A diver is on a board 1.80 m above
the water. She jumps straight up
at 3.62 m/s.
At what speed does she hit the water?
[?] m/s

Answers

Answer 1

Answer:

v = 6.95 m/s

Explanation:

Given that,

A diver is on a board 1.80 m above  the water, s = 1.8 m

The initial speed of the diver, u = 3.62 m/s

Let v is the speed with which she hit the water. It will move under the action of gravity. Using the equation of motion as follows :

\(v^2-u^2=2gs\\\\v=\sqrt{u^2+2gs} \\\\v=\sqrt{(3.62)^2+2(9.8)(1.8)} \\\\v=6.95\ m/s\)

So, she will hit the water with a speed of 6.95 m/s.


Related Questions

What cause sound seismic and electromagnetic waves to transmit energy through different mediums

Answers

Answer:

Explanation:

Sound, seismic, and electromagnetic waves transmit energy through different mediums due to the motion of particles in the medium.

Sound waves transmit energy through the vibration of particles in a solid, liquid, or gas. The energy is transferred from particle to particle as the wave travels through the medium.

Seismic waves are created by the sudden release of energy from earthquakes, volcanic eruptions, or other geological events. These waves travel through the Earth's solid mantle and crust, transmitting energy through the vibration of particles in the rock.

Electromagnetic waves are a type of wave that does not require a medium to travel through. They are created by the motion of charged particles, such as electrons, and can travel through a vacuum, such as space. Electromagnetic waves transfer energy through the oscillation of electric and magnetic fields.

9. The radii of three lead balls are 5 cm, 8 cm and 12 cm. The three balls are melted into one
ball. What is the radius of this new ball?

Answers

Answer:

Explanation:

Radius of first spherical ball =

2

2

cm=1cm

Radius of second spherical ball =

2

2

3

 

14.5

cm=

3

 

14.5

cm

Let the radius of the third ball be r cm.

Radius of the main spherical ball =

2

5

cm=2.5cm

Volume of main spherical ball = Volume of spherical ball  1+Volume of spherical ball 2+ Volume of spherical ball 3

Volume of a sphere =

3

4

πr

3

So,  

3

4

π×2.5

3

=

3

4

π1

3

+

3

4

π(

3

 

14.5

)

3

+

3

4

πr

3

⇒2.5

3

=1

3

+(

3

 

14.5

)

3

+r

3

⇒r

3

=15.625−1−14.5

⇒r

3

=0.125=0.5×0.5×0.5

⇒r=0.5

The Cockroach is an amazing bug that can compass itself into half of its normal height.
A. True
B. False

Answers

A: True because Cockroches may not be the best loved but they usually compass themselves into Half of its size

Why is an element considered a pure substance?

im i right


An element is considered a pure substance because it is made up of only one type of atom and cannot be broken down into a simpler form.

Answers

Answer:

Explanation:

right

Can you help me with this please

Can you help me with this please

Answers

According to the information, we can infer that the correct sentence is: A mosquito flying with a velocity of 5 m/s (option C).

What is the momentum?

Momentum is a term that refers to a physical property of moving objects. Momentum is a measure of the amount of motion a moving object has and is related to the mass and velocity of the object.

Based on the above, we can infer that the correct option is correct because the fly would have more momentum than the other objects because its mass is less W

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Please help: "A runner moves 2.38 m/s north. She accelerates at 0.310 m/s² at a -62.0° angle. How many seconds later is she running directly east?" Thanks!

Answers

According to   equations of motion, we get after 8.70 seconds  she running directly east.

Which are the 3 equations of motion?Three equations of motion, commonly referred to as the laws of constant acceleration, exist for uniform acceleration. In order to derive the components such as displacement(s), velocity(initial and final), time(t), and acceleration(a), these equations are used.

These are the three equations:

v = v₀ + ats = v₀ t + ½at. v= v₀ + 2as.

Given :

v₀ = 2.38 m/s

v = 0 m/s

a = 0.310 sin (-62.0°) m/s²

to find time t :

v = at + v₀

0 m/s = (0.310 sin (-62.0°) m/s²) t + (2.38 m/s)

t = 8.70 s

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what is the name of the outer rigid layer of a planet?

Answers

Answer:

The crust is the outer rigid layer of a planet

Answer:

The lithosphere

Explanation:

Edwin Hubble’s discovery of Cepheid variable stars in the Andromeda Nebula demonstrated that spiral galaxies were actually distant galaxies. What might have happened had Andromeda not contained any Cepheid variables? Imagine that you are an astronomer living at that time, and you are trying to find some other evidence that would decide between the "Nebular Hypothesis" and the "Island Universe Hypothesis." You have been granted a small amount of observing time on the world’s largest telescope, with no possibility of asking for more time.
Answer the following two questions with a paragraph:
Describe the research program that you would carry out with your precious telescope time. What data would it collect? How would this discriminate between hypotheses?
Why do you feel this program has the best chance of success?

Answers

I would conduct a research program to observe and analyze the spectra of galaxies to gather information about their composition and motion.

With my limited observing time on the world's largest telescope, I would focus on collecting spectral data from various galaxies. Spectroscopy allows astronomers to analyze the light emitted by celestial objects and identify the elements present in their composition. By observing the spectra of galaxies, I could look for distinct patterns or signatures that could differentiate between the two hypotheses.

In the case of the Nebular Hypothesis, which suggests that spiral galaxies are merely nebulae within our own Milky Way, the spectral data would likely exhibit similarities to known nebulae. It would show characteristic emission lines associated with ionized gases, such as hydrogen or oxygen. If this were the case, it would support the notion that spiral galaxies are part of our own galaxy.

On the other hand, if the spectral data revealed a different pattern, such as absorption lines indicative of stars or stellar processes, it would lend support to the Island Universe Hypothesis. This hypothesis proposes that spiral galaxies are distinct, independent entities scattered throughout the universe. The presence of absorption lines associated with specific chemical elements or molecules commonly found in stars would suggest that spiral galaxies are not just nebulae but actual galaxies in their own right.

By carefully analyzing the spectral data collected from various galaxies, I would be able to compare their compositions and identify any significant differences that would help discriminate between the two hypotheses. This research program offers the best chance of success because it leverages the power of spectroscopy to provide concrete evidence regarding the nature of spiral galaxies, regardless of the absence of Cepheid variables in Andromeda.

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a women is applying a 50 n force to the lease of her dog at angle of 30 degrees from horizontal. what is the y component of this force?

Answers

Answer:

25

Explanation:

sin(30) = x/50

x = 25

An alpha particle (a He nucleus, containing two protons and two neutrons and having a mass of 6.64x10-27 kg) traveling horizontally at 35.6 km/s enters a uniform, vertical, 1.20 T magnetic field. Part A: what is the diameter of the path followed by this alpha particle (3 significant figures)
Part C: what is the magnitude of the acceleration of the alpha particle while it is in the magnetic field?

Answers

Part A: The diameter of the path followed by the alpha particle is approximately 0.285 meters (to 3 significant figures).

The path followed by a charged particle in a magnetic field can be determined using the formula for the radius of the circular path: r = (m*v) / (q*B), where r is the radius, m is the mass of the particle, v is its velocity, q is its charge, and B is the magnetic field strength.

Given the mass of the alpha particle (m = 6.64x10^(-27) kg), its velocity (v = 35.6 km/s = 35.6x10^3 m/s), the charge of an alpha particle (q = 2 times the charge of an electron), and the magnetic field strength (B = 1.20 T), we can calculate the radius of the path.

Plugging in the values into the formula, we have: r = (6.64x10^(-27) kg * 35.6x10^3 m/s) / (2 * 1.60x10^(-19) C * 1.20 T) = 0.285 meters.

Therefore, the diameter of the path followed by the alpha particle is approximately 0.285 meters.

Part C: The magnitude of the acceleration of the alpha particle while it is in the magnetic field is 8.92x10^12 m/s^2 (to 3 significant figures).

The acceleration of a charged particle moving in a magnetic field is given by the formula: a = (q * v * B) / m, where a is the acceleration, q is the charge of the particle, v is its velocity, B is the magnetic field strength, and m is its mass.

Using the given values, we can calculate the acceleration: a = (2 * 1.60x10^(-19) C * 35.6x10^3 m/s * 1.20 T) / 6.64x10^(-27) kg = 8.92x10^12 m/s^2.

Therefore, the magnitude of the acceleration of the alpha particle while it is in the magnetic field is approximately 8.92x10^12 m/s^2.

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who agree?? with this​

who agree?? with this

Answers

Explanation:

ME!!!!!!!!!!!!!!!!!!

Answer:

I Fully Agree with this becoz it is only the key...

Do u agree?

Select the word that completes each statement

Select the word that completes each statement

Answers

The word that completes each statement are as follows:

A force is a push or pull.An unbalanced force changes an object’s motion.Objects have inertia and resist forces that try to change their motion.Newton's 3rd Law of Motion: If one object exerts a force on a second object, the second object exerts a force on the first object that is equal in magnitude and opposite in direction.If you kick a soccer ball, and the soccer ball exerts an equal but opposite force on your foot, the action force is the foot.If you kick a soccer ball, and the soccer ball exerts an equal but opposite force on your foot, the reaction force is the ball.Newton's second law states that when an unbalanced force acts on an object, the object will be accelerated.

What is a force?

In Science, a force can be defined as a push or pull of an object or physical body, which typically results in a change of motion (acceleration), especially due to the interaction of the object with another.

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. A car starts to move from rest has an acceleration of 3m/s².what will be the velocity and distance travelled by the car after 50sec.​

Answers

Sure! Here are the steps for calculating the velocity and distance traveled by the car after 50 seconds :

Step 1: Calculate the velocity using the equation:

\(v = u + at\)

where:

- \(v\) is the final velocity

- \(u\) is the initial velocity (0 m/s, as the car starts from rest)

- \(a\) is the acceleration (3 m/s²)

- \(t\) is the time (50 seconds)

Substituting the values into the equation:

\(v = 0 + (3 \, \text{m/s²}) \times (50 \, \text{s})\)

Step 2: Calculate the distance traveled using the equation:

\(s = ut + \frac{1}{2}at^2\)

where:

- \(s\) is the distance traveled

- \(u\) is the initial velocity (0 m/s)

- \(a\) is the acceleration (3 m/s²)

- \(t\) is the time (50 seconds)

Substituting the values into the equation:

\(s = 0 \times (50 \, \text{s}) + \frac{1}{2} \times (3 \, \text{m/s²}) \times (50 \, \text{s})^2\)

Now, let's simplify these equations:

\(v = 3 \times 50\)

\(s = \frac{1}{2} \times 3 \times 50^2\)

Calculating the results:

\(v = 150\) m/s

\(s = 3750\) meters

Therefore, after 50 seconds, the car will have a velocity of 150 m/s and would have traveled a distance of 3750 meters.

A force of 1000 Newtons is used to push a box on a flat floor. It accelerated at a rate of 5 m/s2. What is the mass of the wagon?

Answers

Answer:

67.56kg

Explanation:

Fapp+mg = ma

Fapp= applied force

mg = reactional force

g = acceleration due to gravity

Where g = 9.8m/s^2 a= 5 m/s2, Fapp= 1000N.

1000N = ma + mg

1000N = m( a+g )

1000N = m ( 5+9.8)

1000N = m×14.8

m = 1000÷14.8

m = 67.56kg.

Hence the mass of the wagon will be 67.56kg

Describe the sequence of mechanical energy events that lets you hear the
muffled sound of a radio from inside your neighbor's closed house.

Describe the sequence of mechanical energy events that lets you hear themuffled sound of a radio from

Answers

Answer:

Starting from the beginning.

There is a radio signal that is received by the radio.

The radio interprets the signal and produces a current in response to it.

That current goes to a membrane that oscillates producing sound, the oscillation of the membrane is the first mechanical energy event here.

These oscillations can travel in material mediums, for example, the air. Then there is a production of waves (soundwaves) that travel in the air (second event).

Those waves now hit the wall that separates you and your neighbor, as the wall is made of a material, the soundwaves can travel through it, but they will be dispersed (a part of the waves rebounds on the wall, and another part is dissipated as the wave travels through the wall), there is also a transmitted part of the wave, that is now in your house. (this change of medium will be the third event). Now only the lower frequencies survive, this is why the sound is "muffled".

Those remaining frequencies now travel in your house, and when they reach your ear, your ear sends a signal to your brain and your brain interprets them as sound. The wave interacting with your ear will be the fourth and last mechanical energy event.

A frictionless cart of mass 10kg has a force of 30N applied to it for just 1 minute. How fast will the cart be going at 30 sec

Answers

Therefore, the cart will be going 90 m/s at 30 sec This problem can be solved using kinematic equations. There are two ways to approach this problem

The main answer method is a shortcut, while the  method involves the use of formulas. method is as follows The impulse J equals the change in momentum p. The formula is as follows J = pSubstitute the values into the formula

J = p30 N × 60 s = p1,800

N·s = p

The change in momentum is equal to the mass times the velocity difference.

The problem can be solved using kinematic equations. The first step is to find the acceleration of the cart. The formula is as follows F = maSolve for a:a = F/mSubstitute the values into the formula:

a = 30 N/10 kg = 3 m/s²

The second step is to use the following formula to find the final velocity v = u + at The initial velocity u is 0 m/s because the cart is at rest

.v = u + at

Substitute the values into the formula:

v = 0 m/s + (3 m/s²)(30 s)v = 90 m/s

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List 5 plants or animals that the emporer penguin eats

Answers

Answer:

Emperor penguins are near the top of the Southern Ocean’s food chain. They have a varied menu that changes with the season. Some prey items are more important than others. One of the most frequently eaten prey species is the Antarctic silverfish Pleuragramma antarcticum. They also eat other fish, Antarctic krill and some species of squid. Most prey items are small. Since they are very cold when ingested, their small size makes it easier to bring food up to body temperature to digest it.

A helicopter changes its velocity from 22.0 m/s [E] to 10.0 m/s [W] during a time interval of 8.0 s. What was the helicopter’s average acceleration?

Answers

The average acceleration of the helicopter, given that it changes its velocity from 22.0 m/s to 10.0 m/s is –1.5 m/s²

How do I determine the average acceleration ?

We understood that acceleration is defined as the change in velocity with time i.e

a = (v – u) / t

a is the acceleration v is the final velocity u is the initial velocity t is the time

With the above formula, we can determine the average acceleration of the helicopter. Details below

The following data were obtained from the question:

Initial velocity (u) = 22.0 m/sFinal velocity (v) = 10.0 m/sTime (t) = 8.0 s Average acceleration (a) =?

a = (10 – 22) / 8

a = –12 / 8

a = –1.5 m/s²

Thus, we can conclude that the average acceleration is –1.5 m/s²

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What has more kinetic energy 15 kg ball rolling north at 15 m/s or a 15 kg ball rolling backwards at 7m/s

Answers

Answer:

15 kg ball

Explanation:

a tuning fork with a frequency of 200 hz will resonate if a sound wave incident on it has a frequency of

Answers

A tuning fork with a frequency of 200 Hz will resonate when a sound wave incident on it has a frequency that matches its natural frequency.

This is because the tuning fork is designed to vibrate at a specific frequency, which is determined by its shape and size. When the tuning fork is struck, it begins to vibrate at its natural frequency, producing a sound wave that has a frequency of 200 Hz. When a sound wave with a frequency of 200 Hz strikes the tuning fork, it causes the tuning fork to vibrate at its natural frequency, leading to resonance.

It is important to note that the tuning fork will not resonate with sound waves that have a frequency different from its natural frequency of 200 Hz. If a sound wave with a different frequency strikes the tuning fork, the tuning fork will not vibrate at its natural frequency and resonance will not occur.

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A pring of force contant 120 N/m i acted up by a contant force of 240n. Calculate the elatic potential tored in the pring

Answers

A spring of force constant 120 N/m acted up by a constant force of 240N. Then, the elastic potential energy stored in the spring is 240 Nm.

The elastic potential energy stored in the spring is formulated as follows

                                                 PE = ½kx²

Where PE is the elastic potential energy, x is the displacement of the spring from its equilibrium position, and k is the spring force constant.

In this question, the spring force constant is 120 N/m, and the constant force acting on the spring is 240 N. To find the spring displacement, we can use the formula:

F = kx

Where F is the force acting on the spring, x is the displacement, and k is the force constant,

So that:

F = kx

240 N = 120 N/m . x

x = 240 N/120 N/m

x = 2 m

Once x is known, then we can calculate the potential energy of the spring:

PE = ½kx²

PE = ½ (120) (2²)

PE = 60 x 40

PE = 240 Nm

So, the elastic potential energy stored in the spring is 240 Nm.

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IS THIS CORRECT???...........................

IS THIS CORRECT???...........................

Answers

Answer:

A. consumers

B. multi-cellular

Explanation:

Only plants have chlorophyll and only plants have a cell wall so C and D are out of the window. They are consumers because, they don't have photosynthesis so they have to eat. They are multi-cellular because, animals all have at least a brain, body, etc. Which all need millions of cells.

A tennis ball is thrown straight up into the air with an initial velocity of 9.5 m/s. How long does it take to reach the top of the trajectory?

Answers

Answer:

0.969 s  (3 s.f.)

Explanation:

Constant Acceleration Equations (SUVAT)

\(\boxed{\begin{array}{c}\begin{aligned}v&=u+at\\\\s&=ut+\dfrac{1}{2}at^2\\\\ s&=\left(\dfrac{u+v}{2}\right)t\\\\v^2&=u^2+2as\\\\s&=vt-\dfrac{1}{2}at^2\end{aligned}\end{array}} \quad \boxed{\begin{minipage}{4.6 cm}$s$ = displacement in m\\\\$u$ = initial velocity in ms$^{-1}$\\\\$v$ = final velocity in ms$^{-1}$\\\\$a$ = acceleration in ms$^{-2}$\\\\$t$ = time in s (seconds)\end{minipage}}\)

When using SUVAT, assume the object is modeled as a particle and that acceleration is constant.

Acceleration due to gravity:  g = 9.8 ms⁻²

Resolving vertically, taking up as positive:

u = 9.5 m/sv = 0 m/s
When projected objects reach the top of their motion, they stop momentarily.  Therefore, the velocity v is zero at that point.a = -9.8 m/s²
As g always acts downwards and up is taken as positive, acceleration is negative.

\(\begin{aligned}\textsf{Using} \quad v&=u+at:\\\\0&=9.5+(-9.8)t\\-9.5&=-9.8t\\t&=\dfrac{-9.5}{-9.8}\\t&=0.9693877551\\\implies t&=0.969\; \sf s\;(3\:s.f.)\end{aligned}\)

Therefore, it takes 0.969 s (3 s.f.) for the tennis ball to teach the top of its trajectory.

The magnitude of the angular momentum of the two-satellite system is best represented by

Answers

The magnitude of the angular momentum of the two-satellite system is best represented as, L=m₁v₁r₁-m₂v₂r₂.

What is angular momentum.?

The rotational analog of linear momentum is angular momentum also known as moment of momentum or rotational momentum.

It is significant in physics because it is a conserved quantity. the total angular momentum of a closed system remains constant. Both the direction and magnitude of angular momentum are conserved.

The magnitude of the angular momentum of the two-satellite system is best represented as;

L=∑mvr

L=m₁v₁r₁-m₂v₂r₂

Hence, the magnitude of the angular momentum of the two-satellite system is best represented as, L=m₁v₁r₁-m₂v₂r₂.

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Which of the following industries is the largest producer of primary air pollutants in the United States?

Answers

The largest producer of primary air pollution in the United States is what? electricity producing plants.

Answer:

electricity production

Explanation:

a motor that does 24 000] of work in two minutes​

Answers

The power of a motor that does 24 000 J of work in two minutes​ is 200 watts.

Give a brief account on Power?

Power is the rate at which energy is transferred, used, or transformed. It is often measured in units of watts (W) or horsepower (hp). Power can also refer to the ability or capacity to do something, such as the power of a ruler to govern or the power of a machine to perform a specific task. In physics, power is defined as the amount of work done per unit of time.

The power output of that motor would be 24,000 joules per two minutes, or 12,000 joules per minute (24,000/2). To convert to watts, divide by the number of seconds per minute, which is 60. Therefore, the power output of the motor is 200 watts (12,000/60).  

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The complete question is:

 a motor that does 24 000] of work in two minutes

Question 2 - A circuit breaker is designed to operate with a voltage capacity between 110-220 Volts
and a current capacity in the range of 15-30 Amp. How would you test the circuit for its tripping
behavior. (Hint: Identify the type of test that is applicable for range of values)

Answers

To test the circuit breaker's tripping behavior, you can perform an overload test.

A circuit breaker is a mechanical switching device that interrupts an electric circuit's current when it detects an overcurrent condition. A circuit breaker is designed to operate with a voltage capacity between 110-220 Volts and a current capacity in the range of 15-30 Amps.

The following are the procedures for testing the circuit breaker:

Inspection:

Examine the circuit breaker for any visual harm or defects.

Ensure that all screws and terminals are secure and free of debris.

Continuity:

Use a multimeter to check the circuit breaker's continuity.

Ensure that there is continuity between the input and output wires of the circuit breaker and that the multimeter's resistance reading is zero when the breaker is closed.

Load:

Examine the circuit breaker's load-carrying capacity.

To do so, use a power source that is within the circuit breaker's current range and attach the circuit breaker to it.

As a result, the power source's current would flow through the circuit breaker.

Observe the tripping behavior:

After the power source has been connected, increase the current gradually to see if the circuit breaker trips at the appropriate value.

To do this, use a variable resistor or a load bank device to regulate the current flowing through the circuit breaker.

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With an explanation please!

A car of mass 500kg is moving at 10m/s. The engine does work on the car and the speed increases to 16m/s. How much work is done by the engine to increase the speed of the car?

Answers

Answer:

39,000 Joules of Work

Explanation:

Work can be found out through the change in Kinetic Energy.

W = ΔKE

Change in KE is:

\(W = KE_{Final} - KE_{Initial}\)

Expand the equation you get:

\(W=\frac{1}{2} mv^{2}_{f} -\frac{1}{2} mv^{2}_{i}\)

Plugin the known values and solve:

\(W=\frac{1}{2} (500)(16)^{2} -\frac{1}{2} (500)(10)^{2}\)

\(W=(250)(256) -(250)(100)\)

\(W=64000-25000\)

\(W=39000 J\)

question: how does the size of the milky way compare to the size of the spiral nebulae in your random sample? is the milky way many times larger than, many times smaller than, or typical of the spiral nebulae? (2 points)

Answers

Our Solar System is contained within the Milky Way galaxy, which gets its name from how it appears to us on Earth: a hazy ribbon of light visible in the night sky made up of stars that are too close together to be seen individually.

Our galaxy is around 100,000 light-years big and likely includes 100 to 400 billion stars. That sounds enormous, and it is—at least until we start putting it in the context of other galaxies.

The Milky Way is a massive cluster of stars, gas, and dust. Because it would appear to be a spinning pinwheel from the top or bottom, this galaxy is known as a spiral galaxy. About 25,000 light-years from the galactic center, on one of the spiral arms, is where the Sun can be found.

Spiral nebulae are objects that resemble spiral-shaped clouds but which are actually galaxies outside of our Milky Way galaxy.

Shapely asserted that what were then referred to as "spiral nebulae," such as Andromeda, are nearby and far smaller than the Milky Way, and that the Milky Way is so large that it is the main object in the cosmos.

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The moon euphoria is in a circular orbit around Jupiter. Which of the following describes the direction of the centripetal force acting on euphoria.
A) pointing hand into the path of its orbit
B) pointing towards the sun
C)Pointing away from Jupiter
D) pointing towards Jupiter

Answers

I think it’s A I’m not sure love but hope this helps sorry if it’s not since a Centripetal Force is a a force that acts on a body moving in a circular path and is directed toward the center around which the body is moving. You can think which one is pointing towards the center and and an object moving in a circular turn
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Select which of the following does not describe how the sequence of activities can be drawn to reflect the availability of a limited quantity of resources.a. The activities using the limited resources are shown in a loop relationship as they are available.b. The activities using the limited resources are shown in a ladder relationship as they are available.c. If there is no technical constraint for the activities, the activities could be arranged serially by the availability of the resources.d. The activities requiring the limited resource are assigned at different times. Which of the following is not a reason that rats and mice are used to study cognitive map formation?A. They are cute and cuddly.B. They have highly developed motor skills.C. Readily learn how to navigate successfully in both familiar and novel environments. List and briefly describe the components of a financial planning model.Describe the percentage of sales model and its potential pitfalls in the financial planning process.Describe the role of a balancing item or "plug" in financial planning.Why do current or fixed assets often not vary proportionately with sales? Why is it uncommon to expect assets to change proportionately with sales? For a firm with $3 million in total assets, $400,000 in net income, and $150,000 in dividend payments, first calculate the maximum rate of The local rabbit population triples every month. If there are currently 35 rabbits, how many rabbits will there be in 6 months? SCIENCE whoever gets this first will get a brainlestWhat evidence did Alfred Wegener have for his theory of continental drift?He knew that convection occurred in the mantle and made the continents move apart.He knew that plant and animal fossils, as well as rock layers, matched on the two continents of Africa and South America.He explained how continents moved apart.He had no evidence A municipality using _________ to address collected refuse is potentially a response to the community needing another stream of affordable energy.A.landfillingB.incinerationC.compostingD.aerobic digestion Select all the points that are on the graph of the line y= -1/2x + 5A) 0,5B) 1,2C) 1,4D) 5,0E) 10,0 Metaphors in red kayak Let S denote the vector space of solutions to the differential equation my" - 8y' + 18y = 0. Circle each set below, if any, that is a basis for S. Show work or explanation to justify your answer: Si = {x} S2 = {x",) S3 = {3.8 +67"} Su = {z + 4x0,728 - } Ss = {x....) b). Prove that if S-AS = B for some invertible matrix S and v is an eigenvector of A corresponding to then S-lv is an eigenvector of B corresponding to . c) Let {vi. Va be a linearly independent set of vectors in a vector space V. Prove that if va span{ V1.va). then {V1, V2, V3} is a linearly independent set. d). TRUE or FALSE: If A is a 13 x 4 matrix will nullity(A) 0, then colspace(A) = R'. an asteroid falls from the sky and hits the surface of mars. which undergoes the greater change in momentum during the time of contact? Suppose your company is thinking about how it can improve employee benefits. The company believes increasing salary and health benefits will improve employee morale which, in turn, should improve customer satisfaction. However, the company also wants to make sure the shareholders will not suffer financial harm since more money will be spent internally. From this viewpoint, the company is taking the _______ approach to ethics. Write a letter about 120 words to your friend narrating some intresting and memorable incident in which along your other cousin's were involved Hi, I am not getting the correct output for the following code. The question is this:Create a C# program that prompts the user for three names of people and stores them in an array of Person-type objects. There will be two people of the Student type and one person of the Teacher type.o To do this, create a Person class that has a Name property of type string, a constructor that receives the name as a parameter and overrides the ToString () method.o Then create two more classes that inherit from the Person class, they will be called Student and Teacher. The Student class has a Study method that writes by console that the student is studying. The Teacher class will have an Explain method that writes to the console that the teacher is explaining. Remember to also create two constructors on the child classes that call the parent constructor of the Person class.o End the program by reading the people (the teacher and the students) and execute the Explain and Study methods.o When defining all the properties, use property concept of C#class Test{public static void Main(string[] args){Person[] person = new Person[3];Console.Write("Enter Name 1 : ");string name = Console.ReadLine();Student s1 = new Student(name);Console.Write("Enter Name 2 : ");name = Console.ReadLine();Student s2 = new Student(name);Console.Write("Enter Name 3 : ");name = Console.ReadLine();Teacher t = new Teacher(name);person[0] = s1;person[1] = s2;person[2] = t;Console.WriteLine(person[0].toString());Console.WriteLine(person[1].toString());Console.WriteLine(person[2].Explain());}}class Person{public string Name;public Person(string N){Name = N;}public string toString(){return ("Name: " + Name);}}class Student : Person{public Student(string N) : base(N){}public void Study(){Console.WriteLine("The student is studying\n");}}class Teacher : Person{public Teacher(string N) : base(N){}public void Explain(){Console.WriteLine("The teacher is explaining\n");}}}