Seja !$ \beta = { \large 1 \over 2} . { \large log^3_{10} \over log^3_{10} - log ^7_{10}} !$. O conjunto solução da desigualdade !$ 3 ^{cos(x)} \le \left ( { \large 3 \over 7}\right)^{\beta} !$ no intervalo !$ [0, 2\pi) !$, é igual a

Observe o climograma de uma cidade brasileira e considere as afirmativas relacionadas a este.

I- O clima representado é denominado equatorial, em cuja área está presente uma vegetação do tipo hidrófila e latifoliada, característica da Floresta Equatorial.

II- Refere-se a um clima sob forte influência da massa Polar atlântica (mPa) e que apresenta uma significativa amplitude térmica anual.

III- Trata-se de um clima subtropical úmido, com precipitações ao longo de todo o ano, sem ocorrência de estação seca.

IV- Nas áreas em que esse clima predomina, observam-se precipitações que ultrapassam os 2.200mm, o que, aliado às altas temperaturas, favorece o processo de lixiviação e a consequente laterização do solo.

Assinale a alternativa em que todas as afirmativas estão corretas:

Assinale a alternativa em que há o correto emprego da palavra sublinhada.

“Nas últimas décadas do século XX, o número de migrantes internacionais aumentou de forma significativa […] por causa das disparidades econômicas entre os países” (TERRA, L; ARAÚJO, R; GUIMARÃES, R. Conexões- Estudos de Geografia Geral. 1.ed. São Paulo: Moderna, 2009, p. 327)

Sobre as migrações no contexto da globalização podemos afirmar que

I- a globalização tem facilitado as migrações, devido tanto à redução do custo dos transportes quanto à expansão dos meios de comunicação.

II- embora os EUA e o núcleo mais próspero da União Europeia sejam as duas maiores zonas de atração de fluxos migratórios do mundo, países situados no Oriente Médio são os que possuem maior percentagem de imigrantes na população.

III- a crescente necessidade de mão de obra imigrante por parte da Austrália tem levado esse País a estimular a imigração através de políticas imigratórias menos seletivas.

IV- no México, o recebimento de remessas financeiras de seus milhares de emigrados constitui uma das maiores fontes de divisas do País.

V- as restrições cada vez mais rígidas impostas pelos países desenvolvidos à imigração clandestina, aliada à constante vigilância de suas fronteiras, têm impedido o crescimento do número de imigrantes ilegais no mundo.

Assinale a alternativa em que todas as afirmativas estão corretas.

Uma reta t passa pelo ponto A(-3,0) e é tangente à parábola de equação x=3y² no ponto P. Assinale a alternativa que apresenta uma solução correta de acordo com essas informações.

Leia o texto a seguir e responda a questão.

Military Officers Face a New Evaluation

Gen. Martin E. Dempsey, the chairman of the Joint Chiefs of Staff, is leading important changes following recent scandals involving high-ranking officers. This is part of training and development programs for generals and admirals. They will include new courses to train the security detail, executive staffs and even the spouses of senior officers.

Saying he was disturbed about the misconduct issues, General Dempsey said that evaluations of top officers needed to go beyond the traditional assessment of professional performance by superior officers alone. He said that he had decided the changes were necessary “to assess both competence and character in a richer way”.

“You can have someone of incredible character who can’t lead their way out of a forward operating base because they don’t have the competence to understand the application of military power, and that doesn’t do me any good”, General Dempsey said. “Conversely, you can have someone who is intensely competent in the skills of the profession, but doesn’t live a life of character. And that doesn’t do me any good.”

General Dempsey said that regular professional reviews would be transformed from top-down assessments to the kind of “360-degree performance evaluation”, which includes feedback from subordinates, peers and superiors. For the new training programs, he said that while it may be impossible to prevent infractions, “most officers need to be reminded of the rules and regulations on a routine basis”.

Teams of inspectors will observe and review the procedures of commanders and their staffs. The inspections will not be punitive, but will provide a “periodic opportunity for general officers to understand whether, from an institutional perspective, we think they are inside or outside the white lines”, he said. In addition, new programs will be instituted to ensure that a commander’s staff, and a spouse, are fully aware of military regulations.

“In my 39 years in the military, I have learned that you are not a profession just because you say you are. You have to earn it and re-earn it and re-evaluate it from time to time”, General Dempsey said.

Adapted from www.nytimes.com/2013/04/14/us

According to the Macmillan English Dictionary Online, the word issue has the following definitions. Read them and answer the question below.

1. a problem that needs to be considered.
2. a magazine that is published at a particular time.
3. a set of things that are available to people at a particular time.
4. (formal) the act of officially giving something to someone.
5. (legal) someone’s children.

According to the text, a 360-degree performance evaluation (paragraph 4)

O ponto simétrico do ponto (1,5) em relação à reta de equação 2x + 3y - 4 = 0 é o ponto

Assinale a opção que completa corretamente as lacunas das frases a seguir.

I – uma semana que telefono e não consigo contato.

II – muito tempo que a amiga o procurava sem sucesso.

III– Passara no concurso pouco tempo.

IV– Iniciou os estudos poucos dias.

V – Estávamos ali quatro horas.

O número de soluções da equação !$ { \large 1 \over 2} \Big | x \Big | ⋅ \Big | x -3 \Big | = 2 ⋅ \Big | x - { \large 3 \over 2} \Big| !$, no conjunto , é

Leia o texto a seguir e responda à questão.

Brazil’s Rolezinhos – The Kids Are All Right

Shopping Metrô Itaquera, a gleaming mall amid the favelas (shantytowns) of eastern São Paulo, gained notoriety on January 11th, when the police used rubber bullets and tear gas to disperse a crowd of 3,000 youths. The youngsters were participating in a rolezinho, a gathering of tens, hundreds, and sometimes thousands of youngsters which is convened via social networks.

Mall owners and shopkeepers have reasons to be cautious. A few rolezinhos have led to muggings and robberies. But most do not end in Itaquera-like chaos: the word’s true meaning is closer to “little outing”. And theories that rolezeiros are class warriors or favela dwellers tired of the country’s veiled racism are not correct. “Their battle cry is not ‘Less oppression!’” says Renato Barreiros, who has directed a documentary about them. “It’s ‘More Adidas!’”

The point of a rolezinho is “to hang out, chill, buy nice things, meet people”, explains Vinicius Andrade, a 17-year-old from Capão Redondo, a favela in western São Paulo. He has taken part in 18 big rolezinhos and helped organise a few, drawing some of his 89,000 Facebook followers. His 15-year-old girlfriend, Yasmin Oliveira, a rolezeiro sweetheart with 94,000 fans of her own on the social network, says that shopping centres make good meeting places because they are safe – an important consideration in a crime-ridden city. There are few other public venues for kids, especially in poorer neighbourhoods.

As well as air conditioning, shopping centres also confer something no open-air space can: status. Rolezeiros enjoy walking around in a branded T-shirt and bermudas, with a pair of 400- reais ($170) shades perched on a baseball cap. Vinicius confesses to spending 800-1,000 reais a month on clothes and accessories, most of what he makes as a helper at a local Adventist church. Just 8% of Itaquera shoppers enjoy a monthly income in excess of 2,780 reais. Some rolezeiros support their flashy lifestyle by reselling outmoded attire to poorer neighbours.

Shopkeepers in the local malls have mixed feelings about the gatherings. On the one hand, the youngsters make ideal clients: they often pay cash and can spend 2,000-3,000 reais in one go. On the other, larger groups can scare away customers.

Adapted from http://www.economist.com

Another title for this article could be