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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8/23 in simplest form
State if the three numbers can be the measures of the sides of a triangle.
1) 6,6,5
2)3,10,7
3)7,2,5
4)2,8,5
The three numbers are 1) 6,6,5. Option A
What is the triangle inequality theorem?Generally, To determine if three numbers can be the sides of a triangle, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
For cases of 1) 6,6,5:
6 + 5= 11, which is greater than 6, so these three numbers can be the lengths of the sides of a triangle.
For the case of 2) 3,10,7:
3 + 7= 13, which is not greater than 10, so these three numbers cannot be the lengths of the sides of a triangle.
For the case of 3) 7,2,5:
5+ 2= 7, which is not greater than 7, so these three numbers cannot be the lengths of the sides of a triangle.
For the case of 4) 2,8,5:
2 + 5= 7, which is not greater than 8, so these three numbers cannot be the lengths of the sides of a triangle.
Therefore, the three numbers is 1) 6,6,5
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Luigi's Pizzeria has medium pizzas with a 12-inch diameter and large pizzas with a
diameter of 18 inches. Jenny wants to order either 2 medium pizzas or 1 large pizza.
Which option should she choose in order to get the biggest area of pizza?
O There isn't enough given information to answer the question.
O Jenny should order 1 large pizza
O Jenny should order 2 medium pizzas.
O It doesn't matter. The area is the same either way.
a dilation will always preserve both the orientation of a figure and the orientation of the vertices
Yes, a dilation will always preserve both the orientation of a figure and the orientation of the vertices.
What is dilation?Resizing an item uses a transformation called dilation. Dilation is used to enlarge or shorten the structures. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation.
Given:
When we dilate, we change the size.
Imagine it as a zooming in and out process.
As a result, the size will be different, but the form and orientation will remain the same.
So, a dilation will always preserve both the orientation of a figure and the orientation of the vertices.
Therefore, the statement is true.
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The mean sustained wind velocity, v, can be determined by the equation , where p is the air pressure, in millibars, at the center of the hurricane. What is the approximate air pressure at the center of a hurricane when the mean sustained wind velocity is 64 meters per second
Using the velocity of 64 meters per second, we know that the air pressure is 910 millibars.
What is air pressure?Everything you touch is pressed upon by the weighty air that surrounds you.
This pressure is referred to as air pressure or atmospheric pressure.
It is the force that the air above a surface applies to it while gravity pulls the surface toward Earth.
A barometer is frequently used to measure atmospheric pressure.
So, we know that:
The calculation for mean sustained wind speed.
64 M/s is the average sustained wind speed.
The equation for mean sustained wind speed:
v = 6.3√1013 - p
Hurricane's means sustained wind speed is 64 m/s,
With the help of the following equation, we can determine the air pressure.
v = 6.3√1013 - p
64/6.3 = √1013 - p
Making both sides square:
(10.1587)² = 1013 - p
p = 910 millibars
Therefore, using the velocity of 64 meters per second, we know that the air pressure is 910 millibars.
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f(n)=(n-1)^2+3n, which statement is true?
1) f(3)=-2
2) f(-2)=3
3) f(-2)=-15
4) f(-15)=-2
Answer:
2) [tex]f(-2)=3[/tex]
Step-by-step explanation:
[tex]f(3)=(3-1)^2+3(3)=13 \\ \\ f(-2)=(-2-1)^2+3(-2)=3 \\ \\ f(-15)=(-15-1)^2+3(-15)=211[/tex]
what is 782 + 7
ty i need to no this frfr
Answer: 789
Step-by-step explanation:
No offense but this was an easy question
Sorry hope this helps
Answer:
789
Step-by-step explanation:
Step 1: add 7
Step 2: answer is 789
Use the remainder theorem to determine whether or not x+3 is a divisor of px=2x3+4x2-2x+12.
The remainder theorem states that if a polynomial (px) is divided by a factor (x+3), the remainder is equal to the value of the polynomial when x is equal to the opposite of the factor's coefficient.
In this case, when x is equal to -3, the polynomial becomes p(-3) = 2(-3)^3 + 4(-3)^2 - 2(-3) + 12 = -36 + 36 - 6 + 12 = 6.
Since the remainder is 6, x+3 is not a divisor of px.
The remainder theorem can be used to determine that x+3 is not a divisor of px=2x3+4x2-2x+12, since the remainder when the polynomial is divided by the factor is 6.The remainder theorem states that if a polynomial (px) is divided by a factor (x+3), the remainder is equal to the value of the polynomial when x is equal to the opposite of the factor's coefficient.
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( x + 3 ) is the divisor of the given polynomial p(x) = 2x³ + 4x² -2x + 12 using remainder theorem
As given in the question,
Given polynomial is equal to :dd
p(x) = 2x³ + 4x² -2x + 12
Check whether ( x + 3 ) is s divisor of the given polynomial p(x) using remainder theorem we get,
Divisor is given by : x + 3
Apply remainder theorem we get,
p( -3 ) = 2( -3 )³ + 4 ( -3 )² - 2( -3 ) + 12
⇒ p ( -3 ) = 2(-27) + 4 (9) + 6 + 12
⇒ p(-3) = -54 + 36 + 18
⇒ p(-3) = 0
Therefore, by using the remainder theorem we conclude that ( x + 3 ) is the divisor of the given polynomial p(x).
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will give brainliest and 50 points if u answer this simple question correctly
The slope is -7/10, so the equation would be y = -7/10x.
Find the slope of the line.This question uses the slope of a line formula to calculate the slope.
The formula states that the slope is equal to the change in the y-coordinates divided by the change in the x-coordinates.
Count the number of rises and falls in the line. In this equation, there is a rise of 4, a fall of 3, a rise of 2, and a fall of 1.
Calculate the slope by subtracting the number of rises from the number of falls and dividing by the total number of rises and falls.
In this equation, the slope is (-3 - 4)/(4 + 3 + 2 + 1) = -7/10.
Write the equation in the correct form of y = mx.
In this equation, the slope is -7/10, so the equation would be y = -7/10x.
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how many degrees does the minute hand of a clock turn in 45 minutes
The clock minutes rotate 270 degrees in 45 minutes.
How to calculate the angular size of a clock's handsWhile rotating, the clock's hands are seen to move at a speed of six degrees per minute.
The number of degrees for a clock minute is solved by
60 minutes = 360 degrees
1 minute = ?
cross multiplying
60 * ? = 360
? = 360 / 60
? = 6
hence 1 minute is 6 degrees
The formula to use to get the calculation is multiplying the number of minutes by 6
Number of degrees in 45 minutes = 45 * 6
Number of degrees in 45 minutes = 270 degrees
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please answer with the given image
The number of weeks that it will take for Aaliyah yo have enough money is 13.4 weeks.
How to calculate the number of weeks?The equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.
It is important to note that an equation is the mathematical statement which can be made up of two expressions which are connected by an equal sign.
The number of weeks will be calculated thus:
25 + 8.25w = 135.75
where w = number of weeks.
Collect the like terms
8.25w = 135.75 - 25
8.25w = 110.75.
Divide
w = 110.75 / 8.25
w = 13.4 weeks
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Discuss the difference between r and p.
Choose the correct answers below.
r represents the
p represents the
sample correlation coefficient.
critical value for the correlation coefficient.
population correlation coefficient.
Click to select your answer(s)
1-35 of 35
Type here to search
o He
The differences that exists between r and p are:
r represents the sample correlation coefficientp represents the population correlation coefficientWhat is the sample correlation coefficient?When points in a scatter plot are plotted against a linear regression line based on those points, as in the example when solving for cumulative savings over time, the sample correlation coefficient (r) is a measurement of how closely the points are associated.
What is the population correlation coefficient?The correlation coefficient (ρ) is a metric for estimating how closely two variables' movements are related. The Pearson product-moment correlation is used to calculate the most popular correlation coefficient, which is used to assess the linear relationship between two variables.
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Solve the following equation for x 3x-6+1=-2x-5+5x show your work and check your answer (Pls answer quick this is 8th grade math btw)
Answer:
All values of x are possible.
Step-by-step explanation:
3x-6+1=-2x-5+5x
3x - 5 = 3x - 5 [Simplify by combining like terms on both sides]
Both sides of this equation are the same. There is no single value of x that can be identified, All values of x are possible. The only thing that can be said about this equation is "TRUE."
A company that makes crayons is trying to decide which colors to include in a promotional mini-box of crayons. The company can choose the mini-box colors from its collection of colors. How many mini-boxes are possible?
There are 2.97 * 10^9 ways that the colors can be chosen.
What is permutation?We talk about the term permutation when we have to make a selection and the order of the selection has been taken to be important. In that case the order bcd would be different from the order cbd.
Hence, we could be able to use the formula for the permutation of the colors that are in the box and we would have the result as the use of the formula;
P = n!/ (n - r)!
n in this case would be the number of the boxes that we have and we would thus have;
P = 65!/(65 - 5)!
P = 65 * 64 * 63 * 62 * 61 * 60!/60!
P = 2.97 * 10^9 ways
Thus, in the selection of the colors from the boxes, we can see that it is possible to do the selection using permutation in about 2.97 * 10^9 ways.
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Missing parts;
A company that makes crayons is trying to decide which 5 colors to include in a promotional mini-box of 5 crayons. The company can choose the 5 mini-box colors from its collection of 65 colors. How many mini-boxes are possible?
On Monday Alina rode 5 miles on a bike on Tuesday she rode 10 miles on Wednesday she would three times farther than she did Monday and Tuesday combined how many miles has Alina written so far this week
the answer is 60
Step-by-step explanation:
10+5=15 x 3 45+ 15 =60
How many moles of silver are equivalent to 2.408 × 1024 atoms? 4 2.5 0.25 0.4
There are 4 moles of silver equivalent to 2.408 x 1024 atoms.
This can be determined through the use of Avogadro's number, which is the number of atoms or molecules in one mole of a substance. Avogadro's number is equal to 6.022 x 10^23 atoms/molecules per mole. By dividing the number of atoms by Avogadro's number, we can determine the number of moles. In this case, 2.408 x 1024 atoms / 6.022 x 10^23 atoms/mole = 0.04 moles. Since there are 4 moles in 1 mole of silver, this means that there are 4 moles of silver equivalent to 2.408 x 1024 atoms. This can be expressed as 4 mol Ag = 2.408 x 1024 atoms.
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Change each equation into slope -intercept form. X+y=3
Answer:
y = -X + 3
Step-by-step explanation:
X + Y = 3
Y = -X + 3 (in the form of Y = mX + c, where m is the gradient of the graph and c is the y intercept of the graph)
Through observation,
gradient = -1
y-intercept = 3
8g=9.6
CAN SOMEONE PLEASE HELP ME
Answer:
Step-by-step explanation:
8g=9.6
Divide both sides by 8 to isolate the variable
g=1.2
Answer:
[tex] \sf \: g = 1.2[/tex]
Step-by-step explanation:
Now we have to,
→ find the required value of g.
The equation is,
→ 8g = 9.6
Then the value of g will be,
→ 8g = 9.6
→ g = 9.6 ÷ 8
→ [ g = 1.2 ]
Hence, the value of g is 1.2.
A company has two offices - one in Portlee and one in Queentown.
The ratio of the number of employees at Portlee to the number at Queentown is 3:4
20% of the employees at Portlee are part-time.
25% of the employees at Queentown are part-time.
Altogether the company has 32 part-time employees.
Work out the total number of employees the company has.
The company has the total number of employees as 140.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We are given that company has two offices - one in Portlee and one in Queentown.
The ratio of the number of employees at Portlee to the number at Queentown is given as;
3:4
Now we know that 20% of the employees at Portlee are part-time.
25% of the employees at Queentown are part-time.
Therefore, 3x of 20% are part- time
4x of 25%
Then we have 32 part-time employees.
0.6x + 1x = 32
1.6x = 32
x = 32/1.6
x = 20
Hence, the total number of employees the company has
3x + 4x = 7x
7(20) = 140
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Graph the solution to this inequality on the number line. −1/3x + 1/2 ≥ −3/4
The solution to the inequality is x ≤ 3.75 and is shown on the number line.
How to solve the inequality
An inequality shows the nonequal comparison of numbers and variables arranged in an expression.
Given the expression:
(-1/3)x + 1/2 ≥ -3/4
Multiply through by 12:
-4x + 6 ≥ -9
Subtract 6 from both sides:
-4x ≥ -15
Divide through by -4:
x ≤ 3.75
The solution to the inequality is x ≤ 3.75
See attachment for the number line
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Evaluate this exponential expression
7• (6+2)2 - 3. 2
At age 16, Angel's intelligence score was 110. What will her score probably be at age 32? a) 125 b) 115 c) 110
Option C : At age 32, Angel's intelligence score wil be 110 , While her score at age 16 be 110 .
To calculate IQ, take a person's mental age, divide it by chronological age, then multiply that number by 100 .
An IQ test assesses a variety of cognitive skills and yields a score that is meant to be used as a gauge of a person's potential and intellectual process. Among psychological testing, IQ tests are frequently used. The organisation Mensa International, which serves persons with IQs in the top 2%, defines IQ as "a form of standard score that reflects how far above, or how far below, his/her peer group an individual stands in mental capacity."
There are many different intelligence tests available, and they might have very distinct contents. Three Many medications are made expressly to be given to children, but some are used for adults. There are several uses for IQ tests, including Educational assessment and placement,Assessment and diagnosis of intellectual disability ,Cognitive research,Job candidate evaluation.
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i need helps this question
Using the fact that the sum of the interior angles must be 180°, we will get the measures:
C= 60T = 60A = 60How to find the measures of each interior angle?Here we have a triangle, and we know that the measures of the interior angles are:
C = 15x
T = 10x + 20
A = 5x + 40
We know that the sum of the interior angles of a triangle must be 180°, then we can write the linear equation:
15x + 10x + 20 + 5x + 40 = 180
(15 + 10 + 5)*x = 180 - 20 - 40
30x = 120
x = 120/30
x = 4
Then the measures of the interior angles are:
C = 15x = 15*4 = 60
T = 10x + 20 = 10*4 + 20 = 60
A = 5x + 40 = 5*4 + 40 = 60
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a survey investigating whether the proportion of today's high school seniors who own their own cars is higher than it was a decade ago finds a p-value of 0.017. is it reasonable to conclude that more high schoolers have cars? explain
The p-value of 0.017 suggests that there is a statistically significant difference in the proportion of high school seniors who own their own cars, indicating that more high schoolers now have cars than before.
The p-value of 0.017 indicates that there is a statistically significant difference between the proportion of high school seniors who own their own cars today compared to a decade ago. This suggests that there is a real, measurable difference in the number of high school seniors who own cars, meaning that it is reasonable to conclude that more high schoolers have cars now than they did a decade ago. This conclusion is supported by the statistical significance of the data, which indicates that the difference between the proportions is not likely due to chance. It is also likely that changes in technology and access to transportation options have contributed to the increase in the proportion of high school seniors who own cars.
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Add (1.3t3 0.4t2 – 24t) (8 – 18t 0.6t2) for each term in the second polynomial, enter the letter showing where that term should be placed to add the polynomials vertically. 1.3t3 0.4t2 (–24t)
The resulting polynomial is 1.3t^3 - 0.2t^2 - 42t + 8.
To add the polynomials, you should line up the terms with the same degree.
For the first polynomial, the coefficient of the term with the highest degree is 1.3.
For the second polynomial, the coefficient of the term with the highest degree is 8.
Therefore, the term with the highest degree in the result will be 1.3t^3 + 8.
The next highest degree in the first polynomial is t^2, and the coefficient of this term is 0.4.
The next highest degree in the second polynomial is also t^2, and the coefficient of this term is -0.6.
Therefore, the term with the next highest degree in the result will be 0.4t^2 - 0.6t^2.
The next highest degree in the first polynomial is t, and the coefficient of this term is -24.
The next highest degree in the second polynomial is also t, and the coefficient of this term is -18.
Therefore, the term with the next highest degree in the result will be -24t - 18t.
So, the resulting polynomial is:
(1.3t^3 + 8) + (0.4t^2 - 0.6t^2) + (-24t - 18t)
= 1.3t^3 + 0.4t^2 - 24t + 8 - 0.6t^2 - 18t
= 1.3t^3 - 0.2t^2 - 42t + 8
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Emily is setting up a "Bob for Apples" tent at a fair. She bought 13 bags of apples and put them all in a huge tub. If there are a total of 78 apples in the tub, how many apples were in each bag?
If 78 apples are in the tub, there are 6 apples in each bag
What is division?A division is a process of splitting a specific amount into equal parts. For example, we can divide a group of 40 members into 4 groups of 10 members each or 10 groups of 4 members each, Or creating 2 groups of 20 members or 20 groups of 2 members.
This means that when dividing 40 by 10 we get 4 and when dividing 40 by 4 we get 10.
Emily sets up a tub by buying 13 bags of apple. The total apple in the tub when the 13 bags were poured are 78 apples.
Therefore to find the number of apple in each bad, we divide the total number of apple in the tub by the number of bags.
= 78/13 = 6 apples per bag
Therefore the number of apple in each bag is 6.
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aurora has $40 for lunch this week. She spends $7 on lunch each day for 5 days use an expression to find the amount of money Aurora has left at the end of the week
The expression that can be used to find the money Aurora has left is x+35= 40
What is linear expression?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.
Let x represent the money left with Aurora and the end of the week.
He spent $7 per day for 5 days. Therefore the total money spent is $7×5 = $35
Therefore the money left at the end of the week = x = 40-35
It can be written as x+35 = 40
Therefore the expression that can be used to find the amount of money left is x+35 = 40
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prokaryotes contain a ________chromosome, and eukaryotes contain ________ chromosomes. a. single-stranded circular; single-stranded linear
b. single-stranded linear; single-stranded circular
c. double-stranded circular; double-stranded linear
d. double-stranded linear; double-stranded circular
The correct answer is option a. Prokaryotes contain a single-stranded circular chromosome, and eukaryotes contain double-stranded linear chromosomes.
Prokaryotic organisms, such as bacteria, have a single chromosome that is circular and made up of a single strand of DNA. This chromosome is located in the cytoplasm, and it is not enclosed by a nuclear envelope.
Eukaryotic organisms, such as plants and animals, have multiple chromosomes that are linear and made up of two strands of DNA. These chromosomes are located in the nucleus, and they are enclosed by a nuclear envelope. Each chromosome consists of one long DNA molecule and associated proteins.
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Three sides of a quadrilateral are the same length, q. The length of the fourth side is 7 inches. The perimeter of the quadrilateral is 40 inches. Write an equation that represents the situation.
translate the following : five less than the quanity of a number plus one
Answer:
x-5+1
Step-by-step explanation:
This equation shows x as the quantity of the number, hope this helps!
