An 8000 kg engine pulls a train of 5 wagons, each of 2000 kg, along a horizontal track. If the engine exerts a force of 40000 N and the track offers a friction force of 5000 N, then calculate: the force of wagon 1 on wagon 2?

Answers

Answer 1

Answer:

The net force of engine on total mass of train is 35000 N

The net acceleration is 1.944 m/s²

I


Related Questions

What happens to energy “lost” during an energy transformation? A. It turns into heat energy. B. It turns into kinetic energy. C. It turns into potential energy. D. It turns into kinetic energy and potential energy.

Answers

Answer:

I think it turns into heat (thermal) energy if I'm right

which forces causes oppositely charged particles to attract each other?

Answers

Answer:

Electromagnetism causes like-charged objects to repel each other and oppositely charged objects to attract each other. The electromagnetic force binds negative electrons to the positive nuclei in atoms and underlies the interactions between atoms.

What’s the maximum height of the second hill? Use your answer from part E and the formula PE=m•g•h to determine the answer. Assume that g = 9.8m/sec2.

Answers

Answer:

111.4 m

Explanation:

PE = m x g x h

349,300 = 320 x 9.8 x h

h = 349300 : 3136

h = 111,384 m

what is the efficiency of a machine that can carry a load of 100 kg with an effort of 20N when its velicity ratio is 10​ ASAP

Answers

Answer:

Efficiency of machine=4.9

Explanation:

We are given that

Mass of load=100 kg

Effort=20 N

Velocity ratio=10

We have to find the efficiency of machine.

Load=[tex]mg=100\times 9.8=980 N[/tex]

Efficiency=[tex]\frac{Load}{effort}\times \frac{1}{velocity\;ratio}[/tex]

Using the formula

Efficiency of machine=[tex]\frac{980}{20}\times \frac{1}{10}[/tex]

Efficiency of machine=[tex]\frac{49}{10}[/tex]

Efficiency of machine=4.9

In any case, resistance of a material is a measure of the quantity of

present in the materials.

Answers

Answer:

free electrons

Explanation:

Answer:

free electrons

Explanation:

A force of 5N compresses a spring by 4cm. Find the force constant of the spring.​

Answers

Answer:

k = 1,250 N/m

Explanation:

Use the formula F=kx, with F=5N and x=0.04m

Then the spring constant (k) is 5/0.04

The average kinetic energy of the molecules of an ideal gas at 10∘C has the value K10. At what temperature T1 (in degrees Celsius) will the average kinetic energy of the same gas be twice this value, 2K10? Express the temperature to the nearest integer. View Available Hint(s) T1 T 1 T_1 = nothing ∘C Part B The molecules in an ideal gas at 10∘C have a root-mean-square (rms) speed vrms. At what temperature T2 (in degrees Celsius) will the molecules have twice the rms speed, 2vrms? Express the temperature to the nearest integer. View Available Hint(s) T2 T 2 T_2 = nothing ∘C

Answers

Answer:

A) T1 = 566 k = 293°C

B) T2 = 1132 k = 859°C

Explanation:

A)

The average kinetic energy of the molecules of an ideal gas is givwn by the formula:

K.E = (3/2)KT

where,

K.E = Average Kinetic Energy

K = Boltzman Constant

T = Absolute Temperature

At 10°C:

K.E = K10

T = 10°C + 273 = 283 K

Therefore,

K10 = (3/2)(K)(283)

FOR TWICE VALUE OF K10:

T = T1

Therefore,

2 K10 = (3/2)(K)(T1)

using the value of K10:

2(3/2)(K)(283) = (3/2)(K)(T1)

T1 = 566 k = 293°C

B)

The average kinetic energy of the molecules of an ideal gas is given by the formula:

K.E = (3/2)KT

but K.E is also given by:

K.E = (1/2)(m)(vrms)²

Therefore,

(3/2)KT = (1/2)(m)(vrms)²

vrms = √(3KT/m)

where,

vrms = Root Mean Square Velocity of Molecule

K = Boltzman Constant

T = Absolute Temperature

m = mass

At

T = 10°C + 273 = 283 K

vrms = √[3K(283)/m]

FOR TWICE VALUE OF vrms:

T = T2

Therefore,

2 vrms = √(3KT2/m)

using the value of vrms:

2√[3K(283)/m] = √(3KT2/m)

2√283 = √T2

Squaring on both sides:

(4)(283) = T2

T2 = 1132 k = 859°C

A) The temperature at which the average kinetic energy will have a value of 2K10 is; T1 = 293 °C

B) The temperature at which the molecules have twice the rms speed, 2vrms is; T2 = 859 °C

A) We are given;

Initial temperature; T = 10°C = 283 K

Initial kinetic energy; KE = K10

Final kinetic energy; KE1 = 2K10

Now,formula for average kinetic energy of the molecules of an ideal gas is given as;

KE = (3/2)kT

Where;

k is Boltzmann constant

T is temperature

We are told that in the second case, KE = 2K10. Thus;

2K10 = (3/2)kT1

K10 = ¾kT1 - - - (eq 2)

In the first instance, we have;

K10 = (3/2)kT - - - (eq 1)

Put (3/2)kT for K10 in eq 2 to get;

(3/2)kT = ¾kT1

k will cancel out to get;

(3/2)T = ¾T1

Make T1 the subject to get;

T1 = 2T

Thus;

T1 = 2 × 283

T1 = 566 K

Converting to °C gives;

T1 = 293 °C

B) We want to find the temperature T2 (in degrees Celsius) at which the molecules will have twice the rms speed, 2v_rms.

Formula for kinetic energy is also;

KE = ½mv²

Thus;

½m(v_rms)² = (3/2)kT

v_rms = √(3kT/m) - - - (eq 1)

When rms speed is 2v_rms, we have;

½m(2v_rms)² = (3/2)kT2

v_rms = √(¾kT2/m) - - - (eq 2)

Thus;

√(3kT/m) = √(¾kT2/m)

Square both sides to get;

(3kT/m) = (¾kT2/m)

4T = T2

T2 = 283 × 4

T2 = 1132 K

Converting to °C gives;

T2 = 859 °C

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A 4-ohm and 2-ohm resistor are wired in PARRELL. What is the TOTAL resistance?

Answers

Answer:

1.33ohms

Explanation: The formula for resistance in a parallel circuit is :

1/Rt = 1/R1+1/R2

Where Rt represents total resistance, R1 = 4ohms and R2 = 2ohms

1/Rt = 1/4+1/2

1/Rt = 1+2/4

1/Rt = 3/4

Rt = 4/3

Rt= 1.33ohms

Hence the total resistance is 1.33ohms

Some parents build their children’s lives around sports and place a high premium on the successes their children achieve in sports. Such parents often enroll their kids in sports programs when they are in preschool and continue to encourage their involvement in sports through high school and beyond. Many of these parents justify their position by equating success on the playing field with success in the real world. They also cite the benefits of sports to support their decisions: improving physical fitness, building lasting friendships, and acquiring life skills, such as persistence and teamwork. In light of this phenomenon, discuss the benefits and drawbacks to parental involvement in their children’s sports lives. When do parents cross the line between healthy encouragement to prepare their children for success and pushing them to succeed at all costs?

Answers

Answer:

I think they cross the line when they force sports into their child's life, and take away their choice of what they want to do so they essentially waste their childhood preparing for something that may never happen or they just don't get the opportunity to explore their artistic abilities.

Explanation:

In young's double silt experiment if the distance between the silts is 0.5 and the distance between the silts and screen is 2 times.Then what will be the width of bands

Answers

Answer: The width of bands will be 2λ

Explanation: Please see the attachments below

Which of the following choices is a characteristic of the Baroque period?
clear melodies
simplified orchestration
emotional meaning
grandeur​

Answers

Answer: C

emotional meaning

Explanation:

Baroque style in the Baroque period is an ancient way of variety of arts used to produce European uniqueness in many art works such as magnificence in sculpture, painting, architecture, literature, dance, music and drama.

The characteristic of the Baroque period that helped to achieve all these is the extravagant display of emotions and details orientation.

as the trait is dominant and controlled by a single gene,the mutation must have occurred on both diploid copies. true or false?

Answers

Answer:

False

Explanation:

A dominant trait is a trait that is inherited from parents. It is a trait that is obtained from a particular copy or type of a gene that overshadows or overwhelms the effects of another type or copy of that gene. Dominant traits are controlled by a single gene.

Therefore , as the trait is dominant and controlled by a single gene,the mutation must have occurred on both diploid copies is a false statement.

What is the mass of a dog if it accelerates at 15 m/s^2 and has a force of 50 N?

Answers

Answer:

3.33kg

Explanation:

Force=mass×acceleration

Force=50N

Acceleration=15m/s^2

50=m×15

50=15m

50/15=15m/15

3.33=m

Therefore the mass is 3.33kg

6. A technlclan can be electrocuted when working on HEVs or EVs.

A) O True

B) O False

Answers

Answer:

True

Explanation:

It is true that. A technician can be electrocuted when working on HEVs or EVs, therefore the correct answer is option A

What is an electric vehicle (EV)?

An EV stands for an electric vehicle. Electric vehicles (EVs) are autos that are powered totally or partially by electricity. Electric cars are extremely cost-effective to run because they have fewer moving parts to maintain and use little to no fossil fuels (petrol or diesel).

When evaluating its environmental impact, every factor must be taken into consideration. Considering that EVs have a minimal overall environmental impact, this suggests that the severity of these production emissions decreases.

Recycling is one strategy for lowering the lifespan emissions of electric vehicles. Again, incorrect assumptions can be refuted by facts.

Thus, That is accurate. The correct response is option A because a technician could electrocute themselves while working on HEVs or EVs.

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A running man cannot stop as soon as he wants to stop. Explain why ?


Plz reply fast

Answers

Answer:

mass is not eager to be accelerated or in this case slowed down.

Explanation:

In general, Newton's 1st law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.

What this means is that a mass is not eager to be accelerated or in this case slowed down. It will require an external force (muscle power) to get the mass of a running man to slow down. It is not instant also, because it takes time to slow down.

EXTRA

Supose the running man would try to stop instantly by purposely running against a brick wall. Even in that case, there is a small amount of time needed ( a fraction of a second perhaps) in which the moving mass of the man is forced to stop moving. That force is usually so huge, that it will injure someone in case of a crash, which might result even in death!

The purpose of an airbag or wearing a helmet, is to extend the time during a crash, FROM 0 to close to zero.

The layer of foam inside a helmet, protects the head in case of a crash, because it takes an amount of time for the head to squash the foam inside the helmet because the mass needs to be stopped ALMOST instantly. That difference between zero seconds and maybe 1 second, is sometimes enough to be able to survive a crash.


Find the average speed of a car that is travelling 45 km in 5 hours. *
4 points
6 km/h
8 km/h
9 km/h
20 km/h​

Answers

Answer:

9 km/h

Explanation:

Speed can be found using the following formula.

s=d/t

where d is distance and t is time.

The car traveled 45 kilometers in 5 hours.

d=45 km

t=5 h

Substitute these values into the formula

s=45 km/5 h

Divide 45 by 5

s=9 km/h

The average speed of the car is 9 kilometers per hour.

The answer would be 9 ! Hope this helps !

If the total momentum of a system of an old woman pushing a shopping cart is 450 kg×m/s, both with a velocity of 3 m/s, and the woman has a mass of 50 kg, what is the mass of the cart?

Answers

Answer:

100kg

Explanation:

Momentum is defined as the product of mass times velocity:

[tex]p=mv[/tex]

The total momentum M must be equal to the sum of momentums of the system components, in this case the momentum of the lady plus the momentum of the cart:

[tex]M=m_{woman}v_{woman}+m_{cart}v_{cart}[/tex]

since both the woman and the shopping cart have the same velocity:

[tex]v_{woman}=v_{cart}=v[/tex]

the equation becomes:

[tex]M=m_{woman}v+m_{cart}v\\M=v(m_{woman}+m_{cart})[/tex]

and since we need the mass of the cart we solve for [tex]m{cart}[/tex]:

[tex]m_{woman}+m_{cart}=\frac{M}{v} \\\\m_{cart}=\frac{M}{v} -m_{woman}[/tex]

the values given by the problem are the following:

total momentum: [tex]M=450kgm/s[/tex]

mass of the woman: [tex]m_{woman}=50kg[/tex]

velocity: [tex]v=3m/s[/tex]

we substitute all of them in the equation to find the mass of the shopping cart:

[tex]m_{cart}=\frac{450kgm/s}{3m/s} -50kg\\\\m_{cart}=150kg-50kg\\\\m_{cart}=100kg[/tex]

the mass of the cart is 100kg.


A car weighing 1600 kg is accelerated to 30m/s from start in 20s. Calculate the
acceleration of the car and the magnitude of the force applied. ​

Answers

Answer:

Acceleration = 1.5m/s²Force applied = 2,400N

Explanation:

Force is defined as the product of mass of an object and its acceleration.

Force = mass * acceleration and acceleration = velocity/time

Force = mass*(velocity/time)

Given Mass of the car = 1600kg, velocity = 30m/s and time taken = 20secs

Substituting this values in the formula will give;

Force = 1600 * 30/20

Force = 1600 * 1.5

Force = 2,400N

Magnitude of the force applied = 2,400N

Since acceleration = velocity/time

Acceleration = 30/20

Acceleration = 1.5m/s²

Acceleration of the car is 1.5m/s²

Two identical 82 mg dust particles very far apart (PEE 0) are moving directly toward each other at a speed of 3698 m/s. The charge on each is-719 ?C. Determine how close they will get to each other. Let k = 9x109 N-m2/C2 & ignore gravity.

Answers

Answer:

r = 4.139

Explanation:

In order to calculate how close the particles will get to each other, you take into account that all kinetic energy becomes electric potential energy between the particles when they are at the minimum distance. Then, you have:

[tex]U=K\\\\k\frac{q_1q_2}{r}=\frac{1}{2}m_1v_1^2+\frac{1}{2}m_2v_2^2[/tex]         (1)

q1 = q2: charge of the dust particles = -719μC = -719*10^-6 C

m1 = m2: mass = 82mg = 82*10^-6 kg

v1 = v2: speed of both particles = 3698 m/s

k: Coulomb's constant = 8.98*10^9 Nm^2/C^2

You solve the equation (1) for r:

[tex]q_1=q_2=q\\\\m_1=m_2=m\\\\v_1=v_2=v\\\\k\frac{q^2}{r}=mv^2\\\\r=\frac{kq^2}{mv^2}[/tex]

Finally, you replace the values of all parameters:

[tex]r=\frac{(8.98*10^9Nm^2/C^2)(-719*10^{-6}C)^2}{(82*10^{-6}kg)(3698m/s)^2}\\\\r=4.139m[/tex]

hence, the distance at which both dust particle are closer to each other is r = 4.139m

What is true about the force between charges?

Answers

Explanation:

The force between two charges is given by :

[tex]F=\dfrac{kq_1q_2}{r^2}[/tex]

k is electrostatic constant

r is distance between charges

The force between charges is directly proportional to the product of charges and inversely proportional to the square of the distance between them.  

An electric field is = (400 N/C) for x > 0 and = (–400 N/C) for x < 0. A cylinder of length 30 cm and radius 10 cm has its center at the origin and its axis along the x axis such that one end is at x = +15 cm and the other is at x = –15 cm. What is the net outward flux through the entire cylindrical surface?

Answers

Answer:

0 Nm²/C

Explanation:

We calculate the total flux Ф = ∫E.dA for -15 < x < 0 and 0 < x < 15

which is the flux through the curved sides + the flux through its ends.

So, Ф₁ = ∫₋₁₅⁰E.dA + ∫₀¹⁵E.dA this is the flux through the curved sides of the cylinder

Ф₁ = ∫₋₁₅⁰EdAcos0 + ∫₀¹⁵EdAcos0 (since the area is parallel to the electric field)

Ф₁ = ∫₋₁₅⁰EdA + ∫₀¹⁵EdA  

Ф₁ = E∫₋₁₅⁰dA + E∫₀¹⁵dA

= E∫₋₁₅⁰2πrdx + E∫₀¹⁵2πrdx

= E2πr∫₋₁₅⁰dx + E2πr∫₀¹⁵dx

= E2πr[x]₋₁₅⁰ + E2πr[x]¹⁵₀

= E2πr[0 -(-15)] + E2πr[15 - 0]

= (-400 N/C)2πr[15]  + (+400 N/C)2πr[15]

= -800 N/Cπ(0.30 m )[0.15 m]  + 800 N/Cπ(0.30 m)[0.15]

= (-36επ  + 36επ)  Nm²/C = 0

the flux through the ends is

Ф₂ = ∫₋₁₅⁰E.dA + ∫₀¹⁵E.dA

= ∫₋₁₅⁰EdAcos0 + ∫₀¹⁵EdAcos0 (since the area is parallel to the electric field)

= ∫₋₁₅⁰EdA + ∫₀¹⁵EdA

= E∫₋₁₅⁰dA + E∫₀¹⁵dA

= (-400 N/C)πr² + (400 N/C)πr²

= 0

So, the total flux equals Ф = Ф₁ + Ф₂ = 0 + 0 = 0 Nm²/C

Which properties are characteristics of non metals

Answers

Non - Metals:

Non- metals are bad conductor of electricity ( except Graphite ).

Non- metals are also bad conductor of heats. ( except diamond )

Non - metal are neither malleable nor ductile. They are brittle.

Non-metal are not strong.

Non-metal are not sonorous.

Some terms:

★ Malleable: This means that metals can be beaten into thin sheets with hammer.

★ Ductile: This means that metals can be drawn into thin wires.

★ Brittle: This means that non-metal break into pieces on hammering.

★ Sonorous: This means capable of producing a ringing sound.

A steam power plant produces 50MW of net work while burning fuel to produce 150MW of heat energy at the high temperature. Determine the cycle thermal efficiency and the heat rejected by the cycle to the surroundings.

Answers

[tex]Nth[/tex] =[tex]\frac{W net, out}{Qh}[/tex]

50MW is our net output.

Then, we plug it in.

= [tex]\frac{50MW}{150MW}[/tex] = 0.333 or 33.33%

W net, out = Qh - Ql

Ql = Qh - W net,out

Plug the values in.

Then, it becomes:

= 150MW - 50 MW

= 100MW

Thus, the cycle thermal efficiency is 33.33% and the heat rejected is 100MW.

100 MW of the cycle thermal efficiency and the heat is thermal energy rejected by the cycle to the surroundings.

What is  thermal energy?

The energy present in a system that determines its temperature is referred to as thermal energy. Thermal energy flows as heat. Thermodynamics is a whole field of physics that studies how heat is transmitted across various systems and how work is performed in the process.

N = W/Q

50 MW is our net output.

Then, we plug it in.

= 50/150  = 0.333 or 33.33%

W net, out = Qh - Ql

Ql = Qh - W net,out

Plug the values in.

Then, it becomes:

= 150 MW - 50 MW

= 100 MW

Thus, the cycle thermal efficiency is 33.33% and the heat rejected is 100 MW

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The temperature of the air in a valley begins to increase after the sun comes up and heats the valley floor. What will
happen to the velocity of sound in this valley?
-The velocity will increase
-The veocity will decrease
-The velocity will not change
-The velocity will drop to zero.​

Answers

Explanation:

I think it will increase a little bit ... just image ... if the temperature is 0, the velocity will be 0 too. because the vibration of atom is so weak and the sound cant progation.

Answer:

The velocity will increase.

Explanation:

Wave velocity and the temperature of the medium are directly proportional so if the temperature increases, the velocity will increase.

When only ________ acts on an object's mechanical energy is conserved.
A.) Gravity
B.) Friction
C.) Air resistance
D.) Momentum

help ASAP

Answers

Answer:

Gravity

Explanation:

When the crest of one wave passes through the trough of another wave, ____ takes place. A. resonance B. diffraction C. constructive interference D. destructive interference

Answers

A. resonance hope this helps

When the crest of one wave passes through the trough of another wave, destructive interference takes place.

What is the crest of a wavelength?

The crest and trough of a wave, respectively, are its highest and lowest surface portions. The wave height is the vertical distance between the peak and trough. The wavelength is the horizontal separation between two consecutive crests or troughs.

When the crest of one wave passes through the trough of another wave, interference takes place.

This interference can be constructive, where the amplitudes of the waves add up, resulting in a larger wave, or destructive, where the amplitudes of the waves cancel out, resulting in a smaller wave or no wave at all.

The type of interference that occurs depends on the relative amplitudes, wavelengths, and phases of the two waves.

Therefore, destructive interference takes place when the crest of one wave passes through the trough of another wave.

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Gamma radiation can be significantly reduced by…

A sheet of paper

Air

A 3 mm thickness of aluminium

Several cm of lead

Answers

Answer:

Several cm of lead

Explanation:

A projectile is launched with an initial velocity of 25 m/s at an angle of 30° above the horizontal. The projectile reaches maximum height at point p then falls to point a, which is 65 m below the cliff. What is the horizontal distance that it travels (labeled x in the diagram)

Answers

Answer:

x ≈ 56 m

Explanation:

vertical initial velocity =[tex]v_{0y}(t)[/tex] = 25 m/s* sin(30°)= 12.5 m/s

height = h

[tex]h =v_{0y}t+\frac{at^{2}}{2} \\\\65m = 12.5m/s*t + \frac{9.8m/s^{2}*t^{2}}{2} \\\\t=2.584 s[/tex]

t- time is found solving quadratic equation.

horizontal velocity = [tex]v_{0x}=25m/s*cos(30^{o})=21.65 m/s[/tex]

Horizontal velocity is constant, so distance [tex]x=v_{0x}*t =21.65 m/s *2.584 s=55.9 = 56 m[/tex]

The horizontal distance travelled by the object will be "111.07 m".

According to the question,

[tex]u_v = u sin\Theta[/tex]

    [tex]= 25 \ sin30^{\circ}[/tex]

    [tex]= 12.5 \ m/s[/tex]

As we know,

→  [tex]s = ut +\frac{1}{2} at^2[/tex]

 [tex]-y = u_vt-\frac{1}{2}gt^2[/tex]

[tex]-65 =12.5t - \frac{1}{2}\times 9.8t^2[/tex]

   [tex]0 = 4.9t^2-12.5t-65[/tex]

    [tex]t = \frac{12.5 \pm \sqrt{(-12.5)^2-4\times 4.9\times (-65)} }{2\times 4.9}[/tex]

       [tex]= 5.13 \ s[/tex]

hence,

The horizontal distance will be:

→ [tex]u_x = ucos \Theta[/tex]

       [tex]= 25 cos 30^{\circ}[/tex]

       [tex]= 21.65 \ m/s[/tex]

or,

→ [tex]x = 21.65\times 5.13[/tex]

     [tex]= 111.07 \ m[/tex]

Thus the response above is right.  

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Distance travelled can be found from the
A area under a velocity-time graph
B area under an acceleration-time graph
C gradient of a force-time graph
D gradient of a velocity-time graph

Answers

Answer:

A

Explanation:

This is because distance traveled (i.e. displacement) is the integral of the velocity function, and velocity is the first derivative of the displacement function. To put this in perspective, the area bounded by a curve can be found by taking the integral of the equation of the curve, taking values on the x-axis as limits.

Your bone structure, metabolism and body fat distribution all contribute to your ______ A.Body type B. Height C. Energy levels D. Exercise habits

Answers

Answer:

Maybe [A]

Explanation:

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I got a tutor to help me with biology, chemistry physics and algebra. Miles wants to write the equation for photosynthesis. The diagram below represents one of the molecules in the equation,HH-C-0-HC-0H-O0-HH0-HH0-HWhich chemical formula reflects the diagram?6012H6C6C12H60Mark this and turnSave and ExitNextSubmit Which choice is equivalent to the product below when x>0? The adjusted trial balance for China Tea Company at December 31, 2021, is presented below: Accounts Debit Credit Cash $16,000 Accounts receivable 162,000 Prepaid rent 10,000 Supplies 31,000 Equipment 370,000 Accumulated depreciation $129,000 Accounts payable 11,000 Salaries payable 3,500 Interest payable 1,900 Notes payable (due in two years) 37,000 Common stock 210,000 Retained earnings 176,100 Dividends 27,000 Service revenue 360,000 Salaries expense 150,000 Advertising expense 75,000 Rent expense 18,000 Depreciation expense 32,000 Interest expense 2,500 Utilities expense 35,000 Totals $928,500 $928,500 Required:Prepare an income statement for China Tea Company for the year ended December 31, 2021:a A room is 20 feet by 25 feet with a 10-foot ceiling. If Mickey paints the walls and the ceiling, how much surface area will he cover? Think, What area ISN'T Micky covering and subtract out that area... A financial bubble starts to inflate when:________ a) investors become irrationally optimistic that an asset's price will continue to rise. b) investors become irrationally pessimistic that an asset needs to be sold immediately. c) a good experiences a rise in demand that is unexplained, increasing its price. d) inflation begins to accelerate, and monetary and fiscal policy are ineffective at slowing its growth. A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and other features. The distribution of the number of months in service for the fleet of cars is bell-shaped and has a mean of 64 months and a standard deviation of 7 months. Using the empirical (68-95-99.7) rule, what is the approximate percentage of cars that remain in service between 43 and 50 months? Reading a play successfully requires:Select all that apply.O ignoring the stage directionsO making a list of all the charactersO paying close attention to hints and detailsO using your imagination Hi! 15+ points for this! :D1.Alex has $40, and Ellen has $24. Alex is saving $6 per day, and Ellen is saving $10 day. After how many days will Alex and Ellen have the same amount of money? 2.Kendra owns a restaurant. She charges $6.00 for two eggs and one piece of toast and $3.60 for one egg and one piece of toast. How much does Kendra charge per egg? How much per piece of toast? 3.A restaurant has one type of lemonade that is 30% sugar and another that is 10% sugar. How many gallons of each type does the restraint need to make 4 gallons of a lemonade mixture that is 15% sugar? 4.A scientist has a container of 2% acid solution and a container of 5% acid solution. How many fluid ounces of each concentration should be combined to make 25 fl oz of 3.2% acid solution? 16.The speed of a kayaker is 5.75 mi/h paddling with the river current and 3.25 mi/h paddling against it. What is the speed of the river current? Susan make $12 per hour babysitting and $24 per hour as a lifeguard. Her goal is to make at least $420. Write an inequality, graph the solution, and list three possible solutions25.Joe wants to fence a rectangular pen for his goats. The length of the pen should be at least 40 ft, and the distance around should be no more than 150 ft. Write a systems of inequalities and graph to represent the possible dimensions of the pen. A googol is the number 1 followed by 100 zeros. Earth's mass is 5.972 10 kilograms. How many Earths are needed to have a total mass of 1 googol kilograms? Choose all that give the correct explicit and recursive formula for the sequence. How is the minimum circuit ampacity for an air-conditioning condensing unit calculated?1) compressor amps + fan amps2) (compressor amps x 1.25) + fan amps3) compressor amps x fan amps4) (compressor amps + fan amps) x 1.25 Which of the x values are solutions to the inequality 4(2 x) > 2x 3(4x + 1)? Also known as Mount Godwin-Austen, K2 is the second highest mountain in the world. The mountain is 28,251 feet high and it is thought to be more difficult to climb than Mount Everest. When climbers arrive at the base, they are amazed by the steep rock face of the mountain and awed by the weather. The mountain is located on the border of China and Pakistan, which is in the Karakoram part of the Himalayan mountain range. Most climbers attempt to reach the top of K2 from Pakistan, but no one has ever tried to climb the mountain in the winter. Two people from an Italian expedition team were the first to reach the top of K2: Lino Lacedelli and Achille Compagnoni. They reached the summit, or the top of the mountain, in July, 1954. Since then, almost 300 people have managed to reach the top of the mountain.Which claim from the passage lacks supporting evidence?A. When climbers arrive at the base, they are amazed by the steep rock face of the mountain and awed by the weather.B. Most climbers attempt to reach the top of K2 from Pakistan, but no one has ever tried to climb the mountain in the winter.C. The mountain is located on the border of China and Pakistan, which is in the Karakoram part of the Himalayan mountain range.D. Two people from an Italian expedition team were the first to reach the top of K2: Lino Lacedelli and Achille Compagnoni.