5. A driver is traveling at 90 km/h on a wet road. An object is spotted on the road 140m ahead and the driver is able to come to a stop just before hitting the object. Assuming standard reaction time and using the practical-stopping distance equation, determine the grade of the road.
Answers
Answer: Check the attached
Explanation:
Related Questions
Maintaining an optimistic attitude, building self-efficacy, strengthening stress inoculation, experiencing secure personal relationships, and practicing spirituality or religiosity are factors to help individuals thrive in the face of _____.
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Optimistic attitude, self-efficacy, stress inoculation, secure relationships, and spirituality are factors that help individuals cope with adversity. These elements foster hardiness and stress-related growth, allowing individuals to manage chronic and acute stressors more effectively and pursue personal development.
Explanation:Maintaining an optimistic attitude, building self-efficacy, strengthening stress inoculation, experiencing secure personal relationships, and practicing spirituality or religiosity are factors to help individuals thrive in the face of adversity.
Adversity can include both chronic stressors, such as long-term unemployment, and acute stressors, like illnesses or loss. These stressors require coping mechanisms and personal strengths for an individual to manage effectively. Optimism is a general tendency to expect positive outcomes and it contributes to less stress and happier dispositions. Self-efficacy, defined by Albert Bandura, is the belief in one's abilities to reach goals, which empowers a proactive response to stressors. The concept of hardiness, which relates to optimism and self-efficacy, describes those who are less affected by life's stressors and use effective coping strategies.
Furthermore, stress-related growth or thriving describes the ability of individuals to exceed previous performances and show increased strength in the face of adversity. The nurturing of secure personal relationships provides social support that can aid in increasing positive affect and reducing the number of physical symptoms during stressful times.
The two pond system is fed by a stream with flow rate 1.0 MGD (million gallons per day) and BOD (nonconservative pollutant) concentration of 20 mg/L. The rate of decay of BOD is 0.3/day. The volume of the first pond is 5 million gallons and the second is 3 million. Assuming complete mixing within the pond, find the BOD concentration leaving each pond.
Answers
Answer: First pond= 8.0 mg/L
second pond = 4.2 mg/L
Explanation:
Cn/Co = [ 1/ [ 1 + (k*t/n)]]
for the first pond
where Co into the first pond is 20mg/L,
Cn = 20*[ 1/ [ 1+ ((1 x 5)/0.3)]]
Cn = 8 mg/L
into the second pond we calculate the BOD leaving the pond of volume 3million liters
we have Cn = 4.2 mg/L
The passageway between the riser and the main cavity must have a small cross-sectional area to minimize waste of casting metal: True or False
Answers
Answer:
True
Explanation:
The passageway between the riser and the main cavity must have a small cross-sectional area to reduce waste of material in metal casting.
Problem 4: The built-in function clock returns a row vector that contains 6 elements: the first three are the current date (year, month, day) and the last three represent the current time in hours (24 hour clock), minutes, and seconds. The seconds is a real number, but all others are integers. Use function sprintf to accomplish the following formatting exercises. a) Get the current date and time and store them in p4a. The current date and time should be the date and time when the grader calls your script. b) Using the format 'YYYY:MM:DD', write the current date to string p4b. Here, YYYY, MM, and DD correspond to 4-digit year, 2-digit month, and 2-digit day, respectively. c) Using the format 'HH:MM:SS.SSSS', write the current time to string p4c. Here, HH, MM, and SS.SSSS correspond to 2-digit hour, 2-digit minute and 7-character second (2 digits before the decimal point and 4 digits after the decimal points), respectively. d) Remove the last 5 characters from the string in part (c) so that the format is now 'HH:MM:SS'. Put the answer into string p4d. e) Combine the strings in part (b) and part (d) together separated by a single space. Put theanswer in string p4e
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The velocity components u and v in a two-dimensional flow field are given by: u = 4yt ft./s, v = 4xt ft./s, where t is time. What is the time rate of change of the velocity vector V (i.e., the acceleration vector) for a fluid particle at x = 1 ft. and y = 1 ft. at time t = 1 second?
Answers
Answer:
vec(a) = 16 i + 16 j
mag(a) = 22.63 ft/s^2
Explanation:
Given,
- The two components of velocity are given for fluid flow:
u = 4*y ft/s
v = 4*x ft/s
Find:
What is the time rate of change of the velocity vector V (i.e., the acceleration vector) for a fluid particle at x = 1 ft. and y = 1 ft. at time t = 1 second?
Solution:
- The rate of change of velocity is given to be acceleration. We will take derivative of each components of velocity with respect to time t:
a_x = du / dt
a_x = 4*dy/dt
a_y = dv/dt
a_y = 4*dx/dt
- The expressions dx/dt is the velocity component u and dy/dt is the velocity component v:
a_x = 4*(4*y) = 16y
a_y = 4*(4*x) = 16x
- The acceleration vector can be expressed by:
vec(a) = 16y i + 16x j
- Evaluate vector (a) at x = 1 and y = 1:
vec(a) = 16*1 i + 16*1 j = 16 i + 16 j
- The magnitude of acceleration is given by:
mag(a) = sqrt ( a^2_x + a^2_y )
mag(a) = sqrt ( 16^2 + 16^2 )
mag(a) = 22.63 ft/s^2
From an email message sent to all employees of a law firm advising them to be alert for a new virus: This virus has been known to cause the destruction of files, and it is very important that you perform a search of your hard drive to try and attempt eradication of it using the search feature. Search for .EDT file extensions and delete them. Then the problem will be solved
Answers
Answer:true
Explanation: I’m fram wokonda
The email message you provided is advising law firm employees to be alert for a new virus that can destroy files.
How to explain the emailsThe virus is associated with .EDT file extensions, so the email message suggests that employees search their hard drives for these files and delete them.
This advice is generally sound. .EDT files are associated with Adobe Digital Editions, a software program that is used to read eBooks. If a .EDT file is infected with a virus, it could potentially damage or destroy the eBook that it is associated with.
However, it is important to note that not all .EDT files are infected with viruses. It is possible that an employee may have a legitimate .EDT file that they need to keep. Therefore, before deleting any .EDT files, it is important to make sure that they are not infected.
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A flow is described by velocity field V=ai+bxj where a = 2 (m/s) and b = 1 (1/s) , coordinates are measured in meters. a) Obtain the equation for the streamline passing through the point (2,5). b) At t=2s , what are the coordinates of the particle that passed through point (0,4) at t=0. c) At t=3s , what are the coordinates of the particle that passed through point (1,4.25) 2 seconds earlier.
Answers
Answer:
Explanation:
The concept of differential in rate of change is applied to solve the problem.
First is to compare the equation given V=ai+bxj , where u = a and v = bx.
the detailed steps and appropriate integration and substitution is as shown in the attached file.
The streamline equation and the coordinates of the point are
A) [tex]x^2-4y+16[/tex]
B) (4, 12)
C) (3, 11.25)
Given that, [tex]V=ai+bxj[/tex], [tex]a=\frac{2m}{s}[/tex] and [tex]b=1s^{-1}[/tex]
Putting the value, we get
[tex]V=2i+1.xj[/tex]
From this equation, we get
[tex]u=2\frac{m}{s}[/tex] and [tex]v=x\frac{m}{s}[/tex]
Obtain the equation for the streamline passing through the point (2,5), streamline equation
[tex]\frac{dx}{u}=\frac{dy}{v}[/tex]
Putting the value, we get
[tex]\frac{dx}{2}=\frac{dy}{x}[/tex]
rearrange it and do integration:
[tex]\int xdx=\int 2dy[/tex]
[tex]\frac{x^2}{2}=2y+c -------(i)[/tex]
C is the integration constant.
[tex]\frac{2^2}{2}=(2\times5)+C[/tex]
[tex]C=-8[/tex]
Put the value of C in equation (i), we get
[tex]\frac{x^2}{2}=2y-8[/tex]
[tex]y=\frac{x^2}{4}+4[/tex]
[tex]x^2-4y+16=0[/tex]
b) [tex]u=2\frac{m}{s}[/tex]
[tex]\frac{dx}{dt}=2[/tex]
Rearrange and integrate
[tex]\int dx=\int 2dt[/tex]
[tex]x=2t+C_1[/tex]
Put x=0 and t=0
[tex]0=0+C_1[/tex]
[tex]C_1=0[/tex]
Put the value of constant we get
[tex]x=2t[/tex]
at [tex]t=2s[/tex]
[tex]x=2\times2= 4 --------(2)[/tex]
Now, [tex]v=x \frac{m}{s}[/tex]
[tex]\frac{dy}{dt}=x[/tex]
Rearrange and integrate:
[tex]\int dy=\int xdt[/tex]
[tex]y=xt+C_2[/tex]
Putting the value of x, y and t we get the value of constant.
[tex]4(0\times0)+C_2[/tex]
[tex]C_2=4[/tex]
Putting the value of constant we get
[tex]y=xt+4[/tex]
Put the value of [tex]t=2[/tex] and [tex]x=4[/tex] we get
[tex]y=(4\times2)+4[/tex]
[tex]= 8+4[/tex]
[tex]y= 12 -------(3)[/tex]
From (2) and (3)
we get the coordinates of the particle that passed through point [tex](0,4)[/tex] at [tex]t=0[/tex].
After [tex]t=2s[/tex] as [tex](4, 12)[/tex]
c) first we have to find the integration constant through initial condition then put the value of time to get the coordinates.
From above we have:
(1) [tex]x=2t+C_1[/tex] and
(2) [tex]y=xt+C_2[/tex]
Given [tex]t=2s[/tex] and [tex]P(1, 4.25)[/tex]
Putting the value in first equation, we get
[tex]1=(2\times2)+C_1[/tex]
[tex]C_1 =-3[/tex]
Put the value of time [tex]t=3s[/tex] we get
[tex]x=(2\times3)-3=3 ---------(a)[/tex]
Now, putting the value in second equation we get
[tex]4.25=(1\times2)+C_2[/tex]
[tex]C_2 =2.25[/tex]
Then [tex]y=xt+2.25[/tex]
Put the value of time [tex]t=3s[/tex] we get
[tex]y=(3\times3)+2.25=11.25 -------(b)[/tex]
From (a) and (b) we get the coordinate of the point after [tex]t=3s[/tex] is [tex](3, 11.25)[/tex].
Therefore, streamline equation and the coordinates of the point are
A) [tex]x^2-4y+16[/tex]
B) (4, 12)
C) (3, 11.25)
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Determine the values of the lumped parasitic capacitor and inductor in a 5 ft long two-wire transmission line with air dielectric (See Chapter 7 in the Stanley and Harrington textbook). Each wire has a diameter of 1 mm and the separation between the wires is 1 inch. Show your calculations and the equations used.
Answers
Answer: See attachment below
Explanation:
Automobiles must be able to sustain a frontal impact. Specifically, the design must allow low speed impacts with little damage, while allowing the vehicle front end structure to deform and absorb impact energy at higher speeds. Consider a frontal impact test of a vehicle with a mass of 1000 kg. a. For a low speed test (v = 2.5 m/s), compute the energy in the vehicle just prior to impact. If the bumper is a pure elastic element, what is the effective design stiffness required to limit the bumper maximum deflection during impact to 4 cm? b. At a higher speed impact of v = 25 m/s, considerable deformation occurs. To absorb the energy, the front end of a vehicle is designed to deform while providing a nearly constant force. For this condition, what is the amount of energy that must be absorbed by the deformation [neglecting the energy stored in the elastic deformation in (a)? If it is desired to limit the deformation to 10 cm, what level of resistance force is required? What is the deacceleration of the vehicle in this condition?
Answers
Answer:
Explanation:
The concept of Hooke's law was applied as it relates to deformation.
The detailed steps and appropriate substitution is as shown in the attached file.
Please write the command(s) you should use to achieve the following tasks in GDB. 1. Show the value of variable "test" in hex format. 2. Show the top four bytes on your stack word-by-word, e.g. it should look something like this "0x0102 0x0304", NOT "0x01020304". 3. Check all register values. 4. Set a breakpoint at "ece.c" line 391
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You can use a series of commands to accomplish various tasks in GDB: 'print /x test' to view a variable in hex format, 'x/4wx $sp' to read the top four bytes on your stack by word, 'info registers' to check all register values, and 'break ece.c:391' to set a breakpoint at a specific line.
Explanation:To achieve the tasks in GDB, you will need to use the following commands:
To show the value of variable "test" in hexadecimal format, use the command: 'print/x test'.Read the top four bytes on your stack word-by-word with the command: 'x/4wx $sp'.Check all register values with the command: 'info registers'.To set a breakpoint at "ece.c" line 391, use the command: 'break ece.c:391'.Learn more about GDB Commands here:
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Two balanced Y-connected loads in parallel, one drawing 15kW at 0.6 power factor lagging and the other drawing 10kVA at 0.8 power factor leading, are supplied by a balanced, three-phase, 480-volt source. (a) Draw the power triangle for each load and for the combined load. (b) Determine the power factor of the combined load and state whether lagging or leading. (c) Determine the magnitude of the line current from the source. (d) Δ-connected capacitors are now installed in parallel with the combined load. What value of capacitive reactance is needed in each leg of the A to make the source power factor unity? Give your answer in Ω. (e) Compute the magnitude of the current in each capacitor and the line current from the source.
Answers
Answer:
(a) attached below
(b) [tex]pf_{C}=0.85[/tex] [tex]lagging[/tex]
(c) [tex]I_{C} =32.37 A[/tex]
(d) [tex]X_{C} =49.37[/tex] Ω
(e) [tex]I_{cap} =9.72 A[/tex] and [tex]I_{line} =27.66 A[/tex]
Explanation:
Given data:
[tex]P_{1}=15 kW[/tex]
[tex]S_{2} =10 kVA[/tex]
[tex]pf_{1} =0.6[/tex] [tex]lagging[/tex]
[tex]pf_{2}=0.8[/tex] [tex]leading[/tex]
[tex]V=480[/tex] [tex]Volts[/tex]
(a) Draw the power triangle for each load and for the combined load.
[tex]\alpha_{1}=cos^{-1} (0.6)=53.13[/tex]°
[tex]\alpha_{2}=cos^{-1} (0.8)=36.86[/tex]°
[tex]S_{1}=P_{1} /pf_{1} =15/0.6=25 kVA[/tex]
[tex]Q_{1}=P_{1} tan(\alpha_{1} )=15*tan(53.13)=19.99[/tex] ≅ [tex]20kVAR[/tex]
[tex]P_{2} =S_{2}*pf_{2} =10*0.8=8 kW[/tex]
[tex]Q_{2} =P_{2} tan(\alpha_{2} )=8*tan(-36.86)=-5.99[/tex] ≅ [tex]-6 kVAR[/tex]
The negative sign means that the load 2 is providing reactive power rather than consuming
Then the combined load will be
[tex]P_{c} =P_{1} +P_{2} =15+8=23 kW[/tex]
[tex]Q_{c} =Q_{1} +Q_{2} =20-6=14 kVAR[/tex]
(b) Determine the power factor of the combined load and state whether lagging or leading.
[tex]S_{c} =P_{c} +jQ_{c} =23+14j[/tex]
or in the polar form
[tex]S_{c} =26.92<31.32[/tex]°
[tex]pf_{C}=cos(31.32) =0.85[/tex] [tex]lagging[/tex]
The relationship between Apparent power S and Current I is
[tex]S=VI^{*}[/tex]
Since there is conjugate of current I therefore, the angle will become negative and hence power factor will be lagging.
(c) Determine the magnitude of the line current from the source.
Current of the combined load can be found by
[tex]I_{C} =S_{C}/\sqrt{3}*V[/tex]
[tex]I_{C} =26.92*10^3/\sqrt{3}*480=32.37 A[/tex]
(d) Δ-connected capacitors are now installed in parallel with the combined load. What value of capacitive reactance is needed in each leg of the A to make the source power factor unity?Give your answer in Ω
[tex]Q_{C} =3*V^2/X_{C}[/tex]
[tex]X_{C} =3*V^2/Q_{C}[/tex]
[tex]X_{C} =3*(480)^2/14*10^3[/tex] Ω
(e) Compute the magnitude of the current in each capacitor and the line current from the source.
Current flowing in the capacitor is
[tex]I_{cap} =V/X_{C} =480/49.37=9.72 A[/tex]
Line current flowing from the source is
[tex]I_{line} =P_{C} /3*V=23*10^3/3*480=27.66 A[/tex]
An ant starts at one edge of a long strip of paper that is 34.2 cm wide. She travels at 1.3 cm/s at an angle of 61◦ with the long edge. How long will it take her to get across? Answer in units of s.
Answers
Answer:
t = 30.1 sec
Explanation:
If the ant is moving at a constant speed, the velocity vector will have the same magnitude at any point, and can be decomposed in two vectors, along directions perpendicular each other.
If we choose these directions coincident with the long edge of the paper, and the other perpendicular to it, the components of the velocity vector, along these axes, can be calculated as the projections of this vector along these axes.
We are only interested in the component of the velocity across the paper, that can be calculated as follows:
vₓ = v* sin θ, where v is the magnitude of the velocity, and θ the angle that forms v with the long edge.
We know that v= 1.3 cm/s, and θ = 61º, so we can find vₓ as follows:
vₓ = 1.3 cm/s * sin 61º = 1.3 cm/s * 0.875 = 1.14 cm/s
Applying the definition of average velocity, we can solve for t:
t =[tex]\frac{x}{vx}[/tex] = [tex]\frac{34.2 cm}{1.14 cm/s} =30.1 sec[/tex]
⇒ t = 30.1 sec
Write a static method called quadrant that takes as parameters a pair of real numbers representing an (x, y) point and that returns the quadrant number for that point. Recall that quadrants are numbered as integers from 1 to 4 with the upper-right quadrant numbered 1 and the subsequent quadrants numbered in a counter-clockwise fashion:
Answers
Full Question
Write a static method called quadrant that takes as parameters a pair of real numbers representing an (x, y) point and that returns the quadrant number for that point.
Recall that quadrants are numbered as integers from 1 to 4 with the upper-right quadrant numbered 1 and the subsequent quadrants numbered in a counter-clockwise fashion. Notice that the quadrant is determined by whether the x and y coordinates are positive or negative numbers. If a point falls on the x-axis or the y-axis, then the method should return 0.
Answer
public int quadrant(double x, double y) // Line 1
{
if(x > 0 && y > 0){ //Line 2
return 1;
}
if(x < 0 && y > 0){ // Line 3
return 2;
}
if(x < 0 && y < 0) {// Line 4
return 3;
}
if(x > 0 && y < 0) {// Line 5
return 4;
}
return 0;
}
Explanation:
Line 1 defines the static method.
The method is named quadrant and its of type integer.
Along with the method definition, two variables x and y of type double are also declared
Line 2 checks if x and y are greater than 0.
If yes then the program returns 1
Line 3 checks if x is less than 0 and y is greater than 0
If yes then the program returns 2
Line 4 checks if x and y are less than 0
If yes then the program returns 3
Line 5 checks is x is greater than 0 and y is less than 0
If yes then the program returns 4
An 80-percent-efficient pump with a power input of 20 hp is pumping water from a lake to a nearby pool at a page 101rate of 1.5 ft3/s through a constant-diameter pipe. The free surface of the pool is 80 ft above that of the lake. Determine the mechanical power used to overcome frictional effects in piping. Answer: 2.37 hp
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To calculate the mechanical power used to overcome friction in piping for the described pump operation, calculate the hydraulic power needed, then subtract the pump's output power (based on its efficiency) from its total input.
Explanation:The question involves determining the mechanical power used to overcome frictional effects in piping for an 80-percent-efficient pump with a power input of 20 hp, which is pumping water at a rate of 1.5 ft3/s from a lake to a pool 80 ft above. Firstly, calculate the total hydraulic power required to move the water to the desired height, then calculate the power output of the pump based on its efficiency. Finally, subtract this value from the total input power to find the power used to overcome friction.
Steps to Solve:Calculate the hydraulic power needed using the formula P = ρghQ, where ρ is the density of water, g is the acceleration due to gravity, h is the height difference, and Q is the flow rate.Calculate the efficient power output of the pump (Actual Power Output) using its efficiency and the input power.Subtract the pump's output power from its input to find the power lost to friction.Through such calculations, one can find that the mechanical power used to overcome frictional effects in piping is 2.37 hp.
The specific volume of water vapor at 0.3 MPa, 160°C is 0.651 m3/kg. If the water vapor occupies a volume of 1.2 m3, determine the amount present, in kg.
Answers
The amount of water vapor present, we can use the relationship between specific volume, volume, and mass.
Specific volume= Volume/ Mass, (v) at a certain condition is 0.651 m³/kg and the volume (V) occupied by the water vapor is 1.2 m³, we can rearrange the formula to solve for mass (m):
Mass= Specific volume/ Volume
= 1.2/ 0.651
Mass= 1.2/ 0.651
= 1.844
Mass=1.844kg
Therefore, the amount of water vapor present is approximately 1.844 kg.
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What does a blueprint slide do? Check all that apply. Provides a review of your key points near the end of your presentation Provides transitions as you move from point to point Provides an overview of your points Provides a clear explanation of one main point Provides a template for your presentation outline
Answers
Answer:
- Provides an overview of your points
Provides a review of your key points near the end of your presentation
Provides transitions as you move from point to point
Explanation:
What does a blueprint slide do? Check all that apply. Provides a review of your key points near the end of your presentation Provides transitions as you move from point to point Provides an overview of your points Provides a clear explanation of one main point Provides a template for your presentation outline
- Provides an overview of your points
Provides a review of your key points near the end of your presentation
Provides transitions as you move from point to point
. A blueprint slide would not be useful for a clear explanation of one point or as a template for your outline. You would have to use a different slide layouts.
Blueprints slide establishes how you are going to work through your presentation. it is on the introductory part of your presentation.
Contains a description of your statements, a recap of your important points after your presentations, and transitioning as you get further from source to destination.
A blueprint presentation does indeed have a uniform appearance and might even be utilized throughout a variety of methods throughout the presentation.An aesthetically compelling blueprint slideshow should, for illustration, provide an introduction of your arguments, certain transitioning to allow you to proceed between one aspect to the next one, or maybe even a summary of your essential aspects towards the end of the session.
Thus the response above is correct.
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Write a linear equation expressing the number of t-shirts sold each month as a function of price per t-shirt. Please be explicit about what your chosen variables represent. Find the slope and intercepts of this equation (including their units). What real life meaning do these values have?
Answers
Answer:
slope of the equation = -0.006778 and the intercept = 27.11
Explanation:
The following details were also given ; They predict the monthly T shirts to be 1750 shirts, if you price them at $15.25 per shirt or 791 shirts if you price them at $21.75 per shirt.
The detailed steps and calculation is as shown in the attached file.
Consider the generic state space model *(t)= Ax(t) + Bu(t) y(t) = Cx(t)+Du(t). Use the definition of Al to show that x(t)=1*[4=) Bu(t)dt is the state response under input u(t).
Answers
Answer:
Explanation:
[tex]\dot x (t) - ax(t)=bu(t)\\\\e^{-at}\dot x = e^{-at}ax = \frac{d}{dt} (e^{-at})=e^{-at}bu\\\\\int\limits^t_0 \frac{d}{d\tau}(e^{-a\tau}x(\tau))d\tau=e^{-at}x(t)-x(0)=\int\limits^t_0 e^{-a\tau}bu(\tau))d\tau\\\\x(t)=e^{at}x(0)+ \int\limits^t_0 e^{-a(t-\tau)}bu(\tau))d\tau[/tex]
Similarly,
[tex]e^{-At}\dot x(t) -e^{-At}Ax(t) = \frac{d}{dt} (e^{-At}x(t))=e^{-At}Bu(t)\\\\\int\limits^t_0 \frac{d}{d\tau}(e^{-A\tau}x(\tau))d\tau=e^{-At}x(t)-e^{-A.0}x(0)=\int\limits^t_0 e^{-A\tau}Bu(\tau))d\tau\\\\since\:\:\:e^{-A.0}=I \:\:\: and\:\:\:[e^{-At}]^{-1}=e^{At}\\\\x(t)=e^{At}x(0)+ e^{At}\int\limits^t_0 e^{-A\tau}Bu(\tau))d\tau\\\\x(t)=e^{At}x(0)+ \int\limits^t_0 e^{A(t-\tau)}Bu(\tau))d\tau[/tex]
For initial condition x(0) = 0
[tex]x(t)= \int\limits^t_0 e^{A(t-\tau)}Bu(\tau))d\tau[/tex]
Define a function pyramid_volume with parameters base_length, base_width, and pyramid_height, that returns the volume of a pyramid with a rectangular base. Sample output with inputs: 4.5 2.1 3.0 Volume for 4.5, 2.1, 3.0 is: 9.45 Relevant geometry equations: Volume
Answers
Hi, you haven't provided the programing language in which you need the code, I'll just explain how to do it using Python, and you can apply a similar method for any programming language.
Answer:
1. def pyramid_volume(base_length, base_width, pyramid_height):
2. volume = base_length*base_width*pyramid_height/3
3. return(volume)
Explanation step by step:
In the first line of code, we define the function pyramid_volume and it's input parametersIn the second line, we perform operations with the input values to get the volume of the pyramid with a rectangular base, the formula is V = l*w*h/3In the last line of code, we return the volumeIn the image below you can see the result of calling the function with input 4.5, 2.1, 3.0.
The function 'pyramid_volume' can be used to compute the volume of a pyramid with a rectangular base. Its calculation uses the equation: V = (base_area * height) / 3, where base_area = base_length * base_width. Given the inputs 4.5, 2.1, and 3.0 for base_length, base_width, and pyramid_height respectively, the volume would be 9.45
Explanation:The function pyramid_volume is best defined in the context of Mathematics, particularly, geometric formulas. To compute the volume of a pyramid with a rectangular base, you can utilize the formula: V = (base_area * height) / 3. Here, base_area is equal to base_length times base_width. Hence, the function pyramid_volume could be defined as follows:
Volume = lambda base_length, base_width, pyramid_height: (base_length * base_width * pyramid_height) / 3.
Thus, if you input 4.5, 2.1, and 3.0 as your base_length, base_width, pyramid_height respectively into the function, it will return the volume of the pyramid, which in this case is 9.45.
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A section of highway has a free-flow speed of 55 mph and a capacity of 3300 veh/hr. In a given hour, 2100 vehicles were counted at a specified point along this highway section. If the linear speed density relationship applies, what would you estimate the space-mean speed of the vehicles to be?
Answers
Answer:
Space mean speed = 44 mi/h
Explanation:
Using Greenshield's linear model
q = Uf ( D - [tex]D^{2}[/tex]/Dj )
qcap = capacity flow that gives Dcap
Dcap = Dj/2
qcap = Uf. Dj/4
Where
U = space mean speed
Uf = free flow speed
D = density
Dj = jam density
now,
Dj = 4 × 3300/55
= 240v/h
q = Dj ( U - [tex]U^{2}[/tex]/Uf)
2100 = 240 ( U - [tex]U^{2}[/tex]/55)
Solve for U
U = 44m/h
An open tank contains brine to a depth of 2 m and a 3-m-layer of oil on top of the brine. Density of brine is 1,030 kg/m3 and the density of oil is 880 kg/m3. What is the gage pressure (kPa) at the bottom of the tank?
Answers
Answer:
Gage pressure at the bottom of the tank = 46.1kP
Explanation:
Note that it is required to expressed the gage pressure ,pressure at the free surface=0 gage
Pressure due to the oil layer= (3m)*((800kg/m^3)(9.81m/s^2))/1000=25.9kpa
Pressure due to the brine layer=(2m)*((1030kg/m^3)(9.81m/s^2))/1000=20.2ka
Therefore, the pressure at the bottom=25.9+20.2=46.1kP
A signal is band-limited between 2 kHz and 2.1 kHz. If the signal is sampled at 1750 Hz, the baseband signal will lie between?a. 00 and 650 Hzb. 750 and 2000 Hzc. 100 and 110 Hzd. 250 and 350 Hz
Answers
Answer:
Explanation: 100 and 110 Hz
Here fL=2kHz, fH=2.1kHz, B=0.1kHz, fL=2kHz,
n≤fH/(fH-fL)
n≤(2.1*1000)/((2.1-2)*1000)
n≤20
2fH/n ≤ fs
(2*2.1*1000)/20 ≤ fs
210≤ fs
A particle, originally at rest and located at point (3 ft, 2 ft, 5 ft), is subjected to an acceleration a = {6ti + 12t^2k} ft/s^2. Determine the particle’s position (x, y, z) when t = 2 s.
Answers
The particle's position at t = 2 s is (11 ft, 2 ft, 21 ft).
To determine the particle's position at t = 2 s, we need to integrate the acceleration function twice. First, we'll find the velocity function:
[tex]\[ \mathbf{v}(t) =\int \mathbf{a}(t) \, dt \][/tex]
[tex]\[ \int (6t\mathbf{i} + 12t^2 \mathbf{k}) \, dt \\= 3t^2 \mathbf{i} + 4t^3 \mathbf{k} + \mathbf{C} \][/tex]
where C₁ is the constant of integration.
Next, we'll find the position function:
[tex]\[ \mathbf{v}(t) = \int (3t^2 \mathbf{i} + 4t^3 \mathbf{k} + \mathbf{C}_1) \, dt \\= t^3 \mathbf{i} + t^4 \mathbf{k} + \mathbf{C}_1 t + \mathbf{C}_2 \][/tex]
where C₂ is the constant of integration.
Given the initial conditions, we know that at t = 0, the particle is at rest (v = 0) and located at point (3 ft, 2 ft, 5 ft). We can use these conditions to find the values of C₁ and C₂:
[tex]c_{1} = (0 i + 0 j + 0 k) - (3(0^{2} i + 4(0^{4} k) = 0[/tex]
[tex]c_{2}[/tex][tex]= (3 i + 2 j + 5 k)[/tex] - ([tex]i + 0^{4}k[/tex] )
[tex]= (3 i + 2 j + 5 k)[/tex]
Now we can find the position at t = 2 s:
= [tex]2^{3}[/tex][tex]i[/tex] + [tex]2^{4}[/tex][tex]k + (0)(2) + (3 i + 2 j + 5 k)[/tex]
[tex]= (8 i + 16 k) + (3 i + 2 j + 5 k)[/tex]
[tex]= (11 i + 2 j + 21 k)[/tex]
So the particle's position at t = 2 s is (11 ft, 2 ft, 21 ft).
Compute the estimated actual endurance limit for SAE 4130 WQT 1300 steel bar with a rectangular cross section of 20.0 mm by 60 mm. It is to be machined and subjected to repeated and reversed bending stress. A reliability of 99% is desired
Answers
Answer:
estimated actual endurance strength = 183.22 MPa
Explanation:
given data
actual endurance limit for SAE 4130 WQT 1300
cross section = 20.0 mm by 60 mm
reliability = 99%
solution
we use here table for get some value for AISI 4130 WQT 1300 steel
Sut = 676 MPa
Sn = 260 MPa
and here
stress factor Cst = 1
and wrought steel Cm = 1
and reliability factor Cr is = 0.81
so here equivalent diameter will be
equivalent diameter = 0.808 [tex]\sqrt{bh}[/tex] ...........1
equivalent diameter = 0. 808 [tex]\sqrt{20*60}[/tex]
equivalent diameter = 28 mm
so here size factor will be = 0.87 by the table
so now we can get estimated actual endurance strength will be
actual endurance strength = Sn × Cm × Cst × Cr × Cs ...............2
put here value
actual endurance strength = 260 × 1 × 1 × 0.81 × 0.87
actual endurance strength = 183.22 MPa
Do you think the mining process is faster when you know in advance that the land must be restored? Explain.
Answers
Answer: No, the mining process isn't faster when you know in advance that the land must be restored.
Explanation:
The mining process would be slower when mining companies know in advance that the land must be restored because they have to be more careful about their impact on the environment & avoid taking unnecessary damage to ruin the land which they know they must restore.
So, it's evident how this would slow down the mining process. If there were no obligations to restore land, the mining companies would just come at the mining space and run their mining process fast without big concerns for the consequences.
But the caution definitely slows them down.
People often have different points of view. If I think mining process is faster when you know in advance that the land must be restored, My answer is No.
This is because even without miners been aware that the land had to be restored before mining, they still carelessly remove minerals without taking into cognizant the damage it will do to the land.
There are different processes of mining. They include;
UndergroundSurfacePlacer In-situThe type of mining method used is usually based on the kind of resource that is needed, the deposit's location etc.
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All brake lights are dimmer than normal. Technician A says that bad bulbs could be the cause. Technician B says that high resistance in the brake switch could be the cause. Which technician is correct?a. Technician A onlyb. Technician B onlyc. Both Technician A and Bd. Neither Technician A nor B
Answers
Answer:
All Brake lights are dimmer than normal because high resistance in the brake switch could be the cause according to Technician B.
Explanation:
According to Technician A
When the bulb is faulty then no current will flow through bulb and it will be open circuit.So no light will produce in bulb .
According to Technician B
When a high resistance inserted in series circuit the voltage across each resistance is reduced and this cause the light glow dimly.
Formula of resistance in series circuit
Rt=r1+r2+r3......
Prompt the user to enter five numbers, being five people's weights. Store the numbers in an array of doubles. Output the array's numbers on one line, each number followed by one space. (2 pts) (2) Also output the total weight, by summing the array's elements. (1 pt) (3) Also output the average of the array's elements. (1 pt) (4) Also output the max array element. (2 pts)
Answers
Answer:
import java.util.Scanner;
public class PeopleWeights {
public static void main(String[] args) {
Scanner reader = new Scanner(System.in);
double weightOne = reader.nextDouble();
System.out.println("Enter 1st weight:");
double weightTwo = reader.nextDouble();
System.out.println("Enter 2nd weight :");
double weightThree = reader.nextDouble();
System.out.println("Enter 3rd weight :");
double weightFour = reader.nextDouble();
System.out.println("Enter 4th weight :");
double weightFive = reader.nextDouble();
System.out.println("Enter 5th weight :");
double sum = weightOne + weightTwo + weightThree + weightFour + weightFive;
double[] MyArr = new double[5];
MyArr[0] = weightOne;
MyArr[1] = weightTwo;
MyArr[2] = weightThree;
MyArr[3] = weightFour;
MyArr[4] = weightFive;
System.out.printf("You entered: " + "%.1f %.1f %.1f %.1f %.1f ", weightOne, weightTwo, weightThree, weightFour, weightFive);
double average = sum / 5;
System.out.println();
System.out.println();
System.out.println("Total weight: " + sum);
System.out.println("Average weight: " + average);
double max = MyArr[0];
for (int counter = 1; counter < MyArr.length; counter++){
if (MyArr[counter] > max){
max = MyArr[counter];
}
}
System.out.println("Max weight: " + max);
}
import java.util.Scanner;
public class PeopleWeights {
public static void main(String[] args) {
Scanner reader = new Scanner(System.in);
double weightOne = reader.nextDouble();
System.out.println("Enter 1st weight:");
double weightTwo = reader.nextDouble();
System.out.println("Enter 2nd weight :");
double weightThree = reader.nextDouble();
System.out.println("Enter 3rd weight :");
double weightFour = reader.nextDouble();
System.out.println("Enter 4th weight :");
double weightFive = reader.nextDouble();
System.out.println("Enter 5th weight :");
double sum = weightOne + weightTwo + weightThree + weightFour + weightFive;
double[] MyArr = new double[5];
MyArr[0] = weightOne;
MyArr[1] = weightTwo;
MyArr[2] = weightThree;
MyArr[3] = weightFour;
MyArr[4] = weightFive;
System.out.printf("You entered: " + "%.1f %.1f %.1f %.1f %.1f ", weightOne, weightTwo, weightThree, weightFour, weightFive);
double average = sum / 5;
System.out.println();
System.out.println();
System.out.println("Total weight: " + sum);
System.out.println("Average weight: " + average);
double max = MyArr[0];
for (int counter = 1; counter < MyArr.length; counter++){
if (MyArr[counter] > max){
max = MyArr[counter];
}
}
System.out.println("Max weight: " + max);
}
Answer:
The source code file to this question has been attached to this response. Please download it and go through it. The file contains comments explaining significant sections of the code. Please go through the comments in the code.
Calculate the link parameter and channel utilization efficiency (in error-free channels) for a system with the following parameters, if the simplex stop and wait protocol is used. a) Bitrate: R=12 Mbps, Modulation: BPSK, distance between the transmitter and receiver: d-6 miles, propagation velocity:v3 x 108 m/s and the length of each frame: L-500 bits. b) Symbolrate: Rs.10 Msps, Modulation: QPSK, distance between the transmitter and receiver: d=15 km, propagation velocity: v 3 x 108 m/s and the length of each frame: L- 256 bits.
Answers
Answer: a) 0.77 and 0.39 b) 3.9 and 0.20
Explanation:
We have to find two things here i.e link parameter and channel utilization efficiency.
a)
We are given
Bitrate= 12 Mbps,
Distance= 6 miles
Propagation Velocity= 3 x 10⁸ m/s
Length of frame= 500 bits
We know that The link parameter is related to propagation time and frame time
Where Propagation time= Bitrate x Distance= 12 Mbps x 6 miles
and Frame time= Propagation velocity x length of frame= 3 x 10⁸ x 500
So,
Link parameter= [tex]\frac{12*10^6*6*1609.34}{3*10^8*500}[/tex]
Link parameter= 0.77
Channel utilization efficiency= [tex]\frac{1}{1+2* link parameter}[/tex]
Channel utilization efficiency= 0.39
b)
We are given
Bitrate= 10 Mbps,
Distance= 15 km
Propagation Velocity= 3 x 10⁸ m/s
Length of frame= 256 bits
We know that The link parameter is related to propagation time and frame time, Here QPSK is used so bitrate is multiplied by 2,
Where Propagation time= Bitrate x Distance= 2 x 10 Mbps x 15 km
and Frame time= Propagation velocity x length of frame= 3 x 10⁸ x 256
So,
Link parameter= [tex]\frac{2*10*10^6*15*1000}{3*10^8*256}[/tex]
Link parameter= 3.9
Channel utilization efficiency= [tex]\frac{1}{1+2* link parameter}[/tex]
Channel utilization efficiency= 0.20
Calculate the molar heat capacity of a monatomic non-metallic solid at 500K which is characterized by an Einstein temperature of 300K. Express your result as a multiple of 3R.
Answers
Answer:
Explanation:
Given
Temperature of solid [tex]T=500\ K[/tex]
Einstein Temperature [tex]T_E=300\ K[/tex]
Heat Capacity in the Einstein model is given by
[tex]C_v=3R\left [ \frac{T_E}{T}\right ]^2\frac{e^{\frac{T_E}{T}}}{\left ( e^{\frac{T_E}{T}}-1\right )^2}[/tex]
[tex]e^{\frac{3}{5}}=1.822[/tex]
Substitute the values
[tex]C_v=3R\times (\frac{300}{500})^2\times (\frac{1.822}{(1.822-1)^2})[/tex]
[tex]C_v=3R\times \frac{9}{25}\times \frac{1.822}{(0.822)^2}[/tex]
[tex]C_v=0.97\times (3R)[/tex]
The annual average insolation (energy of sunlight per unit area) striking a fixed solar panel in Buffalo, New York, is 200 W*m^−2, while in Phoenix, Arizona, it is 270 W*m^−2. In each location, the solar panel converts 15% of the incident energy into electricity. Average annual electricity use in Buffalo is 6000 kW*h at an average cost of $0.15 kW*h, while in Phoenix it is 11,000 kW*h at a cost of $0.09 kW*h.
1. In each city, what area of solar panel is needed to meet the average electrical needs of a residence?
Answers
Answer:
The area of solar panel needed in Buffalo is 22.83 m²
The area of solar panel needed in Phoenix is 31 m²
Explanation:
FOR BUFFALO:
First we, calculate the the annual power requirement by dividing the energy by the time of 1 year.
Therefore,
Power Requirement = P = 6000 KWhr/(1 yr)(365 days/yr)(24 hr/day)
P = 684.93 W
Now, to calculate the area we use the formula:
Area = A = P/(Annual Insolation)(Conversion Factor)
A = 684.93 W/(200 W/m²)(0.15)
A = 22.83 m²
FOR PHOENIX:
First we, calculate the the annual power requirement by dividing the energy by the time of 1 year.
Therefore,
Power Requirement = P = 11000 KWhr/(1 yr)(365 days/yr)(24 hr/day)
P = 1255.7 W
Now, to calculate the area we use the formula:
Area = A = P/(Annual Insolation)(Conversion Factor)
A = 1255.7 W/(270 W/m²)(0.15)
A = 31 m²