FUVEST 2016

Questão 32353

Três números formam uma progressão geométrica. A média aritmética dos dois primeiros é 6, e a do segundo com o terceiro é 18.

Sendo assim, a soma dos termos dessa progressão é igual a

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Questão 32364

(FUVEST - 2016)

Os pontos A, B e C são colineares, overline{AB}=5, overline{BC}=2 e B está entre A e C. Os pontos C e D pertencem a uma circunferência com centro em A. Traça-se uma reta r perpendicular ao segmento BD passando pelo seu ponto médio. Chama-se de P a intersecção de r com AD. Então, AP + BP vale:

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Questão 32366

TEXTO PARA A PRÓXIMA QUESTÃO: 
Leia o texto a seguir e responda à questão.

Um dos principais impactos das mudanças ambientais globais é o aumento da frequência e da intensidade de fenômenos extremos, que quando atingem áreas ou regiões habitadas pelo homem, causam danos. Responsáveis por perdas significativas de caráter social, econômico e ambiental, os desastres naturais são geralmente associados a terremotos, tsunamis, erupções vulcânicas, furacões, tornados, temporais, estiagens severas, ondas de calor etc.

(Disponível em: <www.inpe.br>. Acesso em: 20 maio 2015.) 


É possível relacionar o caos de um desastre natural com o fenômeno de um terremoto. O sismógrafo vertical, representado na imagem a seguir, é um dos modelos utilizados para medir a intensidade dos tremores.

 

A massa que está na ponta da haste tem 100g e o comprimento da haste, da ponta até o pivô de articulação, é de 20 cm. Durante um tremor, a haste se move para baixo e isso causa um deslocamento de frac{pi }{6}rad entre a sua posição de equilíbrio e a nova posição.
Considerando que  sen(frac{pi }{6})=frac{1}{2}

assinale a alternativa que apresenta, corretamente, a energia despendida no processo. 

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Questão 32373

Duas cordas cortam-se no interior de um círculo. Os segmentos da primeira são expressos por 6x e 2x+2 e os da segunda por 2x e 8x-2. Com isso podemos determinar que o comprimento da maior corda vale:

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Questão 32559

(UFPR - 2016 - 1a FASE) As moléculas mais utilizadas pela maioria das células para os processos de conversão de energia e produção de ATP (trifosfato de adenosina) são os carboidratos. Em média, um ser humano adulto tem uma reserva energética na forma de carboidratos que dura um dia. Já a reserva de lipídeos pode durar um mês. O armazenamento de lipídeos é vantajoso sobre o de carboidratos pelo fato de os primeiros terem a característica de serem:

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Questão 32561

(UECE 2016.2) Os esteroides são substâncias fundamentais ao metabolismo, dentre eles, o colesterol é um parâmetro que deve ser monitorado regularmente para o controle da saúde humana. Sobre o colesterol, é correto afirmar que

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Questão 32562

(UFBA) - Os óleos comestíveis são considerados

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Questão 32568

(UFPR - 2016 - 1ª FASE)  Sobre las sirenas presentes en la literatura, identifica como verdaderas (V) o falsas (F) las siguientes afirmativas:

(     ) Comparten el lugar con otros seres fantásticos en la literatura de la actualidad.

(     ) Tienen como característica una seducción mal intencionada.

(     ) Son reales, al contrario que vampiros, zombies y fantasmas.

(     ) Sus poderes son incomparables a los demás seres sobrenaturales.

 

Señala la alternativa que presenta la secuencia correcta, de arriba hacia abajo.

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Questão 32570

(UFPR - 2016 - 1ª FASE)  Para el autor, leer “El silencio de las sirenas” fue:

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Questão 32585

(UFPR - 2016 - 1a FASE)

Six things I learned from riding in a Google self-driving car

 

1 - Human beings are terrible drivers.

We drink. We doze. We text. In the US, 30,000 people die from automobile accidents every year. Traffic crashes are the primary cause of death worldwide for people aged 15-24, and during a crash, 40% of drivers never even hit the brakes. We’re flawed organisms, barreling around at high speeds in vessels covered in glass, metal, distraction, and death. This is one of Google’s “moonshots” – to remove human error from a job which, for the past hundred years, has been entirely human.

 

2 - Google self-driving cars are timid.

The car we rode in did not strike me as dangerous. It drove slowly and deliberately, and I got the impression that it’s more likely to annoy other drivers than to harm them.

In the early versions they tested on closed courses, the vehicles were programmed to be highly aggressive. Apparently during these tests, which involved obstacle courses full of traffic cones and inflatable crash-test objects, there were a lot of screeching brakes, roaring engines and terrified interns.

 

3 - They’re cute.

Google’s new fleet was intentionally designed to look adorable. Our brains are hardwired to treat inanimate (or animate) objects with greater care, caution, and reverence when they resemble a living thing. By turning self-driving cars into an adorable Skynet Marshmallow Bumper Bots, Google hopes to spiritually disarm other drivers. I also suspect the cuteness is used to quell some of the road rage that might emerge from being stuck behind one of these things. They’re intended as moderate-distance couriers, not open-road warriors, so their max speed is 25 miles per hour.

 

4 - It’s not done and it’s not perfect.

Some of the scenarios autonomous vehicles have the most trouble with are the same human beings have the most trouble with, such as traversing four-way stops or handling a yellow light.

The cars use a mixture of 3D laser-mapping, GPS, and radar to analyze and interpret their surroundings, and the latest versions are fully electric with a range of about 100 miles.

Despite the advantages over a human being in certain scenarios, however, these cars still aren’t ready for the real world. They can’t drive in the snow or heavy rain, and there’s a variety of complex situations they do not process well, such as passing through a construction zone. Google is hoping that, eventually, the cars will be able to handle all of this as well (or better) than a human could.

 

5 - I want this technology to succeed, like… yesterday.

I’m biased. Earlier this year my mom had a stroke. It damaged the visual cortex of her brain, and her vision was impaired to the point that she’ll probably never drive again. This reduced her from a fully-functional, independent human being with a career and a buzzing social life into someone who is homebound, disabled, and powerless.

When discussing self-driving cars, people tend to ask many superficial questions. They ignore that 45% of disabled people in the US still work. They ignore that 95% of a car’s lifetime is spent parked. They ignore how this technology could transform the lives of the elderly, or eradicate the need for parking lots or garages or gas stations. They dismiss the entire concept because they don’t think a computer could ever be as good at merging on the freeway as they are. They ignore the great, big, beautiful picture: that this technology could make our lives so much better.

 

6 - It wasn’t an exhilarating ride, and that’s a good thing.

Riding in a self-driving car is not the cybernetic thrill ride one might expect. The car drives like a person, and after a few minutes you forget that you’re being driven autonomously. You forget that a robot is differentiating cars from pedestrians from mopeds from raccoons. You forget that millions of photons are being fired from a laser and interpreting, processing, and reacting to the hand signals of a cyclist. You forget that instead of an organic brain, which has had millions of years to evolve the cognitive ability to fumble its way through a four-way stop, you’re being piloted by an artificial one, which was birthed in less than a decade.

The unfortunate part of something this transformative is the inevitable, ardent stupidity which is going to erupt from the general public. Even if in a few years self-driving cars are proven to be ten times safer than human-operated cars, all it’s going to take is one tragic accident and the public is going to lose their minds. There will be outrage. There will be politicizing. There will be hashtags.

I say look at the bigger picture. All the self-driving cars currently on the road learn from one another, and possess 40 years of driving experience. And this technology is still in its infancy.

(Adapted from: <http://theoatmeal.com/blog/google_self_driving_car>. 21/08/2016.)

Consider the following:

1. Drinking before driving.

2. Sending a written message while driving.

3. Sleeping for a short period of time.

4. Hitting the brakes.

5. Speeding up.

 

According to the text, some human mistakes that happen before or during a car accident are:

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