Concept: mathematical expressions and symbols related to functions and algorithms

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cks▁from▁the▁three▁full▁cans? model Let▁C▁represent▁the▁initial▁count▁of▁thumbtacks▁in▁each▁can.▁After▁Lorenzo▁performs▁the
▁bag▁weigh? model Let▁S▁represent▁the▁weight▁of▁sand▁in▁the▁bag▁when▁full.▁Since▁the▁bag▁is▁filled▁to▁80
▁total▁house▁rent? model Let▁P▁represent▁Purity's▁share.▁Then,▁Sheila's▁share▁can▁be▁expressed▁as▁S▁=▁
▁many▁stickers▁will▁each▁student▁receive? model Let▁G▁represent▁the▁number▁of▁gold▁stickers,▁S▁the▁number▁of▁silver▁stickers,▁and▁B
▁bits▁did▁Grandma▁put▁on▁her▁salad? model Let▁M▁represent▁mushrooms.▁Then,▁M▁=▁3.▁ Cherry▁tomatoes▁(
▁white▁bellies? model Let▁M▁represent▁the▁total▁number▁of▁minnows▁in▁the▁pond.▁Given▁that▁40%▁of▁the
▁months▁of▁work? model Let▁E▁represent▁total▁earnings,▁with▁W▁as▁the▁earnings▁per▁hour,▁H▁as▁the▁number▁of▁hours▁worked
▁in▁Liza's▁account? model Let▁C▁represent▁Liza's▁checking▁account▁balance.▁We▁can▁express▁Liza's▁transactions▁as▁a
▁did▁Annie▁have▁at▁first? model Let▁M▁represent▁the▁initial▁amount▁of▁money▁Annie▁had.▁The▁total▁cost▁of▁the▁hamburgers▁can▁be
Subsample Interval 1
5▁days? model Let▁\(▁b▁\)▁represent▁the▁number▁of▁bags▁delivered,▁defined▁by▁the▁function▁\(▁b(t)▁=
▁cost? model Let▁\(▁S▁\)▁represent▁the▁cost▁of▁the▁scallops.▁Given▁that▁the▁weight▁per▁scallop▁is▁\(▁\frac{
? model Let▁\(▁B▁\)▁represent▁the▁total▁bags▁needed▁to▁fulfill▁the▁order,▁\(▁B▁=▁60▁\).▁Let
▁per▁minute? model Let▁W▁be▁the▁set▁of▁words▁typed▁per▁minute▁by▁each▁employee,▁where▁W▁=▁{Rudy:▁6
▁the▁cost▁of▁each▁art▁book? model Let▁M▁be▁the▁cost▁of▁each▁math▁book,▁A▁be▁the▁cost▁of▁each▁art▁book
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▁T▁=▁240,▁representing▁the▁total▁amount.▁Define▁S▁as▁the▁amount▁Samuel▁receives,▁where▁S▁=▁(3/4)▁*▁T
model Let▁f(t)▁represent▁the▁total▁downloaded▁MB▁at▁time▁t,▁where▁f(t)▁=▁310▁+
▁have▁in▁her▁house? model Let▁\(▁B▁=▁10▁\)▁(number▁of▁breeding▁rabbits).▁▁ First▁spring▁kittens
's▁class? model Let▁\(▁S_f▁\)▁be▁the▁number▁of▁students▁in▁Mrs.▁Finley's▁class,▁where
,▁how▁much▁money▁has▁she▁lost? model Let▁\(▁M_0▁\)▁be▁the▁initial▁amount▁of▁money▁Abigail▁had,▁\(
Subsample Interval 3
▁pages▁will▁she▁read? model Let▁P(m)▁=▁5▁+▁10▁represent▁the▁total▁pages▁read▁in▁one▁day
▁read▁in▁6▁weeks? model Let▁J(t)▁=▁80t▁and▁B(t)▁=▁30
▁employee▁is▁paid▁monthly model Let▁R▁=▁400000▁(monthly▁revenue).▁▁ Tax▁=▁R▁*▁
▁glasses.▁How▁many▁females▁wear▁glasses? model Let▁P▁=▁Total▁population▁=▁5000▁▁ Let▁M▁=▁Males
step.▁ First,▁let's▁consider▁Michael’s▁age▁as▁\(x\).▁When▁Michael▁was▁a▁year▁younger,▁he▁was▁\(x
Subsample Interval 4
Edmonton▁is▁220▁kilometers▁north▁of▁Red▁Deer.▁Calgary▁is▁110▁kilometers▁south▁of▁Red▁Deer.▁If▁you▁travel▁at▁110▁kilometers▁per▁hour,▁how▁long▁will▁it▁take▁to▁get▁from▁Edmonton▁to▁Calgary? model To▁travel▁from▁Edmonton▁to▁Calgary,▁you▁first▁need▁to▁determine▁the▁distance▁between▁the▁two▁cities.▁Since▁Edmonton▁is▁220▁kilometers▁north▁of▁Red▁Deer▁and▁Calgary▁is▁110▁kilometers▁south▁of▁Red▁Deer,▁you▁can▁find▁the▁total▁distance▁by▁adding▁the▁two▁distances▁together.▁ Thus,▁the▁distance▁from▁Edmonton▁to▁Calgary▁is▁220▁kilometers▁plus▁110▁kilometers,▁which▁equals▁330▁kilometers.▁ Now,▁if▁you▁are▁traveling▁at▁a▁speed▁of▁110▁kilometers▁per▁hour,▁you▁can▁find▁the▁travel▁time▁by▁dividing▁the▁total▁distance▁by▁the▁speed.▁ So,
▁where▁the▁river▁is▁80▁yards▁wide? model Let▁w(x)▁=▁50▁+▁0.2x
Write▁a▁Python▁program▁to▁optimize▁the▁given▁binary▁search▁tree model def▁optimize_bst(root): ▁▁▁▁def▁inorder(node): ▁▁▁▁▁▁▁▁return▁inorder(node.left)▁+▁[node.val]▁+▁inorder(node.right)▁if▁node▁else▁[] ▁▁▁▁def▁build_balanced_bst(sorted_vals): ▁▁▁▁▁▁▁▁if▁not▁sorted_vals: ▁▁▁▁▁▁▁▁▁▁▁▁return▁None ▁▁▁▁▁▁▁▁mid▁=▁len(sorted_vals)▁//▁2 ▁▁▁▁▁▁▁▁node▁=▁TreeNode(sorted_vals[mid]) ▁▁▁▁▁▁▁▁node.left▁=▁build_balanced_bst(sorted_vals[:mid]) ▁▁▁▁▁▁▁▁node.right▁=▁build_balanced_bst(sorted_vals[mid▁+▁
Write▁a▁Python▁program▁to▁check▁whether▁a▁given▁number▁is▁an▁Armstrong▁number.▁Armstrong▁numbers▁are▁the▁numbers▁that▁are▁equal▁to▁the▁sum▁of▁the▁cubes▁of▁their▁individual▁digits model def▁is_armstrong_number(num): ▁▁▁▁sum_of_cubes▁=▁sum(int(digit)▁**▁3▁for▁digit▁in▁str(num)) ▁▁▁▁return▁sum_of_cubes▁==▁num #▁Example▁of▁using▁the▁function number▁=▁int(input("Enter▁a▁number:▁")) if▁is_armstrong_number(number): ▁▁▁▁print(f"{number}▁is▁an▁Armstrong▁number.") else: ▁▁▁▁print(f"{number}▁is▁not▁an▁Armstrong▁number
Create▁an▁algorithm▁to▁convert▁temperatures▁from▁Celsius▁to▁Fahrenheit▁in▁Python model def▁celsius_to_fahrenheit(celsius): ▁▁▁▁fahrenheit▁=▁(celsius▁*▁9/5)▁+▁32 ▁▁▁▁return▁fahrenheit #▁Example▁usage temperature_in_celsius▁=▁25 temperature_in_fahrenheit▁=▁celsius_to_fahrenheit(temperature_in_celsius) print(f"{temperature_in_celsius}°C▁is▁equal▁to▁{temperature_in_fahrenheit}°F
Subsample Interval 5
What▁is▁the▁Genomie▁Aggregation▁Databaise▁(genomAD)? model The▁Genome▁Aggregation▁Database▁(gnomAD)▁is▁a▁resource▁that▁aggregates▁and▁harmonizes▁genetic▁variant▁data▁from▁multiple▁large-scale▁sequencing▁projects.▁It▁aims▁to▁provide▁comprehensive▁insights▁into▁human▁genetic▁variation,▁serving▁as▁a▁critical▁tool▁for▁researchers▁studying▁the▁genetic▁basis▁of▁diseases.▁gnomAD▁includes▁data▁on▁millions▁of▁individuals▁from▁diverse▁populations,▁which▁helps▁in▁understanding▁the▁frequency▁and▁distribution▁of▁genetic▁variants▁across▁different▁demographics.▁By▁providing▁a▁centralized▁database,▁gnomAD▁supports▁genomic▁research▁and▁helps▁in▁interpreting▁genetic▁variants▁in▁the▁context▁of▁health▁and▁disease
What▁generation▁is▁the▁best▁generation? model The▁best▁generation▁is▁often▁a▁matter▁of▁personal▁perspective,▁influenced▁by▁experiences,▁cultural▁milestones,▁and▁technological▁advancements.▁Many▁might▁argue▁that▁the▁current▁generation▁has▁access▁to▁incredible▁tools▁and▁knowledge,▁while▁others▁might▁feel▁nostalgia▁for▁the▁resilience▁and▁values▁of▁previous▁generations.▁Ultimately,▁each▁generation▁has▁its▁unique▁strengths▁and▁challenges▁that▁contribute▁to▁the▁tapestry▁of▁human▁history
What▁is▁the▁difference▁between▁Angular▁and▁AngularJS? model AngularJS▁is▁the▁original▁web▁application▁framework▁developed▁by▁Google,▁released▁in▁2010,▁primarily▁focusing▁on▁providing▁a▁way▁to▁build▁dynamic▁single-page▁applications▁(SPAs)▁using▁HTML,▁CSS,▁and▁JavaScript.▁It▁utilizes▁the▁Model-View-Controller▁(MVC)▁architecture▁and▁relies▁on▁concepts▁like▁two-way▁data▁binding▁and▁dependency▁injection. Angular,▁often▁referred▁to▁as▁Angular▁2+,▁is▁a▁complete▁rewrite▁of▁AngularJS▁and▁was▁released▁in▁2016.▁It▁introduced▁significant▁changes▁and▁improvements,▁including▁enhanced▁performance,▁a▁more▁modular▁architecture,▁and▁the▁use▁of▁TypeScript,▁which▁adds▁strong▁typing▁to▁the
What▁is▁the▁holiday▁of▁Passover▁about? model Passover,▁or▁Pesach▁in▁Hebrew,▁is▁a▁significant▁Jewish▁holiday▁that▁commemorates▁the▁Exodus,▁the▁liberation▁of▁the▁Israelites▁from▁slavery▁in▁ancient▁Egypt.▁It▁celebrates▁the▁themes▁of▁freedom,▁redemption,▁and▁the▁struggle▁for▁liberation.▁During▁Passover,▁families▁gather▁for▁a▁special▁meal▁called▁the▁Seder,▁where▁they▁recount▁the▁story▁of▁the▁Exodus,▁eat▁symbolic▁foods,▁and▁engage▁in▁rituals▁that▁highlight▁the▁importance▁of▁remembering▁this▁pivotal▁moment▁in▁Jewish▁history.▁The▁holiday▁also▁involves▁the▁prohibition▁of▁leavened▁bread,▁symbolizing▁the▁haste▁with▁which▁the▁Israelites▁left▁Egypt.▁Overall,▁Passover▁is▁a▁time▁for▁reflection,▁gratitude,▁and▁celebration▁of▁cultural
Tom▁and▁Tim▁both▁brought▁4,▁six-sided▁dice▁to▁school.▁How▁many▁total▁sides▁are▁there? model Each▁die▁has▁six▁sides,▁and▁since▁Tom▁and▁Tim▁each▁brought▁four▁dice,▁we▁first▁find▁the▁total▁number▁of▁dice▁they▁brought.▁Tom▁has▁4▁dice▁and▁Tim▁has▁4▁dice,▁which▁gives▁us▁a▁total▁of▁8▁dice.▁Now,▁since▁each▁die▁has▁6▁sides,▁we▁multiply▁the▁number▁of▁dice▁by▁the▁number▁of▁sides▁per▁die.▁Therefore,▁8▁dice▁with▁6▁sides▁each▁results▁in▁a▁total▁of▁48▁sides
Subsample Interval 6
How▁old▁is▁the▁world's▁oldest▁dog? model As▁of▁October▁2023,▁the▁world's▁oldest▁dog▁is▁a▁Dachshund▁named▁TobyKeith,▁who▁is▁recognized▁for▁reaching▁the▁impressive▁age▁of▁21▁years
What▁is▁a▁pot▁hole? model A▁pothole▁is▁a▁depressions▁or▁holes▁in▁a▁roadway▁surface▁caused▁by▁the▁deterioration▁of▁the▁pavement,▁often▁due▁to▁water▁infiltration,▁freezing,▁and▁thawing▁cycles,▁as▁well▁as▁heavy▁traffic.▁These▁defects▁can▁lead▁to▁safety▁hazards▁for▁vehicles▁and▁pedestrians▁alike,▁and▁they▁often▁result▁in▁costly▁repairs▁if▁not▁addressed▁promptly
What▁are▁the▁primary▁caused▁of▁fever? model Fever▁can▁be▁caused▁by▁a▁variety▁of▁factors,▁primarily▁including▁infections,▁such▁as▁bacterial,▁viral,▁and▁fungal▁infections.▁Other▁causes▁may▁include▁inflammatory▁conditions,▁heat▁exhaustion,▁certain▁medications,▁and▁underlying▁medical▁conditions▁like▁autoimmune▁diseases▁or▁cancers.▁Additionally,▁vaccinations▁can▁also▁induce▁a▁mild▁fever▁as▁a▁normal▁immune▁response
Name▁a▁few▁famous▁Dutch▁artists,▁and▁the▁respective▁movements▁for▁which▁they▁are▁known model Some▁famous▁Dutch▁artists▁include: 1.▁Vincent▁van▁Gogh▁-▁Post-Impressionism 2.▁Rembrandt▁van▁Rijn▁-▁Baroque 3.▁Piet▁Mondrian▁-▁De▁Stijl 4.▁Jan▁Vermeer▁-▁Baroque 5.▁Hieronymus▁Bosch▁-▁Northern
What▁are▁the▁symptoms▁and▁causes▁of▁migraine▁headaches? model Migraine▁headaches▁are▁often▁characterized▁by▁a▁range▁of▁symptoms▁including▁intense,▁pulsating▁pain▁typically▁localized▁to▁one▁side▁of▁the▁head.▁The▁pain▁can▁last▁from▁a▁few▁hours▁to▁several▁days.▁Other▁common▁symptoms▁include▁sensitivity▁to▁light▁and▁sound,▁nausea,▁vomiting,▁and▁sometimes▁even▁visual▁disturbances▁known▁as▁aura,▁which▁can▁involve▁seeing▁flashes▁of▁light▁or▁experiencing▁blind▁spots. The▁exact▁causes▁of▁migraines▁are▁not▁fully▁understood,▁but▁they▁are▁believed▁to▁result▁from▁a▁combination▁of▁genetic,▁environmental,▁and▁neurobiological▁factors.▁Certain▁triggers▁can▁also▁contribute▁to▁the▁onset▁of▁migraines,▁such▁as▁hormonal▁changes,▁stress,▁certain▁foods▁and▁drinks,▁changes
Subsample Interval 7
Which▁is▁the▁albino▁direwolf▁in▁Game▁of▁Thrones? model The▁albino▁direwolf▁in▁Game▁of▁Thrones▁is▁named▁Ghost.▁He▁is▁the▁pet▁of▁Jon▁Snow▁and▁is▁known▁for▁his▁white▁fur▁and▁red▁eyes
What▁were▁the▁first▁ten▁states▁to▁enter▁the▁union▁of▁the▁United▁States? model The▁first▁ten▁states▁to▁enter▁the▁union▁of▁the▁United▁States▁are: 1.▁Delaware 2.▁Pennsylvania 3.▁New▁Jersey 4.▁Georgia 5.▁Connecticut 6.▁Massachusetts 7.▁Maryland 8.▁South▁Carolina 9.▁New▁Hampshire 10.
What▁is▁the▁nickname▁for▁Spokane,▁Washington? model The▁nickname▁for▁Spokane,▁Washington▁is▁"Lilac▁City
What▁is▁the▁name▁of▁the▁famous▁park▁in▁New▁York▁City? model Central
When▁was▁the▁Australian▁city▁Canberra▁founded? model Canberra▁was▁founded▁on▁March▁12,▁1913
Complete▁this▁saying:▁The▁early▁birds▁get▁the▁___ model The▁early▁birds▁get▁the▁worms
What▁American▁city▁is▁referred▁to▁as▁The▁City▁of▁Roses? model Portland,▁Oregon▁is▁referred▁to▁as▁The▁City▁of▁Roses
What▁was▁the▁turning▁point▁in▁the▁Pacific▁Theatre▁in▁WW2? model The▁turning▁point▁in▁the▁Pacific▁Theatre▁of▁World▁War▁II▁is▁widely▁considered▁to▁be▁the▁Battle▁of▁Midway,▁which▁took▁place▁in▁June▁1942.▁This▁decisive▁naval▁battle▁marked▁a▁significant▁shift▁in▁momentum▁from▁Japanese▁expansion▁to▁Allied▁dominance.▁Following▁Midway,▁the▁United▁States▁began▁a▁series▁of▁offensive▁operations▁that▁would▁eventually▁lead▁to▁the▁liberation▁of▁territories▁occupied▁by▁Japan▁and▁the▁eventual▁defeat▁of▁Japanese▁forces▁in▁the▁Pacific
Who▁won▁the▁WNBA▁championship▁in▁2018? model The▁Seattle▁Storm▁won▁the▁WNBA▁championship▁in▁2018
Which▁rock▁star▁is▁known▁to▁consume▁heavy▁amounts▁of▁drugs▁and▁it▁surprising▁he▁has▁live▁this▁long? model Keith▁Richards▁is▁a▁rock▁star▁famously▁known▁for▁his▁heavy▁drug▁use▁over▁the▁years.▁His▁lifestyle▁has▁become▁legendary,▁and▁many▁are▁surprised▁that▁he▁has▁managed▁to▁live▁as▁long▁as▁he▁has,▁given▁the▁excesses▁he▁has▁experienced