The maximum range of projectle is R° if projected at angle of 45°. It'll be 300% of Range of projectile if projected at angle? a) 30° b) 45° c) 60° d) 76° Correct answer with good explanation

Answers

Answer 1

Answer:

The maximum range is 300% of the range of the projectile is projected at an angle of 9.74°.

None of the options are correct.

Explanation:

Normally, ignoring air resistance, for projectile motion, the range (horizontal distance travelled) of the motion is given as

R = (u² sin 2θ)/g

where

u = initial velocity of the projectile

θ = angle above the horizontal at which the projectile was launched

g = acceleration due to gravity = 9.8 m/s²

The range is maximum when θ = 45°

R when θ = 45° is

R = (u² sin 90°)/g = (u²/g)

We are then told that this maximum range is 300% of the value obtainable for the range at a particular angle

Maximum range = 3R

(u²/g) = 3(u² sin 2θ)/g

Sin 2θ = (1/3)

2θ = sin⁻¹ (1/3) = 19.47°

θ = (19.47°/2) = 9.74°

Hope this Helps!!!


Related Questions

A box is being pushed at constant speed up an inclined

Answers

Answer:

ok what is the question

Explanation:

I don't know what the question is

determine the inductance l of a 0.70- m -long air-filled solenoid 2.8 cm in diameter containing 8500 loops.

Answers

The inductance (L) of the air-filled solenoid will be approximately 0.0329 henries (H).

To determine the inductance (L) of a 0.70-meter-long air-filled solenoid with a diameter of 2.8 cm containing 8500 loops, follow these steps:

1. Convert the diameter to meters: 2.8 cm = 0.028 m.
2. Calculate the solenoid's cross-sectional area (A) using the formula A = πr^2, where r is the radius (half of the diameter): A = π(0.014 m)^2 ≈ 0.00061575 m^2.
3. Determine the solenoid's length (l): 0.70 m.
4. Calculate the number of turns per unit length (n) by dividing the total number of loops (8500) by the solenoid's length (0.70 m): n = 8500 loops / 0.70 m ≈ 12142.86 turns/m.
5. Use the formula for inductance of an air-filled solenoid: L = (μ₀ * n^2 * A * l), where μ₀ is the permeability of free space (μ₀ ≈ 4π x 10^(-7) T·m/A).
6. Plug in the values: L = (4π x 10^(-7) T·m/A) * (12142.86 turns/m)^2 * 0.00061575 m^2 * 0.70 m ≈ 0.0329 H.

The inductance (L) of the air-filled solenoid is approximately 0.0329 henries (H).

Learn more about inductance (L) at https://brainly.com/question/20471259

#SPJ11

Describe specifically why a one-time pad is completely unbreakable. What happens if we try and brute-force
something encrypted with a one-time pad?
Encrypt the message "yellowstone" using the key "wolf" using the vignere cipher.

Answers

A one-time pad is a type of encryption that is completely unbreakable if it is done correctly. It works by generating a random key that is at least as long as the message being encrypted. The key is then combined with the message using an XOR operation.

This produces a ciphertext that cannot be decrypted without the key. The key is used only once and then discarded, hence the name "one-time pad". A one-time pad is completely unbreakable because there is no pattern to the key that can be used to decrypt the message. Each character in the key is generated randomly and independently of the other characters. Therefore, the key is completely unpredictable. Even if an attacker knows the key length and has access to the ciphertext, they cannot use any techniques to decrypt it.

This is because there is no pattern to the ciphertext that can be used to determine the key.The only way to decrypt a one-time pad is to have the key. If an attacker tries to brute-force the encryption by trying all possible keys, they will generate every possible message that is the same length as the original message. This means that the ciphertext is completely meaningless without the key. It is therefore important to keep the key secret and ensure that it is only used once. ,Message: yellow stone Key: wolf To encrypt the given message using the vigenere cipher, we follow the steps below:Step 1: Write the message and key in a tabular form as shown below. To keep the process organized, we use the letters of the key to label the columns.

To know more about operation Visit;

https://brainly.com/question/13927631

#SPJ11

PLZ HELP, GIVING BRAINLIEST!!
A student uses a 320 Hz tuning fork during a lab investigation into the speed of sound. If the air temperature in the classroom is 20 degrees Celsius, what is the wavelength of the sound waves produced by the tuning fork?
A. 1.07 m
B. 3.43 m
C. 0.933 m
D. 343 m
E. 343 m

Answers

Answer:343m

Explanation:

Einstein’s theory of general relativity is currently the best explanation of gravity . What is likely to happen to this theory in the future

Answers

Answer:

2.00

Explanation:

Answersdff:

Explanation:

Lengths of time it takes for new light bulbs to burn out are an example of which type of data?

Answers

Lengths of time it takes for new light bulbs to burn out are an example of quantitative data. Quantitative data refers to any information that can be expressed numerically or measured.

In this case, the lengths of time are numerical values that can be measured in hours, days, or any other unit of time. This data provides information about the lifespan or durability of the light bulbs. Quantitative data is often used in statistical analysis and can be used to draw conclusions, make predictions, or identify trends.

It is important to collect accurate and reliable data to ensure meaningful analysis. Quantitative data is often used in statistical analysis and can be used to draw conclusions, make predictions, or identify trends. In summary, the lengths of time it takes for new light bulbs to burn out represent quantitative data.

To know more about light visit:

https://brainly.com/question/31064438

#SPJ11

Verify by substitution that the following equations are solutions to Equations 94.15 and 34.16 , respectively:E = Emax cos(kx-ωt)B = Bmax cos(kx-ωt)

Answers

The equation E = Eₘₐₓ cos(kx-ωt) is a solution to Equation 94.15, and the equation B = Bₘₐₓ cos(kx-ωt) is a solution to Equation 34.16.

Equation 94.15 represents the electric field (E) in an electromagnetic wave, while Equation 34.16 represents the magnetic field (B) in the same wave. These equations are known as the wave equations for electromagnetic fields.

In both equations, Eₘₐₓ and Bₘₐₓ represent the maximum amplitudes of the electric and magnetic fields, respectively. The variables k, x, ω, and t correspond to the wave number, position, angular frequency, and time, respectively.

By substituting these equations into Equations 94.15 and 34.16, we can verify if they satisfy the equations. When we substitute E = Eₘₐₓ cos(kx-ωt) into Equation 94.15, we get:

∂²E/∂x² - (1/c²) ∂²E/∂t² = 0

∂²(Eₘₐₓ cos(kx-ωt))/∂x² - (1/c²) ∂²(Eₘₐₓ cos(kx-ωt))/∂t² = 0

Expanding and simplifying the equation yields:

-Eₘₐₓ k² cos(kx-ωt) + (1/c²) Eₘₐₓ ω² cos(kx-ωt) = 0

Since cos(kx-ωt) is non-zero, we can cancel it out:

- Eₘₐₓ k² + (1/c²) Eₘₐₓ ω² = 0

Simplifying further:

- k² + (ω²/c²) = 0

Similarly, we can substitute B = Bₘₐₓ cos(kx-ωt) into Equation 34.16 and verify if it satisfies the equation. The process is similar to the one described above.

Learn more about electric field

https://brainly.com/question/8971780

#SPJ11


Why do we experience centripetal force and acceleration on a carousel?

Answers

since the ball is travelling in a circular path, an outside force must be acting on the ball that force is the string. The string is pulling back toward you, acting as the centripetal force.

The carousel is moving in a circular path. An outside force is acting on it which make the system accelerate and the force exerted by the railing of carousel cause the centripetal force.

What is centripetal force?

The force which make an object moves through a curvature path is called centripetal force. Similar to other forces, centripetal force also assciated with an acceleration.

The centripetal force in terms of mass and velocity for a moving body is given as:

Fc = Mv²/r

where r is the radius of curvature.

According to the second law of motion, a force is made by the mass and acceleration in the body.

A carousel is moving through a circular path. The force acting on the rails of carousel make its movement through the curved path and the motion is associated with an acceleration.

To find more on centripetal force, refer here:

https://brainly.com/question/10762178

#SPJ5

What are the two action-reaction force pairs when a ball is hung by a string?
Describe the direction of each of the four forces and the objects that exert those forces. Include whether they are contact or noncontact forces.

Answers

When a ball is hung by a string, there are two action-reaction force pairs:

1. The force of the ball pulling down on the string is equal in magnitude and opposite in direction to the force of the string pulling up on the ball. The direction of the force of the ball pulling down on the string is downwards, while the direction of the force of the string pulling up on the ball is upwards. Both of these forces are contact forces.

2. The force of the string pulling down on the attachment point (such as a hook or a nail) is equal in magnitude and opposite in direction to the force of the attachment point pulling up on the string. The direction of the force of the string pulling down on the attachment point is downwards, while the direction of the force of the attachment point pulling up on the string is upwards. Both of these forces are contact forces.

In summary, when a ball is hung by a string, there are two action-reaction force pairs: the force of the ball pulling down on the string and the force of the string pulling up on the ball, and the force of the string pulling down on the attachment point and the force of the attachment point pulling up on the string.

why do they know giants are so large in radius?

Answers

Giants are known to be large in radius because of various scientific studies and observations. Astronomers and astrophysicists use methods such as photometry and spectroscopy to analyze the physical properties of stars, including their size and temperature.

These studies have shown that giants are typically much larger in radius than main sequence stars, with radii that can be up to ten times larger than the radius of the Sun.

This increase in size is due to the fact that giants have evolved to a later stage in their life cycle, where they have exhausted the hydrogen fuel in their cores and have expanded and cooled as a result.

Additionally, observational studies of binary star systems have provided further evidence for the large size of giants, as the gravitational influence of the giant star on its companion can be used to measure its size and mass.

Visit here to learn more about Sun brainly.com/question/31998244

#SPJ11

The indirect method is used to determine total power in a parallel circuit when that power is determined from the total current, total resistance, and source voltage.

Answers

The indirect method is used to determine total power in a parallel circuit through the following:

Total currentTotal resistanceSource voltage

What is a Parallel circuit?

This involves the circuit which has branches and a portion of the total current flows through it as a result.

In determining the total power in a parallel circuit, the indirect method is used only if the parameters mentioned above are available.

Read more about Parallel circuit here https://brainly.com/question/80537

If the net force on an object is zero, the object could (a) be at rest, (b) be in motion at a constant velocity, (c) have zero acceleration , (d) all of the preceding.

Answers

Answer:

BLACKPINK IN YOUR AREA MATH IS SO MUCH FUN

Explanation:

PERIOD AHH

An ant travels 50.0 cm East, then turns 35 degrees North of East and moves for 40.0 cm. It then turns and moves another 30 cm North. What is the ant's total displacement (magnitude and direction)?

Please help :) I will also post questions similar to this so if you know how to solve them go ahead and look :)

Answers

The magnitude of ant's total displacement is 96.23 cm in a direction 41 degrees North of East.

What is the total displacement of the ant?

The total displacement of the is obtained by resolving the displacement of the ant into x and y components as shown below.

horizontal displacement (x) = d cosθ

vertical displacement (y) = d sinθ

where;

θ is the direction of the displacementd is the magnitude of the displacement

First displacement at 50 cm East; (θ = 0⁰)

x = 50 cm x cos(0) = 50 cm

y = 50 cm x sin(0) = 0

second displacement at 40 cm at 35 degrees North of East;

(θ = 90⁰ - 35⁰ = 55⁰)

x = 40 cm x cos(55) = 22.94 cm

y = 40 cm x sin(55) = 32.77 cm

third displacement at 30 cm North; (θ = 90⁰)

x = 30 cm x cos(90) = 0

y = 30 cm x sin(90) = 30 cm

Net horizontal displacement;

∑x = 50 cm + 22.94 cm + 0 = 72.94 cm

Net vertical displacement;

∑y = 0cm + 32.77 cm + 30 cm = 62.77 cm

The total displacement is calculated as;

D = √[ (∑x)² + (∑y)² ]

D = √[ (72.94)² + (62.77)² ]

D = 96.23 cm

The direction of the total displacement;

θ = arc tan (Σy/Σx)

θ = arc tan (62.77/72.94)

θ =  40.7⁰ ≈ 41⁰

Learn more about total displacement here: https://brainly.com/question/15164011

#SPJ1

"Spacecraft Camera Captures Final Moments" BEST explains one of the ways to know if the
DART accomplished its ultimate goal?

Answers

Answer:

The DART mission proved to be successful. Its ultimate goal was to alter the trajectory of the asteroid Dimorphous. It was successful because the asteroid's trajectory was in fact altered. This mission is the first mission that intentionally altered the trajectory of a non man made object in space.

researchers are studying europa, one of the moons of jupiter. they are using a technique similar to sonar used by bats. sound waves directed at the surface would

Answers

Mechanical waves can be classified as either transverse or longitudinal waves depending on the sort of motion they undergo. It should be noted that longitudinal and transverse waves can both be periodic.

The disruption of a transverse wave propagates perpendicular to the direction of propagation. Similar to sound waves, ocean waves also transport energy from one location to another. Through a medium, such as water or air, this energy moves. Additionally, this energy travels in a transverse wave, which is a repeating up-and-down motion. Echolocation is the process of using sound waves and their echoes to locate things in space. In the dark, bats use echolocation to navigate and locate food.

Learn more about transverse here-

https://brainly.com/question/13618693

#SPJ4

Which of the following describes an element? (2 points)
A.Matter made up of only one type of atom
B.A substance made of two or more types of atoms
C.Two or more types of atoms chemically bonded together
D.Two or more types of atoms that are not chemically bonded

Answers

It’s A don’t go for D an element is a pure substance so it has only one type of atoms and they are chemically bound making a molecule

Answer:

✏︎A. Matter made up of only one type of atom

Explanation:

✏︎An element is a pure substance which cannot be broken down by chemical means, consisting of atoms which have identical numbers of protons in their atomic nuclei. The number of protons in the nucleus is the defining property of an element, and is referred to as the atomic number.

Can you plz mark as brainliest

What is a human endeavor

Answers

A human endeavor is one in which humans strive to achieve something of significance, or something of significance which can only be achieved via human intelligence, ingenuity, and/or willpower. Or simply a person’s motivation or drive to complete something.

Answer:

Education is a human endeavor. it prepares the individual for life and for the future.

Explanation:

perhaps we can say that a "human endeavor" is one in which humans strive to achieve something of significance, or something of significance which only can be achieved via human intelligence.

Which type of stress is most likely the cause of irritability?
eustress
O hypostress
O distress
O peripheral stress

Answers

Answer:

The correct answer is - distress.

Explanation:

Eustress is a type of stress that is beneficial to person and caused by adrenaline. Hypostress is a stress that is caused due to boredom or no work. It is stress comes with wasting the time.

Distress is the bad stress caused by anxiety, sadness, grief, and such type of stress that is caused irritability. Irritability is caused not just by stress but many factors.

the ultraviolet radiations in the stratosphere are absorbed by:

Answers

The ultraviolet (UV) radiations in the stratosphere are primarily absorbed by a layer of gas called the ozone layer.

The ozone (O3) molecules in the ozone layer have the ability to absorb UV radiation, particularly in the UV-C and most of the UV-B regions of the electromagnetic spectrum. When UV radiation interacts with ozone molecules, it can cause the breaking and reformation of ozone bonds, resulting in the absorption of UV energy.

This absorption process is important because it prevents a significant amount of UV radiation from reaching the Earth's surface. It acts as a protective shield against harmful UV rays that can have detrimental effects on living organisms, including increased risk of skin cancer, cataracts, and damage to marine ecosystems.

It's important to note that not all UV radiation is absorbed by the ozone layer. Some UV-B and a majority of UV-A radiation reach the Earth's surface, but they are less harmful compared to the shorter wavelength UV-C radiation that is almost entirely absorbed by the ozone layer.

Hence, The ultraviolet (UV) radiations in the stratosphere are primarily absorbed by a layer of gas called the ozone layer.

To know more about ultraviolet (UV) radiations here

https://brainly.com/question/4144192

#SPJ4

Crate is being pushed a constant velocity. What forces are being used?

Answers

Since the crate is moving at constant velocity the net force on the crate is zero. Since the crate is moving we are referring to the coefficient of dynamic friction. R is the reaction and is equal to the weight of the block mg. The effort is now doubled so the forces on the block are not balance

help me with the question b.​

help me with the question b.

Answers

Answer:

a) The specific heat capacity means the amount of heat needed by a unit mass of a material to increase its temperature in one unit.

b) Liquid P - \(Q = 3840\,J\), Liquid Q - \(Q = 5500\,J\), Liquid R - \(Q = 7800\,J\), Liquid S - \(Q = 2856\,J\)

Explanation:

a) The specific heat capacity means the amount of heat needed by a unit mass of a material to increase its temperature in one unit.

b) Let suppose that heat transfer rates between liquids and surroundings are stable. The quantity of the heat released is determined by the following expression:

\(Q = m\cdot c\cdot (T_{r} - T_{f})\) (1)

Where:

\(m\) - Mass of the liquid, in kilograms.

\(c\) - Specific heat capacity, in joules per kilogram-degree Celsius.

\(T_{r}\) - Initial temperature of the sample, in degrees Celsius.

\(T_{f}\) - Freezing point, in degrees Celsius.

Liquid P (\(m = 1\,kg\), \(c = 160\,\frac{J}{kg\cdot ^{\circ}C}\), \(T_{r} = 30\,^{\circ}C\), \(T_{f} = 6\,^{\circ}C\))

\(Q = (1\,kg)\cdot \left(160\,\frac{J}{kg\cdot ^{\circ}C} \right)\cdot (30\,^{\circ}C - 6\,^{\circ}C)\)

\(Q = 3840\,J\)

Liquid Q (\(m = 1\,kg\), \(c = 220\,\frac{J}{kg\cdot ^{\circ}C}\), \(T_{r} = 30\,^{\circ}C\), \(T_{f} = 5\,^{\circ}C\))

\(Q = (1\,kg)\cdot \left(220\,\frac{J}{kg\cdot ^{\circ}C} \right)\cdot (30\,^{\circ}C - 5\,^{\circ}C)\)

\(Q = 5500\,J\)

Liquid R (\(m = 1\,kg\), \(c = 300\,\frac{J}{kg\cdot ^{\circ}C}\), \(T_{r} = 30\,^{\circ}C\), \(T_{f} = 4\,^{\circ}C\))

\(Q = (1\,kg)\cdot \left(300\,\frac{J}{kg\cdot ^{\circ}C} \right)\cdot (30\,^{\circ}C - 4\,^{\circ}C)\)

\(Q = 7800\,J\)

Liquid S (\(m = 1\,kg\), \(c = 102\,\frac{J}{kg\cdot ^{\circ}C}\), \(T_{r} = 30\,^{\circ}C\), \(T_{f} = 2\,^{\circ}C\))

\(Q = (1\,kg)\cdot \left(102\,\frac{J}{kg\cdot ^{\circ}C} \right)\cdot (30\,^{\circ}C - 2\,^{\circ}C)\)

\(Q = 2856\,J\)

A coin falls off a table and is traveling to the ground. Which claim about the forces acting on the coin must be true?
(Choice A)
There is a net force on the coin.

(Choice B)
There are no forces on the coin.

(Choice C)
There is no net force on the coin.

(Choice D)
There is not enough information.

Answers

A) it has a net force because we know that it’s going down in a direction, so there is no force being cancelled out.

A coin falls off a table and is traveling to the ground. There is a net force on the coin which is responsible for the motion of the coin. Thus, the correct option is A.

What is Net force?

The net force can be defined as is the sum of all the forces which are acting on an object. Net force acting upon an object can accelerate its mass. Some other forces also acts on a body either at rest or motion. The net force is used in a system when there is a significant number of forces acting on the object.

A coin which falls off a table and is still traveling to the ground. Then, it can be concluded that there is a net force which is acting on that coin which is responsible for the motion of the coin.

Therefore, the correct option is A.

Learn more about Net force here:

https://brainly.com/question/29261584

#SPJ2

If you had a known sample of a mineral whose density was 7.1 grams/ml and its volume was 15 ml. What is the mass of the mineral.

Answers

Answer:

The answer is 106.5 g

Explanation:

The mass of a substance when given the density and volume can be found by using the formula

mass = Density × volume

From the question

volume = 15 mL

density = 7.1 g/mL

We have

mass = 7.1 × 15

We have the final answer as

106.5 g

Hope this helps you

An object of mass 10 kg is placed on a frictionless
incline of 25°. Deduce how many seconds it would
take to travel down a 5.0 m incline from rest.

Answers

Initial velocity = 0 m/s

Displacement = 5 m

Acceleration = 10cos25° = 9.06 m/s^2

time = ? (To be calculated)

Using, S = ut + at^2/2, we have

5 = 0(t)+9.06t^2/2

10/9.06 = t^2

t = 1.006 seconds

what is the distance (in meters) of an object that has an angular diameter of 75 arcseconds and a linear diameter of 65 meters?

Answers

The distance (in meters) of an object that has an angular diameter of 75 arcseconds and a linear diameter of 65 meters is 178762.96 meter.

As per the data given the angular diameter is of 75 arcseconds.

And the linear diameter is of 65 meters.

Angular diameter, \($\delta\) = 75 arcsecs.

Linear diameter, α = 65 meters

Here we have to determine the distance (in meters) of an object.

Distance D =?

We know that:

Linear diameter: The distance between the two specified sites or objects is the linear measurement.

Angular diameter: The apparent diameter of a planet or other celestial object as determined by the observational angle it assumes.

\(\delta=2 \arctan \left(\frac{d}{2 D}\right)\)

For the small angle approximations

\($ \left.\delta=\frac{d}{D}\)

\(& \delta\) = 75 ( 1 arcsec = 4.8481 \(\times 10^{-6}\) Radians)

\(& \delta\) = 75 × 4.8481 \(\times 10^{-6}\)  Radians

\(& \delta\) = 0.00036361 Radian

Hence distance can be calculated by:

D = \($\frac{d}{\delta} \\\)

D = \($\frac{65}{0.00036361} \\\)

D = 178762.96 meter

Therefore the distance (in meters) of an object is 178762.96 meters.

For more questions on distance

https://brainly.com/question/14192410

#SPJ4

what is gram used to measure

A. volume
B. Mass
C. distance
D. Time

Answers

Answer:

measure what

Explanation:

?????????????

Answer:

B. Mass

Explanation:

which type of earthquake waves is the last to be recorded on a seismogram?

Answers

the answer is surface waves

PLS HELP MEH!!!!


Sound travels fastest in

a) air
b) water
c) glass
d) diamond

WILL MARK BRAINLIEST IF ANSWER

Answers

My answer has to be 20 characters but it’s a) air

Answer:

hope this helps

Explanation:

Of the three phases of matter (gas, liquid, and solid), sound waves travel the slowest through gases, faster through liquids, and fastest through solids

so your answer would be B.

the plates of a spherical capacitor have radii 38.0 mm and 40.0 mm. (a) calculate the capacitance. (b) what must be the plate area of a parallel-plate capacitor

Answers

If the plates of a spherical capacitor have radii 38.0 mm and 40.0 mm then the capacitance is 1.03 × 10^-11 F and the plate area of a parallel-plate capacitor 20 mm square.

A capacitor is an electronic component that stores electrical energy in an electric field. It consists of two conductive plates separated by an insulating material, which is called a dielectric. The conductive plates are usually made of metal and the dielectric can be made of various materials such as paper, ceramic, plastic, or air.

To calculate the capacitance of a spherical capacitor with radii of 38.0 mm and 40.0 mm, we can use the formula:

C = 4πε₀ / (1/R₁ - 1/R₂)

where C is the capacitance, ε₀ is the permittivity of free space (8.85 × 10^-12 F/m), R₁ is the radius of the inner sphere (in meters), and R₂ is the radius of the outer sphere (in meters).

Converting the radii to meters, we have R₁ = 0.038 m and R₂ = 0.04 m. Plugging in these values, we get:

C = 4πε₀ / (1/0.038 - 1/0.04)

= 1.03 × 10^-11 F

To know more about capacitor here

https://brainly.com/question/27393410

#SPJ4

what will happen if the positive and negative connections on the voltmeter are reversed?

Answers

When a voltmeter current is reversed, it will read the load's voltage polarity in reverse. This means that in a digital voltmeter reading a DC voltage, the voltmeter value will be negative.

Hope this helps have an excellent day!
Other Questions
Can someone help me with this I do not know where to start. Which areas of transportation offer supporting careers including mechanical, engineering, customer service, and management? (Select all that apply.)commercial airlinescruise lineswater mass transitmass transit which global entry strategy has the highest degree of risk? you will use ping, traceroute, and nmap to determine the network topology and layout with the types of systems used in the network. In general, readers today have a better understanding of science than readersin 1898. How would the tone of the passage's narrator have affected readersin 1898 versus readers today? I need to know soon Which postulate or theorem can be used for... help i don't understand this at all Gage and Max both leave the bookstore at the same time, but in opposite directions. If Gage travels 11 mph and Max travels 19 mph, how long until they are 180 miles apart? hours 3. Can markets be fully efficient if information is costly? Doeslearning information in a changing market environment always leadto more efficient markets? Determine the intent of the author with the text, "She hoped to remain unnoticed, but her white gown revealed her to him. He threw away his cigar and seated himself upon the bench beside her; without a suspicion that's he might object to his presence." Please help me with this problem my son is stuck on this an I need help with getting this answered correctly 2. What does Peeta's dad say about Katniss's squirrels? hi i am b or ed any one have any ideas ? How does keeping the end in mind keep you motivated when you are overwhelmed SCENARIO INTRODUCTIONUse the information provided below to complete the questions.Suppose a small economy has two income tax rates: 20% for all income up to $50,000 and 30% for any income earned above $50,000. Suppose that the economy has a Government Budget for this year (year 1) of $70,900.00, and a total of five individuals earning the following income: Carla $28,000, Ben $49,000, Jennifer $50,000, Donnie $75,000, Maria $110,000. In chapter 5 we saw that GDP can be calculated in two ways, via the expenditure approach or the income approach, and that when the income approach is used, there must be adjustments made to National Income, specifically adding the Consumption of Fixed Capital and a Statistical Discrepancy. For the sake of simplicity, let's imagine that National Income is equal to GDP, in other words the Consumption of Fixed Capital and the Statistical Discrepancy are equal to zero.CALCULATING TAX REVENUES - YEAR 11. Calculate the Total Tax Revenues. a) what would be the total tax revenue paid by each of the five citizens? b) what is the total tax revenue for the small nation? (16 points)2. What is the small Nation's Income in year 1? (6 points)3. What percent of the Nation's Income does the Total Tax Revenue represent? (6 points)4. In year 1, does the economy have a balanced budget, a budget surplus, or a budget deficit. Accompany your response with the corresponding dollar amount. (6 points)CALCULATING TAX REVENUES - YEAR 25. Now assume that a recession (triggered by a reduction of Aggregate Demand) causes each of the five incomes to fall by 20%. In other words, income is 80% of what they used to be. Given the lower income, a) what would be the total tax revenue paid by each of the five citizens? b) what is the total tax revenue for the small nation? (18 points)6. What is the Nation's Income in year 2? (6 points)7. In year 2, what percent of the Nation's Income does the Total Tax Revenue represent? (6 points)8. Suppose that the Government Budget remained the same in year 2. Is the economy experiencing a balanced budget, a budget surplus, or a budget deficit, in year 2? Accompany your response with the corresponding dollar amount. (6 points)PUTTING IT ALL TOGETHER - PART 39. Using the answers for part 1 and part 2. Explain how this progressive tax structure (20% and 30% tax brackets) acts as an automatic stabilizer. (10 points)10. Using the answers for part 1 and part 2. What is the size of the recessionary Gap? In other words, what is the dollar value of the GDP that is being lost (not produced) because of the recession? (10 points)11. Assuming a Marginal Propensity to Save (MPS) of 20% or 0.20, use the Keynesian Multiplier to determine the additional amount of government spending required. (10 points) Which is the equation of a line that has a slope of -5 and passes through point (-3,-1)? O y=-3x+1 O y=-3x+3 O y=-x-1 O y=-x-3 3 Expand it please (3h+7k)2 A 3 kg ball is moving at 2.0 m/s to the right. It runs into a 1 kg ball moving at 0.5 m/s to the left. The balls bounce off each other. Q. If the 3 kg ball moves at 1 m/s to the left after the collision, how fast must the 1 kg ball be going after the collision? Show the equation and work the development of Nepal are related it's climax in the malla period justify the statement