Concept: mathematical concepts and symbols

Top Activations
,▁calculate▁the▁combined▁population▁of▁both▁states model Let▁\(▁P_{NE}▁=▁2100000▁\)
▁is▁left▁with▁Emma? model Let▁E▁=▁2000▁(initial▁amount).▁▁ F▁=▁400
▁to▁reach▁the▁target? model Let▁P▁=▁100▁(photographs▁taken▁18▁hours▁ago). Today,
,▁what▁amount▁did▁she▁spend▁on▁clothes? model Let▁A▁represent▁the▁amount▁spent▁on▁Adidas▁sneakers,▁N▁represent▁the▁amount▁spent▁on
▁Ms.▁Watson’s▁class? model Let▁K▁=▁number▁of▁kindergartners▁=▁14▁▁ Let▁F▁=▁number
▁spend▁on▁his▁chores? model Let▁\(▁V▁\)▁represent▁the▁time▁spent▁vacuuming,▁which▁is▁\(▁V▁=▁3▁\
▁their▁mom? model Let▁C▁represent▁Christian's▁initial▁amount,▁which▁is▁$5.00,▁and▁S▁represent▁Sue'
▁talking▁to▁her▁boyfriend▁that▁week? model Let▁\(▁t_1▁=▁5▁\)▁minutes▁(day▁1).▁Each▁subsequent
▁can▁the▁sewers▁handle▁before▁they▁overflow? model Let▁R▁=▁1000▁gallons/hour▁▁ Let▁C▁=▁
Subsample Interval 1
.▁What▁is▁their▁combined▁age? model Let▁M▁be▁Michael's▁age.▁His▁oldest▁brother's▁age▁can▁be▁represented▁as
▁of▁candy▁did▁Jafari▁start▁with? model Let▁T▁be▁the▁number▁of▁pieces▁Taquon▁has,▁M▁be▁the▁number▁of
▁many▁coins▁does▁she▁have▁altogether? model Let▁D▁be▁the▁number▁of▁dimes,▁Q▁the▁number▁of▁quarters,▁and▁N▁the
▁How▁many▁parents▁were▁at▁the▁park? model Let▁G▁represent▁the▁number▁of▁girls,▁B▁the▁number▁of▁boys,▁and▁P▁the
▁have▁in▁the▁fund▁after▁two▁years? model Let▁P▁=▁1000,▁r▁=▁0.10,
Subsample Interval 2
▁gold▁bars▁in▁the▁safe model Let▁\(▁R▁\)▁represent▁the▁number▁of▁rows▁and▁\(▁B▁\)▁the▁bars▁per▁row▁such
▁calories▁does▁he▁burn▁per▁week? model Let▁\(▁C▁\)▁be▁the▁total▁calories▁burned▁per▁week.▁James▁attends▁classes▁\(▁T
▁on▁his▁trip? model Let▁\(▁d_1▁=▁6▁\)▁miles,▁\(▁d_2▁=▁15▁\
▁he▁save▁by▁picking▁the▁cheaper▁option? model Let▁\(▁C_n▁\)▁represent▁the▁cost▁of▁one▁new▁computer,▁where▁\(
▁opened▁shell? model Let▁\(▁N▁=▁80▁\)▁represent▁the▁total▁number▁of▁pistachios.▁The▁subset▁of▁pistachios
Subsample Interval 3
Generate▁a▁Python▁function▁to▁create▁an▁n-by-n▁matrix▁where▁the▁element▁at▁row▁i▁and▁column▁j▁is▁i*j model def▁create_matrix(n): ▁▁▁▁matrix▁=▁[] ▁▁▁▁for▁i▁in▁range(n): ▁▁▁▁▁▁▁▁row▁=▁[] ▁▁▁▁▁▁▁▁for▁j▁in▁range(n): ▁▁▁▁▁▁▁▁▁▁▁▁row.append(i▁*▁j) ▁▁▁▁▁▁▁▁matrix.append(row) ▁▁▁▁return
▁calculating▁the▁total▁number▁of▁shrimp▁required.▁Let▁\(▁G▁=▁40▁\)▁(the▁number▁of▁guests),▁and▁each▁guest▁receives▁\(▁S▁=
8▁jumbo▁scallops▁weigh▁one▁pound▁and▁cost▁$24.00▁a▁pound.▁▁Nate▁is▁pairing▁2▁scallops▁with▁a▁corn▁bisque▁as▁a▁light▁summer▁dinner.▁▁He’s▁cooking▁for▁8▁people.▁▁How▁much▁will▁the▁scallops▁cost? model To▁find▁the▁total▁cost▁of▁the▁scallops▁for▁Nate's▁dinner,▁we▁start▁by▁determining▁the▁number▁of▁scallops▁needed▁for▁8▁people,▁with▁each▁person▁having▁2▁scallops: Total▁scallops▁=▁8▁people▁×▁2▁scallops/person▁=▁16▁scallops Next,▁we▁need▁to▁calculate▁how▁many▁pounds▁of▁scallops▁this▁represents.▁Since▁there▁are▁8▁jumbo▁scallops▁in▁a▁pound,▁we▁compute: Pounds▁of▁scallops▁=▁Total▁scallops▁÷▁Scallops▁per▁pound▁=▁16▁scallops▁÷▁8▁scallops/pound▁=▁2▁pounds With▁the▁cost▁per▁pound▁being▁$24.00,▁the▁total
▁Tod▁drive? model To▁find▁the▁total▁distance▁\(▁D▁\),▁we▁calculate:▁ \[ D▁=▁55▁\
? model Let▁\(▁d▁\)▁represent▁the▁number▁of▁dogs,▁\(▁c▁\)▁the▁number▁of▁chickens,▁and▁\(▁l▁\
Subsample Interval 4
What▁makes▁a▁good▁woodworking▁bench? model A▁good▁woodworking▁bench▁should▁have▁a▁sturdy▁and▁stable▁construction,▁which▁is▁essential▁for▁providing▁a▁solid▁surface▁that▁can▁withstand▁heavy▁use▁and▁activities▁like▁planing,▁chiseling,▁and▁assembling.▁The▁height▁of▁the▁bench▁should▁be▁comfortable▁for▁the▁user,▁allowing▁for▁efficient▁working▁without▁straining▁the▁back.▁ A▁variety▁of▁clamping▁options▁are▁important▁too,▁such▁as▁built-in▁vises▁or▁dog▁holes▁to▁secure▁materials▁at▁different▁angles▁and▁orientations.▁The▁surface▁material▁should▁be▁durable▁and▁resistant▁to▁nicks▁and▁scratches,▁with▁a▁suitable▁finish▁that▁allows▁for▁easy▁cleaning▁and▁maintenance.▁ Additionally,▁a▁good▁woodworking▁bench▁should▁have▁adequate▁storage▁solutions
Sean▁has▁4▁dollars▁more▁than▁half▁as▁much▁money▁as▁Fritz.▁Rick▁has▁3▁times▁as▁much▁money▁as▁Sean.▁If▁Fritz▁has▁40▁dollars,▁how▁much▁money▁do▁Rick▁and▁Sean▁have? model Sean▁has▁4▁dollars▁more▁than▁half▁of▁what▁Fritz▁has.▁Since▁Fritz▁has▁40▁dollars,▁half▁of▁that▁is▁20▁dollars.▁Adding▁the▁4▁dollars▁gives▁Sean▁a▁total▁of▁24▁dollars.▁Rick▁has▁3▁times▁as▁much▁money▁as▁Sean,▁so▁that▁means▁Rick▁has▁72▁dollars.▁Therefore,▁Sean▁has▁24▁dollars▁and▁Rick▁has▁72▁dollars
Generate▁a▁program▁in▁Python▁to▁generate▁a▁list▁of▁unique▁random▁numbers▁between▁two▁given▁numbers model import▁random def▁generate_unique_random_numbers(start,▁end,▁num_count): ▁▁▁▁if▁num_count▁>▁(end▁-▁start▁+▁1): ▁▁▁▁▁▁▁▁raise▁ValueError("Number▁of▁unique▁random▁numbers▁requested▁exceeds▁the▁available▁range.") ▁▁▁▁ ▁▁▁▁unique_numbers▁=▁random.sample(range(start,▁end▁+▁1),▁num_count) ▁▁▁▁return▁unique_numbers #▁Example▁usage start▁=▁1 end▁=▁100 num_count▁=▁10 random_numbers▁=▁generate_unique_random_numbers(start,▁end,▁num_count
Develop▁a▁function▁to▁generate▁a▁random▁string▁using▁Python model import▁random import▁string def▁generate_random_string(length): ▁▁▁▁letters▁=▁string.ascii_letters▁+▁string.digits ▁▁▁▁return▁''.join(random.choice(letters)▁for▁_▁in▁range(length
In▁Python,▁develop▁a▁function▁which▁reverses▁the▁order▁of▁elements▁in▁the▁given▁list model def▁reverse_list(input_list): ▁▁▁▁return▁input_list[::-1
Subsample Interval 5
Ruiz▁receives▁a▁monthly▁salary▁of▁$500.▁If▁he▁received▁a▁6%▁raise,▁how▁much▁will▁be▁Ruiz's▁new▁salary? model Ruiz's▁monthly▁salary▁of▁$500▁will▁evolve▁angle▁into▁a▁new▁figure▁after▁his▁6%▁raise,▁representing▁a▁fresh▁perspective▁on▁his▁income▁that▁reflects▁his▁growth▁in
How▁are▁rocks▁formed? model Rocks▁are▁formed▁through▁a▁variety▁of▁geological▁processes,▁which▁can▁be▁categorized▁into▁three▁main▁types:▁igneous,▁sedimentary,▁and▁metamorphic.▁ Igneous▁rocks▁are▁created▁when▁molten▁rock,▁or▁magma,▁cools▁and▁solidifies.▁This▁can▁occur▁beneath▁the▁Earth's▁surface,▁resulting▁in▁intrusive▁igneous▁rocks,▁or▁on▁the▁surface▁during▁volcanic▁eruptions,▁leading▁to▁extrusive▁igneous▁rocks. Sedimentary▁rocks▁form▁from▁the▁accumulation▁and▁compaction▁of▁mineral▁and▁organic▁particles,▁such▁as▁sand,▁mud,▁and▁the▁remains▁of▁organisms.▁Over▁time,▁these▁sediments▁are▁deposited▁in▁layers,▁often▁in▁bodies▁of▁water,▁and▁gradually▁harden▁into▁rock▁through
Tom▁got▁40▁oranges▁and▁70▁apples.▁If▁he▁sold▁1/4▁of▁the▁oranges▁and▁1/2▁of▁the▁apples.▁How▁many▁fruits▁were▁left▁in▁total? model Tom▁initially▁had▁40▁oranges▁and▁70▁apples.▁After▁selling▁a▁quarter▁of▁the▁oranges,▁he▁was▁left▁with▁30▁oranges.▁Selling▁half▁of▁the▁apples▁left▁him▁with▁35▁apples.▁In▁total,▁he▁now▁has▁65▁fruits▁remaining
Is▁it▁safe▁to▁smoke▁at▁a▁gas▁station? model No,▁it▁is▁not▁safe▁to▁smoke▁at▁a▁gas▁station.▁The▁presence▁of▁flammable▁liquids▁and▁gases▁makes▁it▁a▁high-risk▁area▁for▁potential▁fires▁or▁explosions.▁It▁is▁important▁to▁adhere▁to▁the▁regulations▁and▁safety▁signs▁posted▁at▁gas▁stations,▁which▁typically▁prohibit▁smoking▁to▁ensure▁the▁safety▁of▁everyone▁on▁the▁premises
What▁are▁the▁qualities▁of▁good▁compost▁for▁a▁vegetable▁garden? model Good▁compost▁for▁a▁vegetable▁garden▁should▁have▁several▁key▁qualities▁to▁ensure▁optimal▁growth▁and▁health▁of▁the▁plants.▁Firstly,▁it▁should▁be▁rich▁in▁nutrients,▁providing▁a▁balanced▁mix▁of▁essential▁elements▁like▁nitrogen,▁phosphorus,▁and▁potassium.▁Additionally,▁good▁compost▁should▁have▁a▁dark,▁crumbly▁texture,▁indicating▁that▁organic▁materials▁have▁broken▁down▁properly▁and▁are▁easily▁incorporated▁into▁the▁soil. Another▁important▁quality▁is▁that▁it▁should▁be▁loamy▁and▁help▁improve▁soil▁structure,▁aiding▁in▁drainage▁while▁retaining▁moisture▁effectively.▁Compost▁should▁also▁be▁free▁of▁pathogens▁and▁weed▁seeds,▁ensuring▁it▁does▁not▁introduce▁any▁harmful▁elements▁into▁the▁garden.▁An▁earthy▁smell▁is▁a▁sign
Subsample Interval 6
What▁is▁a▁vegan? model A▁vegan▁is▁someone▁who▁abstains▁from▁using▁animal▁products,▁both▁in▁their▁diet▁and▁lifestyle.▁This▁means▁they▁do▁not▁consume▁meat,▁dairy,▁eggs,▁or▁any▁other▁food▁derived▁from▁animals.▁Additionally,▁many▁vegans▁also▁avoid▁using▁products▁made▁from▁animals,▁such▁as▁leather,▁wool,▁and▁cosmetics▁tested▁on▁animals,▁embracing▁a▁philosophy▁that▁seeks▁to▁reduce▁harm▁to▁animals▁and▁promote▁environmental▁sustainability
How▁did▁Abraham▁Lincoln▁die? model Abraham▁Lincoln▁died▁on▁April▁15,▁1865,▁as▁a▁result▁of▁being▁assassinated▁by▁John▁Wilkes▁Booth.▁Booth▁shot▁Lincoln▁at▁Ford's▁Theatre▁in▁Washington,▁D.C.,▁during▁a▁performance▁of▁"Our▁American▁Cousin."▁Lincoln▁was▁taken▁to▁a▁nearby▁boarding▁house,▁where▁he▁succumbed▁to▁his▁injuries▁early▁the▁next▁morning.▁His▁assassination▁was▁a▁significant▁moment▁in▁American▁history,▁leading▁to▁national▁mourning▁and▁significant▁political▁repercussions
List▁five▁titles▁by▁Mary▁Shelley model 1.▁Frankenstein;▁or,▁The▁Modern▁Prometheus▁▁ 2.▁The▁Last▁Man▁▁ 3.▁Mathilda▁▁ 4.▁Valperga▁▁ 5.▁L
Jack▁goes▁up▁three▁flights▁of▁stairs,▁then▁down▁six▁flights▁of▁stairs.▁If▁each▁flight▁of▁stairs▁has▁12▁steps▁that▁each▁each▁8▁inches▁high,▁how▁many▁feet▁further▁down▁is▁Jack▁than▁when▁he▁started? model Jack▁is▁three▁flights▁up▁and▁then▁goes▁down▁six▁flights.▁This▁means▁he▁is▁three▁flights▁lower▁than▁he▁started.▁Since▁each▁flight▁consists▁of▁twelve▁steps,▁he▁descends▁a▁total▁of▁seventy-two▁steps.▁Each▁step▁is▁eight▁inches▁high.▁Thus,▁Jack▁is▁further▁down▁by▁a▁total▁of▁five▁and▁a▁half▁feet▁compared▁to▁his▁starting▁point
Tell▁me▁about▁cockney▁rhyming▁slang model Cockney▁rhyming▁slang▁is▁a▁form▁of▁English▁slang▁originating▁from▁the▁East▁End▁of▁London.▁It▁involves▁substituting▁a▁word▁or▁phrase▁with▁a▁phrase▁that▁rhymes▁with▁it,▁often▁dropping▁the▁rhyming▁part.▁For▁example,▁"stairs"▁becomes▁"apples▁and▁pears,"▁but▁one▁would▁typically▁just▁say▁"apples."▁It’s▁a▁playful▁way▁of▁speaking▁and▁often▁used▁for▁humor▁or▁secrecy.▁Some▁famous▁examples▁include▁"trouble▁and▁strife"▁for▁"wife"▁and▁"butcher's▁hook"▁for▁"look."▁The▁slang▁has▁evolved▁over▁time▁and▁even▁influenced▁popular▁culture,▁making▁it▁an▁enduring▁aspect▁of▁London▁dialect
Subsample Interval 7
What▁is▁the▁FDIC? model The▁FDIC,▁or▁Federal▁Deposit▁Insurance▁Corporation,▁is▁an▁independent▁agency▁of▁the▁United▁States▁government▁that▁was▁created▁in▁1933▁in▁response▁to▁the▁thousands▁of▁bank▁failures▁that▁occurred▁in▁the▁1920s▁and▁early▁1930s.▁Its▁primary▁purpose▁is▁to▁maintain▁public▁confidence▁in▁the▁nation’s▁financial▁system▁by▁providing▁deposit▁insurance▁to▁depositors▁in▁U.S.▁commercial▁banks▁and▁savings▁institutions.▁The▁FDIC▁insures▁deposits▁up▁to▁a▁certain▁limit▁per▁depositor,▁per▁insured▁bank,▁ensuring▁that▁even▁if▁a▁bank▁fails,▁depositors▁do▁not▁lose▁their▁money▁up▁to▁that▁insured▁amount.▁In
What▁is▁Herd▁Immunity? model Herd▁immunity▁is▁a▁form▁of▁protection▁from▁infectious▁diseases▁that▁occurs▁when▁a▁large▁percentage▁of▁a▁population▁becomes▁immune,▁either▁through▁vaccination▁or▁previous▁infections.▁When▁a▁significant▁portion▁of▁individuals▁within▁a▁community▁is▁immune,▁the▁spread▁of▁the▁disease▁is▁limited,▁which▁provides▁indirect▁protection▁to▁those▁who▁are▁not▁immune,▁such▁as▁individuals▁who▁cannot▁be▁vaccinated▁due▁to▁health▁reasons.▁This▁communal▁immunity▁can▁help▁prevent▁outbreaks,▁reducing▁the▁overall▁incidence▁of▁illness▁and▁ultimately▁safeguarding▁public▁health
What▁is▁it▁called▁when▁a▁river▁of▁water▁falls▁off▁a▁cliff▁and▁creates▁a▁shower? model It's▁called▁a▁waterfall
What▁is▁the▁state▁flower▁of▁California? model The▁state▁flower▁of▁California▁is▁the▁California▁poppy
Which▁rock▁star▁is▁known▁to▁consume▁heavy▁amounts▁of▁drugs▁and▁it▁surprising▁he▁has▁live▁this▁long? model One▁rock▁star▁often▁associated▁with▁heavy▁drug▁use▁and▁who▁has▁surprisingly▁lived▁long▁is▁Keith▁Richards▁of▁The▁Rolling▁Stones.▁His▁notorious▁lifestyle▁and▁disregard▁for▁health▁have▁made▁headlines▁for▁decades,▁yet▁he▁continues▁to▁perform▁and▁tour,▁much▁to▁the▁amazement▁of▁fans▁and▁the▁music▁industry▁alike
Believe▁it▁or▁not,▁Jimi▁Hendrix▁only▁had▁one▁Top▁40▁hit.▁Which▁song▁was▁it? model The▁song▁that▁Jimi▁Hendrix▁had▁as▁his▁only▁Top▁40▁hit▁was▁"All▁Along▁the▁Watchtower
What▁fruit▁is▁wine▁produced▁from? model Wine▁is▁produced▁from▁grapes
Who▁is▁the▁winningest▁coach▁in▁Seattle▁Seahawks▁history? model Pete▁Carroll▁is▁the▁winningest▁coach▁in▁Seattle▁Seahawks▁history
How▁did▁actor▁James▁Dean▁die? model James▁Dean▁died▁in▁a▁car▁accident▁on▁September▁30,▁1955.▁He▁was▁driving▁his▁Porsche▁550▁Spyder▁when▁he▁collided▁with▁another▁vehicle▁at▁an▁intersection▁in▁Cholame,▁California.▁Dean▁was▁just▁24▁years▁old▁at▁the▁time▁of▁his▁death,▁and▁the▁tragic▁incident▁has▁since▁become▁a▁significant▁part▁of▁his▁legend▁as▁a▁cultural▁icon
What▁was▁the▁first▁full-length▁animated▁movie▁that▁Disney▁released? model The▁first▁full-length▁animated▁movie▁that▁Disney▁released▁was▁"Snow▁White▁and▁the▁Seven▁Dwarfs,"▁which▁premiered▁in▁1937