How much work is done by a person who used a force of 27.5N to move a grocery cart 12.3

How Much Work Is Done By A Person Who Used A Force Of 27.5N To Move A Grocery Cart 12.3

Answers

Answer 1

Answer:

workdone = force x displacement

= 27.5 x 12.3

= 338.25 J


Related Questions

a solenoid 24.0 cm long and with a cross-sectional area of 0.540 cm2 contains 460 turns of wire and carries a current of 90 A. Calculate: (a) the magnetic field in the solenoid; (b) the energy density in the magnetic field if the solenoid is filled with air; (c) the total energy contained in the coil’s magnetic field (assume the field is uniform); (d) the inductance of the solenoid

Answers

(a) The magnetic field in the solenoid is 0.048 T. (b) The energy density is 1.38 × 10⁻⁶ J/m³. (c) The total energy in the coil's magnetic field is 0.167 J. (d) The inductance of the solenoid is 1.63 × 10⁻⁴ H.

(a) The magnetic field in the solenoid can be calculated using the formula: Magnetic field in the solenoid, B = μ₀NI/l

l is the length of the solenoid,

A is the area of the cross-section of the solenoid,

N is the number of turns of the solenoid wire,

I is the current flowing through the solenoid

Substituting the given values, we get:

B = (4π×10⁻⁷ T m/A)(460 turns)(90 A)/(0.24 m)

B = 0.048 T

(b) The energy density in the magnetic field if the solenoid is filled with air can be calculated using the formula:

Energy density in the magnetic field, u = ½μ₀B²

u is the energy density in the magnetic field

B is the magnetic field of the solenoid

Substituting the given values, we get

u = ½ (4π×10⁻⁷ T m/A) (0.048 T)²

u = 1.38 × 10⁻⁶ J/m³

(c) The total energy contained in the coil's magnetic field (assuming that the field is uniform) can be calculated using the formula:

Total energy contained in the coil's magnetic field, U = ½L I²

L is the inductance of the solenoid,

I is the current flowing through the solenoid

Substituting the given values, we get

U = ½(μ₀n²A l) I²

U = ½(4π×10⁻⁷ T m/A) (460 turns)² (0.540 cm²) (0.24 m) (90 A)²U = 0.167 J

(d) The inductance of the solenoid can be calculated using the formula:

Inductance of the solenoid, L = μ₀n²A l / L

μ₀ is the permeability of free space

N is the number of turns of the solenoid wire

I is the current flowing through the solenoid

Substituting the given values, we get

L = (4π×10⁻⁷ T m/A) (460 turns)² (0.540 cm²) (0.24 m) / (0.24 m)L = 1.63 × 10⁻⁴ H

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diamond shine brightly but the pieces of glass don't​

Answers

Answer:

thatss deeeeepppp

Explanation:

xjdjdjfjd

A box exerts a force of 420 N on a floor. If the square box measures 0.5 m on each side, how much pressure does it place on the floor?

Answers

A box exerts a force of 420 N on a floor. If the square box measures 0.5 m on each side. Pressure does it place on the floor is 1680 N/m².

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Pressure is force per unit area so,

pressure = 420/.25

pressure = 1680 N/m²

A box exerts a force of 420 N on a floor. If the square box measures 0.5 m on each side. Pressure does it place on the floor is 1680 N/m².

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A positive charge enters a uniform magnetic field as shown. What is the direction of the magnetic force? a) out of the page b) into the page c) downward d) to the right e) to the left

Answers

The direction of the magnetic force on the positive charge is to the right. Therefore, the correct answer is (d) to the right.

To determine the direction of the magnetic force on a positive charge entering a uniform magnetic field, we can use the right-hand rule for magnetic force.

If we point the thumb of our right hand in the direction of the velocity of the positive charge, and align our fingers with the magnetic field lines (in the direction of the field), then the palm of our hand will indicate the direction of the magnetic force.

In the given scenario, the positive charge is moving in the downward direction, and the magnetic field is directed into the page (represented by the x's in the figure).

Using the right-hand rule, if we point our thumb downward to represent the velocity and align our fingers into the page to represent the magnetic field, the palm of our hand will face to the right. Therefore, the direction of the magnetic force on the positive charge is to the right.

Therefore, the correct answer is d) to the right.

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From rest, a car accelerates to 4.2 m/s2 for 10 seconds before winning the race. How far did it run?

Write the final answer in complete sentence.

Answers

Answer:

\( s = ut + \frac{1}{2} a {t}^{2} \\ u = 0 \\ a = 4.2 \: m {sec}^{ - 2} \\ t = 10sec \\ s = 0 + \frac{1}{2} (4.2) {10}^{2} \\ = 1.2 \times 100 \\\boxed{ s = 120 \: m}\)

HELP PLEASE! DUE TONIGHT! If the wind speed in the top figure increased, what would happen to the plane’s ground speed?

HELP PLEASE! DUE TONIGHT! If the wind speed in the top figure increased, what would happen to the planes

Answers

Answer: Flying into the wind provides more lift, but reduces the plane's “ground speed”, the speed of the plane relative to the ground hope this helps

In the periodic table of elements, what do all of the elements in group 2 have in common?
A.
An atom of each element can hold up to eight electrons in its outer energy level.
B.
An atom of each element can hold up to six electrons in its outer energy level.
C.
Each element is an alkaline earth metal.
D.
Each element is a halogen.
E.
Each element is dull, brittle, and breaks easily.

In the periodic table of elements, what do all of the elements in group 2 have in common? A. An atom

Answers

Each element in group 2 of the periodic table is option c.Each element is an alkaline earth metal.

Group 2 elements, also known as the alkaline earth metals, include beryllium (Be), magnesium (Mg), calcium (Ca), strontium (Sr), barium (Ba), and radium (Ra). These elements share common properties such as having two valence electrons, being relatively reactive, and having similar chemical behavior.

They are shiny, silvery-white metals that are less reactive than the elements in group 1 (alkali metals) but more reactive than most other elements. They are typically found in nature as compounds rather than in their pure elemental form.

Option A is incorrect because group 2 elements have two valence electrons, not eight, in their outer energy level. Option B is incorrect for the same reason, as group 2 elements have two valence electrons, not six.

Option D is incorrect because halogens belong to group 17, not group 2. Option E is incorrect because the physical properties described (dull, brittle, and breaks easily) do not apply to group 2 elements, but rather to some other groups of elements.The correct answer is c.

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Can someone please help me with this

Can someone please help me with this

Answers

Answer:

i dont know about this

Explanation:

what is the difference about the modern times and ice ages

Answers

Answer:

The average temperature is much warmer

Explanation:

A moon orbits a planet in a nearly circular orbit of radius r, as shown in the figure. question the moon has a mass of 1×1022 kg, and the gravitational field strength at a distance r from the planet is 0.001 n/kg. what is the gravitational force exerted on the moon while it is in orbit around the planet?

Answers

The gravitational force exerted on the moon while it is in orbit around the planet is 1 × 10¹⁹ N.

What is gravitational field strength?

Gravitational Field Strength is defined as the gravitational force per unit mass experienced by a point mass at a certain point.  It is  a vector quantity having SI unit Newton/kg.

Mass of the moon: M = 1 ×10²² kg.

The gravitational field strength at a distance r from the planet is: E= 0.001 N/kg.

Hence, gravitational force acting on the moon: F = mE

= 1 ×10²² × 0.001 N

= 1 × 10¹⁹ N.

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2.
A truck begins with a velocity of 20. meters per second
east and changes its velocity to 5.0 meters per second
east in 10.0 seconds.
Determine the truck's rate of acceleration.

Answers

Explanation:

V=u+at

a=v-u) /t

A=5-20)10

a=15/10

a=1.5ms^2

If a truck begins with a velocity of 20. meters per second east and changes its velocity to 5.0 meters per second east in 10.0 seconds, then the truck's rate of acceleration would be  1.5 meters / second².

What is acceleration?

The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².

As given in the problem If a truck begins with a velocity of 20. meters per second east and changes its velocity to 5.0 meters per second east in 10.0 seconds,

The initial velocity of the truck = 20. meters per second

The final velocity of the truck =  5.0 meters per second

Time period = 10.0 seconds

By using the first equation of the motion,

v = u + at

5= 20+ 10a

a = 20-5/-10

a = -1.5 meters / second²

Thus, the acceleration of the truck would be -1.5 meters / second².

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A system which undergoes an adiabatic change (i.e., q = 0 which means no change in the system's heat energy) and does work on the surroundings has a. w> 0. AE <0 b. W<< 0, AE <0 c. W<0, AE = 0 d. W>0. AE > 0 e. W<0. AE > 0

Answers

A system which undergoes an adiabatic change. The work done and the change in the internal energy are: W>0,  AE > 0 (option d)

Adiabatic process is a thermodynamic process in which no heat goes into or out of a system and all internal energy is changed by work.

Adiabatic operations are frequently carried out in an insulated container, where the process occurs too quickly for heat to be transferred. Because heat transfers due to a temperature difference between a system and its surroundings, an adiabatic process can occur even when the system is in thermal equilibrium.

The first law of thermodynamics is:

ΔU = Q + W

Where:

ΔU = change in internal energy

Q = heat transfer

W = work done

In the given problem, the internal energy is represented by AE, hence, we can write:

AE = Q + W

Since there is no change in heat energy, Q = 0, therefore,

AE = W

The work done in an adiabatic process is positive. Therefore, the correct answer is W>0,  AE > 0 (option d)

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an electron is moving at a speed of 0.81c. by how much must its kinetic energy increase to raise its speed to 0.91c?

Answers

The increase in kinetic energy required to raise the speed of the electron from 0.81c to 0.91c is 0.023 joules

How to calculate?

The kinetic energy of a particle can be found using the equation:

K = (gamma - 1) * m_0 * c^2

where K is the kinetic energy,

m_0 is the rest mass of the particle,

c is the speed of light, and

gamma is the Lorentz factor given by:

gamma = 1 / √(1 - (v/c)^2)

We have that the initial speed of the electron is v1 = 0.81c,

we can find the initial kinetic energy:

K1 = (gamma1 - 1) * m_0 * c^2

gamma1 = 1 / √t(1 - (v1/c)^2)

K1 = (gamma1 - 1) * m_0 * c^2

K1 = (1 / √(1 - (0.81)^2) - 1) * m_0 * c^2

Hence we find the final speed v2 = 0.91c,

the final kinetic energy K2 = (gamma2 - 1) * m_0 * c^2

gamma2 = 1 / √(1 - (v2/c)^2)

K2 = (gamma2 - 1) * m_0 * c^2

K2 = (1 / √(1 - (0.91)^2) - 1) * m_0 * c^2

In conclusion, we subtract the initial kinetic energy from the final kinetic energy to find the increase in kinetic energy:

dK = K2 - K1

dK = (1 / √t(1 - (0.91)^2) - 1) * m_0 * c^2 - (1 / √t(1 - (0.81)^2) - 1) * m_0 * c^2

dK = 0.023 joules

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Two duck hunters are seated back-to-back in a boat. How large is the zone-of-fire for each hunter?

180 degrees


135 degrees


90 degrees


45 degrees

Answers

Answer:

180 because it's half of a full rotation before they shoot the other person.

All of the matter present at the beginning of a chemical reaction will still be present at the end of a chemical reaction, although possibly in a different form or substance. This is because of the...

A. Law of conversation of energy
B. Law Of Universal Gravitation
C. Law Of Conversation Of Mass
D. Ohms Law

Answers

Answer:

C. Law Of Conservation Of Mass

Explanation:

In this scenario, this would occur due and is explained by the Law of Conservation of Mass. This law basically states that the mass that exists during and after a chemical reaction must remain the same, assuming that the reaction is taking place in a closed environment where no loss of mass is occurring. This means that if the reaction is in a closed environment the mass should not change whatsoever even if it is not in the same form or substance as it was before the reaction occurred.

If q1 is increased to twice its original value and the distance between the charges is also doubled, what is the new force acting between the charges in terms of F?

Answers

The new force acting between the charges in terms of F is k * \(\frac{q1^{2}q2^{} }{2d^{2} }\)

Meaning of Force

Force can be defined as the an agent that orchestrate a pull or push between two subject matter.

Force is very important to every physicist and the study of physics and it has been defined by different means and different scientist

In conclusion, The new force acting between the charges in terms of F is k * \(\frac{q1^{2}q2^{} }{2d^{2} }\)

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NEED HELP!!! IF YOU ANSWER ALL QUESTIONS I WILL GIVE YOU BRAINEST!!!!! 15 POINTS!!!!

1. Tracking your exercise can help you stick with an exercise routine.
A.
True
B.
False

2. Lola is trying to be healthier, so she has been doing a lot of weight lifting. She can tell that she is really starting to build more muscle. If she is working her muscles, does she need to be concerned about flexibility?
A.
No, any kind of muscle work gets the job done.
B.
Yes, it is best to do as many different kinds of exercise as possible.
C.
Yes, flexibility is a different and important way of working muscle.
D.
No, most people are naturally flexible without much additional work.

3. Many sports that do not explicitly depend on strength work weightlifting into their practices. Why is this a good idea?
A.
Weightlifting is a traditional form of exercise.
B.
Building muscle strength helps with all aspects of fitness.
C.
There are very few ways to build muscles other than weightlifting.
D.
Sports can change their rules and require more strength from athletes.

4. Marina comes from a family with a lot of heart disease. She knows that she will have to go out of her way to make sure that her heart stays strong and healthy. What would be the BEST exercise to achieve this goal?
A.
yoga
B.
bowling
C.
swimming
D.
weightlifting

PLEASE NO LINKS!!!

Answers

Answer:

1.A

2.C

3.B

4. i.dk about that one

Explanation:

1. It is true that Tracking your exercise can help you stick with an exercise routine.

2. Yes, it is best to do as many different kinds of exercise as possible.

3. Building muscle strength helps with all aspects of fitness

4. Yoga would be the best exercise to achieve this goal.

What is exercise?

Exercise is any activity that utilizes the physical movements of the body that improves a people's health, endurance, and wellbeing while lowering their chance of contracting illnesses. It enables the person to keep their body weight in a healthy weight range.

The benefits of fitness fluctuate depending on the sort of dying a person experiences. Even if a muscle is stretched, excessive sitting can cause a number of illnesses, many of which are fatal. The individual should engage in mobility activities as well as exercising to improve their stamina.

Thus, exercise is very necessary for health.

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three letters (JET) are placed in front of a plane mirror the image formed is in what arrangement???​

Answers

Answer:

TEJ as this is a thing you wont get

I need help asappp!!! Help b trcrcrhhvvcc

I need help asappp!!! Help b trcrcrhhvvcc

Answers

Answer:

the answer is c. hope this help you out

A positive test charge of 5.0x10 -6 C is in an electric field that exerts a force of 2.0x10 -4 N on it. What is the magnitude of the electric field at the location of the test charge

Answers

answer:

click on the picture, hope it helps

A positive test charge of 5.0x10 -6 C is in an electric field that exerts a force of 2.0x10 -4 N on it.

The magnitude of the electric field at that location is is 40  N.C⁻¹.

What is electric field?

The force per unit charge exerted on a positive test charge that is at rest at a given position is the force per unit charge that is used to define the electric field analytically.

Electric charge or magnetic fields with variable amplitudes can produce an electric field.

Given parameters:

Charge of the positive test charge, q =  5.0x10⁻⁶ C.

Electric force exerted by the electric field, F = 2.0x10⁻⁴ N.

Then, electric field at the position, E = F/q

= 2.0x10⁻⁴ / 5.0x10⁻⁶ N.C⁻¹.

= 40  N.C⁻¹.

Hence,  the magnitude of the electric field at the location of the test charge is 40  N.C⁻¹.

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Boxes of various masses are on a friction-free, level table. Rank each of the following from greatest to least. a)net forces on the boxes. b)Accelerations of the boxes

A. 5N<5kg>10N
B. 10N<10kg>15N
C. 10N<5kg>15N
D. 5N<20kg>15 N

Answers

Answer:

A) D, ABC

B)AC, DB

is the correct answer

For the accelerations, we need to compare the forces applied to each box.

A) 10N<5kg>5N<10N
B) 15N<10kg>10N
C) 15N<5kg>10N
D) 20kg>15N<5N

The net force on the boxes is equal to the mass of the box multiplied by its acceleration. Since the table is friction-free, there is no force opposing the motion of the boxes.
Therefore, the box with the greatest mass will have the greatest net force acting on it, as F = ma. The boxes with the greater forces applied to them will have greater accelerations.


To rank the options from greatest to least net force, we simply need to compare the masses of the boxes. For the accelerations, we need to compare the forces applied to each box.

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If you could change one rule in soccer, what would it be and why?

Answers

I wouldn’t change anything, it’s perfect

How much work is required to lift a 35-kg object from the ground 3.0-m into the air?
Also; How much Gravitational Potential Energy did the object gain?

Answers

The amount of work required to lift the object is 1029 J. And the amount of potential energy gained by the object is 1029 J.

What is work?

Work can be defined as the product of force and distance. The s.i unit of work is Joules (J).

To calculate the amount of work required to lift the object, we use the formula below.

Formula:

W = mgh........... Equation 1

Where:

P.E = work required to lift the objectm = mass of the objecth = height of the objectg = acceleration due to gravity

From the question,

Given:

m = 35 kgh = 3 mg = 9.8 m/s²

Substitute these values into equation 1

W = 35×3×9.8W = 1029 J.

The amount of gravitational potential energy gained by the object is the same s the amount of work required to lift the object

Therefore,

P.E = W = 1029 J

Hence, The amount of work required to lift the object is 1029 J. And the amount of potential energy gained by the object is 1029 J.

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Marcus plucks at an outstretched coil and observes the following wave motion. what is the motion of the particles in this kind of wave? a hand holds the left end of a set of waves. the wave has longer and shorter spaces between successive waves as it spreads to the right. a label wave motion is above the series of waves and an arrow next to the label points right. the particles will move up and down over large areas. the particles will move up and down over small areas. the particles will move side to side over small areas. the particles will move side to side over large areas.

Answers

The motion of the particles in this kind of wave will be option C that is The particles will move side to side over small areas.

What is a wave?

A wave can be described as a disturbance that travels through a medium from one location to another location.

When Marcus plucks an outstretched coil, the coli sets into wave like motion that is oscillates to and fro. The particles of the medium do not move along the wave but just vibrate sideways about a fixed position.

The particles would move side to side over very small areas. Such type of wave is known as a mechanical wave. A Sound wave is a mechanical wave.

The particles vibrate in the direction of the motion of the wave. The wave carries forward the energy.

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Answer:

C is the correct answer. :)

Explanation:

A) What does the term greenhouse effect mean in relation to the Earth's climate?
b) How does atmospheric water vapor affect the climate? (

c) The atmosphere naturally contains carbon dioxide. Human activity produces carbon dioxide, for example, when carbon-based fuels are used. What is the reason that the increased concentration of carbon dioxide in the atmosphere changes the climate?

d) In climate change, the average temperature is predicted to rise, especially in the polar regions. How can the melting of continental glaciers and sea ice in polar regions accelerate the rise in temperature?

Answers

a) The greenhouse effect refers to the process by which certain gases in the Earth's atmosphere trap and re-emit heat from the sun, leading to a warming effect on the planet's surface.

These gases, including carbon dioxide, water vapor, methane, and others, act like a blanket around the Earth, absorbing and trapping the sun's radiation and preventing it from escaping into space.

b) Atmospheric water vapor is a key component of the Earth's climate system, as it plays a crucial role in the greenhouse effect. As water vapor absorbs and re-emits radiation from the sun, it helps to trap heat in the atmosphere and keep the planet warm.

However, the amount of water vapor in the atmosphere is strongly influenced by temperature and other factors, which can in turn affect climate patterns and weather events.

c) The increased concentration of carbon dioxide in the atmosphere changes the climate because it enhances the greenhouse effect. Carbon dioxide is a particularly potent greenhouse gas, as it absorbs and re-emits radiation across a range of wavelengths, effectively trapping more heat in the atmosphere. As humans burn fossil fuels and engage in other activities that release carbon dioxide into the air, the concentration of this gas increases, leading to a buildup of heat-trapping gases and a corresponding increase in global temperatures.

d) The melting of continental glaciers and sea ice in polar regions can accelerate the rise in temperature through a process known as positive feedback. As the ice melts, it exposes more land and water, which in turn absorb more solar radiation and heat up. This leads to further melting, which exposes even more land and water, and so on.

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What are the groups in Mendeleev's table?

Answers

Answer:  metals, non metals and semi metals

Explanation:

metals, non metals
Hope that helped !!

a bicycle racer sprints at the end of a race to clinch a victory. the racer has an initial velocity of 11.5 m/s when he was 300 m away from the finish line. he accelerates at the rate of 0.500 m/s/s for 7.00 s; and then the racer continues at the final velocity to the finish line. (a) what is his final velocity?

Answers

As a result, the racer's final velocity is 13.00 m/s after accelerating at 0.500 m/s2 for 7.00 s.

What is velocity?

Velocity is a vector representation of an object's or particle's displacement with respect to time. The meter per second (m/s) is the standard unit of velocity magnitude (also known as speed). Alternatively, velocity magnitude can be expressed in centimeters per second (cm/s). The direction of movement of the body or item is defined by velocity. Speed is fundamentally a scalar number. Velocity is, in essence, a vector quantity. It is the pace at which distance changes. It is the displacement rate of change.

Here,

The final velocity can be found using the equation of motion,

vf = vi + at,

where vf is the final velocity, vi is the initial velocity (11.5 m/s), a is the acceleration (0.500 m/s^2), and t is the time for which the acceleration was applied (7.00 s).

Substituting the values we get,

vf = 11.5 + 0.500 * 7.00 = 13.00 m/s.

So, the racer's final velocity is 13.00 m/s as he accelerates at the rate of 0.500 m/s2 for 7.00 s.

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an ocean wave has a wavelength of 3 meters and a frequency of 0.5 Hz. What is
the speed of the wave?

Answers

Answer:

1.5 m\s Ans ......

Explanation:

Data:

f = 0.5 Hz

w = 3 m

v = ?

Formula:

v = fw

Solution:

v = (0.5)(3)

v = 1.5 m\ s Ans ........

Pllzzzz help I will mark u as a brainliest

Pllzzzz help I will mark u as a brainliest

Answers

Answer:

You dont need BRAINLY there is an app called slader where you scan the textbook barcode and it shows you the answers for the question in the textbook.

Explanation:

the definition of Force

Answers

Answer:

A force is a push or pull upon an object resulting from the object's interaction with another object.

Explanation:

Answer:  force is a push or pull upon an object resulting from the object's interaction with another object.

Explanation: Hope this helps and it also on googIe

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John Deere became famous for what? a loan that will be used for personal, family, or household purposes and is secured by a mortgage, deed of trust, or equivalent instrument to residential real property is called a(n) . which of the following statements best describes the long-term effect that the migration depicted in the table had on american politics? choose 1 answer: choose 1 answer: (choice a) the sunbelt emerged as a significant political force, holding a majority of electoral votes. a the sunbelt emerged as a significant political force, holding a majority of electoral votes. (choice b) the northeast held the majority of seats in the house of representatives. b the northeast held the majority of seats in the house of representatives. (choice c) the north central states became key battleground states in presidential elections. c the north central states became key battleground states in presidential elections. (choice d) the west lost a significant amount of political capital as the population decreased. d the west lost a significant amount of political capital as the population decreased. can someone make up a paragraph about a energy drink pls just say how it helps and whats it for i have to create my drink when the editor uses one image to push another image off the screen How did constitutional government evolve in England in the 1700s? if the sum of the first n terms of the series 4+7+10+..... is 209, find n The ____ may need to describe certain inspection techniques, testing procedures, or specific testing equipment or facilities that must be used.a. statement of workb. customer requirementc. deliverablesd. acceptance criteria In the situation described in Part I, what is the current I through the 21.0-ohm resistor? Express your answer in amperes. Use two significant figures. I 0.50 A Question 81 ptsUpon termination of service, for which type of qualified plan may the employee may choose any of the following distribution methods: lump sum distribution rollover plan assets to IRA or other qualified plan, orpurchase annuityO Simple IRAO Defined-benefit pensionO Cash balance pension planO Profit sharing planO Money purchase planQuestion 91 ptsDonna turned 73 on January 7th in 2022. Her profit-sharing account balance was $100,000 at the end of Year 2021. What is the RMD that she needs to take in 2022 to avoid an excise tax?O $3,774O $1,576O $2,036O $4,048 According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 41% of college students nationwide engage in "binge drinking" behavior, having 5 or more drinks in one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is lower than the national proportion. In a commissioned study, 462 students are selected randomly from a list of all students enrolled at the college. Of these, 162 admitted to having engaged in binge drinking. Based on the results of the test, a 95% confidence interval for the proportion of all students at this college that engage in binge drinking is: (Note: z-critical value = 1.96)a. 0.308 to 0.394.b. 0.318 to 0.384.c. 0.321 to 0.381.d. 0.325 to 0.377. All the nerve bundles of the body are routed through the:A) CraniumB) StomachC) Spinal Cord 1.Which TWO statements should be included in an objective summary of the article?AEmmett Till's murder was only reported in Black media outlets.BEmmett Till's murder stunned Americans because lynching was so unusual.CEmmett Till's murder revealed that all white Americans supported the murderers.DEmmett Till's murder inspired many Americans to fight against racism and injustice.EEmmett Till's murder illustrated the danger that Black Americans lived with every day.FEmmett Till's murder prompted Mississippi to make its justice system fairer towards all. XYFormula of the Line How does Dare's contention that Anthony's friends "are not in the 'smart set but... are big names in the big, big world" (Paragraph 68) affect the reader's impression of Anthony? ill give you brainlist please help The traits common to modern Homo sapiens appearedgradually over time and out of sync with each other. This is callaGroup of answer choiceskaleidoscopemosaiccollagepastiche (9k+6)(4k+5) solve for k