Prova de 2011: Faculdade de Tecnologia do Estado de São Paulo (FATEC) — questões com gabarito

Símbolos podem codifcar informações importantes. Os losangos (rótulos de risco) são utilizados em caminhões e em outros veículos que transportam produtos químicos. Tais losangos devem ter as seguintes informações:



Por exemplo, um caminhão que transporta o lixo de hospitais, clínicas, consultórios e laboratórios deve exibir o seguinte losango:



Com base nessas informações, pode-se concluir que um caminhão que exiba o losango



pode estar transportando

No século XX, os meios de comunicação de massa foram amplamente utilizados por diferentes governos como veículos de propaganda ideológica, um tipo de comunicação que visa formar a maior parte das ideias e das convicções dos indivíduos e, com isso, orientar todo o seu comportamento social. Um exemplo histórico do uso dos meios de comunicação como veículo de propaganda ideológica ocorreu em

Segundo o historiador Fernando Novais, o pacto colonial “define o sistema colonial porque é através dele que as colônias preenchem sua função histórica, isto é, respondem aos estímulos que lhes deram origem, que formam a sua razão de ser, enfim, que lhes dão sentido".

(NOVAIS, Fernando A. O Brasil nos quadros do Antigo Sistema Colonial. In: MOTA, Carlos Guilherme (org.). Brasil em perspectiva. São Paulo: Difusão Europeia do Livro, 1973, p. 47-63.) 

Considerando as ideias expostas, é correto afirmar que a exploração açucareira, no nordeste do Brasil Colonial, 

Em 1907 foi realizado o primeiro levantamento geral da indústria no Brasil, indicando a existência de 3 258 empresas. Treze anos mais tarde, o Censo Industrial apontava a existência de 13 336 empresas.

Acerca do expressivo crescimento da indústria brasileira, nesse período, é correto afirmar que

Há livros da famosa escritora Agatha Christie que fazem menção a crimes que foram cometidos com o uso de substâncias químicas. Em O misterioso caso de Styles, é citada a substância hidrocloreto de estricnina, extremamente venenosa, cuja solubilidade em água é cerca de 1 g / 40 mL. Sabendo-se que a massa molar dessa substância é aproximadamente 400 g / mol, calcula-se que a solubilidade em água do veneno em questão, expressa em mol / L, seja da ordem de

Uma das substâncias responsáveis pelo cheiro desagradável que as pessoas sentem, ao passarem nas proximidades de rios e de córregos poluídos por esgoto, é o sulfeto de hidrogênio, H₂S (g). Esse mau cheiro se intensifica principalmente em dias quentes, pois o aumento de temperatura diminui a solubilidade desse gás em água.

Quando borbulhado em água, o H₂S comporta-se como ácido fraco, estabelecendo-se os equilíbrios simultâneos representados pelas equações a seguir:

                                             

Dentre os procedimentos a seguir, o único que provoca um aumento do escape de sulfeto de hidrogênio de uma solução aquosa para o ar é

Considere o seguinte esquema correspondente a um aparelho utilizado para testar a condutibilidade elétrica de diferentes materiais.

                         

A lâmpada deverá acender com brilho intenso, quando os terminais T₁ e T₂ forem 

O pigmento branco mais utilizado em tintas e em esmaltes é o dióxido de titânio, TiO₂ . A porcentagem em massa de titânio nesse pigmento é de

Massas molares em g/mol
Ti = 48
O = 16

CHINA'S NEW SEX SYMBOLS

BY ISAAC STONE FISH

       ASIA IN THE CATEGORY of the world's sexiest politicians, China's dour communist apparatchiks¹ would seem to be far behind America's legendary ladies' men presidents and Europe's bunga-bunga leaders. But a survey released in December by the All-China Women's Federation found that a Middle Kingdom mandarin is the top pick for an ideal partner among Chinese women.

      What's the appeal? (It can't be the ill-fitting suits.) It's money, money, money. While government officials receive a modest salary – well under $1,000 a month- they can usually leverage their position for personal gain, often through shady means. A corrupt vice district head in Beijing was recently arrested for accumulating more than $ 6,5 million; in other cases the perks have reached into the hundreds of millions. And even for officials who aren't skimming off the top, a government job (and the attendant legal perks) provides a level of security that's quite desirable for China's marriage-minded ladies, especially compared with a less stable position at a state-owned or private company.

      There's also the growing reputation of Chinese government officials as a particularly virile lot. China's state-owned press often titillates readers with tales of bureaucratic sex scandals: in one major story last year, a provincial tobacco-bureau chief's diary was leaked online, with page after page of prurient details about his trysts² with young beauties (including fellow government employees). The public's reaction was generally sympathetic to the cad. One prominent blogger maintained the bureau chief was a good official because he managed to spend some time with his wife despite the womanizing, took less than $10,000 in bribes, and didn't visit prostitutes. In other words, a real catch. In a survey on the blogger's site, almost all the more than 100,000 respondents thought the official should keep his job. That's sex appeal – and popular appeal.

                                                                                       ( Newsweek, February 7, 2011.) 

apparatchiks¹ : burocratas do partido comunista chinês
trysts² : encontros secretos
De acordo com o texto, os apparatchiks são considerados

CHINA'S NEW SEX SYMBOLS

BY ISAAC STONE FISH

       ASIA IN THE CATEGORY of the world's sexiest politicians, China's dour communist apparatchiks¹ would seem to be far behind America's legendary ladies' men presidents and Europe's bunga-bunga leaders. But a survey released in December by the All-China Women's Federation found that a Middle Kingdom mandarin is the top pick for an ideal partner among Chinese women.

      What's the appeal? (It can't be the ill-fitting suits.) It's money, money, money. While government officials receive a modest salary – well under $1,000 a month- they can usually leverage their position for personal gain, often through shady means. A corrupt vice district head in Beijing was recently arrested for accumulating more than $ 6,5 million; in other cases the perks have reached into the hundreds of millions. And even for officials who aren't skimming off the top, a government job (and the attendant legal perks) provides a level of security that's quite desirable for China's marriage-minded ladies, especially compared with a less stable position at a state-owned or private company.

      There's also the growing reputation of Chinese government officials as a particularly virile lot. China's state-owned press often titillates readers with tales of bureaucratic sex scandals: in one major story last year, a provincial tobacco-bureau chief's diary was leaked online, with page after page of prurient details about his trysts² with young beauties (including fellow government employees). The public's reaction was generally sympathetic to the cad. One prominent blogger maintained the bureau chief was a good official because he managed to spend some time with his wife despite the womanizing, took less than $10,000 in bribes, and didn't visit prostitutes. In other words, a real catch. In a survey on the blogger's site, almost all the more than 100,000 respondents thought the official should keep his job. That's sex appeal – and popular appeal.

                                                                                       ( Newsweek, February 7, 2011.) 

apparatchiks¹ : burocratas do partido comunista chinês
trysts² : encontros secretos
Segundo o texto, pode-se inferir que

CHINA'S NEW SEX SYMBOLS

BY ISAAC STONE FISH

       ASIA IN THE CATEGORY of the world's sexiest politicians, China's dour communist apparatchiks¹ would seem to be far behind America's legendary ladies' men presidents and Europe's bunga-bunga leaders. But a survey released in December by the All-China Women's Federation found that a Middle Kingdom mandarin is the top pick for an ideal partner among Chinese women.

      What's the appeal? (It can't be the ill-fitting suits.) It's money, money, money. While government officials receive a modest salary – well under $1,000 a month- they can usually leverage their position for personal gain, often through shady means. A corrupt vice district head in Beijing was recently arrested for accumulating more than $ 6,5 million; in other cases the perks have reached into the hundreds of millions. And even for officials who aren't skimming off the top, a government job (and the attendant legal perks) provides a level of security that's quite desirable for China's marriage-minded ladies, especially compared with a less stable position at a state-owned or private company.

      There's also the growing reputation of Chinese government officials as a particularly virile lot. China's state-owned press often titillates readers with tales of bureaucratic sex scandals: in one major story last year, a provincial tobacco-bureau chief's diary was leaked online, with page after page of prurient details about his trysts² with young beauties (including fellow government employees). The public's reaction was generally sympathetic to the cad. One prominent blogger maintained the bureau chief was a good official because he managed to spend some time with his wife despite the womanizing, took less than $10,000 in bribes, and didn't visit prostitutes. In other words, a real catch. In a survey on the blogger's site, almost all the more than 100,000 respondents thought the official should keep his job. That's sex appeal – and popular appeal.

                                                                                       ( Newsweek, February 7, 2011.) 

apparatchiks¹ : burocratas do partido comunista chinês
trysts² : encontros secretos
De acordo com o texto, as mulheres chinesas preferem um relacionamento com funcionários do governo

CHINA'S NEW SEX SYMBOLS

BY ISAAC STONE FISH

       ASIA IN THE CATEGORY of the world's sexiest politicians, China's dour communist apparatchiks¹ would seem to be far behind America's legendary ladies' men presidents and Europe's bunga-bunga leaders. But a survey released in December by the All-China Women's Federation found that a Middle Kingdom mandarin is the top pick for an ideal partner among Chinese women.

      What's the appeal? (It can't be the ill-fitting suits.) It's money, money, money. While government officials receive a modest salary – well under $1,000 a month- they can usually leverage their position for personal gain, often through shady means. A corrupt vice district head in Beijing was recently arrested for accumulating more than $ 6,5 million; in other cases the perks have reached into the hundreds of millions. And even for officials who aren't skimming off the top, a government job (and the attendant legal perks) provides a level of security that's quite desirable for China's marriage-minded ladies, especially compared with a less stable position at a state-owned or private company.

      There's also the growing reputation of Chinese government officials as a particularly virile lot. China's state-owned press often titillates readers with tales of bureaucratic sex scandals: in one major story last year, a provincial tobacco-bureau chief's diary was leaked online, with page after page of prurient details about his trysts² with young beauties (including fellow government employees). The public's reaction was generally sympathetic to the cad. One prominent blogger maintained the bureau chief was a good official because he managed to spend some time with his wife despite the womanizing, took less than $10,000 in bribes, and didn't visit prostitutes. In other words, a real catch. In a survey on the blogger's site, almost all the more than 100,000 respondents thought the official should keep his job. That's sex appeal – and popular appeal.

                                                                                       ( Newsweek, February 7, 2011.) 

apparatchiks¹ : burocratas do partido comunista chinês
trysts² : encontros secretos
No último parágrafo do texto, o adjetivo sympathetic empregado em −The public's reaction was generally sympathetic to the CAD. − pode ser traduzido por

CHINA'S NEW SEX SYMBOLS

BY ISAAC STONE FISH

       ASIA IN THE CATEGORY of the world's sexiest politicians, China's dour communist apparatchiks¹ would seem to be far behind America's legendary ladies' men presidents and Europe's bunga-bunga leaders. But a survey released in December by the All-China Women's Federation found that a Middle Kingdom mandarin is the top pick for an ideal partner among Chinese women.

      What's the appeal? (It can't be the ill-fitting suits.) It's money, money, money. While government officials receive a modest salary – well under $1,000 a month- they can usually leverage their position for personal gain, often through shady means. A corrupt vice district head in Beijing was recently arrested for accumulating more than $ 6,5 million; in other cases the perks have reached into the hundreds of millions. And even for officials who aren't skimming off the top, a government job (and the attendant legal perks) provides a level of security that's quite desirable for China's marriage-minded ladies, especially compared with a less stable position at a state-owned or private company.

      There's also the growing reputation of Chinese government officials as a particularly virile lot. China's state-owned press often titillates readers with tales of bureaucratic sex scandals: in one major story last year, a provincial tobacco-bureau chief's diary was leaked online, with page after page of prurient details about his trysts² with young beauties (including fellow government employees). The public's reaction was generally sympathetic to the cad. One prominent blogger maintained the bureau chief was a good official because he managed to spend some time with his wife despite the womanizing, took less than $10,000 in bribes, and didn't visit prostitutes. In other words, a real catch. In a survey on the blogger's site, almost all the more than 100,000 respondents thought the official should keep his job. That's sex appeal – and popular appeal.

                                                                                       ( Newsweek, February 7, 2011.) 

apparatchiks¹ : burocratas do partido comunista chinês
trysts² : encontros secretos
No último parágrafo do texto, a preposição despite empregada em − despite the womanizing − pode ser substituída por

O sólido da figura é composto pela pirâmide quadrangular PQRST e pelo cubo ABCDEFGH, cuja aresta mede 2. Sabendo que os vértices da base da pirâmide são pontos médios dos lados do quadrado ABCD e que a distância do ponto P ao plano (A,B,C) é igual a 6, então o volume do sólido é igual a

                                            

Considere a equação polinomial x³ − 9x² + kx + 21 = 0, com k real. Se suas raízes estão em progressão aritmética, o valor de log2 (3k − 1)² é

Parte do gráfico de uma função real f, do 1° grau, está representada na figura a seguir.

                                           

Sendo g a função real definida por g(x) = x³ + x, o valor de f ⁻¹(g(1)) é

Em uma urna há dezoito bolas amarelas, algumas bolas vermelhas e outras bolas brancas, todas indistinguíveis pelo tato, e sabe-se que a quantidade de bolas brancas é igual ao dobro das vermelhas.

Se a probabilidade de se retirar, ao acaso, uma bola amarela da urna é 2/5, a quantidade de bolas vermelhas que há na urna é

Um atleta inicia seu treino a partir do repouso e começa a cronometrar seu desempenho a partir do instante em que está a uma velocidade constante. Todo o percurso feito pelo atleta pode ser descrito por meio de um gráfico da sua posição (s) em função do tempo (t), conforme figura a seguir.

                         

Se marcarmos os pontos A, B, C e D nesse gráfico, podemos afirmar que as velocidades instantâneas V_A ,V_B ,V_C e V_D, respectivamente nesses pontos, são tais que obedecem à seguinte ordem crescente:

A pressão total sobre uma bolha de ar, no fundo de um lago, é de 3 atm. Essa bolha sobe para a superfície do lago, cuja temperatura é de 27°C, e tem seu volume quadruplicado. Considerando a pressão atmosférica no local de 0,8 atm, a temperatura no fundo do lago será de, aproximadamente, em ºC,

Uma bola de basquete é solta de uma altura de 1,0 metro e, a cada colisão com o chão, ela dissipa 10% de sua energia mecânica. Após 3 toques no chão, a bola atingirá uma altura de, aproximadamente,