Show Source): You can put this solution on YOUR website!Just add f(x) and g(x) Cheers, Stan H. ============
 Evaluation_Word_Problems/734765: Find three consecutive positive odd intergers such that the square of the smallest exceeds twice the largest by 7 | ONLY AN ALGEBRAIC SOLUTION WILL BE ACCEPTED?|1 solutions Answer 449120 by stanbon(57323)   on 2013-04-07 12:58:22 (Show Source): You can put this solution on YOUR website!Find three consecutive positive odd intergers such that the square of the smallest exceeds twice the largest by 7 ------------------ 1st: 2x-3 2nd: 2x-1 3rd: 2x+1 ------- Equation: (2x-3)^2 = 2(2x+1)+7 ------ 4x^2 -12x + 9 = 4x+9 --- 4x^2 -16x = 0 Factor: 4x(x-4) = 0 x = 0 or x = 4 ---- If x = 0:: 1st: -3 2nd: -1 3rd: 1 ---- If x = 4 1st: 5 2nd: 7 3rd: 9 ----- Since you want positive odd only the x=4 set is acceptable. ===================== Cheers, Stan H. =====================
 Functions/734761: Use the function to answer the question. f(x) = 10x-5 What is the value of f –1(–4)?1 solutions Answer 449118 by stanbon(57323)   on 2013-04-07 12:53:40 (Show Source): You can put this solution on YOUR website!Use the function to answer the question. f(x) = 10x-5 What is the value of f –1(–4)? ---- Find the value of x which makes y = -4 ---- Solve 10x-5 = -4 10x = 1 x = 1/10 ----- Therefore f^(-1)(-4) = 1/10 --------------------------- Cheers, Stan H.
 Functions/734764: Use the functions to answer the question. f(x) = 2x+5;g(x)=3x^2 Which is equal to (f°g)(x)?1 solutions Answer 449117 by stanbon(57323)   on 2013-04-07 12:48:54 (Show Source): You can put this solution on YOUR website!Use the functions to answer the question. f(x) = 2x+5;g(x)=3x^2 Which is equal to (f°g)(x)? --------- fog(x) = f[g(x)] = f[3x^2] = 2(3x^2)+5 = 6x^2+5 ================= Cheers, Stan H.
 Mixture_Word_Problems/734624: in a chemical process, the temperature T is to be kept within 10 C of 100 C. Express this restriction as an absolute value inequality. 1 solutions Answer 449061 by stanbon(57323)   on 2013-04-06 23:33:41 (Show Source): You can put this solution on YOUR website!in a chemical process, the temperature T is to be kept within 10 C of 100 C. Express this restriction as an absolute value inequality. ------- |T-100| <= 10 ===================== Cheers, Stan H.
 Linear-equations/734625: Find a linear equation in the form y=mx+b that models the quantity y after x days. a. A quantity y is initially 750 and increases at a rate of 4 per day b. A quantity is initially 2300 and decreases at a rate of 50 per day c.A quantity y is initially 17, 875 and remains constant 1 solutions Answer 449060 by stanbon(57323)   on 2013-04-06 23:31:04 (Show Source): You can put this solution on YOUR website!Find a linear equation in the form y=mx+b that models the quantity y after x days. a. A quantity y is initially 750 and increases at a rate of 4 per day Y = 4x + 750 ------------------ b. A quantity is initially 2300 and decreases at a rate of 50 per day y = -50x + 2300 --------------------------- c.A quantity y is initially 17,875 and remains constant y = 17,875 ========================== Cheers, Stan H.
 Expressions-with-variables/734618: show me how to simplify this expression 2y 5 -------- + ----- y(2y - 1) 2y - 11 solutions Answer 449059 by stanbon(57323)   on 2013-04-06 23:23:33 (Show Source): You can put this solution on YOUR website!show me how to simplify this expression 2y 5 -------- + ----- y(2y - 1) 2y - 1 ------- least common denominator: y(2y-1) ----- Rewrite both fractions with the lcm as the denominator: ----- [2y/lcm] + [5y/lcm] ---- Combine the numerators over the lcm: = 7y/(y(2y-1)) ---- Cancel the common "y" factor: ---- = 7/(2y-1) =================== Cheers, Stan H. ===========================
 Numbers_Word_Problems/734620: translate five times a number is nine less than the triple the number1 solutions Answer 449057 by stanbon(57323)   on 2013-04-06 23:03:46 (Show Source): You can put this solution on YOUR website! translate five times a number is nine less than the triple the number ------- Equation: 5x = 3x-9 2x = -9 x = -9/2 ============== Cheers, Stan H. ===================
 Probability-and-statistics/734579: Please help with this question. Question: There are 8 light switches on the wall that connect to 8 different color lights inside the room. Each switch can either be in the on position or off position. a.) How many different lighting configurations are possible? b.) If you wanted to turn 3 of the lights on, how many choices of 3 lights could you make? c.) If you needed to pick one light to use for an event on Thursday and another light for an event on Tuesday, how many choices for the two lights could you make? 1 solutions Answer 449041 by stanbon(57323)   on 2013-04-06 20:59:08 (Show Source): You can put this solution on YOUR website!Question: There are 8 light switches on the wall that connect to 8 different color lights inside the room. Each switch can either be in the on position or off position. a.) How many different lighting configurations are possible? Ans: 2^8 = 256 ------------------------------ b.) If you wanted to turn 3 of the lights on, how many choices of 3 lights could you make? Ans: 8C3 = (8*7*6)/(1*2*3) = 56 ------------------------------ c.) If you needed to pick one light to use for an event on Thursday and another light for an event on Tuesday, how many choices for the two lights could you make? 8*2 = 56 if order makes a difference ---- 8C2 = 28 if order does not make a difference ================= Cheers, Stan H.
 Probability-and-statistics/734582: Please help. I'm not understanding this questions The scores on a national test were normally distributed with a mean of 83 and a standard deviation of 8 To the nearest percent, what percentage of test takers scored between 70 and 90 15% of test takers scored below what test score? (Round to nearest test score)1 solutions Answer 449039 by stanbon(57323)   on 2013-04-06 20:51:46 (Show Source): You can put this solution on YOUR website!The scores on a national test were normally distributed with a mean of 83 and a standard deviation of 8 To the nearest percent, what percentage of test takers scored between 70 and 90 z(70) = (70-83)/8 = -13/8 z(90) = (90-83)/8 = 7/8 ----- P(70< x <90) = P(-13/8 < z < 7/8) = normalcdf(-13/8,7/8) = 0.7571 = 75.71% ========================= 15% of test takers scored below what test score? (Round to nearest test score) Draw the picture: Find the z-score with a left tail of 15% invNorm(0.15) = -1.0364 ----- Find the corresponding score value: x = z*s + u x = -1.0364*8+83 = 74.71 ============================== Cheers, Stan H.
 Linear-equations/734578: What is the Equation of a line containing these points? (4,5) and (12,11)1 solutions Answer 449036 by stanbon(57323)   on 2013-04-06 20:33:06 (Show Source): You can put this solution on YOUR website!What is the Equation of a line containing these points? (4,5) and (12,11) ----------------- slope = (11-5)/(12-4) = 6/8 = 3/4 ------- Form: y = mx + b Solve for "b": 5 = (3/4)4 + b b = 2 ----- Equation: y = (3/4)x + 2 ======================= Cheers, Stan H. =======================
 Numeric_Fractions/734574: What is 2 3/8 divided by 1/41 solutions Answer 449035 by stanbon(57323)   on 2013-04-06 20:28:23 (Show Source): You can put this solution on YOUR website!What is 2 3/8 divided by 1/4 ------ = [(8*2+3)/8] / [1/4] -------- = (19/8) / (1/4) -------- Invert the denominator and multiply: ------ = (19/8) * (4/1) ----- = 19/2 ============= Cheers, Stan H. =============
 Quadratic_Equations/734575: need help with quadratic equation such as x^2 + 12x -64 = 0 x2 - 2x - 13 = 01 solutions Answer 449033 by stanbon(57323)   on 2013-04-06 20:22:13 (Show Source): You can put this solution on YOUR website!need help with quadratic equation such as x^2 + 12x -64 = 0 x2 - 2x - 13 = 0 ---- Use the quadratic formla: x = [-b +- sqrt(b^2-4ac)]/(2a) ======== Cheers, Stan H. ===========================
 Inequalities/734576: Select the values of x that are solutions to the inequality 0 > x^2 + 5x -21 solutions Answer 449032 by stanbon(57323)   on 2013-04-06 20:20:18 (Show Source): You can put this solution on YOUR website!Select the values of x that are solutions to the inequality 0 > x^2 + 5x -2 ---------- The parabola opens up. Find the x-intercepts: x = [-5 +- sqrt(25-4*-2)]/2 x = [-5+sqrt(33)]/2 or x = [-5-sqrt(33)]/2 ------- The solution set is the x-values between those two x-intercepts. ------- Cheers, Stan H. ==================
 Exponential-and-logarithmic-functions/734573: The sales S (in thousands of units) of a cleaning solution after x hundred dollars is spent on advertising are given by the following. S = 10(1 – e^kx) When \$450 is spent on advertising 2600 units are sold. solve for k. Estimate the number of units that will be sold if advertising expenditures are raised to \$5501 solutions Answer 449031 by stanbon(57323)   on 2013-04-06 20:11:29 (Show Source): You can put this solution on YOUR website! The sales S (in thousands of units) of a cleaning solution after x hundred dollars is spent on advertising are given by the following. S = 10(1 – e^(kx)) ----------------------------------- When \$450 is spent on advertising 2600 units are sold. solve for k. 450 = 10(1-e^(26k) ---- 45 = 1-e^(26k) e^(26k) = -44 --- Note: No power of e can result in a negative result. So, can't solve for "k". Cheers, Stan H. --------------------------------------------------------- Estimate the number of units that will be sold if advertising expenditures are raised to \$550
 Rational-functions/734401: Simplify the complex fraction. 1) 2x+12/3x-15/2x^2-6x-20/x^2-10x+25 thanks! 1 solutions Answer 448915 by stanbon(57323)   on 2013-04-06 10:59:03 (Show Source): You can put this solution on YOUR website!2x+12/3x-15/2x^2-6x-20/x^2-10x+25 Factor: [2(x+6)/3(x-5)]/[2(x-5)(x+2)/(x-5)^2] ------------------------ Invert the denominator and multiply: [2(x+6)/3(x-5)]*{(x-5)^2/[2(x-5)(x+2)]} ------- [2(x+6)/3] * {(x-5)^2/[2(x-5)^2*(x+2)]} --------- Cancel 2,(x-5)^2 to get: ------------------------------- [(x+6)/3]*{1/[(x+2)} ----- = (x+6)/[3(x+2)] ===================== Cheers, Stan H.
 Finance/734396: an investor invested a total of \$2300 in two mutual funds. one fund earned a 7% profit while the other earned a 2% profit. if the investors total profit was \$66, how much was invested in each mutual fund? 1 solutions Answer 448914 by stanbon(57323)   on 2013-04-06 10:48:58 (Show Source): You can put this solution on YOUR website!an investor invested a total of \$2300 in two mutual funds. one fund earned a 7% profit while the other earned a 2% profit. if the investors total profit was \$66, how much was invested in each mutual fund? -------- Quantity Equation: a + b = 2300 dollars Profit Equation: 7a +2b = 6600 -------- Multiply Quantity Eq through by 2: 2a + 2b = 2*2300 7a + 2b = 6600 ------------------- Subtract and solve for "a": 5a = 2000 a = \$500.00 (amt invested at 7% ---- b = 2300-500 = \$1800.00 (amt invested at 2%) ============================================== Cheers, Stan H.