A short tennis player hits a ball that is


r meters from their elbow with an angular acceleration

αalpha. A tall tennis player hits a ball with the same angular acceleration where the ball is
2, r from their elbow .

Answers

Answer 1

The tangential acceleration of the short player's ball is twice the tangential acceleration of the tall player's ball.

How does the acceleration affect the ball?

The ball of the shorter player experiences twofold of the ball of the taller player's tangential acceleration. The reason behind this is that the magnitude of the tangential acceleration correlates directly with the radius of the circle.

The ball belonging to the smaller player is positioned nearer to the elbow, resulting in a decreased radius. It can be deduced from this statement that the ball of the short player experiences twice the magnitude of tangential acceleration compared to the ball of the tall player.

The answer is: ashort = 2atall

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The Complete Question

A short tennis player hits a ball that is r meters from their elbow with an angular acceleration a. A tall tennis player hits a ball with the same angular acceleration where the ball is 2r from their elbow. How does the tangential acceleration of the short player's ball Ashort compare with the tall player's ball a tall? Choose 1 answer: ashort 2atall ashort Otall ashort 1 atall 2


Related Questions

An Eagar resident is driving down the road late at night at a velocity of 14 m/s. Suddenly an elk runs out in front of the car and the driver slams on the brakes. If the car comes to a stop (velocity final = 0 m/s) in 32 m, what is the acceleration of the car?

Answers

The acceleration of the car is approximately -3.06 m/s^2.

To find the acceleration of the car, we can use the kinematic equation:

v^2 = u^2 + 2as

Where:

v = final velocity = 0 m/s

u = initial velocity = 14 m/s

a = acceleration (to be determined)

s = displacement = 32 m

Plugging in the values into the equation, we can solve for acceleration:

0^2 = 14^2 + 2a(32)

Simplifying:

0 = 196 + 64a

Rearranging the equation:

64a = -196

Dividing both sides by 64:

a = -196/64

a ≈ -3.06 m/s^2

This means that every second, the car's velocity decreases by 3.06 meters per second. The negative sign indicates that the acceleration is in the opposite direction of the initial velocity, opposing the car's motion and bringing it to a stop.

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What is the wavelength of the standing wave?
Choose 1 answer:

Answers

From the image, the option that we should choose is option F; None of these.

What is the wavelength?

The distance between two consecutive points that are in phase or have the same displacement and are situated on either side of a standing wave is referred to as its wavelength. In other words, it represents the duration of a single wave cycle.

The length of the medium and the boundary conditions influence the wavelength for a standing wave on a string or in a medium.

Since we do not have the difference between two crests and troughs hence the answer ought to be none of these.

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Two objects gravitationally attract with force of 1,926N. If mass 1is multiplied by 0.38,mass2 is multiplied by 3.21, and the distance is multiplied by 2.25,the new force of attraction is:

Answers

The new force of attraction is found to be  813.25 N.

How do we calculate?

We that F_ = G * (m1 * m2) / r²

F_ = force of gravitational attraction,

G = gravitational constant =  [tex]6.67430 * 10^-^1^1[/tex]N(m/kg)²

m1 and m2 =  masses of the two objects, and

r = distance between the centers of the two objects.

new mass = 0.38 * m1

new mass  = 3.21 * m2_o

new distance = 2.25 *  r

new force = F  * (m1 * m2) / (m1 * m2) * (r² / r²)

new force= 1926 N * (0.38 * m1_original * 3.21 * m2_original) / (m1_original * m2_original) * (r_original²/ (2.25 * r_original)²)

new force = 1926 N * 0.38 * 3.21 / (2.25²)

new force  = 813.25 N

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Which of the following is true at the point where you reach the top of your jump on a trampoline?

The mechanical energy is zero
he potential energy is at maximum
The kinetic energy and potential energy are equal.
The potential energy is zero.

Answers

The potential energy is at the maximum when you reach the top of your jump on a trampoline. The correct answer is option B.

What is Potential Energy

Potential Energy is the type of energy an object possesses by virtue of its position relative to others, stresses within itself, electric charge, and other factors. Potential energy exists in various forms, including gravitational potential energy, elastic potential energy, chemical potential energy, and electrical potential energy.

This type of energy can be converted into another type of energies. Examples, a charged battery has potential energy and it can be used as electrical potential energy. Petrol, diesel and and gas have chemical potential energy and be used as kinetic energy.

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Unger homework!!!!! please guys can you help me? I don't have the textbook.
Textbook: the developing person through the Lifespan 11th edition.

Characters 20, 21, 22

you are to pick one area (biosocial, cognitive, or psychosocial) of development and apply it to your specific development. Once you have read the chapters, some aspects of one of these three chapters or areas should resonate with you such that you see yourself in your textbook readings. That's what I want you to center your discussion around.


What did you learn about yourself while reading one or all three of these chapters?

Are there any areas of the reading that made you think, "That's me! or "That's where I am in my life right now!" or "Wow, I hadn't considered that!"

Take a deep dive into the chapter content, and really apply and integrate what you've read to your personal life and developmental experiences.

Answers

Biosocial development focuses on the physical and biological changes that occur throughout the lifespan. It encompasses aspects such as growth, motor skills, and changes in the body's systems.

Cognitive development refers to the growth and changes in thinking, memory, problem-solving, and intelligence. Psychosocial development involves the social, emotional, and psychological aspects of development, including identity formation, relationships, and moral reasoning.

When reading these chapters, you might come across various concepts and theories that shed light on different stages of development and the challenges individuals may face during those stages.

By reflecting on the content, you can gain insights into your own developmental journey, identifying areas that resonate with your experiences, thoughts, and behaviors.

It can provide a deeper understanding of yourself and potentially open up new perspectives on your personal growth.

Remember, it's important to engage with the material and consider how it relates to your own life experiences rather than relying solely on the textbook.

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What is the correct answer option for question 14?

Answers

Based on the information provided in the second paragraph of "On a Mountain Trail," the correct option would be "The pack surrounding the sleigh is a very real threat to the two men on the trail." The correct option is C.

In the second paragraph, it is mentioned that the wolves had stopped running and were now "moving at a dogtrot, leisurely and methodically encircling the sleigh." This description implies that the wolves are actively surrounding the sleigh, which suggests a potential threat to the two men on the trail. The word "encircling" indicates a deliberate and coordinated action by the wolves, which implies predatory behavior.

Now let's examine why the other options are not true:

A. The surrounding pack should not be concerning to the two men.

This option is not true because the description in the paragraph clearly implies that the pack of wolves surrounding the sleigh is a cause for concern.

B. The wolves will eventually tire and will return to the safety of the underbrush.

This option is not supported by the information provided in the paragraph. There is no mention of the wolves becoming tired or retreating to the safety of the underbrush. The description implies that the wolves are actively encircling the sleigh, indicating an ongoing threat.

D. Once a sleigh is surrounded by a pack of wolves, there is no chance for human survival.

This option is an extreme statement and goes beyond the information provided in the paragraph. The paragraph does not provide any conclusive information about the chances of human survival in such a situation. It simply describes the current state of the wolves surrounding the sleigh, but it does not make a definitive statement about the outcome for the two men.

Therefore, The correct option is C.

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If the parallel circuit had 23 amps with the same resistance, what will be the voltage

Answers

If the parallel circuit had 23 amps with the same resistance, the voltage will be V = 23 amps * R.

To determine the voltage in a parallel circuit with a given current and resistance, we can use Ohm's Law, which states that the voltage (V) is equal to the current (I) multiplied by the resistance (R).

In this case, if the parallel circuit has a current of 23 amps and the same resistance as before, we can use the same resistance value as before to calculate the voltage.

Ohm's Law equation: V = I * R

Given:

Current, I = 23 amps

Resistance, R (same as before)

Substituting the values into the equation, we have:

V = 23 amps * R

Therefore, The specific value of resistance (R) is not provided in the question, so the voltage (V) cannot be determined without knowing the resistance value. If the resistance value is provided, you can substitute it into the equation to calculate the voltage.

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How does the authors word choice when describing the wolves impact tone of the passages?

Answers

However, based on the given options, the most appropriate choice would be:

B. It creates a neutral tone.

How tones inmapct passage

A neutral tone suggests that the author's word choice does not lean towards a specific emotional or judgmental stance. Instead, the author presents information about the wolves objectively, without exaggerated or dramatic language.

This choice implies that the author's word choice does not evoke a surreal, realistic, or patronizing tone, but rather maintains a balanced and impartial tone.

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What is the central idea of the passage? "Wild life on rockies"

Answers

The central idea of the passage "Wild life on rockies" is that Nature is a beautiful but dangerous force that should be treated with respect.

Option C is correct.

What is meant  by wildlife?

Wildlife refers to undomesticated animal species, but has come to include all organisms that grow or live wild in an area without being introduced by humans.

In the Wildlife, Animals that live independently of people, in natural conditions.

The Wildlife in the area includes deer, bears, and raccoons.

In conclusion, Nature is a beautiful but dangerous force but should be accorded respect.

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inquiry based pedagogy is being embraced in principle across the globe . in the last decade , it has been supported by an increasing body of research on its effectiveness . illustrate your understanding of the concept of inquiry based pedagogy with a relevant example.( 10 marks)​

Answers

Inquiry-based pedagogy empowers students to explore, question, and construct knowledge through active engagement. It encourages curiosity, critical thinking, and independent investigation, fostering a deeper understanding of concepts and skills that extend beyond the classroom.

Inquiry-based pedagogy is an approach to teaching and learning that emphasizes the active engagement of students in the exploration of meaningful questions, problems, or phenomena. It encourages students to ask questions, investigate, and construct their own knowledge through critical thinking, problem-solving, and hands-on experiences. Here's an example to illustrate the concept of inquiry-based pedagogy:

Example: Exploring Ecosystems

In a biology class, the teacher introduces the topic of ecosystems using an inquiry-based approach. The teacher poses a driving question to the students: "How do living organisms interact with their environment to form ecosystems?"

1. Questioning and Investigation: Students begin by generating their own questions related to ecosystems. They might wonder about the roles of different organisms, energy flow, or the impact of human activities. Guided by their questions, they conduct research, gather information from various sources, and share their findings.

2. Hands-on Exploration: The teacher organizes hands-on activities to allow students to observe and explore ecosystems firsthand. For example, they could set up mini-ecosystems in terrariums or conduct field trips to local habitats. Through these experiences, students can make observations, collect data, and analyze patterns.

3. Collaborative Learning: Students work in groups or pairs to analyze the data they have collected and draw conclusions. They engage in discussions, share their ideas, and challenge each other's thinking. This collaborative learning environment promotes critical thinking, communication, and teamwork.

4. Reflection and Presentation: Students reflect on their findings and insights gained from their investigations. They are encouraged to synthesize their learning into presentations, reports, or visual representations. These presentations provide opportunities for students to articulate their understanding and demonstrate their learning outcomes.

By engaging in inquiry-based learning, students develop essential skills such as critical thinking, problem-solving, communication, and self-directed learning. They become active participants in their own education, taking ownership of their learning process and developing a deeper understanding of the subject matter.

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What is the difference between classical mechanics and quantum mechanics?

Answers

Classical mechanics describes the motion of objects on a macroscopic scale, while quantum mechanics deals with the behavior of particles on a microscopic scale. Classical mechanics is deterministic, meaning that it predicts precise outcomes based on initial conditions, while quantum mechanics is probabilistic, providing probabilities of different outcomes. Classical mechanics follows the principle of causality, where every effect has a specific cause, whereas quantum mechanics introduces inherent uncertainty and wave-particle duality. Classical mechanics is well-suited for describing everyday objects, while quantum mechanics is necessary to explain the behavior of particles at the atomic and subatomic levels.

~~~Harsha~~~

the main difference between classical mechanics and quantum mechanics lies in how they describe the behavior of objects.

classical mechanics is the branch of physics that deals with the motion of everyday objects like balls, cars, and planets.

quantum mechanics is a branch of physics that focuses on the behavior of very small particles, such as atoms and subatomic particles like electrons.

I need help with this question

Answers

Explanation:

a boy walks at 2m/s for 30sec and run at 5m/s for 20sec. what is his average speed

A frying pan is connected to a 1500 volt circuit. If the resistance of the frying pan is 25 ohms, how many amperes does the frying pan draw?

Answers

The current (in amperes) the frying pan draws from the 500 volt circuit, given that it has a resistance of 25 ohms is 60 amperes

How do i determine the current drawn by the frying pan?

From the question given above, the following data were obtained:

Voltage of circuit (V) = 1500 V Resistance of frying pan (R) = 5 Ω Current (I) =?

The current drawn by the frying pan can be obtained as follow:

Voltage (V) = Current (I) × resistance (R)

Inputting the given parameters, we have:

1500 = Current × 25

Divide both sides by 25

Current = 1500 / 25

Current = 60 amperes

Thus, from the above calculation we can conclude that the current drawn by the frying pan is 60 amperes

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IS EARTH PLANET FALT OF ROUNDED?

Answers

Explanation:

Falt isn't a size. I guess you were trying to spell flat. No, the earth isn't flat. instead, it is round.

Answer:

Earth is round. But the map shows you flat.

A circle loop of radius 2 m is positioned in a uniform magnetic field of magnitude 1.5 N/C so that the plane of the loop makes an angle of 65° with the magnetic field. Find the flux passing through the circle loop.

Answers

The flux through the circle loop of wire is determined as 7.96 N/C.m².

What is the flux passing through the circle loop?

The flux through the circle loop of wire is calculated by applying the following formula.

Ф = EA cosθ

where;

B is the magnitude of the electric  fieldA is the area of the circular loopθ is the direction of the loop

The area of the wire is calculated as follows;

A = πr²

A = π (2 m)²

A = 12.57 m²

The flux through the circle loop of wire is calculated as;

Ф = EA cosθ

Ф = 1.5 x 12.57 x cos (65)

Ф = 7.96 N/C.m²

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A block of mass
m = 2.50 kg
is pushed
d = 2.30 m
along a frictionless horizontal table by a constant applied force of magnitude
F = 18.0 N
directed at an angle
= 25.0°
below the horizontal as shown in the figure below.

Answers

The work done on the block by the applied force is approximately -23.04 Joules.

The negative sign indicates that the work done is in the opposite direction of the displacement, as the force is directed below the horizontal.

In this scenario, the block of mass 2.50 kg is being pushed along a frictionless horizontal table by a constant applied force of magnitude 18.0 N, directed at an angle of 25.0° below the horizontal.

To determine the work done on the block by the applied force, we can use the formula:

Work = Force * Distance * cos(theta)

where the force is 18.0 N, the distance is 2.30 m, and theta is the angle between the force and the direction of displacement.

Since the force is directed at an angle below the horizontal, the angle theta is 180° - 25° = 155°, as the angle is measured with respect to the horizontal axis.

Now we can calculate the work done:

Work = 18.0 N * 2.30 m * cos(155°)

The cosine of 155° is negative, as it is in the third quadrant.

Work = 18.0 N * 2.30 m * (-0.57358)

Work ≈ -23.04 J

Therefore, the work done on the block by the applied force is approximately -23.04 Joules.

The negative sign indicates that the work done is in the opposite direction of the displacement, as the force is directed below the horizontal.

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How does uplift change the surface of Earth?

Answer options with 4 options
A.
Snow melts on the surface of Earth, causing rivers to form.

B.
Magma rises from the surface of Earth, causing lava beds to form.

C.
Wind blows across the surface of Earth, causing sand dunes to form.

D.
Pressure builds under the surface of Earth, causing mountains to form.

Answers

Pressure builds under the surface of Earth, causing mountains to form.The correct answer is option D.

Uplift refers to the geological process that elevates the Earth's surface, resulting in the formation of mountains. This process is primarily driven by tectonic forces, including the movement and collision of Earth's lithospheric plates.

When two plates converge, immense pressure builds up beneath the surface, causing the crust to buckle and fold. This deformation leads to the formation of mountains, as rocks are pushed upward and displaced vertically.

As the uplift process continues over millions of years, mountains gradually take shape. Erosion and weathering play significant roles in shaping their features, but it is the initial uplift that initiates the formation of mountains.

As the Earth's surface is elevated, a wide range of landforms can emerge, including rugged peaks, deep valleys, and steep slopes.

Uplift has a profound impact on the Earth's surface and ecosystems. Mountains alter local climates, influencing precipitation patterns and creating variations in temperature and wind patterns.

Therefore, uplift plays a crucial role in shaping the Earth's surface and influencing various geological, biological, and climatic processes.

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Determine the energy released per kilogram of fuel used.
Given MeV per reaction, calculate energy in joules per kilogram of reactants.
Consider 1 mile of tritium plus 1 mole of deuterium to be a mole of "reactions" ( total molar mass = 5 grams)

Answers

The energy released per kilogram of fuel used is 3.39 * 1014 J/Kg

Why is the energy released in a reaction?

Energy is released in a reaction because of  the breaking of bonds are well as formation of bonds.

The quantity of energy released in reactions differs according to the reaction type involved.

The energy released in nuclear reactions are far larger than that released in chemical reactions due to the release of nuclear energy from the nucleus.

The energy, E released in nuclear reactions is given by the formula below:

Energy per kilogram of reactants (in joules) = Energy per mole of reactants (in joules) / Total molar mass of reactants (in kg)

Energy per kilogram of reactants (in joules)  = [tex]1.60218 x 10^-^1^3 joules[/tex] /  5 grams

Energy per kilogram of reactants (in joules)   =  3.39 * 1014 J/Kg

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The energy released per kilogram of fuel used is 5.632 × 10^-14 J/kg.

5 grammes, 0.005 kilogrammes, of reactants are provided.

Since 1 mile of tritium and 1 mile of deuterium are equal to 1 mole of "reactions," the sum of the "reactions" in 0.005 kilogrammes of reactants may be computed as follows:

Total moles of "reactions" in 0.005 kg of reactants = (0.005 kg / 5 g/mol)                            

                                                                                     = 0.001 mole.

The MeV per reaction must now be multiplied by the total number of "reactions" in order to get the total energy released by the "reactions."

Next, the energy must be converted from MeV to Joules.

MeV to Joules conversion factor is 1.6 10-13 J/MeV.

Total energy released = (MeV per reaction) x (number of reactions) x (conversion factor)

Total energy released = (17.6 MeV/reaction) x (0.001 mole) x (1.6 × 10^-13 J/MeV)

Total energy released = 2.816 × 10^-16 J

The total energy released by the "reactions" is 2.816 × 10^-16 J.

To determine the energy released per kilogram of fuel used, we need to divide the total energy by the mass of fuel used.

Total energy released per kilogram of fuel used = (total energy released) / (mass of fuel used)

Total energy released per kilogram of fuel used = (2.816 × 10^-16 J) / (0.005 kg)

Total energy released per kilogram of fuel used = 5.632 × 10^-14 J/kg

Therefore, the energy released per kilogram of fuel used is 5.632 × 10^-14 J/kg.

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A string of length

LL vibrates to form a standing wave with two antinodes as shown below.

Answers

The wavelength of the standing wave is 2L. Option B

What is the wavelength of a standing wave with one antinode?

The wavelength of a standing wave with a single antinode is equal to the distance between the antinodes next to it. The wave's highest displacement occurs at the antinodes.

The wavelength () of the standing wave can be expressed as follows if we refer to the separation between neighboring antinodes as d:

λ = 2L

Therefore, the wavelength of a standing wave with a single antinode is equal to double the distance between adjacent antinodes.

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Which of the following is a vector quantity
weight
temperature
acceleration
distance

Answers

Answer:

weight, acceleration

Explanation:

weight = mass x gravity(meaning the direction of the mass)

acceleration = v-u/t

v-u is the change in velocity

Other Questions
Current Attempt in Progress The following transactions of Jaker Ltd. occurred in the month of January: Date: 1 3 5 9 15 Borrowed $13,300 from the bank. Issued 2,300 common shares for $23,000. Purchased inventory on account totalling $26,200. Bought computer equipment costing $8,500 for $4,200 cash and the balance on account. (a) Made sales totalling $26,500, of which $9,500 were on account. (b) The cost of the products sold from inventory was $14.800. Made payments on accounts owing to suppliers totalling $15,900. Collected on accounts from customers totalling $8,300. (a) Made sales totalling $11,100, all on account. (b) The cost of the products sold from inventory was $8,100. Employees earned wages of $2,500 during the month, of which $2,300 was paid. Incurred $800 of utilities expenses during the month. 19 25 27 28 28 Analyze and record these transactions. (Enter amounts that decrease account balance using either a negative sign preceding the number e.g. -45 or parentheses e.g. (45). Indicate whether it is Revenues, Expenses or Dividends declared in the last column. In case if there is no effect then select "Not Applicable". Post entries in the order presented in the problem statement.) Assets Accounts Receivable Date Cash Inventory Equipment (a) (b) (a) b) Liabilities Accounts Payable Wages Payable Loan Payable Shareholders' Equity Common Shares Retaine Earning Shareholders' Equity Common Shares Retained Earnings Revenues/Expenses/ Dividends Declared + + For the following quadratic function, (a) find the vertex and the line of symmetry. (b) state whether the parabola opens upward or downward, and (c) find its X-intercept(s), if they exist. f(x)=x2 - 10x + 9 a) The vertex of the parabola is (Type an ordered pair.) The line is the line of symmetry of the function f(x)=x? - 10x + 9. 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Given what you know about yourself and change would you be able to lead the change? Megan's current account balance is $5,000. She will need to spend $1,200 exactly 3 years from now. What is her account balance 5 years from now if the nominal interest rate is 8% per annum compounded semi-annually? A. $5,506.44 B. $5,544.93 C. $5,946.96 D. $5,997.39 Your answer is partially correct. Try again. Nieto Company's budgeted sales and direct materials purchases are as follows. Budgeted Sales January February March $237,000 230,100 329,800 Budgeted D.M. Purchases $33,500 38,900 38,300 Nieto's sales are 30% cash and 70% credit. Credit sales are collected 10% in the month of sale, 50% in the month following sale, and 36% in the second month following sale; 4% are uncollectible. Nieto's purchases are 50% cash and 50% on account. Purchases on account are paid 40% in the month of purchase, and 60% in the month following purchase. (a) Prepare a schedule of expected collections from customers for March. NIETO COMPANY Expected Collections from Customers March March cash sales 98940 Collection of January credit sales 59799.60 Collection of February credit sales 80535 Collection of March credit sales 23086 Total collections 262360.60 (b) Prepare a schedule of expected payments for direct materials for March. NIETO COMPANY Expected Payments for Direct Materials March March cash purchases 19150 Payment of March credit purchases 7660 Payment of February credit purchases 11670 Total payments 38480 Click if you would like to Show Work for this question: Qren Show Work find the radius of convergence, r, of the series. [infinity] (1)n n5xn 7n n = 1 Mr Ryan is a Certified Internal Auditor (CIA) who is working in a noninternal audit position as the director of purchasing. Mr Ryan signs a contract to procure a large order from the supplier with the best price, quality, and performance. Shortly after signing the contract, the supplier, Mrs Hannah, presents Mr Ryan with a gift of significant monetary value.Required:a. Would accepting the gift violate the IIA Code of Ethics? Discuss. b. Was Mrs Hannah's actions considered a bribe? Discuss. c. Will Mr Ryan be banned from being a Certified Internal Auditor (CIA)? Support your answer with references. d. There is a dilemma as to whether Mr Ryan should accept the gift. Discuss. How much weight do you think companies should put on tax and other incentives to locate their operations in a particular state or city? Is it a good thing for taxpayers?If you were a member of the IAM, how would you feel about the companys threats to move the jobs elsewhere? After settling the contract disputes, what would be your level of loyalty and commitment to the company? Movements along versus shifts of supply curves Consider the market supply of wine. Complete the following table by indicating whether an event will cause a movement along the supply curve for wine or a shift of the supply curve for wine, holding all else constant. Movement Along Shift Event O A change in expectations about the future price of wine An increase in the number of producers O O A decrease in the price of wine O O 4. Movements along versus shifts of demand curves Consider the market demand for hot dogs. Complete the following table by indicating whether an event will cause a movement along the demand curve for hot dogs or a shift of the demand curve for hot dogs, holding all else constant. Event Movement Along Shift A change in the expectations of consumers about their future income An increase in the number of consumers A decrease in the price of hot dogs 00 O 00 O Royal Shell has debt with both a face and a market value of 5,000. This debt has a coupon rate of 6% and pays interest annually. The expected perpetual earnings before interest and taxes is 2,000, the tax rate is 30%, and the unlevered cost of capital is 12%. What is the firm's cost of equity? A sample of 100 clients of an exercise facility was selected. Let X - the number of days per week that a randomly selected client uses the exercise facility X Frequency 0 3 1 15 2 32 3 29 4 11 5 7 6 3 Find the number that is 1.5 standard deviations BELOW the mean (Round your answer to three decimal places.) One hundred teachers attended a seminar on mathematical problem solving. The atitudes of representative sample of 12 of the teachers were measured before and after the seminar A positive number for change in attitude indicates that a teacher's attitude toward math became more positive. The twelve change scores are as follow 4:7; 1; 1; 0; 4-2::-1:5; 4;-) O Part What is the mean change score? (Round your inter to two decimale) Part What is the standard deviation for this tampa Cound your www to decimal placut) Partia What is the median change round your answer to cre decat place) e Part Find the change or that is 22 andard deviation how the mean Round your monede The most obese countries in the world have obesity rates that range from 11.4% to 74,6% This data is summarized in the table below. Number of Countries Percent of Population Obese 11.420.45 32 20.45-29.45 11 29.45-38.45 3 301.45-47.45 0 47.45-56.45 1 56 45-65.45 2 65.45-74.45 1 74.45-13.45 1 What is the best estimate of the average obesity perceritage for these countries (Round your answer to two decimal places What is the standard deviation for the 1sted obesity rates> (Round your answer to two decimal places.) The United States has an average obesity rate of 33,9. Is this rate above average or below (Round your answer to two decimal places) The obesity rate of the United States is than the average obesity rate How unusual is the United States obesity rate compared to the average rate? Explain The United States obesity rate is have an unusually than one standard deviation from the mean. Therefore, we can assume that the United States, while 34 % obese percentage of obese people Research Article Question ("A case study of impact and quality of an internal control Audit" Leif Christensen, Department of Accounting, Copenhagen Business School, Solbjerg Plads, published in 2022, Wily Publishers) attached in the syllabus. As articulated by the author answer the following: 1. Explain the contextual internal auditing features which is highlighted by the author. 2. Explain the specific IAF's recommendations given by the author Find all solutions of the equation in the interval [0, 21). tan0-2 sec 0 = 1 Write your answer in radians in terms of . If there is more than one solution, separate them with commas. 0 = 0 0,0 Question 4.IAS 24 Related Party Disclosures requires adequate disclosure in the financial statements of transactions between the entity and individuals/ businesses to whom it is related.i) Mr Bulldog owns all of the issued share capital of Terrier plc. During the year Mr Bulldog purchased goods and services from Terrier at normal market terms. Payment for the goods was made in full before the year-end.ii) Terrier plc owns 30% of the shares in a bank, Pinscher plc. At the end of the year Pinscher loaned 2 million to Terrier. The loan is for 2 years and is interest-free.iii) Mr Bulldogs wife, Mrs Bulldog, is a senior director of Ridgeback Ltd. During the year Ridgeback sold goods to Terrier. The transaction was at a 50% discount. The balance is still outstanding at the year end.Required:a) Discuss the related party disclosures required in the financial statements ofTerrier plc only. 12 marksb) Explain (< 250 words) why such disclosures are important to the user of financial statements. 13 marksTotal 25 marks what are the 3 (three) main objectives of integrated change control Sample 10(Apply knowledge of global economics)A. With reference to the demographic transition, explain what wemean by Potential Support Ratio. Why is this ratio critical for thedesign of policies t 1. Please show that(a) AD is downward-slopping for a large open economy with Mundell-Fleming model.(b) AD curve for a large open economy is flatter than the one for a closed economy.2. This question set is about consumption function.(a) What is Keynes consumption?(b) What is the problem(s) about Keynes consumption function?(c) Please explain how life-cycle hypothesis solves the problem(s) mentioned above? Suppose f(x,y) = x^2+ y^2- 6x and D is the closed triangular region with vertices (6,0), (0,6), and (0,-6). Answer the following. Find the absolute maximum of f(x,y) on the region D. Answer: Find the absolute minimum of f(X, y) on the region D. Answer: 2. Use the polar form and de Moivre's theorem to simplify (a) (1 + i) s 1-i (b) (1+3) (1 + i) (c) (1 + i) 20 + (1 - i) 20 (d) (3+1) 10 (1 - i)7 (e) (2+i2)- (f) (2+i2)8 (cos 0 + i sin 0) (sin 8 + i cos 0)