Because the neutron has no charge, its mass must be found in some way other than by using a mass spectrometer. When a neutron and a proton meet (assume both to be almost stationary), they combine and form a deuteron, emitting a gamma ray whose energy is 2.2233 MeV. The masses of the proton and the deuteron are 1.007 276 467 u and 2.013 553 212 u, respectively. Based on this data, what is the mass of the neutron

Answers

Answer 1

Answer:

Explanation:

Energy of gamma ray = 2.2233 MeV

Let mass of neutron be n  amu  

mass defect of deuteron = 2.013553212 - ( 1.007 276 467 + n ) u .

in terms of energy this mass defect will be equal to energy of gamma ray

1 amu = 931 MeV

931 [ 2.013553212 - ( 1.007 276 467 + n ) ] =  2.2233

( 1.007 276 467 + n ) -  2.013553212  = .00238807733

n = 1.008664822 amu

so mass of neutron = 1.008664822 amu


Related Questions

Can someone explain how the weight of the block is 10.26N, with reference to an appropriate law of motion?

Answers

this process is called parellelogram method of resolving vectors.

Is the ultraviolet ray monochromatic or polychromatic?​

Answers

Answ

In real world application Ultraviolet is not a color as it it can’t be seen by the human eye. It is a high frequency part of the Suns electromagnetic radiation. Even though UltraViolet sounds like a color, the Ultra in this case signifies that it is beyond Violet and thus beyond the visible part of the electromagnetic spectrum. They are not depicted with a color on spectrum charts, since we can’t see it we can’t truly classify it as a color no more than can we equate the other parts of the spectrum like XRays, Gamma Rays and Radio Waves with colors. These and other non-visible parts of the spectrum are measured instead with wavelengths. So the answer is no they would not be monochromatic, or any color at all.

Red, Orange, Yellow, Green, Blue, Indigo and Violet are the visible colors of the electromagnetic spectrum. They, combined together are called white light and our atmosphere acts like a prism to divide them into separate and apparently distinct colors. Outside the visible Red you have Infrared which is invisible to the human eye and is the heat we feel from the sun. Outside the Violet end of the visible spectrum is where UVA, UVB and UVC are found, and these are the eye and skin damaging rays. UV rays are also invisible to the human eye (but visible to certain birds of prey such as raptors

Explanation:

what does the area under a distance-time graph signify?

Answers

Explanation:

The area under a displacement vs time graph is the absement.

Select the correct answer. Rita is a registered dietician. What does her work entail? A. prescribing medication for clients B. cooking healthy meals for students C. demonstrating how to use gym equipment D. making recommendations for healthy eating habits

Answers

Answer:

D

Explanation:

The answer is D because:

A) Only doctors are allowed to prescribe medications.

B) Rita is not a chef/cook.

C) Rita is not a personal trainer

D) The job of a dietican is to provide reccomendations to their clients in order for them to implement a healthy lifestyle via consuming what is best for them.

Hope this helps :)

Answer:

D.) Making recommendations for healthy eating habits

Explanation: PLATO :)))

do you think distance and time are relevant terms in describing motion?

Answers

Answer:

yes

Explanation:

because motion is relevant

Answer:

Motion is mathematically defined as displacement, distance, velocity, acceleration, speed, and time. The motion of a body is recognized by adding a frame of reference to an observer and measuring the change in position of the body related to that frame with the change in time.

A missile is moving 1350 m/s at a 25° angle it needs to hit a target 23,500 m away in a 55° direction in 10.2 seconds what is the magnitude of its final velocity

Answers

Answer:

3504 m/s

Explanation:

Let x be the horizontal component of distance

y - vertical component of distance

t-time

ax- horizontal component of acceleration

ay-Vertical component of acceleration

Vx-horizontal component of velocity

Vy-Vertical component of velocity

horizontally: x = V_x ×t + ½×a_x×t²  

plugging the values we get

23500× cos 55º = 1350×cos25.0º × 10.20 + ½×a_x× (10.20)²  

⇒ax = 19.2 m/s²  

Moreover,

V'x = V_x + a_x×t = 1350×cos25.0º + 19.2×10.20= 1419 m/s  

similarly in vertical direction:

y = V_y×t + ½×a_y×t²  

23500×sin55º = 1350×sin25.0º×10.20s + ½×a_y×(10.20)²  

⇒a_y = 258 m/s²  

Also,

V'y = V_y + a_y×t = 1350×sin25.0º + 258×10.20 = 3204 m/s  

Therefore

V = √(V'x² + V'y²) = 3504 m/s  

therefore,  magnitude of final velocity of missile=3504 m/s

THANKS  

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An iron ball at 40°C is dropped in a mug containing water at 40°C.
The heat will
(a) flow from iron ball to water.
(b)
not flow from iron ball to water or from water to iron ball
(c)
flow from water to iron ball
(d) increase the temperature of both
10. A wooden spoon is dipped in a cup of ice cream. Its other end
(a) becomes cold by the process of conduction.
(b) becomes cold by the process of convection
(c) becomes cold by the process of radiation.
(d) does not become cold.​

Answers

Answer:

1. option a

2. option d

Explanation:

HOPE IT HELPS YOU

I need help pls now ​plleeeeeeeeaaassseeeee

Answers

Answer:

[tex]r = \frac{v}{i} = v = ri \\ i = \frac{v}{r} [/tex]

what does grit mean in psychology

Answers

Answer:

The meaning of grit in psychology is a positive, non-cognitive trait based on an individual's perseverance of effort combined with the passion for a particular long-term goal or end state.

Light, heat, electricity, sound are examples of

Answers

Answer: Energy

Explanation: Light, heat, electricity, sound are examples of energy

Light, heat, electricity, and sound are all examples of energy.

A high-voltage powerline operates at 500000 V-rms and carries an rms current of 500 A. If the resistance of the cable is 0.050Ω/km, what is the resistive power loss in 200 km of the powerline?

Answers

Answer:

2,500,000W or 2.5MW

Explanation:

The power lost due to resistance is given by I^2R. We must first obtain R as follows;

Resistance per kilometer= 0.050Ω/km

Distance covered= 200km

R = 200km x 0.050Ω/km = 10Ω

The lost power as a 500A current passes through the powerline is:

P = I²R

P= 500² x 10

P= 2,500,000 W or 2.5MW

The resistive power loss in 200 km of the powerline is of 2.5 MW.

Given data:

The root mean square voltage is, V' = 500000 V.

The magnitude of current through the power line is, I =500 A.

The magnitude of resistance of cable is, R = 0.050 Ω/km.

The length of powerline is, L = 200 km.

Whenever there is a flow of current through the wire, then there are various losses out of which the power loss is a major factor. The mathematical expression for the power loss is given as

P = I²R

Solving as,

P= 500² x 10

P= 2,500,000 W or 2.5MW

Thus, we can conclude that the resistive power loss in 200 km of the powerline is of 2.5 MW.

Learn more about the resistive power loss here:

https://brainly.com/question/15158529

A long, straight, horizontal wire carries a left-to-right current of 40 A. If the wire is placed in a uniform magnetic field of magnitude 3.7 ✕ 10−5 T that is directed vertically downward, what is the resultant magnitude of the magnetic field 22 cm above the wire (in T)?

Answers

Answer:

The magnitude of the resultant of the magnetic field is [tex]4.11\times10^{-5}\ T[/tex]

Explanation:

Given that,

Current = 40 A

Magnetic field [tex]B=3.7\times10^{-5}\ T[/tex]

Distance = 22 cm

We need to calculate the magnetic field

Using formula of magnetic field

[tex]B'=\dfrac{\mu_{0}I}{2\pi r}[/tex]

Where, r = distance

I = current

Put the value into the formula

[tex]B'=\dfrac{4\pi\times10^{-7}\times20}{2\pi\times0.22}[/tex]

[tex]B'=1.8\times10^{-5}\ T[/tex]

We need to calculate the magnitude of the resultant of the magnetic field

Using formula of resultant

[tex]B''=\sqrt{B^2+B'^2}[/tex]

Put the value into the formula

[tex]B''=\sqrt{(3.7\times10^{-5})^2+(1.8\times10^{-5})^2}[/tex]

[tex]B''=4.11\times10^{-5}\ T[/tex]

Hence, The magnitude of the resultant of the magnetic field is [tex]4.11\times10^{-5}\ T[/tex]

PLS HELP ME Define Derived Quantities ?

Answers

Derived Quantities

Explanation: Those physical quantities which are derived from fundamental quantities are called derived quantities and their units are called derived units.  e.g., velocity, acceleration, force, work etc.

Answer:

These are quantities calculated from two or more measurements

Explanation:

They can't me measured directly.

They can only be computed.

They are calculated in PHYSICAL SCIENCE.

hope it helps.

On a frictionless air track, a 0.30 kg glider moving at 0.40m/s to the right collides with a stationary 0.80kg glider moving at 0.15 m/s to the left. The collision is cushioned by a bumper made of perfectly elastic spring steel. a. What is the velocity of each glider after the collision? b. What is the minimum amount of total kinetic energy during the collision? c. Where is the missing energy?

Answers

Answer:

Explanation:

It is the case of perfectly elastic collision . So we shall apply formula of velocity after collision as follows .

Let  m₁ and m₂ be the mass colliding with velocity u₁ and u₂ and their velocity become v₁ and v₂ after collision .

[tex]v_1=\frac{(m_1-m_2)u_1 }{m_1+m_2)} +\frac{2 m_2u_2}{(m_1+m_2)}[/tex]

Putting the values

[tex]v_1=\frac{ (.30-.80).40 }{( .30+.80)} +\frac{2\times .80\times(-.15) }{(.30+.80 )}[/tex]

= - 0.4 m /s

So direction of .30 kg mass will be reversed .

[tex]v_2=\frac{ ( m_2-m_1) u_2 }{( m_1+m_2)} +\frac{2 m_1u_1}{(m_1+m_2)}[/tex]

putting the values

[tex]v_2=\frac{ ( .80-.30)(-.15) }{( .30+.80)} +\frac{2 \times.30\times.40}{(.30+.80)}[/tex]

= .15 m /s

The direction of .80 kg will become from left to right ie its direction will be reversed .

b ) Minimum amount of kinetic energy will be at the position when they move with common velocity

common velocity

v = .3 x .4 - .8 x .15 / (.3 + .8)

= 0

c )

Missing energy is stored as elastic potential energy in the spring .

An emf of 22.0 mV is induced in a 519-turn coil when the current is changing at the rate of 10.0 A/s. What is the magnetic flux through each turn of the coil at an instant when the current is 3.70 A?

Answers

Answer:

[tex]\phi=1.56\times 10^{-5}\ Wb[/tex]

Explanation:

Given that,

Emf, V = 22 mV

Number of turns in the coil us 519

Rate of change of current is 10 A/s.

We need to find the magnetic flux through each turn of the coil at an instant when the current is 3.70 A.

Let's find the inductance first. So,

[tex]L=\dfrac{\epsilon}{(dI/dt)}\\\\L=\dfrac{0.022}{10}\\\\L=0.0022\ H[/tex]

We have,

[tex]L=\dfrac{N\phi}{I}[/tex], [tex]\phi[/tex] is magnetic flux

[tex]\phi=\dfrac{LI}{N}\\\\\phi=\dfrac{0.0022\times3.7}{519}\\\\\phi=1.56\times 10^{-5}\ Wb[/tex]

So, the magnetic flux is [tex]1.56\times 10^{-5}\ Wb[/tex].

¿Por qué una persona situada debajo de las ramas de un árbol ve caer una hoja con diferente tipo de movimiento que una persona que corre cerca del árbol?

Answers

Answer:

Therefore the laws of physics are the same for the two observers, whoever is standing under the tree observes a vertical movement of free fall.

The person who is running observes a movement parabolic

Explanation:

To answer this question we must establish that as two people have inertial reference systems from which to make their observations, the inertial systems are systems with constant velocity.

Therefore the laws of physics are the same for the two observers, whoever is standing under the tree observes a vertical movement of free fall.

The person who is running observes a movement parabolic composed of the vertical movement and horizontal movement ladies go running, therefore it is a parabolic movement

Traslate

Para responder eta pregunta debemos establecer que as dos personas tiene sistema de referencia inerciales de des donde realizar sus observación, los sistema inerciales son sistema con velocidad constante.

Por lo tanto las leyes de la fisica son la misma para los dos observadores, el que esta parado bajo el árbol observa un movimiento vertical de caída libre.

La persona que va corriendo observa un movimiento compuesto por el movimiento vertical y damas movimiento horizontal ir corriendo, por lo cual es un movimiento parabólico

At what altitude the value of ‘g’ would become one fourth (¼)of the surface of the earth?

Answers

Answer:

Explanation:

For acceleration due to gravity g , the expression is

g = GM / R² , where G is gravitational constant M is mass of the earth and R is radius of the earth .

At height h , let the value of it becomes g / 4 , so

g / 4 = GM / ( R + h )²

dividing

4 = [( R+ h)² / R² ]

2 = (R + h) / R

2 = 1 + h / R

h / R = 1

h = R

So at height equal to radius of the earth , acceleration due to gravity becomes 1 /4 of value on the surface of the earth .

prove p=f/a science chapter pressure​

Answers

Explanation:

Let 'F' be force acting perpendicularly, 'A' be the area and 'P' be the pressure exerted.

Then,

Pressure is directly proportional to the the force acting perpendicularly i.e.

P ∝ F ............. (i)

Pressure is inversely proportional to the area on which force acts i.e.

P ∝ 1/A ........... (ii)

Combining equations (i) and (ii),

P ∝ F/A

or, P = K × F/A [where K is a constant]

If F is 1N, A is 1m² and P is 1 N/m², then K is 1.

So, P = F/A proved...

An electron and a proton are 6.5x10 ^ -11 m apart, find the magnitude of the electric and gravitational force between the two particles

Answers

Explanation:

The electric force is:

F = k q₁ q₂ / r²

F = (9×10⁹ Nm²/C²) (-1.6×10⁻¹⁹ C) (+1.6×10⁻¹⁹ C) / (6.5×10⁻¹¹ m)²

F = 5.4×10⁻⁸ N

The gravitational force is:

F = G m₁ m₂ / r²

F = (6.67×10⁻¹¹ Nm²/kg²) (9.11×10⁻³¹ kg) (1.67×10⁻²⁷ kg) / (6.5×10⁻¹¹ m)²

F = 2.40×10⁻⁴⁷ N

A mass, M, is at rest on a frictionless surface, connected to an ideal horizontal spring that is unstretched. A person extends the spring 30 cm from equilibrium and holds it at this location by applying a 10 N force. The spring is brought back to equilibrium and the mass connected to it is now doubled to 2M. If the spring is extended back 30 cm from equilibrium, what is the necessary force applied by the person to hold the mass stationary there

Answers

Answer:

The necessary force applied by the person to hold the mass stationary there is 10 N

Explanation:

We are told that this person extends the spring 30 cm from equilibrium and holds it at this location by applying a 10 N force.

Thus, based on Hooke's law formula which is F = k Δx, we can say that the mass attached to the spring does not change the spring constant. Thus, the

same resistive spring force will still be in place and in turn, the same stretching force of 10N would still be required.

Thus;

The necessary force applied by the person to hold the mass stationary there is 10 N

What form of energy does a block of chocolate have?

Answers

Answer:

Chemical Energy

Explanation:

A charge (uniform linear density = 8.8 nC/m) lies on a string that is stretched along an x axis from x = 0 to x = 3.1 m. Determine the magnitude of the electric field at x = 5.2 m on the x axis.

Answers

Answer:

answer= 73.1256 [tex]i[/tex]

Explanation:

The electric charge linear density is equal to 8.8 x[tex]10^{-9}[/tex]

the length of the string is 3.1m

The magnitude of the electric field at the length of the string equal to 5.2 meters can be calculated with the formula ;

- E = λ / 4πε₀ [ [tex]l[/tex]  / α ( α +

Solution:

E =  8.8 x[tex]10^{-9}[/tex] / 4πε₀ [ 3.1/ 5.2( 5.2 + 3.1) ] [tex]i[/tex]

= 1018.0995 [0.07183] [tex]i[/tex]

=  73.1256 [tex]i[/tex]

an object is +2 m from the reference point. the object starts from rest it travels for 3 seconds and has a final position of -16 m. what is the acceleration of the object?

Answers

Answer:

Solution

Given:

initial velocity (u)=0m/s (because an object

starts from the rest)

time (t)=3sec

diatance travelled(s)=14m(16-2=14)

acceleration (a)=?

Now,

According to the formula

s=ut+1/2at^2

or,14 =0×3+1/2×a×3^2

or, 14=0+a/2×9

or, 14=9a/2

or, 9a=28

or, a=28/9

or, a=3.1 m/s^2

Therefore, the acceleration of the object is 3.1m/s^2 ans.

observe the virual skateboarder coming down the hill and over the ramp describe how each of newton’s laws of motion can be observed in this action you can choose the dry wet or muddy conditions or some combination of these

Answers

Answer:

first part the skater goes down a constant slope ramp, initially he has Newton's second law

pply Newton's third law, the normal is the reaction to the support of the body on the surface

the ramp shoots off.  axis becomes zero and therefore with Newton's first law its speed

Explanation:

It is the description of this movement let's write Newton's laws.

* The first law that a body goes at constant speed or zero if the sum of the external forces is zero

* the second law is F = m a

* The third law states that the forces act in pairs of equal magnitude and opposite direction, one applied to each body.

Let's apply these laws to our case

In the first part the skater goes down a constant slope ramp, initially he has Newton's second law when he accelerates from the initial velocity of zero to a terminal velocity.

The expression for this is

             Wₓ - fr = ma

             W sin θ - μ W cos θ = m a

             W = mg

             g (sin θ - μ cos) = a

the value of the coefficient of kinetic friction depends on the condition of the surface, dry, wet or muddy

This is Newton's second law

On the Y axis, which is perpendicular to the ramp we have

            N- [tex]W_{y}[/tex] = 0

             

If we apply Newton's third law, the normal is the reaction to the support of the body on the surface, note that it can be different from the weight.

In the second part when he is on the ramp.

In the ramp the skater enters with a speed v, suppose that the ramp has an incline so that the skater can jump, in this case the angle is positive with respect to the axis x

In this case the analysis is similar to the previous one

Newton's second law gives the acceleration of the skater, who when he reaches the end of the ramp shoots off.

 At this point the force in the x (horizontal) axis becomes zero and therefore with Newton's first law its speed this axis remains constant and the force in the y axis is the force of gravity and has an acceleration that changes if velocity according to Newton's second law

Answer:look at explanations

Explanation:

What is pin hole camera?

Answers

Answer:

Explanation:

Pinhole camera is a simple camera. It does not have a lens. The light passes from a hole and an inverted image is formed on the opposite side of the box.

Which is one use for radioactive isotopes? sanitation architecture meteorology archaeology

Answers

Answer:

Archaeology

Explanation:

Radioisotopes are radioactive atoms of an element in which their atoms contain excess energy making them unstable. When broken down they become more stable releasing radiations.

Carbon 14 is a radioactive isotope that is used in archaeology to study and estimate the lifespan and age of organic materials such as wood, leather. Carbon 14 can be used to estimate the ages of materials up to 50000 to 60000 years.

Answer:

archaeology

Explanation:

Den pushes a desk 400 cm across the floor. He exerts a force of 10 N for 8 s to move the desk. What is his power output? (Power: P = W/t) 1.25 W 5 W 40 W 500 W

Answers

Answer:

5 W

Explanation:

The formula of the power is:

● P = W/t

W is the work and t is the time needed to do it(in seconds)

Let's calculate first the work that the force exerced:

W = Vector F . Vector d

D is the distance ( here 400 cm wich is 4 m)

Make a representation to see how are the vectors F and V.(picture below)

The vector F and d are colinear since Den is pushing the desk on the ground.

● W = 4 × 10 = 40 J

J is Joule

■■■■■■■■■■■■■■■■■■■■■■■■■■

● P = W / t

● P = 40/ 8

● P = 5 W

The power output of the force of 10N for 8 seconds to move the desk is 5 watts. Thus, the correct option is B.

What is Power?

Power is the amount of energy which is transferred or converted per unit time. In the SI system of Units, the unit of power is the watt, which is equal to one joule per second time.

We Know, P = W/t

where, P = Power,

W = Work done,

t = Time taken

P = F × s/t

where, F = Force applied,

s = distance travelled,

t = time taken

Here, F = 10N

s = 400cm = 4m

t = 8 sec

Substitute their values into the expression,

P = 10 × 4/8

P = 10 × 1/2

P = 5 Watt

So, the power output will be 5 watts.

Therefore, the correct option is B.

Learn more about Power here:

https://brainly.com/question/287674

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Comic-strip hero Superman meets an asteroid in outer space and hurls it at 800 m/s, as fast as a bullet. The asteroid is a thousand times more massive than Superman. In the strip, Superman is seen at rest after the throw. Taking physics into account, what would be his recoil speed (in km/s)?

Answers

Answer:

800km/s

Explanation:

Initial momentum = final momentum

the total momentum is zero, Before the release of the asteroid , but Superman and the asteroid are not moving.

So, according to the Conservation of momentum the total momentum when the astronaut is been thrown will equals to zero . Then we can say

Initial momentum = final momentum

Because the momentum of the Superman immediately the asteroid is been thrown is equal to the momentum of the asteroid

Momentum =(mass ×velocity)

the mass of the asteroid i= 1000M

Given velocity = 800 m/s,

momentum =(1000M)(800 m/s)

= 800,000M m/s.

to get the answer, we need to divide by Superman's mass, M, which gives his recoil velocity of 800,000 m/s.

But we're told to convert to km/ s

We know that 1m/s=0.001km/s

=(800,000M m/s)× (0.001km/s)

=800km/s

Therefore, his recoil speed (in km/s) is 800km/s

Which of the following illustrates an increase in potential energy? Group of answer choices a wind-up toy winding down a person climbs a set of stairs an apple dropping from a tree a firecracker explodes

Answers

Answer:

A person climbs a set of stairs

Explanation:

Potential energy is said to be possessed by an object due to its position. As the height from the ground level increase, the potential energy increases. It is calculated by the below formula as :

P = mgh

Out of the given options, the option that illustrates an increase in potential energy is option (b) i.e. a person climbs a set of stairs. As he steps one stair, its position from ground increases. It means its potential energy increases.

If forces acting on an object are unbalanced, the object could experience a change in ________.

Answers

Answer:

velocity

Explanation:

Unbalanced forces on an object cause it to accelerate.  Acceleration is a change in velocity over time.

Answer:

a

Explanation:

none

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Write the equation in the form Ax+By = C.(-4,7), (-5,-2)Choose the equation of the line in the form Ax + By = C. which stratgy makes the most sense when cost pressure are intesne and demands for local resosiveness is limited Whats 18x^3 divided by 7x????? What is the slope of the line shown below? A. -13/6B. 6/13C. 13/6D. -6/13- What is the length of BC? 2 lines intersect a horizontal line to form 8 angles. Labeled clockwise, starting at the top left, the angles are: A, B, C, D, E, F, G, D. Which of the pairs of angles are vertical angles and thus congruent? A and G A and B C and F D and H Can a car moving with a negative velocity moves faster than a car moving with a positive velocity? explain. How many milligrams in 1 gram. ??? HELP !!! is the following nuclear equation balanced? On December 31, 2003, Rudd Company purchased 80 percent of the common stock of Wilton Company. At the time, Rudd held land with a book value of $100,000 and a fair value of $260,000; Wilton held land with a book value of $50,000 and fair value of $600,000. At what amount would land be reported in a consolidated balance sheet prepared immediately after the combination?a. $540,000.b. $590,000.c. $700,000.d. $860,000. Which choice avoids fragments to present the information clearly and correctly? Answers: 1Mr. Lang's fundraiser was a success because of his teenage daughter's computer skills. His website received a ton of donations. People loved it. Her sleek design and funny videos. It attracted a large crowd. 2 Mr. Lang's fundraiser was a success because of his teenage daughter's computer skills. His website received a ton of donations. People loved her sleek design and funny videos. Attracting a large crowd. 3 Mr. Lang's fundraiser was a success. Because of his teenage daughter's computer skills. His website received a ton of donations. People loved it. The sleek design and funny videos attracted a large crowd. 4 Mr. Lang's fundraiser was a success. Because of his teenage daughter's computer skills, his website received a ton of donations. People loved it. Her sleek design and funny videos attracted a large crowd. New Morning Bakery is in the process of closing its operations. It sold its two-year-old bakery ovens to Great Harvest Bakery for $580,000. The ovens originally cost $778,000, had an estimated service life of 10 years, and an estimated residual value of $48,000. New Morning Bakery uses the straight-line depreciation method for all equipment. Required: 1. Calculate the balance in the accumulated depreciation account at the end of the second year. The relationship between lean muscle tissue and fat mass is which component of tness?A. Body CompositionB. Muscular EnduranceC. Muscular StrengthD. Flexibility Answer two questions about Equations A and B: A.5x=20 \ B.x=4 1) How can we get Equation B from Equation A? Choose 1 answer: (Choice A) Multiply/divide both sides by the same non-zero constant (Choice B,) Multiply/divide both sides by the same variable expression (Choice C) Add/subtract the same quantity to/from both sides (Choice D) Add/subtract a quantity to/from only one side what is the definition of the word theme in literature? Read the following group discussion about Lord of the Flies by William Golding, in which a group of children are stranded on a desert island.MARIA:So, in his article Kinski says that the message in Lord of the Flies is that civilization is precious and can easily slip away.EDGAR:I think that Golding's message is that civilization itself is kind of a myth, given that the story seems to take place in the middle of a war of some kind; the adults fighting the war aren't any better than the children killing each on the island. In other words, civilization can't "slip away" if it was never there to begin with. VICTOR:Kinski does tend to make a big distinction between "civilized" people and "uncivilized" people, like it's something that can be turned on and off like a light switch. That explains his attitude. RIKU:What I got out of Lord of the Flies is that civilization is a house of cards, built slowly over time, that can come crashing down at a moment's notice. Kinski didn't really seem to contradict that idea. MARIA:It sounds like you two have pretty different ideas about what Kinski was saying. We should look back at the article and find support for what each of us thinks about his opinion. VICTOR:Fine by me. I remember exactly where to look.Which student is most clearly determining new research goals? Assume short-run production. Indicate whether the statement below is true (T) or false (F). nothing: The difference between the total cost and the total variable cost is a constant. nothing: When total cost or total variable cost is increasing, there are increasing marginal returns to the variable input. nothing: Changes in fixed costs do not affect the shape or placement of the total cost curve. nothing: The marginal cost is the slope of the total cost curve or the total variable cost curve. nothing: The average cost curve is everywhere above the average variable cost curve. nothing: The marginal cost at a particular output level is the slope of a line from the origin to the corresponding point on the cost curve.