The radius of the planet Saturn is 5.85 ✕ 107 m, and its mass is 5.68 ✕ 1026 kg. (a) Find the density of Saturn (its mass divided by its volume) in grams per cubic centimeter. (The volume of a sphere is given by 4/3 πr3.) g/cm3 (b) Find the surface area of Saturn in square meters. (The surface area of a sphere is given by 4πr2.)

Answers

Answer 1

Answer:

1.) 0.68 g/cm^3

2.) 4.3 × 10^16 m^2

Explanation:

Given that the radius of the planet Saturn is 5.85 ✕ 107 m, and its mass is 5.68 ✕ 1026 kg.

Where (The volume of a sphere is given by 4/3 πr3.)

Substitutes r into the parameters

V = 4/3π × ( 5.85 × 10^7)^3

V = 8.39 × 10^23 m^3

Convert cubic meters to cubic centimeters by multiplying the result by 1000000

V = 8.39 × 10^29 cm^3

The mass in gram will be

5.68 ✕ 10^26 × 1000 = 5.68 × 10^29g

Density = mass/ volume

Substitute all the parameters into the formula

Density = (5.68 × 10^29) / (8.39 × 10^29)

Density = 0.68 g/cm^3

2.) The surface area of a sphere is given by 4πr^2.

Substitute r into the formula

Surface area = 4π × (5.85 ✕ 10^7) ^2

Surface area = 4.3 × 10^16 m^2


Related Questions

3. With a
you can measure just about anything.

Answers

MULTIMETER combines the functions of ammeter, voltmeter and ohmmeter as a minimum.

A large boulder has been perched on the side of a mountain for many years. What change would cause it to suddenly roll down the mountain?

Answers

Answer:

he weight vector approaches the point within the mass, the equilibrium becomes unstable

any change in the conditions of the environment can cause the rock to slide

Explanation:

In general, a rock in a mountain is in stable equilibrium with the help of the force of gravity that causes its weight to be within the center of mass, that is, the weight vector is first and then it is electing the center of mass.

When for some reason the weight vector approaches the point within the mass, the equilibrium becomes unstable, and any change in the conditions of the environment can cause the rock to slide, for example a rain that reduces the friction force.

It may happen that the weight vector is after the center of the hubs, in this case there is an unstable balance and the stone is held in place by the force of friction with the environment that surrounds it, if this friction decreases the rock will slide .

A cement block accidentally falls from rest from the ledge of a 55.9-m-high building. When the block is 11.2 m above the ground, a man, 1.70 m tall, looks up and notices that the block is directly above him. How much time, at most, does the man have to get out of the way?

Answers

Answer:

0.3 seconds approximately

Explanation:

Given that the height of the building is 55.9 m and cement block accidentally falls from rest from the edge of a 55.9-m-high building. The initial velocity of the block will be equal to zero. The final velocity will be achieved by using the formula:

V^2 = U^2 + 2gH

Where g = 9.8 m/s^2

H = 55.9m

V^2 = 0 + 2 × 9.8 × 55.9

V^2 = 1095.64

V = sqrt(1095.64)

V = 33.1 m/s

The velocity When the block is 11.2 m above the ground will be 33.1 m/s and the height h = 11.2 - 1.7 = 9.5 m

The time of escape can be calculated by using the formula;

h = Ut + 1/2gt^2

9.5 = 33.1t + 1/2 × 9.8 × t^2

9.5 = 33.1t + 4.9t^2

4.9t^2 + 33.1t - 9.5

By using quadratic formula to calculate the time, the negative value is ignored and the positive values will be the time the man has to get out of the way.

Please find the attached file for the remaining solution.

What did Greek philosophers, Isaac Newton, and others commonly use to explain
their observations?
A. journals
C. hand gestures
B. math
D. interpreters

Answers

Answer:

Hey there!

They used math to explain their observations, for example, Newton is famous for his three laws, and universal laws of gravitation.

Let me know if this helps :)

Help plssssss asap:(((

Answers

Answer:

5 blocks south

Explanation:

Answer:

5 blocks south

Explanation:

She ran 8 block south, then 3 blocks north.

8 - 3 = 5.

I WILL GIVE BRAINLIEST!! :) The value of the total current is: A. 3.5A B. 4.0 A C. 4.5A D. 5.0 A

Answers

Answer:

Option C. 4.5 A

Explanation:

We'll begin by calculating the equivalent resistance of R1 and R3. This can be obtained as follow:

R1 = 6 Ω

R3 = 3 Ω

Equivalent of R1 and R3 =?

Since R1 and R3 are in parallel connections, we shall their equivalence as follow:

Equivalent of R1 and R3 = (R1×R3) /(R1 + R3)

Equivalent of R1 and R3 = (6×3)/(6+3)

Equivalent of R1 and R3 = 18/9

Equivalent of R1 and R3 = 2 Ω

Next, we shall determine the equivalent resistance in the circuit.

This is illustrated below:

R2 = 2 Ω

Equivalent of R1 and R3 = 2 Ω

Equivalent resistance (R) in the circuit =?

Note: Equivalent of R1 and R3 is in series connection with R2.

Equivalent Resistance (R) = (Equivalent of R1 and R3) + R2

Equivalent Resistance (R) = 2 + 2

Equivalent Resistance (R) = 4 Ω

Finally, we shall determine the total current in the circuit as follow:

Potential difference (V) = 18 V

Equivalent Resistance (R) = 4 Ω

Current (I) =.?

From ohm's:

V = IR

Where V is the potential difference.

I is the current.

R is the resistance.

V = IR

18 = I × 4

Divide both side by 4

I = 18/4

I = 4.5 A

Therefore, the total current in the circuit is 4.5 A.

A plane took 7 hours to travel 2020 km. For the first 4 hours,
it travelled at an average speed of 310 km/h. What was the
average speed for the remaining time of the journey?
km/h

Answers

Answer:

260

Explanation:

The average speed for the remaining time of the journey is 260 km/h.

What is average speed?

The average speed of any moving object is the ratio of the total distance covered and the total time taken to cover that distance.

Given is a plane took 7 hours to travel 2020 km. For the first 4 hours,

it travelled at an average speed of 310 km/h.

Average Speed S1= distance /time

310 km/h = d/4

d = 1240 km

The remaining distance will be

2020 - 1240 = 780 km

The remaining hours are 7 - 4 =3 h

The average speed for the remaining distance is

Avg speed S2= 780 / 3

S2 = 260 km/h

Thus, the average speed of the car for the remaining is 260 km/h.

Learn more about average speed.

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What is the standard unit for time

Answers

standerd unit of time is second

Answer:

The standard unit for time is second (s).

What subatomic particle identified this atom

Answers

Answer:

protons

Explanation:

the protons identifies an atoms as that of a particular element the atomic number is equal to the number of protons in the nucleus of an atom

lab safety test Safety goggles and an apron must be worn when handling chemicals labeled corrosive because they:________.

Answers

Answer:

The terms of biosafety in a laboratory require that the person must not have the eyes and skin exposed.

Explanation:

A corrosive substance is a substance that can damage a surface when they come into contact.

These substances represent a danger in people since they can burn the eyes, the skin, and the inside of the body since the inhalation of gases can burn the respiratory tract.

These chemical burns can be avoided by properly following the biosafety protocol that a laboratory requires the use of masks, goggles, gloves, and an apron or lab coat.

You are out on the water in foggy conditions. You hear one prolonged blast plus two short blasts every two minutes. What does this sound signal mean?

Answers

The sound signal helps to caution and let other people know the exact

position or location during sailing in limited visibility conditions.

Sailors are in which charge of controlling and movement of ships. In limited

visibility conditions such as during fogs, one prolonged blast plus two short

blasts every two minutes are done.

This helps to alert people and other sailors of their location at sea to prevent

accidents and death.

Read more about Sailors here https://brainly.com/question/6337527

The sound signal helps to know the exact location during sailing in foggy conditions.

Who are sailors?


Sailors are the in charge of controlling and movement of ships. In limited visibility conditions such as fogs, one prolonged blast plus two short blasts every two minutes are done.

This helps to caution people and other sailors around their location at the sea to prevent accidents and death.

Learn more about Sailors

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Se lanza una bala con una velocidad inicial de 200 m/s y con un ángulo de inclinación de 30º respecto a la horizontal. Si se considera g=10 m/s2. ¿Cuál es el alcance de la bala?

Answers

Answer:

El alcance de la bala es 3464,1 m.

Explanation:

El alcance de la bala se puede calcular como sigue:

[tex]y = y_{0} + tan(\theta)*x - \frac{g}{2}*\frac{x^{2}}{(v_{0}cos(\theta))^{2}}[/tex]

En donde:

y: es la altura final = 0

[tex]y_{0}[/tex]: es la altura inicial = 0

x: es el alcance

θ: es el angulo respecto a la horizontal = 30°

[tex]v_{0}[/tex]: es la velocidad inicial = 200 m/s

g: es la gravedad = 10 m/s²

Entonces, tenemos:

[tex] y = y_{0} + tan(\theta)*x - \frac{g}{2}*\frac{x^{2}}{(v_{0}cos(\theta))^{2}} [/tex]

[tex] x = \frac{2tan(\theta)*(v_{0}cos(\theta))^{2}}{g} = \frac{2tan(30)*(200 m/s*cos(30))^{2}}{10 m/s^{2}} = 3464,1 m [/tex]

Por lo tanto, el alcance de la bala es 3464,1 m.

Espero que se te sea de utilidad!

a child hits a ball with a force of 350 N. (a) If the ball and bat are in contact for 0.12 is, what impulse does the ball receive? (b) what is its change in momentum?

Answers

Explanation:

Given that,

Force with which a child hits a ball is 350 N

Time of contact is 0.12 s

We need to find the impulse received by the ball. The impulse delivered is given by :

[tex]J=F\times t\\\\J=350\times 0.12\\\\J=42\ N-m[/tex]

So, the impulse is 42 N-m..

We know that he change in momentum is also equal to the impulse delivered.

So, impulse = 42 N-m and change in momentum =42 N-m.

A train starts from rest with acceleration of 0.5ms-2 find speed in Kmh-1 when it moved through 100m. (36kmh-1)

Answers

Answer:

36km/h

Explanation:

since the acceleration of the train was 0.5m/s² i.e it is constant . since the acceleration is constant you can use one of the "SUVAT" equations to find the answer.

the equation that best fits this question is: v²=u² + 2āS.

v stands for final velocity

u stands for intial velocity

v²=u² + 2āS since the car started from rest the intial velocity is zero.

v²=u² + 2āS

v²= 0 + 2(0.5m/s²)*100m

v²= 1m/s²*100m

√v²=√100m²/s²

v=10m/s

1km/hr = 1/3.6m/s

x. = 10m/s.

use criss cross method to find the value of x

x=( 1km/hr* 10m/s)

1/3.6m/s

x= 36km/hr

Which statement best describes the similarities between fundamental forces? a Electromagnetic and strong nuclear forces influence the interaction between charged particles within an atom. b Gravitational and magnetic forces are the most alike because they are both types of charges that occur in nature. c Nuclear and magnetic forces are the most alike because they are both related to mass and weight. d Strong nuclear force is most like electrical force because they are both related to distance.

Answers

Answer:

a

Explanation:

............

..............option A

Answer:

A is the answer as electromagnetic and strong nuclear forces influence the interaction between charged particles within an atom the only difference being their intensity! Hope this helps :) and if you dont mind, mark me brainliest so i can get to the next rank :(

which phrase describes what a scientist does? A.Tells People how they should behave B .Answers ethical questions C. Ask questions about the world D. Determines right from wrong

Answers

Answer:

C. Ask questions about the world

Explanation:

A scientist is a person who conducts scientific research and provide scientific proves on the area of their interest such as physica, chemistry, biology or history.

A scientist gives the answers of the question about the world based on their scietifc research such as how does plant breath? effects of global warming on earth? what if we don't drink water for a particular time period? et-cetera.

Hence, the correct option is "C. Ask questions about the world".

Two students are watching a person riding a skateboard up and down a ramp. Each student shares what they think about the energy of the skateboarder as they ride up and down the ramp.

Elisa: I think the skateboarder has the more total energy at the top bottom of the ramp than the bottom of the ramp.

Raymond: I think the skateboarder has the same total energy at all points on the ramp.

Which student do you agree with? Why?

Answers

Answer:

The correct option is;

Raymond: I think the skateboarder has the same total energy at all points on the ramp

Explanation:

The total energy, also known as the total mechanical energy, is the sum of the kinetic and potential energies of the skateboarder

Given that the potential energy is the energy gained due to elevation, the maximum potential energy is obtained at the top of the ramp, while the maximum kinetic energy, which is the energy due to motion, is at the bottom of the ramp where the skateboarder moves fastest.

However, by the energy conservation principle, the kinetic energy of he skateboarder comes from the conversion of the potential energy, such that the total energy is the same at any particular point on the ramp.

(b) The table below shows the mass and volume of four objects.
object
mass (g)
volume (cm)
aluminium figure
230
85
lead weight
800
70
steel block
200
25
wood puzzle
400
500
(i) Which object is the heaviest? *
Tour answer​

Answers

Answer:

I think lead is the heaviest one

A dolphin emits a sound wave that hits a target 120 m away. The wave reflects back from the target to the dolphin. If the Bulk modulus of seawater is 2.3 x 10° N/m2 and the density of seawater is 1022 kg/m3. How long does it take the sound wave for the round trip?

Answers

Answer:

The time taken for the sound wave to make the round trip is 0.16 s.

Explanation:

Given;

distance traveled by the sound wave, d = 120 m

bulk modulus of sea water, B = 2.3 x 10⁹ N/m²

density of sea water, ρ = 1022 kg

The speed of the wave is given by;

[tex]v = \sqrt{\frac{B}{\rho} } \\\\v = \sqrt{\frac{2.3*10^9}{1022} }\\\\v = 1500.16 \ m/s[/tex]

Speed is given by;

[tex]Speed = \frac{Distance}{Time}[/tex]

total distance of the round trip = 2 x 120m = 240 m

Time taken for the sound wave to make the round trip is given by;

[tex]Time = \frac{Distance}{Speed} \\\\Time = \frac{240}{1500.16} \\\\Time = 0.16 \ second[/tex]

Therefore, the time taken for the sound wave to make the round trip is 0.16 s.

What is the net force on an object that is experiencing a force of 25 N north, a force of 25 N
south, a force of 50 N to the east and a force of 45 N to the west?

Answers

Answer:

net 5N of force will act in east direction.

Explanation:

force acting in North and South direction will cancel each other.

force in east direction - force in west direction = 5N

To expel hot air out of the kitchen, A has an exhaust fan fitted on the window of her kitchen and B has a similar exhaust fan fitted on the wall near the ceiling of the kitchen. Which one of the exhaust fan will expel the hot air more effectively? Explain why.

Answers

Answer:

Kitchen B

Explanation:

This all boils Down to the phenomenon of convection current of àir where warmer air rises up and is replaced by cooler air, the fan is placed higher up in B and because hot air rises higher up it will remove more hot air here

Consider three widely separated galaxies in an expanding universe. Imagine that you are located in galaxy 1 and observe that both galaxies 2 and 3 are moving away from you. If you asked an observer in galaxy 3 to describe how galaxy 2 appears to move, what would he or she say?

Answers

Answer:

The observer will say that galaxy 2 is moving away from galaxy 3 where he stands.

Explanation:

Since the galaxies are expanding, each one would move away from the others. Observers on all three galaxies have their frame of reference fixed on their own galaxies. Judging from their own galaxies, each observer will perceive the other galaxies moving away from his/or galaxy.

The observer at galaxy 3 will talk about galaxy 2 by doing is; he will say that galaxy 2 is moving far from him.

We are told that the universe is expanding and as such, the galaxies would be expanding and moving away from each other.

Since the galaxies are expanding, it means that they will be moving away from each other.

From time dilation principle, an observer at galaxy 3 will say that galaxy 2 is moving far from him.

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Simple Harmonic Motion: A simple harmonic oscillator oscillates with frequency f when its amplitude is A. If the amplitude is now doubled to 2A, what is the new frequency

Answers

Answer:

The frequency will still remain F

Explanation:

Firstly, we should remember that the frequency of a simple harmonic oscillator doesn't depend on the amplitude. Rather, it depends on the spring constant, k, and the mass of the attached weight, m. This means that the change in amplitude will not lead to a corresponding change in frequency.

the frequency is represented by the formula

f = 1/2π * √(k/m),

where

f = frequency of the oscillator

k = spring constant and

m = mass attached to the spring

From the formula above, we can state that the frequency doesn't depend on the amplitude at all, and as such, the amplitude changing from A to 2A, will effect no change in the frequency F.

Part B – Scientific Method
READ THIS STORY AND ANSWER THE QUESTIONS:
Joe baked a cake for his mother's birthday. When he removed the cake from the oven, Joe noticed that the cake had not risen. Joe guessed that the baking powder he had used was too old. He designed the following experiment to test his idea.
Joe prepared two cakes – one using the same ingredients as his first cake and one using fresh baking powder. After preheating the oven to 350°F, he placed both cakes in the oven for 30 minutes. After 30 minutes, he removed both cakes and noticed that neither one had risen. He decided that the baking powder wasn’t the cause of his problem.
What is Joe's hypothesis?



What is Joe's conclusion?



What did Joe’s observe?



What was the independent variable in Joe’s experiment?


What was the dependent variable in Joe’s experiment?



What was the control in Joe’s experiment?



What were the constants in Joe’s experiment (assuming he did it correctly)?






8. Based on his conclusion, what should Joe do next?

Answers

Answer:

1) Joe's hypothesis was that the baking powder he used was too old and that was why the cake did not rise

2) Joe concluded that the baking powder was not the cause of the cake not rising

3) Joe observed that the cake he made for his mother's birthday did not rise

4) The independent variable was the baking powder

5) The dependent variable was the rising cake

6) Joe's control in the experiment was the extra cake made using the same ingredient as the first

7) The constants were the heat and time to bake both cakes

8) He should recheck all the variables and constants (recipes and procedures) are correct as can be found in baking books

Explanation:

Answer: Please find the answers in the explanation

Explanation:

From the given description, when Joe noticed that the cake had not risen,  he guessed that the baking powder he had used was too old.

Hypothesis is one of the scientific methods which means guessing.

What is Joe's hypothesis?

Joe's hypothesis is that the baking power used was not effective to make the cake rise believing that it was too old.

After Joe prepared two cakes, one using the same ingredients as his first cake and one using fresh baking powder. After preheating the oven to 350°F, he placed both cakes in the oven for 30 minutes. After 30 minutes, he removed both cakes and noticed that neither one had risen. He decided that the baking powder wasn’t the cause of his problem.

What is Joe's conclusion?

The conclusion is that the inability for the cake to rise wasn't as a result of ineffectiveness of the baking powder used.

What did Joe’s observe?

Joe observed that the cake had not risen.

What was the independent variable in Joe’s experiment?

The independent variable determines the dependent variable.

The independent variable is therefore, the different types of baking powder used.

What was the dependent variable in Joe’s experiment?

The dependent variable is the volume of the cakes.

What was the control in Joe’s experiment?

Joe was able to control the time and the temperature.

What were the constants in Joe’s experiment (assuming he did it correctly)?

The constant were the quantities of the cake ingredient, time used, and the temperature

8. Based on his conclusion, what should Joe do next?

Joe can try another ingredient like yeast or reconsider the ratio of the baking powder to the flour.

 

A body when dropped into a jar ,containing kerosene and glycerine ,sinks below the kerosene level to float in glycerine as infig .What can we say about the densities of kerosene ,glycerine and the body

Answers

Answer:

we can say that that in an increasing order, the body is less dense than the glycerine, and the glycerine is less dense than the kerosene.

Explanation:

If the body sinks below the kerosene level to float in glycerine, then it means that the kerosene is denser than glycerine. This is because bodies will float higher in a denser fluid that a less denser fluid. Also, since the body floats in kerosene and glycerine, then the body is less dense than the kerosene and the glycerine. Finally, we can say that that in an increasing order that the body is less dense than the glycerine, and the glycerine is less dense than the kerosene

A stone is thrown in a vertically
upward direction with a velocity
of 5 ms. If the acceleration of the
stone during its motion is 10 ms?
in the downward direction, what
will be the height attained by the
stone and how much time will it
take to reach there?

Answers

Answer:

1.25 m

0.5 s

Explanation:

Given:

v₀ = 5 m/s

v = 0 m/s

a = -10 m/s²

Find: Δy

v² = v₀² + 2aΔy

(0 m/s)² = (5 m/s)² + 2 (-10 m/s²) Δy

Δy = 1.25 m

Find: t

v = at + v₀

(0 m/s) = (-10 m/s²) t + (5 m/s)

t = 0.5 s

If an object on a horizontal frictionless surface is attached to a spring, displaced, and then released, it will oscillate. If it is displaced a distance 0.110 m from its equilibrium position and released with zero initial speed. Then after a time 0.815 s its displacement is found to be a distance 0.110 m on the opposite side, and it has passed the equilibrium position once during this interval.
Find (a) the amplitude; (b) the period; (c) the frequency.

Answers

a)The amplitude of the wave will be 0.120m.

b)The period of the wave will be 1.60s.

What is the frequency?

Frequency is defined as the number of repetitions of a wave occurring waves in 1 second.

a)The amplitude of the wave will be 0.120m.

A is the initial displacement =0.120m

The amplitude represents the largest deviation from equilibrium. So that the amplitude of the wave will be equal to the maximum position.

Hence the amplitude of the wave will be 0.120m.

b)The period of the wave will be 1.60s.

The movement from maximum positive displacement to maximum negative displacement. The time period will be;

[tex]\rm \frac{T}{2} = 0.800 \\\\\ T= 1.6 \ sec[/tex]

Hence the period of the wave will be 1.60s.

c) The frequency of the wave will be 0.625Hz.

The frequency is inversely proportional to the time period. Frequency is found as;

[tex]\rm f=\frac{1}{T} \\\\ \rm f=\frac{1}{0.625} \\\\ \rm f=0.625 \ Hz[/tex]

Hence the frequency of the wave will be 0.625Hz.

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Which of these item(s) are NOT mentioned in Stuff Matters? Leather Shoes Microphones Candles Jet Engine Teacup

Answers

Answer:

Leather Shoes, Microphones, Candles

Explanation:

Surprisingly, leather Shoes, Microphones, Candles were not mentioned in Stuff Matters a book written by Mark Miodownik which according to him explored "the marvelous things that shape our man-made world."

1. How many inches are in 6 meters?

Answers

Answer:

236.22 inches

Explanation:

There are 39.3701 inches in 1 meter.  So to find 6 meters, multiply 6 times 39.3701.

6·39.3701=236.22

Answer:

236.22

Explanation:

just because itit's common sense

What are the balanced forces for someone in a parachute? A. Gravity and Earth B. Gravity and air resistance C. Gravity and centripetal D. Centripetal and air resistance

Answers

Answer:

B. Gravity and air resistance

Explanation:

Experimentation has proven that :

When the parachute opens, air resistance becomes much greater than gravity. The forces are no longer balanced and this changes the

speed

Answer:

[tex]\large \boxed{\mathrm{B. \ Gravity \ and \ air \ resistance}}[/tex]

Explanation:

Gravity and air resistance are the forces that get balanced out during a free fall. This is also known as terminal velocity, when gravity = air resistance.

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Which term best describes thequadrilateral formed by A(2, 3),B(4, 6), C(8, 9), and D(5,5)? A solution is prepared by adding 0.0231moles of H3O+ ions to 3.33L of water. What is the pH of this solution If you were to plot the point (-2, -6) what would be the correct method? * An evacuated tube uses an accelerating voltage of 40 kV to accelerate electrons to hit a copper plate and produce x rays. Nonrelativistically, what would be the maximum speed of these electrons 11. Income: $500Expenses: $120find the profitlesson 3.6 practice A beneficiary acquired stock from a decedent. The stock's fair market value at the date of the decedent's death was $500,000. The decedent had paid $280,000 for the stock six years ago. The beneficiary sold the stock two months after receipt for $510,000. What is the beneficiary's recognized gain for the year related to the stock? Which statement MOST accurately describes how the people of thecommunity feel about Martin Cosgrave? Tim and Michelle have decided to form a partnership with a 60/40 partnership interest ratio. Tim contributes cash and merchandise inventory with a market value of . While journalizing this transaction ________. An object on the end of a spring is oscillating in simple harmonic motion. If the amplitude of oscillation is doubled, how does this affect the objects maximum speed? If you were the IT manager for a large manufacturing company,what issues might you have with the use of opensource software? What advantage might there be for use of such software? The factorial of a nonnegative integer n is written n ! (pronounced "n factorial") and is defined as follows: n ! = n (n - 1) (n - 2) 1 (for values of n greater than or equal to 1) and n ! = 1 (for n = 0). For example, 5! = 5 4 3 2 1, which is 120.a) Write a program that reads a nonnegative integer and computes and prints its factorial. b) Write a program that estimates the value of the mathematical constant e by using the formula: e = 1 + 1/1! +1/2! + 1/3! +....... c) Write a program that computes the value of by using the formulae^x = 1 + x/1! + x^2/2! + x^3/3! +....... Epsom salts are solutes that do not pass through cell membranes. If one soaks in a hypertonic solation of Epsom salts, which of the following will occur? a. water will enter the body by osmosis b. the water will leave the body by osmosis c. Epsom salts will enter the body by diffusion d. Epsom salts will leave the body by diffusion The reaction between ammonia and oxygen is given below: 2NH3(g) + 2O2(g) N2O(g) + 3H2O(l)We therefore know that which of the following reactions can also occur?a. 4 NH3(g) + 5 O2(g) --------------> 4 NO(g) + 6 H2O(g)b. 4 NO(g) + 6 H2O(g)---------------> 4 NH3(g) + 5 O2(g)c. N2O(g) + 3 H2O(l) ---------------> 2 NH3(g) + 2 O2(g)d. None of the Above Problem 2.7 Service Station A service station uses 1,200 cases of oil a year. Ordering costs is $40 and annual carrying cost is $3 per case. The station owner has specified an annual service level of 99 percent. a. What is the optimal order quantity? EOQ = This is the lot size. How many times greater is the value of 4 in 4735 than the value of the 4 in 6412 Olivia Village was recently incorporated and began financial operations on July 1, 20X2, the beginning of its fiscal year. The following transactions occurred during this first fiscal year, July 1, 20X2, to June 30, 20X3:1. The village council adopted a budget for general operations for the fiscal year ending June 30, 20X3. Revenue was estimated at $400,000. Legal authorizations for budgeted expenditures totaled $394,000.2. Property taxes of $390,000 were levied; 2 percent of this amount was estimated to be uncollectible. These taxes are available to finance current expenditures as of the date of levy.3. During the year, a village resident donated marketable securities valued at $50,000 to the village under the terms of a trust agreement that stipulated that the principal amount be kept intact. The use of revenue generated by the securities is restricted to financing college scholarships for needy students. Revenue earned and received on these marketable securities amounted to $5,500 through June 30, 20X3.4. A general fund transfer of $5,000 was made to establish an internal service fund to provide for a permanent investment in inventory.5. The village decided to install lighting in the village park financed through an authorized special assessment project at a cost of $75,000. The city is obligated if the property owners default on their special assessments. The village issued special assessment bonds in the amount of $72,000 and levied the first years special assessment of $24,000 against the villages property owners. The remaining $3,000 for the project will be contributed from the villages general fund.6. The special assessments for the lighting project are due over a three-year period, and the first years assessments of $24,000 were collected. The $3,000 transfer from the villages general fund was received by the lighting capital projects fund.7. A contract for $75,000 was let for the lighting installation. The capital projects fund was encumbered for the contract. On June 30, 20X3, the contract was completed, and the contractor was paid.8. During the year, the internal service fund purchased various supplies at a cost of $1,900.9. The general fund cash collections recorded during the year as follows:Current property taxes $ 386,000 Licenses and permit fees 7,000 The allowance for estimated uncollectible taxes is adjusted to $4,000.10. The village council decided to build a village hall at an estimated cost of $500,000 to replace space occupied in rented facilities. The village does not record project authorizations. The council decided to issue general obligation bonds bearing interest at 6 percent. On June 30, 20X3, the bonds were issued at face value of $500,000, payable in 20 years. No contracts have been signed for this project, no expenditures have been made, nor has an annual operating budget been prepared.11. The voucher for purchasing a fire truck for $15,000 was approved and paid by the general fund. This expenditure previously had been encumbered for $15,000.Required:Prepare journal entries to record properly each of these transactions in the appropriate fund or funds of Olivia Village for the fiscal year ended June 30, 20X3. Do not prepare closing entries for any fund. (Select the appropriate fund for each situation when required. If no entry is required for a transaction/event, select "No journal entry required" in the first account field.) Help answer the question, please Discuss how the workplace is changing and why it is important to understand workplace trends. three ways in which people's beliefs and word views have influenced woman's participation in football can someone help me pllzz