Questões - FUVEST 2020 | Gabarito e resoluções

(FUVEST - 2020)O cilindro de papelo central de uma fita crepe tem raio externo de 3 cm. A fita tem espessura de 0,01 cm e d 100 voltas completas. Considerando que, a cada volta, o raio externo do rolo aumentado no valor da espessura da fita, o comprimento total da fita de, aproximadamente,

(FUVEST - 2020)Um objeto é formado por 4 hastes rígidas conectadas em seus extremos por articulações, cujos centros são os vértices de um paralelogramo. As hastes movimentam‐se de tal forma que o paralelogramo permanece sempre no mesmo plano. A cada configuração desse objeto, associa‐se ,a medida do menor ângulo interno do paralelogramo. A área da região delimitada pelo paralelogramo quando é A. Para que a área da região delimitada pelo paralelogramo seja , o valor de é, necessariamente, igual a

(FUVEST - 2020 - 1a Fase)A menor esfera na qual um paraleleppedo reto‐retngulo de medidas 7 cm 4 cm 4 cm est inscrito tem dimetro de

(FUVEST - 2020) A dona de um lanchonete observou que, vendendo um combo a , 200 deles so vendidos por dia. Para cada reduo denesse preo, ela vende 100 combos a mais. Nessas condies, qual a mxima arrecadao dira que ela espera obter com a venda dese combo ?

(FUVEST - 2020)A função E de Euler determina, para cada número natural ݊n, a quantidade de números naturais menores do que n cujo máximo divisor comum com ݊n é igual a 1. Por exemplo, E(6)=2, pois os números menores do que 6 com tal propriedade são 1 e 5. Qual o valor máximo de E(n), para ݊n de 20 a 25?

(FUVEST - 2020)Se , para todo número real x ,o valor de ܽa+b é

(FUVEST - 2020)Uma agncia de turismo vendeu um total de 78 passagens para os destinos: Lisboa, Paris e Roma. Sabe‐se que o nmero de passagens vendidas para Paris foi o dobro do nmero de passagens vendidas para os outros dois destinos conjuntamente. Sabe‐se tambm que, para Roma, foram vendidas duas passagens a mais que a metade das vendidas para Lisboa. Qual foi o total de passagens vendidas, conjuntamente, para Paris e Roma?

(FUVEST - 2020) Um ponto (x, y) do plano cartesiano pertence ao conjunto F se equidistante dos eixos OX e OY e pertence ao crculo de equao. correto afirmar que F:

(FUVEST - 2020)Uma cidade é dividida em dois Setores: o Setor Sul, com área de 10 km, e o Setor Norte, com área de 30 km . Após um final de semana, foram divulgados os seguintes totais pluviométricos: Dia Sul Norte sábado 7 mm 11 mm domingo 9 mm 17 mm É correto afirmar que o total pluviométrico desse final de semana na cidade inteira foi de

(FUVEST - 2020) Bill Waterson, Calvin and Hobbes. Disponvel em https://www.gocomics.com/ As possveis solues, em polegadas (inches, em ingls), para o problema matemtico proposto no quadrinho, no caso em que os pontos A, Be Cesto em uma mesma reta, so

(FUVEST - 2020) TEXTO PARA AS QUESTES DE 25 A 27 Assigning female genders to digital assistants such as Apples Siri and Amazons Alexa is helping entrench harmful gender biases, according to a UN agency. Research released by Unesco claims that the often submissive and flirty responses offered by the systems to many queries including outright abusive ones reinforce ideas of women as subservient. Because the speech of most voice assistants is female, it sends a signal that women are obliging, docile and eager‐to‐ please helpers, available at the touch of a button or with a blunt voice command like hey or OK, the report said. The assistant holds no power of agency beyond what the commander asks of it. It honours commands and responds to queries regardless of their tone or hostility. In many communities, this reinforces commonly held gender biases that women are subservient and tolerant of poor treatment. The Unesco publication was entitled Id Blush if I Could; a reference to the response Apples Siri assistant offers to the phrase: Youre a slut. Amazons Alexa will respond: Well, thanks for the feedback. The paper said such firms were staffed by overwhelmingly male engineering teams and have built AI (Artificial Intelligence) systems that cause their feminised digital assistants to greet verbal abuse with catch‐me‐if‐you‐can flirtation. Saniye Glser Corat, Unescos director for gender equality, said: The world needs to pay much closer attention to how, when and whether AI technologies are gendered and, crucially, who is gendering them. The Guardian, May, 2019. Adaptado. Conforme o texto, em relao s mulheres, um efeito decorrente do fato de assistentes digitais reforarem esteretipos de gnero

(FUVEST - 2020) TEXTO PARA AS QUESTES DE 25 A 27 Assigning female genders to digital assistants such as Apples Siri and Amazons Alexa is helping entrench harmful gender biases, according to a UN agency. Research released by Unesco claims that the often submissive and flirty responses offered by the systems to many queries including outright abusive ones reinforce ideas of women as subservient. Because the speech of most voice assistants is female, it sends a signal that women are obliging, docile and eager‐to‐ please helpers, available at the touch of a button or with a blunt voice command like hey or OK, the report said. The assistant holds no power of agency beyond what the commander asks of it. It honours commands and responds to queries regardless of their tone or hostility. In many communities, this reinforces commonly held gender biases that women are subservient and tolerant of poor treatment. The Unesco publication was entitled Id Blush if I Could; a reference to the response Apples Siri assistant offers to the phrase: Youre a slut. Amazons Alexa will respond: Well, thanks for the feedback. The paper said such firms were staffed by overwhelmingly male engineering teams and have built AI (Artificial Intelligence) systems that cause their feminised digital assistants to greet verbal abuse with catch‐me‐if‐you‐can flirtation. Saniye Glser Corat, Unescos director for gender equality, said: The world needs to pay much closer attention to how, when and whether AI technologies are gendered and, crucially, who is gendering them. The Guardian, May, 2019. Adaptado. Segundo o texto, o ttulo do relatrio publicado pela Unesco‐Id Blush if I Could ‐, no que diz respeito aos assistentes digitais, indica

(FUVEST - 2020) TEXTO PARA AS QUESTES DE 25 A 27 Assigning female genders to digital assistants such as Apples Siri and Amazons Alexa is helping entrench harmful gender biases, according to a UN agency. Research released by Unesco claims that the often submissive and flirty responses offered by the systems to many queries including outright abusive ones reinforce ideas of women as subservient. Because the speech of most voice assistants is female, it sends a signal that women are obliging, docile and eager‐to‐ please helpers, available at the touch of a button or with a blunt voice command like hey or OK, the report said. The assistant holds no power of agency beyond what the commander asks of it. It honours commands and responds to queries regardless of their tone or hostility. In many communities, this reinforces commonly held gender biases that women are subservient and tolerant of poor treatment. The Unesco publication was entitled Id Blush if I Could; a reference to the response Apples Siri assistant offers to the phrase: Youre a slut. Amazons Alexa will respond: Well, thanks for the feedback. The paper said such firms were staffed by overwhelmingly male engineering teams and have built AI (Artificial Intelligence) systems that cause their feminised digital assistants to greet verbal abuse with catch‐me‐if‐you‐can flirtation. Saniye Glser Corat, Unescos director for gender equality, said: The world needs to pay much closer attention to how, when and whether AI technologies are gendered and, crucially, who is gendering them. The Guardian, May, 2019. Adaptado. De acordo com o texto, na opinio de Saniye Glser Corat, tecnologias que envolvem Inteligncia Artificial, entre outros aspectos,

(FUVEST - 2020) O efeito de comicidade que se obtém do meme decorre, sobretudo, da

(FUVEST - 2020) TEXTO PARA AS QUESTÕES 29 E 30 Scientists have long touted DNAs potential as an ideal storage medium; its dense, easy to replicate, and stable over millennia. But in order to replace existing silicon‐chip or magnetic‐tape storage technologies, DNA will have to get a lot cheaper to predictably read, write, and package. Thats where scientists like Hyunjun Park come in. He and the other cofounders of Catalog, an MIT DNA‐storage spinoff emerging out of stealth on Tuesday, are building a machine that will write a terabyte of data a day, using 500 trillion molecules of DNA. If successful, DNA storage could be the answer to a uniquely 21st‐century problem: information overload. Five years ago humans had produced 4.4 zettabytes of data; thats set to explode to 160 zettabytes (each year!) by 2025. Current infrastructure can handle only a fraction of the coming data deluge, which is expected to consume all the worlds microchip‐grade silicon by 2040. Todays technology is already close to the physical limits of scaling, says Victor Zhirnov, chief scientist of the Semiconductor Research Corporation. DNA has an information‐storage density several orders of magnitude higher than any other known storage technology. How dense exactly? Imagine formatting every movie ever made into DNA; it would be smaller than the size of a sugar cube. And it would last for 10,000 years. Wired, June, 2018. Disponível em https://www.wired.com/. Adaptado. Afirma‐se no texto que, no futuro, a tecnologia de gravação em moléculas de DNA