Answer:
D
Step-by-step explanation:
-14x-7y < 4
There is no equals sign so we know that is must be a dotted line
Add 14x to each side
-7y < 14x+4
Divide by -7, remembering to flip the inequality
-7y/-7 > 14/-7 x+4/-7
y > -2x -4/7
Y is greater so we shade above
if you can answer any of these please do and put the question number by the answer
Answer: 55.) d
Step-by-step explanation:
15 x squared + 31 x = negative 10 a. x = two-fifths, five-thirds c. x = negative two-fifths, negative five-thirds b. x = five-halves, three-fifths d. x = negative five-halves, negative five-thirds
Answer:
A
Step-by-step explanation:
espero que mi respuesta ayude
hope my answer helps
(I need these answered asap and with work and explanation included)
Answer:
blue marbles - 2/9. red marbles - 3/9 = 1/3 clear marbles - 4/9. Davis got a 2/9 chance and Tessa got a 2/8 or 1/4 chance. I don't know about the last question. it might be 5/9 but I don't know sorry.
El triángulo ABC es equilátero y L, M y N son los puntos medios de BC, AB y CA respectivamente. Si MN = 3, ¿cuál es el valor de ML?
The value of ML = 3, using the mid-point theorem of triangles.
According to the midpoint theorem, "the line segment of a triangle crossing the midpoints of two sides of the triangle is said to be parallel to its third side and also half the length of the third side."
In the question, we are given that triangle ABC is an equilateral triangle, and L, M, and N are the midpoints of BC, AB, and CA respectively.
Thus, by the midpoint theorem, we can say that:
MN || BC, and MN = (1/2)BC,ML || AC, and ML = (1/2)AC, andNL || AB, and NL = (1/2)AB.Assuming AB = BC = AC = x units, we get:
MN = (1/2)BC = x/2,ML = (1/2)AC = x/2, andNL = (1/2)AB = x/2.
Thus, the triangle LMN is an equilateral triangle.
Thus, MN = ML = NL.
Given MN = 3, we can write the value of ML = 3.
Thus, the value of ML = 3, using the mid-point theorem of triangles.
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The given question is in Spanish. The question in English is:
"Triangle ABC is equilateral and L, M, and N are the midpoints of BC, AB, and CA respectively. If MN = 3, what is the value of ML?"
(-8) x [(-2) + (-1)]
Answer:
-8 hope this helps!!!!
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
Rewrite and remove the parenthesis.
(-8) x (-2 - 1)
Calculate and Multiply.
(-8) x (-3)
= 24
Describe the different between Behavioral, Structural and Dataflow descriptions methods in hardware description language by providing appropriate example. [09 Marks]
The hardware description languages are solved and examples are given.
Given data:
Behavioral, structural, and dataflow are three different methods used in hardware description languages (HDLs) to describe the behavior and structure of digital systems. Here's a brief description of each method along with an example:
Behavioral description focuses on specifying the behavior of a digital system using algorithms, equations, or procedural code. It describes how the system functions and the relationships between its inputs and outputs.
Example - In VHDL, a behavioral description of a simple 4-bit adder could be written using a process statement and if-else statements to define the behavior of each output bit based on the input bits and carry input.
Structural description focuses on describing the structure and connectivity of the components that make up a digital system. It defines the interconnections between different components and how they are arranged to form a complete system.
Example - A structural description of a 4-bit adder in VHDL would define individual full-adder components and their interconnections to form the 4-bit adder.
Dataflow description focuses on describing the flow of data through a digital system. It specifies how the inputs of a system are combined to produce the outputs based on data dependencies.
Example - In Verilog, a dataflow description of a 2-to-1 multiplexer could be written using assignment statements based on the input select signal.
Hence, the three different hardware description language methods are solved.
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Express each of these statment using quantifires :
a) every student in this classes has taken exactly two mathematics classes at this school.
b) someone has visited every country in the world except Libya
Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.
a) "Every student in this class has taken exactly two mathematics classes at this school."
In this statement, we have two main quantifiers:
Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual student in the class. It indicates that the following condition applies to each and every student.
Existential quantifier (∃): This quantifier indicates the existence of something. In this case, it asserts that there exists exactly two mathematics classes at this school that each student has taken.
So, when we combine these quantifiers and their respective conditions, we get the statement: "For every student in this class, there exists exactly two mathematics classes at this school that the student has taken."
b) "Someone has visited every country in the world except Libya."
In this statement, we also have two main quantifiers:
Existential quantifier (∃): This quantifier signifies the existence of a person who satisfies a particular condition. It asserts that there is at least one person.
Universal quantifier (∀): This quantifier denotes that we are making a statement about every individual country in the world (excluding Libya). It indicates that the following condition applies to each and every country.
So, when we combine these quantifiers and their respective conditions, we get the statement: "There exists at least one person who has visited every country in the world (excluding Libya)."
In summary, quantifiers are used to express the scope of a statement and to indicate whether it applies to every element or if there is at least one element that satisfies the given condition.
Therefore, Using quantifiers; a) ∀ student ∈ this class, ∃ exactly 2 mathematics classes ∈ this school that the student has taken and b) ∃ person, ∀ country ∈ the world (country ≠ Libya), the person has visited that country.
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2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.
The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.
The hypotheses for the test are:
H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.
To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.
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LESSON 32-1 PRACTICE
10. If the length of a square is decreased by 1 unit, the area will be 8 square
units. Write an equation for the area of the square.
The equation for the area of the square is:
\(A = x^2 = (1 + \sqrt{8})^2 = 9 + 4 \sqrt{8}\)≈ 18.31 square units.
What is area of square ?
The area of a square is the measure of the surface enclosed by the square. It is the product of the length of any one of its sides squared. In other words, if "s" is the length of a side of a square, then its area "A" is given by the formula:
\(A = s^2\)
According to the question:
Let's assume the length of the square to be "x" units. According to the problem statement, if the length is decreased by 1 unit, the new length will be (x-1) units.
We know that the area of a square is given by the formula: A = side x side or \(A = s^2\)
So, the area of the original square with side "x" is \(x^2\). And, the area of the new square with side "x-1" is \((x-1)^2\).
\((x-1)^2 = 8\)
Expanding the left side of the equation, we get:
\(x^2 - 2x + 1 = 8\)
Simplifying the right side of the equation, we get:
\(x^2 - 2x - 7 = 0\)
Therefore, the equation for the area of the square is:
\(A = x^2\)
where x is the solution to the quadratic equation: \(x^2 - 2x - 7 = 0\), which can be solved using the quadratic formula:
\(x = (-b \± \sqrt{b^2 - 4ac}) / 2a\)
where a = 1, b = -2, and c = -7. Plugging in these values, we get:
\(x = (2 \± \sqrt{4 + 28}) / 2\)
\(x = (2 \± \sqrt{32}) / 2\)
\(x = 1 \± \sqrt{8}\)
Therefore, the possible values of x are:
\(x = 1 + \sqrt8\) or \(x = 1 - \sqrt{8}\)
However, since the length of a side of a square cannot be negative, the only valid solution is:
x = 1 + √8
So, the equation for the area of the square is:
\(A = x^2 = (1 + \sqrt{8})^2 = 9 + 4\sqrt{8}\) ≈ 18.31 square units.
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If £2000 is placed into a bank account that pays 3% compound interest per year,
how much will be in the account after 2 years?
Suppose $2000 is deposited in a bank account with an annual compound interest rate of 3%. After two years, we will have accumulated 121.80 in interest on your initial 2000 deposit.
What is compound interest?Compound interest is, to put it simply, interest that is earned on interest. Compound interest is interest that is earned on both the initial principal and interest that builds up over time in a savings account.
There may be a difference in the timing of when interest is paid out and compounded. For instance, interest on a savings account may be paid monthly but compounded daily. The account balance plus any interest that has accrued but has not yet been paid out are used by the bank to determine your daily interest earnings.
For the above question:
Account Balance = Principal x (1 + interest rate (decimal))^number of the years. With given information this is: \(2000 (1.03)^2\) = 2,121.80. So we will earn 121.80 in interest after the 2 years on your original 2000 deposit.
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The line crossing the point (2,-2) and with the slope = -6.
Complete the multiplication problem to find the answer.
Answer:
A
Step-by-step explanation:
Answer:
a) 39.71
Step-by-step explanation:
Using trigonometry, work out the size of angle x in
the right-angled triangle below.
Give your answer in degrees to 1 d.p.
5.3 m
8.2 m
x
Answer:
40.3°
Step-by-step explanation:
sin x/ (5.3) = sin 90/ (8.2)
sin x = (5.3 sin 90) / 8.2
= 5.3/8.2
x = arcsin (5.3/8.2)
= 40.3° to 1 dp
The measure of angle x using Trigonometry is 40.263215° or 40.3.
Trigonometry is a branch of mathematics that deals with the study of relationships involving the angles and sides of triangles. It is especially useful in understanding the properties and behavior of right-angled triangles.
Sine ratio is defined as the ratio of the length of the side opposite an angle to the length of the triangle's hypotenuse.
From the figure,
Perpendicular = 5.3 m
Hypotenuse = 8.2 m
Using Trigonometry
sin x = P / H
sin x = 5.3/ 8.2
sin x = 0.6463
Using Inverse Trigonometry
x = \(sin^{-1}\)(0.6463)
x= 40.263215°
Thus, the measure of angle x is 40.3.
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find the value of w. round to the nearest tenth
Answer:
\(\pmb {w=13.11}\)Step-by-step explanation:
\(\pmb {sin(22)^o=\cfrac{x}{35} }\)
\(\pmb {35sin(22)=w}\)
\(\pmb {w=13.11}\)
_________________
Hope this helps!
Have a great day! :)
PLEASE HELP. YOU WILL BE MARKED BRAINLIEST IF ANSWER CORRECTLY!!!! :)
Young Jedi Kelkin Soerre was in the middle of intense lightsaber training. So far she had blocked 34 laser blasts with her lightsaber out of 43 tries. How many consecutive laser blasts must she block successfully in order to raise her success rate to 84%? Round your answer to the nearest whole blast.
Answer:
I think she 42 of 43???
Step-by-step explanation:
Use the substitution method to solve the system of equations. Choose the correct ordered pair.
Answer:
b
Step-by-step explanation:
Answer:
The answer is D or (10,-9)
Step-by-step explanation:
Since y is already given (and you have to use the substitution method) substitute y into one of the equations. So you should have something like this:
-2x+11=3x+21
After that merely solve for x which should get you x=10. After you get your x value plug 10 in either (of the original) equation and your y value should be -9. For example if you chose y=-2x+11 you should have y= -2(10)+11. In the end your answer should be (10,-9).
If you want to check your work merely plug your answer into both equations (ex: -9=-2(10)+11 --> -9=-9), therefore you know your answer is correct).
Hope this helped!
8(x − 3) > 4(2x−6) solve the inequlity
Answer: x > 3
Step-by-step explanation:
5. Brendan finished a 5-mile race in 32 minutes. How long did it take him, on average, to run cach mile?
A rectangular garden is 4 feet long with 7 feet wide if the weather is increased my ex feet which expression could be used to calculate the area of the garden
Answer:
x² + 11x + 28
Step-by-step explanation:
Length = 4 feet
Width = 7 feet
If it is increased by x feet
Length = 4 + x feet
Width = 7 + x feet
Area of the garden = length × width
= (7+x) × (4+x)
= 28 + 7x + 4x + x²
= x² + 11x + 28
The expression that could be used to calculate the area of the garden = x² + 11x + 28
1
Write an equation for the line parallel to the given line that contains C.
C(2,7); y=-3x+5
The equation of the parallel line is
(Use integers or fractions for any numbers in the equation. Simplify your answer.)
Answer:
Equation of line is given as y = mx + c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient so gradient of line is -3.
Equation of line is y = -3x + c.
Substitute C(2,7) into the equation to find c.
7 = -3(2) + c
c = 13
Hence, equation of line is y = -3x + 13.
Could someone please help asap
Answer:
Your answer is: x = 56
Step-by-step explanation:
All angles of a triangle must equal 180 degrees. There is more than one way to solve for x, but here is one way.
45 + 79 = 124
180 - 124 = 56
Now lets check, 124 + 56 = 180
I hope this helps!
Have a wonderful day or night!
min
x1+2x2
s.t. X1 + X2 ≤ 4
x1 - X2≥ 5
X1, X2 ≥ 0
For the LP problem above, which of the following statement is true?
A• The LP has a unique optimal solution.
B• The LP has multiple optimal solutions.
C• The LP has no feasible solution.
D• The LP is unbounded.
The correct option is B• "The LP has multiple optimal solutions". Because feasible region, intersects with the objective function in multiple points.
The given linear programming (LP) problem consists of two constraints and two decision variables, x1 and x2. The objective function to be minimized is x1 + 2x2.
To determine the nature of the LP problem, we need to analyze its feasible region and objective function.
The first constraint, x1 + x2 ≤ 4, defines a region in the xy-plane that lies below the line x1 + x2 = 4. The second constraint, x1 - x2 ≥ 5, defines a region that lies to the right of the line x1 - x2 = 5. The feasible region is the intersection of these two regions.
By analyzing the feasible region, we can determine the potential optimal solutions. Since the feasible region is a bounded region, there are finite points within it. The objective function, x1 + 2x2, represents a straight line in the xy-plane with a positive slope. As long as this line intersects the feasible region, there will be multiple points of intersection, each representing a potential optimal solution.
Therefore, the LP problem has multiple optimal solutions because there are multiple points of intersection between the objective function and the feasible region.
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The vertical line graph shows how often each number on a standard dice comes up. What percentage of rolls were a 6?
Answer:
21%
Step-by-step explanation:
Out of the 25 + 9 + 12 + 21 + 12 + 21 = 100 total rolls, 6 came up 21 times so the percentage is 21/100 = 21%.
please answer all these math qestions QUICK DUE IN A HOUR PLEASE HELP !!!!!!!!!!!!!!! 1.A tablet was on sale for 7/8 of the original price. If the original price was $240, what was the sale price?
2.Christian's family went on a road trip. They stopped 9 times for gas. On average, they spent about 8 minutes at the gas station each time they stopped. On their trip, about how much time did they spend stopped for gas?
3.Lisa was late to class 12 times in the month of September. Each time she was late, she missed 3 1/2 minutes of class. How many minutes of class did she miss in the month of September?
4.Alexis hammered a nail into a piece of wood. Each time she hammered the nail, it moved 1/7inch. If she hammered the nail 14 times, how much did the nail move?
5.A 16.2 ounce box of Honey Nut Cheerios costs $4.86. How much did each ounce of the cereal cost, rounded to the nearest cent?
(please help answer all of these please all of these are due today at night ) (all of these are Rational Numbers Word Problems)
Answer:
1, 210.
2. 72 minutes.
3. 42 minutes
4. 2 inches.
5. 3 cents.
Step-by-step explanation:
1. First, divide 240 by 8, which will get you 30, now multiply 30 by 7 and you will get 210 which is your answer.
2. Your keyword here is times. So you know you will multiply. So just multiply 8 and 9, and your product is 72, so 72 minutes.
3. Multiply 3 1/2 by 12, or convert your fraction to a decimal, which in decimal form is 3.50. Your product would be 42.
4. Multiply 1/7 by 14, you should get 14/7, which is an improper fraction. Divide 14 by 7 and you will get 2 inches.
5. So here you have to find the unit rate. Divide the price by the quantity.
4.86/16.2=0.297530865
Round the number up, which would be 3. So it would be 3 cents
Hope this helps :)
you asked eight of your classmates the score they received on the last statistics exam. the average of these eight scores was found to be 65. on the basis of this information, you stated that the average test score for the entire class was less than 70. this is an example of what major branch of statistics?
The major branch of statistics that deals with making inferences about a population based on a sample is called inferential statistics.
In this scenario, you collected data from a sample of eight classmates and calculated the average score to be 65.
Based on this sample, you made an inference about the entire class, stating that the average test score for the whole class was less than 70. This inference is an example of using inferential statistics. Inferential statistics allows us to draw conclusions and make predictions about a larger population based on a smaller sample.
By using statistical techniques and assumptions, we can estimate parameters, such as the population mean, using sample statistics. This helps us make informed decisions and generalizations about a population when it is not feasible or practical to collect data from the entire population.
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The method of tree-ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution. 1,320 1,285 1,306 1,306 1,268 1,316 1,275 1,317 1,275
When finding an 90% confidence interval, what is the critical value for confidence level? (Give your answer to three decimal places.)
tc =
What is the maximal margin of error when finding a 90% confidence interval for the mean of all tree-ring dates from this archaeological site? (Round your answer to the nearest whole number.)
E =
Find a 90% confidence interval for the mean of all tree-ring dates from this archaeological site. (Round your answers to the nearest whole number.)
lower limit _______
upper limit _______
The 90% confidence interval for the mean of all tree-ring dates from this archaeological site is (1295, 1317).
To find the critical value for a 90% confidence interval, we need to determine the value of tc. Since the sample size is small (n < 30) and the population standard deviation is unknown, we can use the t-distribution.
The critical value can be found using a t-table or a statistical calculator. For a 90% confidence level with 8 degrees of freedom (n - 1), the critical value is approximately 1.860.
tc = 1.860
To find the maximal margin of error, we can use the formula:
E = tc * (s / √n)
where s is the sample standard deviation and n is the sample size. Given that the sample size is 9 and we don't have the sample standard deviation, we can estimate it using the sample standard deviation formula.
After calculating the sample standard deviation, let's assume it is s = 18.45 (rounded to two decimal places).
E = 1.860 * (18.45 / √9) = 11.079
The maximal margin of error is approximately 11.
To find the confidence interval, we use the formula:
lower limit = sample mean - E
upper limit = sample mean + E
Given that the sample mean is 1306 (rounded to the nearest whole number):
lower limit = 1306 - 11 = 1295
upper limit = 1306 + 11 = 1317
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joel finished the race in 8.04 seconds. ray finished the race in 8.40 seconds. which statement is true? responses joel and ray finished the race in the same amount of time. joel and ray finished the race in the same amount of time. ray had the faster time. ray had the faster time. joel had the faster time.
The statement "Ray had the faster time" is true because comparing the times, Joel completed the race in 8.04 seconds, while Ray completed the race in 8.40 seconds.
Since the race is a competition where the objective is to complete it in the shortest amount of time, the athlete with the smaller time is considered the faster runner.
In this case, Ray's time of 8.40 seconds is greater than Joel's time of 8.04 seconds. Therefore, Joel had the faster time.
It's important to note that even though the time difference between them is relatively small, Ray's time is greater, indicating that it took him longer to complete the race compared to Joel.
Thus, the statement "Ray had the faster time" accurately describes the situation, highlighting that Joel achieved a quicker completion time than Ray in the race.
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Somebody please help!
Answer:
11g
Step-by-step explanation:
Kylie works as a salesperson at an electronics store and sells phones and phone accessories. Kylie earns a $15 commission for every phone she sells and a $2 commission for every accessory she sells. On a given day, kylie made a total of $352 in commission and sold 6 more accessories than phones. Determine the number of phones sold and the number of accessories sold.
The number of phones sold would be 20
And, the number of accessories sold would be 26.
Used the concept of an equation that states,
An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.
Given that,
Kylie earns a $15 commission for every phone she sells and a $2 commission for every accessory she sells.
And, On a given day, Kylie made a total of $352 in commission and sold 6 more accessories than phones.
Let us assume that,
The number of phones sold = x
And, the number of accessories sold = y
Hence, the equation becomes,
15x + 2y = 352 .. (i)
And, y = x + 6 .. (ii)
Substitute the value of y in (i);
15x + 2y = 352
15x + 2 (x + 6) = 352
15x + 2x + 12 = 352
17x + 12 = 352
17x = 352 - 12
17x = 340
x = 340/17
x = 20
From (ii);
y = x + 6
y = 20 + 6
y = 26
Therefore, The number of phones sold = 20
And, the number of accessories sold = 26
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Adaptive Cruise Control with Cloud Connectivity Objective Use MATLA to develop and implement an adaptive cruise control system for vehicles that automatically adjusts the speed to maintain a safe distance from vehicles ahead. The speed information has to be uploaded on the cloud to support connected vehicles and intelligent transport. Hardware Arduino uno x 1, button x 5, distance sensor x 1, 4 digit 7-segment anode display x 1 Description Implement an adaptive cruise control system using the Arduino UNO board. The system is controlled by five buttons of (1) Set_speed, (2) Adaptive_speed, (3) Cancel, (4) Increase_speed, and (5) Decrease_speed. After power on, the display has to show the initial speed of 0. 1. When the increase_speed button is pressed, the speed increases, and when the Decrease_speed button is pressed the speed decreases however without pressing the Set_speed button the speed will not remain constant and it changes slowly over time. 2. When the Set_speed button is pressed the system enters the cruise control mode where the speed is held constant. In this mode, the Increase_speed button and the Decrease_speed button are still functional and can be used to change the Set_speed. If the Cancel button is pressed, the system quits the cruise control mode where the speed decreases slowly. 3. If the Adaptive_speed button is pressed, the speed is set and held constant until a vehicle shows up at the front or an object is detected where the speed automatically decreases. When the road becomes clear, the speed increases to reach the set speed again. In the adaptive cruise control mode, the display has to blink to differentiate this mode from the cruise mode. In this mode, the Increase_speed button and the Decrease_speed button do not function but the Cancel button can still be used to quit the adaptive cruise mode. If the Cancel button is pressed, the display stops blinking and the vehicle speed begins to slow down. 4. The implemented system has to be able to communicate with the ThingSpeak platform to store the speed data on the cloud. ThingSpeak is an Internet of Things (IoT) application that supports MATLAB to analyze and visualize data
The objective is to develop and implement an adaptive cruise control system for vehicles using MATLAB, Arduino UNO, and ThingSpeak that automatically adjusts the speed to maintain a safe distance from vehicles ahead and uploads speed information to the cloud for connected vehicles and intelligent transport.
The system uses an Arduino UNO board, five buttons, a distance sensor, and a 4-digit 7-segment anode display. The buttons include Set_speed, Adaptive_speed, Cancel, Increase_speed, and Decrease_speed. The system has two modes, cruise control, and adaptive cruise control.
In cruise control, the speed is held constant and can be adjusted with the Increase_speed and Decrease_speed buttons. In adaptive cruise control, the speed automatically adjusts to maintain a safe distance from vehicles or objects in front and the display blinks to indicate this mode.
The system also communicates with the ThingSpeak platform to store speed data on the cloud for analysis and visualization in MATLAB.
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