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What does it mean to adapt to a new climate? A. to leave one climate and travel to another B. to change behaviors in order to meet a climate’s challenges C. to change from one species to another because of the climate D. to go a long period of time without rain in a climate

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What does it mean to adapt to a new climate? A. to leave one climate and travel to another B. to change behaviors in order to meet a climate’s challenges C. to change from one species to another because of the climate D. to go a long period of time without rain in a climate

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snail travels at a rate of 2.37 feet per minute. write a route to describe the function how far will the snail travel in six minutes

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snail travels at a rate of 2.37 feet per minute. write a route to describe the function how far will the snail travel in six minutes

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Hernán Cortés arrived in Mexico in 1519, resulting in the conquest of the Aztecs and Incas. Which country did Cortés travel to the Americas for? Portugal , Spain, England, France

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Answer:

Spain is the correct answer.

Explanation:

Hernan Cortes was Spanish conquistador, he conquered the Aztec empire in central America. He first sailed for Saint Domingo in 1504, then to Cuba in 1511. He was assisted by Diego Velazquez in the conquest of the island. Later he led to an expedition that caused the fall of the Aztec empire and brought large parts of mainland Mexico under its control. He belonged to the first generation of Spanish colonizers who began the colonization of the Americas.

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In the story “To Build a Fire,” what information did the man ignore? Even though the creeks freeze solid, liquid water exists near springs. Always make camp and build a fire while there is still daylight. Always take along survival gear and wear protective clothing. No one must travel alone in the Klondike after fifty degrees below zero.

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Answered by answersmine AT 22/10/2019 – 03:28 AM

No one must travel alone in the Klondike after fifty degrees below zero. I would say this is the main lesson to learn about this Jack London story which shows that nature can be cruel and unforgiving and at 50 degrees below zero it is nothing to fool with. If there are two people, one can help the other and warn say of snow which may fall down and douse the fire and also both can have matches to start a fire and they can discuss the best course of action in any situation which presents itself such as trusting the ice not to break over a creek for example.

Post your answer

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In Fisher’s article, the three pieces of evidence that he used to support his viewpoint on space travel to Mars were (fill this in): 1. 2. 3. Spring chose to use these three pieces of evidence in her article to support her view on space travel to Mars (fill this in): 1. 2. 3. PART 2. Answer the questions listed below in complete sentences: 1. Did the authors have similar or opposing views? 2. Did the authors use the same points of comparison? Explain with examples. 3. Did the authors support their views in the same or different ways? Did both focus most on appeals to logic or to emotion?

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1. Did the authors have similar or opposing views?

The author had opposing views, because one author said that traveling and studying Mars is important and beneficial to us humans. The other author though, says that Mars investigations are a waste of money and too dangerous.

2. Did the authors use the same points of comparison? Explain with examples.

Yes, the authors did use the same point of comparison. One would be about the radiation being either too dangerous or harmless to us humans. Another would be building architecture on mars such as domes and houses, being either too expensive or useful to study.

3. Did the authors support their views in the same or different ways?

It was different in all areas. One author used facts and studies to prove his point, while the other author used mostly onions and not much resilient on facts to prove a true point.

4. Did both focus most on appeals to logic or to emotion?

One author focused on logic, with explanations and studies on why colonizing Mars would be a good thing. The other author used more emotion and was less focused on logic, with strong, opinionative claims using fear and excitement in his statements.

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Describe two ways in which we explore space AND describe two situations that prevent humans from long distance space travel. plz help

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Answered by answersmine AT 22/10/2019 – 03:48 AM

1. for new forms of life
2. to find new inhabitable planets.
1.humans lack the technology to travel. by the time they get to the nearest inhabitable planet it would have been centuries.
2.ships we currently have are not made for far distance travel

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2. Why is Marilyn not allowed on the EDS? A.) The pilot does not want anyone there. B.) It is illegal for girls to travel in space. C.) There is not enough fuel for two people. D.) She is a convict on the run from the law.

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2. Why is Marilyn not allowed on the EDS? A.) The pilot does not want anyone there. B.) It is illegal for girls to travel in space. C.) There is not enough fuel for two people. D.) She is a convict on the run from the law.

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About how many revolutions must a 20-inch diameter wheel make in order to travel a distance of 100 feet? A.1 1/2 B. 5 C. 9 1/2 D. 19

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About how many revolutions must a 20-inch diameter wheel make in order to travel a distance of 100 feet? A.1 1/2 B. 5 C. 9 1/2 D. 19

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A loaded moving truck is traveling 30 mph faster than a freight train. in the time it takes the train to travel 135 miles, the truck travels 225 miles. find the speed of the truck

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Speed of truck= x
speed of train=x-30
A loaded moving truck is traveling 30 mph faster than a freight train. in the time it takes the train to travel 135 miles, the truck travels 225 miles. find the speed of the truck.

A loaded moving truck is traveling 30 mph faster than a freight train…
(x-30)=speed of train
the time it takes the train to travel 135 miles, the truck travels 225 miles…
135/(x-30)=225/x
the you multiply on both sides the x values and get…
 135x=225x-6750
then you subtract 225x on both sides…
-90x=-6750
then you divide -90 on both sides…
x=75
the speed of the truck is 75mph
i hope this helped give me a thanks and a 5 star rating if it helped! c:

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If you travel 40 miles east and then turn around and drive 12 miles west, the displacement is?

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Answer:

a) The time the police officer required to reach the motorist was 15 s.

b) The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) The total distance traveled by the officer was 225 m.

Explanation:

The equations for the position and velocity of an object moving in a straight line are as follows:

x = x0 + v0 · t + 1/2 · a · t²

v = v0 + a · t

Where:

x = position at time t

x0 = initial position

v0 = initial velocity

t = time

a = acceleration

v = velocity at time t

a)When the officer reaches the motorist, the position of the motorist is the same as the position of the officer:

x motorist = x officer

Using the equation for the position:

x motirist = x0 + v · t (since a = 0).

x officer = x0 + v0 · t + 1/2 · a · t²

Let´s place our frame of reference at the point where the officer starts following the motorist so that x0 = 0 for both:

x motorist = x officer

x0 + v · t = x0 + v0 · t + 1/2 · a · t²      (the officer starts form rest, then, v0 = 0)

v · t = 1/2 · a · t²    

Solving for t:

2 v/a = t

t = 2 · 15.0 m/s/ 2.00 m/s² = 15 s

The time the police officer required to reach the motorist was 15 s.

b) Now, we can calculate the speed of the officer using the time calculated in a) and the  equation for velocity:

v = v0 + a · t

v = 0 m/s + 2.00 m/s² · 15 s

v = 30 m/s

The speed of the officer at the moment she overtakes the motorist is 30 m/s

c) Using the equation for the position, we can find the traveled distance in 15 s:

x = x0 + v0 · t + 1/2 · a · t²

x = 1/2 · 2.00 m/s² · (15s)² = 225 m

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Studies continue to prove that if a girl stays in school she will strengthen her family, community, and nation. A long list of benefits of educating a girl in a developing country compiled by the World Health Organization includes later marriages, smaller families, better hygiene, greatly increased likelihood that further children will receive education, and my favorite – greater confidence. A bicycle is a simple, sustainable tool that eases long travel distances and encourages girls to stay in school. —Foreword to Wheels of Change, Leah Missbach Day What is the central idea of this passage from the foreword?

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Here are a few pointers; hope this is useful)

Ovation-by definition- is show of appreciation from an audience, for a person’s accomplishments or flaw.

“Everyone deserves a standing ovation because we all overcometh the world.”

A person’s accomplishment could be how they made a positive change in this world, strong leadership- that makes them a effective leader or simply helping others. A person’s flaw- mistakes in life, sin or even guilt should also be considered an appreciation- an ovation for representing mankind’s flaw and that humanity makes mistakes, fulfilling at least one deadly sin such as greed, lust, selfishness etc.

Thus, regardless of a person’s achievement or flaw- a person deserves an applause for, not the least, living in this society and this world that we are all living together and dying together.

That was just the introduction.. the best part is yet to come.. now it’s your turn!!

Here are other pointers to talk about in your essay:

Shakespeare’s famous line “All the World’s a stage. That agrees with your line: “Everybody deserves a standing ovation…”

Shakespeare explains that men and women are like players: they live, and die, some being celebrated and some forever living in solitude till their death. Shakespeare states the world is a “stage” which symbolizes that mankind is in its peak. The world is changing everyday: little by little and humanity is falling behind.
Due to our world turning into machinery: factories, an automotive future: where humans only job to live (entrance) and to die (exit) the famous humans remembered and the flawed not recalled.

This is according to Shakespeare’s imagery.

I don’t know what grade your in, but I think simplifying Shakespeare’s word of mouth in your essay would be handy and useful as it has strong references of your quote, and agrees strongly in your essay.

Hope this helps 🙂

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Light and sound waves are A.both particles and wave, but sound waves are longitudinal waves that can travel through a vacuum B.both longitudinal waves, but one is electromagnetic (light), while the other is not C.both able to travel through a vacuum, but sound waves aren’t able to be reflected D.both waves, but light is a transverse wave that can travel through a vacuum

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The right answer is Transgenic organisms can produce a desired product that may benefit other organisms.

A transgenic organism contains DNA combining  stably integrated in all its cells. In other words, the organism, be it a plant, an animal or a microorganism, has a new piece of DNA embedded in it. a chromosome in each of its cells. This “new piece” of DNA usually contains a gene from another organism (plant, animal or other) that has been modified to be expressed in the new  organization. A transgenic organism may even possess the DNA of another organism of the same species. The inserted gene can be called the transgene.

Currently, diabetics are treated by injecting insulin from either a healthy human donor or cultures of genetically modified (transgenic) bacteria that secrete the protein.

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A compass rose _____. A. helps you determine your heading B. helps sight landmarks when traveling C. shows the compass points on a map D. indicates your direction of travel

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Here are a few pointers; hope this is useful)

Ovation-by definition- is show of appreciation from an audience, for a person’s accomplishments or flaw.

“Everyone deserves a standing ovation because we all overcometh the world.”

A person’s accomplishment could be how they made a positive change in this world, strong leadership- that makes them a effective leader or simply helping others. A person’s flaw- mistakes in life, sin or even guilt should also be considered an appreciation- an ovation for representing mankind’s flaw and that humanity makes mistakes, fulfilling at least one deadly sin such as greed, lust, selfishness etc.

Thus, regardless of a person’s achievement or flaw- a person deserves an applause for, not the least, living in this society and this world that we are all living together and dying together.

That was just the introduction.. the best part is yet to come.. now it’s your turn!!

Here are other pointers to talk about in your essay:

Shakespeare’s famous line “All the World’s a stage. That agrees with your line: “Everybody deserves a standing ovation…”

Shakespeare explains that men and women are like players: they live, and die, some being celebrated and some forever living in solitude till their death. Shakespeare states the world is a “stage” which symbolizes that mankind is in its peak. The world is changing everyday: little by little and humanity is falling behind.
Due to our world turning into machinery: factories, an automotive future: where humans only job to live (entrance) and to die (exit) the famous humans remembered and the flawed not recalled.

This is according to Shakespeare’s imagery.

I don’t know what grade your in, but I think simplifying Shakespeare’s word of mouth in your essay would be handy and useful as it has strong references of your quote, and agrees strongly in your essay.

Hope this helps 🙂

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Mike and adam left a bus terminal at the same time and traveled in opposite directions. mike’s bus was in heavy traffic and had to travel 20 mi/h slower than adam’s bus. after 3 hours, their buses were 270 miles apart. how fast was each bus going?

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The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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Civics Assume the European Euro is increasing in exchange value compared to the U.S. dollar. Who will benefit most in this situation? A U.S. family traveling throughout Europe A European company that imports electronics from the U.S. A European company that imports Asian foods An international travel agency based in Florida

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The Reformation actually started after Columbus’s landing in North America. 

Treaty of Tordesillas in 1494 was forced on Spain and Portugal by the Pope. The Pope basically said that all lands in the New World belonged to Spain and all new non-Christian lands in the Eastern Hemisphere belong to Portugal. No other Catholic countries can do anything in those areas without the approval of the owner. 

The pope basically drew two lines on the globe setting the border. The western line started at the north pole cut half way through Greenland and ended at the south pole. The new world was everything to the west. Problem is that it ran through a chunk of Brazil which is why Brazil is an ex-Portuguese colony. 

The Eastern line starts at the North Pole runs through siberia, through the pacific just west of Japan, and cuts Australia in half. Of course, Australia hadn’t been discovered yet. Everything to the the east of this line is the new world. 

Obviously, this treaty didn’t hold up well, but the reformation gave the protestant countries an excuse to explore the new world since they didn’t have to take orders from the Pope. Even so, France, a catholic country, ignored it too. 

Really, the only country that was effected by the reformation in the exploration of the Americas was England. All the other countries, changed their religion once and then went to war with the nearest catholic country. Sweden became Lutheran and stayed that way. The Dutch Republic became Calvinists and stayed that way. 

England kept switching. First it was Catholic. Then, Henry VIII made it protestant. Then, Henry’s daughter Mary I made it catholic again. Henry’s other daughter Elizabeth I (with the two hit movies) made it Protestant again. 

Years latter, Oliver Cromwell over through the monarchy, executed the King Charles I, and established a Protestant fundamentalist religious military dictatorship. He outlawed drinking,smoking, gambling, theater, dirty books, sports, prostitution, and anything generally fun. He would have made Saudi Arabia proud. Basically, all you could do is work, pray, and die. Sex was allowed for creating children, but you couldn’t enjoy it. 

When Cromwell died, the people of England said enough was enough and brought back the King. Charles II kicked out the fundamentalists and brought back drinking, smoking, gambling, dirty books, sports, prostitution, and having fun during sex. Incidentally, those were also all his hobbies. 

This brings us to the famous Pilgrims. They were part of Cromwell’s crowd. They kept agitating a return to the no-fun policy. They annoyed everybody. They weren’t persecuted for practicing their religion, they were persecuted because they kept trying to force their religion on everyone else. Sort of like Southern Baptists. 

Charles II was the most easy going monarch in British history. Do realize how annoying you have to be to get him to throw you out. 

Charles’s brother James II was obsessed with turning Great Britain catholic again. After four years of trying, they kicked him and his followers out. 

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A jet flies at a rate of 1.3 x 10^ 6 feet per hour. Written in scientific notation, which is the best estimate of how many feet the jet will travel in 2.8 x 10^ 3 hours?

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A jet flies at a rate of 1.3 x 10^ 6 feet per hour. Written in scientific notation, which is the best estimate of how many feet the jet will travel in 2.8 x 10^ 3 hours?

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Did bartolommeu dias travel around cape bojador

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Did bartolommeu dias travel around cape bojador

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Two trains leave stations 252 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels at 100 miles per hour. How long will it take for the two trains to meet?

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Answer:

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

So, AD=AB=44.8 cm

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=  x+y=84.8 …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

H^2=P^2+B^2

(44.8)^2=x^2+z^2  ………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

H^2=P^2+B^2

(72)^2=y^2+z^2 …………[3]

Subtract [2] and [3]

(72)^2-(44.8)^2=y^2+z^2-x^2-z^2

5184-2007.04=(x+y)(x-y)

3176.96=(84.8)(x-y)

37.464=x-y ……….[4]

Add equation [1] and [4], to get values of x and y

x+y+x-y=84.8+37.464

2x=122.264

x=61.132

Substitute x in [1]

x+y=84.8

61.132+y=84.8

y=23.668

Substitute value of x in equation [2], to get z

(44.8)^2=x^2+z^2

(44.8)^2=(23.668)^2+z^2

2007.04-560.174224=z^2

z=sqrt{1446.865776}

z=38.06

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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____________ is a synonym for matriculate. a. Use c. Enroll b. Travel

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____________ is a synonym for matriculate. a. Use c. Enroll b. Travel

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The distance you travel from seeing the danger to putting your foot one the brake pedal is known as

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The distance you travel from seeing the danger to putting your foot one the brake pedal is known as

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How long (in ns) does it take light to travel 1.30 m in vacuum?

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How long (in ns) does it take light to travel 1.30 m in vacuum?

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P and s waves from an earthquake travel at different speeds, and this difference helps in locating the earthquake âepicenterâ (where the disturbance took place). (a) if an earthquake occurs and these two waves arrive at a particular seismic station with the p wave 2.0 min ahead of the s wave, then how far away was the earthquake? assume typical speeds of 8.5 km/s and 5.5 km/s for p and s waves, respectively.

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The gravitational force Fg between two objects is given by the equation:

Fg=(G*m₁*m₂)/r₂, where G=6.67*10^-11 m³ kg⁻¹ s⁻² is the gravitational constant, m₁ and m₂ are the masses of the two bodies and r is the distance between those bodies. 

Due to the gravitational attraction the pencil and the eraser will attract if we there is no friction on the surface. 

m₁=10 g=0.01 kg is the mass of the pencil
m₂=20 g=0.02 kg is the mass of the eraser
r=2.5 cm = 0.025 m

First we calculate the Fg:

Fg={(6.67*10^-11)*0.01*0.02}/(0.025²)=2.1344*10^-11 N

To get the velocity v of the pencil:

v²=2as, where a is the acceleration of the pencil and s is the path. In our case s=r so we can write:

v²=2ar

a=Fg/m₁= 2.133*10^-9 m/s²

v²=2*(2.133*10^-9)*0.025=1.0665*10^-10

v=√(1.0665*10^-10)=1.0327*10^-5 m/s

We have the velocity and the acceleration, so we can calculate the time t with the equation:

t=v/a=(1.0327*10^-5)/(2.133*10^-9)=4841.6 s

1 hour has 3600 s so when we divide time t in seconds by 3600 we get time T in hours:

T=t/3600=4841.6/3600=1.3449 h. 

So the time for the pencil and eraser to touch is T=1.3449 hours. 

Also time T can be expressed like T= 1h and 20 mins and 41.64 s

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A bowling ball weighs 7.26 kg and takes 3.64 seconds to travel the 19.2 m length of the bowling alley. assuming the velocity is constant, what is the kinetic energy of the bowling ball?

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The gravitational force Fg between two objects is given by the equation:

Fg=(G*m₁*m₂)/r₂, where G=6.67*10^-11 m³ kg⁻¹ s⁻² is the gravitational constant, m₁ and m₂ are the masses of the two bodies and r is the distance between those bodies. 

Due to the gravitational attraction the pencil and the eraser will attract if we there is no friction on the surface. 

m₁=10 g=0.01 kg is the mass of the pencil
m₂=20 g=0.02 kg is the mass of the eraser
r=2.5 cm = 0.025 m

First we calculate the Fg:

Fg={(6.67*10^-11)*0.01*0.02}/(0.025²)=2.1344*10^-11 N

To get the velocity v of the pencil:

v²=2as, where a is the acceleration of the pencil and s is the path. In our case s=r so we can write:

v²=2ar

a=Fg/m₁= 2.133*10^-9 m/s²

v²=2*(2.133*10^-9)*0.025=1.0665*10^-10

v=√(1.0665*10^-10)=1.0327*10^-5 m/s

We have the velocity and the acceleration, so we can calculate the time t with the equation:

t=v/a=(1.0327*10^-5)/(2.133*10^-9)=4841.6 s

1 hour has 3600 s so when we divide time t in seconds by 3600 we get time T in hours:

T=t/3600=4841.6/3600=1.3449 h. 

So the time for the pencil and eraser to touch is T=1.3449 hours. 

Also time T can be expressed like T= 1h and 20 mins and 41.64 s

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Why did americans first travel across the great planes?

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1- The correct answer is B, as one result of the Great Society was that the lives of many underprivileged Americans improved.

The Great Society was a set of US national reform programs announced by President Lyndon B. Johnson for the first time in a speech at Ohio University on May 7, 1964 and more fully illustrated on May 22, 1964 at the University of Michigan. These reform programs were subsequently presented to the Congress of the United States and largely approved during the 1960s, thanks to the consent of its supporters of the Democratic Party.

Two main goals of social reforms were the elimination of poverty and racial injustice. During this period new large spending programs were launched in the fields of education, medical care, urban problems and transport. Johnson’s “Great Society” was linked, in its objectives and policies, to President Franklin Delano Roosevelt’s New Deal program.

Some proposals of the Great Society resumed initiatives contained in the New Frontier program, interrupted by the tragic death of President John F. Kennedy. Johnson’s success in promoting and endorsing his reforms depended on his considerable congressional political influence, his persuasion, and the favorable historical circumstances resulting from the 1964 presidential elections, which allowed the Democratic Party to dominate Congress and to elect the House of Representatives with the largest number of exponents of the liberal current since 1938.

The evolution of the Vietnam war and the massive involvement of the American military machine in the conflict, however, partly undermined the success of the “Great Society” program. Growing, huge expenditures for the continuation of the war made more difficult to finance the reform programs. Representatives of the Democratic Party against the war in Vietnam complained that military spending decisively stifled the Great Society program. On the whole, however, despite growing political and economic difficulties, which forced the administration to eliminate or reduce the financing of some projects, President Johnson managed to activate a series of programs of great importance, including Medicare, Medicaid, the Older Americans Act and the federal education funding, which are still active.

2- The correct answer is C, as the Immigration and Nationality Act of 1965 was necessary because the previous existing American immigration policies were discriminatory.

On October 3, 1965, President Lyndon B. Johnson signed the law into effect, saying: “The [old] system violates the basic principle of American democracy, the principle according to which the valuation and reward of each man should be established on the basis of his merits as a man. It has been anti-American in the highest sense, because it has been unfaithful to the faith that led thousands to these shores, even before we were a country. ”

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Randy made a business trip of 204 miles. he averaged 52 mph for the first part of the trip and 50 mph for the second part. if the trip took 4 hours, how long did he travel at each rate?

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Answer:

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

So, AD=AB=44.8 cm

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=  x+y=84.8 …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

H^2=P^2+B^2

(44.8)^2=x^2+z^2  ………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

H^2=P^2+B^2

(72)^2=y^2+z^2 …………[3]

Subtract [2] and [3]

(72)^2-(44.8)^2=y^2+z^2-x^2-z^2

5184-2007.04=(x+y)(x-y)

3176.96=(84.8)(x-y)

37.464=x-y ……….[4]

Add equation [1] and [4], to get values of x and y

x+y+x-y=84.8+37.464

2x=122.264

x=61.132

Substitute x in [1]

x+y=84.8

61.132+y=84.8

y=23.668

Substitute value of x in equation [2], to get z

(44.8)^2=x^2+z^2

(44.8)^2=(23.668)^2+z^2

2007.04-560.174224=z^2

z=sqrt{1446.865776}

z=38.06

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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