Questões - UNESP | Gabarito e resoluções

(UNESP -2018 - 1 FASE) Examine a tira para responder a questo. (http://roadapplesalmanac.com. Adaptado.) According to the cartoon, Shep

(UNESP - 2018 - 1 FASE) Examine a tira para responder a questo. Assinale a alternativa que completa a lacuna da tira.

(UNESP - 2018/2 - 1 FASE) Cartum 1 Cartum 2 In the cartoon 1, the animal

(UNESP - 2018/2 - 2 FASE) A figura 1 indica o corte transversal em um molde usado para a fabricao de barras de ouro. A figura 2 representa a vista frontal da seco transversal feita no molde, sendo ABCD um trapzio issceles com AC = BD = 10 cm. Adote: sen 6 = 0,104; cos 6 = 0,994. a) Calcule a diferena entre as medidas de AB e CD. b) Admitindo que a rea do trapzio ABCD seja igual a 99,4 cm2 , calcule a soma das medidas de ABe CD.

(UNESP - 2018 - 2 FASE) Observe o infogrfico, publicado recentemente em um jornal digital. a) Admitindo-se que o total de dinheiro apostado em determinado concurso da Mega-Sena tenha sido 15 milhes de reais, calcule quanto desse dinheiro, em reais, foi destinado ao esporte brasileiro (comits olmpico e paraolmpico, juntos). b) Admita que o comprimento da barra do grfico correspondente s Despesas de custo tenha 13,28 unidades de comprimento (13,28 u).Para que a proposta do infogrfico esteja matematicamente correta, calcule a medida indicada no infogrfico por x, em unidades u de comprimento.

(UNESP - 2018 - 2 FASE) Uma rampa, com a forma de prisma reto, possui tringulos retngulos ADEe BCF nas bases do prisma, e retngulos nas demais faces. Sabe-se que AB = 20 m, BC = 15 m e CF = 5 m. Sobre a face ABFE da rampa esto marcados os caminhos retilneos ,e com Gsendo um ponto de ,como mostra a figura. a) Calcule a medida do segmento . Em seguida, assuma que a inclinao de subida (razo entre vertical e horizontal) pelo caminhoseja igual ae calcule a medida do segmento. b)Considere os seguintes dados para responder a este item: 7,1 11,3 14,0 18,4 0,125 0,200 0,250 0,333 Comparando-se o caminho com o caminho ,nota-se que o ngulo de inclinao de e de em relao ao plano que contm o retngulo ABCD, aumentou. Calcule a diferena aproximada, em graus, desses ngulos.

(UNESP -2018 - 1 FASE) Examine a tira para responder a questo. No trecho do terceiro quadrinho Were not that dumb!, o termo em destaque pode ser substitudo, sem alterao de sentido, por

(UNESP - 2018/2 - 1 FASE) Cartum 1 Cartum 2 Na fala do terceiro quadrinho do cartum 1 Well, if it goes against my biases and beliefs, its fake, o termo sublinhado equivale, em portugus,

(UNESP - 2018/2 - 2 FASE) A terceira Lei de Kepler sobre o movimento de planetas, aplicada a um certo sistema planetrio, afirma que o perodo P da rbita elptica de um planeta, em dias, est relacionado ao semieixo maior da elipse, em milhes de quilmetros, pela frmula .Nos clculos a seguir, considere 1 ano = 365 dias. a) Sabendo que o perodo da rbita de um planeta 1,99 ano, calcule o valor de. b) Calcule o perodo P de um planeta desse sistema planetrio cuja rbita elptica est representada na figura a seguir.

(UNESP - 2018 - 1 FASE) Leia o texto para responder a questo. When does the brain work best? The peak times and ages for learning Whats your ideal time of the day for brain performance? Surprisingly, the answer to this isnt as simple as being a morning or a night person. New research has shown that certain times of the day are best for completing specific tasks, and listening to your bodys natural clock may help you to accomplish more in 24 hours. Science suggests that the best time for our natural peak productivity is late morning. Our body temperatures start to rise just before we wake up in the morning and continue to increase through midday, Steve Kay, a professor of molecular and computational biology at the University of Southern California toldThe Wall Street Journal. This gradual increase in body temperature means that our working memory, alertness, and concentration also gradually improve, peaking at about mid morning. Our alertness tends to dip after this point, but one study suggested that midday fatigue may actually boost our creative abilities. For a 2011 study, 428 students were asked to solve a series of two types of problems, requiring either analytical or novel thinking. Results showed that their performance on the second type was best at non-peak times of day when they were tired. As for the age where our brains are at peak condition, science has long held that fluid intelligence, or the ability to think quickly and recall information, peaks at around age 20. However, a 2015 study revealed that peak brain age is far more complicated than previously believed and concluded that there are about 30 subsets of intelligence, all of which peak at different ages for different people. For example, the study found that raw speed in processing information appears to peak around age 18 or 19, then immediately starts to decline, but short-term memory continues to improve until around age 25, and then begins to drop around age 35,Medical Xpressreported. The ability to evaluate other peoples emotional states peaked much later, in the 40s or 50s. In addition, the study suggested that out our vocabulary may peak as late as our 60ss or 70s. Still, while working according to your bodys natural clock may sound helpful, its important to remember that these times may differ from person to person. On average, people can be divided into two distinct groups: morning people tend to wake up and go to sleep earlier and to be most productive early in the day. Evening people tend to wake up later, start more slowly and peak in the evening. If being a morning or evening person has been working for you the majority of your life, it may be best to not fix whats not broken. (Dana Dovey. www.medicaldaily.com, 08.08.2016. Adaptado.) According to the first and second paragraphs, the brain performance peaks in late morning because

(UNESP - 2018 - 2 FASE) O grfico representa uma hiprbole, dada pela funo real. Sabe-se que ABCD um retngulo, que diagonal do retngulo EBCF e que a rea da regio indicada em rosa igual a 4,7 cm2. a) Determine as coordenadas (x, y)do ponto A b) Calcule a rea da regio indicada em amarelo no grfico.

(UNESP - 2018/2 - 1 FASE) Cartum 1 Cartum 2 No ltimo quadrinho do cartum 1, por meio da fala If you dont pursue the truth, youll never recognize the lies, o personagem

(UNESP - 2018/2 - 2 FASE) Uma expedio arqueolgica encontrou um pedao de um prato de cermica antigo, supostamente circular. Para estimar o tamanho do prato, os arquelogos desenharam o pedao de cermica encontrado, em tamanho real, em um plano cartesiano de origem O(0, 0).A circunferncia do prato passa pela origem do plano cartesiano e pelos pontos A(4, 2)e B(6, 4)como mostra a figura. a) A rea do pedao de cermica aproximadamente igual rea do tringulo ABO.Calcule a rea desse tringulo, em cm2. b) Calcule as coordenadas do ponto em que estaria localizado o centro do prato cermico circular nesse sistema de eixos cartesianos ortogonais.

(UNESP - 2018 - 1 FASE) Leia o texto para responder a questo. When does the brain work best? The peak times and ages for learning Whats your ideal time of the day for brain performance? Surprisingly, the answer to this isnt as simple as being a morning or a night person. New research has shown that certain times of the day are best for completing specific tasks, and listening to your bodys natural clock may help you to accomplish more in 24 hours. Science suggests that the best time for our natural peak productivity is late morning. Our body temperatures start to rise just before we wake up in the morning and continue to increase through midday, Steve Kay, a professor of molecular and computational biology at the University of Southern California toldThe Wall Street Journal. This gradual increase in body temperature means that our working memory, alertness, and concentration also gradually improve, peaking at about mid morning. Our alertness tends to dip after this point, but one study suggested that midday fatigue may actually boost our creative abilities. For a 2011 study, 428 students were asked to solve a series of two types of problems, requiring either analytical or novel thinking. Results showed that their performance on the second type was best at non-peak times of day when they were tired. As for the age where our brains are at peak condition, science has long held that fluid intelligence, or the ability to think quickly and recall information, peaks at around age 20. However, a 2015 study revealed that peak brain age is far more complicated than previously believed and concluded that there are about 30 subsets of intelligence, all of which peak at different ages for different people. For example, the study found that raw speed in processing information appears to peak around age 18 or 19, then immediately starts to decline, but short-term memory continues to improve until around age 25, and then begins to drop around age 35,Medical Xpressreported. The ability to evaluate other peoples emotional states peaked much later, in the 40s or 50s. In addition, the study suggested that out our vocabulary may peak as late as our 60ss or 70s. Still, while working according to your bodys natural clock may sound helpful, its important to remember that these times may differ from person to person. On average, people can be divided into two distinct groups: morning people tend to wake up and go to sleep earlier and to be most productive early in the day. Evening people tend to wake up later, start more slowly and peak in the evening. If being a morning or evening person has been working for you the majority of your life, it may be best to not fix whats not broken. (Dana Dovey. www.medicaldaily.com, 08.08.2016. Adaptado.) According to the second paragraph, the 2011 study showed that

(UNESP - 2018/2 - 1 FASE) Leia o texto para responder a questo. When it comes to politics and fake news, facts arent enough The myth that vaccines cause autism has persisted, even though the facts paint an entirely different story. In todays political climate, it sometimes feels like wecant even agree on basic facts. We bombard each other with statistics and figures, hoping that more data will make a difference. A progressive person might show you the sameclimate change graphs over and over while a conservative person might point to the trillions of dollars of growing national debt. Were left wondering, Why cant they just see? Its so obvious! Certain myths are so pervasive that no matter how many experts disprove them, they only seem to grow in popularity. Theres no shortage of serious studies showing no link between autism and vaccines, for example, but these are no match for an emotional appeal to parents worried for theiryoung children. Tali Sharot, a cognitive neuroscientist at University College London, studies how our minds work and how we process new information. In her upcoming book, The Influential Mind,she explores why we ignore facts and how we can get people to actually listen to the truth. Tali shows that were open to new information but only if it confirms our existing beliefs. We find ways to ignore facts that challenge our ideals. And as neuroscientist Bahador Bahrami and colleagues have found, we weigh all opinions as equally valid, regardless of expertise. So, having the data on your side is not always enough. For better or for worse, Sharot says, emotions may be the key to changing minds. (Shankar Vedantam. www.npr.org. Adaptado.) De acordo com o texto, as pessoas