Questões Militares Para aluno do ime

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Q678203 Matemática
Uma hipérbole de excentricidade √2 tem centro na origem e passa pelo ponto ( √5 ,1). A equação de uma reta tangente a esta hipérbole e paralela a y = 2x é:
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Q678202 Matemática
A quantidade k de números naturais positivos, menores do que 1000, que não são divisíveis por 6 ou 8, satisfaz a condição:
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Q678201 Matemática

Seja o polinômio p(x) = x3+ (ln a) x +eb, onde a e b são números reais positivos diferentes de zero. A soma dos cubos das raízes de p(x) depende

Obs.: e representa a base do logaritmo neperiano e ln a função logaritmo neperiano.

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Q678200 Matemática
Seja S = 12 + 32 + 52 + 72+ ....+ 792. O valor de S satisfaz:
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Q678198 Matemática
Seja ABC um triângulo de lados AB, BC e AC iguais a 26, 28 e 18, respectivamente. Considere o círculo de centro O inscrito nesse triângulo. A distância AO vale:
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Q678196 Matemática

Considere o determinante de uma matriz de ordem n definido por:

Imagem associada para resolução da questão

Sabendo que ∆1 = 1, o valor de ∆10 é


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Q678195 Matemática

Sejam r, s, t e v números inteiros positivos tais que r/s < t/v . Considere as seguintes relações:

Imagem associada para resolução da questão

O número total de relações que estão corretas é:

Alternativas
Q677524 Inglês

Billions of dollars spent on defeating improvised explosive devices (IED) are beginning to show what technology can and cannot do for the evolving struggle.

Two platoons of U.S. Army scouts are in a field deep in the notorious “Triangle of Death” south of Baghdad, a region of countless clashes between Sunni insurgents and Shia militias. The platoons are guided by a local man who’s warned them of pressure-plate improvised explosive devices, designed to explode when stepped on. He has assured them that he knows where the IED’s are, which means he is almost certainly a former Sunni insurgent.

The platoons come under harassing fire. It stops, but later the tension mounts again as they maneuver near an abandoned house known to shelter al-Qaeda fighters. A shot rings out; the scouts take cover. They don’t realize it’s just their local guide, with an itchy trigger finger, taking the potshot at the house. The lieutenant leading the patrol summons three riflemen to cover the abandoned house.

Then all hell breaks loose. One of the riflemen, a sergeant, steps on a pressure-plate IED. The blast badly injures him, the two other riflemen, and the lieutenant. A Navy explosives specialist along on the mission immediately springs into action, using classified gear to comb the area for more bombs. Until he gives the all clear, no one can move, not even to tend the bleeding men. Meanwhile, one of the frozen-inspace scouts notices another IED right next to him and gives a shout, provoking more combing in his area. Then a big area has to be cleared so that the medevac helicopter already on the way can land.

That incident, which took place on 7 November 2007, exhibits many of the hallmarks of the missions in Iraq and Afghanistan – a small patrol; a local man of dubious background; Navy specialists working with soldiers on dry land; and costly technologies pressed into service against cheap and crude weapons. And, most of all, death by IED.  

The word underlined in the sentence “That incident, which took place on 7 November 2007, exhibits many of the hallmarks of the missions in Iraq and Afghanistan ...” can be replaced by which of the following expressions, still keeping the same meaning?
Alternativas
Q677523 Inglês

Billions of dollars spent on defeating improvised explosive devices (IED) are beginning to show what technology can and cannot do for the evolving struggle.

Two platoons of U.S. Army scouts are in a field deep in the notorious “Triangle of Death” south of Baghdad, a region of countless clashes between Sunni insurgents and Shia militias. The platoons are guided by a local man who’s warned them of pressure-plate improvised explosive devices, designed to explode when stepped on. He has assured them that he knows where the IED’s are, which means he is almost certainly a former Sunni insurgent.

The platoons come under harassing fire. It stops, but later the tension mounts again as they maneuver near an abandoned house known to shelter al-Qaeda fighters. A shot rings out; the scouts take cover. They don’t realize it’s just their local guide, with an itchy trigger finger, taking the potshot at the house. The lieutenant leading the patrol summons three riflemen to cover the abandoned house.

Then all hell breaks loose. One of the riflemen, a sergeant, steps on a pressure-plate IED. The blast badly injures him, the two other riflemen, and the lieutenant. A Navy explosives specialist along on the mission immediately springs into action, using classified gear to comb the area for more bombs. Until he gives the all clear, no one can move, not even to tend the bleeding men. Meanwhile, one of the frozen-inspace scouts notices another IED right next to him and gives a shout, provoking more combing in his area. Then a big area has to be cleared so that the medevac helicopter already on the way can land.

That incident, which took place on 7 November 2007, exhibits many of the hallmarks of the missions in Iraq and Afghanistan – a small patrol; a local man of dubious background; Navy specialists working with soldiers on dry land; and costly technologies pressed into service against cheap and crude weapons. And, most of all, death by IED.  

The sentence “Then all hell breaks loose.” means that ...
Alternativas
Q677522 Inglês

Billions of dollars spent on defeating improvised explosive devices (IED) are beginning to show what technology can and cannot do for the evolving struggle.

Two platoons of U.S. Army scouts are in a field deep in the notorious “Triangle of Death” south of Baghdad, a region of countless clashes between Sunni insurgents and Shia militias. The platoons are guided by a local man who’s warned them of pressure-plate improvised explosive devices, designed to explode when stepped on. He has assured them that he knows where the IED’s are, which means he is almost certainly a former Sunni insurgent.

The platoons come under harassing fire. It stops, but later the tension mounts again as they maneuver near an abandoned house known to shelter al-Qaeda fighters. A shot rings out; the scouts take cover. They don’t realize it’s just their local guide, with an itchy trigger finger, taking the potshot at the house. The lieutenant leading the patrol summons three riflemen to cover the abandoned house.

Then all hell breaks loose. One of the riflemen, a sergeant, steps on a pressure-plate IED. The blast badly injures him, the two other riflemen, and the lieutenant. A Navy explosives specialist along on the mission immediately springs into action, using classified gear to comb the area for more bombs. Until he gives the all clear, no one can move, not even to tend the bleeding men. Meanwhile, one of the frozen-inspace scouts notices another IED right next to him and gives a shout, provoking more combing in his area. Then a big area has to be cleared so that the medevac helicopter already on the way can land.

That incident, which took place on 7 November 2007, exhibits many of the hallmarks of the missions in Iraq and Afghanistan – a small patrol; a local man of dubious background; Navy specialists working with soldiers on dry land; and costly technologies pressed into service against cheap and crude weapons. And, most of all, death by IED.  

According to the text, it is correct to say that improvised explosive devices ...
Alternativas
Q677521 Inglês

Billions of dollars spent on defeating improvised explosive devices (IED) are beginning to show what technology can and cannot do for the evolving struggle.

Two platoons of U.S. Army scouts are in a field deep in the notorious “Triangle of Death” south of Baghdad, a region of countless clashes between Sunni insurgents and Shia militias. The platoons are guided by a local man who’s warned them of pressure-plate improvised explosive devices, designed to explode when stepped on. He has assured them that he knows where the IED’s are, which means he is almost certainly a former Sunni insurgent.

The platoons come under harassing fire. It stops, but later the tension mounts again as they maneuver near an abandoned house known to shelter al-Qaeda fighters. A shot rings out; the scouts take cover. They don’t realize it’s just their local guide, with an itchy trigger finger, taking the potshot at the house. The lieutenant leading the patrol summons three riflemen to cover the abandoned house.

Then all hell breaks loose. One of the riflemen, a sergeant, steps on a pressure-plate IED. The blast badly injures him, the two other riflemen, and the lieutenant. A Navy explosives specialist along on the mission immediately springs into action, using classified gear to comb the area for more bombs. Until he gives the all clear, no one can move, not even to tend the bleeding men. Meanwhile, one of the frozen-inspace scouts notices another IED right next to him and gives a shout, provoking more combing in his area. Then a big area has to be cleared so that the medevac helicopter already on the way can land.

That incident, which took place on 7 November 2007, exhibits many of the hallmarks of the missions in Iraq and Afghanistan – a small patrol; a local man of dubious background; Navy specialists working with soldiers on dry land; and costly technologies pressed into service against cheap and crude weapons. And, most of all, death by IED.  

The guide of the U.S. platoon ...
Alternativas
Q677520 Inglês

Billions of dollars spent on defeating improvised explosive devices (IED) are beginning to show what technology can and cannot do for the evolving struggle.

Two platoons of U.S. Army scouts are in a field deep in the notorious “Triangle of Death” south of Baghdad, a region of countless clashes between Sunni insurgents and Shia militias. The platoons are guided by a local man who’s warned them of pressure-plate improvised explosive devices, designed to explode when stepped on. He has assured them that he knows where the IED’s are, which means he is almost certainly a former Sunni insurgent.

The platoons come under harassing fire. It stops, but later the tension mounts again as they maneuver near an abandoned house known to shelter al-Qaeda fighters. A shot rings out; the scouts take cover. They don’t realize it’s just their local guide, with an itchy trigger finger, taking the potshot at the house. The lieutenant leading the patrol summons three riflemen to cover the abandoned house.

Then all hell breaks loose. One of the riflemen, a sergeant, steps on a pressure-plate IED. The blast badly injures him, the two other riflemen, and the lieutenant. A Navy explosives specialist along on the mission immediately springs into action, using classified gear to comb the area for more bombs. Until he gives the all clear, no one can move, not even to tend the bleeding men. Meanwhile, one of the frozen-inspace scouts notices another IED right next to him and gives a shout, provoking more combing in his area. Then a big area has to be cleared so that the medevac helicopter already on the way can land.

That incident, which took place on 7 November 2007, exhibits many of the hallmarks of the missions in Iraq and Afghanistan – a small patrol; a local man of dubious background; Navy specialists working with soldiers on dry land; and costly technologies pressed into service against cheap and crude weapons. And, most of all, death by IED.  

The scene narrated in this passage shows that...
Alternativas
Q677519 Inglês

Billions of dollars spent on defeating improvised explosive devices (IED) are beginning to show what technology can and cannot do for the evolving struggle.

Two platoons of U.S. Army scouts are in a field deep in the notorious “Triangle of Death” south of Baghdad, a region of countless clashes between Sunni insurgents and Shia militias. The platoons are guided by a local man who’s warned them of pressure-plate improvised explosive devices, designed to explode when stepped on. He has assured them that he knows where the IED’s are, which means he is almost certainly a former Sunni insurgent.

The platoons come under harassing fire. It stops, but later the tension mounts again as they maneuver near an abandoned house known to shelter al-Qaeda fighters. A shot rings out; the scouts take cover. They don’t realize it’s just their local guide, with an itchy trigger finger, taking the potshot at the house. The lieutenant leading the patrol summons three riflemen to cover the abandoned house.

Then all hell breaks loose. One of the riflemen, a sergeant, steps on a pressure-plate IED. The blast badly injures him, the two other riflemen, and the lieutenant. A Navy explosives specialist along on the mission immediately springs into action, using classified gear to comb the area for more bombs. Until he gives the all clear, no one can move, not even to tend the bleeding men. Meanwhile, one of the frozen-inspace scouts notices another IED right next to him and gives a shout, provoking more combing in his area. Then a big area has to be cleared so that the medevac helicopter already on the way can land.

That incident, which took place on 7 November 2007, exhibits many of the hallmarks of the missions in Iraq and Afghanistan – a small patrol; a local man of dubious background; Navy specialists working with soldiers on dry land; and costly technologies pressed into service against cheap and crude weapons. And, most of all, death by IED.  

What scene is narrated in this passage?
Alternativas
Q677518 Inglês
In countless panel discussions on the future of technology, I’m not sure I ever got anything right. As I look back on technological progress, I experience first retrospective surprise, then surprise that I’m surprised, because it all crept up on me when I wasn’t looking. How can something like Google feel so inevitable and yet be impossible to predict? I’m filled with wonder at all that we engineers have accomplished, and I take great communal pride in how we’ve changed the world in so many ways. Decades ago I never dreamed we would have satellite navigation, computers in our pockets, the Internet, cellphones, neither robots that would explore Mars. How did all this happen, and what are we doing for our next trick? The software pioneer Alan Kay has said that the best way to predict the future is to invent it, and that’s what we’ve been busy doing. 
According to the passage, we can say that its author
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Q677517 Inglês
In countless panel discussions on the future of technology, I’m not sure I ever got anything right. As I look back on technological progress, I experience first retrospective surprise, then surprise that I’m surprised, because it all crept up on me when I wasn’t looking. How can something like Google feel so inevitable and yet be impossible to predict? I’m filled with wonder at all that we engineers have accomplished, and I take great communal pride in how we’ve changed the world in so many ways. Decades ago I never dreamed we would have satellite navigation, computers in our pockets, the Internet, cellphones, neither robots that would explore Mars. How did all this happen, and what are we doing for our next trick? The software pioneer Alan Kay has said that the best way to predict the future is to invent it, and that’s what we’ve been busy doing. 
 In the sentence “Decades ago I never dreamed we would have satellite navigation, computers in our pockets, the Internet, cellphones, neither robots that would explore Mars.” the word 'neither' can be changed for which of the following words, still keeping the same meaning and grammatical accuracy? 
Alternativas
Q677516 Inglês
In countless panel discussions on the future of technology, I’m not sure I ever got anything right. As I look back on technological progress, I experience first retrospective surprise, then surprise that I’m surprised, because it all crept up on me when I wasn’t looking. How can something like Google feel so inevitable and yet be impossible to predict? I’m filled with wonder at all that we engineers have accomplished, and I take great communal pride in how we’ve changed the world in so many ways. Decades ago I never dreamed we would have satellite navigation, computers in our pockets, the Internet, cellphones, neither robots that would explore Mars. How did all this happen, and what are we doing for our next trick? The software pioneer Alan Kay has said that the best way to predict the future is to invent it, and that’s what we’ve been busy doing. 
The sentence “How can something like Google feel so inevitable and yet be impossible to predict?” means that …
Alternativas
Q677515 Inglês
In countless panel discussions on the future of technology, I’m not sure I ever got anything right. As I look back on technological progress, I experience first retrospective surprise, then surprise that I’m surprised, because it all crept up on me when I wasn’t looking. How can something like Google feel so inevitable and yet be impossible to predict? I’m filled with wonder at all that we engineers have accomplished, and I take great communal pride in how we’ve changed the world in so many ways. Decades ago I never dreamed we would have satellite navigation, computers in our pockets, the Internet, cellphones, neither robots that would explore Mars. How did all this happen, and what are we doing for our next trick? The software pioneer Alan Kay has said that the best way to predict the future is to invent it, and that’s what we’ve been busy doing. 
The word 'it', underlined in the sentence “As I look back on technological progress, I experience first retrospective surprise, then surprise that I’m surprised, because it all crept up on me when I wasn’t looking” refers to which idea mentioned in the text?
Alternativas
Q677514 Inglês
Glaciers at the equator. The legendary source of the River Nile. Mysterious snow-capped peaks shrouded in an impenetrable cloud. These may sound like the stuff of myths – but in this case these descriptions aptly depict Uganda’s Rwenzori Mountains, known for more than 2,000 years as the Mountains of the Moon. Located at Uganda’s western border with the Democratic Republic of Congo, the Rwenzori Mountains rise as much as 5,109 m (16,763 ft) above gorges at equatorial sea-level to create an amazingly diverse environment that includes tropical rain forests, marshes and lakes, grasslands, glaciers and snowfields. The flora and fauna that flourish there are as unique as the region itself. On gentler slopes, rare mountain gorillas may inhabit bamboo forests, while giant tree heathers up to 10 m (33 ft) tall sway on open ridge tops. It’s no wonder much of the region is now designated World Heritage Site – yet only the lucky visitors will actually see the 100 km (62 mi) of mountain peaks, as a cloak of thick fog envelopes the Rwenzori year-round. It was this fog cloud that kept the legendary peaks from being documented until the late 1800s by non-African explorers – and the summit wasn’t reached until year later. 
About the Rwenzori Mountains, it is correct to say that ...
Alternativas
Q677513 Inglês
Glaciers at the equator. The legendary source of the River Nile. Mysterious snow-capped peaks shrouded in an impenetrable cloud. These may sound like the stuff of myths – but in this case these descriptions aptly depict Uganda’s Rwenzori Mountains, known for more than 2,000 years as the Mountains of the Moon. Located at Uganda’s western border with the Democratic Republic of Congo, the Rwenzori Mountains rise as much as 5,109 m (16,763 ft) above gorges at equatorial sea-level to create an amazingly diverse environment that includes tropical rain forests, marshes and lakes, grasslands, glaciers and snowfields. The flora and fauna that flourish there are as unique as the region itself. On gentler slopes, rare mountain gorillas may inhabit bamboo forests, while giant tree heathers up to 10 m (33 ft) tall sway on open ridge tops. It’s no wonder much of the region is now designated World Heritage Site – yet only the lucky visitors will actually see the 100 km (62 mi) of mountain peaks, as a cloak of thick fog envelopes the Rwenzori year-round. It was this fog cloud that kept the legendary peaks from being documented until the late 1800s by non-African explorers – and the summit wasn’t reached until year later. 
According to the passage, Rwenzori’s summits…
Alternativas
Q677512 Inglês
Glaciers at the equator. The legendary source of the River Nile. Mysterious snow-capped peaks shrouded in an impenetrable cloud. These may sound like the stuff of myths – but in this case these descriptions aptly depict Uganda’s Rwenzori Mountains, known for more than 2,000 years as the Mountains of the Moon. Located at Uganda’s western border with the Democratic Republic of Congo, the Rwenzori Mountains rise as much as 5,109 m (16,763 ft) above gorges at equatorial sea-level to create an amazingly diverse environment that includes tropical rain forests, marshes and lakes, grasslands, glaciers and snowfields. The flora and fauna that flourish there are as unique as the region itself. On gentler slopes, rare mountain gorillas may inhabit bamboo forests, while giant tree heathers up to 10 m (33 ft) tall sway on open ridge tops. It’s no wonder much of the region is now designated World Heritage Site – yet only the lucky visitors will actually see the 100 km (62 mi) of mountain peaks, as a cloak of thick fog envelopes the Rwenzori year-round. It was this fog cloud that kept the legendary peaks from being documented until the late 1800s by non-African explorers – and the summit wasn’t reached until year later. 

The region described in the passage…

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Respostas
141: A
142: C
143: D
144: C
145: D
146: C
147: D
148: D
149: E
150: C
151: D
152: E
153: C
154: A
155: C
156: D
157: B
158: D
159: E
160: C