what is the worst-case complexity of adding an element to a linked-list-based, unlimited-capacity stack

Answers

Answer 1

Adding an element to a linked-list-based, unlimited-capacity stack has a worst-case complexity of O(1).

What is the time complexity for adding an element to a linked-list-based, unlimited-capacity stack?

In computer science, a linked list is a linear data structure where each element, called a node, stores a reference to the next node. A stack is a data structure that follows the Last-In-First-Out (LIFO) principle, where the most recently added element is the first one to be removed. In a linked-list-based, unlimited-capacity stack, adding an element to the top of the stack has a worst-case complexity of O(1), meaning that it takes constant time to complete, regardless of the size of the stack.

This is because adding an element only involves creating a new node and updating the references to point to the new top of the stack. Therefore, the time it takes to add an element to the stack does not depend on the number of elements already in the stack.

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Related Questions

Working surfaces are classified as Very Light Duty, Light Duty, Medium Duty and Heavy Duty. Classify the following:

a. Roofing
b. Light Frame Construction
c. Concrete finishing using hand tools
d. Concrete finishing using motorized screeds
e. Structural Steel Erection

1. Very Light Duty
2. Light Duty
3. medium duty
4. Heavy Duty

Answers

The classification of the working surfaces are as follows;

Roofing → heavy duty Light frame construction → medium dutyConcrete finishing using hand tools → medium duty Concrete finishing using motorized screeds  → Light DutyStructural Steel Erection → Heavy Duty

What are working surfaces?

A working surface is a flat surface on which various activities can be carried out.

In a construction system, the duty carried on a particular working surface varies from another. They can be categorized into heavy-duty, medium-duty, light-duty, and very light-duty.

The classification of the working surfaces are as follows;

Roofing → heavy duty Light frame construction → medium dutyConcrete finishing using hand tools → medium duty Concrete finishing using motorized screeds  → Light DutyStructural Steel Erection → Heavy Duty

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(a) Design a high-pass filter with a cutoff frequency of 40 kHz. Use0.01 uF capacitor and an appropriate resistor. B) Sketch and label the circuit. C) What is the gain of the filter at the cutoff frequency? Give your answer both as ratio (Vout/Vin) and in dB. D) What is the gain of the filter at a frequency of 55 kHz? Give your answer both as a ratio (Vout/Vin) and in dB.

Answers

Answer:

a) 397.89 ohm

b) attached below

c) 0.707  as a ratio

Gain in dB = 20 log 0.707 = -3 dB

d)  0.8087

Gain in dB = 20 log \(|\frac{Vout}{Vin}|\) = -1.844 dB

Explanation:

A) Find the appropriate resistor

c = 0.01 uf

fc = 40 kHz

cut-off frequency ; fo = \(\frac{1}{2\pi RC }\)

from the above equation  R = \(\frac{1}{2\pi foC}\)  = 397.89 ohm

B) sketch of the circuit  is attached

C) The gain of the filter at the cutoff frequency

fc = 40 kHz,  

C = 0.01 uF ⇒ \(\frac{-j}{2\pi foC }\) =  -j 397.89

Vout = Vin * ( R / R- C )

Vout = Vin * ( 397.89 / (397.89 - j 397.89))

Vout = \(\frac{1}{\sqrt{2} }\)  Vin ∠45⁰

therefore gain = |\(\frac{Vout}{Vin }\)| = \(\frac{1}{\sqrt{2} }\) = 0.707  as a ratio

Gain in dB = 20 log 0.707 = -3 dB

D) Gain of filter at 55 kHz

c = 0.01 uF =  \(\frac{-J}{2\pi foC }\) =  -j 289.373 ohms

Vout = Vin * \(\frac{R}{R-C}\)  

        = Vin * ( 397.89 / ( 397.89 - j 289.373))

Gain in ratio \(|\frac{Vout}{Vin}|\) = 0.8087 ∠ 36.03⁰

therefore gain in ratio = 0.8087

Gain in dB = 20 log \(|\frac{Vout}{Vin}|\) = -1.844 dB

(a) Design a high-pass filter with a cutoff frequency of 40 kHz. Use0.01 uF capacitor and an appropriate

1: A baseball is hit 4 feet above the ground leaves the bat with an initial speed of 98 ft/sec at an angle of 0 45 is caught by an outfielder at a height of 3 feet.

Answers

Answer:

299.36 feet

Explanation:

\(To \ find \ the \ distance \ of \ the \ ball \ from \ the \ home \ plate. \\ \\ From \ the \ given \ information:\)

\(Height \ h = 4 \ ft\)

\(Initial \ speed \ V_o = 98 \ ft/s ec\)

\(The \ angle \ \theta = 45^0\)

\(Acceleration \ due \ to \ gravity (g)= 32.2 \ ft/s\)

\(U_x = V_o \ cos 45 = \dfrac{98}{\sqrt{2}}\)

\(U_y = V_o \ sin 45 = \dfrac{98}{\sqrt{2}}\)

So;

\(S_y = u_y t - \dfrac{1}{2}gt^2\)

\(-1 =\dfrac{98}{\sqrt{2}}t - \dfrac{1}{2}*32*1.85t^2\)

By solving:

\(t_1 = 4.32 \ sec\)

Thus;

\(horizontal \ distance = U_x t\)

\(= \dfrac{98}{\sqrt{2}}\times 4.32\)

\(\mathbf{=299.36 \ feet}\)

\(\mathbf{Thus \ , the \ distance \ from \ the \ home \ plate \ = \ 299.36 \ feet}\)

A conventional steering system has all of the following except

Answers

Which of the following is not a component of a steering system?

Tie rod

Chọn dữ liệu phù hợp và biểu diễn chúng dưới dạng biểu đồ, từ đó cho biết 3 yếu tố
mà người dùng xem xét nhiều nhất khi mua một chiếc tablet.

Answers

Answer:

Please explain it in English so that i can help you or you need someone who can speak Vietnam help you

In python

Write an expression that executes the loop body as long as the user enters a non-negative number.

Note: If the submitted code has an infinite loop, the system will stop running the code after a few seconds and report "Program end never reached." The system doesn't print the test case that caused the reported message.

Sample outputs with inputs: 9 5 2 -1
Body
Body
Body
Done.

Answers

Answer:

inputed = input("Choose some numbers, each separated with a space: ")

chosen = list(inputed)

chosen = chosen.remove(' ')

for value in chosen:

if '-' not in value:

print(Body)

else:

print(Done)

break

Explanation:

The for loop will go through every value in the list (your numbers) and check if it is positive or negative.

Which of the following is not an example of an action an individual can take to help mitigate against climate change A) using energy efficient light bulbs B) planting trees to remove CO2 C) rating locally sourced foods D) driving a vehicle with high fuel economy E) improving regional land use practices

Answers

The answer is C) rating locally sourced foods. While consuming locally sourced foods can have environmental benefits, it is not a direct action to mitigate against climate change. The other options listed - using energy efficient light bulbs, planting trees to remove CO2, driving a vehicle with high fuel economy, and improving regional land use practices - are all examples of actions individuals can take to help reduce their carbon footprint and mitigate against climate change.

which of the following is true of the perceptual-motor approach to job design?

Answers

The perceptual-motor approach to job design emphasizes the importance of designing jobs that take into account the capabilities and limitations of human perception and movement. The following statements are true about this approach:

What is the perceptual-motor approach?

1. It emphasizes the importance of matching the physical demands of the job to the abilities of the worker: True. The perceptual-motor approach recognizes that workers have different physical abilities and limitations, and that job tasks should be designed to match these capabilities to reduce the risk of injury and increase efficiency.

2. It focuses on simplifying tasks and reducing their complexity: True. The perceptual-motor approach suggests that simplifying tasks and reducing their complexity can make it easier for workers to perform their jobs, reducing the risk of error and increasing productivity.

3. It does not consider the social and psychological aspects of work: False. While the perceptual-motor approach emphasizes the importance of designing jobs that match workers' physical capabilities, it also recognizes the importance of social and psychological factors in work design. For example, it may consider the impact of job design on worker motivation and job satisfaction.

4. It is primarily concerned with reducing the physical demands of work: False. While the perceptual-motor approach does emphasize the importance of matching physical demands to workers' capabilities, it is also concerned with designing jobs that are efficient and effective, taking into account factors such as task complexity and worker skill levels.

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A particle P is moving in the plane around a curve defined in polar coordinates by r(theta) = (3 + sin(5*theta + 2) m. At the instant shown, the angular position, velocity, and acceleration of P are theta = 4 rad, omega = -1 rad/s, and alpha = 3 rad/s^2. What is the acceleration of vector a of P?a= ______i + _________ j m/s^2

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Every procedure where the velocity varies is referred to as acceleration. There are only two ways to accelerate: changing your speed or changing your direction, or changing both.

What is velocity?

The directional speed of an item in motion, as measured by a specific unit of time and observed from a certain point of reference, is what is referred to as velocity.

In kinematics, the area of classical mechanics that deals with the motion of bodies, velocity is a fundamental idea.

A physical vector quantity called velocity must have both a magnitude and a direction in order to be defined.

Speed is a coherent derived unit whose quantity is expressed in terms of meters per second in the SI. It is the scalar absolute value of velocity.

The definition of velocity is the rate at which a position changes with regard to time; this concept is also known as the instantaneous velocity.

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a typical information system will have which of these? (select all that apply, omit those that do not) a) somewhere to store data (often in the form of a database) b) a user interface where commands can be issued and results received c) a program to help use the data d) software to convert knowledge into data

Answers

Computer equipment Computer software is an example of physical technology that deals with data. The software's function is to instruct the hardware on what to do in the context of telecommunications.

Human resources and procedures, databases, and data warehouses. Operational, management, and strategic level systems are the three basic kinds of information systems that cater to various organizational levels. Information systems carry out tasks like collecting input data, storing it, processing it, and finally producing output data. The components of a system are not isolated from one another; rather, they are intertwined and have an impact on one another. To accomplish the system's objective, every component is arranged in a particular way. In a bigger system, a system will have a specific role to play. System feedback exists.

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Design a passive RC high pass filter with a cutoff frequency of 520 Hz using a 200 pF capacitor.
A) What is the value of the resistor?
Express your answer with the appropriate units.
B) What is the transfer function of the filter?
Express your answer in terms of the variables R , C , and s
C) If the filter is loaded with a resistor whose value is the same as the resistor in part B, what is the transfer function of this loaded filter?
Express your answer in terms of the variables R , C , and s
D) What is the cutoff frequency of the loaded filter from part D?
Express your answer with the appropriate units.
E) What is the gain in the pass band of the loaded filter from part D?

Answers

A) To design a passive RC high pass filter with a cutoff frequency of 520 Hz using a 200 pF capacitor, we need to find the value of the resistor. The formula for the cutoff frequency is:
f_c = 1 / (2πRC)

Rearranging for R:
R = 1 / (2πf_cC)

Plugging in the values:
R ≈ 1 / (2π × 520 Hz × 200 pF) ≈ 1.53 kΩ

B) The transfer function H(s) of the high pass filter is given by:
H(s) = sRC / (1 + sRC)

C) If the filter is loaded with a resistor of value R, the transfer function of the loaded filter H_L(s) is given by:
H_L(s) = (sRC)^2 / (s^2 + 2sRC + (RC)^2)

D) For a loaded filter, the cutoff frequency remains the same as in the original filter, which is 520 Hz.

E) The gain in the pass band of the loaded filter is equal to the square of the unloaded filter's gain, which is:
Gain = (sRC / (1 + sRC))^2

At the pass band, sRC >> 1, so the gain is approximately equal to 1.

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The beam is subjected to the load at its end. Take P = 4 kN and V = 2.5 kN Determine the maximum principal stress at point B

Answers

As per the question,GivenP = 4 kNV = 2.5 kNWe need to determine the maximum principal stress at point B.

In order to calculate the maximum principal stress at point B, we can apply the following formula:σ_max = ((σ_x + σ_y) / 2) ± √((σ_x - σ_y)^2 / 4 + τ_xy^2)
Where,σ_x = Bending stress
σ_y = Bending stress
τ_xy = Shear stress
By using the following formula and given values,σ_x = M*y / Iσ_y = - M*y / Iτ_xy = V*Q / (I*t)
where,M = Momenty = Distance from the neutral axis to the point in the section
I = Moment of inertia
Q = First moment of area about the neutral axis
V = Shear force at the point
t = Width of the section
Let's calculate the maximum principal stress at point B.

Thus, the maximum principal stress at point B is 24 MPa.

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What does efficiency measure?

Answers

Answer:

Efficiency is defined as any performance that uses the fewest number of inputs to produce the greatest number of outputs. Simply put, you're efficient if you get more out of less.

Explanation:

When was the first black or white hole discovered?

Answers

Answer:

1964

Explanation:

It was discovered in 1964 when a pair of Geiger counters were carried on board a sub-orbital rocket launched from New Mexico.

first person to awnser gets brainlyest!!​

Answers

Answer:

ok bet

4rfcdrry

.

7fyuum

.

Explanation:

httrr

.

_____is a slow wireless technology used to connect devices within a radius of about 30 feet

Answers

Answer:

Bluetooth is a slow wireless technology used to connect devices within a radius of about 30 feet. While Bluetooth technology is amazing, there are lots of bugs involved with Bluetooth devices, and there is still lots to be discovered in this area of tech.

6. During some actual expansion and compression processes in piston–cylinder devices, the gases have been

observed to satisfy the relationship PVn = C, where n and C are constants. Calculate the work done when a

gas expands from 350 kPa and 0.05 m3 to a final volume of 0.25 m3

for the case of n = 1 and 1.5.​

Answers

During some actual expansion and compression processes in piston-cylinder devices, the gases have been are the P1= P2.

What is the pressure?

Pressure is something that has the pressure that is physical and that causes the pressure is piston-cylinder devices.

During a few real enlargements and compression procedures in piston-cylinder devices, the gases were located to meet the connection PV n = C, wherein n and C are constants.

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The user manual states an accuracy of 0.1% of the reading for a tachometer (an instrument measuring the rotation speed of a shaft or disk, as in a motor or other machine) with an analog display dial graduated in 5 revolutions per minute (rpm) increments. Estimate the design stage uncertainty at 5000 rpm.

Answers

Answer: the design stage uncertainty is ±5.6 rpm

Explanation:

Given that;

machine with an analog display dial graduated in 5 revolutions per minute (rpm) increments; Q = 5 rpm

now lets calculate zero order uncertainty in this machine

⇒ ± 1/2Q =  1/2(5) = ± 2.5 rpm

given that accuracy is 0.1% of reading

0.1% of 5000 rmp = 0.1/100 × 5000 = 5 rpm

now the design stage uncertainty at 5000 rpm will be;

⇒ √((5)² + (2.5)²)

= √(25 + 6.25)

= √ 31.25

= ±5.59 ≈ ±5.6 rpm

Therefore the design stage uncertainty is ±5.6 rpm

what is the effect of impacts on the structure? on the structure course ​

Answers

Explanation:

Structure controls the major elements of a story, including plot, characters, setting, and theme. ... In this, we see the plot introduced, a crisis or complication, and a resolution. The structure affects the meaning of the story by organizing the theme of the writing.

Rank the following by their power output, from highest to lowest.1. Boeing 777 jet engine at full throttle 2. Central Pennsylvania gasoline station 3. Electrical power production of the country of Togo in West Africa 4. Diesel railroad locomotive

Answers

the ranking from highest to lowest power output is: Boeing 777 jet engine at full throttle, Diesel railroad locomotive, Electrical power production of the country of Togo in West Africa, Central Pennsylvania gasoline station.

Ranking the power output of the given options from highest to lowest: Boeing 777 jet engine at full throttle: A Boeing 777 jet engine at full throttle can produce a power output of up to 110,000 horsepower (82 MW). Diesel railroad locomotive: A typical diesel locomotive can produce a power output of around 4,000 to 6,000 horsepower (3 to 4.5 MW). Central Pennsylvania gasoline station: It is unclear what is meant by the power output of a gasoline station. Gasoline stations typically consume energy to power pumps and other equipment, rather than produce energy. Electrical power production of the country of Togo in West Africa: According to the International Energy Agency, Togo produced around 235 megawatts (MW) of electricity in 2019. This is significantly lower than the power output of the other options listed.

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14. Explain the concept of noncoincident loads for load calculations

Answers

Answer:

Explanation:

If the two different loads will not operate at the same time, such as heating and cooling

The maverick hybrid powertrain features a 2. 5l atkinson-cycle i-4 powertrain. With the gas engine and electric motor working together, what is the horsepower output of this hybrid powertrain?.

Answers

The maverick hybrid powertrain is an innovative system that combines a 2.5L Atkinson-cycle I-4 gasoline engine with an electric motor. When these two power sources work together, they can produce a considerable amount of power.

The gasoline engine in the maverick hybrid powertrain is designed using the Atkinson cycle, which is a thermodynamic cycle that improves fuel efficiency by reducing energy losses during combustion. This engine alone can produce up to 162 horsepower and 155 lb-ft of torque.

However, when the electric motor is added to the equation, the total power output of the hybrid powertrain increases significantly. The electric motor can provide up to 94 horsepower and 173 lb-ft of torque, which is a significant boost to the overall power output of the system.

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Explain what the ancient Romans did to solve the problem in the following scenario.

Situation: In ancient Italy, farmers were experiencing a drought. Rather than move to where the water was, Roman inventors decided to bring the water to the farmers.

Answers

Answer:

They moved fresh water around their vast empire with aqueducts and canals.

Explanation:

Dilute countercurrent immiscible extraction
A feed of 100.0 kg/min of a 1.2 wt % mixture of acetic acid in water is to be extracted with 1-butanol at 1 atm pressure and 26.7°C, we desire an outlet concentration of 0.1 wt % acetic acid in the exiting water. We have available solvent stream 1 that is 44.0 kg/min of pure 1-butanol and solvent stream 2 that is 30.0 kg/min of 1-butanol that contains 0.4 wt % acetic acid. Devise a scheme to do this separation, find the outlet flow rate and concentration of the exiting 1-butanol phase, and find the number of equilibrium contacts needed.
In Example we assumed that we were going to use all of the solvent available. There are other alternatives. Determine if the following alternatives are capable of producing outlet water of the desired acetic acid concentration.
a. Use only the pure solvent at the bottom of the extractor.
b. Mix all of the pure and all of the impure solvent together and use them at the bottom of the column.
c. Mix all of the pure and part of the impure solvent together and use them at the bottom of the column.

Answers

Sorry I don’t know the answer I just need to answer some questions before I am allowed to get my work done

The number of search queries processed by a FBI server in any 10-microsecond interval is a Poisson distributed RV, K, with α = 5 queries. What is the probability that at least three queries will be processed in a 4-microsecond interval? What is the probability that at least one query will be processed in a 1-microsecond interval?

Answers

The probability that at least three queries will be processed in a 4-microsecond interval is 0.3233.

The probability that at least one query will be processed in a 1-microsecond interval is 0.3297.

How to calculate the probability

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.

The probability that at least three queries will be processed in a 4-microsecond interval is:

= 1 - 0.6767

= 0.3233.

The probability that at least one query will be processed in a 1-microsecond interval is:

= 1 - 0.6703

= 0.3297.

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The I26 profile beam is supported and loaded as in the figure. It is required to calculate the vertical movement of the free end and the rotation of the free end.

The I26 profile beam is supported and loaded as in the figure. It is required to calculate the vertical

Answers

Answer:

...

Explanation:

...

Two added to four times a number, minus 3 times the number, equals 5.

Answers

Answer:

x= 3.

Explanation:

What is presented in this problem is basically an equation in verbal form.

1. Write the equation.

\(2+4x-3x=5\)

2. Solve for x.

\(2+4x-3x=5\\ \\2+x=5\\ \\x=5-2\\ \\x=3\)

3. Express the result.

x= 3.

A degenerate binary tree will have the performance of what other data structure? o A hash table
o A linked list o An array with holes o A bipartite graph

Answers

A degenerate binary tree will have the performance of a linked list.

This is because a degenerate binary tree only has one child node per parent node, creating a linear structure similar to a linked list. As a result, searching, inserting, and deleting elements in a degenerate binary tree would have the same performance as a linked list. A linked list is a data structure used in computer programming to store and manipulate collections of data elements, such as integers, characters, or other objects. It consists of a sequence of nodes, each of which contains a data element and a reference or pointer to the next node in the list.

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What is the meaning of beauty and completeness? In relation to these what are the attributes a Muslim should adopt?

Answers

ᴄᴏᴍᴘʟᴇᴛᴇɴᴇꜱꜱ ᴍᴇᴀɴꜱ ᴛʜᴇ ꜱᴛᴀᴛᴇ ᴏꜰ ʙᴇɪɴɢ ᴄᴏᴍᴘʟᴇᴛᴇ ᴀɴᴅ ᴇɴᴛɪʀᴇ; ʜᴀᴠɪɴɢ ᴇᴠᴇʀʏᴛʜɪɴɢ ᴛʜᴀᴛ ɪꜱ ɴᴇᴇᴅᴇᴅ.

ʙᴇᴀᴜᴛʏ ᴍᴇᴀɴꜱ combination of qualities, such as shape, colour, or form, that pleases the aesthetic senses, especially the sight.

braided rings, scalloped edges, gaps, knots, and kinks can all be caused by

Answers

Braided rings, scalloped edges, gaps, knots, and kinks can all be caused by mechanical interactions, such as twisting, bending, or compression forces, acting on flexible materials or structures.

Braided rings, scalloped edges, gaps, knots, and kinks are often observed in flexible materials or structures and can result from various mechanical interactions. When flexible materials are subjected to twisting or bending forces, they can form braided rings or exhibit scalloped edges. These phenomena occur due to the uneven distribution of stress and strain along the material, leading to localized deformations. Gaps can arise when there is insufficient contact or bonding between different parts of a structure, causing separations or spaces. Knots and kinks occur when flexible elements become tangled or bent in unexpected ways, usually due to external forces or improper handling. Overall, these manifestations are indicative of the complex behaviors and responses of flexible materials under mechanical stresses, highlighting the importance of understanding their properties and applications.

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in the short run, if p > atc, a perfectly competitive firm: question 7 options: a) produces output and earns zero economic profit. b) produces output and incurs an economic loss. c) does not produce output and earns economic profit. d) produces output and earns an economic profit. Three-Fifths Compromise Connecticut Compromise Major players Southern states vs. Northern states Large states vs. Small states Major issue Equal vote for all vs. Population based Which of these belongs in the empty box? (5 points) assume that cane normally produces and sells 92,000 betas per year. what is the financial advantage (disadvantage) of discontinuing the beta product line? This is of the volcanic island of Fogo, which is part of the Cape Verde islands in the eastern Atlantic Ocean. Refer to this map to answer the following questions.What is the highest elevation (high what document charges the defendent with a crime Gregory Enterprises has identified three cost pools to allocate overhead costs. The following estimates are provided for the coming year: Cost Pool Overhead Costs Cost driver Activity level Supervision of direct labor $320,000 Direct laborhours 800,000 Machine maintenance $120,000 Machinehours 960,000 Facility rent $200,000 Square feet of area 100,000 Total overhead costs $640,000 The accounting records show the Mossman Job consumed the following resources: Cost driver Actual level Direct laborhours 200 Machinehours 1,600 Square feet of area 50 Which method of allocation probably best estimates actual overhead costs used? Why? A. Single direct laborhours cost driver because it is best to allocate total costs uniformly to individual jobs. B. Single direct laborhours cost driver because it is easiest to analyze and interpret. C. Three activitycost drivers because they best reflect the relative consumption of resources. D. Three activitycost drivers because product costs can be significantly crosssubsidized. Which of the sentences below is written correctly?I make my own lunches.I make our own lunches.I make their own lunches.I make mine own lunches. miriam notices that the stock price of a particular stock in her portfolio is increasing relative to other firms' stock prices. the increasing stock price signals that HELP PLZZZZZZ WITH THIS MATH PROBLEM!!!!!!!!!!!!!!!! Interaction with the Environment An objective of the Canadian tax system is to be competitive with the tax systems of our tradingpartners. This is particularly true with respect to the United States, where both individual andcorporate tax rates are lower than those in Canada. However, this objective is often in conflict with other objectives of the tax system.Required:Explain this statement. Reference should be made to other qualitative characteris-tics of tax systems. Explain the event that pushed America to join World War II inyour own words john believes that the mind is governed by a different set of structures and rules than the physical body. based on this belief, one could conclude that john is a: The letters and represent nonzero constants. Solve ax+b=37,for x Keyana and Sam are testing the law of conservation of energy. They use the same ball and release it from the same vertical height. Keyana is using a frictionless track, while Sam's track has friction. They discover Keyana's ball had more kinetic energy than Sam's when it reached the bottom. Which statement best explains why this happened if energy is conserved? Sam's ball lost mass as it traveled along the track. Sam's ball interacting with the track converted energy into heat. Keyana's ball was able to gain momentum. Keyana's ball had more potential energy. This is the last question i have today pls help The deflection of earths planetary is example of in contract law, ratification is the act of accepting and giving legal force to an obligation that was previously not enforceable. true false What is the area of the polygon? data mining may uncover relationships in which no causality should be implied. in these cases, which of the following phases would be most appropriate?