Choose the correct procedure for determiningthe components of a vector in a given coordinate system from thefollowing list.
Align theadjacent side of a right triangle with the vector and thehypotenuse along a coordinate direction withthetaas the included angle.
Align thehypotenuse of a right triangle with the vector and an adjacent sidealong a coordinate direction withthetaas the included angle.
Align theopposite side of a right triangle with the vector and thehypotenuse along a coordinate direction withthetaas the included angle.
Align thehypotenuse of a right triangle with the vector and the oppositeside along a coordinate direction withthetaas the included angle.

Answers

Answer 1

The correct procedure for determining the components of a vector in a given coordinate system from the given list is as follows:Align the adjacent side of a right triangle with the vector and the hypotenuse along a coordinate direction with theta as the included angle.

This is because it is easier to work with adjacent and hypotenuse when breaking down a vector into its components.A vector is a quantity that has magnitude as well as direction. The magnitude of a vector is a scalar quantity, which means that it has only magnitude and no direction. A vector can be represented using a coordinate system with horizontal and vertical axes.In order to break down a vector into its components in a given coordinate system, we need to draw a right triangle with one side of the triangle aligned with the vector and the hypotenuse along one of the coordinate directions. The angle between the vector and the coordinate direction is denoted by theta.Then, we can use trigonometric functions to determine the components of the vector. The adjacent side of the right triangle corresponds to one of the components, and the opposite side corresponds to the other component. The hypotenuse corresponds to the magnitude of the vector. Therefore, aligning the adjacent side of a right triangle with the vector and the hypotenuse along a coordinate direction with theta as the included angle is the correct procedure for determining the components of a vector in a given coordinate system.

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Related Questions

A circuit with a battery, a 14 Ω resistor, and a 17 Ω resistor, in parallel. The total current is the system is 2.8 A. What is the voltage of the battery?

Answers

Given data:

* The total current in the system is I = 2.8 A.

* The resistance of resistors connected in parallel is,

\(\begin{gathered} R_1=14\text{ ohm} \\ R_2=17\text{ ohm} \end{gathered}\)

Solution:

The equivalent resistance of the system is,

\(\frac{1}{R_{eq}}=\frac{1}{R_1}+\frac{1}{R_2}\)

Substituting the known values,

\(\begin{gathered} \frac{1}{R_{eq}}=\frac{1}{14}+\frac{1}{17} \\ \frac{1}{R_{eq}}=\frac{17+14}{14\times17} \\ R_{eq}=\frac{14\times17}{17+14} \\ R_{eq}=7.68\text{ ohm} \end{gathered}\)

According to Ohm's law, the voltage across the battery in terms of the current and equivalent resistance is,

\(\begin{gathered} V=IR_{eq} \\ V=2.8\times7.68 \\ V=21.5\text{ volts} \end{gathered}\)

Thus, the voltage across the battery is 21.5 volts.

A driver traveling at 39.2 m/s spots a cop are and
hits the break. If he is able to brake for 2.1 seconds
and he accelerates at a rate of -7.6 m/s?, what is
his final speed?

Answers

Answer:

23.24 m/s

Explanation:

2.1 s  *  (-7.6 m/s^2) = -  15.96 m/s   from original speed

39.2 - 15.96 = 23.24 m/s

20 points! 2 sentences is all I need, will give brainliest

20 points! 2 sentences is all I need, will give brainliest

Answers

A battery and fan are included in this electrical circuit, with the chemical energy from the battery being turned into electric energy. This electricity propels the fan, changing it to kinetic energy which causes motion.

As a result, this energy ultimately creates air that is moving.

How to explain the information

From the information, a team of students builds an electrical circuit with a battery and a fan. In 1-2 sentences, describe how energy is changed from one form to another in their electric circuit.

In this case, a battery and fan are included in this electrical circuit, with the chemical energy from the battery being turned into electric energy. This electricity propels the fan, changing it to kinetic energy which causes motion. As a result, this energy ultimately creates air that is moving.

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calculate the de broglie wavelength of a 1.2-kg rock thrown with a speed of 6.0 m/s into a pond. is this wavelength similar to that of the water waves pro- duced? explain.

Answers

The de Broglie wavelength for a particle== 0.92 ×10⁻³⁴m.

de broglie wavelength is the wavelength associated with particle of mass m moving with velocity v.

p= h/ λ

where, p -is  the momentum of the atom;

h- Planck's constant - 6.626×10⁻³⁴ m²kg s⁻¹

λ- wavelength;

Momentum can be expressed as

p=m×v

where , m is  the mass of the particle;

v - the speed of the particle.

so,

λ = h/(m×v)

= ( 6.626×10⁻³⁴ m²kg s⁻¹)/(1.2kg × 6.0 m/s)

= (6.626×10⁻³⁴ m²kg s⁻¹)/7.2

= 0.92 ×10⁻³⁴ m

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What force besides gravity controls the orbit of a planet or moon?

Answers

The gravitational force from the sun controls the orbit of the moon and the planet besides gravity.

Anything in the universe if has mass, then it is tends to have some gravitational interaction with other objects having some mass.

The moon and the planet interact with each other due to the gravity of the planet. Beside this gravity, one more force that is responsible is the gravitational force due to the sun.

The gravitational force of the sun makes the earth rotate around the sun, and it indeed result in the rotation of the moon around the planet.

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What is the angular momentum of a 0.25 kg mass rotating on the end of a piece of
rope in a circle of radius 0.75m at an angular speed of 12.5 rad/s?

Answers

L = r x p = rmv = mr²ω

L = 0.25 x 0.75² x 12.5 = 1.758

Angular momentum of a 0.25 kg mass rotating on the end of a piece of rope in a circle of radius 0.75 m at an angular speed of 12.5 rad/s is 1.758.

What is momentum?

The meaning of MOMENTUM is a property of a moving body that the body has by virtue of its mass and motion and that is equal to the product of the body's mass and velocity. Momentum is a vector quantity.

Angular momentum is momentum in angular motion,

L = r x p = rmv = mr²ω

L = 0.25 x 0.75² x 12.5 = 1.758

Angular momentum of a 0.25 kg mass rotating on the end of a piece of rope in a circle of radius 0.75m at an angular speed of 12.5 rad/s is 1.758.

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Why is it more difficult to push a sofa across a room with carpet than a room with a wood floor?.

Answers

Answer:

because the carpet creates more friction when sliding across which makes it slower while the slickness of the wood makes less friction

A liter of gas has a pressure of 200 kPa. If the gas is put
into 2-L container, what will be its pressure, assuming its
temperature does not change?

Answers

Answer:

100kPa

Explanation:

Given parameters:

Initial volume of gas  = 1L

Pressure  = 200kPa

Final volume  = 2L

Unknown:

Final pressure  =  

Solution:

According to Boyles's law "the volume of fixed mass of gas of a gas varies inversely as the pressure changes if temperature is constant".

  Mathematically;

            P₁V₁  = P₂V₂

P and V are volume and pressure

1 and 2 are initial and final states

  Insert the parameters and solve;

            200 x 1  = P₂ x 2

                 P₂  = 100kPa

give me some like COD and mafia 3 like games please! I want like more gore, guts and glory, So for yall gamers out there, give me yall violent games

Answers

Answer:

any black ops i started playing crysis 3 its good and gta5

Explanation:

Answer:

Mobile Legend Bang Bang

Explanation:

:) :)

Help plz I don’t know it

Help plz I dont know it

Answers

Answer:

2. thermal insulator. 3. convection current. 4. conduction. 5. thermal conductor. 6. radiation.

Explanation:hope this helps you.

9. Show that the equation for the gravitational potential energy E
GMm is dimensionally
R
correct given that the units for the gravitational constant G are N.m².kg2, M and m are masses of
interacting objects and R is their separation distance.
- is dimensionally homogeneous.

9. Show that the equation for the gravitational potential energy EGMm is dimensionallyRcorrect given

Answers

G is the gravitational constant, M is the mass of the gravitating body, and r is the separation between their centers.

What does R stand for in the gravitational potential energy formula?The gravitational potential energy of mass m can be expressed generally as follows: where G is the gravitational constant, M is the mass of the gravitating body, and r is the separation between their centers.G.P.E can also be written as [M1 L0 T0] [M0 L1 T-2] [M0 L1 T0] = [M1 L2 T-2]. As a result, the dimensional representation of gravitational potential energy is [M1 L2 T-2].For potential energy close to the Earth's surface, a negative potential energy is consistent with mgh. The potential energy change for lifting an object h feet above the ground is given by: U = Uf - Ui = -GmM/(R+h) - (-GmM/R). when h is less than R in size.        

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A student collects 25 mL of gas at 96 kPa. What volume would this gas occupy at 101.325 kPa. There is no change in temperature or mass.

Answers

Answer:

The answer is 23.69 mL

Explanation:

The new volume can be found by using the formula

\(P_1V_1 = P_2V_2\)

Since we are finding the new volume

\(V_2 = \frac{P_1V_1}{P_2} \\\)

From the question we have

101.325 kPa = 101325 Pa

96 kPa = 96000 Pa

From the question we have

\(V_2 = \frac{25 \times 96000}{101325} = \frac{2400000}{101325} \\ = 23.68615840...\)

We have the final answer as

23.69 mL

Hope this helps you

Oque ocorre com a velocidade se diminuímos o tempo, mantendo a distância constante? E se aumentarmos o tempo? Que tipo de grandeza sao tempo e velocidade?

Answers

No se
Pero if I did I would help you

A 1.50 kg cart moves in a circular path of 1.30 m radius at a constant speed of 2.00 m/s. (a) Calculate the magnitude of the centripetal acceleration of the cart.
(b) Calculate the magnitude of the centripetal force on the cart.
(c) Calculate the coefficient of friction between the tires and the ground
(d) Describe the direction of the centripetal force.

Answers

Answer:

the answer is 1500 because of the internet

A pile of boxes exerts a force of 500 newtons downward on the floor. The boxes are not in motion. What is the normal force on these boxes?

Answers

Answer:

Weight of the pile of boxes as I think

A resume is usually read for less than ____ seconds by an employer.
a. 10
b. 20
c. 30.
d. 40

Answers

A resume is usually read for less than C. 30 seconds by an employer.

A resume is a document that presents your educational qualifications, experiences, and achievements that have taken place throughout your academic career and professional life. This document is crucial in a job application process, and it plays a key role in determining whether an employer is interested in interviewing you or not. Thus, it is necessary to write a well-written and a concise resume that catches the employer's attention in less than 30 seconds. This is because most employers go through many job applications and they do not have much time to read every resume thoroughly.

Therefore, it is essential to organize and format the resume in such a way that the key information and skills stand out. In addition, it is necessary to customize the resume to fit the job requirements of each job application, this can be done by researching the company and the job position to determine what skills and qualifications the employer is looking for. In conclusion, it is crucial to ensure that the resume is well-written, organized, and customized to fit the employer's requirements. So the correct answer is C. 30.

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What is the process called when a solid changes to a
liquid?

???20 points?ASAP please

Answers

Answer:

melting

Explanation:

Answer:

melting

Explanation:

Melting, change of a solid into a liquid when heat is applied.

The coldest clouds in the ISM are molecular clouds, so named because their temperatures are low enough and their densities high enough for atoms to join together into molecules. These clouds are capable of collapsing to form new stars, in a stellar nursery like the one in the left image. The Pleiades (right image) is an example of stars that formed recently within such a nursery.
Molecular clouds range in mass from a few times the mass of our Sun (solar masses) to 10 million solar masses. Individual stars range from 0.08 to about 150 solar masses.
What does all of this imply about how stars form from molecular clouds?

Answers

Stars form from molecular clouds through a process known as stellar formation.

These clouds, characterized by low temperatures and high densities, provide the ideal conditions for atoms to combine and form molecules. With a mass range spanning from a few solar masses to millions of solar masses, molecular clouds serve as the birthplaces of new stars. The Pleiades cluster serves as a notable example of stars that have recently formed within such a stellar nursery.

The formation of stars from molecular clouds involves several key steps. Firstly, gravitational forces acting on regions of higher density within the cloud cause them to collapse under their own gravity. As the cloud collapses, it begins to fragment into smaller, denser clumps called protostellar cores. These cores continue to collapse, and their central regions become increasingly dense and hot. At this stage, they are known as protostars.

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How do you use a Beam Balance???

Answers

Your answer is in the attachment . Hope this helps.

How do you use a Beam Balance???

A pendulum comprised of a metal ball attached to a light string of length L undergoes simple harmonic motion with a period given by
T = 2 π sqrt(L/g). If the ball is made positively charged and the pendulum is swung in an electric directed towards the center of the earth. Which statement is true?
Not enough information
The period is unchanged
The period decreases
The period increases

Answers

Not enough information is given to determine whether the period would decrease, increase, or remain unchanged.

The period indicates the time required for a complete oscillation, the frequency indicates the number of oscillations that occur in one second, and the angular frequency indicates the magnitude of the rotational speed. 

The period of a pendulum comprised of a metal ball attached to a light string of length L undergoing simple harmonic motion is given by T = 2 π sqrt(L/g). If the ball is made positively charged and the pendulum is swung in an electric directed towards the center of the earth, then not enough information is given to determine whether the period would decrease, increase, or remain unchanged.

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A Ray of light falling on rough surface follows the laws of reflection but no image of the object placed before it is C explain why it is so?​

Answers

Answer:

The light rays falling on a rough surface does follow the laws of reflection. The light rays are incident parallel on the rough surface but due to uneven surface the light rays are not reflected parallel rather they are reflected in different direction. Hence, no image is formed.

Paley's Teleological Argument. Know the premises and conclusion of the argument. Paley claims that a watch is like the universe/world. What attributes does he claim are the same for a watch and the universe/world. How does he use this analogy to attempt to prove that God exists? Be able to explain these objections to Paley's argument: a. There is no evidence that we can tell the world has purpose. b. The universe seems to be more chaotic than ordered. c. A watch is a bad analogy for the universe.

Answers

Paley's argument compares a watch to the universe/world, claiming that both exhibit similar attributes. He uses this analogy to argue for the existence of God.

Paley's Teleological Argument, often referred to as the argument from design, is based on the idea of purposeful design in the universe. The argument consists of the following premises and conclusion:

Premise 1: Watches are complex and exhibit intricate design, with various parts working together to fulfill a specific purpose.

Premise 2: The universe/world also exhibits complexity and intricate design, with various elements and processes working together.

Premise 3: If something exhibits complexity and design, it must have an intelligent designer.

Conclusion: Therefore, the universe/world must have an intelligent designer, which Paley identifies as God.

Paley argues that the attributes shared by a watch and the universe/world, such as complexity, order, and purposeful design, suggest the existence of an intelligent creator. He believes that just as the intricate design of a watch implies the existence of a watchmaker, the complexity and order observed in the universe imply the existence of a cosmic designer, namely God.

However, objections can be raised against Paley's argument:

a. There is no evidence that we can tell the world has a purpose: Critics argue that Paley's argument assumes the existence of purpose in the world without sufficient evidence. They contend that the appearance of design and order could be explained by natural processes rather than the intentional actions of a designer.

b. The universe seems to be more chaotic than ordered: Some objectors argue that the universe appears to exhibit more chaos and randomness rather than the ordered and purposeful design proposed by Paley. They point to natural disasters, genetic mutations, and other seemingly random events as evidence that the universe is not a well-designed system.

c. A watch is a bad analogy for the universe: Critics also challenge Paley's choice of analogy, asserting that a watch is not a suitable comparison for the universe. They argue that the watch is a human-made object with a known designer, whereas the origins and nature of the universe are fundamentally different and require distinct explanations. Furthermore, the watch is a limited and finite object, while the universe is vast and complex, making the analogy insufficient to support the existence of an omnipotent and infinite God.

These objections challenge the validity of Paley's argument by questioning the assumptions, evidence, and analogies he employs to establish a link between the design observed in the universe and the existence of a divine creator.

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PLEASE HELP ME! IM TIMED

 PLEASE HELP ME! IM TIMED

Answers

Answer:

the third one

Explanation:

the 1991 eruption of mt. pinatubo was the scariest in history

Answer:

C

Explanation:

It is based on someone’s experience and how they felt about the accident

can someone pls help me?!!!! i need it asap!! i’m very stressed

can someone pls help me?!!!! i need it asap!! im very stressed

Answers

Answer:

Acceleration

Explanation:

Its speed or velocity change

A stone is dropped from the top of a cliff. It hits the ground below after 3.25 s. How high is the cliff

Answers

The height of the cliff above the ground is 51.76 m.

Height of the cliff

h = vt + ¹/₂gt²

where;

v is initial vertical velocityt is time of motiong is acceleration due to gravity

h = 0 + ¹/₂gt²

h = ¹/₂gt²

h = ¹/₂(9.8)(3.25)²

h = 51.76 m

Thus, the height of the cliff above the ground is 51.76 m.

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a mass m is attached to an ideal massless spring. when this system is set in motion with amplitude a, it has a period t. how does the period of the motion change if the amplitude of the motion is increased to 2a? explain.

Answers

System is set in motion with an amplitude of a and a period of T. If the amplitude of the motion is increased to 2a, the period of the motion changes.

A straightforward harmonic oscillator's period is independent of its amplitude. with the graphs of acceleration and velocity produced by the time derivatives. These oscillators also show how kinetic and potential energy can be transferred.

The acceleration of the mass increases proportionally with the increase in force, causing the mass to travel farther in the same amount of time. Therefore, increasing the amplitude has no overall impact on the oscillation's period.

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1. List a similarity between magnetic force and electrical force.

Answers

Answer:

Both are attractive as well as repulsive.

Explanation:

(Like poles repel, like charges repel; unlike poles attract, unlike charges attract).

There are two types of charges that form electric fields: positive and negative charges. Magnetic fields are formed by charges and are related with two magnetic poles, north and south (but moving charges).

The attraction and repulsion of electric charges produce both electric and magnetic fields.

The force released by magnets when they attract or repel each other is known as magnetism. An electric force is the attracting or repulsive interaction between any two charged things.

Similarities are as follows:

There are two types of charges that form electric fields: positive and negative charges. Magnetic fields are formed by charges and are related with two magnetic poles, north and south (but moving charges).The attraction and repulsion of electric charges produce both electric and magnetic fields.

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If the conduction velocity of a human nerve fiber was 0.5 m/s, how long would it take you to withdraw your foot from a hot object

Answers

To calculate the time it would take to withdraw your foot from a hot object, given the conduction velocity of a human nerve fiber, we need to consider the distance traveled and the conduction velocity of the nerve fiber.

The time taken to withdraw your foot can be determined by dividing the distance traveled by the conduction velocity of the nerve fiber. However, it is important to note that the conduction velocity of a nerve fiber refers to the speed at which the electrical signals travel along the nerve, not necessarily the speed at which you physically move your foot.

Assuming that the conduction velocity of 0.5 m/s represents the speed at which the sensation of pain or discomfort reaches your brain from the nerves in your foot, it may take additional time for your muscles to respond and physically withdraw your foot from the hot object.

Therefore, the time it would take to withdraw your foot from the hot object cannot be determined solely based on the conduction velocity of a nerve fiber. It would depend on various factors, including your reaction time, muscle response, and other physiological factors.

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¿Qué fuerza se deberá aplicar en un embolo pequeño de una prensa hidráulica

de 12 cm de area, para levantar un cuerpo de 70 000 N de peso, que se encuentra en el embolo mayor y cuya área es de 85 cm?

Answers

The force that needs to be applied to the small piston of the hydraulic press to lift a body weighing 70,000 N is approximately 495,833.33 N.

To calculate the force required to lift a body using a hydraulic press, we can use Pascal's principle, which states that the pressure applied to an enclosed fluid is transmitted equally in all directions.

In this case, we have a hydraulic press with a small piston of 12 cm² area and a large piston of 85 cm² area. The weight of the body to be lifted is 70,000 N.

Step 1:

Calculate the pressure on the small piston:
Pressure = Force / Area
Pressure = 70,000 N / 12 cm²

Step 2:

Calculate the force required on the large piston:
Force = Pressure x Area
Force = Pressure x 85 cm²

Let's solve these calculations.

Step 1:
Pressure = 70,000 N / 12 cm²
Pressure = 5,833.33 N/cm²

Step 2:
Force = 5,833.33 N/cm² x 85 cm²
Force = 495,833.33 N

Therefore, the force that needs to be applied to the small piston of the hydraulic press to lift a body weighing 70,000 N is approximately 495,833.33 N.

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Certain radioactive material decays in such a way that the mass remaining after \( t \) years is given by the function \( m(t)=460 e^{-0.03 t} \) where \( m(t) \) is measured in grams. (a) Find the ma

Answers

(a) The mass at time t=0 is 460 grams. (b) Rounding to at least one decimal place, the mass last after 45 years is about 119.0 grams.

(a) To find the mass at time t=0, we alternative into the given characteristic:

m(0) = \(460e^(-0.03(0))\)

Since \(e^0\) is the same for at least one, we've got:

m(0) = 460(1) = 460 grams

Therefore, the mass at time t=0 is 460 grams.

(b) To locate the mass final after 45 years, we substitute t=45 into the given function:

m(45) = \(460e^(-0.03(45))\)

Using a calculator or software program, we will evaluate the expression:

m(45) ≈ \(460e^(-1.35\)) ≈ 460(0.2587) ≈ 118.96 grams

Rounding to at least one decimal location, the mass last after 45 years is about 119.0 grams.

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The correct question is:

"Certain radioactive material decays in such a way that the mass remaining after t years is given by the function m(t)=460e −0.03t where m(t) is measured in grams. (a) Find the mass at time t=0. Your answer is (b) How much of the mass remains after 45 years? Your answer is a Round answer to 1 decimal place."

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Question 8 of 20The Huang He is a major river located inA. MongoliaB. ChinaC. TaiwanD. Hong KongSUOMI i need help give real answers 17. What group of organisms generally have soft bodies protected by hard shells, and include octopuses, clams, oysters, squids, and snails?-crustaceans-shoals-fish-mollusks Ctab, the surfactant used in this experiment does not dissolve in hexane. Why not?. imagine you could dig a tunnel all the way to the center of the earth. what would happen to the gravitational potential energy of a system formed by the earth and some object, as the object approached the center of the earth? Cloudy days tend to have a greater range of temperatures than clear days. True or false? Two forces are applied to a tree stump to pull it out of the ground. Force A has a magnitude of 2410 newtons (N) and points 36.0 south of east, while force B has a magnitude of 4470 N and points due south. Using the component method, find the (a) magnitude and (b) direction of the resultant force A + B that is applied to the stump. Specify the direction as a positive angle with respect to due east. Should the Navajo Nation be considered a nation? Why or why not? Please Solve the equation by factoring: x2+2x15=0 According to rational expectations theory, if the last three years of inflation were 0 percent, 2 percent, and 4 percent, respectively, one would expect inflation the following year to be ________ percent Katrina bought new shoes for $55.00, jeans for $29.99, and a new blouse for $27.79. Sales tax in her area is 7 percent. What was the total charge for her purchases? A grocery store sells a bag of five oranges for $1.60 if Clara spent $0.96 on oranges how many did she buy bride goes before a fall y = 2x + x - 10 .(factor and zero prod) attempts to change a situation simialr to problem-focused coping are known as______. Kant argues that ___________________ is the basis of morality.A) fairnessB) kindnessC) pietyD) freedom What responsibility do you have to the regional, national, or global level (how are they similar and different) Read the following passage from "Every Man a King":We have in America today more wealth, more goods, morefood, more clothing, more houses than we have ever had.We have everything in abundance here.We have the farm problem, my friends, because we havetoo much cotton, because we have too much wheat, andhave too much corn, and too much potatoes.Which phrase is an example of anaphora?A) my friends B) We have C) in abundance D) the farm problem Which agency doe the Department of Interior run? Accounts receivable (net) Inventory Property, plant, and equipment (net) Other assets Total assets Current liabilities Long-term debt (12%) Share capital Contributed surplus Retained earnings Other co