Suppose we have a rod of length n inches and we also have an array of prices P, where P[i] denotes the selling price ($) of a piece that is i inches long. In class, we introduced an algorithm that uses dynamic programming to find a way of cutting the rod into pieces that maximizes the revenue (See CLRS Ch15.1 for reference). Suppose now we have to pay a cost of $1 per cut. The profit can be defined as revenue minus the total cost of cutting. Suggest an algorithm to find a way to cut the rod that maximizes our profit. State a expression for the run time of your algorithm.
Answers
The optimal solution to our problem as the set of cuts that maximizes the profit, which is revenue minus the total cost of cutting. The algorithm is based on a dynamic programming approach, which solves the problem using an iterative approach.
The cutting option which maximizes the profit for that step. The total runtime of this algorithm is \(O(n^2)\), where n is the length of the rod.
Assume we have n=8 inches long rod and P=[1,5,8,9,10,17,17,20] as an array of prices for i-inch rods.
At the very first iteration (for a 1-inch rod), revenue will be P[1] which is 1.At the second iteration (2-inch rod), revenue will be max(P[2], revenue[1]+revenue[1]) which is max(5, 1+1) which is 2.In the 3rd iteration (3-inch rod), revenue will be, max(P[3], revenue[2]+revenue[1]) which is max(8,2+1) which is 3. Similarly, in the nth iteration (n-inch rod), the revenue will be revenue[n] = max(P[i], revenue[n-i]+revenue[i]) for 'i' in range(1, n+1). The above algorithm takes O(n^2) time to get revenue.Now, to maximize the profit, we have to minimize the number of cuts. Let's say, we need x cuts to get the maximum revenue.
Then, the total cost of cutting will be x*cost = x.
So, the profit will be, profit = revenue - cost = revenue - x.
Now, we need to find the number of cuts which will minimize the total cost. Since we already know the revenue with Dynamic Programming, we can now check the minimum number of cuts to get the maximum revenue.
Following is the algorithm to minimize the cuts to maximize the profit: min_cuts[1] = 0 for 'j' in range (2,n+1): min_cuts[j] = 999999 for 'i' in range(1,j+1):
If, revenue[i] + revenue[j-i] - 1 < revenue[j]: continue if, min_cuts[j] > min_cuts[i-1] + min_cuts[j-i] + 1: min_cuts[j] = min_cuts[i-1] + min_cuts[j-i] + 1
Here, the first for loop is for the Dynamic Programming approach (to find revenue), and the second for loop is to minimize the number of cuts to maximize the profit.
The above algorithm will take \(O(n^2)\) time to minimize the cuts. Therefore, the expression for the run time of the above algorithm is \(O(n^2)\).
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Related Questions
Primary mental skills needed for riding a motorcycle
Answers
Answer:
You have to know the basic mechanics to help you correctly use the motorcycle, and you also have to have the right mindset - knowing you can ride it, and having determination. All of these factors are the primary mental skills you need for riding a motorcycle.
Answer:
B. Information processing and decision-making
Explanation:
What is the relationship between green building and self-interest? (Select all that apply.)
Green building is burdensome but has advantages in terms of public image.
Green building should be considered when necessary resources are in short supply.
Green building practices can lead to planning and budget efficiencies in general.
Green building is attractive because of its long-term growth potential as a market.
Answers
The relationship between green building and self-interest include the following:
Green building is burdensome but has advantages in terms of public imageGreen building is attractive because of its long-term growth potential as a market.What is Green building?This is the process of reducing the environmental impact of buildings. This therefore leads to enhancement of the health of people.
Its relationship with self interest can seen listed above as the most appropriate choice.
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29 10 1 point According to Gate Theory, which of the following factors can make you more sensitive to pain? Placebo effects Competing signals, like rubbing your elbow Chronic stress High levels of arousal 30 1 point Patients who are allowed to self-administer morphine use less than when they receive injections from healthcare providers. True False 31 1 point What happens when people lose their sense of smell (olfaction)? They often become manic. 32 Not much. Olfaction is not a very important sense for humans. They compensate by developing an increased sensitivity to taste (gustation). They often become depressed. 1 point The different taste qualities (sweet, sour, bitter, salt, umami) each have their own area of the tongue that is most sensitive to them. True False
Answers
The statement that The different taste qualities (sweet, sour, bitter, salt, umami) each have their own area of the tongue that is most sensitive to them is False.
Gate Theory states that competing signals such as rubbing your elbow can make you more sensitive to pain. This theory suggests that physical signals such as massage, pressure, heat, or cold can block the transmission of pain messages through the spinal cord and prevent them from reaching the brain. Therefore, when people rub their elbows or apply pressure to the area, this stimulates the non-painful touch fibers and decreases the transmission of the painful stimuli.
As per the statement, patients who are allowed to self-administer morphine use less than when they receive injections from healthcare providers is True. Olfaction is a very important sense for humans, and they often become depressed when they lose their sense of smell (olfaction). The statement that The different taste qualities (sweet, sour, bitter, salt, umami) each have their own area of the tongue that is most sensitive to them is False.
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A multispeed capacitor-run motor changes speed by adding impedance to the run winding and increasing the slip, not by changing the number of poles.
Answers
A multispeed capacitor-run motor changes speed by adding impedance to the run winding and increasing the slip, not by changing the number of poles.
A capacitor-run motor is a type of single-phase induction motor that uses a capacitor to create a phase shift between the run winding and the start winding. This phase shift causes the motor to start rotating in the desired direction.
The run winding is the main winding of the motor. It is responsible for providing the torque that keeps the motor running. The impedance of the run winding can be increased by adding a resistor or inductor in series with it. This increases the slip, which is the difference between the synchronous speed of the motor and the actual speed of the motor.
The slip is a measure of how much the rotor is lagging behind the rotating magnetic field. As the slip increases, the torque of the motor decreases. This allows the motor to run at different speeds.
The number of poles in a motor determines its synchronous speed. The synchronous speed is the speed at which the rotating magnetic field rotates. The number of poles can be changed by changing the physical configuration of the motor. However, this is not typically done in multispeed capacitor-run motors.
Additional Information
Multispeed capacitor-run motors are typically used in appliances such as fans and air conditioners. They are a good choice for these applications because they are relatively inexpensive and easy to maintain.
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Design a VHDL module
Inputs: din, clock, reset
Output dout
The first D-Flip-Flop (DFF) should have its D input connected to a module input and the last DFF should have its Q output connected to the module output. Include a clock and a reset to the module. The reset should asynchronously reset all four DFFs. Use a separate process for each DFF
Answers
Answer:
how we gonna do dat
Explanation:
Answer:https://www.chegg.com › questions-and-answers › four...
Question: Four Bit Shift Register Design a VHDL module Inputs: din, clock, reset Output dout The first D-Flip-Flop (DFF) should have its D input connected ...
1 answer
·
Top answer:
library IEEE; use IEEE.STD_LOGIC_1164.all; entity siso is port( din : in STD_LOGIC; clk : in STD_LOGIC; reset : in STD_LOGIC; dout : out STD_LOGIC ...
Explanation:
Which nation has a communist command economy?
Answers
Command economies exist in Cuba, North Korea, and the former Soviet Union.
What is communist economy?Communism is a political and economic theory that seeks to replace private property and a profit-driven economy with public ownership and collective management of a society's principal means of production (e.g., mines, mills, and factories) and natural resources.
China and Cuba are two main instances of communism or a communist economy. China is ruled by a single party, the Communist Party of China, and is officially known as the People's Republic of China. The National People's Congress, the president, and the State Council share power.
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in object-oriented analysis modeling, which process should be utilized *before* the object identification phase? select all that apply.
Answers
The process that should be utilized before the object identification phase in object-oriented analysis modeling are Requirements Gathering and Analysis, and Use Case Modeling.
Before the object identification phase in object-oriented analysis modeling, it is crucial to perform requirements gathering and analysis. This phase involves gathering information about the system's functionalities, stakeholders' needs, and user requirements. It helps in understanding the problem domain, identifying the system's goals, and defining the scope of the project.
Requirements gathering and analysis involve techniques such as interviews, surveys, and workshops to elicit and document the system requirements. It helps in identifying the overall functionality of the system, the interactions between different components, and the desired behavior of the system.
Another important process that should be utilized before object identification is use case modeling. Use case modeling focuses on capturing the functional requirements of the system from the user's perspective. It involves identifying and documenting the various use cases, actors (users or external systems interacting with the system), and their interactions.
By analyzing use cases, analysts can understand the system's behavior, identify key functionalities, and define the roles and responsibilities of different objects and components. Use case modeling helps in identifying the main actors and their goals, which later contribute to the identification of objects and their relationships.
By utilizing requirements gathering and analysis along with use case modeling, analysts can gather a comprehensive understanding of the system's requirements and user interactions before moving on to the object identification phase.
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A submarine submerges by admitting seawater (S = 1.03) into its ballast tanks. The amount of water admitted is controlled by air pressure, because seawater will cease to flow into the tank when the internal pressure (at the hull penetration) is equal to the hydrostatic pressure at the depth of the submarine. Consider a ballast tank, which can be modeled as a vertical half-cylinder (R = 8 ft, L = 20 ft) for which the air pressure control valve has failed shut. The failure occurred at the beginning of a dive from 60 ft to 1000 ft. The tank was initially filled with seawater to a depth of 2 ft and the air was at a temperature of 40 °F. As the weight of water in the tank is important in maintaining the boat’s attitude, determine the weight of water in the tank as a function of depth during the dive. You may assume that tank internal pressure is always in equilibrium with the ocean’s hydrostatic pressure and that the inlet pipe to the tank is at the bottom of the tank and penetrates the hull at the "depth" of the submarine.
Answers
Answer:
Explanation:
Fw= y looking symbol sea water (2010.62-168171.2727/h+32.935)ft^3
What flow type occurs when the heat exchanger has multiple passes and baffles?
Cross flow
Laminar flow
Parallel flow
Hybrid flow
Answers
What are poor conductors of heat and electricity that are brittle and break easily.
Answers
Solid nonmetal elements are "poor conductors of heat and electricity that are brittle and break easily".
Elements that usually lack the characteristics of metals are called nonmetals. Nonmetals are generally poor conductors of electricity and heat because in nonmetals electrons are not free to move. Nonmetals can be in form of solids, gases, or liquids. Solid nonmetals are referred to as those nonmetals that are not ductile or malleable but are brittle or powdery. Solid nonmetals are breakable easily.
Therefore, it is concluded that solid nonmetals are bad conductors of electricity and heat that are brittle and break easily.
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Determine the minimum required wire radius assuming a factor of safety of 3 and a yield strength of 1500 MPa.
Answers
This question is incomplete, the complete question is;
A large tower is to be supported by a series of steel wires. It is estimated that the load on each wire will be 11,100 N.
Determine the minimum required wire radius assuming a factor of safety of 3 and a yield strength of 1500 MPa.
answer in mm please
Answer:
the minimum required wire radius is 5.3166 mm
Explanation:
Given that;
Load F = 11100N
N = 3
∝y = 1500 MPa
∝workmg = ∝y / N = 1500 / 3 = 500 MPa
now stress of Wire:
∝w = F/A
500 × 10⁶ = 11100 / A
A = 22.2 × 10⁻⁶ m²
so
(π/4)d² = A
(π/4)d² = 22.2 × 10⁻⁶
d² = 2.8265 × 10⁻⁵
d = 5.3165 7 × 10⁻³ m³
now we convert to mm(millimeters)
d = 5.3166 mm
Therefore the minimum required wire radius is 5.3166 mm
An Ideal gas is being heated in a circular duct as while flowing over an electric heater of 130 kW. The diameter of duct is 500 mm. The gas enters the heating section of the duct at 100 kPa and 27 deg C with a volume flow rate of 15 m3/s. If heat is lost from the gas in the duct to the surroundings at a rate of 80 kW, Calculate the exit temperature of the gas in deg C. (Assume constant pressure, ideal gas, negligible change in kinetic and potential energies and constant specific heat; Cp =1000 J/kg K; R = 500 J/kg K
Answers
Answer:
The exit temperature of the gas = 32° C
Explanation:
Solution
Given that:
Inlet temperature T₁ = 27°C ≈ 300.15 K
Inlet pressure P₁ = 100 KPa = 100 * 10^3 Pa
Volume flow rate , V = 15 m/s³
Diameter of the deduct, D = 500 mm = 0.5 m
Electric heater power, W heater = 130 kW = 130 * 10^3 W
The heat lost Q = 80 kW = 80 * 10^3 W
Now,
From the ideal gas law, density of the air at the inlet is given as :
ρ₁ = P₁/RT₁ = 100 * 10^3/500 * 300
=0.6667 kg/m³
The mass flow rate through the duct is computed below:
m = ρ₁ V = 0.6667 * 15 = 10 kg/s
Thus
Applying the first law of thermodynamics to the process is shown below:
Q + m (h₁ + V₁²/2 + gz₁) = m (h₂ + V₂²/2 + gz₂) + W (Conservation energy)
So,
If we neglect the potential and kinetic energy changes of the air, the above equation can be written again as:
Q + m (h₁) = m (h₂) + W
or
Q - W heater =m (h₂ - h₁) or Q - W heater =m (T₂ - T₁)
Thus
h₂ - h₁ = Cp T₂ - T₁
Now by method of substitution the known values are:
(- 80 *10^3) - (-130 * 10^3) = 10 * 100 * (T₂ -27)
Note: The heat transfer is taken as negative because the heat is lost by the gas and work done is also taken as negative because the work is done on the gas
So,
Solving for T₂,
T₂ = 32° C
Therefore the exit temperature of the gas = 32° C
Consider a regenerative gas-turbine power plant with two stages of compression and two stages of expansion. The overall pressure ratio of the cycle is 9. The air enters each stage of the compressor at 300 K and each stage of the turbine at 1200 K. Accounting for the variation of specific heats with temperature, determine the minimum mass flow rate of air needed to develop a net power output of 105 MW.
Answers
Answer: the minimum mass flow rate of air required to generate a power output of 105 MW is 238.2 kg/s
Explanation:
from the T-S diagram, we get the overall pressure ratio of the cycle is 9
Calculate the pressure ratio in each stage of compression and expansion. P1/P2 = P4/P3 = √9 = 3
P5/P6 = P7/P8 = √9 =3
get the properties of air from, "TABLE A-17 Ideal-gas properties of air", in the text book.
At temperature T1 =300K
Specific enthalpy of air h1 = 300.19 kJ/kg
Relative pressure pr1 = 1.3860
At temperature T5 = 1200 K
Specific enthalpy h5 = 1277.79 kJ/kg
Relative pressure pr5 = 238
Calculate the relative pressure at state 2
Pr2 = (P2/P1) Pr5
Pr2 =3 x 1.3860 = 4.158
get the two values of relative pressure between which the relative pressure at state 2 lies and take the corresponding values of specific enthalpy from, "TABLE A-17 Ideal-gas properties of air", in the text book.
Relative pressure pr = 4.153
The corresponding specific enthalpy h = 411.12 kJ/kg
Relative pressure pr = 4.522
The corresponding specific enthalpy h = 421.26 kJ/kg
Find the specific enthalpy of state 2 by the method of interpolation
(h2 - 411.12) / ( 421.26 - 411.12) =
(4.158 - 4.153) / (4.522 - 4.153 )
h2 - 411.12 = (421.26 - 411.12) ((4.158 - 4.153) / (4.522 - 4.153))
h2 - 411.12 = 0.137
h2 = 411.257kJ/kg
Calculate the relative pressure at state 6.
Pr6 = (P6/P5) Pr5
Pr6 = 1/3 x 238 = 79.33
Obtain the two values of relative pressure between which the relative pressure at state 6 lies and take the corresponding values of specific enthalpy from, "TABLE A-17 Ideal-gas properties of air", in the text book.
Relative pressure Pr = 75.29
The corresponding specific enthalpy h = 932.93 kJ/kg
Relative pressure pr = 82.05
The corresponding specific enthalpy h = 955.38 kJ/kg
Find the specific enthalpy of state 6 by the method of interpolation.
(h6 - 932.93) / ( 955.38 - 932.93) =
(79.33 - 75.29) / ( 82.05 - 75.29 )
(h6 - 932.93) = ( 955.38 - 932.93) ((79.33 - 75.29) / ( 82.05 - 75.29 )
h6 - 932.93 = 13.427
h6 = 946.357 kJ/kg
Calculate the total work input of the first and second stage compressors
(Wcomp)in = 2(h2 - h1 ) = 2( 411.257 - 300.19 )
= 222.134 kJ/kg
Calculate the total work output of the first and second stage turbines.
(Wturb)out = 2(h5 - h6) = 2( 1277.79 - 946.357 )
= 662.866 kJ/kg
Calculate the net work done
Wnet = (Wturb)out - (Wcomp)in
= 662.866 - 222.134
= 440.732 kJ/kg
Calculate the minimum mass flow rate of air required to generate a power output of 105 MW
W = m × Wnet
(105 x 10³) kW = m(440.732 kJ/kg)
m = (105 x 10³) / 440.732
m = 238.2 kg/s
therefore the minimum mass flow rate of air required to generate a power output of 105 MW is 238.2 kg/s
cubical tank 1 meter on each edge is filled with water at 20 degrees C. A cubical pure copper block 0.46 meters on each edge with an initial temperature of 100 degrees C is quickly submerged in the water, causing an amount of water equal to the volume of the smaller cube to spill from the tank. An insulated cover is placed on the tank. The tank is adiabatic. Estimate the equilibrium temperature of the system (block + water). Be sure to state all applicable assumptions.
Answers
Answer:
final temperature = 26.5°
Explanation:
Initial volume of water is 1 x 1 x 1 = 1 \(m^{3}\)
Initial temperature of water = 20° C
Density of water = 1000 kg/\(m^{3}\)
volume of copper block = 0.46 x 0.46 x 0.46 = 0.097 \(m^{3}\)
Initial temperature of copper block = 100° C
Density of copper = 8960 kg/\(m^{3}\)
Final volume of water = 1 - 0.097 = 0.903 \(m^{3}\)
Assumptions:
since tank is adiabatic, there's no heat gain or loss through the wallsthe tank is perfectly full, leaving no room for cooling airtotal heat energy within the tank will be the summation of the heat energy of the copper and the water remaining in the tank.mass of water remaining in the tank will be density x volume = 1000 x 0.903 = 903 kg
specific heat capacity of water c = 4186 J/K-kg
heat content of water left Hw = mcT = 903 x 4186 x 20 = 75.59 Mega-joules
mass of copper will be density x volume = 8960 x 0.097 = 869.12 kg
specific heat capacity of copper is 385 J/K-kg
heat content of copper Hc = mcT = 869.12 x 385 x 100 = 33.46 Mega-joules
total heat in the system = 75.59 + 33.46 = 109.05 Mega-joules
this heat will be distributed in the entire system
heat energy of water within the system = mcT
where T is the final temperature
= 903 x 4186 x T = 3779958T
for copper, heat will be
mcT = 869.12 x 385 = 334611.2T
these component heats will sum up to the final heat of the system, i.e
3779958T + 334611.2T = 109.05 x \(10^{6}\)
4114569.2T = 109.05 x \(10^{6}\)
final temperature T = (109.05 x \(10^{6}\))/4114569.2 = 26.5°
List the five lines that include short dashes.
Answers
Answer:
OBJECTLINE
HIDDEN LINE
SECTION LINE
CENTER LINE
Explanation:
What is the output? for num in range(3): print (num + 5)
Answers
Answer: 5 6 7
Explanation:
you can run this in python and get this result
The output for the given program is: 5 6 7
What is Python Programming Language?This refers to the high-level language that was created and is used for data structures due to its OOP (object-oriented programming).
Hence, this python code asks for an array of numbers in the range of 3 and when that is found, it should make a display of the number and increment it.
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Which statement best describes how power and work are related?
O A. Power is the ability to do more work with less force.
O B. Power is a measure of how quickly work is done.
O C. Power and work have the same unit of measurement
O D. Power is the amount of work needed to overcome friction.
Pls answer quick
Answers
B
a jsdnjwevhfgruewbkuwygru
.. You should
an eyewash station periodically.
A)
Remove
B) O Paint
C) Inspect
DO Move
Answers
Answer:
C.
Explanation:
You want to make sure it still works. You don't want to move it periodically though in case of an emergency.
2..Three formations, each 25 m thick, overlie one another. If a constant-velocity vertical flow field is set up across the set of formations with h = 120 m at the top and h = 100 m at the bottom, calculate h at the two internal boundaries. The hydraulic conductivity of the top formation is 0.0001 m/s, the middle formation 0.0005 m/s, and the bottom formation 0.0010 m/s.
Answers
The values of h at the two internal boundaries are :
h₁ = 104.625 m h₂ = 101.55 mGiven data :
Z₁ = Z₂ = Z₃ = 25 m
h top = 120 m
h bottom = 100 m
K₁ = 0.0001 m/s
K₂ = 0.0005 m/s
K₃ = 0.0010 m/s
First step : Calculate the value of Keqwe will apply the formula below since flow is perpendicular to the bedding plane
Keq = \(\frac{Z1 + Z2 + Z3 }{\frac{Z1}{K1}+\frac{Z2}{K2} + \frac{Z3}{K3} }\) ----- ( 1 )
Insert values given above into equation 1
Therefore ; Keq = 2.307 * 10⁻⁴ m/s
Next step : determine the hydraulic gradientHydraulic gradient ( Ieq ) = head loss / length
= ( 120 - 100 ) / 3 * 25
Ieq = 0.266
Given that the flow is perpendicular to bedding plane
q1 = q2 = q3
V₁ = V₂ = V₃ = V
K₁i₁ = K₂i₂ = K₃i₃ = Keq * ieq
Hence :
V = Keq* Ieq
= 2.307 * 10⁻⁴ * 0.266
= 6.15 * 10⁻⁵ m/s .
Also;
K₁i₁ = Keq * ieq = K₂i₂ = K₃i₃
therefore :
i₁ = 0.615
i₂ = 0.123
i₃ = 0.0615
Final step : determine the value of h at the two internal boundariesPressure at point 1 ( i.e. pressure between first two formations )
h₁ = h top - i₁L₁
= 120 - 0.615 * 25
= 104.625 m
Pressure at point 2 ( i.e. pressure between the 2nd and 3rd formation )
h₂ = h₁ - i₂L₂
= 104.625 - 0.123 * 25
= 101.55 m
Therefore we can conclude that The values of h at the two internal boundaries are : h₁ = 104.625 m , h₂ = 101.55 m
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refer to the example above. fill in the proper conditional
1. complete the logical expression to extract all the enteries in the rows with interest less than 12%
2. complete the indexing statment such that only the entries in the second column of annuity table are extracted, as indicated by the logical index array midlntrstldx
Answers
1. Entries in rows with interest less than 12% can be extracted using the logical expression `interest < 12`. 2. To extract entries in the second column of the annuity table indicated by the logical index array `midlntrstldx`, the indexing statement would be `annuity_table(:, 2)`.
What indexing statement can be used to extract the entries in the second column of the annuity table using the logical index array `midlntrstldx`?1. To extract all the entries in the rows with interest less than 12%, you would use a logical expression `interest < 12`. This expression will evaluate to a logical array where each element corresponds to whether the interest value in that row is less than 12. When used as an indexing condition, it will select the rows that satisfy the condition.
2. To extract only the entries in the second column of the annuity table indicated by the logical index array `midlntrstldx`, you would use the indexing statement `annuity_table(:, 2)`.
This notation specifies that you want to select all rows and only the second column of the `annuity_table` matrix. By using the `:` symbol for rows and `2` for the column index, you can extract the desired column of interest. The logical index array `midlntrstldx` is not required in this case.
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A battery with an f.e.m. of 12 V and negligible internal resistance is connected to a resistor of 545 How much energy is dissipated by the resistor in 65 s?
Answers
Answer:
When are resistors in series? Resistors are in series whenever the flow of charge, called the current, must flow through devices sequentially. For example, if current flows through a person holding a screwdriver and into the Earth, then
R
1
in Figure 1(a) could be the resistance of the screwdriver’s shaft,
R
2
the resistance of its handle,
R
3
the person’s body resistance, and
R
4
the resistance of her shoes.
Figure 2 shows resistors in series connected to a voltage source. It seems reasonable that the total resistance is the sum of the individual resistances, considering that the current has to pass through each resistor in sequence. (This fact would be an advantage to a person wishing to avoid an electrical shock, who could reduce the current by wearing high-resistance rubber-soled shoes. It could be a disadvantage if one of the resistances were a faulty high-resistance cord to an appliance that would reduce the operating current.)
Two electrical circuits are compared. The first one has three resistors, R sub one, R sub two, and R sub three, connected in series with a voltage source V to form a closed circuit. The first circuit is equivalent to the second circuit, which has a single resistor R sub s connected to a voltage source V. Both circuits carry a current I, which starts from the positive end of the voltage source and moves in a clockwise direction around the circuit.
Figure 2. Three resistors connected in series to a battery (left) and the equivalent single or series resistance (right).
To verify that resistances in series do indeed add, let us consider the loss of electrical power, called a voltage drop, in each resistor in Figure 2.
According to Ohm’s law, the voltage drop,
V
, across a resistor when a current flows through it is calculated using the equation
V
=
I
R
, where
I
equals the current in amps (A) and
R
is the resistance in ohms
(
Ω
)
. Another way to think of this is that
V
is the voltage necessary to make a current
I
flow through a resistance
R
.
So the voltage drop across
R
1
is
V
1
=
I
R
1
, that across
R
2
is
V
2
=
I
R
2
, and that across
R
3
is
V
3
=
I
R
3
. The sum of these voltages equals the voltage output of the source; that is,
V
=
V
1
+
V
2
+
V
3
.
This equation is based on the conservation of energy and conservation of charge. Electrical potential energy can be described by the equation
P
E
=
q
V
, where
q
is the electric charge and
V
is the voltage. Thus the energy supplied by the source is
q
V
, while that dissipated by the resistors is
q
V
1
+
q
V
2
+
q
V
3
.
Explanation:
technician a says to correct ride height by performing a wheel alignment. technician b says to check for bent suspension components if ride height is incorrect. who is right?
Answers
Technician A is right due to the fact if one facet is exceptional in peak it'll motive a pull. Ride height motive camber and need to be corrected earlier than any alignment adjustments.
To check ride height you could observe those steps:
Park the automobile on stage floor.Roll the automobile ahead and lower back permitting the suspension to relax.Grab your tape degree.Starting on the the front drivers facet wheel, degree from the middle of the wheel to the middle of the fender starting and note.Ride height or floor clearance may be defined as the quantity of area among the bottom of an vehicle tire and the bottom factor of the vehicle (normally the axle); or, greater properly, to the shortest distance among a flat, stage surface, and the bottom a part of a automobile apart from the ones elements designed to touch the floor.
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Answer:
I looked at the comments said oh h e double hockey sticks no
Explanation:
What signal propagation phenomena causes the diffusion, or the reflection in multiple different directions, of a signal?
Answers
In the radio communication system, multipath is the propagation phenomenon that causes diffusion or reflection in multiple different directions of a signal.
Multipath is a propagation mechanism that impacts the propagation of signals in radio communication. Multipath results in the transmission of data to the receiving antenna by two or more paths. Diffusion and reflection are the causes that create multiple paths for the signal to be delivered.
Diffraction occurs when a signal bends around sharp corners; while reflection occurs when a signal impinges on a smooth object. When a signal is received through more than one path because of the diffraction or reflection, it creates phase shifting and interference of the signal.
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Use a function in the appropriate cell to determine the best manufacturing candidate based on minimum cost. Specify an exact match in your function since the values are not sorted. Use a similar formula in the appropriate cell to find the best shipping candidate based on minimum cost.
Answers
This function will return the minimum value in the range of cells A2:A6.
What is Function?Function is a self-contained block of code that is used to perform a particular task in a computer program. It is a set of instructions that can be called upon to perform a specific action. Functions are often used to break up a program into smaller, more manageable pieces that can be reused or combined with other functions to create more complex programs. Functions can also be used to simplify and shorten the length of a program, which makes it easier to read and debug. A function typically takes an input, performs a calculation or some type of action with that input, and then returns the result.
For finding the best manufacturing candidate based on minimum cost, we can use the MIN function. The MIN function returns the smallest numeric value in a set of values.
Syntax: =MIN(number1, [number2], ...)
Example: =MIN(A2:A6)
This function will return the minimum value in the range of cells A2:A6.
For finding the best shipping candidate based on minimum cost, we can use the MIN function in the same way. The syntax and example would be the same as above.
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According to energysage. com a 3 kW solar power system costs $6,571 and has an advertised payback period of 12.11 years (including federal and state incentives, tax credits, and rebates). Assume that the cost savings is equal for each year moving forward and that our required rate of return is 20%. Use each of the methodologies discussed in class to find out if Dr. Brooks should invest in solar panels. Hint: the first step is to calculate the expected annual savings using your knowledge of the payback period. How would this decision change if the appropriate discount rate is 9% ?
Answers
Dr. Brooks should invest in solar panels due to positive returns at a 20% required rate of return, resulting in an annual savings of $542.42. However, a recalculation of the NPV at a 9% discount rate is necessary to assess the investment's continued viability.
First, we calculate the expected annual savings by dividing the initial cost ($6,571) by the payback period (12.11 years), resulting in approximately $542.42 per year.
Next, using the methodology discussed in class, we compare the expected annual savings to the required rate of return of 20%. If the expected annual savings are greater than or equal to the required rate of return, the investment is considered profitable. In this case, $542.42 is less than 20%, so the investment does not meet the required rate of return.
If we change the appropriate discount rate to 9%, we repeat the same comparison. The expected annual savings of $542.42 is still less than 9%, indicating that the investment remains unprofitable even with the lower discount rate.
Based on these calculations, Dr. Brooks should not invest in solar panels under the given conditions, regardless of the discount rate.
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Water flows through a tube with an internal diameter of 45 mm and at a flow rate of 3lit/min at body temperature. a. Calculate the Reynolds number of flow b. Draw the velocity profile of flow along the cross-sectional area of the tube Note: Hand-drawn profiles are not accepted. c. Calculate the shear stress applied on the walls of the tube
Answers
The Reynolds number is approximately 3318, the velocity profile is v(r) = (2 x 0.00005 / π x 0.045²) × [1 - (r/0.045)²], and the shear stress applied on the walls of the tube is approximately 0.0000094 N/m².
The Reynolds number (Re) is calculated using the formula as Re = ρvD/μWhere,ρ = Density of fluidv = Velocity of fluidD = Diameter of tubeμ = Dynamic viscosity of fluid.
Given,Diameter of tube, D = 45 mm = 0.045 mFlow rate, Q = 3 L/min = 0.00005 m³/sDensity of water at body temperature, ρ = 1000 kg/m³Kinematic viscosity of water at body temperature = 0.00000068 m²/sDynamic viscosity, μ = ρv/ReSubstituting the given values in the Reynolds number formula, we getRe = ρvD/μRe = (1000 × 0.00005 × 0.045) / (0.00000068)Re ≈ 3318b.
The velocity profile is given by the formula: v(r) = 2vavg[1 - (r/R)²]Where,vavg = Q/πR² = 4Q/πD²R = D/2 = 0.0225 mPutting the given values in the velocity profile formula we get,v(r) = 2vavg[1 - (r/R)²]v(r) = (2 x 0.00005 / π x 0.045²) × [1 - (r/0.045)²]c. Shear stress is given by the formulaτ = (4μvavg) / Dτ = (4 x 0.00000068 x 0.00015) / 0.045τ ≈ 0.0000094 N/m².
The Reynolds number is approximately 3318.b. The velocity profile is v(r) = (2 x 0.00005 / π x 0.045²) × [1 - (r/0.045)²]c.
The shear stress applied on the walls of the tube is approximately 0.0000094 N/m².Answer more than 100 words:Water flows through a tube with an internal diameter of 45 mm and at a flow rate of 3lit/min at body temperature.
To calculate the Reynolds number of flow, the formula is used. Reynolds number (Re) = ρvD/μ, where ρ is the density of fluid, v is the velocity of fluid, D is the diameter of the tube, and μ is the dynamic viscosity of fluid.
Given the diameter of the tube, D = 45 mm = 0.045 m, the flow rate Q = 3 L/min = 0.00005 m³/s, density of water at body temperature, ρ = 1000 kg/m³, and the kinematic viscosity of water at body temperature is 0.00000068 m²/s. The dynamic viscosity, μ, is calculated as ρv/Re.
Substituting the given values in the Reynolds number formula, we get Re = (1000 × 0.00005 × 0.045) / (0.00000068) ≈ 3318.To draw the velocity profile of flow along the cross-sectional area of the tube, the formula is used as v(r) = 2vavg[1 - (r/R)²]. Where vavg = Q/πR² = 4Q/πD² and R = D/2.
Thus, v(r) = (2 x 0.00005 / π x 0.045²) × [1 - (r/0.045)²].The shear stress applied on the walls of the tube is calculated using the formula τ = (4μvavg) / D. The value of vavg is already calculated, so substituting the values we get, τ = (4 x 0.00000068 x 0.00015) / 0.045 ≈ 0.0000094 N/m².
In conclusion, the Reynolds number is approximately 3318, the velocity profile is v(r) = (2 x 0.00005 / π x 0.045²) × [1 - (r/0.045)²], and the shear stress applied on the walls of the tube is approximately 0.0000094 N/m².
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a 100-ft add steel tape was used to measure a partial baseline distance. the rear surveyor held 100 ft, while the head surveyor held 0.48 ft. what is the distance measured?
Answers
The distance measured using a 100-ft add steel tape was 99.52 ft.
To calculate the distance measured using a 100-ft add steel tape where the rear surveyor held 100 ft, and the head surveyor held 0.48 ft, we can use the following formula: Distance measured = tape length – correction where the correction is equal to [(rear tape length – front tape length) / tape length] × distance between the tapes. Rear tape length is 100 ft and the front tape length is 0.48 ft. Therefore, the tape length is 100 – 0.48 = 99.52 ft. The distance between the tapes is 100 ft. Substituting these values into the formula, we get: Correction = [(100 – 0.48) / 99.52] × 100 = 99.52 ft Distance measured = 100 – 99.52 = 0.48 ft Therefore, the distance measured is 99.52 ft.
A flexible ruler used to measure distance is a steel measuring tape. It consists of a linear-measurement metal blade. Steel tape is designed to withstand more wear and tear than fiberglass tape, so you can get accurate results at any temperature.
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when an ideal gas undergoes an isothermal expansion or compression process, the boundary work can be calculated using all of the below equations except for which of following? p1v1ln(v2/v1) nrt ln(v2/v1) p1v1ln(p1/p2) mrtln(p2/p1)
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The temperature of the system remains unchanged during expansion. There is heat exchange between both the system and the environment during the process. The system should be compressed or expanded at a slow pace so that the system allows appropriate heat exchange and keep the temperature constant.
The P-V curve in an isothermal process where:
PV = constant = C
⇒ dP / dV = – P / V
Work done in the isothermal process:
In this process, the gas follows Boyle’s law, and the work done by the gas is,
\(W = nRTln(\frac{V_2}{V_1} )\)
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kam
How much time in education is needed
if you desire to eventually run a
research laboratory in science?
A. 2 years
B. 4 years
C. 7 years
D. 10 years