To solve the questions and assist Gigi in shortlist institutions, the following assumptions, values, and methods can be used:a. For shortlisting IHLs:
Key variables: Duration of the program (in years), tuition fees (in Malaysian Ringgit), ranking of the IHL (based on recognized rankings or assessments), starting pay of fresh graduates (in Malaysian Ringgit).
Tabulate the information into a table with columns for IHL name, program duration, tuition fees, ranking, and starting pay.
b. Applying statistical and probability tools in Excel:
Import the data from Appendix A into Excel.
Use the Excel Data Analysis Toolpak to perform statistical analysis, such as calculating averages and standard deviations.
Create a graph in Excel to compare the sugar content in the four different biscuit brands.
Calculate the probability using the Excel Probability Toolpak for a randomly selected brand A biscuit having sugar content smaller than 19g/100g. Compare the result with manual calculation.
Repeat the same calculation for brand B and compare the results.
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The compartments of these tanks are closed and filled with air. Gage A reads 207 kPa. Gage B registers a vacuum of 254 mm of mercury. What will gage C read if it is connected to compartment 1 but inside compartment 2
Answer: 240.9 Kpa
Explanation:
Let first changes pressure Gage B from mm of mercury to KPa. That is,
254mm of mercury = 33.86KPa.
To calculate the pressure at C, we need to consider the atmospheric pressure and calculate the absolute pressure of the tank compartment
At gage C, the reading will read P1– P2
Where P1 = absolute pressure
Give that the pressure at B = 254 mm Hg
But (101.33/760) = 33.87 kPa
Where 101.33 = atmospheric pressure
Therefore,
P2 = 101 - 33.87 = 67.13 kPa
P2 = Pa ( pressure at A
Absolute P1 = Patm + Pa= 101 + 207 = 308 kPa abs.
Therefore, Pc = 308 - 67.13
Pc = 240.9Kpa
Therefore, gage C will read 240.9 Kpa if it is connected to compartment 1 but inside compartment 2
Which business application uses passive (no power source) electronic tags and labels to identify objects wirelessly over short distances (up to 20 feet)?
a. Cellphone traffic monitoring
b. Global positioning systems
c. Location-based services
d. K-Band Satellite Internet Service
e. Radio-frequency identification
The business application that uses passive (no power source) electronic tags and labels to identify objects wirelessly over short distances (up to 20 feet) is radio-frequency identification (RFID).
RFID (radio-frequency identification) is a system that employs passive (no power source) electronic tags and labels to identify objects wirelessly over short distances (up to 20 feet).
The tags contain data that is transmitted by a reader that is also called a radio-frequency identification interrogator or transceiver.
An RFID tag is placed on the object to be identified, and when it comes into range of the reader, the reader sends a signal that activates the tag.
After that, the tag responds by transmitting the data encoded in its memory.
This data can include identification, status, location, and other information related to the object.
A conclusion may be that the radio-frequency identification (RFID) is an advanced technology that has been developed to improve the accuracy and efficiency of data collection and management.
It can be used in a variety of business applications, such as inventory management, supply chain management, and asset tracking.
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what was the first roblox player A.bob B.roblox C.builderman
Answer:
actually, it was John Doe and Jane Doe, as they were created as testers on the exact same say when Roblox was created.
Explanation:
The first player was builderman. Option C
Who was the first player?The first player was one whose user handle was builderman.
However, the account was terminated. It was replaced with
‘Builderman’ is the account that belonged to the CEO and Co-Founder of , David Baszucki. He manages all of the admins.
When you make a new account, he's automatically your friend.
Note that ‘John Doe’ and ‘Jane Doe’ were two test accounts that were created by David.
The accounts were later rumored to hack others’
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What signal propagation phenomena causes the diffusion, or the reflection in multiple different directions, of a signal?
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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Speculators in energy markets have been blamed for recent volatility in gas and oil prices. Consider the following scenario: In response to this criticism of speculators, regulators impose restrictions on them that make it costlier for them to participate in the energy markets. Immediately prior to the effect of the new regulations, in the oil derivatives market, hedgers are net long. At this time, hedgers in the gas derivatives market are net short. Assuming nothing else changes, predict the effect of the new regulations on the trend (drift) in oil futures prices and the trend (drift) in gas futures prices. Briefly describe how these changes in the trends will impact the cost of hedging in the oil and gas markets. Explain your reasoning.
Higher costs imposed on speculators to participate in energy markets could lead to a reduction in liquidity and trading volume.
How to explain the informationThis decline would reduce the influence that speculation has over oil and gas futures prices, as previously highlighted.
As it stands in this particular instance, buyers utilizing hedging strategies within the market for oil derivatives are net long: positioning with contracts designed to mitigate the risk of future price increases. Conversely, sellers involved in hedging activities in the gas derivatives sector maintain a net short position- offsetting prospective losses from declining prices.
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A mass of 5 kg of saturated liquid-vapor mixture of water is contained in a piston-cylinder device at 125 kPa. Initially, 2 kg of the water is in the liquid phase and the rest is in the vapor phase. Heat is now transferred to the water, and the piston, which is resting on a set of stops, starts moving when the pressure inside reaches 300 kPa. Heat transfer continues until the total volume increases by 20 percent.
Determine:
(a) the initial and final temperatures,
(b) the mass of liquid water when the piston first start moving
a) The initial and final temprature are 99.61°C and T3 = 259.07°C
b) The mass of liquid water when the piston first start moving is 0g
Using the data provided:
Initial Pressure = P1 = 125kPa
Mass of Saturated Vapor Liquid = m = 5kg
Initial Mass of Liquid water = mf = 2kg
Initial Mass of Vapor = mg = 3kg
The temperature for a mixture of liquid steam saturated with water according to the thermodynamic table is:
T₁ = 99.61°C
The specific volume is:
vf = 0.001043m³/kg
And the saturated volume is:
vg = 1.6941m³/kg
Therefore, the volume in state 1 will be equal to:
V1 = mfvf + mgvg
V1 = (2kg)(0.001043m³/kg) + (3kg)(1.6941m³/kg)
V1 = 5.084m³
In state 3 then the volume will be equal to:
V3 = 1.2V1
V3 = 1.2(5.084m³)
V3 = 6.1008m³
Then the specific volume will be equal to:
v3 = V₃/m
v3 = 6.1008m³/5kg
v3 = 1.2202m³/kg
For a pressure of 300 kPa and the previous specific volume found through the thermodynamic table, the value of the temperature is:
T3 = 259.07°C
Question b) When the piston first stats moving at P₂ = 300kPa and V₂ = V₁ = 5.084m³
v₂ =V₂/m
v₂ = 5.084m³/5kg
v2 = 1.0168m³/kg
While at 300 kPa the value of the vapor saturated vg = 0.88578m³/kg This implies that the condition is met:
v2 > vg
Therefore, no liquid is there in-cylinder when piston stats moving, mf = 0kg
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All of the following methods have proven to be useful techniques to help project teams identify the risks that might impact the project EXCEPT:a) reviewing project documents; b) documenting lessons learned; c) interviewing stakeholders; d) brainstorming among team members and subject matter experts
All the following methods have proven to be useful techniques to help project teams identify the risks that might impact the project, except documenting lessons learned.
What techniques do you use to identify project risks?The unexpected can happen regardless of how thoroughly you prepare your project and throw you entirely off track. Before the project begins, potential risks should be identified to assist mitigate some effects of unanticipated events. These risk identification methods can also be employed as a project progresses to make sure that any additional risks are taken into account.To find hazards in a project, project managers have a variety of methods at their disposal. They include expert judgment techniques, documentation reviews, information collecting, brainstorming, checklist analysis, assumption analysis, diagramming, and SWOT analysis.Reviewing project documentation for discrepancies entails looking over items including project plans, resource schedules, scoping documents, and requirement documents.To learn more about project, refer to
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A brake disc is resurfaced to correct ______________________________, thickness variation, or scoring.
The two options are based on the "rule of thumb" that a rotor should have at least.030 inches of material left on it in order to be machined.
What is frequently brought on by an excessive thickness difference in the brake pedal and steering wheel?When a thicker area of the brake rotor rotates through the calliper, it pushes back against brake fluid, which can be felt at the brake pedal, causing brake pedal pulsation and other circumstances like steering-wheel shaking while braking.
What material are brake lines made of?Although metallic brake lines are also available, brake lines are often constructed of rubber or a rubber and synthetic material combination. Their length and diameter vary.
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What are the indications that Cece is having problems
with her computer hardware? Check all that apply
-losing the Internet connection
-waiting for five minutes
-computer going blank
-mouse pointer freezing
-keyboard getting stuck
Answer:
-Computer going blank .
-Mouse pointer freezing.
-Keyboard getting stuck.
Explanation:
Any problems with the computer related to its hardware will consist of issues directly related to the physical components of the PC or computer. So any problem involving the physical component of the computer, then it can be termed as a hardware problem.
Based on the problems given in the option, the hardware issues will be problems with the computer, mouse, and keyboard. These form the physical parts of the computer so they will be a hardware issue.
Thus, the correct answers are the third, fourth, and fifth options.
Answer:
c d e
Explanation:
The effective temperature of a body having an area on 0.12 m² is 527°C what is the total rate of energy emission?
The total rate of energy emission is 2786.9 W.
Total Rate of Energy EmissionRadiation is a type of heat transfer where the heat energy is conveyed from photons or electromagnetic waves. The rate of energy emission can be calculated multiplying the Stefan–Boltzmann law (σ\(*T^4\)) by area (A). Therefore, you have:
Total Rate of Energy Emission (E)= σ\(*A*T^4\), where:
σ = Stefan–Boltzmann constant = \(5.67*10^{-8}\) \(\frac{W}{m^2K^4}\)
A= area
T=temperature (K)
For solving this exercise, you should apply this formula. For your question:
σ = Stefan–Boltzmann constant = \(5.67*10^{-8}\) \(\frac{W}{m^2K^4}\)
A= 0.12 m²
T=527+273=800 K
Thus, the Total Rate of Energy Emission (E) will be:
E=σ\(*A*T^4\)
\(E=(5.67*10^{-8}\frac{W}{m^2K^4})*(0.12*m^{2} )*(800K)\\ \\ E=2786.9 W\)
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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?
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:
A liquid stream containing 50. 0 mole% benzene and the balance toluene at 25°C is fed to a continuous single-stage evaporator at a rate of 1320 mol/s. The liquid and vapor streams leaving the evaporator are both at 95. 0°C. The liquid contains 42. 5 mole% benzene and the vapor contains 73. 5 mole% benzene. (a) Calculate the heating requirement for this process in kW. (b) Using Raoult's law (Section 6. 4b) to describe the equilibrium between the vapor and liquid outlet streams, determine whether or not the given benzene analyses are consistent with each other. If they are, calculate the pressure (tor) at which the evaporator must be operating; if they are not, give several possible explanations for the inconsistency
(a) The heating requirement for this process is 2.95 x 10⁶ kW
(b) The given benzene analyses are not consistent with each other.
(a) To calculate the heating requirement for this process, we need to determine the heat that must be supplied to the evaporator to vaporize the liquid stream and heat the vapor to the outlet temperature of 95.0°C. We can use the following energy balance:
Q = m(L)v + m(V)h
where Q is the heat required, m(L) and m(V) are the mass flow rates of the liquid and vapor streams, respectively, and v and h are the specific volumes and enthalpies of the liquid and vapor streams, respectively.
To convert the given mole fractions to mass fractions, we need to use the molecular weights of benzene and toluene:
MW_benzene = 78.11 g/mol
MW_toluene = 92.14 g/mol
The mass fraction of benzene in the liquid stream is:
y_B = 0.50
M_B = y_B x MW_benzene / ((1 - y_B) x MW_toluene + y_B x MW_benzene) = 0.436
Similarly, the mass fraction of benzene in the liquid outlet stream is:
x_B = 0.425
M_B = x_B (MW_benzene) / ((1 - x_B) MW_toluene + x_B ( MW_benzene) = 0.378
And the mass fraction of benzene in the vapor stream is:
z_B = 0.735
M_B = z_B x MW_benzene / ((1 - z_B) x MW_toluene + z_B x MW_benzene) = 0.532
Now we can use Raoult's law to relate the vapor pressures of benzene and toluene in the liquid and vapor streams:
P_B = y_B x P°_B
P_T = (1 - y_B) x P°_T
P'_B = z_B x P°_B'
P'_T = (1 - z_B) x P°_T'
where P°_B and P°_T are the vapor pressures of pure benzene and toluene at 25°C, and P°_B' and P°_T' are the vapor pressures of pure benzene and toluene at 95°C. We can look up these values in a reference table:
P°_B = 12.7 kPa
P°_T = 3.8 kPa
P°_B' = 95.4 kPa
P°_T' = 12.6 kPa
Substituting these values and solving for the vapor pressure of benzene in the liquid and vapor streams, we get:
P_B = 6.35 kPa
P'_B = 50.80 kPa
Now we can calculate the mass flow rates of the liquid and vapor streams:
m(L) = 1320 / (1 + V/L)
m(V) = 1320 - m(L)
where V/L is the ratio of the vapor flow rate to the liquid flow rate, which we can calculate from the vapor-liquid equilibrium relation:
V/L = z_B / (y_B - z_B) = 1.53
Substituting these values and the specific volumes and enthalpies of benzene and toluene, which we can look up in a reference table, we get:
v_L = 0.001319 m³/mol
v_V = 0.03147 m³/mol
h_L = -15702 J/mol
h_V = -11006 J/mol
Q = m(L)v_L(h_V - h_L) + m(V)h_V
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Consider a homogeneous spherical piece of radioactive material of radius ro = 0.04 m that is generating heat at a constant rate of ėgen = 5 x 107 w/m3 . the heat generated is dissipated to the environment steadily. the outer surface of the sphere is maintained at a uniform temperature of 110°c and the thermal conductivity of the sphere is k = 15 w/m·k. assuming steady one-dimensional heat transfer, (a) express the differential equation and the boundary conditions for heat conduction through the sphere, (b) obtain a relation for the variation of temperature in the sphere by solving the differential equation, and (c) determine the temperature at the center of the sphere.
Answer:
Please report my answer
Explanation:
I want my account deleted
Searches related to Probability questions - A person frequents one of the two restaurants KARIM or NAZEER, choosing Chicken's item 70% of the time and fish's item 30% of the time. Regardless of where he goes , he orders Afghani Chicken 60% of his visits. (a) The next time he goes into a restaurants, what is the probability that he goes to KARIM and orders Afghani Chicken. (b) Are the two events in part a independent? Explain. (c) If he goes into a restaurants and orders Afghani Chicken, what is the probability that he is at NAZEER. (d) What is the probability that he goes to KARIM or orders Afghani Chicken or both?
Answer:
a) 0.42
b) Independent
c) 30%
d) 0.88
Explanation:
Person chooses Chicken's item : 70% = 0.7
Person chooses fish's item : 30% = 0.3
Visits in which he orders Afghani Chicken = 60% = 0.6
a) Probability that he goes to KARIM and orders Afghani Chicken:
P = 0.7 * 0.6 = 0.42
b) Two events are said to be independent when occurrence of one event does not affect the probability of the other event's occurrence. Here the person orders Afghani Chicken regardless of where he visits so the events are independent.
c) P = 0.30 because he orders Afghani Chicken regardless of where he visits.
d) Let A be the probability that he goes to KARIM:
P(A) = 0.7 * ( 1 - 0.6 ) = 0.28
Let A be the probability that he orders Afghani Chicken:
P(B) = 0.3 * 0.6 = 0.18
Let C be the probability that he goes to KARIM and orders Afghani chicken:
= 0.7 * 0.6 = 0.42
So probability that he goes to KARIM or orders Afghani Chicken or both:
P(A) + P(B) + P(C) = 0.28 + 0.18 + 0.42 = 0.88
the adult population can be calculated by adding the labor force and not in the labor force together.
true
false
The given statement "The adult population can be calculated by adding the labor force and not in the labor force together" is true because the adult population refers to the number of people in a particular region or country who are eligible for voting.
This demographic includes all individuals who are legally eligible to cast their ballot in any given election. To determine the adult population, it's important to note that not all adults are in the labor force. Some individuals may be out of work and not actively seeking employment, which means they are not included in the labor force.
Similarly, those who are not working due to disability or other reasons are also not included in the labor force. The adult population can be calculated by adding the labor force and not the labor force together. The labor force is the number of individuals who are employed or actively seeking employment. Those who are not in the labor force include retirees, stay-at-home parents, and individuals who are unable to work due to disability or other reasons.
So, adding the labor force and not in the labor force together can give us the total adult population of a particular region or country.
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See pic attached pleasee
Evaluation is the methodical determination of a subject's validity, worth, and relevance using standards-based criteria.
Thus, It can help an organization, program, design, project, or any other intervention or initiative evaluate any goal, realizable concept or proposal, or any alternative, to aid in decision-making; or to determine the level of achievement or value in relation to the goal and objectives, as well as the outcomes of any such action that has been taken.
In addition to providing insight into past or current projects, evaluation's main goal is to promote introspection and help identify potential areas for future improvement.
In a variety of human endeavours, such as the arts, criminal justice, and other fields, evaluation is frequently used to describe and evaluate topics of interest.
Thus, Evaluation is the methodical determination of a subject's validity, worth, and relevance using standards-based criteria.
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1.Shortcut operators are faster than the conventional arithmetic operators.
2.You can declare more than one variable in a single line.
3.You must use else after every if statement.
what is answer?
It's important to note that this speed difference is only noticeable for large programs. For small programs, the difference is negligible.
1. Shortcut operators are faster than the conventional arithmetic operators: This statement is true. Shortcut operators are faster because they combine arithmetic operations with variable assignments in a single statement. For example, instead of writing "a = a + 2", you can write "a += 2". This saves time and reduces the amount of code you need to write. However, it's important to note that this speed difference is only noticeable for large programs or when dealing with complex calculations. For small programs, the difference is negligible.
2. You can declare more than one variable in a single line: This statement is also true. In many programming languages, you can declare and initialize multiple variables on the same line. For example, instead of writing "int a; int b; int c;", you can write "int a, b, c;". This saves space and makes your code more concise. However, it's important to note that you should only do this if the variables are related and have the same data type.
3. You must use else after every if statement: This statement is false. It's not necessary to use else after every if statement. You can use if statements on their own if you don't need to execute any code if the condition is not true. However, if you need to execute code in both cases (true and false), then you should use else. It's also important to note that you can use else if to test for additional conditions if the first if statement is not true.
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What is promotion? a company's portion of the total industry sales for a certain type of product the value placed on a product, usually given in monetary terms determining how to get the product to the right people, in the right amounts, at the right time and place any form of communication that a business uses to inform, persuade, or remind potential customers about their products
Promotion is any form of communication that a business uses to inform, persuade, or remind potential customers about their products. The goal is to raise awareness, draw attention to, and encourage consumers to purchase the product over competing options.
All of the activities that inform consumers about a product, brand, or service are referred to as promotions.
Companies communicate about sales promotions through a variety of media, including printed materials like posters, coupons, direct mail pieces, and billboards; radio and television commercials; and digital media like text messaging, email, websites, and social media, among others.
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Using Huffman encoding scheme on a set S of n symbols with frequencies fi, f2, ..., fn, what is the longest a codeword could possibly be? Give an example set of frequencies that would produce this case. Note that your set of frequencies must be defined in such a way that it is generalizable for any value of n. This set of frequencies must be valid, meaning that the frequencies of all characters sums to 1, though you do not need to prove this. Additionally, you do not need to prove that your proposed set of frequencies will produce the desired result.
Huffman encoding's longest codeword is n-1 bits long. For instance, f i = 2(i-1)/2n.
What is the longest codeword that may be used in a Huffman encoding of an n-symbol alphabet?The length of the longest codeword is n 1. This number is obtained by encoding n symbols, where n 2 of them have probabilities of 1/2,1/4,...,1/2n-2, and two of them have probabilities of 1/2n-1. Never can a codeword be longer than length n 1.
For an input alphabet of size n, what is the tallest Huffman tree that can be constructed?The longest code, or the maximum depth, is 255.ac if by "all bytes" you mean the 256 potential byte values that can be used as symbols.
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The UHRS platform is optimized for Edge/Internet Explorer only. You can still use your favorite browser, but keep in mind that you may experience technical issues when working on UHRS with a different browser than Edge or Internet Explorer.
UHRS is optimized for...
It is to be noted that all UHRS platforms are optimized for the popular kinds of internet browser applications.
What is a UHRS?The Universal Human Relevance System (UHRS) is a crowdsourcing platform that allows for data labeling for a variety of AI application situations.
Vendor partners link people referred to as "judges" to offer data labeling at scale for us. All UHRS judges are bound by an NDA, ensuring that data is kept protected.
A browser is a software tool that allows you to see and interact with all of the knowledgeon the World Wide Web. Web sites, movies, and photos are all examples of this.
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Drag each tile to the correct box. Not all tiles will be used.
Adam wants to become a certified professional engineer. What are the steps that he will have to follow?
Answer:
I think it is the 2,3,5 and 1 ones
what is the dimensions of beta
Answer:
byee byee bbbbbbbbbbbb
Which type of blade is used with a demolition saw?
A chisel-tooth combination blade
An abrasive wheel
A carbide-tipped blade
A combination rip blade
(a) Design a high-pass filter with a cutoff frequency of 40 kHz. Use0.01 uF capacitor and an appropriate resistor. B) Sketch and label the circuit. C) What is the gain of the filter at the cutoff frequency? Give your answer both as ratio (Vout/Vin) and in dB. D) What is the gain of the filter at a frequency of 55 kHz? Give your answer both as a ratio (Vout/Vin) and in dB.
Answer:
a) 397.89 ohm
b) attached below
c) 0.707 as a ratio
Gain in dB = 20 log 0.707 = -3 dB
d) 0.8087
Gain in dB = 20 log \(|\frac{Vout}{Vin}|\) = -1.844 dB
Explanation:
A) Find the appropriate resistor
c = 0.01 uf
fc = 40 kHz
cut-off frequency ; fo = \(\frac{1}{2\pi RC }\)
from the above equation R = \(\frac{1}{2\pi foC}\) = 397.89 ohm
B) sketch of the circuit is attached
C) The gain of the filter at the cutoff frequency
fc = 40 kHz,
C = 0.01 uF ⇒ \(\frac{-j}{2\pi foC }\) = -j 397.89
Vout = Vin * ( R / R- C )
Vout = Vin * ( 397.89 / (397.89 - j 397.89))
Vout = \(\frac{1}{\sqrt{2} }\) Vin ∠45⁰
therefore gain = |\(\frac{Vout}{Vin }\)| = \(\frac{1}{\sqrt{2} }\) = 0.707 as a ratio
Gain in dB = 20 log 0.707 = -3 dB
D) Gain of filter at 55 kHz
c = 0.01 uF = \(\frac{-J}{2\pi foC }\) = -j 289.373 ohms
Vout = Vin * \(\frac{R}{R-C}\)
= Vin * ( 397.89 / ( 397.89 - j 289.373))
Gain in ratio \(|\frac{Vout}{Vin}|\) = 0.8087 ∠ 36.03⁰
therefore gain in ratio = 0.8087
Gain in dB = 20 log \(|\frac{Vout}{Vin}|\) = -1.844 dB
A 1-ft rod with a diameter of 0.5 in. is subjected to a tensile force of 1,300 lb and has an elongation of 0.009 in. The modulus of elasticity of the material is most nearly:
Answer:
E = 8.83 kips
Explanation:
First, we determine the stress on the rod:
\(\sigma = \frac{F}{A}\\\\\)
where,
σ = stress = ?
F = Force Applied = 1300 lb
A = Cross-sectional Area of rod = 0.5\(\pi \frac{d^2}{4} = \pi \frac{(0.5\ in)^2}{4} = 0.1963\ in^2\)
Therefore,
\(\sigma = \frac{1300\ lb}{0.1963\ in^2} \\\\\sigma = 6.62\ kips\)
Now, we determine the strain:
\(strain = \epsilon = \frac{elongation}{original\ length} \\\\\epsilon = \frac{0.009\ in}{12\ in}\\\\\epsilon = 7.5\ x\ 10^{-4}\)
Now, the modulus of elasticity (E) is given as:
\(E = \frac{\sigma}{\epsilon}\\\\E = \frac{6.62\ kips}{7.5\ x\ 10^{-4}}\)
E = 8.83 kips
Which instruments are very reliable for static and stable conditions?
A musical tone sounded on a piano has a frequency of 410 Hz and a wavelength of 0.80 m. What is the speed of the sound wave
The speed of a sound wave can be calculated using the formula:Speed (v) = Frequency (f) × Wavelength (λ)Given that the frequency of the musical tone is 410 Hz (cycles per second) and
The speed of the sound wave is 328 m/s. This is calculated by multiplying the frequency (410 Hz) by the wavelength (0.80 m) using the formula for wave speed. The frequency represents the number of cycles per second, and the wavelength is the distance between two corresponding points on the wave. Multiplying these values gives the distance traveled by the wave per second. In this case, the sound wave travels at a speed of 328 meters per second. The speed of sound in air is approximately 343 m/s, so the given value of 328 m/s falls within the expected range.
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a. What will happen when you pass a constant DC current through an inductor?
b. what will happen when you pass an AC current through an inductor?
c. If a current existed near the inductor, how would the inductor respond?
d. Describe one experiment you could perform to test your answers to these questions.
a. When you pass a constant DC current through an inductor, the inductor will resist the change in current and create a magnetic field. This magnetic field will increase over time, causing the inductor to store energy in the form of magnetic potential energy.
b. When you pass an AC current through an inductor, the inductor will still resist the change in current and create a magnetic field. However, the direction of the current in the AC signal will alternate, causing the magnetic field to constantly increase and decrease. This will result in the inductor storing energy during one half of the AC cycle and releasing it during the other half.
c. If a current existed near the inductor, the inductor would respond by inducing a voltage in the nearby circuit. This is because the magnetic field produced by the inductor will interact with the current in the nearby circuit, causing a change in voltage.
d. One experiment you could perform to test these answers would be to set up a simple circuit with an inductor and a resistor. Then, you could pass a constant DC current through the circuit and measure the voltage across the inductor. Next, you could pass an AC current through the circuit and measure the voltage across the inductor again. Finally, you could introduce a nearby current and observe the effect on the voltage across the inductor. By comparing the results of these tests, you could confirm the behavior of the inductor in different situations.
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Propane gas (C3H8) at 25C, 1 atm enters an insulated reactor operating at steady state and burns completely with air entering at 25C, 1atm. Plot the adiabatic flame temperature versus percent of theoretical air ranging from 100 to 400%. Why does the adiabatic flame temperature vary with increasing combustion air?
Note: Just pick one or two AFR's, 2125 K for 120% Theoretical Air
As the percent of theoretical air increases, the adiabatic flame temperature also increases. This is because more air means more oxygen is available for the combustion reaction, which allows the reaction to proceed more efficiently and release more heat. This increase in heat causes the temperature of the gas to rise.
An adiabatic flame temperature is the temperature reached by a gas as it undergoes a chemical reaction, such as combustion, in an insulated environment where no heat is lost to the surroundings. In this case, the adiabatic flame temperature of propane gas burning with air can be plotted versus the percent of theoretical air, which is the amount of air required for complete combustion of the fuel.
At a percent of theoretical air of 120%, the adiabatic flame temperature is 2125 K. This temperature will continue to rise as the percent of theoretical air is increased further.
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Calculate the velocity of a motor cyclist who travelled a distance of 200 min
10 seconds.
Answer: The velocity of a motor cyclist who travelled a distance of 200 m in 10 seconds is 20 m/sec.
Explanation:
Given: Distance = 200 m
Time = 10 seconds
Formula used to calculate velocity is as follows.
\(Velocity = \frac{Distance}{Time}\)
Substitute the value into above formula as follows.
\(Velocity = \frac{Distance}{Time}\\= \frac{200 m}{10 sec}\\= 20 m/sec\)
Thus, we can conclude that the velocity of a motor cyclist who travelled a distance of 200 m in 10 seconds is 20 m/sec.