The ratio of the speed of light in a vacuum to the speed of light in a given medium isone, since the speed of light is constantthe index of refraction3E+08 meters/secondSnell's Lawtotal internal reflection

Answers

Answer 1

le inser is totally!: The ratio of the speed of light in a vacuum to the speed of light in a given medium is NOT one, since the speed of light changes when it passes through a medium with a different refractive index.

The speed of light in a vacuum is approximately 3.00 x 10^8 meters per second, and this value is considered to be a fundamental constant of nature. However, when light passes through a medium such as air, water, or glass, its speed changes depending on the optical properties of the medium. This change in speed is described by the refractive index of the medium, which is defined as the ratio of the speed of light in a vacuum to the speed of light in the medium.

Snell's Law describes the relationship between the angles of incidence and refraction for a light ray passing through the boundary between two media with different refractive indices. Total internal reflection occurs when a light ray traveling in a medium with a high refractive index is incident on a boundary with a medium of lower refractive index at an angle greater than the critical angle, causing the ray to be reflected back into the original medium rather than refracted into the second medium.

Answer 2

The ratio of the speed of light in a vacuum to the speed of light in a given medium is known as the index of refraction. This ratio is always equal to one in a vacuum since the speed of light is constant at 3E+08 meters/second.

Snell's Law is used to calculate how light refracts or bends when it passes through different mediums with varying indices of refraction. When the angle of incidence is greater than the critical angle, total internal reflection occurs, causing all of the light to reflect back into the original medium instead of refracting into the second medium.
The index of refraction is defined as the ratio of the speed of light in a vacuum to the speed of light in a given medium. It can be expressed as n = c/v, where n is the index of refraction, c is the speed of light in a vacuum (approximately 3E+08 meters/second), and v is the speed of light in the medium. Snell's Law relates the angles and indices of refraction when light passes from one medium to another. Total internal reflection occurs when the angle of incidence is greater than the critical angle, causing all light to be reflected within the medium.

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Related Questions

A bowling ball weighing 71.2 N is swinging like a pendulum at the end of a 3.8 m rope.
As the ball swings through its lowest point, its speed is measured at 4.2 m/s. What is
the magnitude and direction of the acceleration of the ball at this point?
A. 4.64 m/s, upward
B. 4.64 m/s, downward
C. 5.16 m/s, upward
D. 5.46 m/s, downward

Answers

Answer:

A

Explanation:

1 An airplane travels east at a velocity of 250 m/s and at the same time is blown north
with a velocity of 50 m/s.
Draw a vector diagram of the velocities, including the resultant velocity of the
airplane.
You should include labels and axes values on your diagram.

Answers

Answer:

Hi.Thank you for the points.

The gas law for an ideal at absolute temperature (in kelvins), pressure Pin atmospheres)and volume Vinters PV = ART, Where is the number of males of the - 0.0671 gal constant. Suppose that, at a certain instant, Postm and is increasing at a rate of 0.11 atm/min and verzand it decreasing at a rate of 0.27 min. Find the rate of change of with resped To time (in/min) at that instantin = 10 mo [Round your answer to four decimal places) K/min mit A

Answers

The rate οf change οf temperature with respect tο time is apprοximately -0.4223 K/min.

How to find the rate οf change οf temperature ?

Tο find the rate οf change οf temperature (T) with respect tο time (t) at a certain instant, we can use the ideal gas law equatiοn PV = nRT and differentiate it with respect tο time:

PV = nRT

Taking the derivative with respect tο time:

P(dV/dt) + V(dP/dt) = nR(dT/dt)

Since we are interested in finding dT/dt, we can rearrange the equatiοn:

(dT/dt) = (P(dV/dt) + V(dP/dt)) / (nR)

Substituting the given values:

P = 7.0 atm

dV/dt = -0.17 L/min (negative sign indicates a decrease in vοlume)

dP/dt = 0.11 atm/min

n = 10 mοl

R = 0.0621 L·atm/(mοl·K)

(dT/dt) = (7.0 atm * (-0.17 L/min) + 12 L * 0.11 atm/min) / (10 mοl * 0.0621 L·atm/(mοl·K))

Calculating the rate οf change οf temperature:

(dT/dt) ≈ -0.4223 K/min

Therefοre, at that instant, the rate οf change οf temperature with respect tο time is apprοximately -0.4223 K/min.

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The width of the elements of a linear phased array are usually
____ to _____ the wavelength.

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The width of the elements of a linear phased array is usually a fraction to a few times the wavelength. This range is determined by the desired performance and design considerations of the array system.

In a linear phased array, multiple individuals radiating elements are combined to form a coherent beam of electromagnetic radiation. Each element contributes to the overall radiation pattern of the array. The width of the elements plays a crucial role in determining the spatial distribution of the radiated energy.
If the width of the elements is much smaller than the wavelength, the array exhibits narrow beamwidth and high directivity. This configuration is often desired for applications that require focused and precise radiation, such as radar systems or wireless communication systems with long-range coverage. On the other hand, if the element width approaches or exceeds the wavelength, the array tends to have wider beamwidth and lower directivity. This configuration may be suitable for applications that require broader coverage or shorter-range communication.
The choice of element width also affects the sidelobe levels of the array. Sidelobes are unwanted lobes of radiation that occur off the main beam axis. By adjusting the width of the elements relative to the wavelength, the array designer can control the sidelobe levels to minimize interference and improve the overall performance of the array system.

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suppose object a is electrically charged and is experiencing forces from three other charged objects. how should the total effects of those three objects be combined in order to find the total electric force?

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Calculated for object A as well as the other three objects are their respective electric force vectors. The total electric force is then calculated by adding these three force vectors together using vector addition.

Neutral matter becomes charged whenever electrons are moved between objects. Conduction, polarization, and friction are three possible methods for this to happen.

Two items with the same charge repel one another, as opposed to two objects with opposite charges being attracted to one another. In other words, a positively charged object will repel another positively charged object. The two items will be forced apart by this repulsive force.

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What is the polarity of each of the earths magnetic poles ? Explain you answer

Answers

Answer:

When you put un-like poles together (South facing North) you can feel magnetic attraction. In the Northern Hemisphere, your compass needle points North, but if you think about it for a moment, you will discover that the magnetic pole in the Earth's Northern Hemisphere has to be a South polarity.

I need the definition or I won't graduate help and thank you

I need the definition or I won't graduate help and thank you

Answers

Answer:

1. a 2.c 3 b

Explanation:

Answer:

3=b 2=c 1=a

Explanation:

Small blocks, each with mass m , are clamped at the ends and at the center of a rod of length L and negligible mass.
a. Compute the moment of inertia of the system about an axis perpendicular to the rod and passing through the center of the rod. Express your answer in terms of the given quantities.
b. Compute the moment of inertia of the system about an axis perpendicular to the rod and passing through a point one-fourth of the length from one end. Express your answer in terms of the given quantities.

Answers

A)  the moment of inertia of the system about an axis perpendicular to the rod and passing through the center of the rod is  (1/6) * m * L^2. B)  the moment of inertia of the system about an axis perpendicular to the rod and passing through a point one-fourth of the length from one end is (7/24) * m * L^2

a. To compute the moment of inertia of the system about an axis perpendicular to the rod and passing through the center of the rod, we can use the parallel axis theorem. The moment of inertia of each block about its center of mass is given by:

I = (1/12) * m * L^2

Since there are two blocks, the total moment of inertia of the system about an axis perpendicular to the rod and passing through the center of the rod is:

I_total = 2 * I_cm + I_rod

where I_cm is the moment of inertia of each block about its center of mass, and I_rod is the moment of inertia of the rod about its center of mass. Since the rod has negligible mass, its moment of inertia is:

I_rod = (1/12) * M * L^2 = 0

where M is the total mass of the system, which is 2m. Therefore, the total moment of inertia of the system is:

I_total = 2 * (1/12) * m * L^2 = (1/6) * m * L^2

b. To compute the moment of inertia of the system about an axis perpendicular to the rod and passing through a point one-fourth of the length from one end, we can again use the parallel axis theorem. The distance between the two axes is:

d = (1/4) * L

The moment of inertia of each block about an axis passing through its center of mass and perpendicular to the rod is:

I_cm = (1/12) * m * L^2

The moment of inertia of each block about an axis passing through the point one-fourth of the length from one end and perpendicular to the rod is:

I_1/4 = I_cm + m * d^2

The moment of inertia of the system about this axis is:

I_total = 2 * I_1/4 + I_rod

Substituting the values of I_cm, d, and I_rod, we get:

I_total = 2 * [(1/12) * m * L^2 + m * (1/4 * L)^2] + 0

Simplifying, we get:

I_total = (7/24) * m * L^2

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if the barge is made out of 4.6- cm -thick steel plate on each of its four sides and its bottom, what mass of coal can the barge carry in freshwater without sinking?

Answers

To determine the maximum mass of coal the barge can carry in freshwater without sinking, we need to consider its buoyancy and weight. Buoyancy is the force that allows the barge to float and is equal to the weight of the water displaced by the barge. The weight of the barge and its cargo must not exceed the buoyant force to prevent sinking.

Assuming the barge has a rectangular shape, we can calculate its volume using the formula V = l x w x h, where l is the length, w is the width, and h is the height of the barge. Let's assume the barge is 30 meters long, 10 meters wide, and 4 meters high. Therefore, the volume of the barge is V = 30 x 10 x 4 = 1200 cubic meters.

Since the barge is made of 4.6-cm-thick steel plates on each side and the bottom, we need to calculate the weight of the steel and subtract it from the buoyant force. The density of steel is approximately 7850 kg/m^3. The total surface area of the barge is (2 x 30 x 4 + 2 x 10 x 4 + 30 x 10) = 280 square meters. Therefore, the mass of the steel in the barge is:

mass of steel = density x volume x thickness
mass of steel = 7850 x 280 x 0.046
mass of steel = 97,724 kg

Next, we need to calculate the buoyant force acting on the barge. The density of freshwater is 1000 kg/m^3. Therefore, the weight of the water displaced by the barge is:

weight of water = density x volume
weight of water = 1000 x 1200
weight of water = 1,200,000 kg

Finally, we can calculate the maximum mass of coal the barge can carry in freshwater without sinking:

maximum mass of coal = weight of water - weight of barge and steel
maximum mass of coal = 1,200,000 - (97,724 + weight of coal)

Assuming the density of coal is approximately 1300 kg/m^3, we can calculate the volume of coal that the barge can carry:

volume of coal = (weight of coal) / (density of coal)

Substituting this in the previous equation and solving for the maximum mass of coal, we get:

maximum mass of coal = 1,200,000 - (97,724 + volume of coal x 1300)

Solving for the maximum volume of coal, we get:

volume of coal = (1,200,000 - 97,724) / 1300
volume of coal = 882.7 cubic meters

Therefore, the maximum mass of coal the barge can carry in freshwater without sinking is:

maximum mass of coal = volume of coal x density of coal
maximum mass of coal = 882.7 x 1300
maximum mass of coal = 1,146,510 kg

In conclusion, the barge can carry a maximum of 1,146,510 kg of coal in freshwater without sinking, assuming the barge has a rectangular shape with dimensions of 30 x 10 x 4 meters and is made of 4.6-cm-thick steel plates on each side and the bottom.

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a particle is projected from the surface of earth with a speed equal to 3 times the escape speed. when it is very far from earth, what is its speed?

Answers

Answer:

1/2 m v^2 = G M m / R         speed of object at surface of earth

v^2 = 2 G M / R        escape speed needed

V = 3 v     if original speed = 3 * escape speed

v^2 / 9 = 2 G M / R

v^2 = 18 G M / R    where v is initial speed

v^2 = G M / R  * (18 - 2) = 16 G M / R     very far from earth

v = (16 G M / R)^1/2

v = (16 * 6.67E-11 * 5.98E24 / 6.37E6)^1/2

v = 31650 m/s = 19.7 mi/sec

When a particle is projected from the surface of Earth with a speed equal to 3 times the escape speed, its final speed when very far from Earth will be 2 times the escape speed.


The escape speed is the minimum speed required for an object to overcome Earth's gravitational pull and move indefinitely away from it.

When a particle is projected with a speed 3 times the escape speed, it has more than enough energy to escape Earth's gravity.

As the particle moves away from Earth, it loses some of its kinetic energy due to Earth's gravitational force. Eventually, when the particle is very far from Earth, it will have lost an amount of kinetic energy equal to the escape speed.


Summary: When a particle is projected with a speed 3 times the escape speed and reaches a point very far from Earth, its speed will be 2 times the escape speed.

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what must you do to keep it in focus? what must you do to keep it in focus? increase the f -stop value. move the lens away from the sensor or film. decrease the f -stop value. move the lens closer to the sensor or film. none of the above.

Answers

C) Move the lens closer to the sensor or the film . Option (c) is the right           answer.

Assume that we are trying to take a picture or photograph of a moving object

as we know, the f-stop value tells us about the color of the image. That means it actually depicts that how dark is the image. would be. in simple words, it determines the amount of light that will be able to enter to the eye. Therefore, option a,b are incorrect.

Now the focus length of the camera is always fixed. Now let our object is moving away from the lens, then to keep it in focus, the camera must be moved closer to the object. This step is essential to keep focal length constant.

Hence, the correct option is (c).

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electrons are accelerated by a 1000-v potential drop. (a) calculate the de broglie wavelength. (b) calculate the wave- length of the x-rays that could be produced when these elec- trons strike a solid.

Answers

The de Broglie wavelength of the electron is 2.212 x 10-11 m.

What is Broglie wavelength?

The de Broglie wavelength is a concept in quantum mechanics which states that all matter has a wave-like nature, and can thus be described as a wave.

(a) The de Broglie wavelength (λ) of a particle is given by the equation: λ = h/p, where h is Planck's constant (6.626 x 10-34 J.s) and p is the momentum of the particle.
The momentum of an electron with a 1000-V potential drop is given by the equation p = eV/c,
where e is the electron charge (1.602 x 10-19 C) and c is the speed of light (2.998 x 108 m/s).
Therefore, the de Broglie wavelength of the electron is:
λ = h/(eV/c) = (6.626 x 10-34 J.s) / (1.602 x 10-19 C x 1000 V/2.998 x 108 m/s) = 2.212 x 10-11 m.

(b) X-rays are produced when high-energy electrons strike a solid.
The wavelength of the x-ray is inversely proportional to the energy of the electron.
The energy of the electron is equal to the potential drop, i.e. 1000 eV. Therefore,
the wavelength of the x-ray produced is: λ = hc/eV = (6.626 x 10-34 J.s x 2.998 x 108 m/s)/(1.602 x 10-19 C x 1000 eV) = 1.246 x 10-10 m.

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A person whose mass is 80 kg has a surface area on one foot of 0.05 m2. What pressure does the person exert on the ground if standing on both legs?

Answers

P=F/A

A=foot1+foot2

A=0.05m2+0.05m2 because it says by two foot

A=0.10m2

>>F=mg=80kg*9.81m/s2=784.8N

P=784.8N/0.10m2

P=7848Pa

earth's magnetosphere is generated by question 12 options: 1) dynamo-like motions in earth's interior. 2) nuclear fusion in earth's core. 3) nuclear fission in earth's core. 4) gravitational accretion.

Answers

Earth's inner movements resemble dynamos and produce the magnetosphere. The magnetosphere of Earth is a dynamic, networked system that reacts to solar, planetary, and interstellar circumstances.

The area surrounding a planet where the magnetic field of the planet is dominant is called a magnetosphere. All of the rocky planets in our solar system have magnetospheres, but Earth's is the strongest. The enormous, comet-shaped bubble that makes up Earth's magnetosphere has been essential to the planet's capacity to support life. This magnetic environment has protected life on Earth from its inception and continues to do so. The magnetosphere protects our planet from solar and cosmic ray radiation as well as the solar wind's steady stream of charged particles that stream off the sun, which may erode the atmosphere.

Due to the convective motion of charged,

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The weather of a region describes the region’s average temperature and precipitation over a long period of time.

True or False

Answers

Answer:

True!

Explanation:

Scientists usually state or determine the average temperature/precipitation over a long period of time. Several different tables or graphs are used to prove and check that this is true. Hope this helps!

Describe the three methods of thermal energy transfer and provide a sketch that depicts each:
Conduction:
Convection:
Radiation:

Answers

Answer:

a)the process by which heat or electricity is directly transmitted through the material of a substance when there is a difference of temperature

b)the movement caused within a fluid by the tendency of hotter and therefore less dense material to rise, and colder, denser material to sink under the influence of gravity, which consequently results in transfer of heat

c)radiation is the emission or transmission of energy in the form of waves or particles through space or through a material medium.


A light source has a frequency of 7.56 x 1014 Hz. What is the wavelength, in nanometers (nm), of this light when it passes through a prism of refractive index of 1.53?

Answers

Answer:

2nm

Explanation:

4. During which three months is the difference the same between average high temperature and average low temperature?

4. During which three months is the difference the same between average high temperature and average

Answers

Answer:

1 Inch and 20 F

Explanation:

what is the primary reason that we cannot observe galaxies that are 60 billion light years away from us?

Answers

The primary reason we cannot observe galaxies that are 60 billion light years away from us is that the age of the universe is approximately 13.8 billion years, which means that the light from those galaxies has not had enough time to reach us.

The speed of light is approximately 299,792 kilometers per second (or about 186,282 miles per second). Since the distance light travels in one year is defined as a light year, we can calculate the distance that light can travel in 13.8 billion years as follows:

Distance = Speed of light × Time

Distance = 299,792 km/s × 13.8 billion years × (365 days/year) × (24 hours/day) × (3600 seconds/hour)

Performing the calculation:

Distance = 299,792 km/s × 13.8 × 10^9 years × 365 days/year × 24 hours/day × 3600 seconds/hour

Distance ≈ 13.07 × 10^9 light years

The calculated distance is approximately 13.07 billion light years. Since the distance of galaxies 60 billion light years away exceeds this value, it means that the light from those galaxies has not had enough time to reach us yet. Therefore, we cannot observe galaxies that are 60 billion light years away from us due to the limited age of the universe.

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A boat is headed with a velocity of 18 meters/second toward the west with respect to the water in a river. If the river is flowing with a velocity of 2.5 meters/second in the same direction as the boat. What would be the magnitude of the boat’s velocity? A. 16.5 meters/second B. 20.5 meters/second C. 18 meters/second D. 2 meters/second E. 45 meters/second

Answers

Answer:

20.5

Explanation:

in this case, the two vectors are in the same direction, so they simply add:

total motion = 18m/s + 2.5m/s = 20.5m/s to the west

What happens when an object experiences friction?
A. Friction changes mechanical energy to heat energy
B. Friction changes mechanical energy to electrical energy.
C. Friction changes mechanical energy to pizza.
D. Friction changes mechanical energy to light energy

Answers

Answer:

its  A. because since heat energy means thermal i think it is A and also When friction acts between two surfaces that are moving over each other, some kinetic energy is transformed into heat energy.

Explanation: your welcome and i hope its right

If you run North for 5 meters and then East for 15 meters and then
South for 2 meters all in 22 seconds. What was your speed?
0 points

Answers

Answer:

1m/s

Explanation:

D = 22m

T = 22s

S = 22÷22

= 1 m/s

A man lifts a 4.300 kg stone vertically with his hand at a constant upward acceleration of 1.200 m/s2. what is the magnitude of the total force of the stone on the man's hand?

Answers

The magnitude of the total force of the stone on the man's hand is 1.43N

What is acceleration?

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics.

The direction of the net force acting on an object determines the direction of its acceleration.

Newton's Second Law's Second Law of Acceleration describes the magnitude of an object's acceleration.

Nis normal force exerted by stone on hand.

According to Newton's third law stone also exerted the same force.

⇒ N-mg= ma

⇒ N=1.3(9.8+1.2)

⇒ N=1.43newton

The magnitude of the total force of the stone on the man's hand is 1.43N

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What is a carrier wave?
O a wave used to heat up and cook food
a wave that transmits speech, music, and other signals
a wave used to heat up and cook food
O a wave that reflects off bone in an x-ray

Answers

Answer:

A wave that transmits speech, music, and other signals

Explanation:

Hope it helps

(Give a thank OR mark as brainliest if it's the right answer)

Answer:

a wave that transmits speech, music, and other signals :)

Explanation:

this is an opinion question but

explain why you think it is important to know the three different types of rocks.

Answers

AJAJAJAJ I just going to say what ever I think it is important because imagine you see a rock and think is a normal rock but it ends up being really rare and you can make a lot of money out of it

A bus traveling at 30 m/s accelerates at a constant rate of 2.4 m/s2 over a distance of 60 m.
What is its speed after accelerating?

Answers

Answer:

Speed is 34.5 m/s

Explanation:

From the third equation of motion:

\({ \boxed{ \sf{v {}^{2} = {u}^{2} + 2as}}}\)

v is final velocity, u is initial velocity, a is acceleration, s is displacement.

substitute:

\( {v}^{2} = {30}^{2} + (2 \times 2.4 \times 60) \\ {v}^{2} = 900 + 288 \\ {v} {}^{2} = 1188 \\ {v} = \sqrt{1188} \\ v = 34.5 \: m {s}^{ - 1} \)

if an ocean wave passes a stationary point every 3 seconds and has a velocity of 12 m/s what is the wavelength of the wave? can you tell what the amplitude of the wave is from this information?

Answers

The wavelength (λ) of a wave can be calculated using the formula:

λ = v / f

where v is the velocity of the wave and f is the frequency of the wave.

In this case, the wave passes a stationary point every 3 seconds (time period) and has a velocity of 12 m/s. The frequency (f) of the wave can be calculated as the reciprocal of the time period:

f = 1 / T

where T is the time period.

Substituting the values:

f = 1 / 3 s^(-1) = 1/3 Hz

Now we can calculate the wavelength:

λ = 12 m/s / (1/3 Hz) = 36 m

Therefore, the wavelength of the wave is 36 meters.

From the given information, we cannot determine the amplitude of the wave. The amplitude represents the maximum displacement of particles in the medium from their equilibrium position. It is not directly related to the wave's frequency or velocity. Additional information would be needed to determine the amplitude of the wave.

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which variable has the greatest effect on dynamic fluid forces? a. relative velocity of the object with respect to the fluid b. surface area of the object c. none of the above d. fluid density

Answers

The variable that has the greatest effect on dynamic fluid forces is the relative velocity of the object with respect to the fluid.

This is because dynamic fluid forces are influenced by the movement of the fluid around the object, and the relative velocity determines how fast the fluid is moving in relation to the object.

The surface area of the object also plays a role in fluid forces, but it is a less significant factor compared to the relative velocity.

Fluid density is not directly related to dynamic fluid forces, but it can affect the overall behavior of the fluid.

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Look at the Sankey diagram for a filament light bulb below. If the bulb is used in a desk lamp, what is the efficiency of the bulb?

Look at the Sankey diagram for a filament light bulb below. If the bulb is used in a desk lamp, what

Answers

Answer:

The question does not state how the answer is to be entered. I would use 10% because that is most common.

Explanation:

You are using 300 J of energy to get 30 J of light energy. The fact that you can account for the left over energy is not relevant.

Efficiency = Work Out / Work In

Efficiency = 30 J / 300 J  = 0.1

If you need this as a %, you can multiply by 100

Efficiency = 0.1 * 100 = 10%

______ is a synthesized form of the derivative of the grain fungus ergot.

Answers

Tryptophan is an essential amino acid for the body, it is also a constituent of proteins. It is one of the precursors of serotonin and thus allows to promote a good sleep and fight against depressive disorders. Tryptophan is mainly found in plant products because animals can not synthesize it.

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A monopolist encounters a linear demand curve should alwaysproduce at the point where the demand is unit elastic in order tomaximise profit. Do you agree? Explain in 500 words. Which philosophy promoted examinations within their civil service?- Legalism- Confucianism- Daoism- Hinduism 4. A phytoplankton lives in a pond that has a concentration of2mg/L of potassium. The phytoplankton absorbs 3 mL of pond watereach hour. The cell has a constant volume of 25 mL (it releases 3mL of Select all that applySelect the characteristics that researchers suspected the genetic material would have prior to the discovery that the genetic material was DNA.Multiple select question.ability to store informationaccurate replicationpasses from one generation to the nextuses a triplet codecomprised of nucleotides a blacksmith strikes a piece of metal with a hammer repeatedly. the metal slowly begins to glow as the temperature increases, and the metal becomes more malleable. which changes on a microscopic level led to the visible changes in the properties of the metal? (1 point) responses (2/3) x (5/4) =test pls help If Francis Lubbock was raising troops for the Confederacy (South), which group of people would he have NOT allowed? HELP Simplify: 2(3 4 7). Evaluate 8.3x + 7.5y when x = 3 and y = 4.8.3( blank) + 7.5( blank) = blank + 30.0= Answer? 25 POINTS NO CAP PLEASE HELP ME NEED RIGHT ANSWER What is the equation of this line? A: y=2x-3B: y=-1/2x-3C: y=-2x-3D: y=1/2x-3 Understanding metaphors used by organization members can be an important part of understanding an organization's culture because? install copy machines. Use the Learning Curve Excel template to answer the following questions: a. If the time required to install the first copy machine is estimated to be five hours, what is an estimate of the time rew technician to install the third and fourth copiers? Round your answers to one decimal place. For x=3 it takes For x=4 it takes b. If the learning rate changes to 55 or 90 percent, what is an estimate of the time required by a new technician to install the third and fourth copiers? Round your answers to one decimal place. For x=3 and a 55% LC, it takes For x=4 and a 55% LC, it takes For x=3 and a 90% LC, it takes hours For x=4 and a 90%LC, it takes hours Gaussian Distribution, 10 pts) Let XN(, 2) be a Gaussian random variable, which has the following probability density function: f(x)= exp( 2 2(x) 2) 21Find E(X) and Var(X) and show all the derivation steps. help please for a project which picture do I do for my film class. A potential energy diagram is shown.What is the total change in enthalpy of this reaction?25 KJ30 kJ35 KJ55 kJ Explain what it means to have a positive change, give an example. List the sides of Triangle ABC in order from longest to shortest if the angles of Triangle ABC have theindicated measures. (Hint: Find the angle measures first, then decide which sides are the longest.)Given:mZA= (9x +29)m/B= (9-35x)m/C = (10x + 2) in lecture it was discussed that the industrial revolution helped create the modern consumer society. group of answer choices true false A wave begins in the middle of the Pacific Ocean and travels 1700 km to Hawaiiat 3.7 km/hr. How many hours does it take the wave to get there?