[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"transcript-16633a37-b08a-4ea9-aeec-486208e2793a-es":3,"footer-top-topics-es":199,"transcript-poster-16633a37-b08a-4ea9-aeec-486208e2793a":254,"footer-top-speakers-es":255},{"falas":4,"lang":186,"meta":187},[5,15,22,29,36,43,49,56,63,70,77,83,88,94,100,105,111,116,121,127,133,140,145,151,157,163,168,174,180],{"idx":6,"utterance_id":7,"speaker_name":8,"speaker_slug":9,"text":10,"start_s":11,"end_s":12,"word_count":13,"indexable":14},0,"53709","Tarcisio","tarcisio","Desafío del gobernador y la cuestión de hoy es del ITA.",1.34,4.32,10,false,{"idx":16,"utterance_id":17,"speaker_name":8,"speaker_slug":9,"text":18,"start_s":19,"end_s":20,"word_count":21,"indexable":14},1,"53710","Y solo recordando, el ITA ya tiene sus inscripciones abiertas, ya publicó la convocatoria.",4.86,8.98,16,{"idx":23,"utterance_id":24,"speaker_name":8,"speaker_slug":9,"text":25,"start_s":26,"end_s":27,"word_count":28,"indexable":14},2,"53711","La primera fase: la prueba en septiembre; la segunda fase: la prueba en octubre.",9.18,12.34,12,{"idx":30,"utterance_id":31,"speaker_name":8,"speaker_slug":9,"text":32,"start_s":33,"end_s":34,"word_count":35,"indexable":14},3,"53712","Y la mejor manera de prepararse ahora es hacer preguntas de años anteriores.",12.6,16.64,14,{"idx":37,"utterance_id":38,"speaker_name":8,"speaker_slug":9,"text":39,"start_s":40,"end_s":41,"word_count":42,"indexable":14},4,"53713","Es entrenar, entrenar, entrenar, entrenar.",16.86,18.48,5,{"idx":42,"utterance_id":44,"speaker_name":8,"speaker_slug":9,"text":45,"start_s":46,"end_s":47,"word_count":48,"indexable":14},"53714","Y aquí una preguntita de matemática: sea A la sumatoria de k igual a 0 hasta n de la combinación de n sobre k que multiplica 3 elevado a k, y B la sumatoria de k igual a 0 hasta n menos 1 de la combinación de n-1 sobre k que multiplica 11 elevado a k; si el log de B menos el log de A es igual al log de 6561 sobre 4, entonces n es igual a, ¿vamos a resolver?",18.6,41,77,{"idx":50,"utterance_id":51,"speaker_name":8,"speaker_slug":9,"text":52,"start_s":53,"end_s":54,"word_count":55,"indexable":14},6,"53715","Bueno, lo primero que necesito saber es que A es igual a la combinación de n sobre 0 que multiplica 3 elevado a 0, más la combinación de n sobre 1 que multiplica 3 elevado a 1, más la combinación de n sobre n que multiplica 3 elevado a n. ¿Y esto qué aspecto tiene?",41.2,60.88,60,{"idx":57,"utterance_id":58,"speaker_name":8,"speaker_slug":9,"text":59,"start_s":60,"end_s":61,"word_count":62,"indexable":14},7,"53716","Con aspecto de un binomio de la forma (1 + 3)^n. ¿Será que eso es verdad?",61.38,67.34,17,{"idx":64,"utterance_id":65,"speaker_name":8,"speaker_slug":9,"text":66,"start_s":67,"end_s":68,"word_count":69,"indexable":14},8,"53717","Observe, este binomio aquí, (1 + 3)^n, puede desarrollarse así: n sobre 0 que multiplica 1 elevado a n veces 3 elevado a 0, más n sobre 1 que multiplica 1 elevado a n-1 veces 3 elevado a 1, más n sobre n que multiplica 1 elevado a 0 veces 3 elevado a n. Como 1 elevado a cualquier número es igual a 1, tengo que esto es exactamente igual a eso, y, por lo tanto, esto es igual a 1 + 3 elevado a n, lo que significa que A es igual a 4 elevado a n. Un razonamiento análogo puede hacerse para B. B será igual a la combinación de n-1 sobre 0 por 11 elevado a 0, más la combinación de n-1 sobre 1 por 11 elevado a 1, más la combinación de n-1 sobre n-1 por 11 elevado a (n-1).",67.52,129.46,169,{"idx":71,"utterance_id":72,"speaker_name":8,"speaker_slug":9,"text":73,"start_s":74,"end_s":75,"word_count":76,"indexable":14},9,"53718","Esto será igual a 1 + 11 elevado a (n-1), que será igual a 12 elevado a (n-1).",129.68,138.98,25,{"idx":13,"utterance_id":78,"speaker_name":8,"speaker_slug":9,"text":79,"start_s":80,"end_s":81,"word_count":82,"indexable":14},"53719","Al descubrir A y B, puedo aplicar la siguiente propiedad.",139.36,143.54,11,{"idx":82,"utterance_id":84,"speaker_name":8,"speaker_slug":9,"text":85,"start_s":86,"end_s":87,"word_count":23,"indexable":14},"53720","Bueno, logaritmos.",143.56,144.82,{"idx":28,"utterance_id":89,"speaker_name":8,"speaker_slug":9,"text":90,"start_s":91,"end_s":92,"word_count":93,"indexable":14},"53721","Sé que el log de B menos el log de A, estando en la misma base, será igual al log de B sobre A. Y si sé que el log de B sobre A es igual al log de 6561 sobre 4, sé que B sobre A es igual a 6561 sobre 4.",145.24,168.08,57,{"idx":95,"utterance_id":96,"speaker_name":8,"speaker_slug":9,"text":97,"start_s":98,"end_s":99,"word_count":30,"indexable":14},13,"53722","¿Quién es B?",168.2,169.44,{"idx":35,"utterance_id":101,"speaker_name":8,"speaker_slug":9,"text":102,"start_s":103,"end_s":104,"word_count":50,"indexable":14},"53723","12 elevado a (n-1).",169.46,172.72,{"idx":106,"utterance_id":107,"speaker_name":8,"speaker_slug":9,"text":108,"start_s":109,"end_s":110,"word_count":50,"indexable":14},15,"53724","¿Qué es 4 elevado a n?",172.84,175.68,{"idx":21,"utterance_id":112,"speaker_name":8,"speaker_slug":9,"text":113,"start_s":114,"end_s":115,"word_count":71,"indexable":14},"53725","Esto va a ser igual a 6561 sobre 4.",175.94,180.3,{"idx":62,"utterance_id":117,"speaker_name":8,"speaker_slug":9,"text":118,"start_s":119,"end_s":120,"word_count":57,"indexable":14},"53726","Ahí puedo hacer algunas simplificaciones, ¿no?",180.68,182.46,{"idx":122,"utterance_id":123,"speaker_name":8,"speaker_slug":9,"text":124,"start_s":125,"end_s":126,"word_count":82,"indexable":14},18,"53727","Puedo manipular aquí y decir: mira, ¿qué es el 12?",182.56,184.82,{"idx":128,"utterance_id":129,"speaker_name":8,"speaker_slug":9,"text":130,"start_s":131,"end_s":132,"word_count":64,"indexable":14},19,"53728","¿El 12 no es 3 por 4?",184.86,186.98,{"idx":134,"utterance_id":135,"speaker_name":8,"speaker_slug":9,"text":136,"start_s":137,"end_s":138,"word_count":139,"indexable":14},20,"53729","Entonces puedo decir que esto es 3 elevado a (n-1) veces 4 elevado a (n-1).",187.28,194.12,21,{"idx":139,"utterance_id":141,"speaker_name":8,"speaker_slug":9,"text":142,"start_s":143,"end_s":144,"word_count":71,"indexable":14},"53730","Y aquí abajo, ¿qué es 4 elevado a n?",194.2,196.18,{"idx":146,"utterance_id":147,"speaker_name":8,"speaker_slug":9,"text":148,"start_s":149,"end_s":150,"word_count":95,"indexable":14},22,"53731","Puedo decir que es 4 elevado a (n-1) por 4.",196.5,201.3,{"idx":152,"utterance_id":153,"speaker_name":8,"speaker_slug":9,"text":154,"start_s":155,"end_s":156,"word_count":62,"indexable":14},23,"53732","Esto será igual a 6561 sobre 4, que en realidad es 3 elevado a 8 sobre 4.",201.5,207.7,{"idx":158,"utterance_id":159,"speaker_name":8,"speaker_slug":9,"text":160,"start_s":161,"end_s":162,"word_count":146,"indexable":14},24,"53733","Puedo cancelar este 4 aquí con ese 4 aquí, puedo cancelar este 4 menos 1 aquí con ese 4 menos 1 aquí.",208.36,213.38,{"idx":76,"utterance_id":164,"speaker_name":8,"speaker_slug":9,"text":165,"start_s":166,"end_s":167,"word_count":30,"indexable":14},"53734","¿Qué sobra?",213.72,214.16,{"idx":169,"utterance_id":170,"speaker_name":8,"speaker_slug":9,"text":171,"start_s":172,"end_s":173,"word_count":35,"indexable":14},26,"53735","3 elevado a (n-1) será igual a 3 elevado a 8.",214.18,219.66,{"idx":175,"utterance_id":176,"speaker_name":8,"speaker_slug":9,"text":177,"start_s":178,"end_s":179,"word_count":106,"indexable":14},27,"53736","Luego, n menos 1 es igual a 8 y, por lo tanto, n es igual a 9.",219.92,225.46,{"idx":181,"utterance_id":182,"speaker_name":8,"speaker_slug":9,"text":183,"start_s":184,"end_s":185,"word_count":37,"indexable":14},28,"53737","Esa es la respuesta.",225.64,227.7,"es",{"job_id":188,"title":189,"source_url":190,"platform":191,"content_type":192,"published_at":193,"duration_sec":194,"n_classified":195,"speakers":196},"16633a37-b08a-4ea9-aeec-486208e2793a","Tarcísio Gomes de Freitas - Não existe atalho fácil para passar no vestibular. Mas existe um bom ...","https:\u002F\u002Fx.com\u002Ftarcisiogdf\u002Fstatus\u002F2075948855166751012","twitter","video","2026-07-11T14:22:30Z",227.718125,29,[197],{"name":8,"slug":9,"photo_url":198,"n_falas":195},"\u002Fprofiles\u002Ftarcisio\u002Fphoto.png",{"limit":13,"offset":6,"topics":200,"total":253},[201,206,212,217,223,228,233,238,243,248],{"label":202,"n_speakers":169,"n_utterances":203,"n_videos":204,"slug":205},"Seguridad Nacional",2695,190,"seguranca-nacional",{"label":207,"n_speakers":208,"n_utterances":209,"n_videos":210,"slug":211},"Educación",32,1685,229,"educacao",{"label":213,"n_speakers":152,"n_utterances":214,"n_videos":215,"slug":216},"Seguridad pública y orden",1580,244,"seguranca-publica-e-ordem",{"label":218,"n_speakers":219,"n_utterances":220,"n_videos":221,"slug":222},"Combate a la Impunidad",33,1469,292,"combate-a-impunidade",{"label":224,"n_speakers":208,"n_utterances":225,"n_videos":226,"slug":227},"Política monetaria",1448,303,"politica-monetaria",{"label":229,"n_speakers":152,"n_utterances":230,"n_videos":231,"slug":232},"Poder judicial",846,149,"poder-judiciario",{"label":234,"n_speakers":181,"n_utterances":235,"n_videos":236,"slug":237},"Servicio Público",788,178,"servico-publico",{"label":239,"n_speakers":76,"n_utterances":240,"n_videos":241,"slug":242},"Salud Pública \u002F Seguridad Pública",756,139,"saude-publica-seguranca-publica",{"label":244,"n_speakers":181,"n_utterances":245,"n_videos":246,"slug":247},"Política social",684,197,"politica-social",{"label":249,"n_speakers":146,"n_utterances":250,"n_videos":251,"slug":252},"Reforma fiscal",671,134,"reforma-fiscal",625,"https:\u002F\u002Fpbs.twimg.com\u002Famplify_video_thumb\u002F2075948587830083585\u002Fimg\u002FP7RTakSjq51xvMYJ.jpg?name=orig",{"limit":13,"offset":6,"speakers":256,"total":358},[257,271,283,292,302,313,321,329,336,347],{"slug":258,"name":259,"party":260,"role":260,"state":260,"n_speeches":261,"consistency_score":6,"top_topics":262,"photo_url":266,"bio_short":260,"wikidata_id":267,"mandate_status":268,"social_links":269},"renan-santos","Renan Santos","",22525,[263,264,265],"Abuso de Autoridad","Acciones afirmativas","Acción ejecutiva","\u002Fprofiles\u002Frenan-santos\u002Fphoto.png","Q51882553","none",{"twitter":270},"@RenanSantosMBL",{"slug":272,"name":273,"party":260,"role":260,"state":274,"n_speeches":275,"consistency_score":6,"top_topics":276,"photo_url":279,"bio_short":260,"wikidata_id":280,"mandate_status":268,"social_links":281},"romeu-zema","Romeu Zema","MG",12888,[265,277,278],"Activismo político","Afiliación Partidaria","\u002Fprofiles\u002Fromeu-zema\u002Fphoto.png","Q57092113",{"twitter":282},"@RomeuZema",{"slug":284,"name":285,"party":260,"role":260,"state":260,"n_speeches":286,"consistency_score":6,"top_topics":287,"bio_short":260,"mandate_status":268,"social_links":289},"pablo-marcal","Pablo Marçal",12772,[288,265,277],"Acción Humanitaria",{"twitter":290,"youtube":291},"@pablomarcal","https:\u002F\u002Fwww.youtube.com\u002F@pablomarcall",{"slug":293,"name":294,"party":260,"role":260,"state":295,"n_speeches":296,"consistency_score":6,"top_topics":297,"bio_short":260,"wikidata_id":300,"mandate_status":268,"social_links":301},"fernando-haddad","Fernando Haddad","SP",12647,[278,298,299],"Agricultura y agronegocio","Alianzas políticas","Q3069485",{},{"slug":303,"name":304,"party":260,"role":260,"state":305,"n_speeches":306,"consistency_score":6,"top_topics":307,"photo_url":309,"bio_short":260,"wikidata_id":310,"mandate_status":268,"social_links":311},"ronaldo-caiado","Ronaldo Caiado","GO",12538,[264,278,308],"Agenda Pública","\u002Fprofiles\u002Fronaldo-caiado\u002Fphoto.png","Q10364348",{"twitter":312},"@ronaldocaiado",{"slug":9,"name":8,"party":260,"role":314,"state":295,"n_speeches":315,"consistency_score":6,"top_topics":316,"photo_url":198,"bio_short":260,"wikidata_id":318,"mandate_status":268,"social_links":319},"Governador",11298,[317,278,308],"Actos Legislativos Locales","Q60392579",{"twitter":320},"tarcisiogdf",{"slug":322,"name":323,"party":260,"role":260,"state":260,"n_speeches":324,"consistency_score":6,"top_topics":325,"photo_url":326,"bio_short":260,"wikidata_id":327,"mandate_status":268,"social_links":328},"luis-inacio-lula-da-silva","Luis Inacio Lula da Silva",10531,[277,278,298],"\u002Fprofiles\u002Fluis-inacio-lula-da-silva\u002Fphoto.png","Q37181",{},{"slug":330,"name":331,"party":260,"role":260,"state":260,"n_speeches":332,"consistency_score":6,"top_topics":333,"bio_short":260,"mandate_status":268,"social_links":335},"augusto-cury","Augusto Cury",8912,[265,298,334],"Agro y desarrollo regional",{},{"slug":337,"name":338,"party":260,"role":260,"state":295,"n_speeches":339,"consistency_score":6,"top_topics":340,"photo_url":343,"bio_short":260,"wikidata_id":344,"mandate_status":268,"social_links":345},"kim-kataguiri","Kim Kataguiri",8748,[341,265,342],"Abono Salarial","Activismo judicial","\u002Fprofiles\u002Fkim-kataguiri\u002Fphoto.png","Q21715169",{"twitter":346},"@KimKataguiri",{"slug":348,"name":349,"party":260,"role":260,"state":350,"n_speeches":351,"consistency_score":6,"top_topics":352,"photo_url":354,"bio_short":260,"wikidata_id":355,"mandate_status":268,"social_links":356},"flavio-bolsonaro","Flavio Bolsonaro","RJ",8066,[353,265,277],"Acción de oposición","\u002Fprofiles\u002Fflavio-bolsonaro\u002Fphoto.png","Q10283057",{"twitter":357},"@FlavioBolsonaro",37]