The management of CDC Construction Pioneers have decided to build 900 new apartments in the Kasoa area due to the influx of immigrant workers into the country. Two Architectural Companies have provided building plans and technical schematics for the project. Management are happy with the proposals of both Standard apartment and Deluxe apartment. After investigating the steps involved in construction, management determined that each apartment complex built will require some resources. Management analysed each of the bids and concluded that if the plans of Standard apartment are built, it requires 0.7 days in foundation works, 0.5 days in the masonry, 1 day in finishing, and 0.1 days in painting works. Deluxe apartment will require 1 day in foundation works, 0.83 days in the masonry, 0.67 days in finishing, and 0.25 days in the painting works. Management estimate that, 630 days for foundation works, 600 days for masonry, 708 days for finishing and 135 days for 11 painting works will be available to build the apartments. The company accountant assigned all relevant variable costs and arrived at a rent that will result in a daily profit contribution of Gh¢ 10 for every Standard apartment and Gh¢ 9 for every Deluxe apartment built. Management wants to know how many Standard apartments and Deluxe apartments to construct a) Express the decision variables for this problem and formulate a linear programming model for this problem. b) The model was solved using solver and part of the results is provided in the Table below. Use it to answer the questions that follow Variable Cells Final Reduced Objecti ve Allowabl e Allowabl e Cell Name Value Cost Coeffici ent Increase Decrease $B$ 9 Std. apt 539.9999 842 0 10 3.499999 325 3.7 $B$ 10 Deluxe apt 252.0000 11 0 9 5.285714 286 2.333333 Constraints Final Shadow Constra Allowabl Allowabl Major Topic Sensitivity Analysis Blooms Designation EV Score 7 12 int e e Cell Name Value Price R.H. Side Increase Decrease $E$ 4 Foundati on Usage 630 4.374999 566 630 52.36363 159 134.4 $E$ 5 Masonry Usage 479.9999 929 0 600 1E+30 120.0000 071 $E$ 6 Finishing Usage 708 6.937500 304 708 192 127.9999 86 $E$ 7 Painting Usage 117.0000 012 0 135 1E+30 17.99999 882 (i) What is the optimal solution to this problem? (ii) What is the corresponding value of the objective function? (iii) Why does the reduced cost column contain zeros? C) (i) If the unit contribution margin on daily Delux apartment was GH¢ 11 instead of GH¢ 9, how would that affect the optimal solution (iii) If management of CDC could obtain additional resources, which one would you advice to be of most value to them and why? (iv) Which constraints is/are binding Major Topic Sensitivity Analysis Blooms Designation AN Score 6 Major Topic Blooms Designation
Answers
The problem involves deciding the number of Standard and Deluxe apartments to construct in order to maximize profit. The decision variables are the number of Standard apartments and Deluxe apartments to build.
The linear programming model is formulated based on the available resources, construction times, and profit contributions of each apartment type. Solver was used to solve the model and the results indicate the optimal solution, corresponding objective function value, reduced cost column containing zeros, and sensitivity analysis.
(i) The optimal solution to the problem is to construct approximately 540 Standard apartments and 252 Deluxe apartments.
(ii) The corresponding value of the objective function is GH¢ 8,420, which represents the maximum daily profit contribution.
(iii) The reduced cost column contains zeros because all the variables in the current optimal solution have non-negative reduced costs, indicating that the solution is optimal and there is no potential for further improvement by changing the values of the decision variables.
(iv) If the unit contribution margin on daily Deluxe apartments was increased from GH¢ 9 to GH¢ 11, it would likely lead to an increase in the optimal solution for Deluxe apartments. This change would affect the objective function value, resulting in a higher daily profit contribution.
(v) If management could obtain additional resources, it would be most valuable to focus on increasing the availability of masonry resources. This is because the masonry constraint has the highest shadow price, indicating that additional resources in this area would have the most impact on the objective function value and profit.
(vi) The constraints that are binding, or limiting the optimal solution, are the foundation usage constraint and the finishing usage constraint. These constraints have a slack value of zero, indicating that the available resources for foundation works and finishing are fully utilized. Increasing the availability of these resources could lead to an increase in the optimal solution and profit.
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Related Questions
Determine numerical values for each of the three mesh currents as labeled in
the circuit diagram of Fig. 4.58.
Answers
The numerical values for the mesh currents that we have in the question are given as:
1i = 0.9892 = 0.9892 amperei2 = 0.1501 amperei3 = 0.1570 ampereHow to solve for the values of the mesh currentWe first have to write the KVL
2 - 1(i₁ - i₂) + 3 - 5(i₁ - i₃) = 0
We have to expand the equation that we have above
2 - i₁ + i₂ + 3 - 5i₁ + 5i₃ = 0
take like terms
-i₁ - 5i₁ i₂ + 5i₃ = 5
= 6i₁ - i₂ - 5i₃ = 5
-1(i₂ - i₁) - 6 i₂ - 9(i₃ - i2) = 0
after expanding we would have
i₁ - 16i₂ + 9i₃ = 0------- equation 2
-5 (i3 - i1) - 3 - 9(i3 - i2) - 7i3 = 0
5i1 + 9i2 - 2i3 = 3 ------ equation 3
From the equations that we have in 1, 2 and 3, we would solve the system of equations to get
1i = 0.9892 = 0.9892 ampere
i2 = 0.1501 ampere
i3 = 0.1570 ampere
These are the mesh current that are in the labeled diagram.
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What is the back work ratio? What are typical back work ratio values for gas-turbine engines?
Answers
Answer: Between 0.4 to 0.6
Explanation: Hope this helps
An idealized velocity field is given by the formula V = 4txi - 2t²yj + 4xzk Is this flow field steady or unsteady? Is it two or three dimensional? At the point (x, y, z) = (-1, 1, 0), compute (a) the acceleration vector and (b) any unit vector normal to the acceleration.
Answers
(A) The presence of time t stated in the components causes the flow to be unstable.
(b) Because none of the three velocity components are 0, the flow is three-dimensional.
(c) The acceleration vector is \(\frac{dV}{dt} = -4(1 + 4t^2)i - 4t(1 - t^3)j + 0k\).
(d) Any one of the unit vectors normal to the acceleration is k.
What is an acceleration vector?
The velocity change rate is referred to as the average acceleration vector. It is moving in the v-direction of velocity change. As t approaches 0, the average acceleration can only go as far as the instantaneous acceleration.
Solution Explained for (c):
(c) Evaluate, by laborious differentiation, the acceleration vector at
(x, y, z) =(-1, +1, 0).
\(\frac{dU}{dt} = \frac{\alpha u}{\alpha t} + u \frac{\alpha u}{\alpha x} + v \frac{\alpha u}{\alpha y} + w \frac{\alpha u}{\alpha z} = 4x + 4tx(4t) - 2t^2y(0) + 4xz(0) = 4x + 16t^2x\)
\(\frac{dv}{dt} = \frac{\alpha v}{\alpha t} + u \frac{\alpha v}{\alpha x} + v \frac{\alpha v}{\alpha y} + w \frac{\alpha v}{\alpha z} = 4ty + 4tx(0) - 2t^2y(-2t^2) + 4xz(0) = -4ty + 4t^4y\)
\(\frac{dw}{dt} = \frac{\alpha w}{\alpha t} + u \frac{\alpha w}{\alpha x} + v \frac{\alpha w}{\alpha y} + w \frac{\alpha w}{\alpha z} = 0 + 4tx(4z) - 2t^2y(0) + 4xz(4x) = 16txz + 16x^2z\)
or, \(\frac{dV}{dt} = (4x + 16t^2x)i + (-4ty + 4t^4y)j + (16txz + 16x^2z)\)
at (x, y, z) = (-1, +1, 0), we obtain \(\frac{dV}{dt} = -4(1 + 4t^2)i - 4t(1 - t^3)j + 0k\)
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In crow's foot style E-R diagrams, a hash mark across the relationship line near an entity indicates ________.
A. a maximum cardinality of optional
B. a minimum cardinality of mandatory and a maximum cardinality of one
C. a maximum cardinality of mandatory and a minimum cardinality of one
D. a minimum cardinality of optional
E. a maximum cardinality of many
Answers
In crow's foot style E-R diagrams, a hash mark (#) across the relationship line near an entity indicates a minimum cardinality of mandatory and a maximum cardinality of one (option B).
What is the crow's foot notation?The crow's foot notation is a graphical representation used in E-R diagrams to represent the cardinality of the relationships between entities.
In this notation, an entity is represented as a rectangle, and a relationship is represented as a line connecting two entities.
The crow's foot notation uses various symbols to represent the cardinality of the relationship, including a hash mark (#).
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10 litres of an ideal gas at 27°C and 12atm pressure is isothermally and reversibly expanded to a final pressure of 3atm.Calculate the work done
Answers
Known :
V1 = 10 L
T1 = 27°C
P1 = 12 atm
P2 = 3 atm
Solution :
Work done in the process
W = P1 • V1 ln (P1 / P2)
W = (12 atm) • (10 L) ln (12 / 3)
W = 166.35 L • atm
W = 168.55 kJ
need urgent help!!
Determine the point(s) P on the line e with equation x−6 = ( y−3)/4 = ( 1−z)/3
for which the line connecting P with Q(2, −6, 5) is perpendicular to e.
Answers
The quartiles divide a set of observations into four portions, each representing 25% of the observations, together with the minimum and maximum values of the data set. The interquartile range, a measurement of variation around the median, is calculated using quartiles.
How are quartiles determined?In order to quartile a set of data with n items (numbers), we choose the n/4th, n/2nd, and n/4th items. Interpolation between the adjacent items is used if indexes n/4, n/2, or 3n/4 are not integers.For instance, the first quartile Q1 of ordered data is the 25th item, the second quartile Q2 is the 50th item, and the third quartile Q3 is the 75th item. The fourth quartile Q4 would be the highest item of data, and the zeroth quartile Q0 would be the minimum item; however, these extreme quartiles are referred to as the minimum and maximum of a set, respectively.Calculation:Statistical file: {2, -6, 5}
Quartile Q1: -6
Quartile Q2: 2
Quartile Q3: 5.
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characteristics of 3 types of soil
Answers
fertile, infertile and corroded soil
Technicians are normally paid in all of the following methods except:
Answers
Answer:
you didnt list the following methods
Explanation:
Answer: add your methods
Explanation:
As the impurity concentration in solid solution of a metal is increased, the tensile strength:________.a) decreasesb) increasesc) remains unchanged
Answers
Answer:
Increases
Explanation:
By inhibiting the motion of dislocations by impurities in a solid solutions, is a strengthening mechanism. In solid solutions it is atomic level strengthening resulting from resistance to dislocation motion. Hence, the strength of the alloys can differ with respect to the precipitate's property. Example, the precipitate is stronger (ability to an obstacle to the dislocation motion) than the matrix and it shows an improvement of strength.
4. A cylindrical specimen of a brass alloy 7.5 mm in diameter and 90.0 mm long is pulled in tension with a force of 6000 N; the force is subsequently released. a. Compute the final length of the specimen. b. Compute the final specimen length with the load is increased to 16,500 N and then released.
Answers
The elastic properties of the brass specimen enables it to return to its
original length when stressed below the yield strength.
The correct responses are;
4. a. The final length is 90.0 m.
b. The final length is 97.2 mm.
Reasons:
a. Diameter of the brass alloy = 7.5 mm
Length of the specimen = 90.0 mm
Force applied = 6000 N
The equation for the applied stress, σ, is presented as follows;
\(\sigma = \dfrac{Force \ applied}{Area \ of \ specimen} = \dfrac{6000 \, N}{\pi \cdot \left(\dfrac{7.5 \times 10^{-3}}{2} \, m} \right)^2 } \approx 135.81 \ \mathrm{MPA}\)
Depending on the cold working condition, 135.81 MPa is below the yield
strength, and the brass will return to its original condition when the force is
removed. The final length is remains as 90.0 m.
b. When the applied force is F = 16,500 N, we have;
\(\sigma = \dfrac{16,500\, N}{\pi \cdot \left(\dfrac{7.5 \times 10^{-3}}{2} \, m} \right)^2 } \approx 373.48\ \mathrm{MPA}\)
The stress found for the force of 16,500 N is above the yield stress of
brass, and it is therefore, in the plastic region.
From the stress strain curve, the strain can be estimated by drawing a line
from the point of the 373.48 MP on the stress strain curve, parallel to the
elastic region to intersect the strain axis, which gives a value of strain
approximately, ε = 0.08.
The length of the specimen is given by the formula; \(l_i = l_0 \cdot (1 + \epsilon)\)
Therefore;
\(l_i\) = 90 × (1 + 0.08) = 97.2
The final length of the specimen, \(l_i\) = 97.2 mm
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Air is a....
O Solid
O Liquid
O Gas
O Plasma
Answers
Answer:
Air is a gas
Explanation:
i think. beavuse it cant be a liqued or a solid. i dont think a plasma. i would answer gas
the term applied to the chemistry of the body
Answers
Answer:
Biochemistry
Explanation:
Hope this helps :)
Answer:
Biochemistry
Have an amazing day!
The standard procedure for dimensioning the location of a house on a site is to dimension ____ of the house from adjacent lot lines. A one side b two sides c two corners d one corner
Answers
Answer:
One corner ( D )
Explanation:
when dimensioning the location of a house on site the standard and the acceptable procedure is to ; Dimension One corner of the house
Adjacent lots is a term used to describe parcels of the site that meet each other along their boundary lines. and they also include parcels that may be separated by streets
non-BIBO are never used in practice. True/false
Answers
A steam power plant with a power output of 230 MW consumes coal at a rate of 60 tons/h. If the heating value of the coal is 30,000 kJ/kg, determine the overall efficiency of this plant.
Answers
Answer:
\(\eta =46\%\)
Explanation:
Hello!
In this case, we compute the heat output from coal, given its heating value and the mass flow:
\(Q_H=60\frac{tons}{h}*\frac{1000kg}{1ton}*\frac{1h}{3600s}*\frac{30,000kJ}{kg}\\\\Q_H=500,000\frac{kJ}{s}*\frac{1MJ}{1000J} =500MW\)
Next, since the work done by the power plant is 230 MW, we compute the efficiency as shown below:
\(\eta =\frac{230MW}{500MW}*100\% \\\\\eta =46\%\)
Best regards!
suppose that a large influx of electric scooter rentals in a crowded downtown area results in a lot of new riders on the streets. for their safety, the mayor of the city decides to enact a law requiring helmets when renting scooters. these new helmets reportedly decrease the probability of injury by 29% in the event of a scooter crash.
Answers
The mayor's decision to enact a law requiring helmets for electric scooter riders in a crowded downtown area is aimed at improving safety, Helmets have been shown to reduce the likelihood of injury by 29% in the event of a scooter crash.
How helmet protects in a crash?
Helmets protect in a crash by absorbing the impact energy and reducing the risk of head injury. The foam inside a helmet deforms upon impact and spreads the force over a larger surface area, reducing the amount of energy that is transferred to the head and reducing the risk of injury.
Additionally, helmets also protect the face, jaw, and chin, reducing the risk of facial injuries in a crash.
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A gold vault has 3 locks with a key for each lock. Key A is owned by the
manager whilst Key B and C are in the custody of the senior bank teller
and the trainee bank teller respectively. In order to open the vault door at
least two people must insert their keys into the assigned locks at the same
time. The trainee bank teller can only open the vault when the bank
manager is present in the opening.
i) Determine the truth table for such a digital locking system (4 marks)
ii) Derive and minimize the SOP expression for the digital locking system
Answers
Answer:
see the attached truth tableOpens = AB + ACExplanation:
i) In the attached truth table, TRUE means the respective key owner is present and their keys are inserted at the same time. The "Opens" column is TRUE when two owners are present, not including the case where the only two owners present are B and C.
__
ii) The second attachment is a Karnaugh map of the truth table. The circled terms are ...
Opens = AB +AC
find the capacitance reactance of a 0.1 micro frequency capacitor 50Hz and at 200Hz
Answers
Complete Question:
Find the capacitive reactance of a 0.1 microfarad capacitor with frequency 50Hz and at 200Hz.
Answer:
I. Capacitive reactance = 31826.86 Ohms.
II. Capacitive reactance = 7956.72 Ohms.
Explanation:
Given the following data;
Capacitance = 0.1 uF = 0.0000001 Farad
Frequency = 50 Hz and 200 Hz
To find the capacitive reactance;
Mathematically, the capacitive reactance of an electronic circuit is given by the formula;
\( X_{c} = \frac {1}{2 \pi fc} \)
Where;
Xc is capacitive reactance.f is the frequency.c is the capacitance.Substituting into the formula, we have;
I. At frequency, f = 50 Hz
\( X_{c} = \frac {1}{2 * 3.142 * 50 * 0.0000001} \)
\( X_{c} = \frac {1}{314.2 * 0.0000001} \)
\( X_{c} = \frac {1}{0.00003142} \)
\(X_{c} = 31826.86\)
II. At frequency, f = 200 Hz
\( X_{c} = \frac {1}{2 * 3.142 * 200 * 0.0000001} \)
\( X_{c} = \frac {1}{1256.8 * 0.0000001} \)
\( X_{c} = \frac {1}{0.00012568} \)
\(X_{c} = 7956.72\)
Which of the following InfoSec measurement specifications makes it possible to define success in the security program?
a. Prioritization and selection
b. Measurements templates
c. Development approach
d. Establishing targets
Answers
Establishing targets is the InfoSec measurement specification that makes it possible to define success in the security program.The correct option is d.
In the context of InfoSec (Information Security), establishing targets is a critical aspect of defining success in a security program. Setting targets involves identifying specific goals or objectives that the security program aims to achieve. These targets serve as benchmarks or performance indicators against which the program's success can be measured.
By establishing targets, organizations can define what they consider as successful outcomes for their security program. These targets can be based on various factors such as compliance requirements, industry standards, risk assessments, or specific organizational needs. They provide clear and measurable criteria against which the effectiveness of the security program can be evaluated.
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_____is the ability of a system to grow as the volume of users increases.
For others taking this class that have not found the answer
Answers
Answer:
Scalability
Explanation:
just took a test and it was right.
New tie rod ends are being installed. Technician A says it is a good idea to replace the cotter pin. Technician B says to tighten the retaining nut to the low side of the torque spec then further tighten to align the cotter key hole. Which technician is correct
Answers
Answer:
technician b?
Explanation:
Research an incident where cryptology played a key role in the incident. For example, during World War II cryptology was used to safeguard communications. Provide an introduction, summary of the incident, and your conclusion.
Answers
Answer:
Explanation:
Introduction:
Cryptology, the science of encoding and decoding information, has played a pivotal role in numerous historical incidents, often shaping the outcomes of major events. By providing secure communication and protecting sensitive data, cryptology has been instrumental in military operations, intelligence gathering, and safeguarding confidential information. One such significant incident where cryptology played a key role is the story of the Enigma machine during World War II.
Summary of the Incident:
During World War II, the Enigma machine, a complex encryption device used by the German military, posed a significant challenge to the Allied forces. The Enigma machine encrypted German communications, making it extremely difficult for the Allies to decipher their messages. However, a team of brilliant codebreakers at Bletchley Park, including renowned figures like Alan Turing, successfully cracked the Enigma code, providing invaluable intelligence to the Allies.
The codebreakers at Bletchley Park developed the Bombe machine, a mechanical device that aided in decrypting Enigma-encrypted messages. By exploiting weaknesses in the German encryption practices and employing innovative techniques like cribs and codebreaking algorithms, the codebreakers were able to unravel the Enigma code.
The successful decryption of Enigma messages proved to be a turning point in the war. The Allies gained vital insights into German military strategies, troop movements, and supply routes. This intelligence significantly contributed to key victories, such as the Battle of the Atlantic and the Normandy landings, and ultimately helped the Allies secure victory in World War II.
Conclusion:
The story of the Enigma machine and its decryption stands as a testament to the critical role of cryptology in historical incidents. The codebreakers' efforts at Bletchley Park showcased the power of cryptanalysis and demonstrated the immense impact that breaking an enemy's encryption can have on the outcome of a conflict. The successful decryption of Enigma messages not only provided the Allies with crucial intelligence but also exemplified the importance of cryptology in safeguarding communications and gaining a strategic advantage.
The incident highlights the ongoing significance of cryptology in modern times, where secure communication and protection of sensitive data remain paramount. Cryptology continues to evolve, playing a vital role in areas such as cybersecurity, secure online transactions, and ensuring the confidentiality of sensitive information.
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Find the exact value of cosine (startfraction 5 pi over 6 endfraction) cosine (startfraction pi over 12 endfraction) + sine (startfraction 5 pi over 6 endfraction) sine (startfraction pi over 12 endfraction) startfraction startroot 2 endroot over 2 endfraction negative startfraction startroot 2 endroot over 2 endfraction negative startfraction startroot 3 endroot over 2 endfraction startfraction startroot 3 endroot over 2 endfraction.
Answers
Exact value of given equation cos(5π/6)*cos(π/12)+sin(5π/6)*sin(π/12) is -√2/2
cos(5π/6)*cos(π/12)+sin(5π/6)*sin(π/12)
0.8660*0.9659+0.2588*0.5=-√2/2
The trigonometric functions of an angle in mathematics are sine and cosine. An acute angle's sine and cosine are defined in terms of a right triangle: for the given angle, the sine is the. We'll refer to the ratio of a right triangle's opposing side to hypotenuse as the sine and assign it the symbol sin. The cosine, denoted by the symbol cos, is the proportion of a right triangle's neighboring side to its hypotenuse. The word "sine" in trigonometry is derived from a Sanskrit word that means "chord" through the use of Latin. The AB chord, which is half a chord of the unit circle in the illustration below, has length sin. Complementary angles serve as the basis for the co-functions.
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Answer:
A on edge
Explanation:
m = StartFraction StartRoot 3 EndRoot Over 2 EndFraction, Theta = StartFraction Pi Over 6 EndFraction
Every vehicle operated on your state roadways must be covered by ______ insurance through a company that is authorized to do business in your state.Liability
Answers
Every vehicle operated on your state roadways must be covered by Liability insurance through a company that is authorized to do business in your state.
Define state postulate.
The state postulate is a phrase from thermodynamics that describes the set of characteristics of a thermodynamic system in an equilibrium condition. It is additionally known as the state principle.
According to the state postulate, a simple compressible system's state can be fully described by two independent, intense features. Thermodynamics employs this postulate. In order to identify a finite set of attributes in a thermodynamic system, the state postulate is used.
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how to create a bash script that unzip several zipped
files in a folder and sort them alphabetical and remove white
spaces from their names ?
Answers
To create a bash script that unzips several zipped files in a folder and sorts them alphabetically while removing whitespaces from their names, the following steps should be taken.
Step 1: Navigate to the folder containing the zipped files you want to unzip
Step 2: Create a new bash script file using the touch command, for example, touch unzip_sort.sh
Step 3: Open the script file in a text editor of your choice. For example, nano unzip_sort.sh
Step 4: Add the following code to the file:#/bin/bashfor i in `ls *.zip | sort`; dounzip "$i" && rm "$i"donefor file in *; do mv "$file" `echo $file | tr ' ' '_'` 2>/dev/null; done
Step 5: Save and close the file
Step 6: Make the script executable using the chmod command. For example, chmod +x unzip_sort.sh
Step 7: Run the script using the following command: ./unzip_sort.sh
The first paragraph of the answer explains the steps to create a bash script that unzips several zipped files in a folder and sorts them alphabetically while removing whitespaces from their names. It includes a step by step guide on how to navigate to the folder, create a new bash script file, open the script file in a text editor, add the code to the file, save and close the file, make the script executable and run the script using a command.
The second paragraph explains each of the steps in detail. It explains what each of the commands used in the steps does and provides examples of how to use them. This will help readers who are not familiar with bash scripting to understand what the script does and how it works.
The third paragraph highlights the benefits of using a bash script to unzip several zipped files in a folder and sort them alphabetically while removing whitespaces from their names. It explains that using a script makes the process faster and more efficient, especially when dealing with a large number of files. It also makes it easier to perform the same operation multiple times, as all that is required is to run the script again.
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The figure below appeared three heat treatments processes of steel (A, B and C),
select only One and answer the following:
1- Named the heat treatment process.
2- The temperature range of heating process.
3- The cooling process method.
4- The aims of process.
Answers
Answer:
b
Explanation:
which model predicts that the duration of a contest is a function of the value of the resource?
Answers
The model that predicts the duration of a contest as a function of the value of the resource is called the "Tullock's rent-seeking model".
This model was introduced by Gordon Tullock in 1967 and is widely used in political science and economics to understand how individuals and organizations compete for resources. In this model, individuals invest time and resources in order to win a contest, with the winner taking the entire prize. The duration of the contest is determined by the number of participants and the value of the prize, with larger prizes leading to longer contests. The model has been used to analyze a wide range of phenomena, from political lobbying to sports competitions.
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Calculate the frequency (in Hz) of the radiation released by the transition of an electron in a hydrogen atom from the n = 5 level to the n = 3 level. ___ x 10 ___ Hz
Answers
The frequency (in Hz) of the radiation released by the transition of an electron in a hydrogen atom from the n = 5 level to the n = 3 level is 7.68 x 10¹⁴ Hz
The frequency (in Hz) of the radiation released by the transition of an electron in a hydrogen atom can be calculated using the Rydberg formula:
1/λ = R (1/n1² - 1/n2²)
where λ is the wavelength of the radiation,
R is the Rydberg constant (3.29 x 10¹⁵ Hz), and
n1 and n2 are the initial and final energy levels of the electron in the hydrogen atom, respectively.
For the transition from n=5 to n=3, we have:
1/λ = R (1/3² - 1/5²)
1/λ = R (1/9 - 1/25)
1/λ = R (16/225)
λ = 225/16R
λ = 225/(16 x 3.29 x 10¹⁵)
λ ≈ 390.6 nm
The frequency of the radiation can be obtained by using the speed of light (c) and the wavelength (λ):
c = fλ
f = c/λ
f = (2.998 x 10⁸ m/s)/(390.6 x 10⁻⁹ m)
f ≈ 7.68 x 10¹⁴ Hz
Therefore, the frequency is approximately 7.68 x 10¹⁴ Hz.
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PROBLEM: A steel plate is subjected to an axial load, P = 1000 kN as shown in the Figure. The plate is 8mm in thickness and has a modulus of elasticity E = 100 GPa. The problem is modeled by using 4 nodes and 4 elements, as shown in Figure OBJECTIVES: a) Determine the deflections along the plate by using FEM direct formulation. b) Determine stress in element number 2 and 3. Analysis and simulation will be done in "ANSYS". -P lomon 8mm X 30mmi ti Tommy
Answers
Given: The plate is subjected to an axial load, P = 1000 kN, the thickness of the plate is 8mm, and modulus of elasticity E = 100 GPa.The FEM model of the plate is shown in the below image:Image Transcription:FE ModelThe following terms will be used in the solution of this problem:
Nodes 1-4;Elements 1-4;DOF 1-8;Length L = 30 mm;Width W = 8 mm.Area A = 240 mm²;Young’s modulus E = 100 GPa.ANSYS is used for the analysis and simulation of the plate.
The objectives are to determine the deflections along the plate by using FEM direct formulation and determine stress in element number 2 and 3. A) Deflections along the plate by using FEM direct formulation:The deflections along the plate can be determined by using the FEM direct formulation.
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A rectangle has a width of 8 m and a length of 7 m. How does the area change when each dimension is multiplied by 5? responses the area is increased by a factor of 5. The area is increased by a factor of 5. The area is increased by a factor of 10. The area is increased by a factor of 10. The area is increased by a factor of 25. The area is increased by a factor of 25. The area is increased by a factor of 50.
Answers
Answer:
The area is increased by a factor of 5.
Answer:
25
Explanation:
