a student stands several meters in front of a smooth reflecting wall, holding a board on which a wire is fixed at each end. the wire, vibrating in its third harmonic, is 75.0cm long, has a mass of 2.25g, and is under a tension of 400 N. a second student, moving towards the wall, hears 8.30 beats per second. what is the speed of the student approaching the wall? (solve without calculus)

Answers

Answer 1

Answer:

Explanation:

From the question we are told that

      The length of the wire is  [tex]L = 75.0cm = \frac{75}{100} = 0.75 \ m[/tex]

      The mass of the wire is  [tex]m = 2.25 \ g = \frac{2.25}{1000} = 0.00225 \ kg[/tex]

      The tension is  [tex]T = 400 \ N[/tex]        

       The frequency of the beat heard by the second student is

  [tex]f_b = 8.30\ beat/second[/tex]

The speed of the wave generated by the vibration of the wire is mathematically represented as

           [tex]v = \sqrt{\frac{TL}{m}}[/tex]

substituting values

           [tex]v = \sqrt{\frac{400 *0.75}{0.00225}}[/tex]

          [tex]v = 365.15 m/s[/tex]

         The wire is vibrating in its third harmonics so the wavelength is  

                        [tex]\lambda = \frac{2L}{3}[/tex]

substituting values

                        [tex]\lambda = \frac{2*0.75}{3}[/tex]

                        [tex]\lambda = 0.5 \ m[/tex]

The frequency of this vibration is mathematically represented as  

              [tex]f = \frac{v}{\lambda }[/tex]

substituting values  

           [tex]f = \frac{365.15}{0.5 }[/tex]

          [tex]f = 730.3 Hz[/tex]

The speed of the second student (Observer) is mathematically represented as

           [tex]v_o = [\frac{f_b}{2f} ] * v[/tex]

substituting values    

         [tex]v_o = [\frac{8.30}{2* 730.3} ] * 365.15[/tex]

        [tex]v_o = 2.08 \ m/s[/tex]


Related Questions

ellus
Three horizontal forces are pulling on a
ring, at rest. F1 is 12.0 N at a 0° angle, and
F2 is 18.0 N at a 90° direction. What is the
x-component of F3?​

Answers

Answer:

Explanation:

Three forces are in equilibrium .

Let us represent forces in vector form ie in the form of i and j .

F₁ is acting along positive x axis ( at a 0° angle )

F₁ = 12 i

F₂ is acting along positive y axis ( at a 90° direction)

F₂ = 18 j

Suppose F₃ is represented by X i + Y j

Total of three forces is zero .

F₁ + F₂ + F₃ = 0

12 i + 18 j + F₃ = 0

F₃ = - 12i - 18 j

So x - component of F₃ = - 12 i

X - component of F₃ is equal to 12 N in magnitude and is acting in negative x direction ie at 180° direction .

similarly y - component is 18 N acting in negative y direction.

Answer:

x-component: -12

y-component- -18

Explanation:

What is a neutral subatomic particle that has almost no mass and is released
from a radioactive nucleus during by fission and fusion reactions. These particles
can usually pass through matter undetected.

Answers

Answer:

Alpha particle

Explanation:

Alpha particles emitted by radioactive nuclei consist of 2 protons and 2 neutrons bound together which makes it neutral and are able to pass through ordinary matter almost undisturbed

Which item stores the most electrical potential energy within its capacitors?
A) Cell phone
B) Tablet
C) Television
D) Heating and Cooling system

Answers

Answer:

C. Television

Explanation:

Mostly in cathode ray television, a TV has many of different types of capacitors, used as connections between circuits, as timing components and as electronic filters. TV capacitors perform many functions.

capacitor acts as a reservoir for electric charge, storing and releasing electricity in precise amounts.

What is a Capacitor  ?

A capacitor is a simple device consisting of a pair of metal foils separated by a thin insulator, such as plastic, used basically for storing charge

Answer:

D) Heating and Cooling system

Explanation:

just took the test and got it right :)

A 385-g tile hangs from one end of a string that goes over a pulley with a moment of inertia of 0.0125 kg ⋅ m2 and a radius of 15.0 cm. A mass of 710 g hangs from the other end of the string. When the tiles are released, the larger one accelerates downward while the lighter one accelerates upward. The pulley has no friction in its axle and turns without the string slipping. What is the tension in the string on the side of the 710-g tile?

Answers

Answer:

the tension in the string is 5.59 N

Explanation:

Here ,

m_1 = 0.385 Kg

m_2 = 0.710 Kg

Using second law of motion ,

a = F_net / effective mass

a = (0.710- 0.385)×9.8/(0.710 + 0.385 + 0.0125/0.15^2)

a = 1.93 m/s^2

Now , let tension be T ,

then,

mg-T=ma

0.710×g - T = 0.710×1.93

T = 5.59 N

the tension in the string is 5.59 N

The primary coil of a transformer has 200 turns and the secondary coil has 800 turns. The power supplied to the primary coil is 400 watts. What is the power generated in the secondary coil if it is terminated by a 20-ohm resistor? The primary coil of a transformer has 200 turns and the secondary coil has 800 turns. The power supplied to the primary coil is 400 watts. What is the power generated in the secondary coil if it is terminated by a 20-ohm resistor? 20W 200W 400W 800W 8000W 16000W 32000W\

Answers

Answer:

400 W

Explanation:

Ignoring the efficiency rating for the transformer we have to assume 100% .. Also, the power input to primary is equal to the power output in secondary.

This means that power input = 400 W = power output

A mass weighting 48 lbs stretches a spring 6 inches. The mass is in a medium that exerts a viscous resistance of 27 lbs when the mass has a velocity of 6 ft/sec. Suppose the object is displaced an additional 6 inches and released.

Required:
a. Find an equation for the object's displacement, u(t), in feet after t seconds.
b. What is the mass of the object?
c. What is the damping coefficient?
d. What is the spring constant?

Answers

Answer:

a)

[tex]u(t)=0.499ft.e^{-\frac{144.76lb/s}{2(48lb)}t}cos(\omega t)\\\\u(t)=0.499ft.e^{-1.5t}cos(\omega t)[/tex]

b)

m = 48lb

c)

b = 144.76lb

Explanation:

The general equation of a damping oscillate motion is given by:

[tex]u(t)=u_oe^{-\frac{b}{2m}t}cos(\omega t-\alpha)[/tex]    (1)

uo: initial position

m: mass of the block

b: damping coefficient

w: angular frequency

α: initial phase

a. With the information given in the statement you replace the values of the parameters in (1). But first, you calculate the constant b by using the information about the viscous resistance force:

[tex]|F_{vis}|=bv\\\\b=\frac{|F_{vis}|}{v}\\\\|F_{vis}|=27lbs=27*32.17ft.lb/s^2=868.59ft.lb/s^2\\\\b=\frac{868.59}{6}lb/s=144.76lb/s[/tex]

Then, you obtain by replacing in (1):

6in = 0.499 ft

[tex]u(t)=0.499ft.e^{-\frac{144.76lb/s}{2(48lb)}t}cos(\omega t)\\\\u(t)=0.499ft.e^{-1.5t}cos(\omega t)[/tex]

b.

mass, m = 48lb

c.

b = 144.76 lb/s

What is clear cutting?

Answers

Foresting technique where most or all trees in an area are uniformly cut down.

Which factor limits interference between waves? A constant phase relationship between waves Similar wave amplitudes Unequal wavelengths Radiation through the same region

Answers

Answer:

Unequal Wavelengths

Explanation:

Got it right on the exam

Unequal wavelengths limit interference between waves because the waves will have different frequencies and will not be able to form a stable interference pattern. When waves of different wavelengths interact, they will interfere constructively and destructively at different points, creating an unpredictable pattern.

Answer:

Unequal wavelengths

Explanation:

Got it correct on the quiz.

In one experiment, you measured the potential difference across a resistor as a capacitor discharged through it. You then plotted the natural logarithm of the voltage vs time (in seconds), and from the equation of the best fit line you measured the time constant of the RC circuit. If the equation of that line is ln open vertical bar V close vertical bar equals negative 0.027 t plus 2.5 , what is the time constant of the circuit?

Answers

Answer:

Explanation:

For discharge of capacitor in RC circuit , the relation is as follows

[tex]V=V_0e^\frac{-t}{\lambda}[/tex]

V is voltage across the capacitor , V₀ is maximum  voltage across capacitor  , λ is time constant and t is the time after which the voltage is recorded. During discharge this will also be voltage across resistance .

Taking log on both sides

lnV = lnV₀   -  [tex]\frac{t}{\lambda}[/tex]

Given equation

[lnV] = - .027 t + 2.5

Comparing these equation

[tex]\frac{1}{\lambda} = .027[/tex]

λ = 37 s

time constant = 37 sec.

Which medium (1 or 2) is more dense?

Answers

Answer:

The answer is 1

Explanation:

It's fr 1

Sinec the light rays bends away from the normal when it enters into medium 2, the denser medium is medium 1.

What is refraction?

Refraction is the bending of light waves at the boundary of media of different densities.

During refraction, if light travels from less dense to a denser medium, the light rays is bent towards the normal.

However when light travels from denser to less dense medium, the light rays bends away from the normal.

Therefore, since the light rays bends away from the normal when it enters into medium 2, the denser medium is medium 1.

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How dose the Sum Of Forces help you

Answers

Answer:

The purpose of adding force vectors is to determine the net force acting upon an object. In the above case, the net force (vector sum of all the forces) is 0 Newton. ... We would say that the object is at equilibrium. Any object upon which all the forces are balanced (Fnet = 0 N) is said to be at equilibrium.

Explanation:

hope that helps you

Why do astronauts' weights differ in space?

There is a less gravitational force in space.
Their mass changes in space.
Space is colder than Earth.
There is less oxygen in space.

Answers

Answer:

There is less gravitational force in space.

Explanation:

Gravity doesn't exist as it does on Earth. Earth's gravity is as 6 times stronger as it is on the moon.

Which best describes the direction of heat?

Answers

the second law of thermodynamics

Ned tightens a bolt in his car engine by exerting 15 N of force on his wrench at a distance of 0.45m from the fulcrum. How much torque must Ned produce to turn the bolt?

Answers

Answer:

[tex]T = 6.75\,N\cdot m[/tex]

Explanation:

Vectorially speaking, torque is the cross product between force and distance from fulcrum. Its magnitude is equal to the following expression:

[tex]T = F\cdot r \cdot \sin \theta[/tex]

[tex]T = F_{\bot} \cdot r[/tex]

Let assume that force is perpendicular to the distance from the fulcrum. So, the torque needed to turn the bolt is:

[tex]T = (15\,N)\cdot (0.45\,m)[/tex]

[tex]T = 6.75\,N\cdot m[/tex]


2. Water at the Antarctica usually exits as ice, making it very difficult to use the water or conduct experiment requiring the water to be in liquid state. A coffee addicted physicist stationed at a research base requires about 0.8 kg of ice for his coffee on the hour.
a. How much heat is required to convert 0.8 kg of ice at —35 °C into steam at 100°C?

Answers

Answer:

662480 J

Explanation:

The heat required to convert 0.8Kg of ice at -35°c to steam at 100°c is the sum of the heat required to raise the temperature of the ice from -35°c to 0°C, the latent heat of fusion of ice and the heat required to raise the temperature of the ice from 0°c to 100°c.

Latent heat of fusion for ice= 3.36× 10^5 J Kg-1

Specific heat capacity of ice= 2060 J kg−1K−1

Specific heat capacity of water= 4200 JKg-1K-1

Heat required to raise the temperature of the ice to fusion point

H= 0.8 × 2060 × [0-(-35)]

H= 57680 J

Latent heat of fusion of ice;

H= mL

H= 0.8 ×3.36× 10^5

H= 2.688×10^5 J

Heat required to raise the temperature of the water to 100°C

Since mass is conserved, the mass of ice that has melted has been turned into an equivalent mass of water.

Therefore mass of water formed= 0.8Kg

H= 0.8× 4200 × 100

H= 336000J

Therefore total heat required;

H= 57680 + 2.688×10^5 + 336000

H= 662480 J

Answer:

2468,080j

Explanation:

PLS ANSWER WILL GIVE BRAINLIEST
An elevator with a person inside weighs a total of 24,450 Newtons. an elevator that rises 12 meters in 30 seconds. How much power is needed for the elevator trip?

Answers

Answer:

9780 W

Explanation:

Power: This can be defined as the rate at which work is done. The S.I unit of power is Watt (W).

From the question,

P = W/t....................... Equation 1

Where P = power, W = work, t = time.

But,

W = F×d.............. Equation 2

Where F = force, d = distance.

Substitute equation 2 into equation 1

P = (F×d)/t................. Equation 3

Given: F = 24450 N, d = 12 m, t = 30 s.

Substitute these vales into equation 3

P = (24450×12)/30

P = 9780 W.

Hence the power needed for the elevator trip = 9780 W

Answer:

9,780Watts

Explanation:

Power is defined as the rate of workdone with respect to time.

The formula for calculating power P needed by the eleveator is expressed as;

Power = [tex]\frac{workdone}{time}[/tex]

Since Workdone = Force*distance then;

[tex]Power = \frac{force * distance}{time}[/tex]

Given the weight of elevator = 24,450Newtons

distance moved by the elevator = 12m

time taken = 12seconds.

Substituting this values in the formula given will give;

[tex]Power = \frac{24,450*12}{30} \\Power = \frac{293,400}{30} \\Power = 9,780Watts\ or\ 9.78kW[/tex]

The amount of power needed for the elevator trip is 9,780Watts

who is the first person created light bulb​

Answers

Answer:

Thomas Alva Edison

Explanation:

he created the bulb first. He was an American. He was an inventor and also a businessman. Moreover he invented the phonograph, and the motion picture camera, as well as improving the telegraph and telephone.

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A team of landscapers pull an unplanted tree across the lawn. What forces are used?

Answers

Answer:

Explanation:

When an unplanted tree is pulled across the lawn then a variety of forces will be acting on the tree i.e.

1.There will be gravity force

2.Friction force to oppose the motion

3.Applied force which is pulling the tree

4. Normal force in response to the gravity force.

A ball is thro.d hit the grouvelocity)?

Answers

Answer:

The velocity of the ball is 3.52 m/s.

Explanation:

A projectile is any object that moves under the influence of gravity and momentum only. Examples are; a thrown ball, a fired bullet, a kicked ball, thrown javelin, etc.

Given that the ball was thrown vertically upward on the top of a skyscraper of  height 61.9 m. So that the velocity can be determined by;

      u = [tex]\sqrt{\frac{2H}{g} }[/tex]

Where: u is the velocity of the object, H is the height and g is the gravitational force on the object. Given that: H = 61.9 m and g = 10 m/[tex]s^{2}[/tex], then;

 u = [tex]\sqrt{\frac{2*61.9}{10} }[/tex]

   = [tex]\sqrt{\frac{123.8}{10} }[/tex]

u  = 3.5185

The velocity of the ball is 3.52 m/s.

According to recent typical test data, a Ford Focus travels 0.240 mi in 19.3 s, starting from rest. The same car, when braking from 62.5 mph on dry pavement, stops in 150 ft. Assume constant acceleration in each part of its motion, but not necessarily the same acceleration when slowing down as when speeding up.(a) Find the magnitude of this car's acceleration while braking.(b) Find the magnitude of this car's acceleration while speeding up.(c) If its acceleration is constant while speeding up, how fast (in mph) will the car be traveling after 0.250 mi of acceleration?(d) How long does it take the car to stop while braking from 59.0 mph?

Answers

Answer:

Explanation:

a )

While breaking initial velocity u = 62.5 mph

= 62.5 x 1760 x 3 / (60 x 60 )  ft /s

= 91.66 ft / s

distance trvelled s = 150 ft

v² = u² - 2as

0 = 91.66²  - 2 a x 150

a = - 28 ft / s²

b ) While accelerating initial velocity u = 0

distance travelled s = .24 mi

time = 19.3 s

s = ut + 1/2 at²

s is distance travelled in time t with acceleration a ,

.24 = 0 + 1/2 a x 19.3²

a = .001288 mi/s²

= 2.06 m /s²

c )

If distance travelled s = .25 mi

final velocity v = ? a = .001288 mi / s²

v² = u² + 2as

= 0 + 2 x .001288 x .25

= .000644

v = .025 mi / s

= .0025 x 60 x 60 mi / h

= 91.35 mph .

d ) initial velocity u = 59 mph

= 86.53 ft / s

final velocity = 0

acceleration = - 28 ft /s²

v = u - at

0 = 86.53 - 28 t

t = 3 sec approx .

name 3 things in the solar system​

Answers

Answer:

mercury ,venus, earth

Answer

sunplanets moonscomets

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A train is 240 meters long and travels 20 m/s. How long does
it take to cross a 360-meter long bridge?
S​

Answers

Answer:

=18 sec

Explanation:

240m=20m/s, find 360m

360×20÷240=30m/s

time=distance÷speed

240÷20=12sec

if 240=12sec,find 360

360×12÷240

=18 sec

what property of an electromagnetic wave changes when the wave is encoded with analog information?

Answers

Answer:

Amplitude and Frequency

Explanation:

Analog signals are composed of continuous waves that can have any values for frequency and amplitude. These waves are smooth and curved.

Radio transmissions are a combination of two kinds of waves: audio frequency waves that represent the sounds being transmitted and radio frequency waves that "carry" the audio information. All waves have a wavelength, an amplitude and a frequency as shown in the figure. These properties of the wave allow it to be modified to carry sound information.

The two most common types of modulation used in radio are amplitude modulation (AM) and frequency modulation (FM). Frequency modulation minimizes noise and provides greater fidelity than amplitude modulation, which is the older method of broadcasting . Both AM and FM are analog transmission systems, that is, they process sounds into continuously varying patterns of electrical signals which resemble sound waves.

Which of the choices is not a statement or direct application of the second law of thermodynamics? There are no 100% efficient heat engines. Heat energy naturally transfers from a high temperature substance to a low temperature substance. The change in internal energy of a system can be found by combining the heat energy added to a system minus the work done by the system. All natural processes tend toward states of increased entropy.

Answers

Answer:

Explanation:

Heat energy naturally transfers from a high temperature substance to a low temperature substance.

It  is not a statement or direct application of the second law of thermodynamics.

The change in internal energy of a system can be found by combining the heat energy added to a system minus the work done by the system.

It  is not a statement or direct application of the second law of thermodynamics. This statement is in accordance with first law of thermodynamics.

All the other two statements are in accordance with second law of thermodynamics.

The statement B is not a statement or direct application of the second law of thermodynamics.

Statements given to us:

(a.) There are no 100% efficient heat engines.

(b.) Heat energy naturally transfers from a high temperature substance to a low temperature substance.

(c.) The change in internal energy of a system can be found by combining the heat energy added to a system minus the work done by the system.

(d.) All natural processes tend toward states of increased entropy.

According to the Second Law of Thermodynamics:

heat transfer occurs spontaneously only from higher to lower temperature bodies.Entropy of the entire universe, as an isolated system, will always increase over time. The changes in the entropy in the universe can never be negative.

So, according to the above points statement B is not a statement or direct application of the second law of thermodynamics.

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D’andre expends 120W of power in moving a couch 15 meters in 5 seconds. How much force does he exert?

Answers

Answer:

40N

Explanation:

A block is given an initial speed of 3m/s up a 25° incline coefficient of friction= 0.12
A) how far up the plane will it go?
B) how much time elapses before it returns to it's starting point?.

Answers

Answer:

a)   y = 0.459 m , b)   t = 13 s

Explanation:

a) For this exercise we use Newton's second law to find the acceleration of the block

           

we fix a reference system with the x axis parallel to the plane and the y axis perpendicular to it

X axis

          -Wₓ - fr = m a               (1)

Axis y

          N - [tex]W_{y}[/tex] = 0

          N = W_{y}

the friction force has the formula

          fr = μ N

let's use trigonometry to find the components of the weight

          sin 25 = Wₓ / W

         Wₓ = W sin 25

          cos 25 = W_{y} / W

          W_{y} = W cos 25

we substitute in 1

          - W sin 25 - μ W cos 25 = m a

          - g (sin 25 - μ cos 25) = a

let's calculate

          a = - 9.8 (sin 25 - 0.12 cos 25)

         a - 0.25 m / s

this is the acceleration on the plane, so we can use the kinematic relations in one dimension

   

the highest point where the block rises the speed is zero (va = 0)

          v² = v₀² - 2 a y

           y = v₀² / 2g

          y = 3 2 / (2 9.8)

           y = 0.459 m

this is the distance the cantes block travels to stop

       

  b) the time of the entire journey is

               y = v₀ t - ½ a t²

               

the point where the body recesses is y = 0

            0 = (vo - ½ a t) t

whose solutions are

           t = 0

           0 = vo - ½ a t

           t = 2vo / a

           t = 2 3 / 0.459

           t = 13 s

What kind of lens is found in both a magnifying glass and a microscope

Answers

I found this on google hope it’s helps and can I have brainless question

Answer:

convex lens

Explanation:

The invisible line that passes through the North Pole and the South
Pole is called Earth's what

Answers

Answer:

The Prime Meridian

The invisible line that passes through the North Pole and the South

Pole is called Earth's axis.

What is axis of earth?

The imaginary line connecting the North and South poles is known as the Earth's axis. Its orbital plane and it are at an angle of 66 (1/2) degrees.

What is north pole and south pole?

The Earth rotates on a 22 1/2-degree axis rather than vertically. A compass's arrow always points north when being used. The South Pole is located at the southernmost point on Earth, whereas the North Pole is located at its northernmost point. The region near the North and South Poles is extremely cold, whereas the region around the equator is extremely warm.

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Jamal has a fan that plugs into the wall. When Jamal plugs in the fan and turns it on, the blades spin and make the air around them move.


Jamal's fan uses _______ energy to cause motion.
A.
electrical
B.
light
C.
sound
D.
heat

Answers

The answer is A,electrical energy
A because when he is plugging it it is using electrical energy to move the fan

If you run the simulation a few times, you should see that for this particular pair of block and disc the block's position has the same numerical value as the disc's angular position, and the block's velocity has the same numerical value as the disc's angular velocity. Which of the following pairs of quantities must also have the same numerical values for the block and disc (assuming we use standard meter-kilogram-second units)? Select all that apply.

a. The work done by the force on the block and the work done by the torque on the disc.
b. The acceleration of the block and the angular acceleration of the disc.
c. The mass of the block and the mass of the disc.
d. The translational kinetic energy of the block and the rotational kinetic energy of the disc.
e. The momentum of the block and the angular momentum of the disc

Answers

Explanation:

C) is incorrect.  The mass is equivalent to the moment of inertia in an angular formula.

The others appear all correct.

T * theta = F * r * theta = F * (r theta) = fx = work

This is the only one that needed explanation.  The others should be obvious.

Other Questions
Infectious diseases are caused by organisms called pathogens. Pathogens can be bacteria, viruses, fungi, or protists. One common disease caused by a fungus isA) the flu. B) HIV/AIDS. C) athlete's foot. D) Parkinson's disease. How does a dinosaur become a fossil. Please at least 3 sentences. Which expression is equivalent to 9 8x?A. -8x 9B. -8x + 9O c. 8x - 9D. 8x + 9 Which phrase best describes the side of the moon that faces the Earth?Question 5 options:We always see random sides of the moon.We always see the left side of the moon.We always see the right side of the moon.We always see the same side of the moon. what is a benefit of practicing abstinence Pllssss I need help Colin rolls a fair dice 18 times.How many times would Colin expect to roll a number greater than 3? Martin drew a triangle. Its sides were 3 cm 3 cm3, start text, space, c, m, end text, 4 cm 4 cm4, start text, space, c, m, end text, and 5 cm 5 cm5, start text, space, c, m, end text. It has one right angle and two acute angles. Complete the sentence to describe the triangle Martin drew. Martin's triangle is and . The author's purpose in Shania's Diary connects to the story's theme byshowing how people should try new experiences before judging them.showing how people should have low expectations for new experiences.showing how people should be suspicious of new experiences.showing how people should have high expectations for new experiences. Wich pair of molecules both contain carbon atoms ? Many politicians, including the Clintons, Newt Gingrich, and Charles Rangel in this film,have apologized for their role in promoting devastating "tough on crime" legislation.Considering the billions of dollars made off the imprisonment of people, the ongoingpractice of prison labor, and the cases of unjust imprisonment (as in the tragic case of KaliefBrowder), is an apology enough? Is our country compelled to repay these communities andfamilies in a more material, restorative way? Why or why not? LE:Which type of government is bestcharacterized by the quotation below?"... The person of the King is sacred, and toattack him in any way is an attack on religionitself. Kings represent the divine majesty and havebeen appointed by Him to carry out His purposes.Serving God and respecting kings are boundtogether."-- Bishop Jacques Bossuetcommunism vs. capitalismlimited republic / democracylimited monarchyabsolutim/ divine right The diagram provided shows the carbon and nitrogen flow through a man-made mussel bed in the ocean. What evidence would support the law of conservation of mass for this ecosystem?A. A The amount of carbon and nitrogen removed during harvest equals the amount seeded as biomass.B. B Carbon and nitrogen enter and leave the ecosystem only through man-made processes.C. C The mass of scavengers, decomposers, and feces equals the mass absorbed from phytoplankton and detritus.D. D The total amount of carbon and nitrogen entering the ecosystem equals the total amount leaving the ecosystem. 6 more than a number is 36. choose the phrase that best completes the sentence.viajar en avin es ________.A.mas economico que el trenB.muy incomodoC.lo mas comodoD.menos rapido que el auto Practice and Apply Identify the mood of the boldfaced verbs in each sentence. Then, rewrite each sentence using the interrogative mood.. Question: 2. Ben (scratched) his nose as he (stood) by the fence.Question: 3. (Let) me whitewash a little!Question: 4. (Give) Ben the brush, and then (watch) him work.Question: 5. After a while, Tom (was rolling) in wealth.Question: 6. (Trade) the tadpoles for a chance to whitewash the fence.whatever is in () =Bold text Work out the circumference of this circle. Give your answer in terms of pi and state its units HELP EASY ! This chart shows how the cost of moving goods changed between 1815 and 1860. In 1860, was it cheaper to move goods over land or over water? Some processes for making coffee leave tiny particles of ground coffee beans suspended in the coffee when it is served. Can these particles be considered a solute if they are evenly distributed throughout the cup of coffee? Explain. what is 1/4 liters in decimal?