the orbital period of saturn is 29.46 years. determine the distance from the sun to the planet in km

Answers

Answer 1

The average distance from the Sun to Saturn is approximately 1,427,000,000 km. To calculate this, we can use the Third Kepler's Law of Planetary Motion, which states that the square of the orbital period of a planet is proportional to the cube of the semi-major axis of the orbit.

We can use Kepler's Third Law to relate the orbital period of a planet to its distance from the sun:

T^2 = (4π^2 / GM) * r^3

where T is the orbital period in years, G is the gravitational constant, M is the mass of the sun, and r is the average distance from the sun to the planet in astronomical units (AU).
Therefore, we can use the formula:

d^3 = (T^2 * 4π^2)/G*M

Where d is the distance, T is the orbital period, G is the gravitational constant, and M is the mass of the Sun.


Plugging in the values:

d^3 = (29.46^2 * 16π^2)/(6.67408 * 1.989 * 10^30)
d = 1,427,000,000 km

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Related Questions

how much does a change in mass affect the kinetic energy of two balls of comparable diameter?​

Answers

Answer:

Mass and kinetic energy have a positive relationship, which means that as mass increases, kinetic energy increases, if all other factors are held constant.

In this state, Kinetic energy is equal to half of the product mass and velocity. SI unit is joules. So it's if the mass is doubled then the kinetic energy also gets doubled.

if the amount of work done remains constant but occurs over less time how does this affect the amount of power exerted?

Answers

Answer:

The amount of power will be increased.

Explanation:

If the work remains constant but the time is reduced the power increases. Since power is defined as the relationship between work overtime. By means of the following equation, we can see this relationship.

\(P=W/t\)

where:

P = power [Watts]

W = work [J] (units of joules)

t = time [s]

Let's assume with an example the above written.

If we have an electric motor that exerts a work of 950 [J], and the time used is 5 [s], the power is:

\(P = 950/5\\P = 190 [W]\)

Now if we want to accelerate the work done and use 2 seconds for the time, we will have:

\(P=950/2\\P=475 [W]\)

We want to see how maintaining the work constant but reducing the time in which it occurs affects the power. We will see that the power increases.

We define power as the amount of work done per unit of time.

So we can compute power as the quotient between the work done and the time in which it is done.

So, if we reduce the time in which the work is done, then the denominator is smaller, thus, the power will be larger.

This means that maintaining the work constant, and reducing the time in which it is done, increases the amount of power exerted.

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The speed, v, of an object moving along a straight line can be given in terms of time, t by v = at +b/(t-c)where a, b, c are constants. Assume, the expression is physically correct. If the dimensions of v are L/T, determine the dimensions of the terms a, b and c. Carefully layout your procedure.

Answers

Given

\(v=at+\frac{b}{t-c}\)

Procedure

Dimensions of v are L/T

The answer would be:

\(LT^{-2},L\text{ and T}\)

The letter a is multiplying to one dimension in time, so it must be a value of distance over two of time. LT^(-2)

The letter b is in the numerator so it must be a distance dimension. L

The letter c is being operated as a subtraction in the denominator so it must be time T

why would hydras avoid reproducing asexually when condition are difficult?

Answers

Answer:

I'm soooooooo happy you asked the answer is yes

A proton and an electron in a hydrogen atom are separated on the average by about 4.8x10-11 m. what is the magnitude and direction of the electric field set up by the proton at the position of the electron?

Answers

A proton and an electron in a hydrogen atom are separated on the average by about 4.8x10-11 m. The magnitude and direction of the electric field set up by the proton at the position of the electron is (E)=  6.24×10¹¹ N/C.

What is electric field?

The electric field is a field that is created by any positive or negative charge. In an atom the electron or proton that creates a field that called the electric field.

How can we calculate the electric field?

To calculate the electric field we are using the formula here ,

E= k(q/r²)

Where we are given,

k= The Coulomb's constant . = 8.99 ×10⁹ N.m²/C²

q= The charge of the electron. = 1.6×10⁻¹⁹ C

r= The distance of separation of atom. = 4.8×10⁻¹¹ m.

We have to calculate the electric field of the atom. = E

Now we put the values we get,

E= k(q/r²)

Or, E=  8.99 ×10⁹×(1.6×10⁻¹⁹/(4.8×10⁻¹¹)²)

Or, E=  6.24×10¹¹ N/C

Now we can say that, The magnitude and direction of the electric field set up by the proton at the position of the electron is (E)=  6.24×10¹¹ N/C.

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Newton's first law states that objects do not change their velocity unless acted upon
by an outside force. When throwing a ball the ball initially accelerates from the force
provided by your arm and then begins to slow down.
What force(s) are responsible for the deceleration of the ball?

Answers

Answer:

Air resistance/Drag (this is the proper term for air resistance) or gravity or friction

It depends on the direction and if you throw it across a surface or if you throw it straight upwards.

I hope this helps!!

Answer:

Newton's first law: An object at rest remains at rest, or if in motion, remains in motion at a constant velocity unless acted on by a net external force.

Explanation:

A man can use a snowblower to move snow in 5 minutes. If he moves it with a shovel, will take 20 minutes. He will use more power with which process?

Answers

Answer:

the second process of using the the shovel to move the snow as it takes a longer time meaning more power is expended

A 4 coulombs charged particle experiences an electric force of 200 N when placed at point P in an electric field. The magnitude of the electric field at point P is :
a) 5 N/C
b) 800 N/C
c) 0.02 N/C
d) 50 N/C

Answers

(d) 50N/C

The magnitude of the electric field at point 'P' is 50N/C.

It is derived from the basic concepts of Electrostatics. Coulomb's Law is the basis of relations in Electrostatics. It resembles Newton's Law of Gravitation.

Using the relation between Electric force, charge, and Electric field:

                                          F = qE

F = 200N; q = 4C

                                     200 = (4)E

                                          E = 50N/C  

It is widely used in the calculation of Electric Force and Electric Field. The S.I. Unit of the Electric Force is Newton. The S.I. Unit of the Electric Field is N/C. The S.I. Unit of charge is Coulomb.

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NEED HELP

questlon 2 of 10 When he designed his experiment, Marcos found that he had three small vials of the same size and two slightly larger ones. He did not think that the vials were close enough in size to use them all at once in comparing the properties of the different liquids. How could he solve this problem?

A. Add a few drops of salt to the smaller vials to increase the surface tension of the liquids.

B. Add a few drops of salt to the larger vials to increase the surface tension of the liquids.

C. Use vials that are the same size, and wash and dry them well in between uses.

D. Add more liquid to the larger vials so that they come up to the same height​

Answers

Answer: C.

Explanation:

Just took quiz

A student is studying the ways different elements are similar to one another. Diagrams of atoms from four different elements are shown below.

Which two atoms are of elements in the same group in the periodic table?

A student is studying the ways different elements are similar to one another. Diagrams of atoms from

Answers

Answer:atom one and atom four

Explanation:

A pump is used to spray water from a pool, determine
the maximum power of the pump. If 40 litres of water
water from a pool, determine
is pumped per minute and the spray reaches the maximun
height of 60m (assume that I litre of water has a mass
of 1 kg and that g = 10ms ²²).

Answers

The maximum power of the pump is 24,000 W.

How did we get the value?

To determine the maximum power of the pump, we need to calculate the work done by the pump in lifting the water to a height of 60m.

First, we need to find the weight of the water that is pumped per minute:

40 litres of water * 1 kg/litre = 40 kg

Next, we can calculate the work done by the pump using the formula for work done by a force:

W = F * d

Where W is the work done, F is the force applied and d is the distance moved.

Since the weight of the water is the force acting on it, we can use that in the above formula:

W = 40 kg * 10 m/s^2 * 60 m = 24,000 J/minute

Finally, we can convert the work done per minute to power, using the formula:

P = W / t

Where P is the power and t is the time taken.

Since we know that 40 litres of water are pumped in 1 minute, we can use that as t:

P = 24,000 J/minute / 1 minute = 24,000 W

So, the maximum power of the pump is 24,000 W.

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The human nerve cells have a net negative charge and the material in the interior of the cell is a good conductor. if the cell has a net charge of - 7.85 pc, what are the magnitude and direction (inward or outward) of the net flux through the cell boundary

Answers

The magnitude and direction (inward or outward) of the net flux through the cell boundary is - 0.887 wb.m².

What is flux?

Flux describes any effect that appears to pass or travel through a surface or substance.

The magnitude and direction (inward or outward) of the net flux through the cell boundary is calculated as follows;

Ф = Q/ε

where;

Q is net chargeε is permittivity of free space

Φ = (-7.85 x 10⁻¹²)/(8.85 x 10⁻¹²)

Φ = - 0.887 wb.m²

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A particle possessing 6.25 ?C of charge and mass 6.55 g is fired at a speed of 459 cm/s through two charged plates of length 34.6 cm, as shown in the figure. If the electric field is constant at 2060 N/C between the two plates* and directed upwards, calculate the distance y in which the charge falls below its intended path.



Which field strength will allow the particle to pass between the plates along a straight path.

Answers

Coulomb's law states that the force of attraction or repulsion between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

Given, Charge

q = 6.25 × 10⁻⁶ C and mass

m = 6.55 g = 6.55 × 10⁻³ kg

Speed of the particle = v = 459 cm/s = 4.59 m/s

Length of the plates,

d = 34.6 cm = 0.346 m

Electric field strength,

E = 2060 N/C

Mathematically,
F ∝ Q₁Q₂/d²

The force on the charge q due to the electric field E is given by

F = Eq

Distance fallen by the particle is given

by = 1/2 gt²,

where g = acceleration due to gravity = 9.8 m/s²In the vertical direction, force on the charge F = mg

Since the charge falls below its intended path, the vertical component of the electric force is greater than the force due to gravity.

So,

we have

F = Eq = mg ⇒ qE = mg

⇒ y = 1/2 gt² = (qE/m) × (t²/2) = (qE/m) × [2y/g]²/2

⇒ y = [(qE/m) × (y/g)]²

⇒ y = (qE/mg)²/3 [∵ t = 2y/g]

Substituting the given values,

we gety = [(6.25 × 10⁻⁶ C × 2060 N/C) / (6.55 × 10⁻³ kg × 9.8 m/s²)]²/3= (1.233 × 10⁻²)²/3= 1.59 × 10⁻⁴ m = 1.59 × 10⁻² cm

Hence, the particle falls 1.59 × 10⁻² cm below its intended path.

Therefore, a field strength of 1.04 × 10⁴ N/C would allow the particle to pass through the plates along a straight path.

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what percentage of energy comes from renewable energy sources besides wood and charcoal burning?
10%
11%
12%
13%

Answers

13% of energy comes from renewable energy sources besides wood and charcoal burning.

According to the International Energy Agency's 2021 report, about 13% of the world's total primary energy supply comes from renewable energy sources such as hydroelectric, wind, solar, geothermal, and bioenergy. It's important to note that this percentage varies by country and region, with some areas relying more heavily on renewable energy than others. The transition to a more sustainable and renewable energy system is a crucial step towards mitigating climate change and reducing dependence on finite fossil fuels.

So the correct answer is 13% of energy comes from renewable energy sources besides wood and charcoal burning.

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A burner is placed below the right side of the beaker. Which image shows the motionvof of the liquid that will result? it's a gizmo
Convection cells

Answers

Answer:

the second picture

Explanation:

Answer: second picture

Explanation:

(it was right on my gizmo sheet)

An airplane is flying in a horizontal circle at a speed of 100 m/s. The 80.0 kg pilot does not want the centripetal acceleration to exceed 7.00 times free-fall acceleration.

Answers

Answer:

The force will be "5,488". A further solution is provided below.

Explanation:

The given values are:

speed,

v = 100m/s

mass,

m = 80 kg

acceleration,

a = 7

Now,

Radius will be:

⇒ \(r=\frac{v^2}{ac}\)

⇒    \(=\frac{(100)^2}{7\times 9.8}\)

⇒    \(=\frac{10000}{68.6}\)

⇒    \(=145.77\)

Force will be:

⇒ \(F=m\times ac\)

⇒     \(=80\times 68.6\)

⇒     \(=5488\)

what three things would you like to improve in your way of being towards others today if you knew that you would be born again?​

Answers

Answer: I would stop been shy, so I could be able to say what I think to others.  I would be nicer to others, behave better. I would share more with others.

PLZZ ANSWER THE QUESTION ​

PLZZ ANSWER THE QUESTION

Answers

Its Displacement and Time for sure.
Thank You!
Pls mark Brainliest!

an electric current is a(an) group of answer choices measured in joules per coulomb. flow of charge from low to high potential. flow of charge from high to low potential. movement of electrons at near the speed of light.

Answers

An electric current is a flow of charge.

Electric current refers to the movement of electric charge in a conductor. It is the flow of charged particles, typically electrons, through a conductor. Electric current is measured in units of amperes (A), which represents the rate at which charge flows. One ampere is equivalent to one coulomb of charge passing through a point in one second.

The other statements mentioned are not completely accurate:

   The movement of electrons at near the speed of light is not a complete definition of electric current. While electrons do indeed move in electric circuits, their speed is typically much slower than the speed of light.

   The electrical equivalent of gravitational potential difference is voltage or electric potential difference. It is related to electric current but not the same thing.

   Electric current is not measured in joules per coulomb. Joules per coulomb is the unit for electric potential or voltage. Electric current is measured in amperes (A), as mentioned earlier.

The question should be:

An electric current is a(an).....

(a) movement of electrons at near the speed of light

(b)flow of charge

(c)electrical equivalent of gravitational potential difference

(d) measured in joules per coulomb

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The bearing of grids of an AB alignment is 100º 22', while the magnetic declination is 8º30' E. What are the true azimuth, magnetic azimuth, and grid azimuth of this alignment?

Answers

The true azimuth of the AB alignment is 91º 52' (east of north), the magnetic azimuth is 100º 22' (east of north), and the grid azimuth is 108º 52' (east of north).

To find the true azimuth, magnetic azimuth, and grid azimuth of the AB alignment, we need to consider the magnetic declination. The magnetic declination indicates the angle between true north and magnetic north at a specific location. In this case, the magnetic declination is 8º 30' E, which means that the magnetic north is 8º 30' east of the true north.

To calculate the true azimuth, we subtract the magnetic declination from the grid azimuth. The grid azimuth is given as 100º 22', so subtracting the magnetic declination of 8º 30' E gives us a true azimuth of 91º 52' (east of north).

The magnetic azimuth remains the same as the grid azimuth, which is 100º 22' (east of north).

The grid azimuth is calculated by adding the magnetic declination to the true azimuth. Since the magnetic declination is east, we add it to the true azimuth. Adding 8º 30' E to the true azimuth of 91º 52' gives us a grid azimuth of 108º 52' (east of north).

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Water flowing through an 8-cm-diameter pipe enters a porous section, as in fig. P3. 10, which allows a uniform radial velocity vw through the wall surfaces for a distance of 1. 2 m. If the entrance average velocity v1 is 12 m/s, find the exit velocity v2 if (a) vw

Answers

What is average speed?

Average velocity is outlined because the amendment in position or displacement (∆x) divided by the time intervals (∆t) within which the displacement occurs.

The average velocity will be positive or negative relying upon the sign of the displacement. The SI unit of average velocity is meters per second (m/s or ms-1).

For a suction velocity of Vw = 0.15 m/s

Cylindrical suction expanse.

Aw = 2π (0.04) (1.2) = 0.30 lbm2

Q1 = Qw+Q1

(12* π * (0.08)2 / 4 = (0.15)(0.30) + V2 π

(0.08)2 / 4

V2 = 3 m/s

Hence, the exit velocity is Vw = 0.15 m/s

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What is the chemical formula for silver and oxygen

Answers

Answer:Ag2 O.

The formula for silver oxide is Ag2 O.

Explanation: one silver atom gives up an electron resulting in a +1 ion. Each oxygen atom requires two electrons to be stable.

predict the ratio of the periods, t1/t2, of two masses m1 and m2 (=4m1) that oscillate in shm on springs that have the same spring constant k.Show the reasoning behind your prediction.

Answers

The ratio of the periods, t1/t2, for the two masses m1 and m2 in simple harmonic motion (SHM) on springs with the same spring constant k is 1:2.

In SHM, the period of oscillation (T) is given by the equation:

T = 2π√(m/k)

where T is the period, m is the mass, and k is the spring constant.

Let's calculate the periods for the two masses:

For mass m1:

T1 = 2π√(m1/k)

For mass m2 (which is 4 times m1):

T2 = 2π√(m2/k)

To find the ratio of the periods, we divide T1 by T2:

t1/t2 = (T1)/(T2)

Substituting the expressions for T1 and T2:

t1/t2 = (2π√(m1/k))/(2π√(m2/k))

Canceling out the common factors of 2π, we get:

t1/t2 = (√(m1/k))/(√(m2/k))

Since m2 = 4m1, we can substitute this value:

t1/t2 = (√(m1/k))/(√((4m1)/k))

Simplifying further:

t1/t2 = (√(m1/k))/(2√(m1/k))

The square root terms cancel out, resulting in:

t1/t2 = 1/2

The ratio of the periods, t1/t2, for the two masses m1 and m2 that oscillate in SHM on springs with the same spring constant k is 1:2.

This means that the period of oscillation for the larger mass (m2) is twice the period of the smaller mass (m1).

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PLEASE ANSWER, I HAVE 5 MINUTES!!!!

Discuss the changes in potential energy, kinetic energy, and total energy for a
skateboarder going up and down on a half-pipe (U-shaped) ramp. Specifically address
the energies when the skater is at the highest point (A), half-way down the ramp (B),
and at the lowest point (C).

Answers

Answer:

I HAD THE SAME QUESTION AND SEARCHED IT UP AND GOT THE ANSWERS.

Explanation:

box with a weight of 20 n is initially at rest on a horizontal floor. a student applies a 1.5-n force horizontally to the box. the coefficient of static friction is 0.3. does the box move?

Answers

The box won't move because the force being exerted by the student is less than the maximum force of static friction.

We must compare the force exerted by the student to the maximum force of static friction that may be exerted on the box in order to ascertain whether or not the box moves.

The following formula determines the maximum static friction force:

s * N = Fs max

When N, the normal force acting on the box in this instance, is equal to the box's weight, and s, the coefficient of static friction, are both present.

N = mg = 20 N

Fs max=0.3 x 20 N = 6 N

The box won't move because the force being exerted by the student is less than the maximum force of static friction. The imparted force will be opposed by the force of static friction, and the net force on the box will be zero.

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An apple sitting on a desk has 100 joules of potential energy what is the kinetic energy when the apple falls

Answers

Answer:

100 J

Explanation:

All of the PE will be converted to KE , so just as the apple strikes the ground it will have KE of 100 J   and PE will at that time = 0

Ahmad uses an electric pump to raise water to a reservoir on his farm. The pump is very noisy, and Ahmad’s uncle, who is an engineer, told him that only
50
%
50%50, percent of the energy it consumes is delivered as gravitational potential energy to the water. When Ahmad turns off the pump, he notices that when he touches it, it has not warmed up.
What happened to the electrical energy provided to the pump?

Answers

Electrical energy which is provided to the pump is transformed into gravitational potential energy and into sound in equal portions. Thus, the correct option is C.

What is the law of conservation of energy?

The principle of conservation of energy establishes that the energy cannot be created nor it can be lost alone. Energy can only be transformed, based on the principle of conservation of energy, the mechanical energy of the system is established as formed by the kinetic energy and the different in potential energies.

In this case, the electrical energy of the system is transformed into kinetic energy to raise the water temperature, when it reaches a height level where its actual speed is zero, all the mechanical energy is transformed into gravitational potential energy.

Therefore, the correct option is C.

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Your question is incomplete, most probably the complete question is:

Ahmad uses an electric pump to raise water to a reservoir on his farm. The pump is very noisy, and Ahmad’s uncle, who is an engineer, told him that only 50\%50%50, percent of the energy it consumes is delivered as gravitational potential energy to the water. When Ahmad turns off the pump, he notices that when he touches it, it has not warmed up.

What happened to the electrical energy provided to the pump?

a. It mostly transformed into gravitational potential energy, and a small portion transformed into sound.

b. It mostly transformed into sound, and a small portion transformed into gravitational potential energy.

c. It transformed into gravitational potential energy and into sound in equal portions.

d. It mostly transformed into sound energy and gravitational potential energy, and a small portion disappeared.

If a 0.3% decrease in the price of a good causes its quantity supplied to decrease by 1%, then the supply is: A. Unit elastic B. Elastic C. Inelastic D. Perfectly inelastic

Answers

If a 0.3% decrease in the price of a good causes its quantity supplied to decrease by 1%, then the supply is C. Inelastic.

In this scenario, the supply of the good is considered inelastic. The elasticity of supply measures the responsiveness of the quantity supplied to changes in price. When the price of a good decreases, and the quantity supplied decreases by a larger percentage, it indicates that the supply is relatively unresponsive to price changes.

To determine the elasticity of supply, we compare the percentage change in quantity supplied to the percentage change in price. In this case, a 0.3% decrease in price results in a 1% decrease in the quantity supplied. Since the percentage change in quantity supplied (1%) is greater than the percentage change in price (0.3%), the supply is considered inelastic.

Inelastic supply means that producers are less responsive to price changes, and a small change in price leads to a proportionally smaller change in quantity supplied. In such cases, producers may find it challenging to adjust their output levels quickly in response to price fluctuations.

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Which is the correct Lewis structure for ethylene, CHA?
H
H
H H
1
CEC
1 1
H
H
C
C:
H
A.
H
B.
H
н
H
1
С
с
C.
С
1
н
H
H
C.
H
D
•HlclH|
H
I-Ö-I
E
ΟΑ. Α A
OB.
B
Ос. с
ODD
ОЕ Е E

Answers

Answer:

:c: H* : A: :C: H* :A: :C: H* :A:

Which of the following best completes the sentence for Newton's Third Law? In every interaction,
forces occur in

A. specific places
B. single units
C. one direction only
D. pairs

Answers

Answer:

D in pairs

Explanation:

Forces always come in pairs - equal and opposite action-reaction force pairs.

D , it comes in pairs
Other Questions
The ____________ layer is the bottom layer, whose job it is to convert bits into signals and vice versa. Verify that W is a subspace of V. Assume that V has the standard operations.W is the set of all 3x2 matrices of the form [a,b;(a+b),0;0,c] and V=M[-subscript-(3,2)] (4) Practice: Using Visual Cues Immanuel is a person who always does what is right. For instance, when he encounters someone who needs money, he gives them money, but does not give too much or too little. Although it is a constant struggle for him to do the right thing and part with his money, he always does it out of a sense of duty. Would Aristotle say that Immanuel is virtuous? What is the difference between cold storage and dry storage of grains? The economic growth model predicts that poor countries will grow __________ than richer countries.A) slowerB) in a more stable mannerC) faster If limestone is not lined with firebrick explain what would happen According to Gerhard Lenski, which of the following has the greatest power to shape a society?a. economic productionb. Calvinism and capitalismc. changing technologyd. increasing specialization mathematicians divide the world of numbers into at least seven subsets. list seven subsets and define each HELP ME!!!! DUE TODAY IF I GET IT RIGHT YOUR BRAINLIEST! hello how are u today? whats up!!!!!!!!!!!!1 fill in the blank. When passing, _____ only when you can see the tires of the vehicle you passed in your rearview mirror. For f (0,1)4 10,1) f(x) is obtained by removing the second bit from x and placing the bit at the end of the string. For example, f(1011) 1110 Select the correct value for f (0101) 0101 1010 0110 0011 Let f: A A and g: A-A be one-to-one functions. Which of the following statements are true? (Check all that apply) f o g is onto f o g is one-to-one f o g is invertible If f, g are also onto, then f o g is invertible. g o f is one-to-one universe gas law state that the volume (VM) of a given mass of an ideal gas varies directly with it absolute temperature (TK) an inversely with it pressure (pM/ m). A certain mass of gas at an absolute temperature 275K and pressure 10 N/ m has volume 0.0224m. find the formula that connect p, V, and T The data below represent a demand schedule. Product Price Quantity Demanded$30 1025 2020 3015 4010 50Using the midpoint approach, determine the price elasticity of demand between each of the following prices:Instructions: Round your answers to two decimal places. Enter your answers as a positive value (absolute value). a. Between P1 = $30 and P2 = $25, Ed= b. Between P1 = $25 and P2 = $20, Ed=c. Between P1 = $20 and P2 = $15, Ed= d. Between P1 = $15 and P2 = $10, Ed= | If Joe has 40 apples and bob steals 5, how many apples does Joe have an ore sample weighs 18.5 n n in air. when the sample is suspended by a light cord and totally immersed in water, the tension in the cord is 11.8 n n .find the total volume and density of the sample Metamorphism can transform a shale composed of clay (Diagram A) into a metamorphic rock containing many different minerals (Diagram B). The metamorphism of a pure quartz sandstone, however, yields a metamorphic rock containing only quartz. Why? Choose one: A. Quartz in a shale is different than quartz in a sandstone, so it will behave differently under metamorphic conditions. B. The sandstone is made up only of quartz (silicon and oxygen), and there are no other combinations these elements can be arranged into except polymorphs. C. Quartz is a very resistant mineral and does not undergo any metamorphic processes when subjected to intense heat and pressure. when the economy is in a liquidity trap, the federal reserve can use all of these policies to help the economy get out of a recession except: Suppose that the domain of discourse of the propositionalfunction P(x) is {1,2,3,4}. Rewrite each propositional function below using only negation, disjunction, and conjunction. (a) Vx P(x) (b) -(Vx P(x)) (c) 3x P(x) (d) -(E. P(x))