A body has density of 2kg/m² and volume 2m². Find the mass of the volume​

Answers

Answer 1

Answer:

4kg

Explanation:

density is mass/ volume, 4/2= 2

Answer 2

Answer:

The mass is 4kg

Explanation:

Density of an object is defined as the ratio of the mass of the object to its volume. Mathematically,

Density = mass/volume

Mass is measured in kilogram (kg)

Volume is measured in m³

From the formula;

Mass = Density × volume

Mass = 2kg/m³ × 2m³

Mass = 4kg


Related Questions

QUESTION 3

When completing a scientific investigation, you will know your results are reliable when you are able to

duplicate your results

communicate your results

evaluate your results.

Answers

Answer:

duplicate your results

Explanation:

the results are reliable when you can duplicate the expirement and repeat the results without error.

Answer:

Duplicate your results.

Explanation:

A scientific investigation refers to researches where we apply the scientific method, which is characterized by involving systematic observations, measurements, experimentation, analysis, system of hypothesis, and other elements.

Basically, when we have a hypothesis, we try to prove it developing a scientific investigation which must be defined with the relation between a dependent variable and an independent variable. So, through systematic observations, we study the relation between these variables, experimenting and analysing all results we get from those observations.

So, one important characteristic of scientific investigation is research reliability, which is the degree to which a research produces consistent results, and one ingredient to obtain that it's the posibility of reproducing the results, that is, duplicating them in other contexts. For example, if we study Newton's second law, you will be able to reproduce the results of such law in different contexts.

Therefore, the right answer is "duplicate your results".

Engineers at a technology company are designing a new battery for the next generation of cell phones. How will knowing the about the molecular structure of different metals help them choose the best materials?

help me please!!!

Answers

Answer:

closely molecules materials are the best compared to far apart molecule materials

Explanation:

closely molecules materials are easily charged and loose charge slowly while far apart molecules materials get charged slowly wand loose charge faster

Answer:Explained

Explanation:

Engineers at a technology company should know about the structure of different metals because a battery works on chemical reaction occurring inside in it.If a wrong metal is chosen then chances of spilling or even explosion can occur. Moreover knowledge of metal may help them to make battery light and tougher which can withstand an elevated temperature.

Which of the following is the largest unit?
Hectogram
Dekagram
Decigram
Microgram

Answers

Final answer:

Of Hectogram, Dekagram, Decigram, and Microgram, the largest unit is the Hectogram, as it equals 100 grams which is much larger than the other options.

Explanation:

Among the options you provided: Hectogram, Dekagram, Decigram, and Microgram, the largest unit is the Hectogram. Here is why: measuring units in the metric system increase or decrease by powers of 10. A hectogram equals 100 grams which is significantly larger than a Dekagram (10 grams), a Decigram (0.1 gram), and a Microgram (0.000001 gram).

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state Stoke's theorem​

Answers

Answer:

Explanation:

Stokes' theorem relates a surface integral of a the curl of the vector field to a line integral of the vector field around the boundary of the surface.

Final answer:

Stoke's Theorem relates the integral of differential forms over the boundary of a manifold to the integral of its exterior derivative over the manifold itself, commonly used in vector calculus and differential geometry.

Explanation:

Stoke's Theorem in mathematics is a statement about the integration of differential forms on manifolds, which both simplifies and generalizes several theorems from vector calculus. According to Stoke's Theorem, the integral of a differential form over the boundary of a manifold is equal to the integral of its exterior derivative over the manifold itself. Mathematically, it is expressed as ∫₋Σdω = ∫Σω, where dω is the exterior derivative of the form ω, Σ is the manifold, and ∂Σ is its boundary.

It is a powerful tool in both theoretical and applied mathematics, and in physics, particularly in the fields of electromagnetism and fluid dynamics. In simple terms, it establishes a relationship between the flow of a vector field through a surface and the behavior of the vector field along the boundary of that surface. This theorem is used in the analysis of vector fields and is fundamental in the area of differential geometry.

What is one reason that writing clear step-by-step procedures is important?
A. It prevents you from faking results.
B. It makes repetition and replication easier.
C. It makes sure that no one copies your work.
D. It prevents anything from going wrong during the experiment.

Answers

Answer:

D. It prevents anything from going wrong during the experiment.

Explanation:

One reason that writing clear step-by-step procedures is important because it prevents anything from going wrong during the experiment.

Electrostatic charges are created by _____.

stripping outer electrons from substances

running electric current through a substance

stripping protons from the nucleus of a substance

running a substance through a magnetic field

Answers

Answer:

Electrostatic charges are created by stripping outer electrons from substances - first choice.

If the magnitude of the electrostatic force felt by a charge is three times that from another charge, but their charges are the same, then the electric field strength of this charge is _____ the strength of the other charge.

three times
nine times
one-third
one-ninth

Answers

Answer:

three times

Explanation:

F=Eq

3F=3Eq

Answer:

three times

Explanation:

The relation between the force and the electrostatic field is given by

F = q E

where, F be the force , q be the charge and E be the strength of electrostatic field.

Here the charge is q

F = q E .... (1)

Now the charge remains same but the force three times, let E' be the electrostatic field strength.

3F = q E'    .... (2)

Divide equation (2) by equation (1)

E' / E = 3F / F

E' = 3 E

You have 13.0 gallons of gasoline. How many liters is this? (1 gallon equals
about 3.79 L.)

Answers

Answer:

I believe the answer is C

Explanation:

For this case we must make a conversion, we have as data that:

1 gallon is equivalent to 3.79 liters

By making a rule of three we have:

1 gallon ------------> 3.79 L

13 gallons --------> x

Where "x" represents the equivalent in liters:

[tex]x = \frac {13 * 3.79} {1}\\x = 49.27[/tex]

So, we have 49.27 liters of gasoline.

Answer:

Option C

During an experiment, you take a measurement of 3.5 inches. What is this
measurement in centimeters? 1 in = 2.54 cm.
A. 3.5 cm
B. 8.89 cm
C. 1.38 cm
D. 12.5 cm

Answers

B. 8.89 (hope this helped.)
You can solve by just doing 3.5in * 2.54
Final answer:

The conversion of 3.5 inches to centimeters using the conversion rate of 1 inch equals 2.54 cm results in a value of 8.89 cm.

Explanation:

To convert the measurement from inches to centimeters, we need to use the conversion rate given in the question, i.e., 1 inch equals 2.54 centimeters. In this case, since we have a measurement of 3.5 inches, we multiply 3.5 by 2.54 to find the measurement in centimetres.

So, 3.5 inches * 2.54 cm/inch = 8.89 cm. Therefore, the measurement of 3.5 inches in centimeters is equal to 8.89 cm which corresponds to option B.

So option B.8.89 cm is the correct answer.

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Type the correct answer in the box. Use numerals instead of words.
input force:
52N
input forcen
output force: 156 N
The mechanical advantage shown in the image is

Answers

Answer:

3

Explanation:

The mechanical advantage is the ratio of the output force to the input force.

MA = 156 / 52

MA = 3

Final answer:

The mechanical advantage in the scenario provided, where the input force is 52N and the output force is 156N, is calculated to be 3.

Explanation:

The mechanical advantage of a simple machine tells us how many times the input force is multiplied by the machine. To calculate the mechanical advantage (MA), you divide the output force by the input force. Given an input force of 52N and an output force of 156N, the mechanical advantage would be calculated as MA = Output Force / Input Force = 156N / 52N = 3.

Two bricks of the same mass are each on ledges. Brick 1 is 100 feet high and Brick 2 is 300 feet high. Brick 2 has:

1. zero times more potential energy

2. two times more potential energy

3. three times more potential energy

4. four times more potential energy

5. nine times more potential energy

Answers

Answer: 3 times more potential energy

Explanation:

Final answer:

Brick 2 has three times more gravitational potential energy than Brick 1, as it is three times higher and both bricks have the same mass. The potential energy is calculated using the formula GPE = mgh.

Explanation:

The question relates to the concept of gravitational potential energy (GPE), which is the energy an object possesses by virtue of its height above the ground and its mass. The formula to calculate GPE is GPE = mass x gravitational field strength (g) x height. For comparable masses, the only variable affecting the potential energy is height. Given that Brick 1 is at 100 feet and Brick 2 is at 300 feet, the potential energy is directly proportional to height since mass and gravitational acceleration are constant.

Therefore, Brick 2 has three times the potential energy of Brick 1 because it is at three times the height (300 feet compared to 100 feet). This relationship is captured by the formula GPE = mgh, where m is the mass, g is the acceleration due to gravity (assumed constant here), and h is the height.

Choose the letter of the answer that best completes
the statement or answers the question.
1. If a vehicle increases its speed from 20 mph to 60
mph, its braking distance will increase by
a. 3 times.
b. 4 times
c. 9 times.
d. 40 times.

Answers

The letter C would be the correct answer.

Answer:

The answer is:

c) 9 times

Explanation:

20/60= 3 x 3=9


A 60 kg bungee jumper jumps from a bridge. She is tied to a bungee cord that is 15 m long
when unstretched and falls a total distance of 31 m. Calculate
(i) the spring constant of the bungee cord.
(ii) the maximum acceleration experienced by the jumper​

Answers

Answer:

(i) 140 N/m

(ii) 28 m/s²

Explanation:

(i)

At the top of the jump, the bungee jumper has gravitational potential energy.

At the bottom of the jump, the bungee jumper has elastic potential energy.

mgh = ½ kx²

(60 kg) (9.8 m/s²) (31 m) = ½ k (31 m − 15 m)²

k = 140 N/m

(ii)

At the bottom of the jump:

∑F = ma

kx - mg = ma

(140 N/m) (31 m − 15 m) − (60 kg) (9.8 m/s²) = (60 kg) a

a = 28 m/s²

Final answer:

The spring constant of the bungee cord is approximately found to be 36.75 N/m, and the maximum acceleration experienced by the jumper is approximately 7.6 m/s^2.

Explanation:

To answer the first part of your question: (i) the spring constant of the bungee cord, we will use Hooke's law which states: F = kx. Here, 'F' is the force, 'k' is the spring constant, and 'x' is the distance stretched. Because the bungee jumper is in free fall, the force acting on her is equal to her weight, so F = m*g = 60kg * 9.8m/s^2 = 588N. The distance stretched would be the total distance fallen minus the original length of the cord, so x = 31m - 15m = 16m. Hence, the spring constant k = F/x = 588N / 16m = 36.75 N/m.

For the second part: (ii) the maximum acceleration experienced by the jumper, when the jumper is at the bottom of the fall, the potential energy has completely converted to elastic potential energy. Thus, .5*k*x^2 = m*g*h. Substituting the found values of k and h (total distance), you can solve for the acceleration, which is approximately 7.6 m/s^2.

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6. On a quiet day, the atmospheric pressure results in a force of about 10,0000 N on a window pane with an area of 1 square meter. a. Why does this large force not shatter the window? b. How will this change if a strong wind is blowing across the window pane?

Answers

Explanation:

a. The same atmospheric pressure that's pushing the window from the outside is also pushing on the window from the inside.  So the forces are balanced.

b. If a strong wind is blowing across the window pane, the pressure will drop, as described by the Bernoulli principle.  So the pressure inside will be greater than the pressure outside, causing the window to bow out a little.

Final answer:

The large force applied by atmospheric pressure does not shatter a window because it is evenly distributed and balanced by internal pressures. A strong wind can change the pressure on the window by creating a differential. Air pressure is considerable but not damaging due to balance with internal body pressure.

Explanation:

Atmospheric Pressure and Its Effect

a) On a quiet day, the atmospheric pressure results in a force of about 100,000 N on a window pane with an area of 1 square meter. This large force does not shatter the window because the pressure is exerted evenly over the entire surface of the window and is balanced by internal pressures within the building.

b) If a strong wind is blowing across the window pane, the pressure on the window will change due to the wind's pressure differential causing a net force that could potentially cause damage if strong enough.

The following diagram shows resistors in a circuit.

Answers

Answer:

The following diagram shows resistors in a series circuit.

What are two examples of goods and two examples of services

Answers

The goods and the services make up the basis of every economy. The goods can simply be defined as merchandise or possessions. The services can be defined as the actions through which help is provided, or work is done for someone else. Example of goods are the food and furniture, with the food being crucial for the survival of the people, while the furniture is an essential part of every home and its practicality and decor. Examples of services are teaching and car repairing. The teaching is crucial for the development of the societies, as through it the people get education, while the repairing of cars is very important as lot of people have them, can not afford to buy new ones all the time, and they need for their daily movement over longer distances.


A trained sea lion slides from rest down a long
ramp into a pool of water. If the ramp is inclined at
an angle of 23° above the horizontal and the
coefficient of kinetic friction between the sea lion
and ramp is 0.26. Calculate the acceleration of the
sea lion as it slides down the ramp.​

Answers

Answer:

1.5 m/s²

Explanation:

Draw a free body diagram.  There are three forces acting on the sea lion: gravity pulling down, normal force perpendicular to the ramp, and friction parallel to the ramp.

Sum of the forces perpendicular to the incline:

∑F = ma

N − mg cos θ = 0

N = mg cos θ

Sum of the forces parallel to the incline:

∑F = ma

mg sin θ − Nμ = ma

Substitute for N:

mg sin θ − (mg cos θ) μ = ma

g sin θ − g cos θ μ = a

a = g (sin θ − μ cos θ)

Given θ = 23° and μ = 0.26:

a = 9.8 (sin 23 − 0.26 cos 23)

a = 1.48

Rounded to two significant figures, the sea lion accelerates at 1.5 m/s².

The acceleration of the sea lion will be "1.484 m/s²".

Given:

Coefficient of Kinetic energy = [tex]0.26[/tex]Angle = [tex]23^{\circ}[/tex]

By using the Newton's second equation, we get

→ [tex]mgSin \Theta-F_k = ma[/tex]

or,

→ [tex]mgSin \Theta-\mu mg Cos \Theta =ma[/tex]

→       [tex]g Sin \Theta-\mu g Cos \Theta =a[/tex]

hence,

The acceleration will be:

→ [tex]a = 9.8 Sin 23^{\circ} - 0.26\times 9.8\times Cos23^{\circ}[/tex]

     [tex]= 1.484 \ m/s^2[/tex]

Thus the above response is correct.

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What must a magnet always have?

Answers

Answer:

Every magnet has both a North and a South pole. When you place the North pole of one magnet near the South pole of another magnet, they are attracted to one another. When you place like poles of two magnets near each other (North to North or South to South), they will repel each other.

Answer:

All magnets, regardless of their shape or application, must have two poles, the north pole (N) and the south pole (S), which are called magnetic poles.

Explanation:

Magnets are ferromagnetic materials that have the property of attracting or repelling other magnets. In addition, it is characteristic for materials of this nature (ferromagnetic) to be strongly magnetized in the presence of a magnetic field.

All magnets, regardless of their shape or application, must have two poles, the north pole (N) and the south pole (S), which are called magnetic poles. Another important characteristic of magnets is the inseparability of the magnetic poles, that is, it is not possible to find a magnet with only the north pole or only with the south pole. Thus, when a magnet is broken, it will give rise to two new magnets and the polarity of these new magnets will depend on the way in which it partitioned.

Which of the following is true of semiconductors?

A. Exposing a crystal of a semiconductor to heat or light starts displacing valence electrons, which then move throughout the crystal.

B. A material is classified as a semiconductor if its resistance to the flow of electric current is too low to permit it to be called a conductor.

C. Neither free electrons nor holes are considered charge carriers in a semiconductor.

D. Gold and silver are important semiconductors

Answers

Answer:

A. Exposing a crystal of a semiconductor to heat or light starts displacing valence electrons, which then move throughout the crystal.

Explanation:

A semiconductor has several properties, the main two are:

1. Under no special treatment and polarization conditions, there can't be current flow through it due to the high resistance.

2. The semiconductor material can have special change in its structure (excess of electron or holes), to be conductive under certain polarization situations.

Final answer:

The correct answer is A, as semiconductors conduct electricity when valence electrons are displaced by heat or light, and these electrons move throughout the crystal. The other options are incorrect; semiconductors are not classified by low resistance, both free electrons and holes are charge carriers in semiconductors, and gold and silver are conductors, not semiconductors.

Explanation:

The correct answer to which of the following is true of semiconductors is A. Exposing a crystal of a semiconductor to heat or light starts displacing valence electrons, which then move throughout the crystal. Semiconductors like silicon have a filled valence band and an unfilled conduction band, with a relatively small energy gap between the two. When moderate amounts of energy, such as heat or light, are provided, electrons can move from the valence band to the conduction band, becoming free to move throughout the crystal and thereby conduct electricity.

Option B is incorrect because semiconductors are not classified by their low resistance, but by their ability to conduct electricity under certain conditions, such as temperature or doping with impurities. Option C is not true, as both free electrons and holes act as charge carriers in a semiconductor. Lastly, option D is incorrect because gold and silver are conductors, not semiconductors. They are known for their excellent ability to conduct electricity due to their many free electrons.

Semiconductors' unique properties are utilized extensively in the creation of integrated circuits (IC) and other electronics, including diodes and transistors that are fundamental to modern technology.

The voltmeter reads 117 V and ammeter reads 0.13 A .If the resistance of ammeter and voltmeter are 9 kilo ohm and 0.015 ohm respectively ,find the value of R. 3marks

Answers

R = 899.985Ω.

The ammeter gives a lecture of  I = 0.13A through the resistor and  the voltmeter gives a lecture of V = 117V between the points a and c, the ammeter resistance is Ra = 0.015Ω. So, the voltmeter reading is the sum of the potential difference Vbc (through the ammeter) and Vab (through the resistor).

To obtain the voltage Vbc through the ammeter from its known current and resistance, Ohm's law is used.

Vbc = I*Ra = (0.13A)(0.015Ω) = 0.00195V

Vab = V - Vbc = 117V - 0.00195V = 116.99805V

We know that Vab = I*R. Clear R from the equation:

R = Vab/I = 116.99805V/0.13A = 899.985Ω

A softball player hits a ball at
29.5 m/s at a 33.0° angle. An
outfielder catches the ball at the same height. How far was the
outfielder from the hitter?

Answers

Answer:

81.1 m

Explanation:

Given:

x₀ = 0 m

y₀ = y = 0 m

v₀ₓ = 29.5 cos 33.0° m/s

v₀ᵧ = 29.5 sin 33.0° m/s

aₓ = 0 m/s²

aᵧ = -9.8 m/s²

Find:

x

First, find the time it takes to land.

y = y₀ + v₀ᵧ t + ½ aᵧt²

0 = 0 + (29.5 sin 33.0) t - 4.9 t²

t = (29.5 sin 33.0) / 4.9

t = 3.28 s

Now in the x direction:

x = x₀ + v₀ₓ t + ½ aₓt²

x = 0 + (29.5 cos 33.0) (3.28) + 0

x = 81.1 m

The outfielder was 81.1 meters away.

what is change in internal energy if 30j of heat are released from a system that does 50j of work on its surroundings

Answers

Answer:

-80 J

Explanation:

The first law of thermodynamics states that:

[tex]\Delta U = Q - W[/tex]

where

[tex]\Delta U[/tex] is the change in internal energy of the system

Q is the heat absorbed by the system

W is the work done by the system

In this problem, we have:

Q = -30 J is the heat released by the system (negative because the system releases it)

W = +50 J is the work done by the system on the surrounding (positive since it is done by the system)

Therefore, the change in internal energy is

[tex]\Delta U = -30 J - (+50 J) = -80 J[/tex]

Answer: -80 J

Explanation:

HOW Tar does a car go in 30 seconds at a speed of 29 m/s? (the equation for
distance is d = st.)
A. 1.03 m
B. 900 m
C. 59 m
D. 870 m

Answers

Solution;
Given,
Time taken(t) =30s
Speed(s) =29m/s
Then,by using the equation,we get
d=st=29*30=870 m.Ans

Answer:B

Explanation:it’s the answer

20. Which of the following is an accurate statement?
A. DC generators produce current with a voltage that changes from positive to negative
B. AC generators produce current that's pulsating but always remains positive,
C. Step-up voltage transformers have fewer turns in the primary than in the secondary winding.
D. Step-down voltage transformers have a different number of turns in the primary than in the secondary winding, so they change the incoming voltage to a higher voltage​

Answers

A transformer consists of two loops of wire with an AC current going through the "primary" loop inducing a voltage, and therefore a current, in the "secondary" loop.

The ratio of the induced voltage in the secondary loop to the voltage in the primary loop is equal to the ratio of the number of turns in the secondary loop to the number of turns in the primary loop.

A step-up transformer is designed to make the induced voltage in the secondary loop greater than the voltage in the primary loop. This requires the primary loop to have fewer turns than the secondary loop.

Choice C

A step-down voltage transformer changes incoming voltage to a lower voltage by having a different number of turns in the primary than in the secondary winding.

A step-down voltage transformer has a different number of turns in the primary than in the secondary winding, which allows it to change the incoming voltage to a lower voltage. Transformers are devices that work with alternating current (AC) voltages, where the current direction and voltage polarity alternates back and forth. The number of windings in the primary and secondary coils determine whether a transformer is a step-up or step-down transformer.

what is the process by which rock fragments are moved from the source

Answers

Answer:

Sedimentary

Explanation:

The process by which rock fragments are moved from the source is Sedimentary.

Answer:

Sedimentary

Explanation:

a process by which rock fragments are moved from the source

how far does a car go in 30 seconds at a speed of 29 m/s?​

Answers

Answer:

870 metres

Explanation:

Speed = Distance/Time

Distance = Speed x Time

Distance = 29 x 30

= 870 metres

870 just took the test got it right

Why can gases and liquids both transmit heat by convection?

A. Their particles are free to move away from each other.

B. They both have fixed volume.

C. They both contain charged particles.

D. Their particles both vibrate around fixed positions.​

Answers

Answer:

A. Their particles are free to move away from each other.

Explanation:

Answer:

Gases and liquids both transmit heat by convection because their particles are free to move away from each other (option A).

Explanation:

Convection is a process in which heat is transferred between two liquid substances, between two gaseous substances or a gas and a liquid when they are at different temperatures. The heat flux is produced from the body with the highest temperature to the substance with the lowest temperature.

The transmission of heat by convection is based on the actual movement of the molecules of a substance. Both liquids and gases are considered fluids where their particles are free to move away and move from each other. In solids particles vibrate around fixed positions and have a fixed volume .

Gases and liquids both transmit heat by convection because their particles are free to move away from each other (option A).

define1n force ? write down cgs unit of force​

Answers

Force is a vector, it has direction, it can move objects and it was well described with laws by physicist Isaac Newton by which the units of force were named Newtons (N).

Hope this helps.

r3t40

1 Newton is the force that accelerates 1 kg of mass at the rate of 1 m per sec^2.

In the cgs system, the unit of force is the dyne. That's the force that accelerates 1 gram of mass at the rate of 1 cm per sec^2.

So 1 Newton of force is 100,000 dynes.

What force accelerates a 500 kg object at 5 m/s2? A. 25000 N B. 2000 N C. 250 N D. 2500 N

HELP ME PLEASE!!!

Answers

Apply Newton's second law of motion:

F = ma

F = force, m = mass, a = acceleration

Given values:

m = 500kg

a = 5m/s²

Plug in and solve for F:

F = 500(5)

F = 2500N

Choice D

Final answer:

The force that will accelerate a 500kg object at a rate of 5m/s2 is calculated using Newton's second law of motion. By applying the formula Force = Mass x Acceleration, we find that the force needed is 2500 N (Option D).

Explanation:

The force that will accelerate a 500kg object at a rate of 5 m/s2 is calculated using Newton's second law, also known as the law of motion. This law states that the force exerted on an object is equal to the mass of the object multiplied by the acceleration of the object. In this case, we can use this formula: Force = Mass x Acceleration. Substituting the values given, we have Force = 500kg x 5m/s2, which gives us 2500 Newton (N). So, option D (2500 N) is the correct answer.

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QUESTION 6
One important way to adapt to diverse cultures is to
form a social group by choosing others who are most like you
stay quiet if you witness prejudice or hate in action
avoid studying languages you do not already speak
look past external characteristics and get to know more about people
QUESTION 7
Stress does not tend to be high among college students.
True
False

Answers

Question 7 is false

Answer: 1. look past external characteristics and get to know more about people

2. False

Explanation:

1. The learning the past external characteristics and get to know about people who belong to diverse culture and their contribution for the overall society, region, state and nation is likely to bring the spirit of brotherhood. This will raise the feeling of unity and will help in adapting diverse culture.

2. The students of college are likely to get stress due to increase in complexity in studies. Some students also participate in extra-curricular activities along with studies which makes their schedule hectic and tiring this bring stress to their lives.        

Other Questions
A triangle has two sides of lengths 7 and 9. What value could the length of the third side be? Amanda disagrees with her roommate about how they should divide the work of cleaning their apartment. While discussing it with her roommate, Amanda states her position clearly and honestly, makes eye contact with her roommate and listens respectfully to her proposal. What is Amandas communication style? Question 2 The Dietary Guidelines for Americans recommend that you a include some oils in your diet b eliminate all fat and oils from your diet c add processed sugars and additional sodium to your diet d limit grains of any kind from your dietQuestion 3 Skipping occasional meals can a result in quick and safe weight loss if only done once per day b periodically provide fasting benefits such as faster metabolism c result in weight loss that resets the metabolism to its normal function d trigger impulsive nutritional choices throughout the dayQuestion 4Within an hour of getting out of bed in the morning, you should eat a breakfast that isa high in protein and fat b healthy and balanced c fewer than 200 calories d high in carbohydrates Which of the following functions from R rightarrow R are one-to-one (injective), onto (surjective), or both (bijective)? Prove your answers. a. f(x) = 5x + 4 b. g(x) = 2x^2 - 2 c. h(x)= 1 + 2/x, x notequalto 0. Write a recursive method to return the number of uppercase letters in a String. You need to define the following two methods. The second one is a recursive helper method. public static int count(String str) public static int count(String str, int high) For example, count("WolFIE") returns 4. Which of the following is equivalent to the expression below?(-300)A. -10i (3)B. -3i (10)C. 3i (10)D. 10i (3) Given the diagram below, which of the following ordered pairs represents thevertex, A?A. (b cos C,c sin C)B. (a cos B, a sin B)C. (a cos C, b sin C)D. (b cos c, b sin c) Let A, B R be non-empty sets. Suppose that A B. Suppose that B has a least upper bound. Prove that A has a least upper bound, and lub A lessthanorequalto lub B. A concrete highway is built of slabs 15 m long. If the coefficient of linear expansion for concrete is 1.2 x 10-5 K-1, how wide should the expansion gaps be between the slabs to prevent buckling of the slabs when temperature changes from -20oC in the winter to 48oc in the summer? Carbon dioxide at 20C flows in a pipe at a rate of 0.005 kg/s. Determine the minimum diameter required if the flow is laminar (answer in m). Find the next two terms in the sequence.0, 1, 4, 9, ...oo o16, 2513, 17o13, 18o16, 23 True / FalseVariable length instructions generally use memory more efficiently than fixed-length instruction sets. How does Williams set up a contrast between birth and death in "Landscapewith the Fall of Icarus"? What is the distance between the points (2,-3) and (-6,4) on the coordinate plane? Complete the solution of the equation. Find the value of y when x equals 1. 9x+7y=-12 A particle moves along a straight line with a velocity in millimeters per second given by v = 301 - 16t2 where tis in seconds. Calculate the net displacement s and total distance D traveled during the first 5 seconds of motion. Answers: s = m D = m What is one of the problems with project managementsoftware?The project manager manages the software instead of theprojectProject duration calculations are sometimesapproximateYou cannot override the project management softwaredecisions regarding scheduleIts expensive and difficult touse Since air is a mixture, it does not have a "molar mass." However, for calculation purposes, it is possible to speak of its "effective molar mass." (An effective molar mass is a weighted average of the molar masses of a mixture's components.) If air at STP has a density of 1.285 g/L, its effective molar mass is ________ g/mol. Look at the figure. Find TW Write an overloaded constructor for the Table class that will take a single argument for the color of the table Write a set method (also known as a mutator method) for the color attribute.