Air conditioners not only cool air, but dry it as well. Suppose that a room in a home measures 5. 0m×9. 0m×2. 4m.


If the outdoor temperature is 30 ∘C and the vapor pressure of water in the air is 85 % of the vapor pressure of water at this temperature, what mass of water must be removed from the air each time the volume of air in the room is cycled through the air conditioner? The vapor pressure for water at 30 ∘C is 31. 8 torr

Answers

Answer 1

The volume of air in the room. The volume of the room is given by the product of its length, width, and height=  18.015 g/mol.

Calculation-

Volume of air = 5.0 m × 9.0 m × 2.4 m = 108 m^3

Next, we need to find the number of moles of water vapor present in the air at 85% of the vapor pressure of water at 30°C.

The vapor pressure for water at 30°C is 31.8 torr. At 85% of this value, the vapor pressure of water in the air is:

Vapor pressure in air = 0.85 x 31.8 torr = 27.03 torr

We can use the Ideal Gas Law, PV = nRT, to find the number of moles of water vapor present in the air.

P = 27.03 torr

V = 108 m^3

R = 8.314 J/mol·K (The universal gas constant)

T = 303 K (Temperature in kelvins)

n = (PV) / (RT)

Find the mass of water that needs to be removed from the air each time the volume of air in the room is cycled through the air conditioner.

mass of water = n * M(H2O)

Where M(H2O) is the molar mass of water which is 18.015 g/mol. It is important to note that this calculation assumes that air behaves as an ideal gas and that the temperature and pressure remain constant throughout the room. In reality, the temperature and pressure may vary throughout the room and the process of removing water vapor from the air can also affect the temperature and pressure.

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Related Questions

The angular diameter of an object is inversely proportional to its distance from the observer.
True False

Answers

This statement is True, the angular diameter of an object is inversely proportional to its distance from the observer.

Angular diameter is a measure of the apparent size of an object in the sky as seen from a given location. It is the angular distance between two opposite points on the visible surface of the object, usually measured in degrees or arcminutes. Angular diameter can be used to describe the apparent size of both small and large objects, such as planets, stars, galaxies, and clusters.

For example, the angular diameter of the Sun as seen from Earth is approximately 0.5 degrees, while the angular diameter of the Moon is approximately 0.5 degrees. Angular diameter can also be used to measure the apparent size of large-scale structures in the Universe, such as the distance between two galaxies in a galaxy cluster. The angular diameter of a galaxy cluster is typically measured in arcminutes or arcseconds. Angular diameter is a useful measure of the size of an object since it is independent of the distance between the observer and the object.

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A water-skier is being pulled by a tow rope attached to a boat. As the driver pushes the throttle forward, the skier accelerates. A 79.0-kg water-skier has an initial speed of 5.6 m/s. Later, the speed increases to 10.8 m/s. Determine the work done by the net external force acting on the skier.

Answers

The work done by the net external force acting on the skier is 3368.56 J.

What exactly is a physics "work done"?

When an object is moved over a distance by an external force, at least a portion of that force must be applied in the direction of the displacement. This is known as work in physics.

What is a work unit and a SI unit of work?

The joule is the SI unit of labor (J). It is described as the work accomplished over a one-meter distance by a force of one newton.

It is given that,

Mass of the water skier, m = 79.0 kg

Initial speed of the water skier, u = 5.6  m/s

Final speed of the skier, v = 10.8 m/s

Now, we calculate work done by using work energy theorem,

W = ΔE

[tex]W=\frac{1}{2}m (v^2-u^2)[/tex]

[tex]W=\frac{1}{2} 79.0 kg (10.8^2-5.6^2)[/tex]

[tex]W=3368.56J[/tex]

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When a satellite is a distance d from the center of Earth, the magnitude of the gravitational force that the satellite exerts on Earth is F. What is the magnitude of the gravitational force that the satellite exerts on Earth when the satellite's distance from the center of Earth is 3d?
plsss help

Answers

According to Newton's law of gravitation, the new gravitational force will be F/9

Newton's Law of Gravitation

It states that, the force of attraction between two masses is directly proportional to the product of the masses and inversely proportional to the square of the distance between them.

When a satellite is a distance d from the center of Earth, the magnitude of the gravitational force that the satellite exerts on Earth is F. That is,

F = GMm/d²

Where

M = mass of the earthm = mass of the satelliteG = universal gravitational constant

The magnitude of the gravitational force that the satellite exerts on Earth when the satellite's distance from the center of Earth is 3d can be expresses as follow

f = GMm/(3d)²

f = GMm/9d²

f = GMm/d² × 1/9

Since GMm/d² = F

f = F × 1/9

f = F/9

Therefore, the magnitude of the gravitational force that the satellite exerts on Earth when the satellite's distance from the center of Earth is 3d is F/9 Newton

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Stephen has to drive 8 miles south and 3 miles east to get to work.What is his distance and displacement?

Answers

Since the displacement is a vector quantity, the distance is 11 miles while displacement is 8.5 miles

What is Displacement ?

Displacement is a distance travelled in a specific direction. Distance is a scalar quantity while displacement is a vector quantity.

Given that Stephen has to drive 8 miles south and 3 miles east to get to work.

His distance will be 8 miles + 3 miles = 11 miles

While his displacement can be calculated by using Pythagoras theorem. That is,

Displacement D = √(8² + 3²)

D = √(64 + 9)

D = √73

D = 8.5 miles

Therefore, his distance is 11 miles and his displacement is 8.5 miles.

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Calculate the force of gravity between a 2.50 kg newborn baby and a 80.0 kg doctor standing 0.250 m away. G

Answers

The force of gravity between the newborn baby and the doctor is approximately 2.67 x 10^-8 N.

What do you mean by force of gravity?

The attraction between two objects in the cosmos is created by the force of gravity. Objects fall towards the center of the earth as a result of this force, which also keeps planets and moons in their orbits around stars. The mass of the objects and the separation between their centers of mass determine how much gravity there is between them.

The force of gravity between two objects is:

F = G * m1 * m2 / r^2

Where F  = force of gravity,

G = gravitational constant (approximately 6.67 x 10^-11 N*(m/kg)^2),

mass m1 and mass m2 are the masses of the objects,

r = distance between their centers of mass.

Given:

the mass of the newborn baby = 2.50 kg,

the mass of the doctor = 80.0 kg,

the distance between them = 0.250 m,

F = (6.67 x 10^-11 N*(m/kg)^2) * (2.50 kg) *(80.0 kg) / (0.250 m)^2

F = 2.67 x 10^-8 N

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4. Driving home from school one day, you spot a ball rolling out in the street. You brake for 1.20 s, slowing your 950 kg car from 16 m/s to 9.5 m/s. a. What was the average force exerted on your car during braking

Answers

As stated in the preceding statement When braking, an automobile experiences an average force of 5,145.8 N.

Describe acceleration:

An object is considered to have been pushed if its velocity changes. Depending on whether an item is moving faster, slower, or in a new direction, its velocity may change. Examples of acceleration include a falling fruit, the moon orbiting the earth, and an automobile that has stopped at a stop sign.

v = v o + a t  ( the acceleration will be negative )

9.50 = 16.0 + a * 1.2

a * 1.2 = -16.0 + 9.50

a * 1.2 = - 6.5

a = - 6.5 : 1.2

a = - 5.4167 m/s²

F = m * a

950 kg * 5.4167 m/s²

F = 5,145.8 N ( the average force exerted on a car during braking )

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What is the potential energy of a passenger jet weighing 7.0 x 10^5 N when it reaches a cruising altitude of 10.0 km?

Answers

Upon travelling at an altitude of 10.0 km, a passenger aircraft weighing 7.0 x [tex]10^{6}[/tex] N  potential is the energy.

What similarities and differences do kinetic and potential energy share?

Potential energy and kinetic energy are fundamentally different from one another because one is the energy of what can be and the other is the energy of what is. Or to put it another way, potential energy is immobile and ready to be unleashed;

When compared to potential energy, is kinetic energy greater?

Due to the object's motion, kinetic energy loses some energy in the form of light energy, heat energy, and friction; these things do not occur in the potential energy, which is the reason why kinetic energy is not more than the potential energy.

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Drag each label to the correct location.

Identify the boundary type that is being described.

Answers

Transform boundaries, continental convergent boundaries, and oceanic convergent boundaries are the boundaries that are recorded.

How do transform boundaries work?

A transform boundary is an area of a fault where two surfaces slide horizontally past one another.

What exactly is a convergent ocean boundary?

An oceanic convergent boundary is the collision of two oceanic lithosphere-based plates. Even if this boundary contained the same kind of lithosphere, one of the plates would subduct beneath the other.

Transform boundaries are where crust is neither created nor destroyed at this boundary.In the region where the plates come into contact, movement along this boundary causes crumpling, lifting, and folding of the earth's crust—the continental convergent boundary.At this boundary, also known as the oceanic convergent boundary, the subduction zone frequently forms an arc of volcanic islands.

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What are the most common mutations in SCID?

Answers

A mutation in the interleukin 2 receptor gamma (IL2RG) gene, which makes the common gamma chain subunit, a part of multiple IL receptors, causes X-linked SCID. JAK3 is a crucial signaling molecule that is activated by IL2RG. SCID can also be brought on by a JAK3 chromosome 19 mutation.

Due to mutations in the gene encoding the common chain for several cytokine receptors, X-linked SCID is the most prevalent kind. Adenosine deaminase deficiency (ADA def.) and IL-7R-chain deficiency are the second and third most frequent causes, respectively.

The term "combined immunodeficiency" refers to a genetic abnormality that affects T cells as well as at least one other kind of immune cell in SCID patients. According to which immune cells—T, B, and/or NK cells—are damaged, different types of SCID are categorized.

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A tsunami caused by an earthquake occurring in Alaska in 1946 consisted of several huge waves which were found to travel a distance of 3607 km. The first of the waves reached Hawaii 4.567 hours after the earthquake occurred. From this data, calculate the speed of the tsunami.

Answers

From the given data, the speed of the tsunami is 789.8 km/h.

What is the speed of the tsunami?

The speed of the tsunami is calculated from the relationship between distance travelled by the wave and the time of motion of the wave.

Mathematically, this formula is given as;

v = d / t

where;

d is the distance travelled by the wave of the earthquaket is the time of motion of the wave

From the given data, the speed of the tsunami is calculated as follows;

v = ( 3607 km ) / ( 4.567 hr )

v = 789.8 km/h

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An object is dropped from the edge of a cliff and is moving at 26.5 m/s just before it hits the ground. How high is the cliff

Answers

Here initial speed u=0m/s    final speed v=26.5 m/s and acceleration due to gravity g=9.81 m/s^2

Calculation

Where:

m = mass of the object (kg)

g = acceleration due to gravity (9.8 m/s^2)

h = height of the cliff (m)

We know the velocity of the object just before it hits the ground, which is 26.5 m/s. We can use this velocity to calculate the kinetic energy of the object just before it hits the ground.

KE = (1/2)mv^2

As the object is dropped from the cliff, its initial potential energy is converted to kinetic energy. Therefore, the initial potential energy is equal to the final kinetic energy.

GPE = KE

mgh = (1/2)mv^2

We can solve for h by rearranging the equation and substituting the known values for GPE, KE, m, and g.

How can I determine the speed of a falling object before it reaches the ground?

Simply multiply the acceleration of gravity by the period of time since the object was released to determine the object's speed (or velocity). In other words, velocity is equal to -9.81 m/s2 * time, or V = gt. The item is just traveling downwards when there is a negative sign.

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In 1935, a french destroyer , La Terrible , started from rest and accelerates to attain a speed of 93 km/h. Suppose it took 2 minutes for the ship to speed up. Find the ships average acceleration.

Answers

According to the given statement The ships average acceleration is 2790 km/hr².

What is an explain acceleration?

Rate of change in both speed and direction of motion over time. A point or object going straight forward is accelerated when it accelerates or decelerates. Even though the speed is constant, motion on a circle accelerates because of direction is always shifting

Calculation:

We know that from newton's equation,

v² + u² = 2as

S = ut + 0.5 at²

Where, v = final speed

           u = initial speed

           a = acceleration

           S = distance covered

            t = time taken

Given, u = 0

So the equations becomes:

v² = 2as

S = 0.5 at²

Using these equations we get:

v² = 2a(0.5)at²

v² = a²t²

v = at

v/t = a

Given,  v = 93 km/hr

          t = 2 min = 2/60 hr

Putting these values in above equation we get, a = 2790 km/hr²

So, the ships average acceleration is 2790 km/hr²

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You can just say if its A B C or D.

Thank you!

Answers

A,B,C,D,D,A,C hope this helps

To protect yourself from being electrocuted by contact with overhead power lines, you should always assume overhead lines are energized and keep yourself and equipment and at least ________ away from power lines up to 50KV

Answers

Keep equipment and yourself at least 10 feet away from power lines carrying high voltage up to 50KV.

Which of the following components of PPE can guard against electrocution?

Safety glasses, face shields, hard hats, insulated boots, rubber gloves with leather protectors, insulating sleeves, and fire clothing are among the personal protective equipment (PPE) that must be worn when working near power lines depending on the job task. This lowers the risk of electrocution.

Which power line safety precautions are recommended?

Assume that overhead electricity wires are active and keep a minimum of 10 feet away from them. When operating close to power lines, de-energize and ground them. When working close to electricity lines, use fiberglass or wood ladders that are non-conductive.

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Why is copper wire a better conductor of electricity than carbon fiber? (1 point)
A) Carbon (C) does not have any valence electrons.
B) Copper (Cu) is a metal, and only metals can conduct electricity.
C) The electrons in copper (Cu) are loosely bound to the nucleus.
D) Copper (Cu) has no loose electrons.

Answers

The copper wire a better conductor of electricity than carbon fiber because copper (Cu) is a metal, and only metals can conduct electricity option - B is correct answer.

Why does copper behave better as an electrical conductor?

A metal has greater electrical conductivity the lower its resistivity level. And copper wire is an excellent electrical conductor because it has a low level of resistivity. Incredibly flexible is another quality of copper.

Carbon fiber still does not conduct electricity as well as metal, even after being treated with other materials. Though still about 100 times faster than carbon fiber treated with good electricity conductors, metals like silver, aluminum, and copper are particularly good at conducting electricity.

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Answer:

1. The electrons in copper (Cu) are loosely bound to the nucleus. (C.)

2. An electrical current that flows in one direction (D.)

3. aluminum (Al) (D.)

4. Opposite charges attract one another. (D.)

5. Atoms with a nearly empty valence shell make good conductors. (C.)

Explanation:

I did the Connections Academy test (Conductors and Insulators Quick Check)

On a wheel and axle, if the large wheel has a radius of 20 cm and the small wheel has a radius of 4 cm, what is the ideal mechanical advantage

Answers

The ideal mechanical advantage is 5.

Here, we have value larger radius , R = 20 cm and smaller radius = 4 cm

So, as per the problem, mechanical advantage will be 20/4 = 5.

A wheel and axle must be permanently joined in order to be considered a simple machine, and the wheel must by definition have a bigger radius than the axle. A point on the wheel moves a distance of 2 R whereas a point on the axle moves a distance of 2 r when you turn the wheel through a full revolution, which likewise causes the axle to turn through a full revolution.

The force you apply F R times the distance the point moves equals the effort W required to move a point on the wheel through one full revolution. Work is energy, and since energy must be conserved, a point on the axle must be subjected to a larger force F r because it moves a shorter distance.

The mathematical relationship is:

W = Fr (subscript) ×2πr/θ =F r(subscript) ×2πR/θ

Where ​θ​ is the angle that the wheel is turned.

And therefore:

Fr(r in subscript) / FR(R in subscript) = R/r

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What is dynamic flexibility example?

Answers

Dynamic flexibility example is a swimmer may circle their arms before getting into the water.

What is dynamics flexibility?

A person's absolute range of motion that is possible with movement is referred to as dynamic flexibility. Alternatively put, the greatest range of motion is the farthest you can bend, turn, or reach utilizing velocity and momentum. Some people use the terms ballistic or functional flexibility to describe dynamic flexibility.Prior to a workout or any type of activity, dynamic stretching is a fantastic approach to improving flexibility and engaging key muscles. The benefits will help you perform at your best as an athlete, thus it should always be done before any activity.Dynamic stretching involves regulated movements that get your muscles, ligaments, and other soft tissues ready for action and safety.

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Four particles with masses 4 kg, 4 kg, 4 kg, and 7 kg are connected by rigid rods of negligible mass as shown. Assume the system rotates in the xy plane about the z axis (origin, O) with an angular speed of 9 rad/s. Find the rotational energy of the system about the x axis.

Answers

The rotational Kinetic energy of the system about X axis is 24624 J.

Let the distance of the mass 4kg, from O is r1,

r = √(4² + 4²)

r = √32m

The distances of masses to the rotation axis is same -

say,

r1 = r2 = r3 =r4 = √32

Hence,

I = ∑ mi r1²

I = r² ∑(m1 + m + m3 + m4)

= 32(19)

I = 608 Kg m²

We know that rotational energy of system is given as,

K = 1/2 Iw²

Given,

W = 9 rad/sec

∴ K = 1/2 × 608 × 9²

  K = 24624 J

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a tennis player hits a tennis ball with a force of 15N and moves it 25m . of the tennis players power output was 750W, find out how long they did work on the tennis ball for

Answers

When we do, we make sure to measure our mass in kilograms. We determine that F is equal to 124.26 newtons by entering these numbers into our calculator.

That is the average magnitude of the force applied to the tennis ball.

How is the force of a tennis serve calculated?

The equation that Newton was referring to is shown by a serve. You can calculate the total force that was applied by the tennis racket to the ball by multiplying the weight of the racket by the speed at which the player swings their racquet.

After serving, how much does a tennis ball slow down?

An average 120-mph serve slows to 82 mph before the bounce, 65 mph after the bounce, and 55 mph at the opponent's racket, according to tennis instructor and analyst John Yandell.

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I really don’t get it so if someone could help me that would be great

Answers

Answer:

Explanation:

First establish the POSITIVE direction.  We'll say to the RIGHT is positive, and UP is positive.  All you have to do is add forces in the positive direction and subtract forces in the negative direction.  If your answer is positive, the net force is to the right or up;  if your answer is negative, the net force is to the left or down.

Here are your answers:

25-15-15 = -5N left

84-60-10 = 14N up

75-60-2 = 13N right

25+25-25 -15 = 10N right

44+44-100= -12N down

67-76 = 9N right

The direction of the velocity of the planet is _______________________ (alwaysThe direction of the velocity of the planet is _______________________ (always, seldom, never) perpendicular to the net force acting upon the planet., seldom, never) perpendicular to the net force acting upon the planet.

Answers

According to the satellites' orbits and the speed at which they move, it either happens frequently or always.

As we begin to examine satellite orbits, we find that a circular orbit places the satellite always perpendicular to the object's net force and speed.

The orbit is stretched, just like in elliptical orbits. This informs us that the orbit has four points. As a result, the satellite rarely faces the satellite's net force in a perpendicular direction.

Rarely and always for elliptical orbits. According to the satellites' orbits and the speed at which they move, it either happens frequently or always.

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Trends are easier to detect when the signal-to-noise ratio is low.
a True
b False

Answers

Answer:

I think it's b. False

Explanation:

What is the speed of a truck that travels 10 km in 20 minutes?

Answers

Answer:

8.3 m/s

Explanation:

Here's the answer in m/s:

(10 km)(1000 m/km) = 10000 m

(20 min)(60 s/min) = 1200 s

speed = d/t = 10000m / 1200s = 8.3 m/s

If energy density is the amount of energy per unit mass, which of the following statements must be true?
A) NiCd batteries have a higher energy density than lead storage batteries
B) Lead storage batteries produce less energy than NiCd batteries
C) NiCd batteries produce more electrons per mole of metal than lead storage batteries
D) Both lead storage and NiCd batteries have the same energy density

Answers

If the energy density is the amount of energy per unit mass, then the true statement is A: "NiCd batteries have a higher energy density than lead storage batteries".

One of the advantages of NiCd batteries is that NiCd batteries have a higher energy-to-weight ratio in comparison to lead storage batteries. Even though lead-storage batteries have a higher E°cell, but NiCd batteries have more energy per unit mass and are smaller in size. Therefore, it is sated that NiCd batteries have a higher energy density.

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A car drives to the right. There is a large amount of air resistance, and the car's engine provides the car's forward motion. Which force on the free-body diagram below represents the normal force acting on the car?

Answers

A force on the free-body diagram above which represents the normal force acting on the car include the following: D. Force A.

What is a free-body diagram?

In Science, a free-body diagram can be defined as a graphical illustration which is typically used in the field of science to visualize moments, tension, and applied forces that are acting on an isolated or rigid object (body), while using arrows to point in the direction of these forces.

Since this car was driven to the right, with a large amount of air resistance acting on it, and its engine provides the forward motion, we can reasonably infer and logically deduce that the normal force which is acting on the car is represented by Force A as illustrated by the free-body diagram shown in the image attached above.

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A 5mL tank of Carbon dioxide i tored at a preure of 30mmHg. It i moved to an altitude with a preure of 28mmHg. What will the new volume of Carbon dioxide be?

Answers

The new volume of Carbon dioxide be 5.36 mL.

What happened to the amount of gas in the syringe as you raised the plunger?

Boyle's Law can also be used to explain how a syringe operates. A syringe's plunger being drawn out causes the volume inside the barrel to expand, which lowers the pressure inside the barrel.

Describe Boyle's Law.

According to Boyle's Law, P1V1=P2V2 while the temperature is constant. In accordance with Boyle's Law, pressure and volume are inversely linked. In other words, volume decreases as pressure rises (and vice versa).

Given:

Volume (V1) =5ml

Pressure (P1) = 30 mmHg

Pressure (P2) =28 mmHg

Volume (V2) = ?

From Boyle's Law,

[tex]P_1V_1=P_2V_2[/tex]

[tex]30*5=28*V_2[/tex]

[tex]V_2=\frac{30*5}{28}[/tex]

[tex]V_2= 5.36 ml[/tex]

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For the charge distribution provided, indicate the region (a to e) along the horizontal axis where a point exists at which the net electric field is zero. (figure 1) if no such region exists on the horizontal axis choose the last option (nowhere). View available hint(s)

Answers

The region (A to E) along the horizontal axis where a point exists at which the net electric field is zero is point C.

An electric field refers to the physical field surrounding electrically charged particles which exerts force on all other charged particles in the field, either attracting or repelling them. It also refers to the physical field for a system of charged particles. It is defined as the electric force per unit charge. The field direction is taken as the direction of the force it would exert on a positive test charge. The direction of the electric field is always away from the positive charge and towards the negative charge. As seen in the diagram, both positive charges are equidistant from region C, and the strength of charges of the particle is the same in magnitude but opposite in direction, so the net electric field of both charges will be zero in region C.

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What is moment arm distance?

Answers

The distance between the force's line of action and the center of moments, also known as the moment arm or lever arm, is perpendicular. Force times distance equals moment.

Moment distance: what is it?

A force's moment is determined by its magnitude and distance from the rotational axis. The strength of a force is measured by its moment around a point (the perpendicular distance of the line of action of the force from the point).

What exactly are moment and lever arms?

The distance from an axis to the line of action of a force is known as the moment arm (or lever arm) of a force system. In other words, the moment arm controls the torque's quality.

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A boy with a mask of 20 is running at 3 m/s what is his kinetic energy

Answers

Important Formulas:

[tex]KE=.5mv^2[/tex]

Kinetic energy(measured in joules) = .5 * mass(measured in kg) * velocity(measured in m/s)^2

__________________________________________________________

Given:

[tex]m=20kg[/tex]

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

[tex]KE=?[/tex]

__________________________________________________________

Finding kinetic energy:

[tex]KE=.5mv^2[/tex]

[tex]KE=.5(20)(3)^2[/tex]

__________________________________________________________

[tex]\fbox{KE = 90 Joules}[/tex]

How do the overload and progression principles work together for strength training?

Answers

If you are exercising with a specific goal in mind, such as improved strength or cardio fitness. Exercise training's guiding principles include overload, recuperation, progression, reversibility, and specificity.

Your muscles will remain challenged and you'll get stronger if you change or advance your workouts.

To get the most out of any training programme, you must follow certain rules. You won't benefit much from your workouts if you don't adhere to these rules. Exercise training's guiding principles include overload, recuperation, progression, reversibility, and specificity. The concept of specificity is especially important if your exercise programme is designed to help you achieve a particular goal, like increased strength or improved aerobic fitness.

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"Toastmasters" is a community group that focuses on helping people gain confidence in delivering public speeches. True or false A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points negative one, zero and zero, one. A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points negative one, zero and zero, one. What is the slope of the line? Larry and Carol are both members of a population, and a simple random sample is being conducted. If the chance of Larry being selected is 1/800, what is the chance of Carol being selected the federal trafficking victims protection act of 2000 identifies two forms of trafficking What did Nat Turner's Rebellion consist of? What are the 7 principles of effective communication? 5.4.2 cm4.2 cmsquare centimeters Charlie bought pound of American cheese and pound of Swiss cheese. Josh bought pound of cheddar cheese and pound of jack cheese. Josh says that they bought the same amount of cheese. Is he correct? Explain. Identify the domain and range of the following relation.x y-2 -41 30 01 44 6-1 -2 What is the solution to the system of linear equations 3x minus 2y equals 14 5x plus y equals 32? 10. Find the degree of the monomial. 7m^6n^511675 What is g(4) when given the function g(x) = 6x + 32? Consider the velocity field v={4yti+2xtj}m/s for the following parts The legislature in a state has 50 seats. Apportion these seats to the five counties below using Lowndes' method.County Population Seats ReceivedAdams 71,000 Grant 483,000 Colton 224,000 Davis 406,000 Hayes 444,000 A forecast with a time horizon of about 3 months to 3 years is typically called a: A)short-range forecast. B)medium-range forecast. C)long-range forecast D)weather forecast. E)strategic forecast. Match each expression on the left with an equivalent expression on the right. Some answer choices on the right will not be used.3160.851000.4250.375340.3160.3840200.1875 Mess Me and You will have nonsense Explain how this riddle relates to mutation in DNA Kendrick believes that he will most likely fail his new math class. Sadly, he acts in ways that will directly or indirectly cause this belief to come true. He studies less, often falls asleep in class, and rarely turns in homework. Kendricks behavior can best be categorized as A 2kg block is attached to a spring for which K=200N/m it is held at an extension of 5 cm and then released at t=0.A, the displacement as a function of time?B, the acceleration when X=+A/2C, the total energy when X=+A/2D, the velocity when X=+A/2 A pilot must log at least 1100 hours to fly an aircraft. Jabari logged 300 hours. How many more hours must he log to qualify