a small sports car and a pickup truck start coasting down a 11 m hill together, side by side. assuming no friction, what is the velocity of each vehicle at the bottom of the hill? assume that energy losses due to friction are negligible for both vehicles.

Answers

Answer 1

Assuming no friction and negligible energy losses due to friction, both the small sports car and the pickup truck will have a velocity of 14.8 m/s at the bottom of the hill.

The potential energy of a vehicle at the top of the hill is converted into kinetic energy as it coasts down the hill. In the absence of friction, the law of conservation of energy states that the total energy remains constant. The velocity of the vehicles at the bottom of the hill is determined by the amount of potential energy transformed into kinetic energy.

The potential energy (PE) of a vehicle is given by the formula:

PE = mgh

where m represents the mass of the vehicle, g is the acceleration due to gravity, and h is the height of the hill.

The kinetic energy (KE) of a vehicle is given by the formula:

KE = 1/2mv²

where m is the mass of the vehicle and v is its velocity.

Since there is no energy loss due to friction, the potential energy transformed into kinetic energy will be the same for both vehicles. As they start coasting down the hill from the same height and at the same time, they will reach the bottom of the hill at the same time. Therefore, the velocity of both vehicles will be the same at the bottom of the hill.

The formula for the velocity of a vehicle is:

Velocity = √(2gh)

where g is the acceleration due to gravity and h is the height of the hill.

Using this formula, we can calculate the velocity of each vehicle at the bottom of the hill as follows:

Velocity = √(2gh)

Velocity = √(2 × 9.81 × 11)

Velocity = 14.8 m/s

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Related Questions

(b) A ball is thrown vertically upwards with
velocity of 20 m/s from the top of a tower of
height 25 m from ground. How long does it
remain in air? (g = 10 m/s²)

Answers

Answer:

5 seconds

Explanation:

The vertical position of the ball will be given by the equation

df = do + vo t + 1/2 a t^2        df = final position  = 0  ( on the ground

                                              do = original position  ( 25 m )

                                               vo = original velocity (+ 20 m/s)

                                                a = - 10 m/s^2

So this becomes

0 = 25 + 20 t  - 1/2 (10)t^2      

  =  - 5 t^2 +20 t + 25             Use Quadratic Formula   a = -5    b=20  c = 25

                                                      to find the positive value of t = 5 seconds

Find the value of M

Please hurry

Find the value of MPlease hurry

Answers

The mass M is 150 Kg

How do we convert mass to weight?

Weight is a measure of the force exerted on an object due to gravity, whereas mass is a measure of the amount of matter in an object. To convert mass to weight, you multiply the mass by the acceleration due to gravity. The formula for converting mass to weight is:

Weight = mass * acceleration due to gravity

The acceleration due to gravity is 10 m/s^2 on the surface of the Earth.

Mass = 1500 N/10 m/s^2

= 150 Kg

Thus the mass of the object can be obtained as 150 Kg

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Ellie conducts an investigation to determine if size or weight affect how fast objects fall. Her investigation includes repeatedly dropping a basketball and a golf ball at the same time. After many trials, she determines that both balls land at the exact same time.

Why would Ellie's investigation be valid?

It is based on evidence.

It uses objects that move.

It proves her predictions are correct.

It includes her opinion.

Answers

Answer: The answer is A

Explanation: I have the same exact question as you and i took a quiz with this exact question and it said that was the answer and i also took a quizlet with this question and it also said the answer was A hope this helped :)!

The repetition of the experiment allows to support the results, therefore the correct answer is:

based on experimental evidence

The theory is a set of rules, principles and knowledge that are developed from models and experiments that are carried out repeatedly, finding similar results in any given case.

In this case, Ellie repeated each experiment several times, finding results that lead to the result that the two balls hit the ground at the same time, therefore her conclusions are supported by experimental evidence.

In conclusion the conclusions of the experiment of dropping the balls the correct answer is: it is based on the experimental evidence

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need help asap; put you as brainliest​

need help asap; put you as brainliest

Answers

Answer:

unmmmmmmmm I think the answerA

A man is pulling a cart having a mass of 2kg and an acceleration of 3 ms-2. Find the distance travelled by the cart if the work done is 20j

Answers

The cart travels approximately 3.33 meters when a man is pulling a cart having a mass of 2kg and an acceleration of 3 m/s².

To find the distance traveled by the cart, we'll use the work-energy theorem, which states that the work done on an object is equal to the change in its kinetic energy. The formula for work is:
Work = Force x Distance x cos(θ)
Since the man is pulling the cart, the angle (θ) between the force and the distance is 0 degrees, and cos(0) = 1.

So the formula simplifies to:
Work = Force x Distance
The force acting on the cart can be found using Newton's second law of motion:
Force = Mass x Acceleration
Given that the mass of the cart is 2 kg and its acceleration is 3 m/s², we can calculate the force:
Force = (2 kg) x (3 m/s²) = 6 N
Now we can find the distance traveled using the work done (20 J) and the force (6 N):
20 J = (6 N) x Distance
To solve for distance, divide both sides by 6 N:
Distance = 20 J / 6 N = 10/3 meters ≈ 3.33 meters

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Which topic are you most likely to find in a physics textbook?
A.
photosynthesis
B.
electricity and magnetism
C.
metals and nonmetals
D.
division of a living cell
E.
ionic, covalent, and metallic bonding

Answers

Answer: C. electricity and magnetism  

Explanation:

Answer:

B.

electricity and magnetism

is the ans

I find this in physics

he event that marks the end of a star's evolutionary life before becoming a white dwarf is
a. helium flash
b. a nova
c. a Type I supernova
d. the depletion of hydrogen in the core
e. a planetary nebula

Answers

The event that marks the end of a star's evolutionary life before becoming a white dwarf is a planetary nebula. So, option E is correct.

A planetary nebula is characterized by cosmic rays of gas and dust surrounding a dying star. This dying star becomes a white dwarf after the complete depletion of hydrogen in the core.

It gets its name from a scientist who described the gases to be looking like two planets around a dying star. Thus, it's called planetary nebulae. This marks the final stage of a dying star that becomes a white dwarf. It consists of the outer layers of the star.

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Explain how electrostatic works on an atom level

Answers

At an atomic level, electrostatics is responsible for most of the physical phenomena that we encounter in our everyday life. Every object we see around us, such as chairs, buildings, and people, are made up of atoms, and every atom has electrons that are negatively charged, protons that are positively charged, and neutrons that have no charge.

Electrostatics is the study of electric charges at rest and of the forces and fields associated with these charges. Electrons are held in atoms by the attraction of the positive nucleus for the negative charge of the electrons. This attraction is known as electrostatic force. The protons in the nucleus are also held together by electrostatic forces, which are much stronger than those that bind electrons to the nucleus.
The forces between charged objects are governed by Coulomb's Law. This law states that the force between two charged objects is proportional to the product of their charges and inversely proportional to the square of the distance between them. If the charges have the same sign, the force is repulsive; if they have opposite signs, the force is attractive.
Electrostatic forces play an important role in many physical phenomena, such as the attraction of dust particles to a TV screen, and the Van de Graaff generator, which uses electrostatic forces to build up very high voltages.

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FOR THOSE SMARTIES!! If the speed of an object is doubled, which of the following must also double?
a. the mass of the object
b. the kinetic energy of the object
c. the gravitational potential energy of the object
d. none of these

Answers

Answer:

i think b sorry if im wrong!

Explanation:

Find the correct statement
The disturbance created by a source of sound in the medium do not travels through the medium but the particles of the medium does.
The disturbance created by a source of sound in the medium travels through the medium and not the particles of the medium
The particles and the disturbance created by a source of sound in the medium do not travels through the medium
The disturbance created by a source of sound in the medium travels through the medium along with the particles of the medium

Answers

Answer:The disturbance created by a source of sound in the medium travels through the medium and not the particles of the medium

Explanation:i hope this is right

Which term refers to how loud or soft a sound is ?
A.Wavelength
B.Pitch
C.Volume
D.Speed

Answers

it would be option A i think

The term refers to how loud or soft a sound will be wavelength. Then the correct option is A.

What is the wave?

In physics, math, and related fields, a wave is a dynamic disturbance of one or more variables that spreads. Waves are referred to as periodic when they oscillate repeatedly around an equilibrium value at a specific frequency.

The wave can be represented as,

f(x) = A sin (ωt + ∅)

Where 'A' is the amplitude, 'ω' is the frequency, 't' is the time period, and '∅' is the phase difference.

Depending on the medium that it is moving through, sound has a wide range of speeds. The stiffness of the medium (or compressibility in the case of gases) and its density work together to define the speed of sound in that medium. The speed of sound increases with the rigidity (or lack of compressibility) of the medium.

If the amplitude is high then the voice is loud. Similarly, if the amplitude is low then the voice is soft.

The wave

The phrase describes a sound's wavelength, or how loud or soft it will be. Then, choice A is the best one.

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The wheel of a certain bus are 2m apart and the bus falls over when it is tilted sideways at 45degree angle with vertical. What is the tension in each rope

Answers

Answer:

F = m g / 4,  F = 12250 N

Explanation:

For this exercise we must use the rotational equilibrium relation

          ∑τ = 0

let's set a reference system on the wheel where the bus is turning and that the anti-clockwise rotations have been positive

          -2F x_string + W x_bus = 0

          x_bus =\frac{l}{2} cos 45

          x_string = l cos 45

where F is the force on each wheel and W the weight of the bus ,, we assume that the center of mass is in the middle and x_bus is the perpendicular distance from the center of mass to the turning point.

             2F l cos 45 = W \(\frac{l}{2}\)  cos 45

             F = m g / 4

to finish the calculation we must assume a mass for the bus m = 5000 kg

             F = 5000 9.8 / 4

              F = 12250 N

Liquidtight flexible nonmetallic conduit is subject to which of the following limitations?
a. cannot be used in direct sunlight, unless marked for this application
b. can become brittle in extremely cold temperatures
c. both of these

Answers

Extra care should be taken while installing the Liquidtight flexible nonmetallic conduit in such weather conditions. Option(C) is correct.

It is a limit for Liquidtight flexible nonmetallic conduit that it cannot be used in direct sunlight unless marked for this application. Liquidtight flexible nonmetallic conduit can only be used outdoors if it is explicitly marked for outdoor use and is exposed to sunlight without causing damage.

Any exposure to direct sunlight may cause the conduit to degrade, which may result in safety concerns. It can become brittle in extremely cold temperatures: It is a limit of Liquidtight flexible nonmetallic conduit that it can become brittle in extremely cold temperatures. It is a limitation of Liquidtight flexible nonmetallic conduit that, in extremely cold weather, it may become brittle and lose its capacity to flex.

When the temperature drops below a certain level, the material begins to harden, making it vulnerable to cracking or shattering. Therefore, extra care should be taken while installing the Liquidtight flexible nonmetallic conduit in such weather conditions.

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Assuming that the hill on the left will provide all of the potential energy for the ride, would this roller coaster actually make it around the loop?
Thanks!

Assuming that the hill on the left will provide all of the potential energy for the ride, would this

Answers

Yes I believe it would I think the answer is D

No, this roller-coaster would not able to make it around the loop because the hill would need to be higher than the loop's highest part,

The potential energy stored in the roller coaster from the first hill is not sufficient to make around-the-loop.

What is mechanical energy?

The sum of all the energy in motion (total kinetic energy) and all the energy that is stored in the system (total potential energy) is known as mechanical energy.

The expression for total mechanical energy can be given as follows

ME= PE + KE

The roller coaster would not be able to complete the loop because the hill would need to be higher than the highest point of the loop, and the potential energy stored in the roller coaster from the first hill would not be enough to complete the circle.

Therefore, the correct answer is option A.

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A roller coaster pushes a 25 kg person upward with a force of 300 N. What is the acceleration?

Answers

Answer: a=F/m , a = 300N/25N , a= 12 m/s2

Explanation: Divide the 300 by 25 you get 12 . If your wondering how i got 25N in the eqaution it because you change 25kg to 25N. I hope this helps you

Acceleration of an object is the force divided by mass. The acceleration of the roller coaster to push the 25 kg person with a force of 300 N is 12 m/s².

What is acceleration ?

Acceleration is a physical quantity measuring the rate of change in velocity. It is a vector quantity having both magnitude and acceleration. Acceleration has the unit of m/s².

According to Newton's second law of motion, the force acting on a body is the product of its mass and acceleration.

F = ma

Given that, mass of the person = 25 kg

force applied on the body = 300 N

acceleration = force/mass

a = 300 N/25 kg = 12 m/s²

Therefore, the acceleration of the roller coaster is 12 m/s².

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An____ collision occurs when an arrow hits the target.

Answers

Answer:

I think it's An inelastic collision occurs when an arrow hits the target because when the arrow hits it, the target and the arrow do not bounce away from each other.

Explanation:

An____ collision occurs when an arrow hits the target.

Q2. A certain machine is used to lift a load of 500N when an effort of 50N is applied to the machine the load is raised by 10m and effort is moved by 60m that is the efficiency of the machine? (1. sp)​

Answers

Answer:

2%

Explanation:

E=l/E x r/R x100%

=5000/50 x 0.1/0.6 x100

=2% or 166.7

Answer:
166.667%
Explanation:
MA = 500/50
. = 10
VR=60/10
=6
Efficiency=10/6 X 100%
=166.667

A rectangular coil of wire, 22.0 cm by 35.0 cm and carrying a current of 1.40 A, is oriented with the plane of its loop perpendicular to a uniform 1.50-T magnetic field pointing into the plane of the loop. Let the loop be in x-y Cartesian plane so that the long and short sides of the loop are parallel to x- and y-axis, respectively. The loop center is at the origin of x-y Cartesian plane. Note that the magnetic field is in the direction of the negative z-axis.a. Calculate: (i) the net force that the magnetic field exerts on the coil; (ii) the torque about the z-axis that the magnetic field exerts on the coil.b. The plane of the coil is now rotated through +30º from its initial orientation (the x-y plane of the Cartesian coordinate system that remains the same). Calculate: (i) the net force that the magnetic field exerts on the coil; (ii) the torque about the rotation axis that the magnetic field exerts on the coil.

Answers

Answer:

a)  \(F_{net}=0\)

b)  \(T=0\)

Explanation:

From the question we are told that:

Dimensions:

\(L*B=22.0*35.0cm\)

Current \(I=1.40A\)

Magnetic field \(B=1.40\)

Therefore

\(Area=L*B\)

\(A=22.0*35.0cm\)

\(A=770cm=>770*0^{-4}\)

a)

Generally Force on Looping gives

\(F_1-F_2\)

\(F_3=F_4\)

Therefore

\(F_{net}=0\)

b)

Generally the equation for Torque is mathematically given by

\(T=i*Asin \theta\)

Since A and B are on opposite direction

\(\theta=180\)

Therefore

\(T=1.40*770*10^{-4}sin 180\)

\(T=0\)

17. When people replace systems, even when they still work, this is an example of... *
A. Consumerism
B. Automation
C. Manual Labour
D. None of the above

Answers

I'm gonna have to guess B) Automation sorry if I get it incorrect

First off how is it automation, when the person who asked the question just said “when people REPLACE systems.” Automation is like the use of systems and machines. The person answered automation which is the toatal opposite of the answer, which is C, Manual labor. Manual labor is where humans work instead of the machines/systems.

So in simpler words......C.
Have a great day!

What are 2 benefits from vitamin b and 2 food sources?

Answers

2 benefits are, it has a direct impact on your energy level and helps maintain good health. 2 food sources are avocados and leafy greens.

What happens to the sound an object makes when the speed of vibrtions decreases (slowdown?)

Answers

Answer:

the volume increase

Explanation:

because because when the speed of the vibrations decrease the speech of the sounds become loud

A bullet fired from a gun experiences a peak force of 2,000 Newtons. Its peak acceleration is 50,000 meters per second squared. What is the bullet's mass

Answers

The mass of the bullet is calculated to be 0.04 kilograms.

This can be calculated using the following formula:

mass = force / acceleration

In this case, the force is 2,000 Newtons and the acceleration is 50,000 meters per second squared.

So, the mass of the bullet is:

mass =\(2,000 N / 50,000 m/s^2\)

        \(= 0.04 kg\)

The mass of the bullet is very small because it is traveling at a very high speed.

The force of the bullet is what propels it forward, and the acceleration is how quickly the bullet is gaining speed.

The smaller the mass of the bullet, the more force is required to accelerate it to a given speed.

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When humans pollute lakes, rivers, and streams,

Answers

Answer:

when waterways are polluted it affects all forms of life in the area - including us

expression:

for example when Lakes streams and ponds are polluted it can kill or harsh fish and other Wildlife that lives there!

hope that helps !

inattention hyperactivity and impulsivity are characteristics of

Answers

Answer:

ADHD, also called attention-deficit disorder, is a behavior disorder, usually first diagnosed in childhood, that is characterized by inattention, impulsivity, and, in some cases, hyperactivity.

Explanation:

What fitness level is helpful to know when a person is starting an exercise program

Answers

Answer:

There are various areas that should be considered to access the fitness level of an individual.

Explanation:

Knowing the specific details can help an individual to set realistic fitness goals, monitor their progress, and retain motivation. Fitness is typically measured in four main areas: cardiovascular fitness, muscle strength and endurance, flexibility, and composition of the body. It is important to evaluate these vital components of fitness so that one gets a fair knowledge of present fitness level and plan for the future accordingly.

a scaffold of mass 60 kg and length 5.0 m is supported in a horizontal position by a vertical cable at each end. a window washer of mass 80 kg stands at a point 1.5 m from one end. what is the tension in (a) the nearer cable and (b) the farther cable?

Answers

(a) The tension in the nearer cable is 941 N, and (b) the tension in the farther cable is 1373 N.

We need to find the tension in both the nearer and farther cables supporting the scaffold with a window washer on it.

a) To find the tension in the nearer cable, we must first calculate the total torque acting on the system, keeping in mind that the torque must be zero for the system to be in equilibrium. The torque contributions are:

1. The torque due to the window washer's weight (80 kg * 9.81 m/s²) acting at a distance of 1.5 m from the nearer cable.


2. The torque due to the scaffold's weight (60 kg * 9.81 m/s²) acting at the midpoint of the scaffold, which is 2.5 m from each cable.

Now, we can set up the torque equation:

T_near * 5.0 m = (80 kg * 9.81 m/s² * 1.5 m) + (60 kg * 9.81 m/s² * 2.5 m)

Solve for T_near:

T_near = ((80 kg * 9.81 m/s² * 1.5 m) + (60 kg * 9.81 m/s² * 2.5 m)) / 5.0 m
T_near ≈ 941 N

b) To find the tension in the farther cable, we can use the fact that the sum of the tensions in both cables must equal the total weight of the system (scaffold + window washer):

T_far + T_near = (80 kg + 60 kg) * 9.81 m/s²

Solve for T_far:

T_far = (140 kg * 9.81 m/s²) - T_near
T_far ≈ 1373 N

Therefore,  the tension in the nearer cable (a) is approximately 941 N, and the tension in the farther cable (b) is approximately 1373 N.

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A laser emits light with a frequency of 4. 75×1014 s−1. What is the wavelength of this radiation, in nm?.

Answers

A Final statement or concluding statement

The equation that relates wavelength, frequency, and speed of light is

c=λ × ν

To find wavelength, λ = c / f

λ = wavelength in meters

ν = frequency in Hertz (Hz) or 1s or \(s^{-1}\).

= 3 ×\(10^{8}\) m/s / 4. 75 × \(10^{14}\) \(s^{-1}\)(Using velocity of light as 3 x 108 m/s)

= \(6.3\)×\(10^{-7}\)m

= \(6.3\) × \(10^{2}\) nm

How is wavelength related to radiation?

Electromagnetic radiation is an electric and magnetic disturbance that travels at the speed of light through space. It has no mass or charge and travels in packets of radiant energy known as photons or quanta.Radio waves and microwaves, as well as infrared, ultraviolet, gamma, and x-rays, are examples of EM radiation.  Electromagnetic radiation moves at a constant speed in the form of a waveform.

The relationship of velocity to wavelength and frequency reveals the wave characteristics of EM radiation.

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A type of wave that carries energy from one place to another, even through
empty is : (fill in the blank) A-light, B-absorb , C- transmit , D- reflect

Answers

Answer:

light waves :)

Explanation:

A roller coaster is moving at 25 m/2 at the bottom of a hill. Three seconds later it reaches the top of the hill moving at 10 m/s. hat was the acceleration of the coaster

Answers

Answer:

Due to the general stability of Egyptian life and culture, all arts - including architecture and sculpture, as well as painting, metalwork and goldsmithing - were characterized by a highly conservative adherence to traditional rules, which favoured order and form over creativity and artistic expression

A kangaroo hops 1 km. How does its speed affect the total energy needed to cover this distance?A. A faster speed requires more total energyB. The total energy is about the same for a fast speed and a slow speedC A faster speed requires less total energy.

Answers

(A) A faster speed requires more total energy.

The kinetic energy of an object is given by the formula KE = (1/2)mv², where m is the mass of the object and v is its velocity. The energy required to cover a distance is the product of the force applied and the distance traveled. In the case of the kangaroo hopping, the force is supplied by the kangaroo's muscles, and the energy required is proportional to the distance traveled and the work done to overcome friction and air resistance.

When the kangaroo hops faster, it has a greater velocity, which means it has more kinetic energy. This requires more total energy to cover the same distance. Additionally, air resistance and friction increase with velocity, so the energy required to overcome these forces also increases with speed. Therefore, a faster speed requires more total energy.

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Other Questions
In A B C,C is a right angle. Two measures are given. Find the remaining sides and angles. Round your answers to the nearest tenth. mB=17.2, b=8.3 Two soccer balls (ball A and ball B) are kicked down the field. Ball A is kicked farther than ball B,but ball B reaches a higher height than ball A. Which of the balls spent more time in the air?(Come up with your answer and then discuss among your group until there is a consensus.) Write as a single logarithm: a) 3loga + 2log blog2 c b) In x + 3 ln y c) 2 log3 a + log3 (a-3) - log3 (a-9) Review condensing logarithmic expressions here. which one of the following salts, when dissolved in water, produces the solution with the highest ph?a. LiClO4 b. KF c. KHSO4 d. Li3PO4 e. BaO. the advance of european economic and political interests in the nineteenth century by demanding that non-european nations allow european nations, most particularly great britain, to introduce their manufactured goods freely into all nations or to introduce other goods, such as opium into china, that allowed those nations to establish economic influence and to determine the terms of trade: Write Eric Wu a message saying when he can photograph a lunar eclipse, and why lunar eclipses happen. State your claim about when lunar eclipses can be photographed.Then, use evidence to support your claim. For each piece of evidence you use, you must explain how the evidence supports the claim. You must use evidence from: An Ancient Machine for Predicting Eclipses articleEarth, Moon, and Sun SimMoon Sphere ModelWord bank: illuminatelunar eclipseorbitmoonmodelsunUSE THE REASONING TOOL FROM 3.4, ACTIVITY 3 TO HELP YOU!!!! Ron Mace, the man who coined the term universal design, dedicated his career to educating people about the importance of: 3. The future value of an annuity due of $2,000 for 15 years andpaying 4% interest per year. a) $31,200.00 b) $40,048.00 c)$22,928.00 d) $41650.00 e) ___________ About 30% of the U.S. population is under 20 years old. About 17% of the population is over 60 . What is the probability that a person chosen at random is under 20 or over 60? how can multiple users update an excel spreadsheet at the same time? Many high-end earners such as athletes, entertainers and surgeons have a maximum federal tax rate of up to 38.5% with the Medicare surtax, while entrepreneurs and business executives can often structure their compensation to get capital gains treatment and pay a maximum tax rate less than 2/3rds of that at 23.8%. Discuss the equity, risks and opportunities involved in tax planning executive compensation using some the the laws and tools you learned in chapters 5 & 6. Once again label and citations you use and clearly state opinions as such. 1. why must air tanks be drained? 2. what is a supply pressure gauge used for? 3. all vehicles with air brakes must have a low air pressure warning signal. true or false? 4. what are spring brakes? 5. front wheel brakes are good under all conditions. true or false? 6. how do you know if your vehicle is equipped with antilock brakes? A rock concert usually is about 120 db, and a normal conversation is about 60db. Note: formulas are found on the first page of the test. How many times greater is the sound intensity at a rock concert comparedwith a normal conversation? The x value means nothing on its own- it is used to find the probability that, assuming the hypothesis is true, the observed data set could have resulted from random fluctuations. A low probability suggests that the observed data are not consistent with the hypothesis, and thus the hypothesis should be rejected. A standard cutoff point used by biologists is a probability of 0.05(5%) . If the probability corresponding to the x value is 0.05 or less, the differences between observed and expected values are considered statistically significant and the hypothesis (that the genes are unlinked) should be rejected. If the probability is above 0.05 , the results are not statistically significant; the observed data are consistent with the hypothesis. To find the probability, locate your X value in the X Distribution Table in Appendix F . The "degrees of freedom" (df) of your data set is the number of categories (here, 4 phenotypes) minus 1, so df -3 .(b) The column headings for these values show the probablity range for your x number. Based on whether there are nonsignificant (p>0.05) or significant (p 0.05) differences between the observed and expected values, are the data consistent with the hypothesis that the two genes are unlinked and assorting independently, or is there enough evidence to reject this hypothesis? Given the following array declaration: int ArrayA[100]; What is the address of element 14? Assume the following An integer is 32 bits. The starting address of the array is 0x10010000. a) 0x10010014 b) 0x10010013 c) 0x10010056 d) 0x10010038 e) None of the above. a $10,000 business loan that begins today will need to be repaid in 9 months, and no sooner. the balance due on the loan at that time will be $10,260. what is the implied 9-month zero rate? in other words, what value of r0.75 would imply that the loan balance grows to this amount. express your answer in per annum continuous compounding. What is the risk management approach for using ways to place the risk of liability on another, often through leases and contracts The cooking time for a cake is 25 minutes correct to the nearest 5 mins. What is the longest cooking time for the cake (2 d.p.)? tell whether the function has a maximum value or a minimum value. find the value. ________ exemplifies a message characteristic, whereas ________ exemplifies a source characteristic.