a model house that runs completely on renewable energy uses 2 windmills and 3 solar panels. each windmill generates mmm kilowatt-hours (kwh) of energy per year, and each solar panel generates sss kwh per year. which expressions can we use to describe how many kwh of energy the model house will output in 10 years? choose 2 answers: choose 2 answers:

Answers

Answer 1

The model house on remote renewable energy will generate (20mmm + 30sss) kilowatt-hours of energy in 10 years.

Given:

Remote Renewable House= 2 windmills + 3 turbines

1 windmill generate mmm kilowatts-hours in a year

Therefore,

2 windmills will generate,

2×mmm=2mmm kwh in a year

In 10 years, 2 windmills will generate

10×2mmm=20mmm

1 solar panel generate sss kilowatt-hour each in 1 year

3 solar panels will generate yearly

3×sss=3sss

In 10 years, 3 solar panels will generate

10×3sss=30sss

Therefore, the total energy generated in the renewable model house is in 10 years

(20mmm+30sss)  kwhr

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Related Questions

WHAT IS NUCLEAR FISSION
PLEASE ANSWER QUICK

Answers

when the nucleus of an atom splits into two or more nuclei

Read the following scenario about Greg's adventure to the symphony. Greg hasn't learned any concert etiquette.

What are the SIX mistakes that Greg makes according to Concert Etiquette 101?

What is the ONE thing that Greg does correctly (even though by accident) according to Concert Etiquette 101?



A man wearing a ball cap, who has a cold, attends a concert (let's call him Greg). After the concert begins, Greg walks through the door and takes a seat in the middle of the second row without saying a word. He frantically opens his program to find out what he has missed so far. Due to his cold, he also opens a cough drop for his cough. After the first piece (that he has heard since he arrived to the concert), he begins to clap and whistle - only to find out that nobody else is clapping with him. At the intermission, he finds a vending machine and buys a candy bar for the second half of the concert. After the concert, Greg remembers that he dropped the candy bar wrapper between the seats, and lifts his seat up to get the wrapper (at least he can put it in a trash can when he finds one - his mom always told him not to litter!).

Answers

Answer:Never stand or move around while music is being performed.

Explanation:

A generator produces 24.0V when turning at 900 rev/min. What emf does it produce when turning at 500 rev/min?

Answers

The EMF that will be produced is 13.3 V

What does EMF mean ?

EMF is an acronym for Electromotive Force which can be defined as the potential difference between the terminals of a cell when it is not delivering any current in an external circuit.

Given that a generator produces 24.0V when turning at 900 rev/min. What EMF does it produce when turning at 500 rev/min?

The EMF produced by a generator is proportional to the angular speed at which the generator turns. That is, E [tex]\alpha[/tex] w

E1 = 24 VE2 = ?W1 = 900 rev/minW2 = 500 rev/min

E1/E2 = W1/W2

24/E2 = 900/500

Reciprocate both side.

E2/24 = 500/900

E2 = 0.5556 x 24

E2 = 13.33 V

Therefore, the EMF that will be produced is 13.3 V

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in a car moving at constant acceleration, you travel 230 mm between the instants at which the speedometer reads 40 km/hkm/h and 80 km/hkm/h .

Answers

The acceleration of the car is 0.8049[tex]m/s^{2}[/tex].It takes 13.802s to travel the 230 m.

What is acceleration?

In mechanics, acceleration refers to the rate at which an object's velocity with respect to time varies. Acceleration is a vector quantity (in that they have magnitude and direction). The direction of an object's acceleration is determined by the direction of the net force acting on it. Newton's Second Law states that the combined effect of two factors determines how much an item accelerates: 

(i) It follows that  the magnitude of the net balance of all external forces acting on the object is directly proportional to the magnitude of this net resulting force, and

(ii) the mass of the thing, depending on the materials out of which it is constructed, is inversely proportional to the mass of the thing.

Calculations:

40 km/hr ----- 11.11m/s

80 km/hr ----- 22.22m/s

[tex]v^{2} -u^{2} =2as\\22.22^{2} - 11.11^{2} = 2 x a x 230\\ 370.296=460a\\ a= 0.8049m/s^{2} \\[/tex]

Time taken

v-u=at

22.22-11.11= 0.8049 x t

t=13.802s

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1) In a standard lab, students drop blocks on moving carts. A cart with a mass of 3.4 kg is moving with a velocity of 23.9 m/s. A block with a mass of 2 kg is dropped onto the moving cart. What is the velocity of the cart after the block is dropped?


A. 3.4 m/s

B. 5.4 m/s

C.15.1 m/s

D. 23.9 m/s



2) Suppose that the vertical forces on a box are balanced, but the horizontal forces are not. There is a force due west of 50 N, and a force due east of 75 N. The weight of the box is 196 N. What is the net force and the acceleration?

A. The net force is 125 N and the acceleration is 1.25 m/s/s due east.
B. The net force is 25 N and the acceleration is 500 m/sec/sec due east.
C. The net force is 25 N and the acceleration is 1.25 m/s/s due east.
D.
The net force is 3750 N and the acceleration is 500 m/sec/sec due east.

3)
A car traveling with an initial speed of 25 m/s decelerates at −5 m/s2 to a complete stop. What best approximates the distance the car travels during its deceleration?

A. 25 m
B. 63 m
C. 125 m
D. 113 m

4) A 2000-kilogram car at rest at point A accelerates at a constant rate from point A to point B in 5.0 seconds, attaining a maximum speed of 30 meters per second at point B. What is the kinetic energy of the car at point B?

A. 60000 J
B. 590000 J
C. 900000 J
D. 1800000 J

5) Which of the following situations has the greatest momentum?

A. a car that accelerates from rest to 3.0 m/s
B. a rocket that crashes back to Earth with a force of 50.0 N for 0.3 m/s
C. a boxer that hits a punching bag with a net force of 30.0 N for 0.5 s
D. a baseball hit with a net force of 10.0 N for 3.0 s

6) Two objects are moved apart so that they are separated by three times their original distance of separation. Compared to the magnitude of the original gravitational force between them, the magnitude of the new gravitational force is which of the following?

A. one-ninth the amount
B. one-third the amount
C. three times the amount
D. nine times the amount

7) Carter and Sam want to find out about the motion of cars traveling on a stretch of highway. They measure out a segment on the highway and measure the time it takes for a car to pass along that segment. Using this data, which of the following pieces of data are they collecting?

A. Average acceleration
B. Instantaneous speed
C. Average speed
D. Instantaneous acceleration

8) Tommy wants to explore how the rate of change in the speed of a marble rolling down changes at different angles. Which of the following formulas should Tommy use to compare each trial in the experiment?

A. Distance traveled/time
B. Change in velocity/change in time
C. Distance traveled in a direction/time
D. Change in displacement/time

Please Explain

Answers

The correct responses are;

1) The velocity is 15.0 m/s

2) The net force is 25 N and the acceleration is 1.25 m/s/s due east.

3) The distance covered is 63 m

4) The kinetic energy is  900000 J.

5) The greatest momentum is displayed by a baseball hit with a net force of 10.0 N for 3.0 s

6) The force is now is  one-ninth of the original amount.

7) The data that Carter and Sam want to find out is the  Instantaneous speed

8) The appropriate formula is change in velocity/change in time

What is the momentum?

The term momentum has to do with the product of the mass and the velocity of a body.

1) We know from the principle of the conservation of momentum that the momentum before collision is the equal to the magnitude of the momentum after Collison in a closed system thus;

3.4 *  23.9 m/s = (3.4 + 2) v

v = 3.4 *  23.9 m/s / (3.4 + 2)

v = 15.0 m/s

2) Mass of the box = 196/9.8 = 20 Kg

The net force that acts on the box = 75 N - 50 N = 25 N

Acceleration =  25 N/ 20 Kg

= 1.25 m/s/s due east.

Thus, the net force is 25 N and the acceleration is 1.25 m/s/s due east.

3) v^2 = u^2 - 2as

v = 0 m/s

u^2 = 2as

s = u^2/2a

s = (25 m/s )^2/ 2 *  5 m/s2

s = 63 m

The distance covered is 63 m

4) Kinetic energy = 1/2 mv^2 = 0.5 * 2000 * (30)^2

=  900000 J

The kinetic energy is  900000 J.

5) The greatest momentum is displayed by a baseball hit with a net force of 10.0 N for 3.0 s

6) The new magnitude of the force between them is  one-ninth of the original amount.

7) The data that Carter and Sam want to find out is the  Instantaneous speed

8) The formula that should be used is change in velocity/change in time.

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A cubical surface surrounds a point charge q. Describe what happens to the total flux through the surface if (b) the volume of the cube is doubled

Answers

The net electric flux is not dependent on the volume of the cube and hence no change to the electric flux.

According to Gauss law, which states that the electric flux is defined as the electric field multiplied by the area of the surface in a plane perpendicular to the field.

Φ=Q ϵo

Where;

Q is enclosed charge

ϵo is the permittivity of the free space

According to the above gaussian relation, If the volume of the cube is doubled, then flux will neither be doubled or changed. It remains the same. This is because there is no direct relationship between the total flux and volume of the cube in the electric field. This means that there is no change to the electric flux.

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Two identical clocks are in the same house, one upstairs in a bedroom and the other downstairs in the kitchen. Which clock runs slower? Explain.

Answers

The clock in the kitchen downstairs is slower than the clock in the bedroom upstairs

What is relativity?

A major idea that we could glean from relativity is that there are no absolutes in the universe. Everything in the universe depends on which frame of reference we are. Observations may differ depending on the frame of reference of the observer.

In the theory of Einstein, relativity comes in handy to clarify the distortion that is caused in time and space owing to matter in the universe as the basis for gravity.

We know that from the theory of relativity, the clock that is under the influence of a greater gravitational field would be slower. As such, the clock in the kitchen downstairs is slower than the clock in the bedroom upstairs because the clock in the kitchen downstairs is subjected to a greater gravitational field.

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You throw a dart horizontally towards the center of a dartboard. The dart reaches the board below the center with a velocity of 1.2 E 1 m/s at an angle of 355o.



a. Determine the distance below the center of the board where the dart hits.

Answers

The distance below the center of the board where the dart hits is 0.00056 m.

Distance below the center of the board reached by the dart

The distance below the center of the board reached by the dart is calculated as follows;

v² = u² + 2gh

where;

v is the final vertical velocity of the dartu is the initial vertical velocity of the darth is the distance below the center of the board reached  by the dart

The initial vertical velocity of the dart = 0

v² = 0² + 2gh

v² = 2gh

h = v² /2g

h = (v sinθ)²/2g

where;

θ is the angle of projection

h = (1.2 x sin355)²/(2 x 9.8)

h = 0.00056 m

Thus, the distance below the center of the board where the dart hits is 0.00056 m.

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what does it mean by the term self demagnetization. ​

Answers

Answer:

Self demagnetization means when magnets' poles are free (suspended) for too long, their magnetic attraction becomes weaker and thus, self demagnetizes.

Why is the primary mirror in a telescope curved?

Answers

Answer:

The primary mirror in a telescope is curved so that it changes the path of the light hitting its surface.

Explanation:

Brainliest please

Answer:

the primary mirror in a telescope is curved because it changes the path of the light hitting its surface.

a piano is a stringed instrument in which felt hammers are made to strike the strings by an arrangement of keys and levers.

Answers

Answer:

Analytical

Explanation:

Suppose you fill two rubber balloons with air, suspend both of them from the same point, and let them hang down on strings of equal length. You then rub each with wool or on your hair so that the balloons hang apart with a noticeable separation between them. Make order-of-magnitude estimates of (a) the force on each

Answers

The force on each balloon is 2×10^−3 N.

Consider two balloons of diameter 0.200m each with a mass of 1.00g hanging apart with 0.0500m separation on the ends of string making angles of 10.0° with the vertical.

[tex]\sum F_{y} = Tcos10\textdegree - mg = 0\\\\T = \frac{mg}{cos10\textdegree } \\\\\sum F_{y} = Tsin10\textdegree - mg = 0\\[/tex]

So,

[tex]F_{e} = \frac{mg}{cos10\textdegree }sin10\textdegree = mgtan10\textdegree \\\\= (0.00100kg)(9.8m/s^{2})tan10\textdegree \\\\F_{e} = 2 \times 10^{-3}N[/tex]

A force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity (e.g. moving from a state of rest), i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity. It is measured in the SI unit of newton (N).

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When the speaker is lowered into water, does the frequency of the sound increase, decrease, or remain the same?.

Answers

Answer: it remains the same

Explanation:

the frequency of a sound wave cannot change as it crosses the water-air boundary

meaning of extraction​

Answers

Removing somethigggggggg

Answer:

the action of taking out something, especially using effort or force.

Explanation:

An airplane mechanic notices that the sound from a twin-engine aircraft rapidly varies in loudness when both engines are running. What could be causing this variation from loud to soft?

Answers

Hence , the rise and fall of the amplitude of the sound causes the variation from loud to soft .

Principle of Superposition - The resultant displacement of 2 or additional waves traveling at the same time in an exceedingly medium while not moving the motion of 1 another is capable the resultant of the displacement created by the 2 or additional waves singly.

The variation from loud to soft sound created by a twin-engine craft may be explained by the idea of formation of beats.

When 2 sound waves of nearly equal frequencies square measure created at the same time, then the intensity of the resultant sound created by their superposition will increase and reduces as an alternative with time. This increase and reduce within the intensity of sound square measure referred to as the development of beats.

Let us suppose that at a specific time the 2 waves of slightly totally different frequencies square measure in section, i.e. the crest of the primary wave falls on the crest of the second wave, thus at this point the resultant amplitude is most, therefore we tend to hear a louder sound. however since there's a small variation in frequencies there comes a time once the 2 waves square measure out of section, I.e. the crest of 1 wave falls on the trough of the opposite, here the resultant amplitude becomes zero and that we hear no sound. This rise and fall of amplitude continue and what we tend to hear could be a beat. Similar is that the case in an exceedingly twin-engine craft which ends within the variation of loud and soft sound.

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A car slows down from +32 m/s to +8 m/s in 4s. Calculate the acceleration

Answers

If a car slows down from +32 meters / seconds  to +8 meters / seconds in 4 seconds, then the acceleration of the car would be  -6 meters / second².

What is acceleration?

The rate of change of the velocity with respect to time is known as the acceleration of the object.

We can calculate the acceleration of the car by using the first equation of motion,

v = u +at

8= 32 + a×4

a =8-32 / 4

a = -6 meters / second²

Thus, the acceleration of the car would be -6 meters / second².

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What function does large volumes of moving water have in generating electricity

Answers

Impoundment or dams are used to collect the water to enhance the amount of running water. Gravity is used to direct water down a pen stock pipe from a hole in the dam. The turbine is spun by the flowing water, and this rotation of the magnets inside the generator produces power.

What is Hydroelectric Energy?

Hydroelectric energy, also known as hydroelectric power or hydroelectricity, is a type of energy that uses the force of moving water to produce electricity, such as water running down a waterfall. This force has been utilized by people for ages. Greeks have been grinding wheat into flour for over 2,000 years by using flowing water to turn their mill's wheel.

The majority of hydroelectric power plants feature a water reservoir, a gate or valve to regulate the amount of water that flows out of the reservoir, and an outlet or location where the water ends up after flowing downstream. Just before water rushes over the top of a dam or cascades down a hill, it gains potential energy. Water flowing downhill changes potential energy into kinetic energy. When a turbine's blades are turned by water, electricity is produced and sent to the power plant's users.

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The speed of light in water is 230Mm/s. Suppose an electron is moving through water at 250 Mm/s . Does that violate the principle of relativity? Explain.

Answers

It does not violate the principle of  relativity because the speed of the electron in water can explained as its relative speed with water.

What is principle of  relativity?

The principle of relativity states that there is no physical way to differentiate between a body moving at a constant speed and an immobile body.

If the speed of light in water is 230Mm/s and an electron is moving through water at 250 Mm/s, it does not violate the principle of  relativity because the speed of the electron in water can explained as its relative speed with water.

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35km/h expressed in meters per second

Answers

35 kilometers per hour is equivalent to 9.73 metres per seconds.

How to convert km/h to m/s?

Speed is the rate of distance that is traversed in a given time. It can be calculated by dividing the distance moved by the time taken as follows:

Speed = distance/time

Speed can be measured in the following units;

Kilometers per hourMetres per seconds

The conversion factor of kilometers per hour to metres per seconds is as follows:

1 kilometre per hour = 0.278 metre per second

35 kilometers per hour = 9.73 metres per seconds

Therefore, 35 kilometers per hour is equivalent to 9.73 metres per seconds.

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If the position of an object is zero, does its speed have to be
zero? Expain

Answers

No, the speed does not depend on position, it depends on the change of position.

An item can start at x = -3 and be moving by the time it reaches x = 0 since we know that the displacement is independent of the coordinate system's origin.

Speed is characterized as the rate at which an object's position changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. Speed is defined as s = distance/time.

There are four different forms of speed.

constant speed

varying speed

typical speed

Instantaneous speed

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2. A bookshelf is 200 cm and 40 N weight, with supports at its ends (X and Y).
a. A book weighing 12 N is placed in the middle of the shelf. What are the upward forces at X and Y?


b. The book is moved so that it is 40 cm from B. Use moments to calculate the forces at X and Y.

Answers

Answer:

force =m×a=40=200×a=a=200-40=160m/second sguared

Explanation:

always accerelation it measures in m/second sguared.

Marta gives long, involved answers to every question, even simple ones. She uses technical vocabulary even if the people she is talking to do not understand it. What is the BEST advice Marta’s supervisor could give her?

A.
Use technology to your team’s advantage.

B.
Manage information, not people.

C.
Make sure your networks are strong.

D.
Adapt your communication style.

Answers

The best advice Marta’s supervisor could give her regarding the long answers she is giving is to adapt her communication style (option D).

What is communication?

Communication is the concept or state of exchanging data or information between entities.

A communication is said to be effective when the information passed across is perfectly understood by the recipient.

According to this question, Marta gives long and involved answers to every question, even simple ones. She also uses technical vocabulary even if the people she is talking to do not understand it.

This means that the best advice Marta’s supervisor could give her regarding the long answers she is giving, so as to communicate effectively, is to adapt her communication style.

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When a wave encounters an obstacle or a slit that is comparable in size to its wavelength, it bends around it. This characteristic is called ________.

Answers

When a wave encounters an obstacle or a slit that is comparable in size to its wavelength, it bends around it. This characteristic is called diffraction.

The term 'diffraction' was coined by an Italian scientist named Francesco Grimaldi Maria in 1660 when she first recorded accurate observations of this phenomenon. Diffraction is a wave phenomenon that describes the bending of waves when it encounters an obstacle or a slit. It is more pronounced when the obstacle or slit the wave encounters is in comparable size to its wavelength.

Diffraction occurs in all waves, including light, water waves, sound waves, electromagnetic waves like X-rays and even gravitational waves. In recent years, it has been observed that matter also demonstrates this wave-like property, but only at the atomic and subatomic level.

Diffraction can be observed in everyday life. The rainbow pattern seen on CDs and DVDs is as a result of diffraction of light. It can also be observed in ocean waves as they diffract around rocks, jetties and other obstacles.

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Why increasing the resistance in a series circuit decreases the current in the circuit?

Answers

Answer:

Explanation:

In a series curcuit Current is divided across the resistors meaning the more you add resistors the more current is taken. The formula I= V/R also makes it easier to understand. The resistance is in the denominator. The more you increase it the more the current decreases.

Keep in mind Adding more resistors in a series curcuit reduc current.

suppose a radio signal travels from earth and through space at a speed of 3.0 × 108 m/s. how far into space did the signal travel during the first 20.3 minutes?

Answers

The signal will travel into the space as far as 3.654 x 10^11 meters.

What is Speed ?

Speed is the distance travel by a body per time taken. Speed is a scalar quantity.

Suppose a radio signal travels from earth and through space at a speed of 3.0 × 108 m/s. how far into space did the signal travel during the first 20.3 minutes?

Speed V = 3.0 x 10^8 m/sTime t = 20.3 min x 60 = 1218 sDistance s = ?

Speed V = distance / time

3 x 10^8 = s / 1218

s = 3 x 10^8 x 1218

s = 3.654 x 10^11 m

Therefore, the signal will travel into the space as far as 3.654 x 10^11 meters.

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What happens to the period when we change the​ amplitude​ (drop point) of the pendulum? question 2 options: the period does not change when we change the amplitude of the pendulum the period increases when we change the amplitude of the pendulum the period decreases when we change the amplitude of the pendulum

Answers

When we change the amplitude of the pendulum, the period does not change when we change the amplitude of the pendulum.

What is a pendulum?

A pendulum is device that could be used to show oscillatory motion. The motion of the pendulum is that of an object that is tossed from one side to another. Typically, the simple pendulum is used in most school labs to show a motion that is regular and repeating.

Now we know that the amplitude refers to the point of highest displacement of the pendulum. The point of the highest displacement would depend on the angle at which the pendulum was displaced. The period has to do with the time that it takes for a particular pendulum to complete a full cycle.

We know that the period of the pendulum does not have an effect on the amplitude of the pendulum. It then follows that; When we change the amplitude of the pendulum, the period does not change when we change the amplitude of the pendulum.

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Two boxes are at rest…

Answers

The pair of forces include;

Normal force of mass 1 on mass 2(F₁₂) and the reaction of mass 2 on mass 1 (F₂₁)

Normal force of mass 2 on the table A (F₂A) and the reaction of the table on the mass 2 (FA2).

What is normal force?

The normal force is an everyday force that is felt when a surface pushes against an object that is placed on that surface.

Normal force acts in opposite direction to the weight of the object.

Based on Newton's third law of motion, for every action, there is an equal and opposite reaction.

The downward force exerted on the table, is equal to the reaction of the table on the masses.

The pair of forces acting on the masses stacked together include the following;

Normal force of mass 1 on mass 2(F₁₂) and the reaction of mass 2 on mass 1 (F₂₁)Normal force of mass 2 on the table A (F₂A) and the reaction of the table on the mass 2 (FA2).

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PLEASE HELP HURRY a penny dropped out a window reaches a speed of 35 m/s. how far did it fall? initial velocity is 0 m/s and gravity is 9.8 m/s

Answers

Answer:

use v²=u²+2as

v=35

u=0

a=9.8

35²=0²+2*9.8s

1225/2=9.8s

s = 62.5m

answer=62.5m

Answer:

The height from which the coin fell:

H = 63 m

Explanation:

Given:

V₀ = 0 m/s

V = 35 m/s

g = 9.8 m/c²

___________

H - ?

The height from which the coin fell is calculated by the formula:

H = (V² - V₀²) / (2·g)

H = (35² - 0²) / (2·9.8) ≈ 63 m

Match The Following:
1.Aristotle a. They believed the Earth to be flat
2.Kepler b. Thought that the Earth did not move
3.Egyptians c. How the planets move around the Sun
4.Ellipse d. Suggested the modern model of the Solar System

Answers

Answer:

1. A

2. D

3. B

4. C

Explanation:

1. A- Aristotle thought that the Earth was flat and that anyone who sailed off the edge of the ocean would fall of Earth, this theory of course later got disproved by Kepler and other scientists

2. D- Kepler suggested the modern model of the Solar System because after months and months of looking out the telescope and making models of the Solar System, Kepler finally made the conclusion of the official Solar System.

3. B- Egyptians thought did not move and all the planets, including the sun revolved around it. Later, Kepler disproved this theory with the modern Solar System.

4. C- This is the path that planets follow to revolve around the Sun. People first thought that planets moved in a circular motion but actually they moved in a ellipse because the Sun's gravity pulled planets closer at some parts more than others.

Doug, who runs track for his high school, was challenged to a race by his younger brother, matt. Matt started running first, and doug didn’t start running until matt had finished a quarter-mile lap on the school track. Doug passed matt as they both finished their sixth lap. If both boys ran at a constant speed, with doug running 2 miles an hour faster than matt, what was matt’s speed?.

Answers

The speed at which Matt ran is 10 miles per hour. Therefore, option (B) is the correct answer.

Matt runs at a speed of x miles per hour, whereas Doug does it at a speed of 2 miles per hour faster. Doug's speed will thereafter be equal to x + 2 miles per hour. Since there are four quarter-mile laps, Doug completes 1.5 miles in the time it requires Matt to complete 1.25 miles.

Matt:

Speed = x

Distance = 1.25

Time = [tex]\frac{1.25}{x}[/tex]

Doug:

Speed = x+2

Distance = 1.5

Time = [tex]\frac{1.5}{x+2}[/tex]

Making an equation by putting the two timings on the chart equal to one another and then solving for x will reveal that the two boys took the same amount of time from the moment Doug started.

[tex]\frac{1.5}{x+2}[/tex] = [tex]\frac{1.25}{x}[/tex]

1.5x = 1.25 (x+2)

0.25x = 2.5

x = 10

Therefore, Matt’s speed is 10 miles per hour.

The complete question is:

Doug, who runs track for his high school, was challenged to a race by his younger brother, Matt. Matt started running first, and Doug didn’t start running until Matt had finished a quarter-mile lap on the school track. Doug passed matt as they both finished their sixth lap. If both boys ran at a constant speed, with Doug running 2 miles an hour faster than Matt, what was Matt’s speed?

A. 10.5 miles per hour

B. 10 miles per hour

C. 9 miles per hour

D. 8 miles per hour

E. 7.5 miles per hour

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