a satellite is orbiting Earth at a distance of 35 kilometers. The satellite has a mass of 500 kilograms. what is the force between the planet and the satellite

Answers

Answer 1

Answer:

The force between the planet and the satellite is 4.76 * 10³ Newtons

Explanation:

Given:

Mass of satellite = m = 500 kg

Distance of the satellite from Earth's surface = h = 35000 m

We know that:

Mass of Earth = M = 5.9 * 10²⁴ kg

Radius of Earth = R = 6.4 * 10⁶ m

Gravitational Constant = G = 6.673 x 10⁻¹¹ N m²/kg²

Force between Earth and an object is given as:

F = GmM/(R+h)²

= (6.673 x 10⁻¹¹ x 500 x 5.9 x 10²⁴)/((6.4 * 10⁶)+(3.5*10⁴))²

= (1.97*10¹⁷)/(6.435*10⁶)²

= (1.97*10¹⁷)/(4.14*10¹³)

= 4.76 * 10³ N

Answer 2

Answer: F = 4.76 * 10³ N

Explanation:

We know that the force of gravity between two objects is:

F = G*m*M/r²

Where M is the mass of earth, m is the mass of the satelite, r is the distance between the radius of the earth and the satelite and G is the gravitational constant, and the data that we have is:

Mass of satellite: m = 500 kg

Distance of the satellite from Earth's surface: H = 0.035x10^6 m

Radius of Earth: R = 6.4 x 10⁶ m

So we have that r = R + H = 6.435x10^6

Mass of Earth: M = 5.9 * 10²⁴ kg

Gravitational Constant: G = 6.673 x 10⁻¹¹ N m²/kg²

Then the force that the Earth does in the satellite is:

F = (1.97*10¹⁷)/(6.435*10⁶)²

F = (1.97*10¹⁷)/(4.14*10¹³)

F = 4.76 * 10³ N


Related Questions

Position vs Time
Calculate the slope of the line on the graph using the
formula
The slope of the line is____m/s

Answers

That was pretty clever, how you neatly and cleanly cut off the part of the photo that shows the formula we're supposed to use.

At time=0, the position is zero, and at time=5 sec, the position is 20 m.

Slope = (change in position)/(change in time)

Slope = (20m - 0m) / (5s - 0s)

Slope = (20m) / (5s)

Slope = 4 m/s

Answer:

4

Explanation:

Which statement is true ?

Answers

Answer:

it depends only on the forces acting along the y axis I think

Answer:

option B

Explanation:

The correct answer is option B.                                                  

Assuming the motion of the object will be in the x-direction.                        

To move the object we need to apply the force on the body.                      

the line of action of the force should be in the x-direction to overcome the resistance to move the object.                                      

                                               

which of the following objects is in equilibrium?

a- a car moving at a constant velocity
b- a bicicle sitting on the ground
c- an apple falling form a tree
d- a motorcycle speeding up

Answers

b- a bicycle sitting on the ground

a- a car moving at a constant velocity  

An object is in equilibrium when the forces acting on the object are opposite of one another and equal. In this case, the force of the ground and the force of gravity are both acting on the object, but since the object either isn't moving or has constant velocity, the forces are therefore equal and in opposite directions.

A bicycle sitting on the ground is the statement that suits best to describe the objects in the equilibrium.

Answer: Option B

Explanation:

Equilibrium refers to the static state when there is no movement or displacement. In other words it also means that the forces acting on the object are equal and opposite in direction and the net force will be zero as they are in opposite direction and hence the object doesn't move and remains in the static position. The options A,C,D are related to movement of the object.

Who is considered the father of atomic theory?
Rutherford
Thomson
Dalton
Democritus

Answers

John Dalton is considered to be the father of the atomic theory

Answer:

The answer is: John Dalton

John Dalton considered the father of atomic theory

Hope this helped :) <3

Explanation:

Why is no work done when you hold a book in place over your head?

A A force is applied to the book, but there is no movement.

B The book has motion, but no force is applied to it.

C A force is applied to the book, causing it to move.

Answers

The answer would be A). The reason for this is that one of the formula for work is W = F x d. Since there is no movement in terms of distance (d). Then the total work done would also be zero. Anything times zero would be zero (generally, there are some wierd math exceptions).

If you want to analyze this further, there is an upward normal force that is pushing the book up and there is also an equal but opposite gravitational force pushing it down since there is no movement. Since both these forces (no other external forces) hold the book stationary in its place (no movement while these forces are being applied) then the work done for the book as a whole is zero.
It will be A since a force is being applied but it won’t move

A ball is thrown horizontally from a cliff at 8m/s .In what direction is the ball moving 2s later?​

Answers

Answer:

67.8 degrees below horizontal

Explanation:

In order to understand the direction of the ball after a certain time t, we need to find its horizontal and vertical components of the velocity.

- Horizontal component: the horizontal component of the velocity of the ball is constant, since there are no forces acting along this direction. Therefore, its horizontal velocity after t = 2 s is

vx = 8 m/s

- Vertical component: the vertical component of the velocity of the ball is given by

vy = u + at

where

u = 0 is the initial vertical velocity

a = g = -9.8 m/s^2 is the acceleration of gravity

Substituting t = 2s,

vy = 0 + (-9.8 m/s^2)(2s )=-19.6 m/s

where the negative sign indicates it points downward.

So, the direction of the ball (given as angle below the horizontal) is:

[tex]\theta = tan^{-1} (\frac{|v_y|}{v_x})=tan^{-1} (\frac{19.6 m/s}{8 m/s})=67.8^{\circ}[/tex]

Final answer:

The ball is moving in a downward arc but still maintains its original horizontal speed of 8m/s. Two forces are acting on the ball: the initial horizontal velocity and the force of gravity pulling it downwards. These two forces act independently of each other in an ideal scenario with no air resistance.

Explanation:

The ball, thrown horizontally from a cliff at 8m/s, will still be moving in a horizontal direction 2 seconds later. There are two forces acting on the ball once it's thrown: the initial horizontal velocity given to it (in this instance, 8m/s), and the force of gravity pulling it downwards. In an ideal scenario with no air resistance, these two forces act independently of each other.

Therefore, the horizontal component of the velocity remains constant, while the vertical component increases over time due to the Earth's gravity. It's important to note that while the direction of the ball's velocity is changing (since it's arcing downwards), the horizontal component of that velocity remains constant at 8m/s. The ball is moving in a downward arc but still maintains that original horizontal speed.

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What is the apparent change in frequency of waves due to the motion of a source? Photoelectric effect Prismatic change Doppler effect Wavelength variability

Answers

Answer: Doppler effect

Explanation:

The Doppler effect refers to the change in a wave perceived frequency when the emitter of the waves, and the receiver (or observer in the case of light) move relative to each other.  

In other words, it is the variation of the frequency of a wave due to the relative movement of the source of the wave with respect to its receiver.  

Another important aspect is that the effect occurs in all waves (including light and sound). However, it is more noticeable to humans with sound waves.

The Doppler effect is the apparent change in frequency of waves due to the motion of a source.

Which of the following describe an electrical motor? Check all that apply

() Changes electrical energy to mechanical energy.

() Can be powered by a hand crank.

() Uses the interaction between a spinning coil of wire and magnet.

() Is found in many appliances with moving parts like, a vacuum cleaner or a blender.
Don't answer unless you know the answer, please.

Answers

An electric motor converts electrical energy into mechanical energy using magnetic fields and current-carrying conductors, is used in appliances with moving parts, and is not powered by a hand crank.

An electric motor is a device that is designed to convert electrical energy into mechanical energy option A. This transformation occurs through the interaction of magnetic fields and current-carrying conductors. The basic operation of an electric motor involves loops of wire within a magnetic field. When an electric current passes through these loops, a torque is exerted on them, which in turn rotates a shaft connected to the motor. Through this process, the electrical energy used to create the current is converted into the mechanical work needed to turn the shaft.

Electric motors are widely used in various applications such as industrial machinery, household appliances like vacuum cleaners or blenders, and many other devices that require moving parts. These motors are based on the principles of magnetic force exerted on the wire loops. However, they are not powered by a hand crank; that is a feature associated with generators, which convert mechanical energy into electrical energy.

Scientific models are based on current knowledge, which can limit their effectiveness when new discoveries are made.

Answers

Answer:

The answer is true.

Answer:

Explanation:

It is true that discoveries we always make is based on current knowledge and technology.

These scientific model comes out on the basis of what technology we have in present but it true that their effectiveness gets limited with new discoveries.

For example, the raisin pudding model of atom was a discovery new to that time but with the discovery of new technology that model was not feasible.

The bohr model sets new parameter and adds new information in field of atomic structure.

A beam of electrons moves at right angles to a magnetic field of 4.5 × 10-2 tesla. If the electrons have a velocity of 6.5 × 106 meters/second, what is the force acting on the electrons? The value of q = -1.6 × 10-19 coulombs.

Answers

Final answer:

To calculate the force acting on electrons moving at right angles to a magnetic field, we use the formula F = qvB, considering the given values for the charge of the electron, velocity, and magnetic field strength. The calculated force is -4.68 × 10^-15 Newtons.

Explanation:

The question asks for the force acting on electrons moving at right angles to a magnetic field. To find the force, we use the formula F = qvBsin(θ), where F is the force on the charge, q is the charge of the electron (-1.6 × 10-19 coulombs), v is the velocity of the electron (6.5 × 106 meters/second), B is the magnetic field strength (4.5 × 10-2 tesla), and θ is the angle between the velocity and the magnetic field (90 degrees since they are at right angles). Since sin(90°) = 1, the equation simplifies to F = qvB. Plugging in the values, we get F = -1.6 × 10-19 × 6.5 × 106 × 4.5 × 10-2, which calculates to -4.68 × 10-15 Newtons.

The pressure is....... proportional to the area

A- inversely b- directly c- increase D-decrease

Answers

We know that pressure is equal to the relation between force applied perpendicular to a certain area.

[tex]p=\dfrac{F}{A}[/tex]

If we express area we get:

[tex]A=\dfrac{F}{p}[/tex]

The pressure is decrease proportional to the area.

Hope this helps.

r3t40

A motor with an operating resistance of 2.21 ohms is connected to a voltage source. The current in the circuit is 3.8 A and the power of the system is 32 watts. What is the voltage of the source?

Answers

Hello!

The answer is:

The voltage of the source is 8.40 Volts.

Why?

To solve the problem, we need to use the Ohm's Law equation base formula.

We have that we can calculate the voltage using the following equation:

[tex]Voltage(Volts)=Current(Amps)*Resistance(Ohm)[/tex]

So, from the statement we know that:

[tex]Resistance=2.21\Omega\\Power=32W\\Current=3.8A[/tex]

Now, substituting and calculating we have:

[tex]Voltage(Volts)=Current(Amps)*Resistance(Ohm)[/tex]

[tex]Voltage(Volts)=3.8A*2.21\Omega=8.40V[/tex]

Hence, we have that the voltage of the source is 8.40 Volts.

Have a nice day!

Does the theory of relativity show that Newtonian mechanics is wrong?

Answers

Answer:

Einstein extended the rules of Newton for high speeds. For applications of mechanics at low speeds, Newtonian ideas are almost equal to reality. That is the reason we use Newtonian mechanics in practice at low speeds.

Explanation:

But on a conceptual level, Einstein did prove Newtonian ideas quite wrong in some cases, e.g. the relativity of simultaneity. But again, in calculations, Newtonian ideas give pretty close to correct answer in low-speed regimes. So, the numerical validity of Newtonian laws in those regimes is something that no one can ever prove completely wrong - because they have been proven correct experimentally to a good approximation.

General Relativity can explain how objects curve space-time.

Newton Mechanics is a particular case of relativity.

The theory of general relativity of Einstein basically related the space-time and the mass of an object. This equivalence is represented in the field equation.

So we can say now that the mass of an object, our sun, for example, can curve the space-time around it. Newton talks about a gravity force but gravity is just the deformation of space-time.

Now, the newton mechanics work perfectly in the system when the speed is less than the speed of light and when masses are apreciables, but general relativity is a general theory that explains how massive objects interact with each other.

 

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1. How much heat is needed to melt 10.0 kg of lead at its melting point?

Answers

Answer:

230 kJ

Explanation:

The amount of heat needed to melt a substance at its melting point is:

[tex]Q=m\lambda_f[/tex]

where

m is the mass of the substance

[tex]\lambda_f[/tex] is the latent heat of fusion of the substance

In this problem,

m = 10.0 kg is the mass of the lead sample

[tex]\lambda_f = 23 kJ/kg[/tex] is the latent heat of fusion of lead

Substituting,

[tex]Q=(10.0 kg)(23 kJ/kg)=230 kJ[/tex]

Answer:

Q = 230 kJ

Explanation:

Heat required to melt a given matter at its melting point is given by latent heat of fusion

It will remain constant for a given metal

for lead the latent heat of fusion is given as

[tex]L = 23 kJ/kg[/tex]

now we know that

[tex]Q = mL[/tex]

here m = 10 kg

so heat required to melt 10 kg of lead is given as

[tex]Q = 10 \times 23[/tex]

[tex]Q = 230 kJ[/tex]

1. A 70 kg skier moving at 5 m/sec down a slope. What is the skier's momentum?
A. 35 (kg m)/sec
B. 350 (kg m)/sec
C. 75 (kg m)/sec
D. 755 (kg m)/sec

Answers

B. 350 kg m/s. A skier of 70kg at 5m/s down a slope will have a momentum of 350kg m/s.

The linear momentum or momentum is represented by the letter p and is defined as the product of the mass of a body by its velocity, that is:

p = m · v

Therefore, when a body is in motion it has a non-zero moment. If it is at rest, its moment is zero. In the International System, it is measured in Kg · m / s.

A 70 kg skier moving at 5m/s down a slope will have a momentum:

p = (70kg)(5m/s) = 350kg m/s

A cold glass is left sitting outside on a hot day. Soon, water droplets form on the outside of the glass. Describe the events that must occur for the water droplets to form on the glass.

Answers

Condensation must occur. Water droplets collect on the cold surface when warm/humid air is in contact with it.

i just took this test and got it right.

Answer:

Water vapor from the air cools and condenses into water.

Explanation:

.

if a plane crash on border between mexico and america where do they bury the survivors?

Answers

Answer: it depends on there orgin and where there records say they shall be buried. For example, if your records say that you want to be buried in this specific location is requried by law to be buried there

Hope this helps :D

ANSWER FAST FOR BRAINLIEST!

What type of image is formed by a refracting telescope?


an enlarged, upside-down virtual image

a reduced-size, right-side-up virtual image

a reduced-size, right-side-up real image

an enlarged, upside-down real image

Answers

Answer:

the last one

Explanation:

The type of image which is formed by the refracting telescope are magnified inverted and non-real image.

Answer: Option A

Explanation:

The refractive lens uses it lens as the objective to form an image. This type of telescope are used as spy glasses and astronomical telescopes.

The refracting telescope makes the magnified image which can be also be termed as the enlarged image. Image formed by the refracting telescope is the inverted image which can also be written as the upside down image.

The nature of image formed is non-real that is virtual image. The purpose of telescope is to see far distant object and thus needs to produce enlarged image.

how much heat is needed to raise the temperature of 6g of water by 15°C​

Answers

Answer:

Explanation:

Firstly, we need the specific heat capacity of water which is typically around 4200J/kg (if the mass is in kg) or 4.2 J/g ( if mass is in g)

The formula for the heat energy needed is

E=mct

Where E is the heat energy, m is the mass of water, c is the specific heat capacity and t is the change in the temperature.

E= 6 x 4.2 x 15

= 378 J

Hope this helps!!!

Feel free to ask any follow up questions!

When work is done on an object, the object gains energy. Please select the best answer from the choices provided T F

Answers

Answer:

True

Explanation:

We are given the following statement which we are to determine if it is true or false:

'When work is done on an object, the object gains energy'.

The above given statement is true. The reason being that the object gains kinetic energy as a work is done on it or in other words, force is applied on it which moves it.

The work done on the object is equal to the kinetic energy gained by the object, given that there are no frictional forces.

When work is done on an object, the object gains energy.

In physics, when work is done on an object, the object gains energy. This is because work is defined as the transfer of energy. When a force is applied to an object and it moves in the direction of the force, work is being done on the object, and it gains energy as a result.

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A car travelled a distance of 348 km in 6.0 hours. What was it’s speed in (a) km/h and (b) m/sec?

Answers

Answer:

[(a=58)(b=16)] is the homogeneous mixture

The speed of a car is 58 km/h and 16.11 m/s.

What is speed?Speed is distance travelled by time.Speed = distance / time S = D/T

How to calculate car's speed in km/h?

                Speed S = D / T

                        ∴  S = 348/6

                        ∴  S = 58 km/h

How to calculate cars speed in m/s?To calculate car's speed in m/s we need to covert km/h in m/s.To covert it we have to multiply 348/6 with 5/18.

                       So , speed S =( 348 x 5 ) / ( 6 x 18 )

                                      ∴  S = 16.11 m/s.

Thus, The speed of a car is 58 km/h and 16.11 m/s.

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Earth’s orbital speed is approximately _____. 1600 kilometers per hour 110 kilometers per hour 43,000 kilometers per hour 107,000 kilometers per hour

Answers

Answer:

107,000 kilometers per hour.

Explanation:

Answer:107,000 kilometers per hourExplanation:There is no explanation why earth speed is 107,000 kilometers per hour.Only god knows.

Which of the following is a feature of the color of an object?

A.
It is a subjective experience, based on the frequencies of light waves the eye receives.

B.
It is a subjective experience, based on the amplitude of light waves the eye receives.

C.
It is a characteristic of the object, regardless of the light around it.

D.
It is the same as that of the light an object absorbs.

Answers

Answer:

It is a subjective experience, based on the amplitude of light waves the eye receives.

Explanation:

I would think so it might be this..

the motion of water in a dam serves human beings by generating electricity as it is a controlled motion. give one example for an uncontrolled motion. what effects could it cause​

Answers

Answer:

Heat

It can burn things

Answer:

When the water flows in the dam or reservoir is not restricted or is impossible to restrict due to flood, earth quake or some other natural calamity, life is endangered both to human beings and animals as the water may pass through the forests and may even enter the cities and residential area when the limit is reached and the dam overflows.

Dam plays an vital roles on drinking water supply, flood control, electricity generation, fishing, tourism, etc. The creation of storage and head allow dams to generate electricity. Another situation is when the construction of the dam collapses due to structural failure or leaks.

cold syrup flows sluggishly because of??​

Answers

Answer:

Water is very different from honey, syrup, glycerine, or oil. It pours easily and is not thick and sticky like the others. The property that determines how easily a liquid pours is called VISCOSITY. Water has a low viscosity; syrup has a high viscosity. Liquids with a high viscosity are said to be viscous.

The cold syrup flows sluggishly because syrup has a high viscosity.

Why cold syrup flows sluggishly?Viscosity is a scientific term that describes the resistance to the flow of a fluid. This is often described as the thickness of the fluid which in general is the case although this is not technically the correct term.Water is very different from honey, syrup,  glycerin, or oil. It pours easily and is not thick and sticky like the others. Water has a low viscosity, and syrup has a high viscosity.Liquids with high viscosity are said to be vicious.viscosity = shear stress / shear rate.

Hence, cold syrup flows sluggishly because of its high viscosity.

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An idea, event, or object can be represented by a ____ to help people better understand it.

Answers

this should be it hope it helps

The representative model can be used to demonstrate the object or event or an idea to the people making them understand better.

Explanation:

Model representation is the best way to make people understand the idea or the event as verbal listening do not target the sense in much deeper way as the visual effect do.

The people will grasp of the model very easily as they could see it and they are not required to imagine. While imagining the event or the idea, half of the senses are involved in it and let the individual understand less.  

If two ends A and B are connected through a metallic wire. If electrons flows from point B to point A. What can you say about the potential A and B.

Answers

Answer:

Point A is at higher potential than point B

Explanation:

Electrons are negatively charged - this means that they are attracted by positive charges and repelled by negative charges.

This also means that they tend to move in a direction opposite to the electric field lines (because electric field lines point away from a positive charge and toward a negative charge). So, they also tend to move from a point at lower potential to a point at higher potential.

In this problem, the electrons flow from point B to point A: therefore, point A must have higher potential than point B.

A sound wave traveling downward with a speed of about 4,000 m/s suddenly slows to 1,500 m/s not far below the Earth’s surface. What has the sound wave most likely encountered? a different kind of rock an underground lake an open cavity a pile of dinosaur bones

Answers

Answer: an underground lake

Explanation:

In general, sound (mechanical waves) travels faster in solids than in liquids, and faster in liquids than in gases. This is because the speed of the mechanical waves is determined by a relationship between the elastic properties of the medium in which they are propagated and the mass per unit volume of the medium (that is:density).

In other words: The speed of sound varies depending on the medium through which the sound waves travel.

So, if we are told the sound wave initially had a speed of 4,000 m/s and it suddenly decreases to 1,500 m/s, this means the sound waves passed from a solid medium to a liquid medium.

Hence, the correct option is: an underground lake.

Answer:

b

Explanation:

When word is done on an object by an ———- force, there will be a change in the total mechanical energy of the object. If ———- forces do work total mechanical energy will be conserved.

A. Internal, external
B. External, internal
C. Internal, applied
D. None of the above

Answers

I would say A but I could be wrong

According to “Law of conservation of mechanical energy”, there would be change in total mechanical energy of the object, when INTERNAL forces is applied on object. If EXTERNAL forces are applied, when mechanical energy will be conserved.

Answer: Option A

Explanation:

When the object experiences an internal force, the mechanical energy of the closed system changes whereas when the object experiences an external force, the closed system do not have any change in the mechanical force, according to the law of conservation of mechanical energy.

A company wants to start a nuclear power plant as a way to produce clean energy. They want to use the same reaction that's used in thermonuclear weapons. Which of the following explains why this is not possible?

A. The energy in nuclear fusion is too small to generate electricity.
B. The energy in nuclear fission produces chemicals that harm the environment.
C. The energy in nuclear fission burns out as soon as it's produced.
D. The energy in nuclear fusion can't be generated in a controlled manner

Answers

The correct choice is  D .

"Thermonuclear" is the fancy word used to indicate nuclear fusion ... the source of energy in the so-called "H-bomb".

Fusion has everything going for it:  

-- The raw material it uses is Hydrogen, which is cheap, plentiful, and all around us (in water).

-- The waste products left over from the reaction are ... water and Hydrogen !  Which are totally non-polluting.

-- The reaction produces a ginormous amount of energy.

That's why scientists and engineers have have been working around the clock for the past 60 years to figure out a way to use nuclear fusion to produce cheap, clean energy for commercial use.  But we don't have it yet.

Why is that ?  The answer is:  Because nuclear fusion is a lot like the mythical "Universal Solvent".

Think about this:  If you discovered a substance that could dissolve ANYTHING, could you sell it ?  You'd think it would be pretty valuable, right ?

Yes it would.  But what could you keep it in ?

Nuclear fusion is something like that.  It produces SO MUCH energy that we haven't found a way to CONTROL it yet ... start it and stop it, keep it going when you want it to keep going, keep it in one place without destroying the building, and draw off some of the energy in a nice controlled process.  

Once we develop ways to operate a fusion reaction and control it safely, energy may become so cheap that it's not even worth putting meters on the outside of our houses.  But we're not there yet.

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kurt is buying a new cell phone. he knows that the more features the cell phone has, the more expensive it will be The length of a rectangle is 3ydmore than twice the width x. The area is 230yd2. 16. You have 60 songs to choose from. In how many different ways can you load 5 songs onto your portable media player? In dictionary entries, the letter n means _____ new. next. noun. none. if square root x = -7, then x= -49 true or false Find the distance between the points (3, 8) and (-1, 9).Square root 15Square root 15Square root 17 write the equations in logarithmic form 10^3=1,000 Given the following equation: > 8 CO2 10 H20 2 410 + 13 02 How many grams of C4H10 are needed to react with 35.1 grams of O2? The importance of ethics of communication has been debated since at least the classical Greeks time. True or False. How does the paint on a car help to keep it from rusting?The paint acts as a catalyst.Paint decreases the temperature of the metal.Paint increases the surface area of the metal.Paint protects the metal from exposure to oxygen. If 8x4y=20 and 4x8y=4, what is the value of xy? (A) 1 (B) 2 (C) 3 (D) 4 (E) 6 Drive education Anyone that can help me with these two questions Sam is 5 years old. His older brother Tom, is three times as old as Sam. When Sam is 20, how old will Tom be? what is the domain of the following list of ordered pairs? (-2, 1), (2, 0), (-1, -3), (4, 6) Please Help! I need to get this right What was the three-fifths compromise? Did the Truman doctrine, Marshall Plan, Berlin Airlift, and Korea War reflect the U.S. policy of containment? George was given 11 grams of medicine, but the full dose is supposed to be 25 grams. What percent of his full dose did George receive? Solve with percent table and equivalent fractions During metamorphic processes, increased pressure and temperature can affect the _______ of minerals in rock. Rocks subjected to very high pressure are typically _______ than others because mineral grains are squeezed together, and the atoms are more closely packed. During metamorphic processes, water facilitates the transfer of ions between and within minerals, which can _______ the rate at which metamorphic reactions take place. The growth of new minerals within a rock during metamorphism has been estimated to be about _______ per million years. _______ metamorphism is commonly associated with convergent plate boundaries, where two plates move toward each other. During contact metamorphism, a large intrusion will contain _______ thermal energy and will cool much more slowly than a small one. Metamorphosed sandstone is known as _______. The metamorphic rock _______, made from metamorphosed shale, was once used to make blackboards for classrooms Again and again the Romans were defeated, till it almost seemed as if the Britons really would succeed in driving them out of the country. Boadicea herself led the soldiers, encouraging them with her brave words. "It is better to die with honor than to live in slavery," she said. "I am a woman, but I would rather die than yield. Will you follow me, men?" and of course the men followed her gladly. At last the Roman leader was so downcast with his many defeats that he went himself to the British camp, bearing in his hand a green branch as a sign of peace. When Boadicea was told that an ambassador from the Romans wished to speak to her, she replied proudly, "My sword alone shall speak to the Romans." And when the Roman leader asked for peace, she answered, "You shall have peace, peace, but no submission. A British heart will choose death rather than lose liberty. There can be peace only if you promise to leave the country. The Story of a Warrior Queen, Henrietta Elizabeth Marshall What theme is supported by this passage? Leadership is overrated. Leadership comes in all forms. Leadership is required for victory. Leadership means nothing without resources.