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Q1050861 Inglês
Which option completes the dialogue below correctly?
John: What’s the matter? Mary: My notebook isn’t working properly. I must call the technician and________ immediately.
Alternativas
Q1050860 Inglês

Which is the correct option to complete the paragraph below?


The power of a thank-you note


Thank-you notes might seem old-fashioned ________ there's plenty of value to be found in the tradition. ________ a study by Accountemps, just 24% of job applicants send thank-you notes after interviews - ________ 80% of hiring managers who receive them say they are useful in evaluating the potential of applicants. Proponents of thank-you notes say they are an inexpensive way to strengthen a relationship ________ show the applicant cares about the job.

(Adapted from https://www.linkedin.com)

Alternativas
Q1050859 Inglês
Based on the text below, answer the six questions that follow it. The paragraphs of the text are numbered.

If children lose contact with nature they won't fight for it

    [1] According to recent research, even if the present rate of global decarbonisation were to double, we would still be on course for 6°C of warming by the end of the century. Limiting the rise to 2°C, which is the target of current policies, requires a six-time reduction in carbon intensity.
    [2] A new report shows that the UK has lost 20% of its breeding birds since 1966: once common species such as willow tits, lesser spotted woodpeckers and turtle doves have all but collapsed; even house sparrows have fallen by two thirds. Ash dieback is just one of many terrifying plant diseases, mostly spread by trade. They now threaten our oaks, pines and chestnuts.
    [3] While the surveys show that the great majority of people would like to see the living planet protected, few are prepared to take action. This, I think, reflects a second environmental crisis: the removal of children from the natural world. The young people we might have expected to lead the defence of nature have less and less to do with it.
    [4] We don't have to undervalue the indoor world, which has its own rich ecosystem, to lament children's disconnection from the outdoor world. But the experiences the two spheres offer are entirely different. There is no substitute for what takes place outdoors, mostly because the greatest joys of nature are unplanned. The thought that most of our children will never swim among phosphorescent plankton at night, will never be startled by a salmon leaping, or a dolphin breaching is almost as sad as the thought that their children might not have the opportunity.
    [5] The remarkable collapse of children's engagement with nature - which is even faster than the collapse of the natural world - is recorded in Richard Louv's book Last Child in the Woods, and in a report published recently by the National Trust. Since the 1970s the area in which children may roam without supervision has decreased by almost 90%. In one generation the proportion of children regularly playing in wild places in the UK has fallen from more than half to fewer than one in 10. In the US, in just six years (1997-2003) children with particular outdoor hobbies fell by half. Eleven- to 15-year-olds in Britain now spend, on average, half their waking day in front of a screen.
    [6] There are several reasons for this collapse: parents' irrational fear of strangers and rational fear of traffic, the destruction of the fortifying lands where previous generations played, the quality of indoor entertainment, the structuring of children's time, the criminalisation of natural play. The great indoors, as a result, has become a far more dangerous place than the diminished world beyond.
    [7] The rise of obesity and asthma and the decline in cardio-respiratory fitness are well documented. Louv also links the indoor life to an increase in attention deficit hyperactivity disorder and other mental ill health. Research conducted at the University of Illinois suggests that playing among trees and grass is associated with a marked reduction in indications of ADHD, while playing indoors appears to increase them. The disorder, Louv suggests, "may be a set of symptoms aggravated by lack of exposure to nature". Perhaps it's the environment, not the child, that has gone wrong.
    [8] In her famous essay the Ecology of Imagination in Childhood, Edith Cobb proposed that contact with nature stimulates creativity. Reviewing the biographies of 300 "geniuses", she exposed a common theme: intense experiences of the natural world in the middle age of childhood (between five and 12). Animals and plants, she argued, are among "the figures of speech in the rhetoric of play... which the genius, in particular of later life, seems to remember".
    [9] Studies in several nations show that children's games are more creative in green places than in concrete playgrounds. Natural spaces encourage fantasy and roleplay, reasoning and observation. The social standing of children there depends less on physical dominance, more on inventiveness and language skills.
    [10] And here we meet the other great loss. Most of those I know who fight for nature are people who spent their childhoods immersed in it. Without a feel for the texture and function of the natural world, without an intensity of engagement almost impossible in the absence of early experience, people will not devote their lives to its protection.
    [11] Forest Schools, Outward Bound, Woodcraft Folk, the John Muir Award, the Campaign for Adventure, Natural Connections, family nature clubs and many others are trying to bring children and the natural world back together. But all of them are fighting forces which, if they cannot be changed, will deprive the living planet of the wonder and delight that for millennia have attracted children to the wilds.

(Adapted from: https://www.theguardian.com/commentisfree/2012/nov/19/children-lose-contact-with-nature)
According to the text, which option is correct?
Alternativas
Q1050858 Inglês
Based on the text below, answer the six questions that follow it. The paragraphs of the text are numbered.

If children lose contact with nature they won't fight for it

    [1] According to recent research, even if the present rate of global decarbonisation were to double, we would still be on course for 6°C of warming by the end of the century. Limiting the rise to 2°C, which is the target of current policies, requires a six-time reduction in carbon intensity.
    [2] A new report shows that the UK has lost 20% of its breeding birds since 1966: once common species such as willow tits, lesser spotted woodpeckers and turtle doves have all but collapsed; even house sparrows have fallen by two thirds. Ash dieback is just one of many terrifying plant diseases, mostly spread by trade. They now threaten our oaks, pines and chestnuts.
    [3] While the surveys show that the great majority of people would like to see the living planet protected, few are prepared to take action. This, I think, reflects a second environmental crisis: the removal of children from the natural world. The young people we might have expected to lead the defence of nature have less and less to do with it.
    [4] We don't have to undervalue the indoor world, which has its own rich ecosystem, to lament children's disconnection from the outdoor world. But the experiences the two spheres offer are entirely different. There is no substitute for what takes place outdoors, mostly because the greatest joys of nature are unplanned. The thought that most of our children will never swim among phosphorescent plankton at night, will never be startled by a salmon leaping, or a dolphin breaching is almost as sad as the thought that their children might not have the opportunity.
    [5] The remarkable collapse of children's engagement with nature - which is even faster than the collapse of the natural world - is recorded in Richard Louv's book Last Child in the Woods, and in a report published recently by the National Trust. Since the 1970s the area in which children may roam without supervision has decreased by almost 90%. In one generation the proportion of children regularly playing in wild places in the UK has fallen from more than half to fewer than one in 10. In the US, in just six years (1997-2003) children with particular outdoor hobbies fell by half. Eleven- to 15-year-olds in Britain now spend, on average, half their waking day in front of a screen.
    [6] There are several reasons for this collapse: parents' irrational fear of strangers and rational fear of traffic, the destruction of the fortifying lands where previous generations played, the quality of indoor entertainment, the structuring of children's time, the criminalisation of natural play. The great indoors, as a result, has become a far more dangerous place than the diminished world beyond.
    [7] The rise of obesity and asthma and the decline in cardio-respiratory fitness are well documented. Louv also links the indoor life to an increase in attention deficit hyperactivity disorder and other mental ill health. Research conducted at the University of Illinois suggests that playing among trees and grass is associated with a marked reduction in indications of ADHD, while playing indoors appears to increase them. The disorder, Louv suggests, "may be a set of symptoms aggravated by lack of exposure to nature". Perhaps it's the environment, not the child, that has gone wrong.
    [8] In her famous essay the Ecology of Imagination in Childhood, Edith Cobb proposed that contact with nature stimulates creativity. Reviewing the biographies of 300 "geniuses", she exposed a common theme: intense experiences of the natural world in the middle age of childhood (between five and 12). Animals and plants, she argued, are among "the figures of speech in the rhetoric of play... which the genius, in particular of later life, seems to remember".
    [9] Studies in several nations show that children's games are more creative in green places than in concrete playgrounds. Natural spaces encourage fantasy and roleplay, reasoning and observation. The social standing of children there depends less on physical dominance, more on inventiveness and language skills.
    [10] And here we meet the other great loss. Most of those I know who fight for nature are people who spent their childhoods immersed in it. Without a feel for the texture and function of the natural world, without an intensity of engagement almost impossible in the absence of early experience, people will not devote their lives to its protection.
    [11] Forest Schools, Outward Bound, Woodcraft Folk, the John Muir Award, the Campaign for Adventure, Natural Connections, family nature clubs and many others are trying to bring children and the natural world back together. But all of them are fighting forces which, if they cannot be changed, will deprive the living planet of the wonder and delight that for millennia have attracted children to the wilds.

(Adapted from: https://www.theguardian.com/commentisfree/2012/nov/19/children-lose-contact-with-nature)
In paragraph 9, the word "there” refers to
Alternativas
Q1050857 Inglês
Based on the text below, answer the six questions that follow it. The paragraphs of the text are numbered.

If children lose contact with nature they won't fight for it

    [1] According to recent research, even if the present rate of global decarbonisation were to double, we would still be on course for 6°C of warming by the end of the century. Limiting the rise to 2°C, which is the target of current policies, requires a six-time reduction in carbon intensity.
    [2] A new report shows that the UK has lost 20% of its breeding birds since 1966: once common species such as willow tits, lesser spotted woodpeckers and turtle doves have all but collapsed; even house sparrows have fallen by two thirds. Ash dieback is just one of many terrifying plant diseases, mostly spread by trade. They now threaten our oaks, pines and chestnuts.
    [3] While the surveys show that the great majority of people would like to see the living planet protected, few are prepared to take action. This, I think, reflects a second environmental crisis: the removal of children from the natural world. The young people we might have expected to lead the defence of nature have less and less to do with it.
    [4] We don't have to undervalue the indoor world, which has its own rich ecosystem, to lament children's disconnection from the outdoor world. But the experiences the two spheres offer are entirely different. There is no substitute for what takes place outdoors, mostly because the greatest joys of nature are unplanned. The thought that most of our children will never swim among phosphorescent plankton at night, will never be startled by a salmon leaping, or a dolphin breaching is almost as sad as the thought that their children might not have the opportunity.
    [5] The remarkable collapse of children's engagement with nature - which is even faster than the collapse of the natural world - is recorded in Richard Louv's book Last Child in the Woods, and in a report published recently by the National Trust. Since the 1970s the area in which children may roam without supervision has decreased by almost 90%. In one generation the proportion of children regularly playing in wild places in the UK has fallen from more than half to fewer than one in 10. In the US, in just six years (1997-2003) children with particular outdoor hobbies fell by half. Eleven- to 15-year-olds in Britain now spend, on average, half their waking day in front of a screen.
    [6] There are several reasons for this collapse: parents' irrational fear of strangers and rational fear of traffic, the destruction of the fortifying lands where previous generations played, the quality of indoor entertainment, the structuring of children's time, the criminalisation of natural play. The great indoors, as a result, has become a far more dangerous place than the diminished world beyond.
    [7] The rise of obesity and asthma and the decline in cardio-respiratory fitness are well documented. Louv also links the indoor life to an increase in attention deficit hyperactivity disorder and other mental ill health. Research conducted at the University of Illinois suggests that playing among trees and grass is associated with a marked reduction in indications of ADHD, while playing indoors appears to increase them. The disorder, Louv suggests, "may be a set of symptoms aggravated by lack of exposure to nature". Perhaps it's the environment, not the child, that has gone wrong.
    [8] In her famous essay the Ecology of Imagination in Childhood, Edith Cobb proposed that contact with nature stimulates creativity. Reviewing the biographies of 300 "geniuses", she exposed a common theme: intense experiences of the natural world in the middle age of childhood (between five and 12). Animals and plants, she argued, are among "the figures of speech in the rhetoric of play... which the genius, in particular of later life, seems to remember".
    [9] Studies in several nations show that children's games are more creative in green places than in concrete playgrounds. Natural spaces encourage fantasy and roleplay, reasoning and observation. The social standing of children there depends less on physical dominance, more on inventiveness and language skills.
    [10] And here we meet the other great loss. Most of those I know who fight for nature are people who spent their childhoods immersed in it. Without a feel for the texture and function of the natural world, without an intensity of engagement almost impossible in the absence of early experience, people will not devote their lives to its protection.
    [11] Forest Schools, Outward Bound, Woodcraft Folk, the John Muir Award, the Campaign for Adventure, Natural Connections, family nature clubs and many others are trying to bring children and the natural world back together. But all of them are fighting forces which, if they cannot be changed, will deprive the living planet of the wonder and delight that for millennia have attracted children to the wilds.

(Adapted from: https://www.theguardian.com/commentisfree/2012/nov/19/children-lose-contact-with-nature)
According to the text, which option is correct?
Alternativas
Q1050856 Inglês
Based on the text below, answer the six questions that follow it. The paragraphs of the text are numbered.

If children lose contact with nature they won't fight for it

    [1] According to recent research, even if the present rate of global decarbonisation were to double, we would still be on course for 6°C of warming by the end of the century. Limiting the rise to 2°C, which is the target of current policies, requires a six-time reduction in carbon intensity.
    [2] A new report shows that the UK has lost 20% of its breeding birds since 1966: once common species such as willow tits, lesser spotted woodpeckers and turtle doves have all but collapsed; even house sparrows have fallen by two thirds. Ash dieback is just one of many terrifying plant diseases, mostly spread by trade. They now threaten our oaks, pines and chestnuts.
    [3] While the surveys show that the great majority of people would like to see the living planet protected, few are prepared to take action. This, I think, reflects a second environmental crisis: the removal of children from the natural world. The young people we might have expected to lead the defence of nature have less and less to do with it.
    [4] We don't have to undervalue the indoor world, which has its own rich ecosystem, to lament children's disconnection from the outdoor world. But the experiences the two spheres offer are entirely different. There is no substitute for what takes place outdoors, mostly because the greatest joys of nature are unplanned. The thought that most of our children will never swim among phosphorescent plankton at night, will never be startled by a salmon leaping, or a dolphin breaching is almost as sad as the thought that their children might not have the opportunity.
    [5] The remarkable collapse of children's engagement with nature - which is even faster than the collapse of the natural world - is recorded in Richard Louv's book Last Child in the Woods, and in a report published recently by the National Trust. Since the 1970s the area in which children may roam without supervision has decreased by almost 90%. In one generation the proportion of children regularly playing in wild places in the UK has fallen from more than half to fewer than one in 10. In the US, in just six years (1997-2003) children with particular outdoor hobbies fell by half. Eleven- to 15-year-olds in Britain now spend, on average, half their waking day in front of a screen.
    [6] There are several reasons for this collapse: parents' irrational fear of strangers and rational fear of traffic, the destruction of the fortifying lands where previous generations played, the quality of indoor entertainment, the structuring of children's time, the criminalisation of natural play. The great indoors, as a result, has become a far more dangerous place than the diminished world beyond.
    [7] The rise of obesity and asthma and the decline in cardio-respiratory fitness are well documented. Louv also links the indoor life to an increase in attention deficit hyperactivity disorder and other mental ill health. Research conducted at the University of Illinois suggests that playing among trees and grass is associated with a marked reduction in indications of ADHD, while playing indoors appears to increase them. The disorder, Louv suggests, "may be a set of symptoms aggravated by lack of exposure to nature". Perhaps it's the environment, not the child, that has gone wrong.
    [8] In her famous essay the Ecology of Imagination in Childhood, Edith Cobb proposed that contact with nature stimulates creativity. Reviewing the biographies of 300 "geniuses", she exposed a common theme: intense experiences of the natural world in the middle age of childhood (between five and 12). Animals and plants, she argued, are among "the figures of speech in the rhetoric of play... which the genius, in particular of later life, seems to remember".
    [9] Studies in several nations show that children's games are more creative in green places than in concrete playgrounds. Natural spaces encourage fantasy and roleplay, reasoning and observation. The social standing of children there depends less on physical dominance, more on inventiveness and language skills.
    [10] And here we meet the other great loss. Most of those I know who fight for nature are people who spent their childhoods immersed in it. Without a feel for the texture and function of the natural world, without an intensity of engagement almost impossible in the absence of early experience, people will not devote their lives to its protection.
    [11] Forest Schools, Outward Bound, Woodcraft Folk, the John Muir Award, the Campaign for Adventure, Natural Connections, family nature clubs and many others are trying to bring children and the natural world back together. But all of them are fighting forces which, if they cannot be changed, will deprive the living planet of the wonder and delight that for millennia have attracted children to the wilds.

(Adapted from: https://www.theguardian.com/commentisfree/2012/nov/19/children-lose-contact-with-nature)
According to the text, which option is correct?
Alternativas
Q1050855 Inglês
Based on the text below, answer the six questions that follow it. The paragraphs of the text are numbered.

If children lose contact with nature they won't fight for it

    [1] According to recent research, even if the present rate of global decarbonisation were to double, we would still be on course for 6°C of warming by the end of the century. Limiting the rise to 2°C, which is the target of current policies, requires a six-time reduction in carbon intensity.
    [2] A new report shows that the UK has lost 20% of its breeding birds since 1966: once common species such as willow tits, lesser spotted woodpeckers and turtle doves have all but collapsed; even house sparrows have fallen by two thirds. Ash dieback is just one of many terrifying plant diseases, mostly spread by trade. They now threaten our oaks, pines and chestnuts.
    [3] While the surveys show that the great majority of people would like to see the living planet protected, few are prepared to take action. This, I think, reflects a second environmental crisis: the removal of children from the natural world. The young people we might have expected to lead the defence of nature have less and less to do with it.
    [4] We don't have to undervalue the indoor world, which has its own rich ecosystem, to lament children's disconnection from the outdoor world. But the experiences the two spheres offer are entirely different. There is no substitute for what takes place outdoors, mostly because the greatest joys of nature are unplanned. The thought that most of our children will never swim among phosphorescent plankton at night, will never be startled by a salmon leaping, or a dolphin breaching is almost as sad as the thought that their children might not have the opportunity.
    [5] The remarkable collapse of children's engagement with nature - which is even faster than the collapse of the natural world - is recorded in Richard Louv's book Last Child in the Woods, and in a report published recently by the National Trust. Since the 1970s the area in which children may roam without supervision has decreased by almost 90%. In one generation the proportion of children regularly playing in wild places in the UK has fallen from more than half to fewer than one in 10. In the US, in just six years (1997-2003) children with particular outdoor hobbies fell by half. Eleven- to 15-year-olds in Britain now spend, on average, half their waking day in front of a screen.
    [6] There are several reasons for this collapse: parents' irrational fear of strangers and rational fear of traffic, the destruction of the fortifying lands where previous generations played, the quality of indoor entertainment, the structuring of children's time, the criminalisation of natural play. The great indoors, as a result, has become a far more dangerous place than the diminished world beyond.
    [7] The rise of obesity and asthma and the decline in cardio-respiratory fitness are well documented. Louv also links the indoor life to an increase in attention deficit hyperactivity disorder and other mental ill health. Research conducted at the University of Illinois suggests that playing among trees and grass is associated with a marked reduction in indications of ADHD, while playing indoors appears to increase them. The disorder, Louv suggests, "may be a set of symptoms aggravated by lack of exposure to nature". Perhaps it's the environment, not the child, that has gone wrong.
    [8] In her famous essay the Ecology of Imagination in Childhood, Edith Cobb proposed that contact with nature stimulates creativity. Reviewing the biographies of 300 "geniuses", she exposed a common theme: intense experiences of the natural world in the middle age of childhood (between five and 12). Animals and plants, she argued, are among "the figures of speech in the rhetoric of play... which the genius, in particular of later life, seems to remember".
    [9] Studies in several nations show that children's games are more creative in green places than in concrete playgrounds. Natural spaces encourage fantasy and roleplay, reasoning and observation. The social standing of children there depends less on physical dominance, more on inventiveness and language skills.
    [10] And here we meet the other great loss. Most of those I know who fight for nature are people who spent their childhoods immersed in it. Without a feel for the texture and function of the natural world, without an intensity of engagement almost impossible in the absence of early experience, people will not devote their lives to its protection.
    [11] Forest Schools, Outward Bound, Woodcraft Folk, the John Muir Award, the Campaign for Adventure, Natural Connections, family nature clubs and many others are trying to bring children and the natural world back together. But all of them are fighting forces which, if they cannot be changed, will deprive the living planet of the wonder and delight that for millennia have attracted children to the wilds.

(Adapted from: https://www.theguardian.com/commentisfree/2012/nov/19/children-lose-contact-with-nature)
What’s the meaning of the word “engagement” in paragraph 5?
Alternativas
Q1050854 Inglês
Based on the text below, answer the six questions that follow it. The paragraphs of the text are numbered.

If children lose contact with nature they won't fight for it

    [1] According to recent research, even if the present rate of global decarbonisation were to double, we would still be on course for 6°C of warming by the end of the century. Limiting the rise to 2°C, which is the target of current policies, requires a six-time reduction in carbon intensity.
    [2] A new report shows that the UK has lost 20% of its breeding birds since 1966: once common species such as willow tits, lesser spotted woodpeckers and turtle doves have all but collapsed; even house sparrows have fallen by two thirds. Ash dieback is just one of many terrifying plant diseases, mostly spread by trade. They now threaten our oaks, pines and chestnuts.
    [3] While the surveys show that the great majority of people would like to see the living planet protected, few are prepared to take action. This, I think, reflects a second environmental crisis: the removal of children from the natural world. The young people we might have expected to lead the defence of nature have less and less to do with it.
    [4] We don't have to undervalue the indoor world, which has its own rich ecosystem, to lament children's disconnection from the outdoor world. But the experiences the two spheres offer are entirely different. There is no substitute for what takes place outdoors, mostly because the greatest joys of nature are unplanned. The thought that most of our children will never swim among phosphorescent plankton at night, will never be startled by a salmon leaping, or a dolphin breaching is almost as sad as the thought that their children might not have the opportunity.
    [5] The remarkable collapse of children's engagement with nature - which is even faster than the collapse of the natural world - is recorded in Richard Louv's book Last Child in the Woods, and in a report published recently by the National Trust. Since the 1970s the area in which children may roam without supervision has decreased by almost 90%. In one generation the proportion of children regularly playing in wild places in the UK has fallen from more than half to fewer than one in 10. In the US, in just six years (1997-2003) children with particular outdoor hobbies fell by half. Eleven- to 15-year-olds in Britain now spend, on average, half their waking day in front of a screen.
    [6] There are several reasons for this collapse: parents' irrational fear of strangers and rational fear of traffic, the destruction of the fortifying lands where previous generations played, the quality of indoor entertainment, the structuring of children's time, the criminalisation of natural play. The great indoors, as a result, has become a far more dangerous place than the diminished world beyond.
    [7] The rise of obesity and asthma and the decline in cardio-respiratory fitness are well documented. Louv also links the indoor life to an increase in attention deficit hyperactivity disorder and other mental ill health. Research conducted at the University of Illinois suggests that playing among trees and grass is associated with a marked reduction in indications of ADHD, while playing indoors appears to increase them. The disorder, Louv suggests, "may be a set of symptoms aggravated by lack of exposure to nature". Perhaps it's the environment, not the child, that has gone wrong.
    [8] In her famous essay the Ecology of Imagination in Childhood, Edith Cobb proposed that contact with nature stimulates creativity. Reviewing the biographies of 300 "geniuses", she exposed a common theme: intense experiences of the natural world in the middle age of childhood (between five and 12). Animals and plants, she argued, are among "the figures of speech in the rhetoric of play... which the genius, in particular of later life, seems to remember".
    [9] Studies in several nations show that children's games are more creative in green places than in concrete playgrounds. Natural spaces encourage fantasy and roleplay, reasoning and observation. The social standing of children there depends less on physical dominance, more on inventiveness and language skills.
    [10] And here we meet the other great loss. Most of those I know who fight for nature are people who spent their childhoods immersed in it. Without a feel for the texture and function of the natural world, without an intensity of engagement almost impossible in the absence of early experience, people will not devote their lives to its protection.
    [11] Forest Schools, Outward Bound, Woodcraft Folk, the John Muir Award, the Campaign for Adventure, Natural Connections, family nature clubs and many others are trying to bring children and the natural world back together. But all of them are fighting forces which, if they cannot be changed, will deprive the living planet of the wonder and delight that for millennia have attracted children to the wilds.

(Adapted from: https://www.theguardian.com/commentisfree/2012/nov/19/children-lose-contact-with-nature)
According to the text, which option completes the sentence below correctly?
The current policies aim at a ________ in the rise of temperatures by the end of the century.
Alternativas
Q1050853 Matemática
Uma loja de bombons está com o seguinte cartaz de promoção: “compre x bombons e ganhe x% de desconto”. A promoção é válida para compras de até 60 bombons, caso em que é concedido o desconto máximo de 60 %. Maria, Flávio, Gisele, Felipe, Evandro e Diego compram 53,40,33,47,38 e 57 bombons, respectivamente. Nessas condições, assinale a opção que apresenta o nome das pessoas que poderiam ter comprado mais bombons e pago a mesma quantia inicial.
Alternativas
Q1050852 Matemática
Considere um conjunto de números inteiros A = {1,2,3, ...,n}, com n elementos. Se retirarmos um número do conjunto A, a média aritmética dos elementos restante é 16,4. Sabendo que p é o número que foi retirado, determine |p - n| e assinale a opção correta.
Alternativas
Q1050851 Matemática
Sabendo que f é uma função definida por f{x) = xx e que D é o domínio de f, é correto afirmar que:
Alternativas
Q1050850 Matemática
Três amigos marcam um encontro na frente do estádio Nilton Santos para assistir a uma partida de futebol. Eles combinaram que cada um deverá chegar em um momento escolhido entre 15h00 e 16h00 e que nenhum deles esperará mais de 30 minutos pelos demais, dentro do horário estipulado. Qua é a probabilidade de que os três amigos se encontrem entre 15h00 e 16h00?
Imagem associada para resolução da questão
Alternativas
Q1050849 Matemática
Considere que para obter a posição de um navio, navegando em um canal, faz-se o uso de três retas. Essas retas são tomadas sob o olhar de três pontos notáveis e de três marcações angulares feitas por vigias no navio, sempre com o navio em movimento. As interseções dessas retas geram uma região triangular de área X e não acontecem em um único ponto. A região triangular é chamada de triângulo de incerteza e quanto menor o valor de X melhor é a precisão da marcação da posição do navio no canal. Suponha que depois de feitas as marcações as três retas obtidas tenham as equações r1: 2x + y - 6 = 0, r2: (1/2,1) + t (1/6,1), t , e r3: Imagem associada para resolução da questão, λ ℜ. Sendo assim, assinale a opção que indica a área da região triangular X determinadas por r1, r2 e r3.
Alternativas
Q1050847 Matemática
Um círculo, contido no plano x - 2y + 4 = 0, de centro (4,4,4) e raio 5, é projetado ortogonalmente no plano y = 0, formando uma figura plana de área, em unidades de área, igual a:
Alternativas
Q1050846 Matemática
Seja z um número complexo da forma z = a + ib, no qual i é a unidade imaginária. Seja k   de modo que k é o menor limitante superior para Imagem associada para resolução da questão, quando |z| = 2.
Sendo assim, assinale a opção que apresenta o intervalo ao qual k pertença.
Alternativas
Q1050844 Matemática
Seja a curva determinada pelo lugar geométrico dos centros das circunferências no 2, que tangenciam a reta x = 2 e passam pelo ponto (6,4). Sendo assim, a reta tangente a essa curva pelo ponto (6,8) possui equação:
Alternativas
Q1050843 Matemática
Seja W o conjunto dos números múltiplos de 2 ou P, em que P é um primo ímpar. Sabendo que 3/5 de W, que são múltiplos de P, são ímpares; 2/5 de W são ímpares; e 77 elementos de W não são múltiplos de 2P, pode-se afirmar que a quantidade de elemenos de W que são ímpares é um número múltiplo de:
Alternativas
Q1050842 Matemática
Seja a função f definida por f(x) = 2e-x, (1 - 2e-x), cujo gráfico está representado a seguir, e seja o número real ln α, tal que f(ln α) = 0.
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Tomemos um valor real positivo h, tal que a área compreendida entre o gráfico da função e o eixo das abscissas no intervalo [ln(α - h); In(α)] seja igual à área compreendida entre o gráfico da função e o eixo das abscissas no intervalo [ln(α); ln(α + h)]. Nesse sentido, pode-se afirmar que:
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Q1050840 Matemática
Um raio luminoso parte do ponto A(-1, 6, 2), reflete na superfície refletora do plano x= -5 , no ponto E, e atinge o ponto B(2,2,4). Indique a somas das coordenadas do ponto E.
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Q1050839 Raciocínio Lógico
Quantos são os anagramas de MARINHA, em que somente uma vogal apareça em sua posição de origem?
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Respostas
1141: B
1142: A
1143: C
1144: E
1145: C
1146: A
1147: C
1148: D
1149: E
1150: A
1151: D
1152: C
1153: D
1154: A
1155: A
1156: D
1157: C
1158: E
1159: A
1160: B