A sphere of radius R has charge Q. The electric field strength at distance r>R is Ei. Each Part in this question changes only one quantity; the other quantities have their initial values.
A) What is the ratio Ef/Ei of the final to initial electric field strengths if Q is halved?
B) What is the ratio Ef/Ei of the final to initial electric field strengths if R is halved?
C) What is the ratio Ef/Ei of the final to initial electric field strengths if r is halved (but is still >R)?

Answers

Answer 1

The ratio Ef/Ei of the final to initial electric field strengths, if Q is halved, is 1/2. B) The ratio Ef/Ei of the final to initial electric field strengths, if R is halved, is 4. C) The ratio Ef/Ei of the final to initial electric field strengths if r is halved (but is still >R) is 2. The correct option is A).

Given that Sphere of radius R has charge Q. The electric field strength at a distance r > R is Ei. Therefore, the electric field intensity at a distance from the center of a charged sphere of radius R is:

Ei = kQ/R² ... (1)

Now,

A) When Q is halved, the electric field intensity

\(Ef isEf = kQ/2R² ... (2)\)

Therefore, the ratio of the electric field intensity at r > R after Q is halved and before halving is:

\(++Ef/Ei = (kQ/2R²)/(kQ/R²) = 1/2B)\)

When R is halved, the electric field intensity

\(Ef isEf = kQ/(R/2)² = 4kQ/R² ... (3)\)

Therefore, the ratio of the electric field intensity at r > R after R is halved and before halving is:

\(Ef/Ei = (4kQ/R²)/kQ/R² = 4C)\)

When r is halved (but still >R), the electric field intensity Ef is

\(r = R/2...\)

Therefore, the ratio of the electric field intensity at r > R after r is halved and before halving is:

\(Ef/Ei = kQ/(R/2)² / kQ/R² = 2.\)

Hence, the required ratios are A) 1/2 B) 4 C) 2. Therefore, the correct option is A).

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Related Questions

What fitness level is helpful to know when a person is starting an exercise program

Answers

Answer:

There are various areas that should be considered to access the fitness level of an individual.

Explanation:

Knowing the specific details can help an individual to set realistic fitness goals, monitor their progress, and retain motivation. Fitness is typically measured in four main areas: cardiovascular fitness, muscle strength and endurance, flexibility, and composition of the body. It is important to evaluate these vital components of fitness so that one gets a fair knowledge of present fitness level and plan for the future accordingly.

A car traveling towards east at 40 m/s and turns towards left and travels at same speed. The change in velocity is

Answers

Answer:

Explanation:

In physics the term velocity is always a vector.  All that means is that it's got a direction with it.  which also means this vehicle that was traveling in the east direction and then turned left is and is now ,  maybe traveling in a north direction.  Making the guesses that the car was traveling due East and is now traveling due North, then the car has changed it's velocity by 40 m/s.  By The Way do you happen to know how fast 40 m/s is?  it's about 144 Kph  :0  or about 90 MPH    so this guy is also speeding  :D,  write him a ticket ... :P

A small car with mass 0.710 kg travels at constant speed on the inside of a track that is a vertical circle with radius 5.00 m the following figure.(Figure 1)
If the normal force exerted by the track on the car when it is at the top of the track (point B) is 6.00 N, what is the normal force on the car when it is at the bottom of the track (point A)? Express your answer with the appropriate units.
Figure 1
of 1
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F 28.1
N
5.00 m
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Answers

The normal force on the car when it is at the bottom of the track (point A) is 28.1 N.

At the bottom of the track (point A), the car is experiencing both its weight (mg) and the centripetal force (mv²/r) directed towards the center of the circular path. The normal force, represented by N, acts perpendicular to the track surface.

To find the normal force at point A, we need to consider the net force acting on the car. The net force is the vector sum of the weight and the centripetal force.

At the bottom of the track, the net force is directed towards the center of the circular path and is given by:

Net force = weight + centripetal force

Net force = mg + (mv²/r)

Since the car is traveling at a constant speed, the net force must be equal to the centripetal force. Therefore:

mv²/r = mg + (mv²/r)

Simplifying the equation, we have:

mv²/r - mv²/r = mg

0 = mg

This means that the net force at point A is equal to zero. Therefore, the normal force (N) at point A must equal the weight of the car, which is given as 28.1 N in the figure. Thus, the normal force on the car at the bottom of the track (point A) is 28.1 N.

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Which object has the most thermal energy?

A. A 10 kg rock at 10°C
B. A 6 kg rock at 15°C
C. A 10 kg rock at 15°C
D. A 6 kg rock at 10°C

Answers

C. A 10 kg rock at 15 degrees Celsius

Answer:

10 kg rock at 15 degrees

Explanation:

did test

An fm radio station broadcasts at 98. 6 mhz. What is the wavelength of the radiowaves?.

Answers

The wavelength of radiowaves is 3.042 m.

What is radiowaves?

The electromagnetic spectrum's longest wavelengths, which are found in radio waves, are normally found at frequencies of 300 gigahertz and below.

Frequency given, f = 98.6 MHz = 98.6 x \(10^{6}\) cycles/second

Electromagnetic waves including radiowaves also travel at the speed of light.

Therefore, c = 3.0 x \(10^{8}\) m/sec

Wavelength = speed/frequency

wavelength of 98.6 MHz = 3.0 x \(10^{8}\)/98.6 x \(10^{6}\) meters

=3.042 meters

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What is the potential energy of a stone of mass 10 kg that is lifted to a height of 8m?

Answers

The potential energy of a stone of mass 10 kg that is lifted to a height of 8m is -784 Joule.

Potential energy is essentially what it sounds like, though there are some nuances. An object's actual potential energy is determined by its position in relation to other objects. For example, a brick suspended from a two-story building has more potential energy than a brick resting on the ground. This is due to the brick's relative position to the Earth providing it with more energy. However, because there is no force acting on them, two bricks next to each other do not give each other more energy.

Given,

Mass of stone = 10kg

Height = 8m

Potential energy can be determined by formula,

P=mgh

Where, g= gravitational acceleration = \(-9.8 m/s^2\)

Here, gravitational acceleration is negative because stone is thrown against the gravitational pull

\(P=10*8*(-9.8)=-784 J\)

Hence, the potential energy is -784 J

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While driving his sports car at 20.0 m/s through a residential neighborhood, Royston
comes up behind a slow-moving grandma and decides to pass her on the left. If
Royston can accelerate at 6.00 m/s2, how long will it take for him to reach a velocity of
30.0 m/s?

Answers

Answer:

1.67s

Explanation:

Given parameters:

Initial velocity  =  20m/s

Acceleration  = 6m/s²

Final velocity  = 30m/s

Unknown:

Time taken  = ?

Solution:

Acceleration is the rate of change of velocity with time. It is mathematically expressed as;

 Acceleration = \(\frac{v - u }{t}\)  

v is the final velocity

u is the initial velocity

 t is the time taken

            6  =\(\frac{30 - 20}{t}\)  

            6  = \(\frac{10}{t}\)  

              10  = 6t

              t  = 1.67s

Using Ohm's law, what is the current passing through a wire when the 10 V is placed across a wire with 50 Ohms? (3pts) If voltage is slowly increased, what will happen to current flow? What will the current be if that initial voltage (10 V) is used but now a longer the wire is 10x longer?

Answers

Ohm's Law is V = IR, where V is voltage, I is current, and R is resistance. To find the current passing through a wire when the 10 V is placed across a wire with 50 Ohms, we need to use the formula I = V/R.

So, I = 10 V / 50 Ω = 0.2 A. Therefore, the current passing through a wire when the 10 V is placed across a wire with 50 Ohms is 0.2 A.If voltage is slowly increased, the current flow will also increase, as per Ohm's law I = V/R. The current will increase proportionally as long as the resistance remains constant.

If the resistance changes with respect to the voltage, then the current flow will change differently. For example, if the voltage increases and the resistance also increases proportionally, then the current flow will remain the same.

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An astranaut floating alone in outer space throws a basball if the ball moves at 20 m/s
the astranout will......

Answers

Answer:

20 m/s = 44 mph

He will get moved more to earth or away

Explanation:

Answer:

They will get pulled to the earth or moved away

Explanation:

What was the rate of reaction in trial 3? select the closest answer. A. 9. 55×10−6 m⋅s−1 b. 4. 86×10−6 m⋅s−1 c. 7. 33×10−6 m⋅s−1 d. 6. 58×10−6 m⋅s−1

Answers

Unfortunately, the information about trial 3 and the rate of reaction is missing in the given question. Without specific data or context,

The given question asks for the rate of reaction in trial 3 but does not provide the necessary information to calculate it. In order to determine the rate of reaction, specific data such as the change in concentration or the time taken for the reaction needs to be provided. Without this information, it is not possible to accurately determine the rate of reaction. The rate of reaction is a measure of how quickly reactants are converted into products and is influenced by factors such as temperature, concentration, and the presence of catalysts. Therefore, without the relevant data for trial 3, it is not possible to calculate or provide an answer regarding the rate of reaction in that specific trial.

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You might have heard the phrase ‘hot air rises'. Name the process of transferring energy using moving gas or liquid.

Answers

Answer: Convection

Explantion: Convection occurs when particles with a lot of heat energy in a liquid or gas move and take the place of particles with less heat energy. Heat energy is transferred from hot places to cooler places by convection

If the ice extended right around the earth, forming a loop that that puck could go around in circles would the puck keep going forever?

Answers

If the ice extended right around the earth, forming a loop that the puck could go around in circles, the puck would not keep going forever. The laws of physics would eventually cause the puck to come to a stop. This is because of two factors: air resistance and gravity.

Air resistance is the force that opposes the motion of objects through the air. It is what causes things like parachutes to slow down as they fall. Even if there were no air in the hypothetical scenario of a loop of ice around the earth, there would still be air resistance. This is because the puck would be moving through the magnetic field of the earth, which would create a force that would oppose its motion.Gravity is the force that pulls objects towards each other. It is what keeps us on the ground and the planets in orbit around the sun. In the hypothetical scenario of a loop of ice around the earth, the puck would be subject to the gravitational pull of the earth. As it traveled around the loop, it would lose kinetic energy due to this gravitational force. Eventually, it would come to a stop at the bottom of the loop, where the force of gravity would be the strongest.The speed at which the puck would come to a stop would depend on a number of factors, including the size of the loop, the mass of the puck, and the force of gravity. However, in general, it is safe to say that the puck would not keep going forever if it were to travel around a loop of ice around the earth.

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A condition that lifts a parcel of air to form cumulus clouds is
Answer
a. differential heating.
b. mountain barriers.
c. a cold front.
d. All of the above.

Answers

A condition that lifts a parcel of air to form cumulus clouds is  differential heating.

Thus, Differential heating of the land and the water. Water changes temperature more slowly because it has a high specific heat, like the ocean. Land, particularly sandy beaches, has a low specific heat, therefore it warms up faster than water with the same amount of heat.

Our beach towels are blown away by this land-and-water combination, but it is also to blame for more extreme weather like monsoons and thunderstorms and heat.

The typical afternoon thunderstorm might be produced by sea breezes. For instance, the Florida peninsula is bordered by the ocean on both sides. Cool air from the Gulf of Mexico blows inland on the western side as a sea breeze. A sea wind from the Atlantic Ocean causes the same thing to occur on the eastern side and differential heating.

Thus, A condition that lifts a parcel of air to form cumulus clouds is  differential heating.

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What is an inclined plane that is wrapped in spiral

Answers

Answer:

A screw

Explanation:

The threads of a screw act like an inclined plane to increase the distance over which you exert the input force.

a string under a tension of 54.8 n is used to whirl a rock in a horizontal circle of radius 2.64 m at a speed of 21.6 m/s. the string is pulled in and the speed of the rock increases. when the string is 1.29 m long and the speed of the rock is 48.1 m/s, the string breaks. what is the breaking strength (in newtons) of the string?

Answers

We may answer this problem using the centripetal force formula, F = (mv2)/r, where F is the centripetal force, m is the object's mass, v is its velocity, and r is the radius of the circle.

In this situation, we suppose that the rock's mass remains constant. When the string is 2.64 m long and the rock is moving at 21.6 m/s, the tension force in the string is: F = (m x v2)/r = (m x 21.62)/2.64 = 322.47 N The radius of the circle falls to 1.29 m as the string is drawn in, and the velocity of the rock increases to 48.1 m/s. The force necessary to keep the rock rolling in a circle. at this speed is: F = (m x 48.1^2) / 1.29 = 1727.73 N Because the string breaks at this point, its breaking strength equals the centripetal force needed, which is 1727.73 N. As a result, the string's breaking strength is 1727.73 N.

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A hot-water heater is operated by solar power. If the solar collector has an area of 5.8 m2 and the power delivered by sunlight is 550 W/m2, how long will it take to increase the temperature of 1.0 m3 of water from 25°C to 57°C?

Answers

Answer:

26°

Explanation:

inreases by a minute

Help please!!

Daryl uses a microphone connected to an oscilloscope to study sound waves. He finds that higher pitched sounds have higher frequencies and shorter wavelengths while lower pitched sounds have lower frequencies and longer wavelengths. Daryl concludes that the relationship between the frequency and the wavelength of sound waves in air is the result of causation and not correlation. In two to three sentences, describe whether Daryl's conclusion is correct and explain why or why not.

Answers

In my opinion, the relationship between the frequency and the wavelength of sound waves in air is the result of correlation.

Relationship between frequency and wavelength

Frequency and wavelength are inversely proportional to each other which means if the frequency increases the wavelength decreases and when the frequency decreases, the wavelength increases.

So we can conclude that the relationship between the frequency and the wavelength of sound waves in air is the result of correlation.

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Daryl's conclusion about the relationship between frequency and wavelength is accurate because this is the result of causation.

What is the difference between causation and correlation?

Causation implies one factor is the cause of another. For example, plants' need for the sun causes them to grow towards the sun.

On the other hand, correlation occurs if two factors are related and therefore the increase in one factor affects the other. For example, the amount of daylight affects plants' photosynthesis rate.

Are frequency and wavelenght an example of causation or correlation?

These two factors are an example of causation because a higher frequency in waaves leads to shorter wavelenghts and vice-versa.

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Because they sit high up, truck drivers have excellent visibility
Choose matching definition
a. ahead
b. advance
c. forward
d. left

Answers

Because they sit high up, truck drivers have excellent visibility (option c) forward.

The statement suggests that truck drivers have a good view of the road and surroundings in the direction they are moving, which is forward.

The high position of the driver's seat in trucks provides an advantageous vantage point, allowing them to see the road ahead clearly and have a better perspective of the traffic conditions.

Sitting higher than most vehicles on the road, truck drivers benefit from an elevated position that enhances their field of vision.

This elevated viewpoint allows them to have a broader and clearer view of the road, enabling them to anticipate and react to potential hazards or obstacles in advance.

The improved visibility from the elevated seat position helps truck drivers make informed decisions while driving and enhances overall safety.

In conclusion, the phrase "truck drivers have excellent visibility because they sit high up" suggests that the excellent visibility is primarily in the forward direction, providing them with a clear view of the road and surroundings ahead.

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which are cardiovascular drug classes? select all that apply

Answers

Cardiovascular drug classes are Beta-blockers, Diuretics, Calcium channel blockers, and ACE inhibitors. The correct answer is options are A, B, D, and F.

Cardiovascular drug classes refer to categories of medications specifically designed to treat conditions related to the cardiovascular system. These medications target various aspects of cardiovascular health, such as blood pressure regulation, heart rhythm management, and the prevention of clot formation. Several recognized cardiovascular drug classes include:A) Beta-blockers: These drugs block the effects of adrenaline on the heart and blood vessels, reducing heart rate and blood pressure.B) Diuretics: Also known as water pills, diuretics help eliminate excess fluid from the body, reducing fluid buildup and decreasing blood pressure.D) Calcium channel blockers: These medications relax and widen blood vessels, improving blood flow and reducing blood pressure. They also help regulate heart rate.F) ACE inhibitors: ACE (angiotensin-converting enzyme) inhibitors lower blood pressure by blocking the production of a hormone that narrows blood vessels.Therefore, the correct options for cardiovascular drug classes are A) Beta-blockers, B) Diuretics, D) Calcium channel blockers, and F) ACE inhibitors. These medications play crucial roles in managing cardiovascular conditions and promoting overall heart health.

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The correct question would be as

Which of the following are cardiovascular drug classes? Select all that apply.

A) Beta-blockers

B) Diuretics

C) Antibiotics

D) Calcium channel blockers

E) Antidepressants

F) ACE inhibitors

2. A disturbance that generates a wave may be a simple pulse or shock.
b. False
a.
True

Answers

That's true.

-- a bell starts ringing (wave) when you tap it (simple pulse)

-- a pond starts rippling (wave) when a stone drops in (simple shock)

-- a guitar strings starts waving when you pluck it

A 0.045-kg golf ball is dropped from rest. Is dropped from a height of 1.3m and comes back up at a height of .7m

Answers

The  time to drop from 1.3m and velocity after height at 0.7 mis mathematically given as

t1 = 0.515 sec  

v0 = 3.7m/s

What is the time to drop from 1.3m and velocity after height at 0.7?

Question Parameters:

A 0.045-kg golf ball is dropped from rest.

Is dropped from a height of 1.3m and comes back up at a height of .7m

Generally, the equation for the time to drop from 1.3m   is mathematically given as

yf - yi = vi t + a t^2/ 2

Therefore

0 - 1.3 = 0 - 9.8 t^2 /2

t1 = 0.515 sec  

Hence, after its max height is 0.7 m,

vf^2 - vi^2 = 2 a (yf - yi)

0^2 - (v0)^2 = 2(-9.8)(0.7 - 0)

v0 = 3.7m/s

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Can someone please help

Can someone please help

Answers

99.16 Newtons is the new force of attraction between the particles.

What causes an atoms to attract one another?

The forces that hold atoms together to create molecules and solids are referred to as chemical bonds. The attraction between the electrons of one atom and the nuclei of another atom as a result of this electric force is what is known as a chemical bond.

\(F = (kq1q2)/r^2\)

\(9,916 = (kq1q2)/r^2\)

\(F = (k*(q1/5)*(q2/5))/(2r)^2\)

\(F = (1/100)((kq1*q2)/(r^2))\)

So, the new force of attraction is:

\(F = (1/100)*9,916 = 99.16\)Newtons (rounded to 4 decimal places)

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Rank the three types of UV radiation in order of increasing wavelength, starting with the shortest wavelength radiation at the top of the list.

Answers

According to increasing wavelength, the three forms of UV radiation are ranked as follows: UVC, UVB, UVA

What is UV radiation?

The sun and other sources of electromagnetic radiation produce UV radiation, also known as ultraviolet radiation. It is invisible to the human eye and has a wavelength that is shorter than visible light but longer than X-rays.

Based on wavelength, UV radiation can be categorized into three groups: UVA, UVB, and UVC. The shortest wavelength of UV radiation, UVC, is absorbed by the ozone layer before it reaches the surface of the planet. The atmosphere of the Earth partially absorbs UVB because it has a somewhat longer wavelength. The majority of UV light that reaches the Earth's surface is UVA because it has the longest wavelength and is least absorbed by the atmosphere.

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What happens to the energy of a photon if the wavelength is doubled?.

Answers

Answer:

Halving the wavelength doubles the frequency and, thus, doubles the energy of the incident photons. This doubles the energy given to each electron, nearly doubling its kinetic energy after it is free from the metal.

Highlight the correct answer.

A.) An object with more mass has more/less gravitational force than an object with a smaller mass.

B.) Objects that are closer together have more/less of a gravitational force between them than objects that are further apart.

Answers

The correct answer is B. According to Newton's law of universal gravitation, the gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

In simpler terms, as objects get closer together, the gravitational force between them increases.

When the distance between two objects decreases, the denominator of the equation (distance squared) becomes smaller, resulting in a larger force. Conversely, when the distance increases, the denominator becomes larger, resulting in a smaller force.

It is important to note that the mass of an object does not directly affect the strength of the gravitational force between two objects. However, a higher mass will lead to a greater gravitational force when compared to a lower mass, but only because the force is being exerted on a more massive object. The mass of an individual object doesn't directly affect the gravitational force it experiences from another object. option B

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Metallic bonds are responsible for many properties of metals, such as conductivity. Why is this possible? (1 point)
Metals have low electronegativity, so they are conductive because they pass charges easily.
An attraction between a positive charge and a negative charge is created.
O The bonds can shift because valence electrons are held loosely and move freely.
OTwo metals bonded together are going to be more conductive than a metal bonded with a nonmetal.

Answers

Answer:

The bonds can shift because valence electrons are held loosely and more freely

Explanation:

Please give brainliest if you can,have a good day<3 :)

Answer:

The bonds can shift because valence electrons are held loosely and move freely.

Explanation: got it right

Mustang Sally just finished restoring her 1965 Ford Mustang car. To save money, she did not get a new battery. When she tries to start the car, she discovers that the battery is dead (an insufficient or zero voltage difference across the battery terminals) and so she will need a jump start. Here is how she accomplishes the jump start:

Answers

Explanation:

To jump start she needs

1. Jumper cables

2. Power source/jump box/ portable batteries.

The positive end of the jump cable will be connected to terminal of the car battery and the jump box, likewise the negative terminal to complete the circuit for a successful jump start to be accomplished

3. A 0.30 kg object is attached to a spring which is compressed 0.80 m by a force of 80.0 N. It hits a 0.20 kg object in a perfectly inelastic collision causing the objects to fly off of the 10.5 m high platform. a)Find the k value of the spring. b)Find the elastic potential energy in the spring. c)Calculate the final speed of the objects​

Answers

Answer:24

Explanation:u just get good sum idek

A kangaroo moves with a constant speed of 90 km/h for 20 m on a straight road. Calculate the distance traveled in this period of time​

Answers

We first apply the data to the problem.

Data:

V = 90km/hT = 20minD = ?

Now, we convert the minutes to hours.

Conversion:

T = 20 min • (1 hr / 60 min)T = 1/3 hr

Then, we apply the formula that is.

Formula:

D = V • T

Finally we develop the problem.

Developing:

D = (90km/h) • (1/3h)D = 30km

The distance traveled by the kangaroo is 30 kilometers.

According to the video, what can education and training workers expect from their careers? Check all that apply

Answers

The film claims that the goals of jobs in education and training include inspiring others, influencing people's lives, and working alone without much interaction.

Who are known as workers?

A worker provides services to others and is compensated with money, gifts, or other rewards. Consequently, we may state that a person is considered a worker if they are involved in a production activity or are self-employed and contribute to the creation of GDP. one who specialises in manual or industrial labour, or who works with a certain substance. a manufacturing employee. frequently used in conjunction. a someone from the working class

What is the importance of workers?

In a nutshell, the team of employees who are healthy, knowledgeable, disciplined, motivated, safe, alert, honest, and industrious form the foundation of the business. They also contribute to its success and expansion. Employees are crucial because, among other things, they fulfil your objective and have sway over your customers. They complete your assignment. The fact that employees are directly accountable for completing your objective is one of the main reasons why they are crucial to an organization's success.

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Other Questions
Under Stalin, the Soviet Union and Soviet satellite statesA.emphasized heavy industry.B.allowed greater political freedom.C.witnessed a boom in consumer goods.D.ended the collectivization of agriculture. 2. Joseph Spell was accused of r aping a woman. If he were accused of r ape in todays society, would he receive a fair trial? Why or why not. On January 22 in 1943, the town of Spearfish, South Dakota, set the record for the world's fastest temperature change. At 7:30 a.m., the temperature was -4F. By 7:32 a.m., the temperature was 45 F. By 9:00 a.m. the same day, the temperature was 54 F. By 9:27 a.m., the temperature was -4 F. What is the difference between the temperature at 7:30 and the temperature at 9:27? y/5+7=9 solve the problem by using addition or subtraction and multiply and divide we often find that unconfined compression tests produce unreasonably low estimates of shear strength. why? A light bulb's brightness is reduced when placed behind a screen. The amount of visible light produced by the light bulb decreases by 25% with each additional layer that is added to the screen. With no screen, the light bulb produces 750 lumens. The lumen is a unit for measuring the total quantity of visible light emitted by a source.Select the correct equation that can be used to represent the lumens, L, after x screen layers are added.A. L = 750(1.25)xB. L = 750(0.75)xC. L = 750(0.975)xD. L = 750(0.25)x Consider a surface at a uniform temperature of 1000 K. Determine the maximum rate of thermal radiation that can be emitted by this surface, in W/m2. Which of the following statements best explains the cause of this decree?Enclosure had forced farmers to emigrate to new areas in search of work.Feudal governments were becoming too large and difficult to manage effectively.Governments and economies were decentralized, affecting labor availability in some areas.Kings needed to ensure that laborers produced an adequate food supply in case of foreign attack. Correctly identify whether each of the following characteristics of employees, tasks, or organizations is a substitute for leadership or a leadership neutralizer. Characteristic Substitute Neutralizer Formalized roles and procedures ___ ___Manager with low position power ___ ___Intrinsically satisfying work ___ ___Dispersed subordinate worksites ___ ___ The time required for an automotive center to complete an oil change service on an automobile approximately follows anormal distribution, with a mean of 17 minutes and a standard deviation of 3 minutes.(a) The automotive center guarantees customers that the service will take no longer than 20 minutes. If it doestake longer, the customer will receive the service for half-price. What percent of customers receive the servicefor half-price?(b) If the automotive center does not want to give the discount to more than 7% of its customers, how long should itmake the guaranteed time limit?Click here to view the standard normal distribution table (page 1).Click here to view the standard normal distribution table (page 2).(a) The percent of customers that receive the service for half-price is(Round to two decimal places as needed.)%. pls help with all the questions ill mark u brainlist Match the word with its description. Match the items in the left column to the items in the right column. 1 . Rush-Bagot Treaty ground permanently frozen 2 . permafrost a type of deer found in the Canadian wilderness 3 . Treaty of Washington limited the number of naval vessels on the Great Lakes 4 . Sir John A. Macdonald noted missionary and explorer 5 . Quebec Act of 1774 first prime minister of Canada 6 . caribou settled many problems between Great Britain and the United States 7 . Giovanni da Verrazano Italian explorer who sailed under the direction of the king of France 8 . the Mohawks deadly enemies of the Huron 9 . filibustering raid unauthorized invasion by private individuals10 . Father Marquette Quebec and Ontario11 . United Province of Canada restored rights to French Canadians pls help Increasing returns and imperfect competition: Suppose a new piece of computer software say a word processor with perfect speech recognition can be created for a onetime cost of $100 million. Suppose that once its created, copies of the software can be distributed at a cost of $1 each.(a) If Y denotes the number of copies of the computer program produced and X denotes the amount spent on production, what is the production function; that is, the relation between Y and X?(b) M ake a graph of this production function. Does it exhibit increasing returns? Why or why not?(c) Suppose the rm charges a price equal to marginal cost ($1) and sells a million copies of the software. What are its prots?(d) Suppose the rm charges a price of $20. How many copies does it have to sell in order to break even? What if the price is $100 per copy?(e) Why does the scale of the market the number of copies the rm could sell matter? Solve for X. Answer must be a whole number, meaning no fractions or decimals. Brainliest to best answer!!4 - 5/2 (1/10x) = 1Do your best, do not enter an answer if it is not related to the question, please and thank you! tell whether (-1,-4) is a solution of -2x-y>6 Job Skills Challenge Card #2 Cryptogram someone could help me???? what are the functions of a cyclin during the cell cycle ? 1. activate a cdk 2. direct a cdk to its targets. 3. inhibit a cdk. 4. control cdk activity through phosphorylation of the cyclin. 5. control cdk activity through synthesis and destruction of the cyclin. what finding indicates that performing passive range-of-motion (rom) exercises on an unconscious client has been successful? Given m||n, find the value of x.t(x-3)m(8x+3) Solve for x 608-4x pls