A source of heat at 1000 K transfers 1000 kW of power to a power generation device, while producing 400 kW of useful work. Determine the second law efficiency of the system, if the environment is at 300 K.

Answers

Answer 1

Answer:

The value is [tex]\eta _2 = 0.57[/tex]

Explanation:

From the question we are told that

    The temperature of the heat source is [tex]T_s = 1000 \ K[/tex]

    The amount of power transferred is  [tex]P_s = 1000 \ kW = 1000 *10^{3} \ W[/tex]

      The work produced is  [tex]W = 400 \ kW[/tex]

       The temperature of the environment [tex]T_e = 300 \ K[/tex]

Gnerally the Carnot efficiency of the system is mathematically represented as

        [tex]\eta_c = 1 -\frac{T_e}{T_s}[/tex]

=>    [tex]\eta_c = 1 -\frac{300}{1000}[/tex]

=>      [tex]\eta_c = 0.7[/tex]

Generally the first  law efficiency of the system is mathematically represented as

            [tex]\eta _1 = \frac{W}{P_s}[/tex]

=>         [tex]\eta _1 = \frac{400}{1000}[/tex]  

=>         [tex]\eta _1 = 0.40[/tex]

Generally the second  law efficiency of the system is mathematically represented as

                [tex]\eta _2 = \frac{\eta_1}{\eta_c}[/tex]

=>               [tex]\eta _2 = \frac{0.4}{0.7}[/tex]

=>               [tex]\eta _2 = 0.57[/tex]


Related Questions

for two vectors A and B, if A×B =6i+2j+5k, A.B=-13, A+B=-2i+j+2k and magnitude of vector A is 3. find the two vectors A anf B​

Answers

Two vectors are parallel when the angle between them is either 0° (the vectors point in the same direction) or 180° (the vectors point in opposite directions).

What is vectors ?

In both mathematics and physics, the term "vector" is used informally to describe certain quantities (also known as "scalars") that cannot be described by a single number or by the constituent parts of some vector spaces.

Historically, vectors were introduced in geometry and physics (usually in mechanics) for things like displacements, forces, and velocity that have both a magnitude and a direction. Similar to how lengths, masses, and time are represented by real numbers, these quantities can be thought of as geometric vectors.

Tuples, which are finite sequences of numbers with a definite length, are also referred to as vectors in some settings.

Tuples and geometric vectors may both be added to and scaled, and the idea of a vector space is a result of these vector operations.

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Exercising helps reduce?

Answers

Answer:

stress,depression and anxiety by improving self esteem.

Exercise can increase self-confidence improve your mood, help relax you, and lower symptoms of mild depression and anxiety. Exercise can also improve your sleep which is often disrupted by stress, depression, and anxiety.

how to microscope help discovering viruses?

Answers

Answer: because it makes it bigger so scientists would discover more about viruses

Explanation:

parar 7. Keira starts at position x = 23 m along a coordinate axis. She then undergoes a displacement of -45 m. What is her final position? nood A coordinate​

Answers

Answer: x=-22

Explanation:

f=final position

-45=f-23

-45+23=f

f=-22

x=-22

Two 2.9 kg physical science textbooks on a bookshelf are 0.14 m apart. What is the magnitude of the gravitational attraction between the books?

Answers

Taking into account the Universal Law of Gravitation, the magnitude of the gravitational attraction between the books is 2.86×10⁻⁸ N.

Universal Law of Gravitation

The Universal Law of Gravitation establishes that bodies experience a force of attraction towards other bodies with mass, called gravitational force.

The Universal Law of Gravitation states that the gravitational force between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance that separates them.

Mathematically it is expressed as follows:

[tex]F=G\frac{Mm}{d^{2} }[/tex]

where:

G is the universal gravitational constant, with a value of 6.67×10⁻¹¹ [tex]\frac{Nm^{2} }{kg^{2} }[/tex].M and m are the masses of the bodies that interact.d is the distance that separates them.

Magnitude of the gravitational attraction between the books

In this case, you know:

G= 6.67×10⁻¹¹ [tex]\frac{Nm^{2} }{kg^{2} }[/tex]M= m= 2.9 kgd= 0.14 m

Replacing in the Universal Law of Gravitation:

[tex]F=6.67x10^{-11}\frac{Nm^{2} }{kg^{2} } \frac{2.9 kgx2.9 kg}{(0.14 m)^{2} }[/tex]

Solving:

[tex]F=6.67x10^{-11}\frac{Nm^{2} }{kg^{2} } \frac{8.41 kg^{2} }{0.0196 m^{2} }[/tex]

F= 2.86×10⁻⁸ N

Finally, the magnitude of the gravitational attraction between the books is 2.86×10⁻⁸ N.

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A certain atom has only three energy levels. From lowest to highest energy, these levels are denoted n = 1, n = 2, and n = 3. When the atom transitions from the n = 3 level to the n = 2 level, it emits a photon of wavelength 800 nm. When the atom transitions from the n = 2 level to the n = 1 level, it emits a photon of wavelength 200 nm. What is the wavelength of the photon emitted when the atom transitions from the n = 3 level to the n = 1 level?A. 1000 nm
B. 600 nm
C. 500 nm
D. 160 nm

Answers

Answer:

D. 160 nm

Explanation:

The energy released from n = 3 to n = 1 must be equal to the sum of energies released from n = 3 to n = 2 and from n = 2 to n = 1. Therefore,

Energy of Photon from 3 to 1 = Energy of Photon from 3 to 2 + Energy of Photon from 2 to 1

[tex]\frac{hc}{\lambda} = \frac{hc}{\lambda_{1}} + \frac{hc}{\lambda_{2}}\\\\\frac{1}{\lambda} = \frac{1}{\lambda_{1}} + \frac{1}{\lambda_{2}}[/tex]

where,

λ = wavelength of photon released from 3 to 1 = ?

λ₁ = wavelength of photon released from 3 to 2 = 800 nm

λ₂ = wavelength of photon released from 2 to 1 = 200 nm

Therefore,

[tex]\frac{1}{\lambda} = \frac{1}{800\ nm} + \frac{1}{200\ nm}\\\\\frac{1}{\lambda} = 0.00625 nm^{-1}\\\\\lambda = \frac{1}{0.00625 nm^{-1}}\\\\\lambda = 160 nm[/tex]

Therefore, the correct option is:

D. 160 nm

what is the amount of matter in an object is called?​

Answers

Answer:

mass

Explanation:

Answer: Mass is the amount of mass an object contains. Mass is measured using a scale. Volume is the amount of space matter takes up.

hope this help!! :) :)

A wire is carrying current vertically downward. What is the direction of the force due to Earth's magnetic field on the wire?
A wire is carrying current vertically downward.
What is the direction of the force due to Earth's magnetic field on the wire?
a) horizontally towards the east
b) horizontally towards the west
c) horizontally towards the south
d) horizontally towards the north vertically upward

Answers

Answer: The correct option is A ( horizontally towards the east)

Explanation:

Magnetic field is a region around a magnet or a current- carrying conductor, where a magnetic force is experienced. The magnetic effect of electric current was first discovered in the early 1820 by Oersted. Using a wire that had current flowing through it and a pivoted magnetic needle, he discovered that the direction of deflection depended on the direction of the current and whether the wire was above or below the needle.

From the way the needle turns when current when current carrying wire is held parallel to it, he therefore concluded that:

--> a current has magnetic field all round it,

--> the magnetic field is in a direction perpendicular to the current.

The above discovery was now modified in Fleming's left hand rule which states that when conductor carrying current is placed in a magnetic field, the conductor will experience a force perpendicular to both the field and the flow of current.

Therefore from the question, a vertical wire carrying current in DOWNWARD direction is placed in a HORIZONTAL magnetic field directed to the NORTH. The direction of the force on the wire is to the EAST.

On a displacement-time graph, what does a linear slope indicate?
A Velocity is changing.
B Velocity is fixed.
C The car is stationary.
D The car is moving forward.

Answers

Answer:

B

Explanation:

The slope (change in position over the change in time) represents the speed, or velocity. If the slope is linear, then that means that the velocity is not changing. It is like a constant rate. If you had a curvy line, then the change in position over change in time would also be changing, i.e. the velocity is changing.

question why if you keep dieing in zombies on cold war u think im gunna rev you. i just got the key and the d.i.e remote and am geting the wonder wepon. but soon as that door explode you so quick to grab it you die. played me like a fool. why the heck you keep tryna exfil on round 15 BOI IF YOU DONT WQBFUFHJEWFHFNQC! packapunched knife to tier 1 head aS BOI!!!

Answers

Answer:

??????? umm what r u saying??? kinda confusing..............what does question why if you keep dieing in zombies on cold war u think im gunna rev you. i just got the key and the d.i.e remote and am geting the wonder wepon. but soon as that door explode you so quick to grab it you die. played me like a fool. why the heck you keep tryna exfil on round 15 BOI IF YOU DONT WQBFUFHJEWFHFNQC! packapunched knife to tier 1 head aS BOI!!! mean????????

very very very confusing

Explanation:

plz mark brainlyist :()

In the space below, draw a falling stone with the following forces acting on it:
It’s weight, 8.0N
Air resistance, 2.4N
Please write the answer on a piece of paper.Giving brainliest

Answers

The free body diagram of the falling stone's motion involves the weight of the stone acting downwards and the air resistance acting upwards.

What is free body diagram?

A free-body diagram is a sketch of an object of interest with all the surrounding objects stripped away and all of the forces acting on the body shown.

the given forces on the falling stone include;

weight of the falling stone, W = 8.0 N, this force is acting downwards

Air resistance, R, = 2.4N, this is a frictional force resisting the stone motion. This force is acting upwards.

Free body diagram of the stone's motion

                                                ↑ R = 2.4 N

                                                Ф

                                                 ↓ W = 8.0 N

Thus, the free body diagram of the falling stone's motion involves the weight of the stone acting downwards and the air resistance acting upwards.

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g A raindrop charged to 10 mC experiences electric field of 10,000 V/m from a tip of a tree branch. What is the electric force acting on the raindrop

Answers

Answer:

The electric force acting on the raindrop is 100 N.

Explanation:

Given;

charge of the raindrop, Q = 10 mC = 0.01 C

electric field strength, E = 10,000 V/m = 10,000 N/C

The force acting on the raindrop is given as;

Electric Force = electric field strength x charge of the raindrop

F = EQ

F = (10,000 N/C) (0.01 C)

F = 100 N

Therefore, the electric force acting on the raindrop is 100 N.

A water-skier of mass 75.0 kg initially at rest is being pulled due east by a horizontal towrope. The rope exerts a force of 365 N (east). The water (and air) exerts a combined average frictional force of 190 N (in the opposite direction). How fast will the skier be moving after a distance of 38.0 m?

Answers

Answer:

The skier will be moving at 13.31 m/s.

Explanation:

To calculate the velocity of the skier we need to find the acceleration, as follows:

[tex] \Sigma F = ma [/tex]

[tex] F_{r} - F_{f} = ma [/tex]

Where:

[tex] F_{r}[/tex]: is the force due to the rope = 365 N

[tex] F_{f}[/tex]: is the combined average frictional force = 190 N

m: is the mass = 75.0 kg

[tex] a = \frac{365 N - 190 N}{75.0 kg} = 2.33 m/s^{2} [/tex]

Now, we can calculate the velocity of the skier by using the following kinematic equation:

[tex] v_{f}^{2} = v_{0}^{2} + 2ad [/tex]

Where:

[tex] v_{f}[/tex]: is the final velocity =?

[tex] v_{0}[/tex]: is the initial velocity = 0 (the skier is initially at rest)

d: is the distance = 38.0 m

[tex] v_{f} = \sqrt{2*2.33 m/s^{2}*38.0 m} = 13.31 m/s [/tex]

Therefore, the skier will be moving at 13.31 m/s.

I hope it helps you!                                                                                  

Jonas has a 10.0 kg box, which he places on a scale inside an elevator. When the
elevator begins to move, the scale shows that the box weighs 83.4 N. What is the
magnitude and direction of the elevator's acceleration?

Answers

Answer:

a = - 1.47 [m/s²], descending or going down

Explanation:

To solve this problem we must use Newton's second law which tells us that the sum of forces on a body is equal to the product of mass by acceleration.

∑F = m*a

where:

∑F =  Forces applied [N]

m = mass = 10 [kg]

a = acceleration [m/s²]

Let's assume the direction of the upward forces as positive, just as if the movement of the box is upward the acceleration will be positive.

By performing a summation of forces on the vertical axis we obtain all the required forces and other magnitudes to be determined.

[tex]-m*g + N = m*a\\[/tex]

where:

g = gravity acceleration = 9.81 [m/s²]

N = normal force measured by the scale = 83.4 [N]

Now replacing:

[tex]-(10*9.81)+83.4=10*a\\-14.7=10*a\\a=-1.47[m/s^{2} ][/tex]

The acceleration has a negative sign, this means that the elevator is descending at that very moment.

An object travels a distance of 350 km at a rate of 25 m/s. What is the
time it takes to do that?

Answers

Answer:

t = 1400 s

Explanation:

Given that,

Distance covered, d = 350 km = 350000 m

Speed of the object, v = 25 m/s

We need to find the time it takes to do that. Let the time is t. The formula for the speed of an object is given by :

v = d/t

i.e.

[tex]t=\dfrac{d}{v}[/tex]

Putting all the values,

[tex]t=\dfrac{350000}{25}\\\\=1400\ s[/tex]

So, the time taken by it is 1400 seconds.

A person with a bacterial infection is taking amoxicillin, which is an antibiotic. The bacteria that are causing the infection have mutated and fight off the amoxicillin.

Which best summarizes this mutation?

Answers

Answer:

I’m pretty sure it’s B. It is harmful to the person and beneficial to the bacteria.

Explanation:

I’m taking the test right now. But if you think about it the bacteria is fighting off the medicine to which means the bacteria will just keep growing. So I’m 97% sure it’s B. Good luck you can do it don’t stop believing in yourself!!!!!! Hope I helped. And remember at the end of the day all that matters is love and happiness not grades!!!!!!!

Answer:

Answer is B!

Explanation:

I took the cumulative exam and got 100%


Neither past failures nor past successes predict future outcomes, yet we often act on
the basis of
O distorted feedback
O obsolete information
O social expectations
O perfectionism

Answers

In most cases, the actions of people could be based on distorted feedback.

How do we see ourselves?

We know that self perception and self concept is very important. In psychology, it is often very vital to deal with how a person sees himself as this could be the catalyst of the actions of the person. Let us also recall that people do not often act in isolation of the past. This is why some people are said to be the prisoners of the past. They can not just let go of their past failings and mistakes This could have a very bad impact on then future endeavors of such a person.

Let us put this in the context of our discussion. It is common perception that the past of a person could determine the current or future performances of a person. This is common in recruitment exercises.

This implies that when people tend to act, they tend to act based on distorted feedback.

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Alex kicks a soccer ball with a force of 250 N. The force is applied to the soccer ball for 0.05 seconds. What is the impulse applied to the ball?

Answers

Answer:

12.5 Ns.

Explanation:

From the question given above, the following data were obtained:

Force (F) = 250 N.

Time (t) = 0.05 s

Impulse =?

Impulse can be obtained by using the following formula:

Impulse = force × time

Impulse = 250 × 0.05

Impulse = 12.5 Ns

Thus, the Impulse applied to the ball is 12.5 Ns.

A copper block of mass 0.75 g is removed from a furnace and quickly transferred into a glass beaker of mass 300.0 g containing 200.0 g of water. The temperature of the water rises from 12.0 °C to 27.0 °C. What was the temperature of the furnace?​

Answers

The temperature of the furnace is 585-degree Celcius.

An expression for hotness or coolness on any scale, including Fahrenheit and Celsius, is called a temperature. Heat energy will logically go from a hotter (body with a higher temperature) to a colder (body with a lower temperature) according to temperature (one at a lower temperature).

Food, beverages, agriculture, and medical care—for both people and animals—all depend heavily on temperature. Temperature also frequently affects our general health in a number of ways. In facilities used for medical cold storage, maintaining optimum temperatures is crucial. The Celsius and Kelvin scales are used in chemistry to express temperature. The Celsius temperature multiplied by 273.15 is the temperature on the Kelvin scale. Absolute zero, denoted by the number 0 K, is the lowest temperature that is conceivable.

instead of 0.75 g, I assume 75 g.

c, water = 4.18 j/g°C

c, glass = 0.84 j/g°C

c, copper = 0.39 j/g°C

Q,given = Q,taken

mcΔt(copper) = mcΔt(glass) + mcΔt(water)

75*0.39*(t–27) = 300*0.84*(27–12) + 200*4.18*(27–12)

t = 585°C

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if you putsome sugar in tea,the tea will became sweet even if you do not stir it explain using idae of moving particals​

Answers

If it is not stirred, then the tea right at the surface of the solute becomes saturated with dissolved sugar molecules, meaning that it is more difficult for the additional solute to dissolve. The sugar cube would eventually dissolve because random motions of the tea molecules would bring enough fresh solvent into contact with the sugar, but the process would take much longer.

A solute is a material that dissolves in a solution. The amount of solvent present in fluid solutions is greater than the amount of solute. The two most common examples of solutions in daily life are salt and water. Salt is the solute because it dissolves in water. Major categories of solute include:

Gaseous

Liquid

Solid

a homogenous mixture made up of two or more different substances, where a solute is a substance that dissolves in a solvent. In relation to the amount of solvent (like salt) present, the concentration of a solute in a solution is a measurement of how much of that solute is dissolved in the solvent.

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You travel 25 meters east and then travel 48 meters south. What is your total displacement? Draw a picture what is happening.

Answers

Answer:  54.12 m

Explanation:

A woman walks 5 meters due east in 12 seconds and then back 2 meters in 7 seconds due west. Determine the person’s velocities for the 5 meters, the 2 meters and the person’s average velocity for the whole walk.

Answers

Answer:

Due east - 0.42mps

Due west - 0.29mps

Explanation:

So for the 5 meters 12s

and 2 meters 7s

for the first one we will do 12/5 = 2.4

for the second one 7/2 = 3.5

that is the amount of seconds per meter but we want meters per seconds so

5/12 = 0.42mps

2/7 = 0.29mps

Which is the luminous object?

Answers

The sun, fire and lamp because they generate their own light.

In a hydraulic garage lift, the smallpiston has a radius of 5.0 cm and the large piston has a radius of15 cm. What force must be applied on the small piston in order tolift a car weighing 20,000 N on the large piston?
a. 6.7 ×103 N
b. 5.0 ×103 N
c. 2.9 ×103 N
d. 2.2 ×103 N

Answers

Answer: Option  d) 2.2 × 10³ N is the correct answer

Explanation:

Given that;

radius of A₁ = 5.0

large piston has a radius of A₀ = 15 cm

Weight F₀ = 20,000 N

Force that must be applied to lift the weight F₁ = ?

Now we know that from Pascal Law

ΔP ⇒ F₁/A₁ = F₀/A₀

F₁ =  (F₀/A₀)A₁

where A = πr²

so we substitute

F₁ =  (20,000 / π(15²)) × π(5²)

= (20,000 / 706.8583) × 78.5398

= 2222.22 ≈ 2.2 × 10³ N

Therefore Option  d) 2.2 × 10³ N is the correct answer.

why do we use days and hours instead of seconds​

Answers

A more precisely defined value for the measurement of a second is now necessary due to decades of technological and scientific advancements. Right now, the second serves as the foundational unit of time in the International System of Units (SI).

What is the time?

Time is the continuous progression of existence and events that take place in what seems to be an irrevocable order from the past through the present and into the future. This is one of the quantities that make up numerous measurements which are used to compare the lengths of events or even the gaps between them, order events in time, and measure the rates at which those quantities in the physical world or in conscious experience change. In relation to the four spatial dimensions, time is frequently considered a fourth dimension.

Although time is long gone to been a crucial topic for research in philosophy, theology, and science, any definition of time that is universally applicable and free of roundness has ever been reached by academics.

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Days and hours are often used as units of time instead of seconds because they are more practical and convenient for measuring longer durations.

There are a few reasons why we use days and hours instead of seconds in everyday life.

Days and hours are more intuitive for humans to understand. It is easier to conceptualize a day or an hour than it is to conceptualize a second. For example, we can say that it takes 24 hours to make a day, or that it takes 60 minutes to make an hour. These units of time are also more relatable to our daily lives.

Days and hours are more practical for many applications. For example, it is more practical to measure the length of a day or an hour than it is to measure the length of a second. This is because days and hours are longer units of time, and they are more divisible.

Days and hours are more compatible with our calendars and timekeeping systems. Our calendars are based on days and hours, and our timekeeping systems are also based on days and hours. This makes it easier to keep track of time and schedule events.

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A car approaches a train station with a speed of 24 m/s. A stationary train at the station sounds its horn which has a frequency of 166 Hz. What frequency of sound is heard by the car's driver

Answers

Answer:

178.5 Hz

Explanation:

Given that a  car approaches a train station with a speed of 24 m/s. A stationary train at the station sounds its horn which has a frequency of 166 Hz. What frequency of sound is heard by the car's driver ?

Solution

Using doppler effect formula

F = f ( V/ V- v)

Where F = frequency of sound heard by the car

f = train frequency

V = speed of sound

v = car speed

F = 166 ( 343 ÷ ( 343 - 24 ) )

F = 166 ( 343 / 319 )

F = 166 × 1.0752

F = 178.489 Hz

F = 178.5 Hz

Therefore, the frequency of sound heard by the observer in the car is 178.5 Hz approximately.

a 1220 kg automobile travels at 75 m/s. what net work would be required to bring it to a stop ​

Answers

Answer:

W = - 3431250 [N]

Explanation:

In order to solve this problem, we must use the theorem of work and energy conservation. This theorem tells us that the initial mechanical energy of a body plus the work done on this body must be equal to the final mechanical energy of the body. We must remember that the mechanical energy of a body is equal to the sum of kinetic energies plus potential energy plus elastic energy.

In this problem, we only have kinetic energy.

[tex]E_{1}+W_{1-2}=E_{2}\\where:\\E_{1}=E_{pot}+E_{kine}+E_{elas}\\E_{pot} = 0\\E_{elas}=0\\E_{kine}=\frac{1}{2} *m*v^{2}[/tex]

And we have:

m = mass = 1220 [kg]

v = velocity = 75 [m/s]

As the carriage stops the final kinetic energy is zero.

Now replacing:

[tex]\frac{1}{2} *1220*(75)^{2} +W_{1-2}=0\\W_{1-2}= - 3431250[N][/tex]

Note: The negative force means that the force has to be carried out by the carriage. That is, no external force acts on the car to stop it.

Two friends grab different sides of a textbook and pull with forces of 6.7 N to the east and 4.4 N to the west, respectively. What would be the magnitude and direction of the force a third friend would need to exert on the textbook in order to balance the other two forces?

Answers

Explanation:

This equation for acceleration can be used to calculate the acceleration of an object that is acted on by a net force. For example, Xander and his scooter have a total mass of 50 kilograms. Assume that the net force acting on Xander and the scooter is 25 Newtons. What is his acceleration? Substitute the relevant values into the equation for acceleration:

Answer:

a=Fm=25 N50 kg=0.5 Nkg

The Newton is the SI unit for force. It is defined as the force needed to cause a 1-kilogram mass to accelerate at 1 m/s2. Therefore, force can also be expressed in the unit kg • m/s2. This way of expressing force can be substituted for Newtons in Xander’s acceleration so the answer is expressed in the SI unit for acceleration, which is m/s2:

a=0.5 Nkg=0.5 kg⋅m/s2kg=0.5 m/s2

What kinds of forces can act on an object

Answers

Gravity could act on an object

In your opinion, to whom must you learn the explanation of the biological changes and sexual urges first, especially the sexual responses? Why?
Thank you for your answer.KeepSafe♥️​

Answers

That’s a tough question it kinda varies for everyone I wouldn’t say my mom because that would’ve been really awkward and weird for me because I don’t have a good relationship with her at all. and I wouldn’t say school either because those are your teachers you see every day and they’re bad at explaining stuff they don’t even teach you anything I think the best person is your doctor. They know everything and can answer really good questions that some teachers may not be able to and they’d tell you everything and although it’d be awkward I think your doctor is the best person to explain stuff like that and you wouldn’t feel weird asking questions like you would if it were your teacher in front of a class.
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