but wait a minute! suppose i have normalized the wave function at time . how do i know that it will stay normalized, as time goes on, and evolves?

Answers

Answer 1

The normalization of a wave function is a property that can change over time as the wave function evolves due to the Schrödinger equation. However, it can be shown that if a wave function is normalized at one time, it will remain normalized at all later times if the Hamiltonian operator is a self-adjoint operator.

The time evolution of a wave function is given by the Schrödinger equation, which is a partial differential equation that describes the evolution of a wave function over time. The Schrödinger equation can be written as:

iℏ ∂ψ/∂t = H ψ

where ψ is the wave function, H is the Hamiltonian operator, and i is the imaginary unit. The Hamiltonian operator describes the total energy of the system and includes the kinetic and potential energy of all particles in the system.

If the Hamiltonian operator is a self-adjoint operator, it can be shown that the norm of the wave function (i.e. the square of the wave function integrated over all space) is constant in time, meaning that the wave function will remain normalized as it evolves over time. In other words, if the wave function is normalized at one time, it will remain normalized at all later times.

This property is a result of the unitary nature of quantum mechanics, which ensures that probabilities are conserved in time. The norm of the wave function represents the probability density, so if the wave function is normalized, the probabilities of all possible outcomes add up to 1.

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Related Questions

as electrons are passed down the etc associated with ps ii, they lose energy. what happens to this energy?

Answers

Electrons lose energy when they pass through the proteins that exist between PSII and PSI. This energy is utilised to transport hydrogen atoms from the stroma to the thylakoid lumen.

As soon as electrons are lost, each photosystem is replenished with electrons from another source. The PSII reactive center receives electrons from water, but the PSI reactive center fills with electrons flowing down the electron transport chain from her PSII.

Two electrons lost from photosystem II are replaced by water molecule fission. Breaking down water also releases hydrogen ions into the lumen. This contributes to a hydrogen ion gradient similar to that produced by mitochondrial electron transport. Electrons move via a succession of proteins from photosystem II. This electron transport system uses the energy of electrons to drive hydrogen ions into the interior of the thylakoid.

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Electric potential is the amount of potential energy per unit of charge

Answers

Explanation:

Yes, that is correct. Electric potential is a measure of the electric potential energy per unit of electric charge at a certain point in an electric field. It is often denoted by the symbol V and is measured in volts (V).

at the instant of take-off, a long jumper has a horizontal velocity of 9.47 m/s and a vertical velocity of 3.21 m/s. find the angle of take-off (relative to the horizontal) and the magnitude of the resultant velocity vector.

Answers

The angle of take-off relative to the horizontal is 70.97 ° and the magnitude of the resultant velocity vector is 9.99 m/s.

The horizontal velocity = 9.47 m/s

The vertical velocity = 3.21 m/s

The resultant velocity is expressed by using Pythagoras as follows :

Resultant Velocity , V = √ Vx²  +  Vy²

Resultant Velocity , V = √ (9.47 m/s )² + ( 3.21 m/s)²

Resultant Velocity , V  = 9.99 m/s

The angle of take - off :

tan Ф = Vy / Vx

Ф = tan⁻¹ ( 9.47 / 3.21 )

  = 70.97 °

Thus, the angle is 70.97 ° .

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two trains on separate tracks move toward each other. train 1 has a speed of 123 km/h; train 2, a speed of 66 km/h. train 2 blows its horn, emitting a frequency of 560 hz. what is the frequency heard by the engineer on train 1?

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Two trains on the separate tracks move toward each other. Train 1 has speed of 123 km/h, train 2, speed of 66 km/h. Train 2 blows its horn, emitting a frequency of 560 hz. The frequency heard by the engineer on train 1 is 662.41 Hz.

Train 1 (observer) :

Speed = 109 km/h = 30.2 m/s

Train 2 (source) :

Speed = 99 km/h = 27.5 m/s

Train 2 emitting frequency = 500 Hz

The expression is as follows :

F = F' ( v + v1 / ( v - v2 )

Where

F' = 560 Hz

v is velocity of sound = 343 m/s

v1 = 30.2 m/s

v2 = 27.5 m/s

Frequency  = 560 ( ( 343 + 30.2 ) / 343 - 27.5 ))

Frequency = 560 × (373.2 / 315.5)

Frequency = 662.41 Hz

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two rectangular tanks contain air that have a constant temperature and are connected by a single valve. one tank is holding moist air, while the other is holding dry air. once the valve is opened, what is most likely to happen?The two air masses will remain stationary and not mix. The two air masses will mix until an equilibrium is reached The moist air will become even more moist, and the dry air will become even more dry None of the answers are correct

Answers

The right response is That dry air will get drier and the moisture will get even more moist.

What are masses in maths?

Mass is a physical quantity. This unit of mass measuring is an object's weight. It is measurable in conventional mass units such milligrams, kilograms, and pounds. Although smaller things are measured in grams, the kilogram is the actual SI mass unit.

What is mass in physics with example?

The best way to grasp mass is the amount of matter that any item or body is made of. There is mass in everything we are able to see. A table, a chair, your bed, the ball, a cup, or even air are examples of items with mass. Everything is therefore either lighter or heavy.

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2. Which is done by a machine?
A -increase work
B- increase force
C- change force
direction
D-increase velocity

Answers

A machine can increase force,  change force direction, increase velocity.

What is work?

A machine is a physical system that use power to exert forces, regulate movement, and carry out an action. The phrase is frequently used to refer to both manmade devices that use engines or motors as well as natural biological macromolecules like molecular machines.

To make the process easier, machines are utilized. In general, it is believed that machines enhance the quantity of work done in order to do the task quickly. However, this is untrue because energy is a form that can only be transferred, not created or destroyed, as work is a form of energy.

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true or false? an equipotential line passing through a point is perpendicular to the direction of the electric field at that point.

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The statement of equipotential lines passing through a point perpendicular to the direction of the electric field at that point is true.

Understanding the potential field

Equipotential fields are fields where every point in the field has the same electric potential. For an electric charge, the equipotential field is a spherical shell and the electric field lines are radial and always perpendicular to the equipotential field. Any electric charge transferred in the equipotential field requires no work.

In mathematics and physics equipotential refers to a region in space where every point in it has the same potential. In electricity, it can be defined as the position of points that have similar potential values. Equipotentials are often referred to as equipotential surfaces or fields, namely fields that have a set of points that are spread continuously and have similar potentials.

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A potter’s wheel moves from rest to an angular speed of 0.30 rev/s in 25.0 s.
Assuming constant angular acceleration,
what is its angular acceleration in rad/s^2
?
Answer in units of rad/s^2

Answers

The angular acceleration for the potter's wheel is 0.012 rad/s².

How to calculate angular acceleration?

The equation for angular velocity with constant angular acceleration is given by:

ωf = ωi + αt

where ωf is the final angular velocity, ωi is the initial angular velocity (which is 0 in this case), α is the angular acceleration, and t is the time.

Plugging in the given values, we have:

0.30 rad/s = 0 + α x 25.0 s

Dividing both sides by 25.0 s, we get:

α = 0.30 rad/s / 25.0 s = 0.012 rad/s²

So the angular acceleration is 0.012 rad/s².

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which of the following does not describe a way in which machines function? by enhancing range of motion and speed of movement so that resistance can be moved farther or faster than an applied force by balancing multiple forces by altering the resulting direction of an applied force by enhancing force in an attempt to increase total force needed to overcome a resistance

Answers

The method by which machines increase range of motion and speed of movement so that resistance can be moved farther or more quickly than an applied force is not described in the following.

Which of the following best describes the gravitational attraction of the earth on an object: biomechanics force levers?

The earth pulls your body downward, which is known as gravity. The location where your body's mass is concentrated is known as your center of gravity. A hypothetical location where the force of gravity seems to act is the center of gravity (COG) of an organism.

Which of the following claims regarding friction force is false?

No relative motion exists between the two contact surfaces in a rolling motion. Therefore, in a rolling motion, the friction does not do any work. Because of this, rolling friction is lower than sliding or kinetic friction.

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PLEASE HELP Red tape can be used to repair a broken tail light on a car. In one or two sentences explain how different colors of light are transmitted, reflected and absorbed by this kind of tape.

Answers

Answer:

When sunlight shines through an orange solution, the violet, blue and green wavelengths are absorbed. The other colors pass through. The transmitted light is the light we see, and it looks orange. Colored objects look the way they do because of reflected light.

Explanation:

the hour, minute, and second hands on a clock are 0.25 m, 0.30 m and 0.35 m long, respectively. what are the distances traveled by the tips of the hands in a 30 min interval?

Answers

The points of the hour hand, minute hand, and second hand cover 0.087 metres, 1.3 metres, and 85 metres in a 40-minute period, respectively.

How far do the tips of the hands move in a period of 25 minutes?

The minute hand's tip completes one full rotation in 60 minutes, as we also know. Thus, it will finish the 25/60th of the circle in 25 minutes. The moved distance is therefore equal to 2r * 25/60 inches, or 11.78 inches.

What is the length? travelled on the hour hand's pointer?

The radius of the circle the point creates is equal to the distance it travels. the radius of the circle formed by the tip and the angle that is covered.

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give 5 examples of the 3 types of heat transfer

Answers

The three modes of heat transfer are conduction, convection and radiation. Conduction takes place in solids and convection takes place in liquids and gases. Radiation is the mode of heat transfer through vacuum.

What is heat transfer ?

Heat will transfer from a hotter region to the colder region due to the differential distribution of temperature. There are three modes of heat transfer namely conduction, convection and radiation. Conduction takes place in solids and convection takes place in liquids and gases. Radiation is the mode of heat transfer through vacuum.

Heat and light is reaching from the sun to earth by radiation. The ground is warming up through the conduction process. Similarly all the solid substances are heating up by conduction.

The water resources are warming up by convection currents, in which the hotter molecules rises above and make the whole liquid warm.

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a 90 kg fullback running east with a speed of 5.00 m/s is tackled by a 95.0 kg opponent running north with a speed of 3 m/s. if the collision is perfectly inelastic, calculate the speed and direction of the players just after the tackle and determine the mechanical energy lost as results of the collision. account of the missing energy

Answers

627-=63- and where you live my dear sir and friend are you

consider a pool game being played on a pool table on the deck of an aircraft carrier near the bow (front). assume that the carrier is moving north at 25.0 m/s . as a result of the initial break, a ball flies over the edge of the table and over the edge of the deck with a horizontal component of velocity directed toward the bow of the ship of 5.00 m/s . what is vbw , the horizontal component of the speed with which this ball strikes the water in front of the ship (i.e., what is the speed of the ball relative to the water)?

Answers

The horizontal component of the ball's speed relative to the water is around 30.0 m/s.

What is velocity?

The direction of movement of the body or item is defined by velocity. Speed is fundamentally a scalar number. Velocity is, in essence, a vector quantity. It is the pace at which distance changes. It is the displacement rate of change. The velocity of an object is the rate at which its location changes in relation to a frame of reference and is a function of time. Velocity is similar to a speed and direction of motion specification (e.g., 60 km/hr to the north).

Here,

To find the horizontal component of the speed with which the ball strikes the water, we need to consider both the velocity of the carrier and the horizontal component of the velocity of the ball.

The horizontal component of the speed of the ball relative to the water is given by:

v_bw = v_bs + v_ship

where:

v_bw is the horizontal component of the speed of the ball relative to the water

v_bs is the horizontal component of the velocity of the ball (5.00 m/s)

v_ship is the velocity of the carrier (25.0 m/s)

So, the horizontal component of the speed of the ball relative to the water would be:

v_bw = 5.00 m/s + 25.0 m/s = 30.0 m/s

The horizontal component of the speed of the ball relative to the water is approximately 30.0 m/s.

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you are loading a dart gun. the spring that launches the dart has a spring constant 3350 n/m and a normal length of 10 cm. you push the dart into the gun and it contracts the spring until it is 2.0 cm long. how much force does the spring exert on the dart the instant it is released? enter your answer in newtons (e.g if the force is 100n, enter your answer as 100)

Answers

Whatever speed can the dart gain if it separates from spring when it hits its natural lengths (x = 0)? = 3.0 m/s in the horizontal, the spring's force was the only one acting on the dart (friction was ignored).

Where on the springs motion does the speed increase the quickest?

The greatest location, x=A, correspond to a velocity of zero, and the position with the maximum speed is x=0. The "initial condition" in t=0, where the mass is located at x=A and moving at v=0, corresponds to =0.Here the natural length of the spring is 35cm and the spring is compressed to 14cm in length. the force exerted on bow by the spring is 21cm/(100cm/m)=> F = 5.04N

What is the strongest dart gun available?

The fastest-firing Nitro dart blaster is the N-Strike Elite HyperFire. With new batteries, this fully motorised blaster can fire up to 5 dart per second, allowing kids to pelt targets with a barrage of darts.

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Answer: 268 N

Explanation:

[tex]F_{spring} =k_{s} (L-L_{0})=-3350(0.02-0.10)[/tex]

how many volts of electricity can a human withstand

Answers

A fair general rule is that if a shock reaches 2,700 volts or more, the victim frequently dies or sustains serious injuries. When the voltage reaches above 11,000 volts, a victim typically dies.

Could you withstand 10,000 volts?

Electrical engineering professor at the University college San Diego, Dr. Michael S. Morse, says but while 10,000 volt can be lethal in some situations, it is also feasible that something could have 10,000 voltages behind it and yet be reasonably safe.

Which is more lethal, current or voltage?

Personnel would never print and post warning signs warning of danger from high voltage if the voltage posed no threat. In general, the idea that "current kills" is true. Electric current is what causes cardiac fibrillation, muscle freezing, and tissue burning.

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a person is holding a rock and a ball, they throw the ball down and then drop the rock, do they have the same acceleration?

Answers

No, they don't have the same acceleration because the thrown ball accelerates faster.

Acceleration is simply defined as change in velocity over time elapsed (a = Δv/t). An object is accelerating if it is slowing down, speeding up, or changing directions. Force can make objects accelerate. If an object is at rest or is moving at a constant velocity, then it's not accelerating.

Gravity in classical mechanics is defined as a type of force. Force of gravity is sometimes called weight. Weight is equal to mass times acceleration due to gravity (W = mg).

Both the ball and the rock are affected by Earth's gravity. However, since the ball's initial speed isn't zero, it moves faster than the dropped rock, and the ball will hit the ground first.

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a racer accelerates from rest at constant acceleration for 2 seconds and travels 25 meters. if they then accelerate at the same constant acceleration for an additional 8 seconds, what is their total distance traveled in meters over the entire 10 seconds?

Answers

Distance traveled in a given amount of time is equal to the average speed. utilizing the formula s=ut+21at2s=510+212102s=50+100=150m.

Why do we measure distance, exactly?

By understanding how far an object is from us, we may calculate its actual size. It is possible to calculate the space that an object takes up in the sky. The actual size of an object can then be determined by taking into account its distance. The further away something is, the smaller it appears.

What is a meter example?

A common metric length from around three feet, 3 inches is called a metre. This proves that in the metric system, a meter is a measuring unit. Objects up to one meter in length include yardsticks, baseball bats, and guitars. Distances in sporting events like run and swimming are also measured in meters.

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which two attributes are the most weakly correlated? engine size and cylinders acceleration and mpg engine size and mpg acceleration and vweight

Answers

Engine size and mpg (miles per gallon) are the two attributes that are most weakly correlated

Which two attributes are most weakly correlated?

Engine size and mpg (miles per gallon) are the two attributes that are most weakly correlated. Engine size and mpg have a negative correlation, meaning as engine size increases, mpg decreases.

Acceleration and engine size have a positive correlation, meaning as engine size increases, acceleration also increases. This correlation is stronger than the correlation between engine size and mpg.

Acceleration and vehicle weight have a negative correlation, meaning as vehicle weight increases, acceleration decreases. This correlation is also stronger than the correlation between engine size and mpg.

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how did mesoamerica civilizations use astronomy--the study of stars and planets, in their everyday lives?

Answers

The answer is option A, B, and D.

Mesoamerican civilizations used astronomy in many aspects of their everyday lives. They developed calendars based on the movement of stars and planets, using observations to determine the seasons of the year and to track the cycles of agricultural planting and harvesting. They also used the movement of stars and planets to track animal herds, as the migration patterns of animals were closely tied to astronomical events.

Additionally, their beliefs about astronomy were closely tied to their religious practices, and they used their understanding of astronomy to predict the future and make decisions about important events such as wars, marriages, and trade. The study of astronomy was an integral part of the daily life of Mesoamerican civilizations and played a key role in their cultural, economic, and political development.

Complete question is provided in the image below.

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a cube that measures 2 cm on each side has a surface area to volume ratio of

Answers

Size and SA:V are inversely related for a certain form. The ratio of a cube with sides of 2 cm is 3 cm1, which is half of a cube with sides of 1 cm.

In mathematics, what is the surface area?

The area is the area occupied by a this double flat surface. It has a square unit of measurement. A three-dimensional object's surface area is the area occupied by its outside surface.

Describe surface area with an example.

A 3D object's surface is the entire area that all of its faces cover. For instance, the surface area of a cube is its amount if we wish to determine how much paint is needed to paint it. It is consistently expressed in square units.

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materials that usually are good conductors of electricity?

Answers

Metals such as copper, aluminium, silver, and gold, graphite, electrolytes such as aqueous salt solutions, and semiconductors such as silicon and germanium are examples of materials that are typically good conductors of electricity.

What is a simple definition of electricity?

The movement of electric energy or charge is known as electricity. It is a secondary energy source, meaning that we obtain it through the conversion of main energy sources like coal, natural gas, oil, nuclear power, and other natural sources. The flow of electrons between two places when there is a voltage differential between them constitutes electricity, which is a sort of energy that makes it possible to produce an electric current.

What type of energy is electricity?

The electricity we use is a secondary energy source since it is produced by converting primary energy sources, such as coal, natural gas, nuclear energy, solar energy, and wind energy, into electrical power.  Despite being independent properties, voltage and current interact in electrical circuits. Both are necessary for the circuit to function properly. Current in a circuit flows due to the force of voltage.

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Calculate the kinetic energy and the velocity required for a 70kg pole vaulter to pass over a 5.0m high bar. Assume the vaulter’s centre of mass is initially 0.90m off the ground and reaches its maximum height at the level of the bar itself.

Answers

Answer:

Below

Explanation:

The vaulter's entire KE will be converted to PE to clear the bar (5-.9) = 4.1 m above the COM.

PE required = mgh = 70 ( 9.81)(4.1) = 2815.5 J

KE required will then be   2815.5  J

(As an aside:  = 1/2 mv^2 = 2815.5 = 1/2 ( 70)(v^2)   shows v = 9  m/s)

a cat jumps straight up 3.00 m. how much time does it spend in the top 1.00 m (ascending and descending)?

Answers

The cat spends equal amounts of time ascending and descending, it spends a total of approximately 0.449 s in the top 1 m of its jump.

To determine the time spent by the cat in the top 1 m, we need to find the time it takes to travel the first 1 m of its 3 m jump. The motion of the cat can be modeled as a vertical, projectile motion problem. The time it takes to travel a given vertical distance can be found using the formula:

[tex]$t = \sqrt{\frac{2d}{g}}$[/tex]

Where d is the vertical distance traveled and g is the acceleration due to gravity [tex](9.8 m/s^2)[/tex]. Plugging in d = 1m and g = [tex]9.8$ m/s^2[/tex], we find that the time it takes to travel the first 1 m is

[tex]$t = \sqrt{\frac{2 \cdot 1}{9.8}} = \sqrt{\frac{2}{9.8}} \approx 0.449s[/tex]

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Devon is applying 100N of force to pull 15kg object, but the object isn’t moving.what does this indicate about the coefficient of friction for the surface?

A) the surface has a low coefficient of friction

B) the surface has a high coefficient of friction

C) you can’t draw a conclusion from the information provided

D) the static coefficient of friction is equal to the appeal force

Answers

Answer:

B) the surface has a high coefficient of friction

When an object is not moving despite an applied force, it means that the frictional force is equal to or greater than the applied force. A high coefficient of friction indicates that the frictional force is strong, making it difficult to move the object. In this case, the frictional force is equal to the 100 N of force that Devon is applying, so the coefficient of friction for the surface must be high.

The acceleration due to gravity on the moon is 1.62 m/s^2, approximately a sixth of the value on earth. for a given initial velocity v0, and a given launch angle θ0, the ratio of the range of an ideal projectile on the moon to the range of the same projectile on earth, rmoon/rearth, will be approximately?

Answers

The ratio of the ideal projectile distance on the moon to the same projectile distance on earth, moon/back, is approximately (the acceleration of gravity on the moon is 1.62 m/s², about one-sixth of the acceleration due to gravity on earth. for a given initial velocity v0  , and the specified launch angle θ0) is (option B)

The initial velocity, launch angle, and acceleration due to gravity all affect a projectile's range. The formula for an ideal projectile's range is as follows:

R = v0²sin (2θ0) / g

Where,

v0 = the initial velocity (m/s)

θ0 = the launch angle

g = the acceleration due to gravity

The acceleration caused by gravity is 1.62 m/s² for the moon and 9.8 m/s² for the earth. Ranges on the moon and ranges on earth can be expressed as follows:

R moon / R earth = (1.62 sin (2θ0)) / g

sin (2θ0) = 1.62 / 9.8

Approximately ⅙

Consequently, an ideal projectile's range on the moon is around a sixth of its range on Earth.

The question is incomplete, it should be:

The acceleration due to gravity on the moon is 1.62 m/s², approximately a sixth of the value on earth. for a given initial velocity v0, and a given launch angle θ0, the ratio of the range of an ideal projectile on the moon to the range of the same projectile on earth, rmoon/rearth, will be approximately?

A. ⅓

B. ⅙

C. 1

D. 1/12

E. ⅕

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What property can be measured without changing the substance?

Answers

A substance's physical property is indeed a quality that can be seen or quantified without affecting the substance's identity. Color, density, toughness, boiling and melting points are examples of physical qualities.

What characteristics may be evaluated without modifying the substance?

Physical characteristics are characteristics that may be seen or quantified without modifying the makeup of the substance. Some examples include the freezing, melting, and boiling points as well as color, hardness, and fragrance.

What characteristics may be identified without altering the nature of the substance?

Physical qualities are those that can be ascertained about a substance without altering its makeup. Physical qualities include traits like critical temperature, boiling point, density, reactivity, color, odor, etc.

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An acronym for the Women’s Memorial Fund is _WMF_

Using NBA instead of National Basketball Association is an example of an acronymic sentence.
_FALSE_

"Every good boy does fine" for the notes on a scale
-_Acronymic Sentence-_

“FACE” for the correct order of notes on a musical scale
-_Acronymic abbreviation-_

- “NBA” for the National Basketball Association _"Basic acronym

Acronyms formed from phrases can create - D. All of the above

An acronym can only stand for a single word. FALSE

ROYGBIV is an --- B. Acronymic abbreviation.--

The first step in creating any acronym is to C

"Acronymic Abbreviation" “MVEMJSUN” for the planets closest to the sun

Answers

The Foundation's namesake, Dr. Martha Ripley, was an ardent supporter of expert medical treatment for both married and unmarried mothers and their newborns.

What is Women memorial fund?

Since its founding in 1957, Ripley's grantmaking has focused on the welfare of women and children. Dr. Ripley was instrumental in starting the Minneapolis Maternity Hospital in 1886 and stayed involved in its issues until her death in 1912.

The facility, which was subsequently given the name Ripley Memorial Hospital, was the first in the city to establish a social services department, provide lessons on parenting and natural delivery, and allow young children to "room in" with their mothers.

The hospital's board decided to form the Ripley Memorial Foundation and donate the proceeds from the sale when it closed in 1956.

Therefore, The Foundation's namesake, Dr. Martha Ripley, was an ardent supporter of expert medical treatment for both married and unmarried mothers and their newborns.

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Please help

Predict what would happen if you dropped a 1 lb ball from 10ft in the air into sand and measured the size of the crater, and then a 10lb ball from 10ft in the air and then measured the size of the crater.

Answers

Answer:

If you drop a 1 lb ball from 10 ft in the air into sand and measure the size of the crater, and then a 10 lb ball from 10 ft in the air and measure the size of the crater, you would expect to see that the crater created by the 10 lb ball is larger than the crater created by the 1 lb ball. This is because the larger mass of the 10 lb ball will result in a greater impact force upon hitting the sand, which in turn will cause a larger excavation of the sand and thus a larger crater.

an athlete swims the length l of a pool in a time t 1and makes the return trip to the starting position in a time t 2. if she is swimming initially in the positive x direction, determine her average velocity for: the second half of swim g

Answers

The average velocity for the second half of the swim can be calculated is : v = d / t = l / t2

What is meant by average velocity?

Change in position or displacement (∆x) divided by the time intervals (∆t) in which the displacement occurs is called average velocity.

To determine the average velocity of athlete for the second half of the swim, you need to know  distance she covered and the time she took to cover it.

The distance covered in the second half of the swim is the length of the pool, l. The time taken for the second half of the swim is t2.

So, the average velocity for the second half of the swim can be calculated as follows:

v = d / t = l / t2

where d is the distance covered, t is the time taken, and v is the average velocity.

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Which of the following is not a typical technique for requirements analysis?a.) Observing the customerb.) Building prototypesc.) Determining which features will be most valuable by analyzing usage datad.) Interviewing the customere.) All of the above are typical techniques for requirements analysis problem 10. (10 pts) determine if each of the following sets is a subspace of pn for an appropriate value of n. you should use the subspace test from the lectures to show that a given set is a subspace, or, if it is not a subspace, exhibit one of the axioms of a vector space that fails to be satisfied. (a) w1 is the set of all polynomials of the form p(t) Read the story "An Unsuspecting Hero."This was not happening. I was not staring into the giant black eyes of an alien. Nope, I was definitely dreaming. I rubbed my eyes and blinked as hard as I could, but when I opened them, she was still standing there. Her skin was a shimmery purple, and she had tiny silver polka dots across her face. Her head tilted slowly from side to side like a broken seesaw trying to give one last ride. Sweat trickled down my back and across my forehead. I wanted to wipe it from my brow, but I was paralyzed. Nope, I couldn't move at all. I was afraid that any movement would make her decide she wanted earthling stew for dinner. I gulped hard at the thought. I suddenly realized that she was bouncing on her feet with excitement. A tiny mouth appeared out of nowhere and spread across her spotted face in a huge grin. Without warning, she darted forward reaching her arms out for me. I let out an embarrassing squeal and threw my hands over my face. But nothing happened. When I finally moved them, I saw her a few feet away rummaging through my backpack. What was she searching for? She pulled out a pencil and held it high in the air. "Yes!" she shouted. "This will work!" She was almost shaking with joy as she clung to my half-chewed number two pencil. She sprinted over to me and wrapped her long arms around me in a hug. Then she let go and breathed in deeply. "Sorry if I scared you," she said. "My ship crashed, but I can use this to fix it. You just saved me!" I let out a deep breath and smiled nervously. "Happy to help," I said.What is the perspective of the human at the beginning and end of the story? Afraid, then relieved Excited, then scared Nervous, then upset Thrilled, then entertained In the video case living in a digital society, what country was discussed as having a comprehensive egovernment program using digital technologies? a 6-year-old client is presenting with signs and symptoms of fever, cough, stuffy nose, general malaise, and muscle aches. the nurse prepares to administer which medication to this client? what is max, the maximum wavelength of the incident light that can cause electrons to be emitted from the metal? twelve-year-old cade is able to construct complete, accurate, meaningful sentences, but struggles with taking turns in a discussion. he is having communication difficulty in the area of A) Find the slope of the line passing through the points (8, -4) and (8, 8).B) Find the slope of the line passing through the points (3, 4) and (3, 4). The approximate amount of calories, c, that a dog needs each day is represented by C=72M^3/4, with m being the dog's weight in KG. How many calories would a 64 kg dog need? (Radicals and Rational Exponents) What is the legacy of J. J. Thomson's experiment that led to the identification of the electron?Please help QuESTION 15 Which difficulty of range as measure 0f 'variability is overcome by interquartile range? a. The range is difficult to compute b. The range is influcnced t0o much by extreme values The sum of the range variances is ZEtO d. The range is negative Generally, which one of the following is the least appropriate measure of central tendency for a data set that contains outliers? a. mean b. median c. 2nd quartile d. 50th percentile there are 43 students in the university travel club. the following information and venn diagram show how many students traveled to germany, france, and spain. how many students have been to germany or france but not spain? .... had a complicated relationship with European settlers. what is the boiling pressure in a mixture? how is this boiling pressure generated for the mixture? explain with the figure. Foreshadowing quote from the book: "It was not the least unpleasant, and it reminded him - well, he wasn't quite sure what it reminded him of. Pickled walnuts? New leather? Or was it the corridors of a hospital?" Page 32 The author most likely included this quote to A 39-foot pole casts a 26-foot shadow. What percent of the poles height is the shadows length? 3(2x + 1) + 2(x + 4) Two restaurants sell meals for different prices, as shown below. Sophia wants to buy 2 meals. What is the difference between the prices she would pay at the two restaurants? Give your answer in pounds (). < Back to task Restaurant A 16.50 each Buy one meal, get another one half price Scroll down Watch video Restaurant B 16 each Buy two meals, get 15% off the cost of both Answer > what is the difference between your marginal and effective tax rates?