{"id":6086,"date":"2024-05-14T17:46:09","date_gmt":"2024-05-14T20:46:09","guid":{"rendered":"https:\/\/xequematenem.com.br\/blog\/?p=6086"},"modified":"2024-10-03T10:01:28","modified_gmt":"2024-10-03T13:01:28","slug":"questao-164-enem-ppl-2021","status":"publish","type":"post","link":"https:\/\/xequematenem.com.br\/blog\/questao-164-enem-ppl-2021\/","title":{"rendered":"Quest\u00e3o 164 &#8211; Enem PPL 2021"},"content":{"rendered":"\n<p class=\"has-text-align-center wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">O crescimento de uma popula\u00e7\u00e3o de microrganismos \u00e9 descrito pela express\u00e3o <strong>K(t) = 81.3<sup>t\/3<\/sup> + 2, em que K(t) indica a quantidade de microrganismos em um meio de cultura em fun\u00e7\u00e3o do tempo t. <\/strong>O gr\u00e1fico representa a evolu\u00e7\u00e3o de K em rela\u00e7\u00e3o ao tempo t.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img fetchpriority=\"high\" decoding=\"async\" width=\"415\" height=\"353\" src=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/05\/image-29.png\" alt=\"\" class=\"wp-image-6087\" title=\"\" srcset=\"https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/05\/image-29.png 415w, https:\/\/xequematenem.com.br\/blog\/wp-content\/uploads\/2024\/05\/image-29-300x255.png 300w\" sizes=\"(max-width: 415px) 100vw, 415px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Com base nos dados, o valor de m \u00e9:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A) 4\/3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">B) 7\/5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">C) 24\/5<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">D) 12<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">E) 81<\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size wp-block-paragraph\"><strong>Resolu\u00e7\u00e3o<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Para encontrar t quando K \u00e9 6563 basta substituir esse valor em K e m em t.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">6563 = 81.3<sup>m\/3<\/sup> + 2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">6561 = 81.3<sup>m\/3<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">6561\/81 = 3<sup>m\/3<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">81 = 3<sup>m\/3<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Sabemos que, fatorando, 81 = 3<sup>4<\/sup>, ent\u00e3o<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">3<sup>4<\/sup> = 3<sup>m\/3<\/sup><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">consequentemente, vamos igualar os expoentes<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">4 = m\/3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">m = 4.3<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">m = 12<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Alternativa D<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Assista \u00e0 resolu\u00e7\u00e3o com mais detalhes no v\u00eddeo abaixo!<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe title=\"Quest\u00e3o 164 - Caderno Azul | Fun\u00e7\u00e3o exponencial | MATEM\u00c1TICA ENEM PPL 2021\" width=\"800\" height=\"450\" data-src=\"https:\/\/www.youtube.com\/embed\/R7cenTzVWiY?list=PLrzB-zHlu3aAqV-y3sXkQB832I6nvGDZn\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen src=\"data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMSIgaGVpZ2h0PSIxIiB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciPjwvc3ZnPg==\" class=\"lazyload\" data-load-mode=\"1\"><\/iframe>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>O crescimento de uma popula\u00e7\u00e3o de microrganismos \u00e9 descrito pela express\u00e3o K(t) = 81.3t\/3 + 2, em que K(t) indica a quantidade de microrganismos em um meio de cultura em fun\u00e7\u00e3o do tempo t. O gr\u00e1fico representa a evolu\u00e7\u00e3o de K em rela\u00e7\u00e3o ao tempo t. Com base nos dados, o valor de m \u00e9: [&hellip;]<\/p>\n","protected":false},"author":11,"featured_media":6087,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[87,100],"tags":[],"area-do-conhecimento":[132,118],"assunto":[61],"class_list":["post-6086","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-questoes-ppl","category-2021-questoes-ppl","area-do-conhecimento-matematica","area-do-conhecimento-matematica-e-suas-tecnologias","assunto-funcao-exponencial"],"_links":{"self":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/6086","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/comments?post=6086"}],"version-history":[{"count":2,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/6086\/revisions"}],"predecessor-version":[{"id":18889,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/posts\/6086\/revisions\/18889"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/media\/6087"}],"wp:attachment":[{"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/media?parent=6086"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/categories?post=6086"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/tags?post=6086"},{"taxonomy":"area-do-conhecimento","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/area-do-conhecimento?post=6086"},{"taxonomy":"assunto","embeddable":true,"href":"https:\/\/xequematenem.com.br\/blog\/wp-json\/wp\/v2\/assunto?post=6086"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}