White light separates into all the colors of the visible spectrum when it is passed through a?

Answers

Answer 1

White light separates into all the colors of the visible spectrum when it is passed through a prism.

A prism is an optical device made from transparent material, typically glass, that refracts light and separates it into its constituent wavelengths. This separation of light into its component colors is called dispersion. White light is composed of all the colors of the visible spectrum and when it is passed through a prism, the prism refracts the light and splits it into its individual colors.

When white light passes through a prism, the light is bent, or refracted, at different angles depending on its wavelength. The different wavelengths of light correspond to different colors in the visible spectrum, so when the white light is refracted, it separates into various colors.

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Related Questions

Which term is defined as a complete path for current flow without any kind of break?

Answers

Term which is used to  define a complete path for current flow without any kind of break is closed circuit.

What is a circuit?

A circuit is the pathway of current. Circuits have two ends. A positive terminal and a negative terminal. The electrons are moving from negative terminal to the positive terminal.

The current flow in the opposite direction of electrons thus, from positive terminal to the negative terminal. There are both closed circuits and open circuits.

In an open circuits the current is zero. In a closed circuit, there is a net current flow through the circuit. The circuits can be made open or closed with the devices called switches.

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what does it mean to say that a beam of light is polarized? the beam has a magnetic field, but no electric field. the beam itself is charged, carrying either positive or negative charge. the direction of the beam's electric field alternates between two possibilities. the beam has an electric field, but no magnetic field.

Answers

Plane polarized light consists of waves that has magnetic field in which the direction of vibration is the same for all waves.

Polarization, in Physics, is defined as a phenomenon caused due to the wave nature of electromagnetic radiation.Sunlight travels through the vacuum to reach the Earth, which is an example of an electromagnetic wave. These waves are called electromagnetic waves because they form when an electric field interacts with a magnetic field.Light is the interaction of electric and magnetic fields travelling through space. The electric and magnetic vibrations of a light wave occur perpendicularly to each other. The electric field moves in one direction and the magnetic field in another ‘perpendicular to each other. So, we have one plane occupied by an electric field, another plane of the magnetic field perpendicular to it, and the direction of travel is perpendicular to both.

Plane polarized light consists of waves in which the direction of vibration is the same for all waves.The process of transforming unpolarized light into polarized light is known as polarization.

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if the earth rotated slower about its axis, your apparent weight would question 7 options: increase. be zero. stay the same. decrease.

Answers

If the earth rotated slower about its axis, your apparent weight would increase, because we would experience less centrifugal force as the Earth rotated more slowly. Since gravity would remain constant but centrifugal force would decrease, the combined force of the Earth's gravity and centrifugal force would be greater.

What is centrifugal force?

A hypothetical force called centrifugal force, which is unique to particles traveling in a circle, is a force that has the same strength and dimensions as the centripetal force, but acts in the opposite direction.

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A golf club hits a 0.04551 kg golf ball off a golf tee. The club is in contact with the ball for 0.020 s, and the force applied by the club is 115 N. What is the speed of the ball as it leaves the tee

Answers

Answer:

v = 50.5 m/s

Explanation:

F = (m)(^v/^t)

115N = (0.04551kg)(v/(0.020s))

2,526.917161 m/s² = v/(0.020s)

v = 50.53834322 m/s

v = 50.5 m/s

the kinetic energy of a falling ball changes from 20 joules to 80 joules. during this time, how much work did the force of gravity transfer to the ball?

Answers

The work done by the force of gravity transfer to the ball is 60joules.

What is kinetic energy?

Kinetic energy is the force an object possesses as a result of motion. An object must be subjected to a force in order to accelerate.

The energy of motion, or kinetic energy, can be seen in the movement of an object or subatomic particle. Kinetic energy is present in every moving object and particle. Kinetic energy is present when something moves, such as a person walking, a baseball soaring through the air, a piece of food dropping from a table, or a charged particle in an electric field.

W = KEf - KEi

W = 80-20

W = 60joules.

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9) How is a vector described? 10) What do we use vectors to describe in physics?

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9) A vector describe as a quantity that has both magnitude and direction. 10) We use vectors to describe in physics in physical quantities, including displacement, velocity, acceleration, force, momentum, and torque.

The vector is typically represented by an arrow, with the length of the arrow representing the magnitude of the vector and the direction of the arrow representing the direction of the vector. In addition to the magnitude and direction, vectors also have a starting point and an end point. Vectors can be added together to obtain a resultant vector that represents the sum of the individual vectors. Vectors can also be subtracted, multiplied by a scalar, or divided by a scalar.

For example, displacement is a vector that describes the distance and direction between two points. Velocity is a vector that describes the speed and direction of motion and acceleration is a vector that describes the rate at which velocity changes. Force is a vector that describes the push or pull on an object and momentum is a vector that describes the motion of an object and its resistance to change. Torque is a vector that describes the rotational motion of an object. So therefore vectors are an important tool for physicists because they allow them to describe physical quantities in a way that is both concise and precise.

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a ray passes from air into the surface of a lucite block at an angle with the lucite surface of 48.5°. what is the angle of refraction?

Answers

When a ray of light passes from one medium to another, it changes direction due to a change in speed. This phenomenon is known as refraction. The angle of refraction can be determined using Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the speeds of light in the two media.

In this case, the angle of incidence is 48.5 degrees. Assuming the index of refraction of air is 1, the index of refraction of lucite can be found in a table or by using a refractometer. Let's assume it is 1.5. Using Snell's law, we can calculate the angle of refraction to be approximately 32.9 degrees. Therefore, when a ray of light passes from air into the surface of a lucite block at an angle of 48.5 degrees, the angle of refraction is approximately 32.9 degrees.

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Water ______________ easier in the mountains because there is less air pressure.

1. Boils
2. Evaporates
3. Condenses
4. Sublimates

Answers

Answer: 1) Boils

The less air pushing down on the water effectively allows the water to boil easier. Think of the water molecules as a bunch of marbles bouncing around in a box with a lid. The less air pressure means the lid is easier to open from the force exerted by the bouncing marbles, allowing those particles to escape and turn into gas.

So in short, if you are in the mountains, then it'll take less time to cook food because water comes to a boil faster.

can someone write and short summary on how to hula hoop

Answers

You pick up the hula hoop and stand inside of it then pick it up will you’re inside it and hold to your waist and spin it then turn your hips

Answer:

First you take a hula hoop and hold it around your waist then you start moving your hips in a circle and let the hula  hoop go off your hands and you keep moving your hips. You keep moving your hips until you want to stop but it might fall. Just keep trying and you should get the hang of it in a few minutes.

Explanation:

When a charged capacitor is disconnected from a battery and the area of the plates is decreasing; describe what is happening to the electric field in the capacitor and explain why.

Answers

When a charged capacitor is disconnected from a battery and the area of the plates is decreasing, the electric field in the capacitor is increasing.

This can be explained by considering the relationship between the electric field, the charge on the plates, and the area of the plates.The electric field in a capacitor is given by the formula E = Q / (ε₀A), where E represents the electric field, Q is the charge on the plates, ε₀ is the permittivity of free space, and A is the area of the plates. When the capacitor is disconnected from the battery, the charge on the plates remains constant. However, as the area of the plates decreases, the denominator in the formula for the electric field (ε₀A) decreases. Since the charge remains the same, this reduction in the denominator results in an increase in the electric field E.

In simpler terms, the electric field in a capacitor is inversely proportional to the area of the plates. As the area decreases, the electric field strengthens. This occurs because the same amount of charge is now concentrated on a smaller surface area, leading to a higher electric field intensity between the plates. Therefore, when a charged capacitor is disconnected from a battery and the area of the plates is decreasing, the electric field in the capacitor increases due to the concentration of charge on a smaller surface area.

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Lee pushes horizontally with a force of 78N on a 29kg mass for 16m across a floor.
Calculate the amount of work Lee did. Answer in units of J.

Answers

If Lee pushes horizontally with a force of 78N on a 29kg mass for 16m across a floor. The amount of work Lee did is: 1,248J.

How to find the work done?

Given data:

Mass of the object , m = 29kg

Force, F = 78N

Displacement, d = 16m

Now let find the amount of work using this formula

Work = F × dcosθ

Let plug in the formula

Work = 78 × 16cosθ

Work = 1,248J

Therefore we can conclude that the work done is 1,248J.

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Please Help me with this question as soon as possible. ​

Please Help me with this question as soon as possible.

Answers

Answer:

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

How long will your trip take (în hours) if you travel 350 km at an average speed of 80 km/h

Answers

It would be 4 hours and 40 mins but if you want it to be rounded then 5 hours.

True or false: Scientific study can always be categorized as belonging to only one of the three major categories of sciences.

True false question.

Answers

It is a false statement that Scientific study can always be categorized as belonging to only one of the three major categories of sciences.

What is a scientific study?

A scientific study involves an investigation into issues that has to do a scientific topic. There are three main branches of science which are physics, chemistry and biology. However most of the research in science is interdisciplinary. It involves a synergy between the various fields of science.

Thus, it is a false statement that Scientific study can always be categorized as belonging to only one of the three major categories of sciences.

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3. Why don't solar eclipses happen every
month? sc.8.E.5.9
A
B
C
D
Earth's orbit around the Sun is at an
angle, which keeps Earth out of the
Moon's shadow.
Earth's tilt on its rotation axis keeps it
from falling into the Moon's shadow
during most months.
The Moon's orbit is irregular, and most
of the time the Moon is too far away to
cast a shadow on Earth.
The Moon's orbit is tilted compared
to Earth's orbit, so Earth is not in the
Moon's shadow most months.

Answers

Answer:

D: The Moon's orbit is tilted compared

to Earth's orbit, so Earth is not in the

Moon's shadow most months.

1. A sailboat accelerates uniformly from 3.0 m/s to 12.0 m/s at a rate of 1.5 m/s2. What distance does the boat travel?​

Answers

Answer:

45 m

Explanation:

Use the equations of motion.

We know that:

S= the unknown

U=3 m/s

V=12 m/s

A=1.5 m/s

T= we won't need it

The equation used: \(v^2=u^2+2as\)

Subsitute the values: \(12^2=3^2+2*1.5*s\\\)

Solve the equation:

\(144=9+3s\)

\(135=3s\)

\(s=45 m\)

Astronomers and physicists now believe they know what is happening to the missing neutrinos from the Sun (the neutrinos that our theories say should be emerging from the Sun, but our experiments in that underground mine could not find). These neutrinos are:

Answers

The missing neutrinos from the sun had merely tranformed into muon and tau neutrinos  escaped detection.Hardly interacting with other matter,neutrinos comes in three different types electron,muon,and tau.

Hence option (b) turning into different type of neutrino in a neutrino oscillation is correct

Disclaimer:The question given on the portal is incomplete .Here is the complete question .

Question :Astronomers and physicists now believe they know what is happening to the missing neutrinos from the Sun (the neutrinos that our theories say should be emerging from the Sun, but our experiments in that underground mine could not find). These neutrinos are:

a)not being produced by the Sun because our star's nuclear fusion period has ended

b)turning into a different type of neutrino in a neutrino oscillation

c)being converted to antimatter in the core of the Sun and being destroyed as they hit matter

d)changing course before they reach the Earth as they hit other neutrinos in space

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An 80.0 kg sprinter starts a race whe an acceleration of 1.32 m
s

s
2
. If the sprinter accelerates at that rate for 31 m, and then maintains that velocty for the remainder of the 100 m dash, what will be his tme (ins) for the race? [-11 Polnts] OSCOLPHYS2016 4.3.P.001. Mn a3.0 kg scruter starts a race with an acceleration of 2.24 m/s
2
. What is the net extemal force (in N ) on him? (Enter the magnitude.)

Answers

Net external force= 6.72 N

The initial velocity of the sprinter is zero. So, we can use the following kinematic equation to find the time taken, t, to cover the distance of 31 m.

s = ut + 1/2 at²s

= 0 + 1/2 × 1.32 m/s² × (31 m)²s

= 639.78 mt

= √(2s/a)t

= √(2 × 31 m / 1.32 m/s²)

= 5.26 s

After 31 m, the sprinter maintains his velocity for the remaining distance, i.e., 100 - 31 = 69 m. We can use the following formula to find the time taken to cover this distance as time, t = distance / velocity.

We know,

velocity = at = 1.32 m/s² × 5.26 s

= 6.96 m/st

= 69 m / 6.96 m/s

= 9.92 s

Therefore, the total time taken by the sprinter to complete the race is:

t = 5.26 s + 9.92 s

= 15.18 s

Find the net external force on the 3.0 kg sprinter, we can use the formula F = ma, where F is the force, m is the mass and a is the acceleration.

F = ma = 3.0 kg × 2.24 m/s²F = 6.72 N

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HURRY I NEED IT NOW What is the density at 20oC of 12.0 milliliters of a liquid that has a mass of 4.05 grams?

0.338 g/mL

2.96 g/mL

16.1 g/mL

48.6 g/mL

Answers

Density is the mass per unit volume of any object. It is calculated by dividing the mass of an object by its volume. This is:

ρ = m/V

ρ = 4.05 g  / 12 mL

ρ = 0.3375 g/mL

ρ ≅ 0.338 g/mL

OPTION A

What is the density of water?
gram/mL
(fill in the number)

Answers

Answer:

1.00 gram per milliliter (1 g/mL). In other words, 1 milliliter of water has a mass of 1 gram. A drop of water is 0.05 mL of water, so its mass would be 0.05 grams.

Explanation:

How do stars, like our sun, release energy? Is it fission or fusion?

Answers

Answer:

Fusion

Explanation:

Fusion is what powers the sun. Fission is the splitting of a heavy, unstable nucleus into two lighter nuclei, and fusion is the process where two light nuclei combine together releasing vast amounts of energy.

fusion ..............

help please, I will upvote.
A man is carrying a mass m on his head and walking on a flat surface with a constant velocity v. After he travels a distance d, what is the work done against gravity? (Take acceleration due to gravity

Answers

We know that the work done by a constant velocity is zero.

Therefore, the work done against gravity is zero.

Given information:

A man is carrying a mass m on his head and walking on a flat surface with a constant velocity v.

Acceleration due to gravity g.

Distance covered d.

Formula used:

                              Work done = Force × Distance

Work done against gravity = m × g × d

Let's calculate the work done against gravity as follows:

We know that the force exerted against gravity is given by:

                                          F = mg

Work done against gravity = Force × Distance

                                            = mgd

Where m = mass of object,

        g = acceleration due to gravity

        d = distance covered

Given the constant velocity v, we can use the formula:

                                          v² = u² + 2as

Where u = initial velocity which is zero in this case.

           s = d which is the distance covered.

           a = acceleration which is zero in this case.

                   

                                   v² = 2 × 0 × d = 0

We know that the work done by a constant velocity is zero.

Therefore, the work done against gravity is zero.

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BMW has introduced a program of covered scheduled maintenance for its cars. That is, when you bring in your vehicle for maintenance at a BMW dealership, BMW will cover the costs of everything (except for worn-out tires). This practice specifically targets which stage of the product life cycle?

Answers

Answer:

Usage

Explanation:

A product life cycle refers to the duration from the introduction of the product into the market until it's taken off the shelves.

A program of covered scheduled maintenance for the cars refers to the practice in which the dealership will cover the costs of everything when you bring in your vehicle for maintenance.

In this question, the mentioned practice specifically targets the stage - Usage of the product life cycle

Place the follow in increasing order of impedance, which order is correct?
A. PZT, matching layer, gel, skin
B. matching layer, gel, PZT, skin
C. PZT, gel, skin, matching layer
D. skin, gel, matching layer, PZT

Answers

The correct order of increasing impedance is:

C. PZT, gel, skin, matching layer

Impedance is a measure of the opposition to the flow of sound waves in a medium. It depends on the density and speed of sound in the material. In the given options, the order of increasing impedance can be determined by considering the properties of the materials involved.

PZT (lead zirconate titanate) has a higher impedance than gel, skin, and the matching layer. PZT is a piezoelectric material commonly used in ultrasound transducers and has a higher density and speed of sound, leading to higher impedance.

Gel has a lower impedance compared to PZT but higher impedance than skin and the matching layer. Gel is used as a coupling medium between the transducer and the skin to enhance acoustic coupling and minimize impedance mismatch.

Skin has a lower impedance than both gel and the matching layer. It is the outermost layer and acts as an interface between the transducer and the biological tissue.

The matching layer has the lowest impedance among the given options. It is designed to match the impedance of the PZT to the impedance of the tissue being imaged, facilitating efficient sound transmission.

Therefore, the correct order is C.

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A tractor drags a 313kg plow across a field at 2.0 m/s . If the coefficient of friction between the plow and the ground is 0.570, how much force does the tractor apply to the plow ?

Answers

Answer:

The tractor applies 1,748.418 N to the plow.

Explanation:

Net Force

According to the second Newton's law, the net force exerted by an external agent on an object of mass m is:

Fn=m.a

If the acceleration is zero, then the net force is also zero. That means all forces acting on the mass are balanced.

The tractor drags the m=313 Kg plow at a constant speed, thus the acceleration is zero and so is the net force.

The horizontal forces acting on the plow are:

The force applied by the tractor FtThe friction of the ground Fr

Since both forces are balanced, then:

Ft=Fr

The friction force is calculated as:

\(Fr=\mu \cdot N\)

Where \(\mu\) is the coefficient of friction between the plow and the ground and N is the normal force. In the situation described, the normal force is equal to the weight of the plow:

\(N=W=m.g=313*9.8=3,067.4\)

The normal force is N=3,067.4 N

The friction force is now calculated:

\(Fr=0.579 \cdot 3,067.4\ N\)

\(Fr=1,748.418\ N\)

Thus, the tractor applies 1,748.418 N to the plow.

what is the difference between inertial mass and gravitational mass

Answers

Inertial mass and gravitational mass are two different types of mass. The main difference between the two is that inertial mass is the property of an object that determines how much force is required to accelerate it, while gravitational mass is the property of an object that determines the strength of its gravitational attraction to other objects.

Inertial mass is the measure of an object's resistance to changes in its motion. It is the property of an object that determines how much force is required to accelerate it. It is defined as the ratio of the force required to produce an acceleration in an object to the acceleration produced.

Gravitational mass is the property of an object that determines the strength of its gravitational attraction to other objects. It is the property that causes two objects to be attracted to each other. Gravitational mass is the mass that appears in Newton's law of universal gravitation, which states that the force of gravity between two objects is proportional to the product of their gravitational masses and inversely proportional to the square of the distance between them.

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\in byzantine mosaics some of the tiles were placed at an angle to reflect the light. true false

Answers

True, some of the tiles in Byzantine mosaics were placed at an angle to reflect the light. This was done to enhance the visual appearance and create a dazzling effect.

Byzantine mosaics were used to decorate and embellish the walls, floors, and ceilings of buildings such as churches, palaces, and public places. They were made of small, colored, and shiny tiles called tesserae, which were arranged in various patterns to create intricate and sophisticated designs. One of the notable features of Byzantine mosaics was the use of tesserae at different angles to reflect the light and create a mesmerizing effect. The artists who created the mosaics were highly skilled and trained, and they knew how to use the properties of light to enhance their art. By placing the tiles at an angle, they could make the light bounce off the surface and produce a sparkling and radiant effect. The use of angles also allowed the artists to create depth, texture, and movement in their designs, which made them more dynamic and engaging. The Byzantine mosaics are still admired and revered for their beauty and craftsmanship, and they continue to inspire and influence artists and designers to this day.

In summary, some of the tiles in Byzantine mosaics were placed at an angle to reflect the light and create a dazzling effect. This technique was used by the artists to enhance the visual appearance and create depth, texture, and movement in their designs. The use of tesserae at different angles is one of the defining characteristics of Byzantine mosaics, and it reflects the skill and creativity of the artists who made them.

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If a 0. 5 kg mass is hanging on the end of a piece of fishing line, what are the frequency of the waves when the line is plucked

Answers

The frequency of the waves when a 0.5 kg mass is hanging on the end of a piece of fishing line is determined by the tension and length of the line.

The frequency of the waves on a piece of fishing line can be determined using the formula f = (1/2L)√(T/μ), where f is the frequency in hertz, L is the length of the line, T is the tension in newtons, and μ is the linear mass density of the line in kg/m.

In this case, the mass of the hanging object is 0.5 kg, so the tension of the line will be affected by the weight of the object as well as any other forces acting on it.

Assuming the line is under tension and the mass is held steady, the length of the line will determine the frequency of the waves. A shorter line will have a higher frequency, while a longer line will have a lower frequency.

Additionally, the tension of the line will affect the frequency - a higher tension will result in a higher frequency, while a lower tension will result in a lower frequency.

Therefore, the frequency of the waves when a 0.5 kg mass is hanging on the end of a piece of fishing line will depend on the tension and length of the line.

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please help me!!!
Free Brainliest​

please help me!!!Free Brainliest

Answers

Answer:

When a car stops suddenly, we fall forwards. This is because the upper part of our body tends to continue to be in motion due to inertia. Newton's first law of motion, sometimes referred to as the law of inertia, states that an object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force. When the car stops slowly, its force is lesser than when the car stops harshly. This act of unbalanced force makes the mangoes fly forward.

Explanation:

I hope this helps!

What is the velocity of a beam of electrons that goes undeflected when moving perpendicular to an electric and magnetic fields. E--> and B--> are also perpendicular to each other and have magnitudes 7.7 * 10^3V/m and 7.5*10^-3T , respectively. What is the radius of the electron orbit if the electric field is turned off

Answers

5.4 * 10^(-5) m

If the beam of electrons goes undetected, the force on the electron due to the electric force must be the

same magnitude as the force on the electron due to the magnetic force. Therefore, qE = qvB, and solving

for v  that

v =E/B

v = 7900 V/m/(9.1* 10^?3) T

= 86831 m/s.

If the electric ?eld is turned o?, the magnetic force will cause the electron to undergo uniform circular

motion, so qvB = mv2/r. Solving for r we ?nd that

r =mv/qB

=> r = (9.11 * 10^(-31) *86831 )/(1.6*10^(-19) * 9.1*10^(-3)) = 5.4 * 10^(-5) m

What is Force?

The original form of Newton's alternate law states that the net force acting upon an object is equal to the rate at which its instigation changes withtime.However, this law implies that the acceleration of an object is directly commensurable to the net force acting on the object, is in the direction of the net force, If the mass of the object is constant.

generalities related to force include thrust, which increases the haste of an object; drag, which decreases the haste of an object; and necklace, which produces changes in rotational speed of an object. In an extended body, each part generally applies forces on the conterminous corridor; the distribution of similar forces through the body is the internal mechanical stress. similar internal mechanical stresses beget no acceleration of that body as the forces balance one another. Pressure, the distribution of numerous small forces applied over an area of a body, is a simple type of stress that if unstable can beget the body to accelerate. Stress generally causes distortion of solid accoutrements , or flow in fluids.

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QuestionThe author of Passage 2 suggests that environmental scientistscompromise their credibility when theydisguise their personal opinions as scientific consensusOgather the opinions of their fellow scientistsOmake public announcementsO withhold information about environmental problems A dairy needs 336 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk containing 3% butterfat must be used to obtain the desired 336 gallons? circle the number that are divisible by both 5 and 2 (25,40,55,70,80,95) Choose the correct word or phrase:Please choose a letter for both questions: The process in reproduction and growth by which a cell divides to form daughter cellsA. biotechnologyB. diversityC.cell divisionD.fertilization During the Gilded Age, how did the US Congress act to regulate business practices? Charged ions are traveling through a cell membrane with the concentration gradient. Which process is represented here?. what is crispr? group of answer choices sequences derived from viral rna fragments a gene-editing tool a fungal defense mechanism all of the answers are correct 1. The federal government is considering some fiscal policy alternatives. Will its choice between the following pairs of policy changes influence the level of aggregate demand, and if so how? a) An increase in taxes of 100 versus a reduction in transfer payments of 100. b) An increase in highway construction of 100 versus an increase in Social Security benefits of 100. c) A reduction in military procurement of 100 versus a reduction in scientific research of 100. d) A reduction in mass transit programs of 100 versus a tax increase of 100. 2. Consider an economy in which the marginal propensity to consume is two-thirds, prices are constant, the multiplier is three, G is initially 1,000, taxes are autonomous (not related to income) and are initially 1,300, transfer payments are initially 300, and GDP is initially 7,000. a) The government wishes to increase GDP to 7,300, and it is considering changing government purchases, or taxes, or transfer payments. What new levels of these fiscal policy tools would be needed? In each case, what would the new government surplus or deficit be? b) Suppose instead that the government wished to reduce GDP to 6,400 and, again, it was considering using only one of its three available fiscal policy tools. What level of these tools would be needed? In each case, what would the government surplus or deficit be? c) Suppose instead that the government wished to raise GDP to 7,100, but it was unwilling to run a surplus or deficit. Therefore the change in government purchases would have to be matched by an equal change in taxes. What change in government purchases and taxes would be needed?3. The Sixteenth Amendment to the U.S. Constitution, adopted in 1913, permitted an American income tax for the first time. In view of this, explain why the multiplier was either higher or lower in the 19th century than it is today.4. Assume that people do not change the amount of currency they wish to have in circulation. When a bank finds itself with excess reserves, it lends the excess; the borrower generally uses the funds to pay a third party, who in turn deposits the funds in a different bank. In each of the following cases, use balance sheets to trace the process of money creation (or contraction) through three banks, showing the change in the money supply at each stage.a) Paul Prospector discovers a million dollars worth of gold, and deposits it in his bank. The required reserve ratio is 20 percent. (Hint: Use Accounting Ledger) 5. How much money in the form of bank deposits will $100 million in reserves support, if the reserve ratio is 10 percent, 20 percent, 25 percent, 33.3 percent, 50 percent, 100 percent? Define the following terms as used in ecosystem:. Community.. Population. Food chain. Food web. EASY BRAINLIEST PLEASE HELP!!-if you answer correctly ill give you brainliest which will give you 100pts-(if you put links or don't answer accordingly im reporting your account) 4. Thomas Jefferson was considered a "Renaissance Man" who designed hisown home atVirginia. In problems 1-3, use properties of exponents to determine which functions (if any) are the same. Show work to justify your answer. This is not a calculator activity. You must explain or justify algebraically.1. f(x) = 3x-2 2. g(x) = 3* - 9. h(x) = *2. f(x) = 4x + 12. g(x) = 2*. h(x) = 64(4*)3. f(x) = 5x + 3. g(x) = 5*. h(x) = -5* Insider trading happens when:A. Financial analysts buy stocks themselvesB. Several members of the same family buy the same stocksC. Funds rather than individual investors buy financial securities D. Investors get access to non-public information and trade on the information on a certain sum of moneylent out at 20 %per annum for 1 and a half year the compound interest reconked yearly and and recokned yearly half is 178.75 . find the sum PLEASEE HELP! I WILL MARK BRAINLIEST! Read this sentence from roosevelt's speech "the new nationalism". "it demands of the judiciary that it shall be interested primarily in human welfare rather than in property, just as it demands that the representative body shall represent all the people rather than any one class or section of the people." which illustration would best represent the main idea expressed in the quotation? Check the conditioning of the initial value problems in Problem 1. Use the test (1.20). In each of the following cases, show that the given function y(t) satisfies the associated differential equation. Then determine the value of c required by the initial condition. Finally, with reference to the general format in (1.7), identify f(t, 2) for each differential equation. (a) Y'(t) = -Y(t) + sin(t) + cos(t). Y(0) = 1; Y(t) = sin(t) + ce-t Some one give me some good facts about gluten free cuisine. Please and thank you Problem 29IntroYou took out some student loans in college and now owe $14,000. You consolidated the loans into one amortizing loan, which has an annual interest rate of 4% (APR).Part 1Attempt 1/3 for 10 pts.If you make monthly payments of $200, how many months will it take to pay off the loan? Fractional values are acceptable.1+ decimalsSubmit Problem 30IntroConsider a loan for $18,685 that is paid off in 15 yearly payments of $2,000.Part 1Attempt 1/3 for 10 pts.What is the interest rate?4+ decimalsSubmit Problem 31IntroYou took out a mortgage for $500,000. You need to pay $4,550 every month for 15 years.Part 1Attempt 1/3 for 10 pts.What is the monthly interest rate?5+ decimalsSubmit Problem 32IntroBankMart Inc. recently issued bonds that mature in 12 years. They have a par value of $1,000 and an annual coupon of 2%. Your required rate of return is 7%.Hint:This bond pays a fixed amount of coupon at the end of each period and pays the par value when it matures.annual coupon payment = par value* annual coupon ratePart 1Attempt 1/3 for 10 pts.What is the maximum price you want to pay for the bond?p+ decimalsSubmit