Two spheres exert a gravitational attraction on each other. Which of the following changes to this system would reduce the gravitational attraction by one half?

Answers

Answer 1

- Decreasing one of the masses to 1/2 of its original value

- Increasing the distance by a factor of [tex]\sqrt{2}[/tex]

Explanation:

There are no options provided, however we can still answer the question.

In fact, the magnitude of the gravitational force between two objects is given by  the equation:

[tex]F=G\frac{m_1 m_2}{r^2}[/tex]

where

[tex]G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2}[/tex] is the gravitational constant

m1, m2 are the masses of the two objects

r is the separation between them

We notice that:

The gravitational force is proportional to the product between the massesThe gravitational force is inversely proportional to the square of the distance between the masses

Therefore, in order to reduce the gravitational attraction by one half, we can do one of the following changes:

- Decreasing one of the masses to 1/2 of its original value: for example, if [tex]m_1'=\frac{1}{2}m_1[/tex], the gravitational force becomes

[tex]F'=G\frac{m_1' m_2}{r^2}=G\frac{\frac{1}{2}m_1m_2}{r^2}=\frac{1}{2}(G\frac{m_1m_2}{r^2})=\frac{1}{2}F[/tex]

- Increasing the distance by a factor of [tex]\sqrt{2}[/tex]: in fact, if [tex]r'=\sqrt{2}r[/tex], the gravitational force becomes

[tex]F'=G\frac{m_1 m_2}{r'^2}=G\frac{m_1m_2}{(\sqrt{2}r)^2}=\frac{1}{2}(G\frac{m_1m_2}{r^2})=\frac{1}{2}F[/tex]

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Related Questions

write out a correct version of:
"the fuel in a nuclear power station is hydrogen gas"​

Answers

"the fuel in a nuclear power station is Uranium 235"​

Explanation:

Nuclear fuel is one of the sources of energy. Nuclear fission is the method used to create nuclear energy. Nuclear fission is defined as the breaking down of the helium atoms to hydrogen which produces large amounts of energy. There is one method of preparing nuclear energy which is nuclear fusion. It is the fusion of four hydrogen atoms to form one helium atom. It happens only in the Sun. It produces a larger amount of energy than fissionThe fuel used in a nuclear power station is Uranium 235 and plutonium 239 and these are the radioactive metals.

Nichrome is used as heating element in heater.Why?​

Answers

Nichrome is a mixture of nickel and chromium. Nichrome Wire is highly resistant to the flow of electricity . This resistance causes an increase in generated heat . It also has the ability to be heated many times without being destroyed. It is is a mixture of nickel and chromium.This heat is powerful enough to heat the water without damaging the wire.

Nichrome wire's high resistance to electric current causes it to heat up and transfer heat, its resistance can be calculated using Ohm's Law, and it draws power when initially switched on.

Nichrome wire is used as a heating element in heaters due to its high resistance to electric current, which causes it to heat up and transfer that heat to its surroundings. When electricity flows through a conductor like nichrome, heat is generated as a result of the resistance to the flow of electrons.

The resistance of the Nichrome wire can be calculated using Ohm's Law, knowing the power output and voltage supplied. Additionally, the length of the Nichrome wire needed can be determined based on its cross-sectional area and operating temperature.

When first switched on, the Nichrome wire heating element will draw a certain power as it starts to heat up until it reaches its operating temperature and stabilizes.

A sprinter accelerates from rest to 10.0 m/s in 1.35 s l. What is her acceleration?

Answers

Answer:

7.4

Explanation:

Can you think of a device or machine that transfers the motion of a hot gas to motion of an object?

Answers

Answer:

Turbines in coal factories

Explanation:

Turbines in coal factories use steam power to move the turbine flaps and generate static electricity as energy output.

Explanation:

a machine or a device that transfers the motion of a hot gas to motion of an object is a rocket ship.

Which of the following shows the figure rotated 90 degrees counterclockwise around the origin and then reflected across the x axis?

Answers

Answer:

A

Explanation:

Transformation rule : The coordinates change by the rule when the figure rotate 90 degrees about the origin is given by

[tex](x,y)(-y,x)[/tex]

Transformation rule: When the figure reflected across x- axis then the coordinates change by the rule

[tex](x,y)(x,-y)[/tex]

The given figure cut x - axis at x=3

The coordinates (3,0).

After 90 degrees rotation about origin the coordinates becomes (0,3).

After reflection across x- axis , the coordinates becomes (0,-3).

Only in first figure, there is (0,-3) .

Hence, the option A is true.

How long will take your trip in hours if you travel 350km at an average speed of 80km/hr?

Answers

Answer:

4. hours to travel 350km going at a rate of 80km/hr.

Explanation:

Well first you must divide 350/80=4.375~4.

Answer: 4.375 hours

Explanation:

350 divided by 80 = 4.375

what happens to a circuit's resistance as more resistors are added in series?

Answers

Answer:

In a series circuit, adding more resistors increases total resistance and thus lowers current.

6. When you lift a heavy box and place it on top of
put the box on the table, it remains stationary. We h
object, you either add to or take away from its energ
the energy of the box? Was it potential or kinetic er

Answers

Answer:

6 bub

Explanation:

Lifting a heavy box and placing it on a table increases its potential energy due to the work done against gravity. The box remains stationary with this added potential energy. If the box were to fall, this potential energy would be converted into kinetic energy as it accelerates towards the ground.

When you lift an object such as a heavy box and place it on a table, if the box remains stationary, it means that you have changed its energy state. Specifically, you have increased its potential energy. Potential energy is the energy stored in an object as a result of its position or height. For example, in Physics, lifting a 20 kg box of books through a vertical distance of 2m would involve an energy expenditure of approximately 400 J, signifying that the box gained 400 J of potential energy. This energy transfer occurs because of the work done against gravity: applying a force to lift the object off the ground increases its potential energy. Once the object is released, if it falls, the stored potential energy is converted into kinetic energy as it accelerates towards the ground due to the force of gravity.

It is important to note that while lifting the object, if it is done slowly so that the box's speed does not change significantly, the kinetic energy of the object remains constant (nearly zero if lifted slowly enough), although its potential energy increases. This concept is exemplified when an object is lifted using a device powered by chemical energy, such as a gasoline engine; the chemical energy is converted into gravitational energy, which is then stored in the object as potential energy. When it comes to work and energy, the work done on an object adds to its total energy. If that work is done to lift an object against the force of gravity, it is stored as potential energy.

hi:) anyone able to explain what’s human reaction time in physics ? Thank you in advanced :)

Answers

Answer:

A reaction time is something that measures the amount of time for you to respond to a stimulus. For an example the average human reaction time for a visual stimulus is 0.25 seconds, 0.17 seconds for a audio stimulus and 0.15 seconds for a touch stimulus.

Explanation:

Stimulus - A thing or event that evokes a specific functional reaction in an organ or tissue

A 4.0kg block is sliding with a constant velocity of 3.0m/s on a frictionless table that is 0.5m high. If all of the block’s energy were kinetic energy, how fast would the block be moving?

Answers

Answer:

Velocity = 4.33[m/s]

Explanation:

The total energy or mechanical energy is the sum of the potential energy plus the kinetic energy, as it is known the velocity and the height, we can determine the total energy.

[tex]E_{M}=E_{p} + E_{k} \\E_{p} = potential energy [J]\\E_{k} = kinetic energy [J]\\where:\\E_{p} =m*g*h\\E_{p} = 4*9.81*0.5=19.62[J]\\E_{k}=\frac{1}{2} *m*v^{2} \\E_{k}=\frac{1}{2} *4*(3)^{2} \\E_{k}=18[J]\\Therefore\\E_{M} =18+19.62\\E_{M}=37.62[J][/tex]

All this energy will become kinetic energy and we can find the velocity.

[tex]37.62=\frac{1}{2} *m*v^{2} \\v=\sqrt{\frac{37.62*2}{4} } \\v=4.33[m/s][/tex]

When pressing the accelerator on a car, the _______ energy of the fuel is transformed into the ______ energy that makes the car move.

Answers

Answer:

the chemical energy of the fuel is transformed into the mechanical energy

Explanation:

got it right on USAtestprep

When pressing the accelerator on a car, the chemical  energy of the fuel is transformed into the mechanical energy that makes the car move.

What is energy transformation?

Energy can neither ne created nor be destroyed. But it can be transformed from one form to the other.  The energy transformation does not make any energy loss and the total energy is conserved always.

For instance in batteries, the chemical energy by electrolysis is converted into the electrical energy and which is passed into the electrical devices. This electrical energy further converted to mechanical energy to work fan, motors etc.

When pressing accelerator of the car, the chemical energy released from the combustion of the fuel is converted into the mechanical energy that drives the car ahead.

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how much thermal energy is needed to boil 2.65kg of water at its boiling point

Answers

Answer:5990 kj

Explanation:

A baseball travels a distance of 20 meter at a speed of 25m/s. How much time did it take?

Answers

The baseball takes 0.8 s to travel a distance of 20 m at a speed of 25 m/s.

Explanation:

It is known that speed is the rate at which any object covers a particular distance.

So [tex]speed =\frac{\text { distance }}{\text { time }}[/tex]

Hence, it is known that speed is directly proportional to distance covered and inversely proportionate to the time taken to cover this distance.

Similarly, the time taken by any object to cover a distance is directly proportionate to the distance and inversely proportionate to the velocity of the object.

As the distance is given as 20 m and speed is given as 25 m/s, then the time can be easily obtained by finding the ratio of distance to speed.

Here,

          [tex]\text { Time }=\frac{\text {distance}}{\text {speed}}=\frac{20}{25}=0.8 \mathrm{s}[/tex]

Thus, the baseball takes 0.8 s to travel a distance of 20 m at a speed of 25 m/s.


What do most stars originally form as?
A. protostars
B. photon stars
C. neutron stars
D. binary stars or multiple stars

Answers

Answer:

Protostars

Explanation:

Most stars originally form from protostars.

How many electrons in a hydrogen atom?

Answers

Answer:

Explanation:

Hydrogen is the first element on the periodic table. That tells you there is 1 electron.

Atoms with electronegativity differences below 0.4 generally form covalent
bonds. True or False​

Answers

Final answer:

The statement is true; atoms with electronegativity differences below 0.4 typically form covalent bonds, with a bond being considered nonpolar covalent when the electronegativity difference is less than 0.4.

Explanation:

The statement that atoms with electronegativity differences below 0.4 generally form covalent bonds is true. In chemistry, the electronegativity difference between bonding atoms is a determinant of the type of bond they will form. If the difference in electronegativities is less than about 0.4, the bond is typically considered nonpolar covalent, where the bonding electrons are shared equally between the two atoms, and the distribution of electrical charge is balanced. When the electronegativity difference is between 0.4 and about 1.7, the bond is classified as polar covalent, meaning electrons are not shared equally, leading to a partial charge distribution within the molecule.

An electronegativity difference of zero indicates an absolute nonpolar covalent bond, while significantly higher differences (usually greater than about 1.8) suggest the bond will be ionic in character, where electrons are transferred from one atom to another, resulting in the formation of ions.

Force that opposes motion between two surfaces

Answers

Answer:

Friction force

Explanation:

Friction force is a force that opposes a motion from moving but friction may seem a bad thing but it is very useful for writting and for other things. please give me a like and thank me.

Final answer:

The force that opposes motion between two surfaces is known as friction. It depends on the types of materials and surfaces in contact. There are four types of friction: Static, Sliding, Rolling, and Fluid, and each one has practical applications in our daily lives.

Explanation:

The force that opposes motion between two surfaces is known as friction in physics. Friction is everywhere in our daily lives. It's the force that allows us to walk, ride a bike, or even hold objects in our hands. The amount of friction between two surfaces is dependent on the type of materials in contact and how rough the surfaces are. For example, ice has less friction than gravel.

There are four types of friction: Static, Sliding, Rolling, and Fluid. The friction that opposes motion between two stationary objects (when you try to slide a heavy box, for instance) is known as static friction. When the objects are set in motion, the friction is known as sliding friction. A moving object over the surface like a wheel over the road experiences rolling friction. Fluid friction refers to the resistance between layers within a viscous fluid or when the fluid is moving over a surface. Each type of friction has important practical applications and implications in our day-to-day life.

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Which of the following is a property of all periodic waves?
A. They follow a repeating pattern as they propagate.
B. They oscillate in a direction perpendicular to the direction in which they propagate.
C. They tend to propagate in a circle.
D. They always return to the same place.

Answers

Answer: Option A. They follow a repeating pattern as they propagate

Explanation:

The kinetic energy of a ball with the mass of 0.5 kg and a velocity of 10 m/s is what

Answers

Answer:

25J

Explanation:

Kinetic energy = 1/2 mv²

Mass = m= 0.5kg

Velocity = v = 10m/s

K. E = 1/2 x 0.5 x 10 x 10

K. E = 0.5 x 5 x 10

K. E = 2.5 x 10

K. E = 25 J

The S. I unit of energy is joules with symbol J

I hope this was helpful, Please mark as brainliest

Answer:

A.) 25j

Explanation:

k= 1/2mv^2

The density of an object is defined as its mass divided by its volume. Suppose the mass and volume of a rock are measured to be 8
g and 2.8325 cm^3.

What is the correct number of significant figures for the rock's density?
Express your answer using one significant figure.

Answers

Answer: 3g/cm3

Explanation:

Mass = 8g

Volume = 2.8325 cm^3.

Density = Mass / volume

Density = 8/2.8325 = 3g/cm3

What limits current flow or the opposition to the movement of electrons?

Answers

Answer:

Resistor

Explanation:

Resistors are measured in ohms . So one ohm is the amount of resistance that opposes current flow from one part of a circuit to another. The voltage v is directly proportional to the current I so , V= IR

Resistance R =

voltage v/ current I


2. Suppose one of your classmates says “The net force on an airplane is zero, therefore
must be on the ground and at rest." Is this a correct statement! Why or why not?

Answers

This is a false statement. Newton's first law says that if the net force on an object is zero, the object stays in UNIFORM MOTION. That means it keeps moving at a constant speed, in a straight line. It can certainly have some speed, in some direction, but without any net force, they CAN'T CHANGE.

1. What is the power when a voltage of 120 V drives a 2-A current through a device?
P=?
V=
Pa
P=

Answers

Yo sup??

To solve this question we must know that

P=VI

V=120 V

I=2 A

Therefore by using the above formula we get

P=120*2

=240 J

Hope this helps.

Answer: 240watt

Explanation:

V = 120 V

I = 2A

P = IV = 2 x 120

P = 240watt

Which particle is a form of antimatter?
A. hydrogen-1
B. photon
C. positron
D. neutrino

Answers

Answer:

C. positron

Explanation:

Antimatter particles bind with each other to form antimatter, just as ordinary particles bind to form normal matter. For example, a positron (the antiparticle of the electron) and an antiproton (the antiparticle of the proton) can form an antihydrogen atom.

There you go.

Answer:C. positron

Explanation:

A person jumps from the roof of a house 3.5-m high. When he strikes the ground below, he bends his knees so that his torso decelerates over an approximate distance of 0.71 m .


If the mass of his torso (excluding legs) is 45 kg , find the magnitude of the average force exerted on his torso by his legs during deceleration.

Answers

Final answer:

The person's legs exert a force on his torso during deceleration equivalent to the work they must do to bring his torso's kinetic energy to zero. This force can be calculated using the relationship between work and energy and the mass, height of the fall, and distance over which the force is applied.

Explanation:

To find the magnitude of the average force exerted on the person's torso by his legs during deceleration, we need to use the relationship between work and energy, specifically the work-energy theorem. This theorem states that the work done on an object is equal to the change in its kinetic energy.

When the person jumps from the roof, he gains kinetic energy equal to the gravitational potential energy he loses, which can be calculated as mgΔh, where m is the mass of the torso (45 kg), g is the acceleration due to gravity (9.8 m/s²), and Δh is the height of the fall (3.5 m).

This kinetic energy becomes zero when the person's legs decelerate his torso to a stop. The work done by the legs in this process is therefore equal to the kinetic energy the torso had initially, which gives a force F according to the equation W = F⋅d, where W is the work and d is the distance over which the force is applied (0.71 m).

Solving for F we find the average force exerted by his legs during deceleration.

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Final answer:

The problem is about calculating force exerted on a person's torso when he jumps from a certain height. Initially the gravitational potential energy of the person is converted to kinetic energy, and then dissipated as work done when he bends his knees to decelerate. The force can be calculated by first calculating deceleration and then using F=ma, where m is the mass of the torso and a is the deceleration.

Explanation:

The subject of your question involves calculating the force exerted on a person's torso by his legs during a jump from a certain height. This is a physics problem related to gravitational potential energy, kinetic energy, and work. Initially, when the person is on top of the roof, the entire energy of the system is gravitational potential energy which can be calculated by the formula: PE = mgh. When the person jumps and hits the ground, this energy transforms into kinetic energy. However, this kinetic energy is not immediately dissipated. Instead, the person bends their knees and decelerates over a certain distance, which implies that the energy is dissipated over a certain period of time or work done. This work done can be calculated by the formula: W = -KE = mgh. The force can therefore be calculated using the formula: F = ma, where a is the deceleration. The deceleration can be obtained from the relation between displacement, initial velocity, final velocity, and acceleration which is (final velocity^2) = (initial velocity^2) + 2*a*d. Here, initial velocity is the velocity with which the person hits the ground and the final velocity is zero as the person completely stops and 'd' stands for the distance over which the person decelerates.  Once 'a' is calculated, it can be substituted into the equation F = ma to find the force.

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How much heat is needed to change 1.25 kg of steak at 100°C to water at 100°C?

Answers

The heat required to change 1.25 kg of steak is 2825 kJ /kg.

Explanation:

Given, mass m = 1.25 kg,     Temperature t = 100 degree celsius

To calculate the heat required,

                                 Q = m [tex]\times[/tex] L

where m represents the mass in kg,

          L represents the heat of vaporization.

When a material in the liquid state is given energy, it changes its phase from liquid to vapor and the energy absorbed in this process is called heat of the vaporization. The heat of vaporization of the water is about 2260 kJ/kg.

                                  Q = 1.25 [tex]\times[/tex] 2260

                                  Q = 2825 kJ /kg.

which graph represents what happens to the pressure in a tire as air is added to the tire, assuming the temperature is constant

Answers

The correct option is option A.

Explanation:

According to the universal gas equation, the product of the pressure and volume of a gas is directly proportional to the product of the number of moles of gas and the absolute temperature of the gas.

So PV is proportional to nT.

Here, it's said that the temperature of the gas is constant. And inside a tube, the volume of the gas remains constant.

So the pressure of the gas will be directly proportional to the number of moles of gas. So as the number of moles of the gas rises, the pressure of the gas also rises. So, with addition of more gas into tyre, the pressure of gas will also increase.

Answer:

a

Explanation:

gradpoint gang

In this section of a circuit, a current of 2.0 A flows across R1. What is the current across R2? Let R1 = 4.0 ohm, R2 = 8.0 ohm, and R3 = 1.0 ohm.

Answers

Answer:

I=1A

Explanation:

In parallel combination voltage is same

In R1

V=IR

V=2×4

V=8V

In R2

V=IR

I=V/R

I=8/8

I=1A

The coil springs on a car's suspension have a value of k = 64000 N/m. When the
car strikes a bump the springs briefly compress by 5.0 cm (.05 m). How much
energy is momentarily stored in each spring?

Answers

80 joule is momentarily stored in each spring

Solution:

Given that,

The coil springs on a car's suspension have a value of k = 64000 N/m

When the  car strikes a bump the springs briefly compress by 5.0 cm (.05 m)

By compressing the spring, we apply a force over a distance

As a result we have done work on the spring

Doing work means that we have transferred energy to spring in form of elastic potential

Therefore,

k = 64000 N/m

x = 0.05m

The elastic potential energy is given as:

[tex]PE = \frac{1}{2}kx^2[/tex]

Where, "k" is the spring constant and "x" is the displacement

[tex]PE = \frac{1}{2} \times 64000 \times 0.05^2\\\\PE = 32000 \times 0.0025\\\\PE = 80[/tex]

Thus 80 joule is momentarily stored in each spring

The energy momentarily stored in each spring is[tex]\(\frac{1}{2} \times 64000 \times (0.05)^2 = 80\) joules.[/tex]

To find the energy stored in a spring when it is compressed, one can use the formula for elastic potential energy, which is given by:

[tex]\[ U = \frac{1}{2} k x^2 \][/tex]

where U is the elastic potential energy, k is the spring constant, and x is the compression or extension of the spring from its equilibrium position.

Given that the spring constant k is 64000 N/m and the compression x is 5.0 cm (which is 0.05 m when converted to meters), we can substitute these values into the formula:

[tex]\[ U = \frac{1}{2} \times 64000 \times (0.05)^2 \][/tex]

[tex]\[ U = \frac{1}{2} \times 64000 \times 0.0025 \][/tex]

[tex]\[ U = 32000 \times 0.0025 \][/tex]

[tex]\[ U = 80 \][/tex]

Therefore, the energy momentarily stored in each spring is 80 joules.

How does the lithosphere support life? A. It provides resources like food and shelter to support life. B. It produces water, which it stores in oceans. C. It maintains an optimum surface temperature for life. D. It is the source of energy for all living things.

Answers

Answer:

A.  It provides resources like food and shelter to support life. ( on edmentum at least.)

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Zenya is the founder of an online service that allows users to rent out spare rooms in their homes. She has hired a number of extremely bright employees whose opinions are central to the company's success in the fast-paced online services industry. Which type of strategic management process would be most likely to fully utilize the strengths embodied by her team and position the company to capitalize upon autonomous actions and serendipity? Select the correct answer.AB and BC form a right angle at point B. If A= (-3,-1) and B = (4,4), what is the equation ofO A.x + 3y = 16B. 2x + y = 12C.-7x- 5y = -48D. 7x - 5y = 48 Melissa sells her art online for $49.50 per print. How many prints must she sell next month if she wants to earn at least $2000? Suppose that disposable income, consumption, and saving in some country are $800 billion, $700 billion, and $100 billion, respectively. Next, assume that disposable income increases by $80 billion, consumption rises by $56 billion, and saving goes up by $24 billion. What is the economys MPC? Its MPS?Instructions: Round your answers to one decimal place.MPC =MPS =What was the APC before the increase in disposable income? After the increase?Instructions: Round your answer to two decimal places.APC before the increase in disposable income =Instructions: Round your answer to three decimal places.APC after the increase in disposable income = Is 24/40 4/5 a true proportion? How much simple interest will be charged on a 40,000 loan with a 7% interest rate that is paid back in 4 years? NC State is a community that is strong because of the diversity of our perspectives and experiences. Please describe how you could contribute to or benefit from campus diversity. The exterior angles of triangle UVW are X, Y, and Z, and they are adjacent to U, V, and W, respectively.If mU is 33, and mZ is 130, what is mV? Which of the following choices is not evidence supporting the theory of plate tectonics? Which term completes the product so that it is the difference of squares?| (-5x-3)(-5x+_... During the battle of Bunker Hill, Colonel William Prescott ordered the American Army to bombard the British Army camped near Boston. The projectiles had an initial velocity of 41 m/s at 38 above the horizon and an initial position that was 35 m higher than where they hit the ground. How far did the projectiles move horizontally before they hit the ground? Ignore air resistance. Preston and Joel are both solving the equation 2x=14. Preston is not sure what to do because he does not know a power of 2 that equals 14. Joel uses his calculator to graph y=2x and y=14 and find the point of intersection. Will Joel's method work? Write an equation for the nth term of the geometric sequences. Then Find a6A. 2, 8, 32, 128, ...B. 0.6, -3, 15, -75, ...C. -1/8, -1/4, -1/2, -1, ...D. 0.1, 0.9, 8.1, 72.9, ... An angle with a measure of 36(degrees)would be classified as which type of angle? What is the answer 9:3 :: 49 : Select the correct answer from each drop-down menu. A population of frogs inhabits a lake. If the resource availability of the lake changes, the population may to use the resources that are available. As a result, the population would exhibit . Assets are usually reported at their A. appraised value. B. historical cost. C. current market value. D. none of the above. 1. You are the network manager for a computer training center that allows students to bring their own laptops to class for learning and taking notes. Students need access to the Internet, so you have configured your networks DHCP server to issue IP addresses automatically. Which DHCP option should you modify to make sure you are not wasting addresses used by students who have left for the day? Crispy Clover, a popular vegetarian restaurant, introduced a new menu that has 20\%20%20, percent more dishes than the previous menu. The previous menu had DDD dishes.Which of the following expressions could represent how many dishes Crispy Clover's new menu has? 6. Explain how an item's target market might affect its price,