Questões de Vestibular UFU-MG 2018 para Vestibular, 2º Dia

“Once we’re dead, we’re dead. I don’t want a Japanese designer to start designing Dolce & Gabbana,” Gabbana, 55, said in an interview with Italian newspaper Corriere della Sera.
The veteran fashionistas launched their brand in 1985 and continue to work together despite breaking up as a couple in 2004. “When we split up, we said to ourselves that it was better to divide up everything, because if I took a blow to the head the next day he would have found himself dealing with someone not involved in the industry, like for example my cousin, who could ruin the business,” Gabbana said. “We have created a trust neither of us can touch.”
Dolce, 59, added that the pair had refused “every offer to buy the brand”. “You can have all the money in the world, but if you are not free, what do you do? You don’t go to the grave with a coffin stuffed with money,” he said.
Designer Stefano Gabbana says he is tired of being labelled as gay. “I’m too busy working. I don’t care about becoming richer – my goal is to be successful,” he said. The two men said they still share an exceptional bond, even though they are no longer romantically linked. “Even today, what is mine is his, and what is his is mine ...”


Disponı́vel em: <https://www.theguardian.com>. Acesso em: 24 mar. 2018.
According to the text,
I. Domenico and Stefano imply the Dolce & Gabbana label will die with them. II. The Italian designers still maintain a romantic and long lasting relationship. III. For them, success in their careers seems to be more important than money. IV. Gabbana said he only trusts Dolce and his own cousin to run their business. V. Even though they love each other, their fortunes are kept apart from one another.
Assinale a alternativa que apresenta apenas afirmativas corretas.

Disponı́vel em: <http://www.gocomics.com>. Acesso em: 22 abr. 2018.


Sobre a tirinha, pode-se concluir que o efeito de humor ocorre devido ao fato

Do Gun Owners Want Gun Control?

By Jess Bidgood and Sabrina Tavernise

Tom Galinat signed a letter to lawmakers, urging them to expand background checks for gun purchases. Mr. Galinat, 35, a farmer and hunter who owns nine guns, traveled last month from his home in Peacham, Vt., to Montpelier, the state capital, with a firm goal in mind: Convince lawmakers to enact a ban on high-capacity magazines.

Jonathan Leach, 56, a policy analyst in Augusta, Me., and the owner of about 10 guns, testified before Maine legislators in favor of a bill to let judges order people deemed dangerous to surrender their firearms. Mr. Leach said he wanted to serve as a counterweight to gun rights enthusiasts he knew would speak against the idea.

Disponı́vel em: <www.nytimes.com>. Acesso em: 24 Abr. 2018.

Com base no texto, é correto afirmar que

New Studies Link Cell Phone Radiation with Cancer Researchers call for greater caution, but skeptics say the evidence from rat studies is not convincing By Charles Schmidt

    Does cell phone radiation cause cancer? New studies show a correlation in lab rats, but the evidence may not resolve ongoing debates over causality or whether any effects arise in people.
    The ionizing radiation given off by sources such as x-ray machines and the sun boosts cancer risk by shredding molecules in the body. But the nonionizing radio-frequency (RF) radiation that cell phones and other wireless devices emit has just one known biological effect: an ability to heat tissue by exciting its molecules. Still, evidence advanced by the studies shows prolonged exposure to even very low levels of RF radiation, perhaps by mechanisms other than heating that remain unknown, makes rats uniquely prone to a rare tumor called a schwannoma, which affects a type of neuron (or nerve cell) called a Schwann cell.


Disponı́vel em: <https://www.scientificamerican.com>. Acesso em: 29 mar. 2018.
    Com base no texto, afirma-se que

A new study, published Monday in the journal Nature Astronomy, established the chemical composition of Uranus’ upper cloud deck for the first time. Using an instrument called the Near-Infrared Integral Field Spectrometer (NIFS) at the Gemini North telescope in Hawaii, researchers determined that Uranus’ cloud cover is composed of hydrogen sulfide (H2S) gas, which is what gives rotten eggs their distinctive, noxious scent.


Disponı́vel em: <http://time.com>. Acesso em: 24 abr. 2018.
De acordo com o texto, infere-se que

Technology and its discontents
Nuclear bombs can destroy us. Facebook undermines our privacy. Artificial intelligence (AI) and robots can enslave us (or, worse, take our jobs). Synthetic biology and geneediting have humans playing God. Social media make us depressed: we’ve never been so connected yet never so alone.
Those are just a few of the complaints leveled against technology. For most of human history, however, technology was mostly seen as a force for good. More people would live because of technical progress, from refrigeration to vaccination, than perish because of it, despite lethal inventions such as gunpowder.


Disponı́vel em: <https://www.economist.com >. Acesso em: 25 mar. 2018.
After reading this text, one could state that

The assistant we didn’t ask for, but can’t live without
“Weird.” “Curious.” “Baffling.” “Quite Stupid.” These words all once described Alexa, the voice-activated digital assistant on Amazon’s Echo device. But Amazon says the Echo Dot, a smaller, less expensive version of the Echo, was its “top-selling device” during the holiday season.
In 2014, it was odd to even consider owning an Echo — and impossible to buy without an invitation from Amazon. Today, you can pick from five Echo models. Or, you can try Google’s version: the Google Home, Google Home Mini or Google Home Max. Apple has also released a digital assistant device, the HomePod, which is fully capable with Siri. You can have your pick of digital assistants — each with varying capabilities of improving your life.
Alexa now has more than 15,000 skills, meaning any Echo device can go beyond describing the weather or playing music. The Google Assistant, first released in 2016, is catching up.
So why buy one now? First, they’re relatively inexpensive and far easier to use and understand than they were when first released. Think back to MP3 players or early smartphones: people learned a lot about using the products and became so adjusted to them that they didn’t know how to go back. Second, the future is paved with smart home devices, and voice-activated assistants to control them are becoming ubiquitous. The Echo and Google Home are no longer “test products” — the companies behind them want them to last.
Disponı́vel em: <www.nytimes.com>. Acesso em: 10 mar. 2018
Com base no texto, afirma-se que
I. existem vários modelos de assistentes digitais ativados por voz no mercado. II. Alexa ainda é bastante limitada, mas descreve o tempo e toca músicas., III. Google, Apple e Amazon desenvolveram assistentes digitais em parceria. IV. há justificativas para a compra de um Echo Dot ou de um Google Home. V. alguns dos assistentes digitais mencionados ainda se encontram em fase de testes.
Assinale a alternativa que apresenta apenas afirmativas corretas.

“The woman hangs upside down behind her husband”
Novelist and travel journalist Jo Piazza on the benefits of competing in the wife-carrying race
You don’t hear that enough in life. But it was the first thing my husband and I were told after flying across the country to Sunday River, Maine, to enter the North American Wife Carrying Championship. Never heard of wife carrying? You’re forgiven. Popular in Finland as Eukonkanto and legally dubbed a “sport” there in 1991, wife carrying is a race wherein a man hurls a woman over his shoulders as if she were a sack of potatoes and stumbles through and over obstacles to cross a finish line and collect his prize— his wife’s weight in beer. Yes, that’s the prize.
We also learned that there are well-thought-out wife-carrying techniques, the most popular being the “Estonian carry,” whereby the woman hangs upside down behind her husband facing his butt, with her legs thrown over his shoulders. It’s as uncomfortable as it sounds.

Disponı́vel em: <https://americanwaymagazine.com>. Acesso em: 25 mar. 2018.
De acordo com o texto,
I. a mulher é carregada como se fosse um saco de batatas. II. EukonKanto é considerado um esporte praticado nos EUA. III. o esposo deve carregar sua esposa acima de sua cabeça. IV. cerveja equivalente ao peso da esposa é o prêmio ofertado. V. segurança e conforto da mulher são critérios fundamentais.
Assinale a alternativa que apresenta apenas afirmativas corretas.

A Shoe Engineered to Boost Performance

By Julia Zorthian

Imagine a shoe that lets you run faster, pivot better and jump higher. That’s the idea behind the Futurecraft 4D, a new sneaker whose midsole can be expertly tailored to the needs of its wearers—not only in size and shape, but also in flexibility, impact type, cushioning and more. The key is the 3-D printing process, which enables the company to “look at every single square millimeter of a midsole and tune it from a performance standpoint,” says Al VanNoy, who headed the project. It would take weeks to make those modifications using traditional shoemaking methods. But the Futurecraft 4D midsoles can be printed in as little as two hours, meaning they could even be produced in stores. At least that’s a possibility for the future.

Disponı́vel em: <http://time.com>. Acesso em: 25 mar. 2018.

Based on the text, Futurecraft 4D

Über-Adaptable Airless Tires

By Lisa Eadicicco

In the future, our cars will be smart, and our tires will be smarter. For starters, it’s airless, eliminating the need to worry about pounds per square inch. It’s also made from recycled materials in an effort to reduce waste. But the most impressive feature may be its 3-D--printed treads, which can be swapped in and out to accommodate various road conditions—without changing the tire itself. The challenge will be figuring out a way to do it quickly, says Terry Gettys, who helped lead the project, “because consumers are going to want their tires [ready to go] in just a few minutes.”

Disponı́vel em: <http://time.com>. Acesso em: 25 mar. 2018.
One of the most innovative features of this new concept tire is that it

Uma área delimitada pelas Ruas 1 e 2 e pelas Avenidas A e B tem a forma de um trapézio ADD'A', com AD = 90m ݉ e = A'D' = 135m ݉, como mostra o esquema da figura abaixo.


Tal área foi dividida em terrenos ABB'A', BCC'B' e CDD'C', todos na forma trapezoidal, com bases paralelas às avenidas tais que AB = 40m, BC = 30m e CD = 20m.
De acordo com essas informações, a diferença, em metros, A'B' - C'D' é igual a

As irmãs Ana e Beatriz e seus respectivos namorados vão sentar-se em um banco de jardim (figura) de modo que cada namorado fique ao lado de sua namorada.

A probabilidade de as irmãs sentarem-se uma ao lado da outra é igual a

Funções afins e quadráticas têm aplicações em alguns modelos simples, envolvendo os conceitos preço de venda e custo de produção de uma mercadoria, bem como a receita e o lucro obtidos com sua venda. Para uma empresa, é fundamental determinar o intervalo de produção em que a receita supera o custo de produção.

Suponha que o custo de produção de uma mercadoria de certa empresa, em função da quantidade produzida x, ,seja dado pela função C (x) = 40x + 1400 (c₀ = 1400 é denominado custo fixo de produção) e que o preço de venda seja p(x) = - 2x + 200, em que x é a quantidade demandada (vendida). Nesse caso, a receita R obtida com as vendas é função de x, precisamente R (x) = x.p(x).

As quantidades produzidas e vendidas x para as quais essa empresa tem lucro L(x) = R(x) - C(x) positivos (receita supera o custo de produção) é

O compasso é um instrumento usado no desenho artístico e no desenho técnico. Um exemplo de compasso especial é o compasso articulável, que possui cabeça de fricção para ajuste preciso e suave do raio, um braço articulável e outro com barra prolongadora do braço, onde fica a ponta seca, conforme ilustra a figura abaixo.

O esquema abaixo mostra um compasso articulável ajustado de modo que o braço articulável é perpendicular a e .


Para essa configuração, a medida, em cm, do raio da circunferência traçado com o compasso é

Um comerciante está negociando o valor V da venda à vista de uma mercadoria que foi adquirida com seu fornecedor um mês antes por R$1000,00 com 4 meses de prazo para pagamento (sem pagar juros). Sabe-se que o comerciante aplica esse valor V à taxa de 2% de juros (compostos) ao mês para viabilizar o pagamento futuro da mercadoria.
Para que a atualização do valor associado à venda dessa mercadoria forneça, na data do pagamento do fornecedor, um lucro líquido de R$200,00, a venda à vista deve ser de
Obs.: use a aproximação 1,0612 para (1,02)³ e, ao expressar um valor monetário, faça o arredondamento na segunda casa decimal, considerando unidades inteiras de centavos.

Um açougueiro atendeu, nos quatro primeiros dias de uma semana, respectivamente, 20, 17, 16 e 19 pessoas. Considerando-se os atendimentos realizados na sexta-feira e no sábado, a média do número de pessoas atendidas, ao longo de todos esses dias da semana, foi de 21 pessoas.

Se a moda referente às quantidades de pessoas atendidas diariamente é maior do que 20, logo a maior quantidade de pessoas atendidas em um único dia é igual a

Considere a função definida por y = f(x) = k . │x-3│ , em que k é um número natural constante, x uma variável assumindo valores reais e │a│ representa o módulo do número real a. Representando, no sistema de coordenadas cartesianas, o gráfico de y = f(x) , tem-se que esse gráfico e os eixos coordenados delimitam um triângulo de área igual a 72cm².
Nas condições apresentadas, o valor de k , em cm, é um número

O polinômio p (x), na variável real x , é obtido por meio da multiplicação sucessiva de termos de tipo (x- i )ⁱ para i  = 1, 2, ..., k. Desse modo, p(x) = (x - 1)(x - 2)² ...(x - k)^k sendo k um número natural constante.
    Se o grau de p (x ) é igual a 210, logo k é um número

Um recipiente, no formato de um cilindro circular reto de raio de base r cm, possui um líquido solvente em seu interior. A altura h desse solvente presente no recipiente é igual a 16 /3 cm, conforme ilustra a Figura 1.


Quando uma peça maciça, no formato de uma esfera de raio igual a 3cm, é mergulhada nesse recipiente até encostar no fundo, observa-se que o solvente cobre exatamente a esfera, conforme ilustra a Figura 2.
Segundo as condições apresentadas, o raio r , em cm, é igual a

Considere o plano munido de um sistema de coordenadas cartesianas x y 0 . Seja H o conjunto dos pontos P(x, y) desse plano, cujas coordenadas cartesianas (x, y) satisfazem:


Assinale, dentre as alternativas que seguem, a que melhor representa graficamente o conjunto H.