which leads to a balanced tree and hence a minimum height OBST.
What is the OPTIMAL-BST procedure used for?To force the OPTIMAL-BST procedure to produce an OBST of minimum height from given success keys, we can modify the calculation of the cost array e and the root array.
First, let's define the height of an OBST as the maximum number of edges from the root to any leaf node. We want to minimize this height.
To achieve this, we need to ensure that the subtrees rooted at each node have approximately equal numbers of keys. This can be done by choosing the root of each subtree to be the key with the median rank in the range of keys. The median rank can be calculated as follows:
Sort the keys in ascending order.If the number of keys is odd, the median rank is the index of the middle key.If the number of keys is even, the median rank is the average of the indices of the two middle keys.Now, we can modify the calculation of the cost array e and the root array as follows:
In the initialization step, set e[i, i-1] = 0 and w[i, i-1] = 0 for all i from 1 to n+1.For each range of keys [i, j], calculate the median rank r.For each r in the range [i, j], calculate the cost t = e[i, r-1] + e[r+1, j] + w[i, j].Set e[i, j] to the minimum of all costs calculated in step 3.Set root[i, j] to the value of r that achieved the minimum cost in step 4.The modification ensures that the root of each subtree is chosen to be the key with the median rank in the range, which results in approximately equal numbers of keys in each subtree. This, in turn, ensures that the height of the OBST is minimized.
To prove that this modification produces an OBST of minimum height, we can use the optimality principle of dynamic programming. The principle states that a solution is optimal if it consists of optimal solutions to subproblems. In this case, the subproblem is to find the optimal subtree rooted at each key.
By choosing the root of each subtree to be the key with the median rank in the range, we ensure that the number of keys in each subtree is approximately equal, which leads to a balanced tree and hence a minimum height OBST. Therefore, the modification produces an OBST of minimum height.
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Draw the schematics for the following two battery connections. Can you explain the value of the output voltage in the series connection
if two 1.5 ya alt batteries are connected to head to the tail the voltage is 3.0 volt it is the because the battery is insidious reduce a voltage equal to number of battery is multiplied by the voltage of individual
_____require(s) driving at speeds that are reasonable and prudent for conditions.
Basic speed law requires individuals driving at speeds that are reasonable and prudent for conditions.
What is Speed?This is defined as the rate of change of the position of a body with respect to time and the unit is metre per second.
The basic speed law states that speeds which are reasonable and prudent should be adopted by drivers so as to avoid accidents and potential risks to other road users. Appropriate punishment are also meted out to defaulters in this type of scenario.
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Write a class having two private variables and one-member function which will return the area of the rectangle.
Using the knowledge in computational language in C++ it is possible to write the code being write a class having two private variables
Writting the code in C++:#include <iostream>
using namespace std;
class Rectangle { /*create a class named Rectangle*/
private:
float l,b; /*this class has two private variables l and b*/
public:
float getArea(float l, float b) /*this class has one member-function getArea which returns the area of the rectangle*/
{
return l*b; /*return the area of the rectangle*/
}
};
int main () { /*the main function to check the working of our Rectangle class*/
float l,b;
Rectangle r1; /*create an object r1 of Rectangle class*/
cout<<"Enter the length of the rectangle: ";
cin>>l; /*input the length of the rectangle from the user*/
cout<<"Enter the breadth of the rectangle: ";
cin>>b; /*input the breadth of the rectangle from the user*/
cout <<"Area of the rectangle is: "<< r1.getArea(l,b)<<" square units."; /*find the area of the rectangle using the member function of the class*/
return 0;
}
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An important difference between expressways and freeways is that expressways feature intersections, whereas freeways use: a) interchanges b) medians c) rumble strips d) green guide signs
An important difference between expressways and freeways is that expressways feature intersections, whereas freeways use a) interchanges.
what is the basic concept of the finite element method.
Answer:
The FEM is a general numerical method for solving partial differential equations in two or three space variables (i.e., some boundary value problems). To solve a problem, the FEM subdivides a large system into smaller, simpler parts that are called finite elements.
Determine the carburizing time necessary to achieve a carbon concentration of 0.30 wt.% at a position of 4 mm into an iron-carbon alloy that initially contains 0.10 wt.% C. The surface concentration is to be maintained at 0.90 wt.% C, and the treatment is to be conducted at C. Use the diffusion data for -Fe in Table 5.2
The carburizing time necessary to achieve a carbon concentration is 31.35 hours
How to find the Carburizing Time?To determine the carburizing time necessary to achieve the given carbon concentration, we will use the equation:
(Cs - Cx)/(Cs - C0) = ERF(x/2√Dt)
where;
Cs is Concentration of carbon at surface = 0.90
Cx is Concentration of carbon at distance x = 0.30
Distance x = 4 mm = 0.004 m
C0 is Initial concentration of carbon = 0.10
ERF() = Error function at the given value
D = Diffusion of Carbon into steel
t = Time necessary to achieve given carbon concentration ,
Thus, plugging in the relevant values gives;
(Cs - Cx)/(Cs - C0) = (0.9 - 0.3)/(0.9 - 0.1)
= 0.6/0.8 = 0.75
now, ERF(z) = 0.75 and as such using ERF table, we can say that;
Z = 0.814. Thus;
(x/2√Dt) = 0.81
Using the table of diffusion data, we have;
At a temperature of (1100°C) or 1373 K, we have;
D = 5.35 × 10⁻¹¹ m²/sec.
Calculating the carbonizing time by using the equation z = (x/2√Dt);
where;
t is carbonizing time
Thus;
0.814 = (0.004/(2 × √5.35 × 10⁻¹¹ × √t))
0.814 = 0.004 /(1.4628 × 10⁻⁵ × √t)
0.814 × 1.4628 × 10⁻⁵ × √t = 0.004
1.19072 × 10⁻⁵ × √t = 0.004
√t = 0.004/(1.19072 × 10⁻⁵)
√t = 335.93
t = 112848.96 seconds
Converting to hours gives;
t = 112848.96/3600
t = 31.35 hours
Therefore, the carburizing time necessary to achieve a carbon concentration is 31.35 hours
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The lights on your vehicle must be turned on at any time, day or night, when persons and vehicles cannot be clearly seen for ___ feet.
Answer:
500 feetExplanation:
In order to stop or turn your vehicle around on the highway you must have 500 feet of clear road in both directions. 4. Headlights are required at any time you cannot see persons or vehicles for 500 feet, due to snow, dust, fog, etc. and from ½ after sunset to ½ before sunrise.Hope this helpsThe lights on your vehicle must be turned on at any time, day or night, when persons and vehicles cannot be clearly seen for 1000 feet.
What are vehicles?A vehicle is a piece of equipment, typically with wheels and an engine, used for land-based transportation of people or goods. Cars, buses, and trucks are examples of road vehicles. Farm vehicles include tractors.
Vehicle type refers to a group of power-driven vehicles that share all crucial aspects of their engines, cars, and OBD systems.
When a vehicle is 500 feet away, the driver must dim his headlights.
Avoid looking directly into the light when a car is coming at you; instead, slow down. At least 30 minutes before dusk, headlights must be activated. It is also important to keep in mind that a lower headlight beam improves the driver's ability to see in fog.
Thus, it should be 1000 feet distance.
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If a dielectric material, such as teflon®, is placed between the plates of a parallel-plate capacitor without altering the structure of the capacitor, how is the capacitance affected?.
The capacitance is affected is that the capacitance increases because of the insertion of Teflon.
What is capacitance?A `is known to be a form of a device that is said to be used to save some amount of charges in any electrical circuit.
Note that the capacitor functions on the principle that the capacitance of a conductor is said to increases if an earthed conductor is taken close to it.
Hence, The capacitance is affected is that the capacitance increases because of the insertion of Teflon.
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A dielectric material, such as Teflon®, is placed between the plates of a parallel-plate capacitor without altering the structure of the capacitor. The charge on the capacitor is held fixed. How is the electric field between the plates of the capacitor affected?
The electric field is not altered, because the structure remains unchanged.
The electric field becomes zero after the insertion of the Teflon®.
The electric field decreases because of the insertion of the Teflon®.
The electric field becomes infinite because of the insertion of the Teflon®.
The electric field increases because of the insertion of the Teflon®.
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The advantage of using a reference line to position a building is that
Answer:
The reference line helps you achieve the precise connection of Walls for clean intersections.
Explanation:
Reference Lines allow you to place lines on the plot at specific locations to mark important values. You could use these to mark control limits or to indicate a trend line for a set of data.
A company is currently paying its employees $0.38 per mile to drive their own cars on company business. The company is considering supplying employees with cars, which would involve purchasing at $25,000 with an estimated three-year life, a net salvage value of $8,000, taxes and insurance at a cost of $900 per year, and operating and maintenance expenses of $0.22 per mile. If the interest rate is 10% and the company anticipates an employee’s annual travel to be 22,000 miles, what is the equivalent cost per mile (neglecting income taxes)?
The equivalent cost per mile is mathematically given as
Equivalent kilometer = 0.61
What is Distance?Distance is a measure of the distance between two places. Depending on context, the term "distance" might refer to a precise measurement or an approximation based on other factors. |AB| can be used to represent the distance between two points.
What is an Equivalent cost per mile?Generally, the equation for Equivalent annual cost is mathematically given as
EAC= $ 25,000 ( A/P, 10% , 3 years ) + $ 900 + $ 0.22 * 22,000 - $ 8000 ( A/F , 10% , 3 years)
Therefore
EAC= $ 25,000 * 0.402115 + $ 5740 - $ 8000 * 0.302115
EAC= $ 13,375.955
In conclusion, the Equivalent cost per kilometer
Equivalent kilometer [tex]=\frac{ 13,375.955}{22,000}[/tex]
Equivalent kilometer = 0.61
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Assignment: Explain any three
ways that research can facilitate
the work of building technicians.
The three ways that research can facilitate the work of building technicians is that:
They will know the timeframe to start and complete the buildingThey will know the type and right materials to use.It will help them in the area of budgeting of equipment, tools and building materials needed.What do building technicians do?Building technicians are known to be people who help with some tasks around construction projects and building works.
Note that building technician overseeing a scope of tasks such as monitoring build progress and as such The three ways that research can facilitate the work of building technicians is that:
They will know the timeframe to start and complete the buildingThey will know the type and right materials to use.It will help them in the area of budgeting of equipment, tools and building materials needed.Learn more about technicians from
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A light weight vehicle traveling 50 mph can stop in approximately
a. 200 meters.
b. 5 blocks.
c. 200 feet.
d. 6 seconds.
A light weight vehicle traveling 50 mph can stop in approximately 200 feet.
How a car break works?
The break system of a car is composed by several items that are always working together to slow down and bring a vehicle to a complete stop. It also has the function of keeping the car stationary when it is parked. In general, this system has two manual activation modes: the lever and the pedal, with the exception of vehicles adapted for people with disabilities.
Most vehicles today use the disc brake system. Disc brakes work by using pads, which are held inside a hydraulic caliper, receiving pressure to brake. Such pads generate friction on a disc, which makes the vehicle stop permanently.
The drum brake is another type, being older and dependent on the famous linings to cause friction in the wheel and stop the vehicle. A hydraulic cylinder makes the plies move inside the drum, which is a hollow part fastened with screws and attached to the wheels. This type of brake is on the rear wheels, for the most common models.
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Which two events in britain indirectly influenced the american revolution?
enlightenment philosophers established which two of the following ideas?
Answer:
passage of the English will of right
If your crew is the first to arrive on the scene of a major mci, what will be a major aspect of your scene size-up?
If your crew is the first to arrive on the scene of a major MCL, The major aspect of your scene size-up will be to Make a sweep to determine what needs must be met. Option D. This is further explained below.
What is the scene of an MCL?Generally, If your team is the first to arrive at the scene of a significant MCL, the most important part of your scene size-up will be to do a sweep to identify the requirements that need to be satisfied. Choose option D.
In conclusion, A medial collateral ligament (MCL) injury occurs when the ligament on the inside of the knee is stretched, partially torn, or completely ruptured. Most knee injuries are caused by an excessive amount of valgus stress on the knee, which is one of the most prevalent.
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CQ
If your crew is the first to arrive on the scene of a major MCI, what will be a major aspect of your scene size-up?
A.
Make an initial scene report to the communications center.
B.
Control on-scene communication as help arrives.
C.
Prevent uncoordinated or undirected activity at the scene.
D.
Make a sweep to determine what needs must be met.
When referring to private land use restrictions, fence height, additional structures, and architectural design are generally categorized under ______.
The fence height, additional structures, and architectural design are generally categorized under covenants.
What is the land use about?The primary private land-use control is known to be a form of a deed restrictions, that hinders what a person can do on the property as regards to the owner.
Note that in the case above, the fence height, additional structures, and architectural design are generally categorized under covenants.
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The displacement of a particle which moves along the s-axis is given by; = (−2 + 3)−0.5 Where s is in meters and t is in seconds. Determine the time at which the acceleration is zero.
The time at which the acceleration is zero is given as 4.66 seconds
How to solve for the timeFirst we have to solve for the velocity. To do this, we would have to take the derivative.
[tex]s = e^-0.5t (3 t - 2)[/tex]
Then velocity =
[tex]ds/dt = e^-0.5t (4 - 1.5 t)[/tex]
The acceleration can be gotten by finding the second derivative
[tex]a = dv/dt = e^-0.5t (.75 t - 3.5)[/tex]
To find t at acceleration = 0
We have
[tex]0 = e^-0.5t (.75t - 3.5)[/tex]
This gives t to be
t = 4.66 sec
Complete questionThe displacement of a particle which moves along the s-axis isgiven by
s = (-2+3t)e^(-0.5t), where s is in meters and t is inseconds. Plot the displacement, velocity and acceleration versustime for the first 20 seconds of motion. Determine the time atwhich the acceleration is zero.
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based on the graph shown, for any given output level, the veritcal distance between the avc and the atc curves represents
A a result of the graph shown, for any given output level, the veritcal distance between the avc and the atc curves represents total fixed cost (TFC).
What is Vertical distance?This is known as vertical separation and it is said to be the distance that exist between two vertical positions.
Note that vertical coordinates are seen for expressing vertical position: depth, and others and as such,
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The vertical distance between the ATC and AVC curve represents
a) marginal cost (MC)
b) average fixed cost (AFC)
c) total fixed cost (TFC)
d) total cost (TC) - total variable cost (TVC)
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P=3000W
f1=0.9
f2=0.5
A=15mm2
travel speed=?
The Travel Speed at which the welding operation can be accomplished is given as 7.147mm/s. See the computation below.
What is travel speed?The travel speed of the welding flame or gun across the workpiece is simply measured in millimeters per minute.
Travel speed, along with voltage and amperage, is one of three factors in arc welding that affect the amount of heat input.
What is the calculation that justifies the above answer is?We are given the following:
Melting temperature = 1650 K
k = (3.33 * 10⁻⁶) * (1,650)²
k = 9.066 J/mm^3
The formula for velocity here is given as:
V = f1 * f2 * Rh / (k*A)
V = 0.9 * 0.6 * 3000 / (9.066*25)
V = 7.147 mm/s
Hence, the Travel Speed at which the welding operation can be accomplished is given as 7.147mm/s.
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If extension done in a stork position, during backward bending in a standing position of a special test for lumbar spine, produces pain in the lumbar or sacral regions of the spine, it may indicate _____.
Which load balancing method is supported in equal cost multipath (ECMP) load balancing when SD-WAN is enabled
Volume load balancing method is supported in equal cost multipath (ECMP) load balancing when SD-WAN is enabled.
What is load balancing method?Load balancing means are regarded as a form of an algorithms or method that is used to rightly share an incoming server request or traffic in the midst or among servers that is from the server pool.
Note that Volume load balancing method is supported in equal cost multipath (ECMP) load balancing when SD-WAN is enabled as that is its role.
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What is the mode of operation of a ramp digital voltimeter
Answer:
The operating principle of a ramp type digital voltmeter is to measure the time that a linear ramp voltage takes to change from level of input voltage to zero voltage (or vice versa).
Through Engineering, human achievement continues to advance. Write about your favorite example of engineering in action and what impresses you about it from an Engineering standpoint.
Hydroelectric power plants are outstanding engineering devices that allow people to obtain energy from renewable sources.
What is a hydroelectric power plant?A hydroelectric power plant is a center for the production of electricity based on hydropower energy systems.
Hydroelectric power plants exploit the energy of water masses (e.g., a stream) to produce clean energy for million of people around the world.
These plants have generators capable of converting mechanical energy into electricity by using simple turbines.
In conclusion, hydroelectric power plants are outstanding engineering devices that allow people to obtain energy from renewable sources.
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A spark-ignition engine operates on an Otto cycle with a compression ratio of 9 and temperature limits of 30°C and 1000oC. The power output is 500 kW. Calculate the
a)thermal efficiency
b) mass flux of air
The thermal energy when the spark-ignition engine operates on an Otto cycle with a compression ratio of 9 and temperature limits of 30°C and 1000oC is 58%.
How to illustrate the information?From the information given, we are told that spark-ignition engine operates on an Otto cycle with a compression ratio of 9 and temperature limits of 30°C and 1000oC.
The thermal energy will be:
= 1 - 1/(1.4 - 1)
= 0.58
= 58%
Also, the mass flux of air will be illustrated below:
T2 = 729.70k
W = 224.60kj
Therefore, the mass flux will be:
= 500/224.60
= 2.226kg/s
In conclusion, the the mass flux will be 2.226kg/s.
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The only difference between all GMA welding machines and some FCA welding machines is that all GMA welding machines must have a ______________.
Answer: Shielding gas solenoid
Explanation:
When passing another car, make sure you maintain at least a _______ safety cushion
An inverter has a balanced 3-phase, 277/480 V output and is installed a distance, d, ft from the point of utility connection. The DC/AC converter shown below in the inverter. And the distance d is the physical separation between this DC/AC converter and the PCC. (
An expression for the voltage drop between inverter and PUC
[tex]V D \rightarrow \frac{I(\Omega / k f t) d}{2770}$[/tex]
This is further explained below.
What is an expression for the voltage drop between the inverter and PUC?Generally, the equation for Voltage drop is mathematically given as
[tex]V=\frac{I R}{V}[/tex]
Therefore
[tex]\%$ Voltage drop $=\frac{I R}{V} * 100\\\\$\rightarrow \frac{100 I(\Omega / 15 f t) d}{1000 V_{p}}\\\\$V_{P}=277 \mathrm{~V}$[/tex]
[tex]V D=\frac{I(\Omega / \mathrm{kft}) d}{10 * 2770} \rightarrow \frac{I(\Omega / \mathrm{kft}) d}{2770} \mathrm{~V}\\\\$\% V D \rightarrow \frac{I(\Omega / k f t) d}{2770}$[/tex]
In conclusion, the expression for the voltage drop between inverter and PUC
[tex]V D \rightarrow \frac{I(\Omega / k f t) d}{2770}$[/tex]
CQ
An inverter has a balanced 3-phase, 277/480 V output and is installed a distance, d, ft from the point of utility connection. The DC/AC converter is shown below in the inverter. And the distance d is the physical separation between this DC/AC converter and the PCC.
Derive an expression for the voltage drop between inverter and PUC in terms of d using the basic equation %VD =100IR/V.
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a. Calculate the equivalent resistance of the circuit
Answer:
no any think photo.
Explanation:
In 2001, a land-development company launched an engineering project on land adjacent to a protected wetlands area
The statement that summarizes the data is that the population data should be collected over a much lingers period of time in order to draw a valid conclusion.
What is data?It should be noted that data simply means the facts or statistics that are put together to get more information about a particular issue.
It should be noted that a project simony refers to an individual or collaborative enterprise which is planned in order to achieve a particular aim. In this case, the land-development company launched an engineering project on land adjacent to a protected wetlands area.
It should be noted that the time frame that the data was collected matters a lot in order to get a valid conclusion.
In this case, the statement that summarizes the data is that the population data should be collected over a much lingers period of time in order to draw a valid conclusion.
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The options to the question:
a. The data Gail to represent a broad diversity of species and so do not provide enough information to adequately draw a conclusion.
b. Population data were not sampled frequently enough to draw a valid conclusion.
c. The data show stable population trends in native species providing evidence that the engineering project has no negative impact on the ecosystem.
d. The population data should be collected over a much lingers period of time in order to draw a valid conclusion.
How are new slip rings attached to the rotor core during alternator rebuilding?
The new slip rings is been attached to the rotor core during alternator rebuilding by b. Soldered on.
What is the process of Soldering ?Soldering is the use of Solder which is a metal alloy consisting tin and lead and is the way of joining different types of metals together by melting solder.
This is been used on new slip rings to get it attached to the rotor core during alternator rebuilding .
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CHECK THE COMPLETE QUESTION BELOW:
How are new slip rings attached to the rotor core during alternator rebuilding?
a. Machine clamped
b. Soldered on
c. Crimped on
d. epoxy glue
Datums and benchmarks are used for ______
Answer:
Measuring elevations
Explanation:
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