A Young's interference experiment is performed with blue-green laser light. The separation between the slits is 0.500 mm, and the screen is located 3.24 m from the slits. The first bright fringe is located 3.30 mm from the center of the interference pattern. What is the wavelength of the laser light?

Answers

Answer 1

Answer:

λ = 509 nm

Explanation:

In order to calculate the wavelength of the light you use the following formula:

\(y=m\frac{\lambda D}{d}\)   (1)

where

y: distance of the mth fringe to the central peak = 3.30 mm = 3.30*10^-3 m

m: order of the bright fringe = 1

D: distance from the slits to the screen = 3.24 m

d: distance between slits = 0.500 mm = 0.500*10^-3 m

You first solve the equation (1) for λ, and then you replace the values of the other parameters:

\(\lambda=\frac{dy}{mD}\\\\\lambda=\frac{(0.500*10^{-3}m)(3.30*10^{-3}m)}{(1)(3.24m)}=5.09*10^7m\\\\\lambda=509*10^{-9}m=509nm\)

The wavelength of the light is 509 nm


Related Questions

HELP
Which statement best describes the motions of the planets around the Sun
due to gravity?
A. Without the Sun's gravity, the planets would stop moving.
B. Without the Sun's gravity, the planets would move off into space in
a straight line.
C. Without the planets' gravity, the Sun would travel through space in
an elliptical path.
OD. Without the planets' gravity, the Sun would expand and fall apart.

Answers

Without the Sun's gravity, the planets would stop moving because sun provides centripetal force to the planets.

Describes the motions of the planets around the Sun due to gravity?

A planet moves around the sun in a circular path due to gravitational force of attraction of the sun that provides the centripetal force. This centripetal force is responsible for circular motion of planet.

So we can conclude that without the Sun's gravity, the planets would stop moving because sun provides centripetal force to the planets.

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Answer:

B

Explanation:

Without the Sun's gravity, the planets would move off into space in

a straight line.

The efficiency of a carnot cycle is 1/6. If on reducing the temperature of the sink 75 degree Celsius, the efficiency becomes 1/3, determine the initial and final temperature between which the cycle is working.

Answers

Answer:

375 and 450

Explanation:

The computation of the initial and the final temperature is shown below:

In condition 1:

The efficiency of a Carnot cycle is \(\frac{1}{6}\)

So, the equation is

\(\frac{1}{6} = 1 - \frac{T_2}{T_1}\)

For condition 2:

Now if the temperature is reduced by 75 degrees So, the efficiency is \(\frac{1}{3}\)

Therefore the next equation is

\(\frac{1}{3} = 1 - \frac{T_2 - 75}{T_1}\)

Now solve both the equations

solve equations (1) and (2)

\(2(1 - T_2/T_1) = 1 - (T_2 - 75)/T_1\\\\2 - 1 = 2T_2/T_1 - (T_2 - 75)/T_1\\\\ = (T_2 + 75)/T_1T_1 = T_2 + 75\\\Now\ we\ will\ Put\ the\ values\ into\ equation (1)\\\\1/6 = 1 - T_2/(T_2 + 75)\\\\1/6 = (75)/(T_2 + 75)\)

T_2 + 450 = 75

T_2 = 375

Now put the T_2 value in any of the above equation

i.e

T_1 = T_2 + 75

T_1 = 375 + 75

= 450

Which is NOT a form of erosion?


a

Rivers moving dirt


b

Water running downhill, carving out the land and pushing dirt to the side

c

Water evaporating and condensing

d

Heavy winds blowing soil to other locations

HELP ASAP

Answers

Answer:

water evaporating and condensing, because that's the water cycle and it isnt eroding anything

A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?

Answers

The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².

To calculate the average acceleration of the motorcycle, we can use the formula:

Average acceleration = (final velocity - initial velocity) / time

First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.

Converting the final velocity:

Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s

Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:

Average acceleration = (21.67 m/s - 0 m/s) / time

To find the time taken to reach this velocity, we need to use the formula for average speed:

Average speed = total distance/time

Rearranging the formula:

time = total distance / average speed

Plugging in the values:

time = 50 m / 21.67 m/s ≈ 2.31 seconds

Now we can calculate the average acceleration:

Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²

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How would increasing the pressure of this reaction affect the equilibrium

How would increasing the pressure of this reaction affect the equilibrium

Answers

Explanation:

c because there is element

Answer:

C. H2 and N2 would react to produce more NH3

Explanation:

A.P.E.X

The radius of the circular path of an ion in a mass spectrometer is given by r=1/B √2Vaccelm/q. Use this equation to explain how a mass spectrometer is able to separate ions of different masses.

The radius of the circular path of an ion in a mass spectrometer is given by r=1/B 2Vaccelm/q. Use this

Answers

The mass spectrometer separates ions of different masses by utilizing the relationship between the strength of the magnetic field, the accelerating voltage, the charge-to-mass ratio of the ions, and the resulting radius of the circular path

What is the mass spectrometer?

From the formula in the question;

B is a symbol for the magnetic field's intensity as it is applied to the mass spectrometer.

The accelerating voltage used to move the ions is called Vaccelm.

The charge of the ion, specifically its charge-to-mass ratio (q/m), is represented by the letter q.

The mass spectrometer may selectively alter the radius of the circular route for various ions by varying the magnetic field's intensity (B). This makes it possible to spatially segregate ions with various masses based on their various radii. The ions' locations and masses can then be measured using detectors placed along the journey.

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Where is the near point of an eye for which a spectacle lens of power +2 D is prescribed for reading purpose?

Answers

The near point of a human eye is about a distance of 25 cm.

The closest distance that an object may be viewed clearly without straining is known as the near point of the eye.

This distance (the shortest at which a distinct image may be seen) is 25 cm for a typical human eye.

The closest point within the accommodation range of the eye at which an object may be positioned while still forming a focused picture on the retina is also referred to as the near point.

In order to focus on an item at the average near point distance, a person with hyperopia must have a near point that is further away than the typical near point for someone of their age.

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A roller coaster is at a peak of 20m and has a mass of 900kg. What is the potential energy of the roller coaster?
O 100000 J
10000 J
O 9.8 J
O 176400 J

Answers

The potential energy of the roller coaster is 176,400 J (joules).

The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.

In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).

Using the formula, we can calculate the potential energy:

PE = mgh

= (900 kg)(9.8 \(m/s^2\))(20 m)

= 176,400 J

Therefore, the potential energy of the roller coaster is 176,400 J (joules).

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Please help with these homework problems

Please help with these homework problems

Answers

Answer:

3o Is the correct answer for that

As part of astronaut training, a prospective astronaut is spun around in a human centrifuge such that the candidate experiences a centripetal acceleration that is 2.5 times the acceleration due to gravity on the surface of the earth. If the candidate is 7.27 m from the center, determine the candidate's speed in meters per second.

Answers

Due to the relationship between linear and angular speed, the candidate's speed is 13.3 m/s

Circular Motion

A satellite orbiting the earth is one of the example of a circular motion. The satellite will experience gravitational attraction towards the center of the earth. This attraction force provides the centripetal force

Given that a prospective astronaut is spun around in a human centrifuge such that the candidate experiences a centripetal acceleration that is 2.5 times the acceleration due to gravity on the surface of the earth. If the candidate is 7.27 m from the center, the parameters to work on are

Centripetal acceleration a = 2.5g = 2.5 × 9.8 = 24.5 m/s²Orbital radius r = 7.27 mSpeed v = ?

To determine the candidate's speed in meters per second, let us first find its angular speed w in rad/s by using the formula

a = w²r

24.5 = 7.27w²

w² = 24.5 / 7.27

w² = 3.37

w = √3.37

w = 1.84 rad/s

The relationship between linear and angular speed is

v = wr

v = 1.84 × 7.27

v = 13.3 m/s

Therefore, the candidate's speed in meters per second is 13.3 m/s

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1. The Gravitational Constant, G, is 6.674 X 10-11 m3/kg-s. Using Equation 3 below, what is
the force of gravity (Fa) between you and a table that is 2 meters away, assuming your
table weighs 20 kg? Remember to convert your weight to kg (1 lb. = 0.45 kg). Show your
work, and report your answer with 3 significant figures.
Fy = GX
mi X m2
Equation (3)
d2

Answers

The answer is D3x-4 =65.

All of the following are characteristics of gravity except

Answer 1-It is a force of attraction

Answer 2-It does not change

Answer 3-It is described as the bending of space

Answer 4 - it is responsible for the planets revolving around the sun

Answers

Gravity is not described as the bending of space.

So answer 3 is the correct option among them.

What is gravity?

Gravity is described as a fundamental interaction which causes mutual attraction between all things with mass or energy.

The characteristics of gravity include the following:

It is a force of attractionIt does not change it is responsible for the planets revolving around the sun

Gravity is also known as the universal force of attraction acting between all matter. Gravity has been found by experts to be by far the weakest known force in nature.

In conclusion,  Gravity creates stars and planets by pulling together the material from which they are made.

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PLEASE HELP I DONT GET THISS

PLEASE HELP I DONT GET THISS

Answers

Answer:

I feel like its the second one but I'm not completely sure..

Explanation:

A swimmer swims the 50m length of a swimming pool in 15.91 seconds. He makes the return swim in 18 seconds. What is the swimmer's average speed for the full swim?

Answers

If a swimmer swims the 50m length of a swimming pool in 15.91 second and makes the return swim in 18 seconds then the swimmer's average speed for the full swim is 2.948 metres per second.

To find the swimmer's average speed for the full swim, we need to calculate the total distance swum and the total time taken.
The swimmer swam the 50m length of the pool twice, once in 15.91 seconds and once in 18 seconds. So the total distance swum is 50m + 50m = 100m.
The total time taken is the sum of the time taken for each length: 15.91 seconds + 18 seconds = 33.91 seconds.
To find the swimmer's average speed, we divide the total distance by the total time:
Average speed = total distance ÷ total time
= 100m ÷ 33.91 seconds
= 2.948 metres per second
Therefore, the swimmer's average speed for the full swim is 2.948 metres per second. This is a relatively fast speed, but it's important to note that the swimmer's speed may vary depending on their stroke technique, physical fitness, and other factors. Nonetheless, it's an impressive achievement for the swimmer to complete the full 100m in under 34 seconds.

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Temperate rainforests are always located near the equator. Please select the best answer from the choices provided T F

Answers

Answer: f

Explanation:

just took the test

Temperate rainforests are always located near the equator. This is False statement.

What is temperate rainforest?

Coniferous or broadleaf forests that grow in the temperate zone and receive a lot of rain are known as temperate rainforests.

The Pacific temperate rain forests of North America's Pacific Northwest and the Appalachian temperate rainforest of the Eastern U.S. Sun Belt, the Valdivian temperate rain forests of southwestern South America, the rain forests of New Zealand and southeastern Australia, northwest Europe, southern Japan, and the Black Sea-Caspian Sea region from the southeasternmost coastal zone of the Bulgarian coast, through Turkey, to Georgia, and northern Iran are all examples of temperate rain forests.

In temperate rain forests, the damp conditions typically sustain an understory of mosses, ferns, and certain shrubs and berries. Broadleaf or coniferous temperate woods can be found in temperate regions.

Hence, temperate rainforests are always located near the equator - is False statement.

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Your friend's Frisbee has become stuck 19 m above the ground in a tree. You want to dislodge the Frisbee by throwing a rock at it. The Frisbee is stuck pretty tight, so you figure the rock needs to be traveling at least 4.1 m/s when it hits the Frisbee.

If you release the rock 1.8 m above the ground, with what minimum speed must you throw it?

Answers

Answer:

18.36 m/s

Explanation:

We can solve this using conservation of energy. The energy in the system will be conserved since there are no outside forces acting upon it so the potential energy and kinetic energy will be equal. Giving us this formula to start:

1/2mv^2=mgh

m=mass

g=gravity

h=height

v=velocity

We can start by figuring out the total height the rock travels which we can do by subtracting the height of the frisbee by the height the rock started at.

19m-1.8m=17.2m

Now we can plug in our variables to solve for velocity.

First we negate mass since its on both sides and cancels out leaving us with.

1/2v^2=gh

Plug in.

1/2v^2=(9.8)(17.2)

1/2v^2=168.56

v^2=337.12

v=18.36m/s

After a projectile is fired into the air, what is the acceleration in the x-
direction? (Assume no air resistance.)
A. O m/s2
B. 4.9 m/s2
C. 9.8 m/s2
D. 19.6 m/s2

Answers

(A)

Explanation:

There is no acceleration along the x-axis. Acceleration only occurs along the y-axis.

EASIEST QUESTION FOR BIG POINTS!
Math the definitions!

EASIEST QUESTION FOR BIG POINTS! Math the definitions!

Answers

The correct answers are: 1. Earth at the center of the universe - Geocentric model,  2.  Big bangs are followed by the big crunch and another big bang in a repeating pattern - Cyclic model, 3. Proposed by Nicolaus Copernicus and Aristarchus - Heliocentric model, 4.  Proposed by Aristotle - Geocentric model, 5.  The universe started from a single point - Big Bang Theory, 6.  Proposed by George Lemaitre - Big Bang Theory, 7. The sun at the center of the universe - Heliocentric model

The Geocentric model was the widely accepted model of the universe until the 16th century. It suggested that Earth was the stationary center of the universe, and all celestial bodies moved around it. The Heliocentric model proposed that the Sun was the center of the universe, and all planets including Earth revolved around it. Nicolaus Copernicus and Aristarchus were the proponents of this model.

The Cyclic model suggests that the universe goes through an infinite cycle of big bang and big crunch, leading to the creation of new universes. This model is different from the Big Bang theory, which states that the universe started from a single point and has been expanding since then.

The Big Bang theory is currently the most widely accepted model that explains the origin and evolution of the universe. It suggests that the universe started from a single point and expanded rapidly, leading to the formation of galaxies, stars, and planets. George Lemaitre was the first to propose this theory in 1927.

Therefore, the Geocentric model and the Heliocentric model proposed different views on the position of the Earth and the Sun in the universe, while the Big Bang theory and the Cyclic model propose different views on the origin and evolution of the universe.

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A wagon, Initially traveling at a constant 3.6 m/s, starts going down a hill that creates an acceleration of
1.6 m/s2. What is the wagon's velocity 4.8 s after it starts accelerating down the hill?

Answers

To determine the wagon's velocity 4.8 seconds after it starts accelerating down the hill, we can use the following kinematic equation:

v = u + at

where:
v is the final velocity,
u is the initial velocity,
a is the acceleration, and
t is the time.

Given:
u (initial velocity) = 3.6 m/s (constant velocity)
a (acceleration) = 1.6 m/s²
t (time) = 4.8 s

Using the equation and substituting the values, we have:

v = 3.6 m/s + (1.6 m/s²)(4.8 s)

v = 3.6 m/s + 7.68 m/s

Performing the addition:

v = 11.28 m/s

Therefore, the wagon's velocity 4.8 seconds after it starts accelerating down the hill is 11.28 m/s.

You can't always see electromagnetic waves, but they are found throughout
the universe. There are only a few waves that are visible to the human eye.
Electromagnetic radiation is used to meet our needs and wants. It makes
important things — like medical imaging, reheating food and cell phones
possible. Radiation can be helpful for sending texts, but it's not always a
good thing. The sunburn you get sitting on the beach is caused by
electromagnetic radiation, too.
The author of this passage would most likely agree with which of the following
statements?
A
Scientists do not know very much about electromagnetic waves.
B
Electromagnetic radiation can be both helpful and harmful to humans.
с
People understand electromagnetic waves better than ocean waves.
D
Electromagnetic radiation is more harmful than it is helpful.

Answers

The answer to the question is D.

The author of this passage is focusing on both the merits and demerits of electromagnetic waves. Thus, he agree with the statement  that electromagnetic radiation can be both helpful and harmful to humans.

What are electromagnetic waves?

Electromagnetic waves are transformation of energy and they are travelling with a combined electric field and magnetic field. There are various kinds of electromagnetic waves namely, ultraviolet, radio waves, microwaves x-rays etc.

All these waves have significant applications in various fields. Mostly in medical fields. They are used for diagnosing, cancer treatments drug optimization etc.

However, these waves are highly energetic and harmful too. Direct and elongated exposure to these waves may cause severe health risks including cancer.

The author addresses the advantages and disadvantages of the electromagnetic waves. Thus, option B is correct.

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Any five physics problems

Answers

Explanation:

There are still some questions beyond the Standard Model of physics, such as the strong CP problem, neutrino mass, matter–antimatter asymmetry, and the nature of dark matter and dark energy.

Q:- EXPLAIN WHY THE PLANETS DO NOT TWINKLE. ​

Answers

stars twinkle because they are so far away from earth that ,even through large telescopes, they appear only as pinpoints.

planets shine more stedily because they are closer to earth and so appear as pinpoints but as tiny disks in our sky.

Wegener’s theories of plate movement became the basis for the development of the theory of

Answers

Answer:

Wegener proposed his theory of "continental drift." Wegener proposed that the continents plowed through crust of ocean basins, which would explain why the outlines 

Plate tectonic theory had its beginnings in 1915 when Alfred Wegener proposed his theory of "continental drift." Wegener proposed that the continents plowed through crust of ocean basins, which would explain why the outlines of many coastlines (like South America and Africa) look like they fit together like a puzzle.

What would happen if the molecules in a sample moving entirely ?

Answers

Answer:

Molecular scale. The story begins a long time ago  

when the idea that molecules are in constant motion  

was first discovered. Part of the evidence that you can  

see in everyday life was discovered by Robert Brown  

about 150 years ago when he used a microscope to  

watch how tiny dust particles move.

So how fast do molecules move? It all depends upon  

the molecule and its state: molecules in a solid state  

move slower than in a liquid state, and much slower  

than gas molecules. One estimate puts gas molecules  

in the range of 1,100 mph at room temperature. Cool  

them down to almost absolute zero and they slow  

down to less than 0.1 mph (slower than the average  

couch potato). The fact that they are always moving  

makes it a challenge to see molecules and make stuff  

out of them, but it’s a challenge that scientists  

work hard to figure out.

Explanation:

A car travels 400 km in the first 4.5 hours of a trip. It stops for an hour and then travels final 300 km in 2.5 hours. Find the average speed of the car.

Answers

Given data:

Distance traveled by car in t_1=4.5 hr is s_1=400 km.

Distance traveled by car in t_2=1 hr is s_2=0 km (as the car was stopped).

Distance traveled by car in t_3=2.5 hr is s_3=300 km.

The average speed is given as,

\(\begin{gathered} v_{avg}=\frac{\text{ total distance traveled}}{\text{total time taken}} \\ =\frac{s_1+s_2+s_3}{t_1+t_2+t_3} \end{gathered}\)

Substitute all known values,

\(\begin{gathered} v_{avg}=\frac{(400\text{ km})+(0\text{ km})+(300\text{ km})}{(4.5\text{ hr})+(1\text{ hr})+(2.5\text{ hr})} \\ =87.5\text{ km/h} \end{gathered}\)

Therefore, the average speed of the car is 87.5 km/h.

What is quantum physics? ​

Answers

Answer:

A fundamental theory that provides a description of the physical properties of nature at the scale of atoms and subatomic particles.

Explanation:

Helium gas at 20 °C is confined within a rigid vessel. The gas is then heated until its pressure is doubled. What is the final temperature of the gas?

Answers

Answer:

586 K

Explanation:

Let P is the initial pressure.

Initial temperature, T₁ = 20°C = 293 K

Final pressure, P₂ = 2P

We need to find the final temperature of the gas.

The relation between the pressure and the temperature is as follows

\(P\propto T\\\\or\\\\\dfrac{P_1}{P_2}=\dfrac{T_1}{T_2}\)

Put all the values,

\(\dfrac{P}{2P}=\dfrac{293}{T_2}\\\\\dfrac{1}{2}=\dfrac{293}{T_2}\\\\T_2=2\times 293\\\\T_2=586\ K\)

So, the final temperature of the gas is 586 K.

A long, current-carrying solenoid with an air core has 1550 turns per meter of length and a radius of 0.0240 m. A coil of 200 turns is wrapped tightly around the outside of the solenoid, so it has virtually the same radius as the solenoid. What is the mutual inductance of this system

Answers

Answer:

\(M=7.05*10^{-4}\)

Explanation:

From the question we are told that:

Coil one turns N_1=1550 Turns/m

Radius \(r=0.0240m\)

Turns 2 \(N_2=200N\)

Generally the equation for area is mathematically given by

\(A=\pi*r^2\)

\(A=\pi*0.024^2\)

\(A=\1.81*10^{-3} m^2\)

Therefore

The mutual inductance of this system is

\(M=\mu*N_1*N_2*A\)

\(M=(4 \pi*10^{-7})*1550*200*1.81*10^{-3}\)

\(M=7.05*10^{-4}\)

Odina walked down the hall at school from the cafeteria to the band room, a distance of 100.0m. A class of physics students
recorded and graphed her position every 2.0s, noting that she moved 2.6m every 2.0s. Odina was 25m from the band room
at 58s.
Please select the best answer from the choices provided
Т
F

Answers

Find distance she traveled:

100m -25m = 75m


58 seconds / 2 second intervals = 29

29 x 2.6m = 75.4 meters total.


if the distance wasn’t rounded the statement was False.


Answer: False

The answer of this question is t

What is sound waves

Answers

Sound waves are a type of mechanical wave that propagate through a medium, typically air but also other materials such as water or solids.

Characteristics of sound waves

Frequency: the frequency of a sound wave refers to the number of cycles or vibrations it completes per second and is measured in Hertz (Hz).

Amplitude: the amplitude of a sound wave refers to the maximum displacement or intensity of the wave from its equilibrium position. It represents the loudness or volume of the sound, with larger amplitudes corresponding to louder sounds and smaller amplitudes corresponding to softer sounds.

Wavelength: the wavelength of a sound wave is the distance between two consecutive points in the wave that are in phase, such as from one peak to the next or one trough to the next. It is inversely related to the frequency of the wave.

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Wyatt knows that his technical sewing skills can set him apart from other candidates. Toshowcase his knowledge, he fills a three-ring notebook with plastic pouches that contain small-scale projects he has created, including finished seams, blind-stitched hems, and evenly spacedgathers. What would people in the fashion industry call Wyatt's creation?technical sewing samples binderfashion illustration showcasepractical design mini portfolioapplied needlework collection Find the area, to the nearest thousandth, of the indicated region of the standard normal distribution. The region where z >1.42 Write three sentences where you first define fully the Gender based Violence as being a human right violation a religious organization that is recognized as the national or official religion is known as a(n) select one: a. cult. b. denomination. c. sect. d. ecclesia. The new Texas law will permit individuals who have obtained a concealed handgun license (CHL) to carry their loaded, concealed weapon in college and university buildings. Each college and university may determine certain sensitive areas and buildings* where concealed weapons will continue to be prohibited. Each college and university must publicly display campus policies on the official school website, as well as widely publicizing it among correspondence with the institutions faculty, staff, and students. Previous laws permitting the concealed carry with a license on open campus grounds and in locked vehicles in parking lots will remain unchanged (see note 2 below).*The sensitive areas will first be determined by the institution and will include representatives from the student body, faculty, and staff. Once the sensitive areas are approved by this committee, they will be sent to the Board of Regents for a 2/3 vote for approval.1. 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The second step in the gram staining procedure involves flooding the slide for one minute with:_________ Your brother asks what you think of his term paper. You don't think it is very good, but you decide to go with a more confirming response, saying, "I'm not sure, but then again I never was very good in English. By using an) _message, you convey your point of view while inviting alternative views so as not to hurt your brother's feelings. Multiple ChoiceO provisionalO equality O empirityO descriptive please helpi'll give brainliest please help me please help me please help me please help me please help me please help me please The general inclusion-exclusion principle. Jump to level 1 Given four sets: A, B, C and D. Each set has 10. The pair-wise intersections have 6 elements. The three-way intersections have 5 elements. There are 2 elements in the intersection of all sets. How many elements are there in total? Ex: 60 2 3 Check - Next In state n = 1, the energy of the hydrogen atom is -13. 58 ev. what is its energy in state n = 2? Consider the following method.public static String scramble(String word, int howFar){return word.substring(howFar + 1, word.length()) + word.substring(0, howFar);}What value is returned as a result of the call scramble("compiler", 3) ?a) "compiler"b) "pilercom"c) "ilercom"d) "ilercomp"e) Nothing is returned because anIndexOutOfBoundsException is thrown. 18 pink flowers to 12 white flowers per row.Find the ratio of pink flowers per white flower per row. compared to traditional marketing, digital/social media marketing a. provides a wider reach. b. is harder to track. c. is more engaging. d. is less direct. What was the importance of The Epic of Gilgamesh? g derek, a cash basis, unmarried taxpayer, had $1,100 of state income tax withheld during 2022. also in 2022, derek paid $110 that was due when he filed his 2021 state income tax return and made estimated payments of $2,200 toward his 2022 state income tax liability. when derek files his 2022 federal income tax return in april 2023, he elects to take the standard deduction, which reduced his taxable income. as a result of overpaying his 2022 state income tax, derek receives a refund of $770 early in 2023. how much of the $770 will derek include in his 2023 gross income Where does the majority of carbohydrate, protein, and lipid metabolism occur?.