A state space model is given. In this problem you can use Matlab and Simulink. * = [_2₂_ _ ² ] x + [²₁] ₂ y = [30]x + Ou a) Find the transfer function Y(s)/U(s) for the system. b) Check that the system is controllable. We want the system to have dominant poles in s= -5 + j5 so that the characteristic polynomial ac(s) = s² + 10s + 50. What settling time and overshoot will the step response have with this pole placement? Find the feedback vector K so that you get the pole position in c). Draw the step response of the system with the K-values in d). c) d) e)
Answers
a. The num and den variables will contain the numerator and denominator coefficients of the transfer function. b. If rankQc is equal to the number of states (2 in this case), then the system is controllable. The MATLAB and Simulink commands are provided as examples, and you may need to adjust them based on your specific system and variable names.
a) To find the transfer function Y(s)/U(s) for the given state space model, we can use the following equations:
Y(s) = C(sI - A)^(-1)B * U(s)
where Y(s) is the Laplace transform of the output vector y(t), U(s) is the Laplace transform of the input vector u(t), A is the system matrix, B is the input matrix, and C is the output matrix.
In this case, the state space model is given as:
A = [[-2, 2], [3, 0]]
B = [[2], [1]]
C = [30, 0]
Substituting the values into the transfer function equation, we get:
Y(s) = [30, 0] * (sI - A)^(-1) * [[2], [1]] * U(s)
To calculate the transfer function, we can use MATLAB's ss2tf function:
A = [-2, 2; 3, 0];
B = [2; 1];
C = [30, 0];
D = 0;
[num, den] = ss2tf(A, B, C, D);
The num and den variables will contain the numerator and denominator coefficients of the transfer function, respectively. You can use them to construct the transfer function in MATLAB.
b) To check the controllability of the system, we need to verify if the controllability matrix has full rank. The controllability matrix is given by:
Qc = [B, AB]
where B is the input matrix and A is the system matrix.
Qc = [B, A*B];
rankQc = rank(Qc);
If rankQc is equal to the number of states (2 in this case), then the system is controllable.
c) To place the dominant poles at s = -5 + j5, we can use the MATLAB command place:
matlab
Copy code
desired_poles = [-5 + 5j, -5 - 5j];
K = place(A, B, desired_poles);
The variable K will contain the feedback vector that achieves the desired pole placement.
d) To draw the step response of the system with the feedback vector K obtained in part c), we can simulate the system in Simulink using the state space model and the feedback controller.
e) The settling time and overshoot of the step response can be obtained by analyzing the step response plot in Simulink or by using MATLAB's stepinfo function:
sys = ss(A - B*K, B, C, D);
step_info = stepinfo(sys);
The step_info variable will contain various characteristics of the step response, including settling time and overshoot.
Please note that the above MATLAB and Simulink commands are provided as examples, and you may need to adjust them based on your specific system and variable names.
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Related Questions
The cylinder C is being lifted using the cable and pulley system shown.
If point A on the cable is being drawn toward the drum with a speed of 1 m/s , determine the velocity of the cylinder.
Answers
Answer:
sry but it's kinda hard
Under ideal conditions, a truck with air brakes going 55 MPH would require a stopping distance of:
Answers
Under ideal conditions, a truck with air brakes going 55 MPH would require a stopping distance of 344 feet.
Stopping distance is the total distance covered by a vehicle from the time the driver perceives the need to stop to the point where the vehicle comes to a complete halt.
The stopping distance is determined by the vehicle's speed, brakes, tires, and roadway surface conditions.
Stopping distance can be determined by adding together the thinking distance and the braking distance. The thinking distance is the distance traveled by the vehicle before the driver can react.
The braking distance is the distance required by the vehicle to come to a halt once the driver applies the brakes.
Under ideal conditions, a truck with air brakes going 55 MPH would require a stopping distance of 344 feet.
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A site is underlain by a soil that has a unit weight of 118 lb/ft3. From laboratory shear strength tests that closely simulated the field conditions, the total stress parameters were measured to be C total = 250 lb/ft2 and φ total = 29°. Estimate the shear strength on a horizontal plane at a depth of 12 ft below the ground surface at this site in lbs/ sq ft
Answers
Answer: the shear strength at a depth of 12 ft is 1034.9015 lb/ft²
Explanation:
Given that;
Weight of soil r = 118 lb/ft³
stress parameter C = 250 lb/ft²
φ total = 29°
depth Z = 12 ft
The shear strength on a horizontal plane at a depth of 12ft
ζ = C + δtanφ
where δ = normal stress
normal stress δ = r × z = 118 × 12 = 1416
so
ζ = C + δtanφ
ζ = 250 + 1416(tan29°)
ζ = 250 + 1416(tan29°)
ζ = 250 + 784.9016
ζ = 1034.9015 lb/ft²
Therefore the shear strength at a depth of 12 ft is 1034.9015 lb/ft²
Technician A says when replacing the battery in the vehicle, you should connect the negative cable last. Technician B says when replacing the battery, you should always use new leads. Who is correct?
Answers
Technician A is correct
When replacing the battery in a vehicle, it is advisable to connect the negative cable last. This is because connecting the negative cable first could potentially create a short circuit if the positive cable accidentally comes into contact with any metal surface in the engine compartment.
By connecting the negative cable last, you minimize the risk of sparks and electrical surges that could damage the vehicle's electrical system or even cause injury.
When replacing a battery, it is essential to disconnect the negative cable first to ensure the safety of the technician and prevent any accidental electrical discharge.
By removing the negative cable first, you break the electrical connection between the battery and the vehicle's electrical system, reducing the risk of electrical shock or short circuits. Once the negative cable is disconnected, you can safely proceed with replacing the battery without the danger of electrical current flowing through the system.
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What components should you inspect if the crankshaft end play is out of specifications?
Answers
Answer:
gdyc ddxtfvytg4dgtfxdwcftcd3rcby
If the crankshaft end play is out of specifications, check for:
Thrust Bearings
Main Bearings
Crankshaft
Crankshaft Thrust Washers
Engine Block
To understand the crankshaft when it is out of specifications, check for:
Thrust Bearings: Check the condition of the thrust bearings, which are located at the front and/or rear of the engine block. Excessive wear or damage to the thrust bearings can contribute to increased crankshaft end play.
Main Bearings: Inspect the main bearings, which support the crankshaft within the engine block. Worn or damaged main bearings can cause excessive movement of the crankshaft.
Crankshaft: Check the crankshaft itself for any signs of damage, such as scoring or bending. A damaged crankshaft may not sit properly within the bearings, leading to increased end play.
Crankshaft Thrust Washers: Some engines use thrust washers to control the end play of the crankshaft. Inspect these washers for wear, damage, or improper installation.
Engine Block: Check the engine block for any signs of damage or distortion that may affect the alignment and support of the crankshaft.
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a divided-highway-ends sign means that the divided highway on which you are traveling ends
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A divided-highway-ends sign indicates that the divided highway on which a driver is traveling will come to an end. This sign serves as a warning to motorists that they will be transitioning from a divided highway.
The purpose of a divided-highway-ends sign is to inform drivers of the upcoming change in road conditions. Divided highways are designed to enhance safety by separating opposing lanes of traffic, reducing the risk of head-on collisions and providing controlled access points. However, there are instances where a divided highway may come to an end, typically due to changes in road design or infrastructure. When drivers encounter a divided-highway-ends sign, they should be prepared for several changes in road conditions. Firstly, the physical barrier or median that separated opposing traffic will cease to exist, and drivers will need to adjust their driving behavior accordingly. Drivers should pay close attention to any accompanying signage or road markings that indicate the new road conditions. It is important to follow any posted instructions, adjust speed accordingly, and be prepared for possible changes in traffic flow or road configuration. A divided-highway-ends sign alerts drivers that they are approaching the end of a divided highway and will be transitioning to a regular undivided roadway. Motorists should be prepared for changes in traffic conditions, exercise caution, and adhere to any new signage or road markings to ensure a safe and smooth transition.
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2. The first step to start a new file in Inventor is *
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The process to begin a new file in Inventor is simple and straightforward. To start a new file, you must take the following steps:1. Start Inventor: To start Inventor, double-click the Inventor icon on your desktop. Alternatively, go to Start menu>All Programs>Autodesk>Inventor to access it.2.
Start New File: After starting Inventor, you must select the option New to create a new file. It can be done in two ways: either by clicking the New icon on the toolbar or by selecting New from the File menu.3. Select the File Type: After selecting the New option, you will be presented with various file types to choose from, such as Part, Assembly, Drawing, or Presentation. You must choose the appropriate file type for your project. For example, choose a Part file if you want to design a 3D object, choose an Assembly file if you want to create an assembly of multiple parts, choose a Drawing file if you want to create a 2D drawing of your 3D object, or choose a Presentation file if you want to create a multimedia presentation of your 3D object.4.
Choose the Template: After selecting the file type, you must choose the appropriate template from the list of available templates. You can either select a default template or a custom template. The template will contain all the required settings and parameters for your project, such as units of measurement, font styles, drawing sheet size, etc.5. Save the File: After selecting the template, you must save the file by providing a suitable file name and location. Once saved, you can start working on your project by adding components, features, and constraints as per your requirements.In conclusion, these are the steps required to start a new file in Inventor. By following these steps, you can quickly start working on your new project.
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1/1 Four forces are exerted on the eyebolt as shown. If the net effect on the bolt is a direct pull of 1200N in the y-direction, determine the necessary values of T and 0.
Answers
We must break down the forces acting on the eyeball into their component parts to calculate the required values of T and (theta), and we must use the concept of equilibrium, which states that the net force acting on an object and net torque are both zero.
Let us examine in more detail the forces affecting the eyeball:
Tension force (T) at an angle θ with the x-axis.Vertical force \(\rm (F_1)\) of 500N acting downward in the negative y-direction.Vertical force \(\rm (F_2)\) of 800N acting downward in the negative y-direction.Vertical force \(\rm (F_3)\) of 600N acting upward in the positive y-direction.The equations for balancing in the x and y directions will now be presented as:
No pressure is acting in the x-direction, so the tension force is zero in that direction: T * cos(θ) = 0
T * sin(θ) + \(\rm F_1 + F_2 - F_3\)= 1200N (net pull force of 1200N in y-direction due to tension force in y-direction, f1, f2 and f3)
Let us now find the value of T and θ:
From the x-direction equation, we get:
T * cos(θ) = 0
T = 0
From the y-direction equation, we get:
0 + 500N + 800N - 600N = 1200N
T * sin(θ) = 1200N
T = 1200N / sin(θ)
Since T cannot be both 0 and 1200N, it implies that sin(θ) must be equal to 1:
sin(θ) = 1
To find θ, we take the inverse sine (or arcsine) of 1:
θ = arcsin(1)
The arcsine of 1 is 90 degrees or π/2 radians.
Therefore, the values are T = 1200N / sin(θ) = 1200N / 1 = 1200N and θ = 90 degrees or π/2 radians.
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according to the text which of the following may be the most significant influence on long term substance abuse
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Which of the following could have the biggest impact on long-term substance dependence, according to the text Peer networks.
A group of computers connected by a network share resources that are provided or made accessible by network nodes. Through digital networks, the computers communicate with one another in accordance with defined communication protocols. These connections are made up of telecommunication network technologies, which are based on physically connected, optical, and wireless radio-frequency methods and can be set up in a number of network topologies. Desktop computers, servers, networking equipment, and other specialized or general-purpose hosts can all function as nodes in a computer network. They can have hostnames and can be identified by their network addresses. Once allocated, hostnames serve as the nodes' recognizable labels; they are rarely changed. Network addresses are used by communication systems like the Internet Protocol to locate.
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1. A wood board is one of a dozen different parts in a homemade robot kit. The width, depth, and height dimensions of the board are 7. 5 x 14 x 1. 75 inches, respectively. The board is made from southern yellow pine, which has an air dry weight density of. 025 lb/in. 3. A. What is the volume of the wood board? Precision = 0. 0
Answers
This question uses the theory of volume, which states that the volume of an object is the product of its width, depth, and height. The volume of the wood board is 221.25 cubic inches.
What is the volume of an object?
Volume is a measure of the amount of three-dimensional space a substance or object occupies. It is the amount of space that an object or substance occupies, or that is enclosed within a container. It is usually expressed in cubic units, such as liters (L), cubic centimeters (cm3), or cubic meters (m3). The basic formula for calculating the volume of a three-dimensional shape is length x width x height. This formula can be used to calculate the volume of a cube, rectangular prism, cylinder, or other three-dimensional shape.
The steps for the answer as follows:
Step 1: Calculate the volume of the board. This is done by multiplying the width, depth and height of the board together.
Step 2: The width, depth, and height of the board are 7.5, 14, and 1.75 inches, respectively.
Therefore, the volume of the board is 7.5 x 14 x 1.75 = 221.25 cubic inches.
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Which of these credit building options do you personally think is the easiest method that you can see yourself doing? Explain your reasoning.
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Answer:
Explanation:
Your 3-B Annual Credit Reports & Scores with Enhanced Credit Report Monitoring.
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The credit building options that I think is the easiest method that you can see yourself doing is Secured credit cards.
What is the Secured credit cards?Secured credit cards are known to be a type of card that are said to be backed by a specific refundable security deposit.
This kind of deposit is known to limit or lower the lender's risk and thus makes it better for people who do not have credit or when they do not qualify for that type of credit. This credit option is easier to get when compared to unsecured cards, as it does not need a lot of requirement.
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What arethe two tag codes for performing ordered and un ordered lits using HTML
Answers
Answer:
The HTML ul tag is used for the unordered list. There can be 4 types of bulleted list: To represent different ordered lists, there are 4 types of attributes in <ul> tag. This is the default style. In this style, the list items are marked with bullets.
Answer:
Ordered
\({ \tt{ < ol > .... < / ol > }}\)
Unordered
\({ \tt{ < ul > .... < /ul > }}\)
Under a subsection for geological hazards the buyer is encouraged to obtain an read the booklet
Answers
Answer:
Buyer is encouraged to obtain and read the booklet entitled "The Homeowners Guide to Earthquake Safety." In most cases a questionnaire within the booklet must be completed by Seller and the entire booklet given to the Buyer if the Property was built prior to 1960.
The construction of more __________ across Oklahoma rural areas occurred as a result of the passage of the Rural Electrification Administration program (REA). A. coal power plants B. hydroelectric dams C. transistors D. power lines
Answers
Answer:
D. power lines
I hope this helps...
Please mark me Brainliest
The construction of more power lines across Oklahoma rural areas occurred as a result of the passage of the Rural Electrification Administration program (REA). So the correct option is D.
The Rural Electrification Administration (REA) program was established in the United States in 1935 as part of President Franklin D. Roosevelt's New Deal. Its aim was to bring electricity to rural areas that were not yet connected to the power grid. The REA provided loans and assistance to local cooperatives and utilities for the construction of power lines and electrical infrastructure in rural communities.
As a result of the REA program, power lines were extended to previously underserved rural areas, allowing for the widespread availability of electricity. This development had a significant impact on rural communities, improving their quality of life and enabling the adoption of electrical appliances, lighting, and other modern conveniences.
Therefore option D is correct.
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gradual process by which machines replaced hand tools
Answers
The Industrial Revolution refers to the gradual process by which machines replaced hand tools in the early 1800s.
What is Industrial Revolution?
The Industrial Revolution was a period of significant change from the mid-18th century to the mid-19th century, characterized by the transition from hand-based to machine-based manufacturing, increased agricultural productivity, and new developments in transportation.
The growth of iron and textile industries marked the beginning of this era, which spread throughout Britain and eventually to other countries in Europe and North America. It brought about massive changes in the way goods were produced, leading to higher levels of efficiency and a shift from a agrarian to an industrialized economy, transforming the lives of millions of people and setting the stage for the modern era.
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A circular casting is 0.3 m in diameter and 0.6 m in length. Another casting of the same metal is elliptical in cross section, with a major-to-minor axis ratio of 2.5 and has the same length and cross sectional area as the circular casting. Both pieces are cast under the same conditions. What is the ratio of the solidification times of the two castings
Answers
Let's begin by determining the volume of the circular casting using the formula V = πr²h where r is the radius and h is the height/length of the cylinder.
Since the two castings have the same cross-sectional area, we can use the area of the circular casting as the cross-sectional area for the elliptical casting. Area of the circular casting = πr² = π(0.15)² = 0.07069 m²Volume of elliptical casting = \(0.07069 x 0.6 = 0.04241\) m³The solidification time is proportional to the volume-to-surface area ratio. So we can find the ratio of the solidification times by comparing the volume-to-surface area ratios of the two castings.
Let's start with the circular casting. The surface area of a cylinder is given by the formula A = 2πrh + 2πr², where r is the radius and h is the height/length of the cylinder.
Surface area of circular casting = \(2π(0.15)(0.6) + 2π(0.15)² = 0.4247\)m²The volume-to-surface area ratio of the circular casting is therefore:0.04247 / 0.4247 = 0.09997 m.
Surface area of elliptical casting = \(2π(0.15)(0.6) + 2π(0.15)²(2.5/0.6) ln((1 + √2.5² - 1) / √2.5² - 1)) = 0.2893\) m²The volume-to-surface area ratio of the elliptical casting is therefore:0.04241 / 0.2893 = 0.1465 mThe ratio of the solidification times is therefore:
0.09997 / 0.1465 = 0.6825 or approximately 0.68.The ratio of the solidification times of the two castings is approximately 0.68.
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A pulse-jet baghouse is desired for a finished cement plant. Calculate the number of bags required to filter 500 m3/min of air with a dust loading of 3.0 g/m3. Each bag is 3.0 m long with a 0.13 m diameter. If the average pressure drop is 1.0 kPa and the main fan is 60% efficient, calculate the fan power in kW. If the pulse air volumetric flow rate is 0.5% of the filter airflow rate and the pulse air pressure is 6.0 atm, calculate the power drawn by a 50% efficient compressor (in kW).
Answers
Answer:
1) 4.41 * 10^-4 kw
2) 2.20 * 10^-4 kw
Explanation:
Given data:
Filter = 500 m^3/min
dust velocity = 3g/m^3
bag ; length = 3 m , diameter = 0.13 m
change in pressure = 1 kPa
efficiency = 60%
1) Calculate the Fan power
First :
Calculate the total dust loading = 3 * 500 = 1500 g
To determine the Fan power we will apply the relation
\(n_{o} = \frac{\frac{p}{eg*Q*h} }{1000}\) = \(\frac{\frac{p}{(3*10^{-3})* 981*( 500/60) *3 } }{1000}\)
fan power ( \(n_{0}\) ) = 4.41 * 10^-4 kw
2) calculate power drawn
change in P = 6 atm = 6 * 10^5 pa
efficiency compressor = 50%
hence power drawn = 4.41 * 10^-4 kw * 50% = 2.20 * 10^-4 kw
forty gal/min of a hydrocarbon fuel having a spesific gravity of 0.91 flow into a tank truck with load limit of 40,000 lb of fuel. How long will it takee to fill the tank in the truck?
Answers
Answer: 131.75minutes
Explanation:
First if all, we've to find the density of liquid which will be:
= Specific gravity × Density to pure water
= 0.91 × 8.34lb/gallon
= 7.59lb/gallon
Then, the volume that's required to fill the tank will be:
= Load limit/Density of fluid
= 40000/7.59
= 5270.1gallon
Now, the time taken will be:
= V/F
= 5270.1/40
= 131.75min
It'll take 131.75 minutes to fill the tank in the truck.
Which thematic group is involved in the transmission and generation of electrical power?
a.Communication Systems
b.Control Systems
c.Computer Systems
d.Energy Systems
e.Electronic Systems
Answers
Answer:
The 17 distinct years Mariah Carey has topped Billboard's Hot 100, spanning an historic four consecutive decades:
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2005
2006
2008
2019
2020
2021
You are working with the ToothGrowth dataset. You want to use the skim_without_charts() function to get a comprehensive view of the dataset. Write the code chunk that will give you this view. How many rows does the ToothGrowth dataset contain?. A.40 B.60 C.50 D.25
Answers
Dataset There are 60 rows in the tooth growth data. Different possibilities for chunks exist. This view will be provided to me by the code block skim without charts (ToothGrowth).
What is utilized in R language statistical analysis?R analytics uses the R programming language, an open-source language for statistical computing or graphics, to analyze data. Data mining and statistical analysis frequently use this programming language.
Which columns' names appear in the ToothGrowth dataset?The dataset's dimensions are as follows. The dataset's description states that "len" stands for tooth length, "dose" for daily dose in milligrams, and "supp" for supplement kind. Ascorbic acid is "VC," and orange juice is "OJ," to be more accurate.
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What quantity measures the effect of change?
control variable
independent variable
relative variable
dependent variable
Answers
Answer:
The Dependent Variable is the Effect, Its value depends on changes from the Independent Variable
Hope this Helps
Acquisition of resources from an external source is called?
Answers
Answer:
subcontracting
Explanation:
I hope this is right
draw the shear diagram for 0 ≤ x ≤ 14 ft of the compound beam.
Answers
Equilibrium state: If the algebraic sum of all the forces acting on the body equals zero, and the algebraic sum of all the moments about any point equals zero, the body is said to be in equilibrium.
Diagram of a free body:
A free-body diagram depicts all of the forces acting on the body.
Shear force and bending moment diagrams show the shear force and bending moment at each segment and point of the beam.
Maximum bending moment location:
At the point of zero shear force, the beam has the greatest bending moment.
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Is the impedance of the capacitor purely reactive, and how does it compare to the nominal value of the ideal capacitor? Why or why not is it purely reactive?
Answers
In an electric field, a capacitor is a device that stores electrical energy. It has two terminals and is a passive electrical component. Capacitance refers to a capacitor's effect.
What is the impedance of an ideal capacitor?An perfect capacitor has an infinite resistance. For all frequencies and capacitance levels, the reactance of a perfect capacitor, and consequently its impedance, is negative.A capacitor that has no resistance and therefore doesn't lose any energy while it's operating is the ideal capacitor. It just possesses capacitance. There is no dielectric loss in a perfect capacitor. High temperature stability characterizes the ideal capacitor.As capacitance and frequency increase, capacitive reactance falls. Impedance is the complete opposition that reactance and resistance give.Similar to inductors, the ideal capacitor is a totally reactive device with no resistive (power dissipative) effects whatsoever. Of course, nothing is so flawless in the actual world. Capacitors, however, have the advantage of often being more pure reactive componentsTo learn more about Ideal capacitor refer to:
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Select a movement with which you are familiar and list at least five questions that you, as a movement analyst, might ask the performer of the movement to gain additional knowledge about a performance
Answers
A movement that I am familiar is a religious movement known as Heavenly conscious movement and the things i want them to gain additional knowledge about a performance on:
The right way to live.The right way to pray.Becoming closer in our walk with God.Becoming closer in our work with God.Helping others to see the light.What in history is a movement?A movement is known to be one that make use of planning as well as unpredictability. The movement is one that is given identity, leadership, as well as coordination by one or more organizations.
Therefore, A movement that I am familiar is a religious movement known as Heavenly conscious movement and the things i want them to gain additional knowledge about a performance on:
The right way to live.The right way to pray.Becoming closer in our walk with God.Becoming closer in our work with God.Helping others to see the light.Learn more about religious movements from
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design process 8 steps with definition
Answers
Answer:
Step 1: Define the Problem.
Step 2: Do Background Research. .
Step 3: Specify Requirements. .
Step 4: Brainstorm, Evaluate and Choose Solution.
Step 5: Develop and Prototype Solution.
Step 6: Test Solution.
Step 7: Does Your Solution Meet the Requirements?
Step 8: Communicate Results.
can u tell me the definition tho?
palled correctly as “though” which is an alternate form of “although”) at the end is informal usage. It's better placed before “she seems better today
write a program which calls a function relprime3(a, b, c) which returns true if all pairs of the three nimbers passed to it are relatively prime. the function relPrime3 should call your function relPrime from problem #1 of this assigment yhree times. here is some sample input and output of your program (run twice). your function should not call the print or input functions ; that should be done in your main program
Answers
Here's a Python program that defines the relprime3 function and uses it to check if all pairs of three numbers passed to it are relatively prime. It also calls the relPrime function from Problem #1 to check if two numbers are relatively prime.
python
Copy code
def gcd(a, b):
if a == 0:
return b
return gcd(b % a, a)
def relPrime(a, b):
return gcd(a, b) == 1
def relprime3(a, b, c):
if not relPrime(a, b):
return False
if not relPrime(a, c):
return False
if not relPrime(b, c):
return False
return True
# Sample input
a = 3
b = 5
c = 7
# Call relprime3 function
result = relprime3(a, b, c)
# Print output
print(f"Are {a}, {b}, and {c} relatively prime? {result}")
In this program, gcd is a function that calculates the greatest common divisor of two numbers. relPrime is a function that returns True if two numbers are relatively prime (i.e. their greatest common divisor is 1).
The relprime3 function takes three arguments a, b, and c, and checks if all pairs of the three numbers are relatively prime by calling relPrime three times. If any pair of numbers is not relatively prime, it returns False. Otherwise, it returns True.
In the sample input, the program checks if 3, 5, and 7 are relatively prime by calling relprime3(3, 5, 7). The output should be:
sql
Copy code
Are 3, 5, and 7 relatively prime? True
You can run the program multiple times with different inputs to check if the relprime3 function is working correctly.
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HELPPPPP Which option identifies the government agency responsible for monitoring the situation in the following scenario? A salmonella outbreak in 2012 was caused by frozen raw yellowfin tuna. More than 100 people became sick from eating the contaminated tuna. Food and Drug Administration Environmental Protection Agency Forest Service Department of Agriculture
Answers
Answer:
Food and drug admin
Explanation:
A wastewater treatment plant treats 20 MGD of wastewater containing 950 mg/L of suspended solids in a primary clarifier that has a 20% suspended solids removal efficiency. The rate of sludge collection, the flow rate out the bottom of the clarifier, is 0.08 MGD.
a) What is the solids concentration (in mg/L) in the sludge leaving the clarifier?
b) What mass of solids (in kg/y) is removed annually by the primary clarifier?
Answers
Answer:
a) 47500 mg/L
b) 5250366.444 kg/year
Explanation:
Given data:
suspended solids removal efficiency = 20%
Flowrate in the primary clarifier ( Q ) = 20 MGD ( change to Liters/day
Q = 20* 10^6 * 3.785412 Liters /day
settled concentration ( St ) = 950mg/L * 0.2 = 190 mg/L
amount of settled solid = Q * St
= ( 20* 10^6 * 3.785412 ) * 190 = 14384.5656 kg/day
∴ Amount going into sludge with a flowrate of 0.08 MGD = 14384.5656 kg/day
a) concentration of solid in sludge ( leaving the clarifier )
= amount of settled solid / flow rate out of the clarifier in liters/day
= 14384.5656 / ( 0.08 * 10^6 * 3.785412 )
= 0.0475 kg/L
= 47500 mg/L
b) Determine mass of solids that is removed annually
= 14384.5656 kg/day * 365 days
= 5250366.444 kg/year
what is the best additive to use to try to minimize the whinning noise in a 1956 chevy powerglide transmission?
Answers
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