Two particles A and B start simultaneously from a Point P with velocities 20 m/s and 30 m/s respectively. A and B move with acceleration equal in magnitude but opposite in direction. When A overtakes B at Q, its velocity is 30 m/s. The velocity of B at Q :

Answers

Answer 1

Answer:

20 m/s

Explanation:

Given

u(A) = 20 m/su(B) = 30 m/sacceleration equal in magnitude but opposite in direction

Solving

Velocity of A at Q = 30 m/sFrom, P to Q, Δv(A) = 30 - 20 = +10 m/sTherefore, velocity of B at Q will be decreased by 10 as it is equal in magnitude but opposite in direction to AΔv(B) = v(B at Q) - u(B at P)-10 m/s = v(B at Q) - 30 m/sv(B at Q) = 30 - 10 = 20 m/s

Related Questions

PLS ANSWERRR What are the main differences between the carbon flows 300 years ago and today?

Answers

The main differences between the carbon flow 300 years ago and today are the amount of carbon dioxide released into the atmosphere and the sources of those emissions.
300 years ago, the majority of carbon emissions came from natural sources, such as volcanic eruptions and forest fires. However, today, the majority of carbon emissions come from human activities, such as burning fossil fuels for energy and deforestation for agriculture and urbanization. Additionally, the amount of carbon dioxide released into the atmosphere has greatly increased in the past 300 years due to the industrialization of society and the increase in the human population. This has led to an increase in greenhouse gases in the atmosphere and has contributed to climate change.
In summary, the main differences between the carbon flow 300 years ago and today are the sources of emissions and the amount of carbon dioxide released into the atmosphere.

You can learn more about carbon flow at: brainly.com/question/14317856

#SPJ11

how many meters does it take to make one mile ​

Answers

Answer:

1610 meters

Explanation:

Answer:

1609.344 Meters

Explanation:

There is no explanation

On the planet Zarflax-beta-9z a book with a mass of 3kg weighs 51N. What is the strength of gravity on Zarflax-beta-9z?

Answers

The strength of gravity on Zarflax-beta-9z is 17 N/kg.

We can use the formula:

weight = mass x gravity

to determine the strength of gravity on Zarflax-beta-9z.

We know that the mass of the book is 3 kg and its weight is 51 N. So, we can rearrange the formula to solve for gravity:

gravity = weight / mass

gravity = 51 N / 3 kg

gravity = 17 N/kg

To know more about gravity, here

brainly.com/question/14874038

#SPJ4

natural energy sources, such as wind and moving water, have been used to mill grain.

Answers

Natural energy sources have been harnessed by humans for centuries, and one of the earliest uses of these energy sources was for milling grain.

Wind and moving water, specifically, have been used to power grain mills throughout history. Windmills were commonly used in areas with strong and consistent winds, such as the Netherlands and the American Midwest, to grind grains into flour. Watermills, on the other hand, used moving water, typically from a nearby river or stream, to power their machinery. This allowed for consistent and reliable power, which was essential for producing high-quality flour.

While modern technology has largely replaced traditional milling methods, there has been a resurgence of interest in using natural energy sources for grain milling. This is partly due to concerns about the environmental impact of fossil fuels and the desire for more sustainable energy sources. Today, small-scale wind and water turbines can be used to power grain mills in rural communities, helping to support local food systems and reduce reliance on non-renewable energy sources.

To know more about Natural energy click here:

https://brainly.com/question/11463657

#SPJ11

describe three different methods for the detection of exoplanets. for each method, explain what type of exoplanet is the method most sensitive for detecting? i.e. large vs. small, close-in vs. far-out from its host star, cold vs. hot, massive vs. low-mass. please answer each method together with the explanation in one paragraph.

Answers

Three different methods for the detection of exoplanets are transit method, radial velocity method, and direct imaging. and type of exoplanet is the method most sensitive for detecting is close-in vs. far-out from its host star.

The transit method involves observing a star's brightness and looking for periodic dips in brightness as an exoplanet passes in front of it. This method is most sensitive to detecting large exoplanets that are relatively close to their host stars. The size of the exoplanet can be determined by the amount of dimming, and its orbital period can be determined from the time between dips.

The radial velocity method involves measuring the small wobbles in a star's motion caused by the gravitational pull of an orbiting exoplanet. This method is most sensitive to detecting massive exoplanets that are relatively close to their host stars. The mass of the exoplanet can be determined from the amount of wobble, and its orbital period can be determined from the time between wobbles.

The direct imaging method involves using telescopes to take pictures of exoplanets directly. This method is most sensitive to detecting large, young exoplanets that are far away from their host stars. The brightness of the exoplanet can be used to determine its temperature, and its distance from its host star can be estimated from its location in the image.

To know more about velocity here

https://brainly.com/question/16618732

#SPJ4

which best esplains how the body maintains homeostasis​

Answers

Explanation:

Through the various systems in the body for example the excretory system helps maintain homeostasis by filtering waste from blood, gets rid of waste and regulates fluid levels in the body.The respiratory system helps by giving the blood stream the oxygen it needs..

I hope this helps

The answer is the first option "all systems work together to stabilize the body." Homeostasis is the internal conditions that all living things have basically meaning how the body keeps cool during hot weather, or warm during cold weather.

savvas realize hot on the inside

Answers

Answer:

Thats sounds like a club

Explanation:

Answer:

??

Explanation:

An electric field of 4.0 muV/m is induced at a point 2.0 cm from the axis of a long solenoid (radius = 3.0 cm, 800 turns/m). At what rate is the current in the solenoid changing at this instant?
The answer should be 0.40 A/s

Answers

The rate at which the current in the solenoid is changing at this instant is 4.4 A/s.

To determine the rate at which the current in the solenoid is changing, we can use Faraday's law of electromagnetic induction. According to Faraday's law, the induced electromotive force (emf) is equal to the negative rate of change of magnetic flux through a circuit. In this case, the solenoid acts as a circuit.

The induced electromotive force (emf) is given by:

emf = -dΦ/dt

Where:

emf is the induced electromotive force,

dΦ/dt is the rate of change of magnetic flux.

For a long solenoid, the magnetic flux (Φ) can be calculated as:

Φ = B * A

Where:

B is the magnetic field strength,

A is the area of the solenoid.

The magnetic field strength inside a solenoid is given by:

B = μ₀ * n * I

Where:

μ₀ is the permeability of free space (4π × 10^-7 T·m/A),

n is the number of turns per unit length (turns/m),

I is the current flowing through the solenoid.

Let's calculate the magnetic field strength (B) inside the solenoid:

B = μ₀ × n × I

 = (4π × 10^-7 T·m/A) × (800 turns/m) × I

 = (3.1831 × 10^-4) × I T

The area (A) of the solenoid can be calculated using the formula for the area of a circle:

A = π × r^2

Where:

r is the radius of the solenoid.

Let's calculate the area (A) of the solenoid:

A = π × r^2

 = π × (0.03 m)^2

 = 0.002827 m^2

Now, substitute the values of B and A into the formula for magnetic flux:

Φ = B × A

  = (3.1831 × 10^-4) × I T × 0.002827 m^2

  = 9.0 × 10^-7 × I Wb

Next, we differentiate the magnetic flux (Φ) with respect to time (t) to find the rate of change of magnetic flux:

dΦ/dt = d/dt (9.0 × 10^-7 × I)

       = 9.0 × 10^-7 × dI/dt Wb/s

Finally, we can equate the rate of change of magnetic flux (dΦ/dt) to the induced electromotive force (emf) given in the problem statement:

emf = -dΦ/dt

    = -9.0 × 10^-7 × dI/dt Wb/s

Given that the induced electromotive force (emf) is 4.0 μV/m = 4.0 × 10^-6 V/m, we can solve for the rate of change of current (dI/dt):

4.0 × 10^-6 V/m = -9.0 × 10^-7 × dI/dt

\(\frac{dI}{dt} = \frac{-(4.0) (10^-6 V/m)}{(9.0) (10^-7)} = -4.4 A/s\)

Therefore, the rate at which the current in the solenoid is changing at this instant is 4.4 A/s.

For more questions on solenoid

https://brainly.com/question/25562052

#SPJ11

What is a gravitational field, and how does it apply to Earth? what is its formula​. and what is an example of how you can use it?

Answers

Answer:

Explanation:

a gravitational field is the region of space surrounding a body in which another body experiences a force of gravitational attraction.

The formula is: weight/mass = gravitational field strength. On Earth the gravitational field strength is 10 N/kg.

an example of how you can use it if you need to find the gravitational force from earth.

If you were to examine the profile of a typical river, you would probably find the fastest flowing water closer to the __.

Answers

If you were to examine the profile of a typical river, you would probably find the fastest flowing water closer to the center or thalweg the deepest part of the channel.

This is because the water flowing along the center of the channel experiences the least amount of friction with the river bed and banks, allowing it to flow more rapidly compared to the water near the edges of the channel which experiences more friction.Experience refers to the accumulation of knowledge, skills, and understanding that an individual gains through their interactions with the world around them. It includes both conscious and unconscious perceptions of sensory information, as well as emotional, cognitive, and social responses to those perceptions.Experience can be divided into two main types: subjective experience and objective experience. Subjective experience refers to the individual's personal interpretation of events and their emotional and cognitive reactions to those events.

To know more about experiences visit :

https://brainly.com/question/30055326

#SPJ11

Calculate the acceleration of a turtle going from 0.3 m/s to 0.7 m/s in 30 seconds.

Answers

Acceleration = velocity/ time
Acceleration = 0.7-0.3 /30= 0.01 m/s^2
Notice that velocity is calculated the final speed minus the initial !

Microwaves travel at the speed of light, 300,000 km/s. What is the wavelength of a microwave received at 1000 gigahertz?

Answers

Answer:

3 x 10⁻⁴m

Explanation:

Given parameters:

Speed of light  = 300000km/s

Frequency  = 1000gigahz  = 1000 x 10⁹Hz

Unknown:

Wavelength = ?

Solution:

To solve this problem, we use the expression below:

    V  = F ∧  

V is the speed

F is the frequency

∧ is the wavelength

      300000 = 1000 x 10⁹ x   ∧  

Wavelength  = 3 x 10⁻⁷km = 3 x 10⁻⁴m

cerebrum what is the meaning

Answers

Answer:

Plural cerebrums cerebra The largest part of the vertebrate brain, filling most of the skull and consisting of two cerebral hemispheres divided by a deep groove and joined by the corpus callosum, a transverse band of nerve fibers. The cerebrum processes complex sensory information and controls voluntary muscle activity.

Explanation:

The cerebrum is the uppermost part of the brain. It contains two hemispheres split by a central fissure. The cerebrum itself contains the major lobes of the brain and is responsible for receiving and giving meaning to information from the sense organs, as well as controlling the body.

Which has more energy, light with a wavelength of 580 nm or light with a wavelength of 660 nm?
a. 580 nm
b. 660 nm

Answers

Light with a 660 nm wavelength has more energy than light with a 580 nm wavelength.

Which type of light—light with a wavelength of 660 nm or one of 580 nm—has more energy?Light with a 660 nm wavelength has more energy than light with a 580 nm wavelength. This is due to the fact that the relationship between light energy and wavelength is inverse.In other words, a light's energy content increases with its shorter wavelength. The energy of the light diminishes with an increase in wavelength. As a result, light with a 660 nm wavelength has a shorter wavelength and more energy than light with a 580 nm wavelength.This is as a result of the shorter wavelength of the 660 nm light's greater ability than the longer wavelength of the 580 nm light to permeate into the substance.Because the 660 nm light has a greater frequency and more energy than the 580 nm light, it is able to transfer more energy to the substance. This explains why light with a 660 nm wavelength has more energy than light with a 580 nm wavelength.

To learn more about the Planck-Einstein relationship refer to:

https://brainly.com/question/2058557

#SPJ4

Question 2 of 32
What did Ernest Rutherford's experiment of a beam of alpha particles aimed
at a sheet of gold foil lead him to conclude?

Answers

Sthbtbetbtwbetbetbtwsbt

how does the frequency of a radio wave compare to the frequency of the vibrating electrons that produce it?

Answers

Answer:

mass

Explanation:

A
is the order in which things are arranged.
O plan
sequence
O process
O goal

Ais the order in which things are arranged.O plansequenceO processO goal

Answers

A sequence is the order in which things are arranged.

Answer:

sequence

Explanation:

sequences are the way in which things are ordered, for example: 1, 2, 3, 4 is a sequence:)

When a liquid is cooled, the kinetic energy of the particles
. The force of attraction between the particles
, the space between the particles

Answers

When a liquid is cooled, the kinetic energy of the particles decreases. The force of attraction between the particles increases, the force of attraction between the particles increases and the matter changes its state to solid.

When a liquid is cooled, the kinetic energy of the particles decreases .

What is kinetic energy?

Kinetic energy can simply be defined as the energy a body possessed due to its relative motion.

So therefore, when a liquid is cooled, the kinetic energy of the particles decreases. The force of attraction between the particles increases, the space between the particles remains the same and the matter changes its state to solid..

Learn more about kinetic energy:

https://brainly.com/question/8101588

#SPJ1

The symbol equation for combustion of a hydrocarbon is shown below. What number will go before the oxygen reactant when this equation is balanced?

The symbol equation for combustion of a hydrocarbon is shown below. What number will go before the oxygen

Answers

Answer:

5 Oxygen , 3 Carbon dioxide and 3 water

The symbol equation for combustion of a hydrocarbon is shown below. What number will go before the oxygen

Answer: the answer is 5

The wall of the bulb of a thermometer is made thin why?​

Answers

The wall of the bulb of a thermometer is made thin beause allow the heat from sample being measured to reach the liquid quickly for fast response and quick reading (improves the quickness of response by the thermometer). ... — has a vacuum above the liquid column so there is no resistance to the expanding liquid.

In a game of Tug-of-War,
when are the forces
unbalanced?
A. when one side lets go of the rope
B. when the net force is o N
C. when both sides pull with 55 N

Answers

Eventually one of the teams will became tired and its pull will be smaller than that of the other team. When the force acting on the robe are unbalanced the rope will start to move in the direction of the great force.

m=mc2 what does it mean?​

Answers

Answer:

this is e=mc2

Explanation:

It means that energy and mass are the same

A heart beats 10 times in 10 seconds.
How many times does it beat in 1 minute?

Answers

The heart will beat 60 times in 1 minute.

Answer:

60

Explanation:

60secs = 1 minute

if you want to show you work further then

10 divided by 10 = 1

so each second is 1 heart beat

so then just 60 divided by 10 equals 6

so then just do 6 times 10 equals 60 beats

High angular momentum leads to faster rotation. why does faster rotation tend to lead to a spiral galaxy, rather than an elliptical galaxy?

Answers

High angular momentum leads to faster rotation, because faster rotation leads to collisions among particles that cause the gas to settle into a spiral disk, rather than a more spread out cloud.

What is the difference between an elliptical galaxy and a spiral galaxy?

Elliptical galaxies are ellipsoids with no clearly visible internal structure. Spiral galaxies have a very dense nucleus and a region of stars bulging outwards from the disks and, therefore, called the central bulge. Elliptical galaxies also have dense centers, but they do not protrude from the body of the galaxy.

Galaxies rotate, or spin around a central axis, and because of something called density waves, helps galaxies to become spiral in shape.

To learn more about Spiral galaxy here

brainly.com/question/27697600

#SPJ4

The data table shows how the amplitude of a mechanical wave varies with the energy it carries. Analyze the data to identify the mathematical relationship between amplitude and energy. Use your equation to find the energy if the amplitude is 6 units. Amplitude Energy 1 unit 2 units 2 units 8 units 3 units 18 units 4 units 32 units A. 66 units B. 60 units C. 72 units D. 74 units​

Answers

The energy of a wave is directly proportional to the square of the amplitude of the wave.

What is the relationship between energy and amplitude?

There is direct relationship between energy of the wave and the amplitude of the wave. The energy transported by a wave is directly proportional to the square of the amplitude of the wave. This means if energy is increase the amplitude of wave becomes double and vice versa.

Energy = (amplitude)2

So we can conclude that the energy of a wave is directly proportional to the square of the amplitude of the wave.

Learn more about energy here: https://brainly.com/question/13881533

#SPJ1

\(Energy = (amplitude)^{2}\)

What is energy and amplitude?

Energy is define as the capacity for doing work.

Amplitude is the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position.

So , the relationship between energy of the wave and the amplitude of the wave is described as the energy transported by a wave is directly proportional to the square of the amplitude of the wave.

Here , If energy is increase the amplitude of wave becomes double.

\(Energy = (amplitude)^{2}\)

Hence , the energy of a wave is directly proportional to the square of the amplitude of the wave.

By using the above equation if the amplitude is 6 Units then :

Energy = \((6)^{2}\) = 36 units

learn more about amplitude :

https://brainly.com/question/8662436

#SPJ1

A car is traveling at 15kph and speeds up to 30kph in 5 seconds. What is its acceleration? Converted to m/s 2

Answers

Answer:

a=0.84m/s²

Explanation:

a=v-u/t

where a=acelleration of the car,u=initial velocity,v=final velocity, t=time taken

a=?,u=15km/h,v=30km/h,t=5s

velocity is in m/s and we were given in km/h so we convert

or we say

v-u=30-15=15km/h

(v-u)=15×1000/3600=4.2m/s

a=v-u/t

a=4.2/5

a=0.84m/s²

How long will a bus take to travel 150 km at an average speed of 40 km h?

Answers

225 mins long will a bus take to travel 150 km at an average speed of 40 km h

Since the average speed is 40km/h it means

40 km can be travelled by it in 1 hour

1 km can be travelled by it in 1/40 hour

So 150km can be travelled by it in 150/40 hours or 225 mins.

By formula time=distance/speed=150/40=3.75hours

Speed = Distance/Time – This tells us how slow or fast an object moves. It describes the distance travelled divided by the time taken to cover the distance. Time = Distance / Speed, as the speed increases the time taken will decrease and vice versa.

To know more about average speed click here

https://brainly.com/question/4931057

#SPJ4

013
A car of mass 1,000 kg begins stationary on a road at the top of a
mountain, at a height h = 3,000 m. The car then rolls freely down a
winding road, travelling a total distance of 5 km, to reach the height h
= 2,000 m. Assume g = 9.8 ms 2.
1
How much energy did the car lose on descent? Give you answer to 3 significant figures,
with units.
Energy lost =

Answers

The energy lost by the car on descent is 980×10⁴ J

We'll begin by calculating the energy of car at various heights.

At height 3000 m:

Mass (m) = 1000 Kg

Acceleration due to gravity (g) = 9.8 m/s²

Height (h) = 3000 m

Energy (E) =?

E = mgh

E = 1000 × 9.8 × 3000

E = 29400000 J

At height 2000 m:

Mass (m) = 1000 Kg

Acceleration due to gravity (g) = 9.8 m/s²

Height (h) = 2000 m

Energy (E) =?

E = mgh

E = 1000 × 9.8 × 2000

E = 19600000 J

Finally, we shall determine the the energy lost

Energy at 3000 m = 29400000 J

Energy at 2000 m = 19600000 J

Energy lost =?

Energy lost = Energy at 3000 m – Energy at 2000 m

Energy lost = 29400000 – 19600000

Energy lost = 980×10⁴ J

Learn more on potential energy: https://brainly.com/question/8664733

does heavy force work under conditions of weightlessness in such an artificial earth satellite?

Answers

Answer: That is to say, a satellite is an object upon which the only force is gravity. Once launched into orbit, the only force governing the motion of a satellite is the force of gravity. Newton was the first to theorize that a projectile launched with sufficient speed would actually orbit the earth.

Explanation: Because Earth-orbiting objects follow elliptical paths around Earth and not a straight line, forces cannot, by definition, be balanced. Force is directional. It is a push or a pull in a particular direction.

HELP ASAP

2. What is the force between masses C and E?

3. What is the force between masses A and B?

4. What is the force between masses A and C?

5. What is the force between masses D and F?

6. What is the force between masses B and E?

11. What is the force between masses C and D?

12. What is the force between masses C and F?

HELP ASAP 2. What is the force between masses C and E?3. What is the force between masses A and B?4.

Answers

(2) The force between masses C and E is 75 N.

(3) The force between masses A and B is 400 N.

(4) The force between masses A and C is 300 N.

(5) The force between masses D and F is 25 N.

(6) The force between masses B and E is 11.1 N.

(7) The force between masses C and D is 150 N.

(8) The force between masses C and F is 66.7 N.

What is Newton's law of universal gravitation?

Newton's law of universal gravitation is states that every object in the universe attracts every other object with a force that is directly proportional to the product of their masses and inversely proportion to the square of the distance between them.

F = Gm₁m₂/r₂

where;

G is universal gravitation constantm₁ is the mass of the first objectm₂ is the mass of the second objectr is the distance between the objects

Force between masses C and E

From the table, find the force at the intersection of C and E

F(C, E) = 75 N

Force between masses A and B

From the table, find the force at the intersection of A and B

F(A, B) = 400 N

Force between masses A and C

From the table, find the force at the intersection of A and C

F(A, C) = 300 N

Force between masses D and F

From the table, find the force at the intersection of D and F

F(D, F) = 25 N

Force between masses B and E

From the table, find the force at the intersection of B and E

F(B, E) = 11.1 N

Force between masses C and D

From the table, find the force at the intersection of C and D

F(C, D) = 150 N

Force between masses C and F

From the table, find the force at the intersection of C and F

F(C, F) = 66.7 N

Learn more about Newton's law of universal gravitation here: https://brainly.com/question/9373839

#SPJ1

Other Questions
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAPHELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP journal entryBlanton Plastics, a household plastic product manufacturer, borrowed $15 million cash on October 1, 2021, to provide working capital for year-end production. Blanton issued a four-month, 8% promissory It cost jose $8.70 to send 87 text messages. How much would it cost to send 10 text messages? what is the thin layer of connective tissue that must be removed when preparing a lamb loin for roasting? Mark was arrested for a crime. evidence against him has been presented to the grand jury and he was indicted. judge has informed mark of the charges against him. According to the eighth amendment what should happen next which two east asian countries have wet climates year-round because of their proximity to the sea Which expression are equivalent to the expression X minus Y times 58-14 X plus Y You are conducting research on the effects of television on trustworthiness, and you ask participants to fill out a questionnaire. Before leaving, you notice that a participant has left some of the questions blank. What is the correct ethical response?a.Since the participant filled out the consent form, they should complete the remaining questions. b.You should explain why completing the questionnaire is important to the data analysis. c.The participant is free to leave. d.You should ask why certain questions were left blank. How did Homer Plessy get caught? Answer the question below in 1-2 paragraphs. Use specific examples, terms, events, and people! You have now had the opportunity to read and study two different versions of a flood myth from Middle Eastern cultures. First, the story of the flood was found in Gilgamesh, and now the Genesis account of Noah building the arc. There are incredible similarities between these flood stories and others found in cultures all over the world (Greece, China, North America, etc). These sorts of stories that occur across cultures lead to an interesting debate among historians. Does the fact that so many cultures tell similar stories mean that the event actually happened? Or does it just mean that this story is so old it predates humans spreading all over the world? What do you think the similarities between the two stories mean? Why do you think that? How should historians, archeologists, and other scholars treat these myths and legends? Why? Find the value of x.10135- In the circular flow diagram, firms ________ labor and households ________ goods and services.a. demand; demandb. supply; supplyc. demand; supplyd. supply; demandAn open-market sale of securities by the Fed results in ________ in reserves and ________ in the supply of money.a. an increase; an increaseb. a decrease; an increasec. an increase; a decreased. a decrease; a decrease Wayne Co. had a decrease in deferred tax liability of $25 million, a decrease in deferred tax assets of $15 million, and an increase in tax payable of $105 million. The company is subject to a tax rate of 25%. The total income tax expense for the year was: Refer to Explorations in Literature for a complete version of this speech.Which text from Reagans speech, Remarks on East-West Relations at Brandenburg Gate in West Berlin, is an example of fallacious reasoning?a) "The Western alliance responded by committing itself to a counter-deployment, unless the Soviets agreed to negotiate a better solution; namely, the elimination of such weapons on both sides."b) "that just as truth can flourish only when the journalist is given freedom of speech, so prosperity can come about only when the farmer and businessman enjoy economic freedom."c) "Are these the beginnings of profound changes in the Soviet state? Or are they token gestures intended to raise false hopes in the West, or to strengthen the Soviet system without changing it?"d) "Are these the beginnings of profound changes in the Soviet state? Or are they token gestures intended to raise false hopes in the West, or to strengthen the Soviet system without changing it?" scarlett company has a direct materials standard of 3 gallons of input at a cost of $8 per gallon. during july, scarlett company purchased and used 7,560 gallons. the direct materials quantity variance was $240 unfavorable and the direct materials price variance was $3,780 favorable. what price per gallon was paid for the purchases? trade credit is extended by businesses to consumers making large purchases true false T/F Hildegard von Bingen was one of the most famous composers of the Medieval Era. She was the first documented woman composer. She was a nun who composed sacred music only for women. Explain why Angels are important in Islam Point, evidence, explain(Need done asap, Ill give max points!) When two births are randomly selected, the sample space for genders is bb, bg, gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion is an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is one half , the probability of having a girl is one half , and this is not affected by how many boys or girls have previously been born. Determine the probabilities of each sample proportion. Sample proportion of girls Probability nothing 0. 5 0. 75 0. 25 nothing 0. 75 0. 5 1 nothing (Type integers or simplified fractions. ) Does the mean of the sample proportions equal the proportion of girls in two births? A. Yes, both the mean of the sample proportions and the population proportion are one third. B. Yes, both the mean of the sample proportions and the population proportion are one fourth. C. No, the mean of the sample proportions and the population proportion are not equal. D. Yes, both the mean of the sample proportions and the population proportion are one half I need help with this