Robot Navigation Self-navigating robots are very useful in the real world. Reducing the risk of human error by having a computer do tasks can increase the safety of transportation: Airplanes have systems that automate takeoffs and landings. Some cars can parallel park themselves. Cargo ships have autopilots. Mazes offer a challenge that can be directly translated to these situations. In this task, you are developing navigation software for a company that makes robotic systems that can direct themselves. As a first-level test of the robot you are developing, you will have it navigate a maze. North West East South B:The arrow at the maze entrance indicates that the robot will be heading east when it enters the maze. When programming the robot, let the complex number d represent the direction the robot is facing. As the robot changes direction, the value of d will also change; so, the value of d is dependent on where the robot is in the maze. At the start of the maze, what is the value of d? C;While navigating the maze, the robot will need to be able to turn left and right. The first turn the robot will make is a left turn. What will the value of d be after the first turn?

Answers

Answer 1

The first left turn, the value of d will be -1i, indicating that the robot is now facing north.

What is value?

Value is the worth of something, which can be measured in terms of money, time or importance. It is something that is sought after and desired. Value can also be seen in terms of a person's character, morals, beliefs, and principles. It is an intangible concept that is difficult to quantify, but it is often sought after and is an important aspect of life. Value is what makes something worthwhile and irreplaceable.

The robot will need to be able to detect walls. As it moves through the maze, it will need to be able to detect when it is about to hit a wall. This can be done using sensors. The sensors should be able to detect the wall and the distance from the wall. This will allow the robot to turn in the correct direction and avoid hitting the wall.

The robot will also need to be able to detect when it has reached the end of the maze. This can be done by programming the robot to recognize when it has come to a dead end, or when it has reached a certain point in the maze. Once the robot has reached the end, it can then turn around and exit the maze.

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Related Questions

Heather deposits $500 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first years?

Answers

$10 in interest

500x.02

Tia's Snow Cone Xpress offers 2 sizes (small or huge), 4 flavors (cherry, vanilla,
strawberry, bubble gum), and 3 glow-in-the-dark spoon choices (green, purple, red).
1) Write out all possible outcomes in an organized fashion. How many different
possible combinations are there in total?.
2) What method did you use to make this determination? Why did you use that
method?
3) How many different snow cones include the cherry flavor and a green spoon?
How did you come up with this answer?

Answers

Answer:

1) Small-Cherry-Green, 2) Small-Cherry-Purple, 3) Small-Cherry-Red, 4) Small-Vanilla-Green, 5) Small-Vanilla-Purple, 6) Small-Vanilla-Red, 7) Small-Strawberry-Green, 8) Small-Strawberry-Purple, 9) Small-Strawberry-Red, 10) Small-bubble gum-Green, 11) Small-Bubble gum-Purple, 12) Small-Bubble gum-Red , 13) Huge-Cherry-Green, 14) Huge-Cherry-Purple, 15) Huge-Cherry-Red, 16) Huge-Vanilla-Green, 17) Huge-Vanilla-Purple, 18) Huge-Vanilla-Red, 19) Huge-Strawberry-Green, 20) Huge-Strawberry-Purple, 21) Huge-Strawberry-Red, 22) Huge-Bubble gum-Green, 23) Huge-Bubble gum-Purple, 24) Huge-Bubble gum-Red

b) 24

2) Tree diagram method

b) Each unique snow cone has an element of each category

3) 2

i) By counting

ii) By finding out the possible combinations

Step-by-step explanation:

The details of the options at Tia's Snow Xpress includes;

2 (different) sizes; Small or huge size

4 (different) flavors; Cherry, vanilla, strawberry, bubble gum

3 glow-in-the-dark spoon choices; Green, purple, red

1) Let the 'a' represent the small size let 'b' represent the huge size, let 'c' represent cherry, let 'v' represent vanilla, let 's' represent strawberry, let 'b' represent bubble gum, let '1' represent green, let '2' represent purple and let '3' represent red, we have;

The possible outcomes are;

ac1, ac2, ac3, av1, av2, av3, as1, as2, as3, ab1, ab2, ab3

bc1, bc2, bc3, bv1, bv2, bv3, bs1, bs2, bs3, bb1, bb2, bb3

With the use of MS Word, we have;

1) Small-Cherry-Green, 2) Small-Cherry-Purple, 3) Small-Cherry-Red, 4) Small-Vanilla-Green, 5) Small-Vanilla-Purple, 6) Small-Vanilla-Red, 7) Small-Strawberry-Green, 8) Small-Strawberry-Purple, 9) Small-Strawberry-Red, 10) Small-bubble gum-Green, 11) Small-Bubble gum-Purple, 12) Small-Bubble gum-Red

13) Huge-Cherry-Green, 14) Huge-Cherry-Purple, 15) Huge-Cherry-Red, 16) Huge-Vanilla-Green, 17) Huge-Vanilla-Purple, 18) Huge-Vanilla-Red, 19) Huge-Strawberry-Green, 20) Huge-Strawberry-Purple, 21) Huge-Strawberry-Red, 22) Huge-Bubble gum-Green, 23) Huge-Bubble gum-Purple, 24) Huge-Bubble gum-Red

Therefore;

b) There are 24 different combinations in total

2) The method used to find the combinations is a tree diagram with branches extending from, the size of the Snow Cone Xpress to the choices for the glow-in-the-dark spoons

b) The method was used because of there are more than two categories each with different number of items and each unique Snow Cone Xpress option comprises of an element of each category

3) The number of Snow Cones that includes the cherry flavor and a green spoon = 2 different Snow cones

b) The answer can be arrived at by either;

i) Counting from the listed snow cone options

ii) Noting that a setting the only options for flavor as cherry and the only option for the glow-in-the-dark spoon as green and then combining both categories into one category option with the connection 'and' we have the possible combination as 3 items taking 2 at a time less the combination of the small and huge snow cones as follows;

Combinations = ₃C₂ - 1 = 2

Which table of values represents a linear function?

Answers

Answer: A

Step-by-step explanation:

This is because the scale factor is 1.25 so this means that any number you do ex 12 then multiply that by 1.25 it equals the next number in the table, in this case 15. So A is the table that represents a linear function.

Find the nth term of the following sentence
-5,-2,3,10,19

Answers

On solving the provided question, we can say that An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant.

what is arithmetic sequence?

Arithmetic sequences are groups of integers that are arranged in a certain order and share a common difference between each term. The tolerance, for instance, is six in the mathematical progression 3, 9, 15, 21, and 27. Arithmetic progression can also be referred to as such. a series that is produced by adding the same value repeatedly. for instance, 1, 4, 7, 10, 13, 16, 19, 22, and 25. Sequences that have an arithmetic difference between two successive phrases are known as arithmetic sequences. A progression in math with a tolerance of 2 is 2,4,6,8,10.

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant. 2,4,6,8,10….is an arithmetic sequence with the common difference 2.

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explain what the slope and intercept mean in each situation the amount of money y in a cash box after x tickets are purchased for carnival games. The slope of the line is 1/4 and the y intercept is 8

Answers

Answer:

The (1/4) slope is the prive per ticket.  The y intercept is the money in the cash box before any tickets were sold.

Step-by-step explanation:

Let y be the money and x the numbers of tickets sold, as requested.  We are told that the equation for this situation is:

   y = (1/4)x + 8

Let's assume the money is in units of dollars.  The slope of (1/4) would mean that each carnival game ticket cost $(1/4), or 25 cents.  The y-intercept is the value of y when x=0, which means zero tickets have been sold.  That means that the cash box had $8 before any sales were made.  [perhaps to use for making change].

In a class of 50 students, 9 students play both soccer and basketball. A total of 21 students play basketball, and 15 students do not play soccer or basketball. How many students play only soccer?

Answers

Answer:

14 students

Step-by-step explanation:

15 do not play any.

50-15=35

21 students play basketball.

35-21=14

14 students play only soccer

What are the coefficients of the equation 3x 6y 13 *?

Answers

In the equation [tex]3x-6y=-13[/tex] , the coefficient of equation are , coefficient  of  [tex]x[/tex] is [tex]3[/tex] and the coefficient of [tex]y[/tex] is [tex]-6[/tex] .

What are Coefficients ?

The Coefficients are defined as a number that is placed with a variable. It is a integer that is multiplied by the variable and written next to it.

In simpler words, we can say that ; a coefficient is a multiplicative factor in the terms of a polynomial, a series, or any expression.

The variables that do not have a number written with them are assumed to have 1 as their coefficient.

For example, in the expression [tex]3x[/tex] , the coefficient of [tex]x[/tex] is [tex]3[/tex] ,  but in the expression [tex]x^{2} +3[/tex], [tex]1[/tex] is the coefficient of [tex]x^{2}[/tex].

The equation to find the coefficient is given as [tex]3x-6y=-13[/tex] ,

we see that , the numerical part with [tex]x[/tex] is [tex]3[/tex] and with [tex]y[/tex] is [tex]-6[/tex] ;

Therefore , the coefficient of [tex]x[/tex] is [tex]3[/tex] and [tex]y[/tex] is [tex]-6[/tex] .

The given question is incomplete , the complete question is

What are the coefficients of the equation 3x -6y = - 13 ?

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Simplify 1/6x+3/4(1/2x−4)

Answers

Answer:

13/24x - 3

Step-by-step explanation:

Hope this helps!

The simplified form of expression 1/6x+3/4(1/2x−4) is 7/24x-3.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is  1/6x+3/4(1/2x−4)

One by six times of x plus three by four times of one by to of x minus four.

Apply distributive property to remove the parenthesis

1/6x+3/4(1/2)x-3/4(4)

1/6x+3/8x-3

The LCM of 6 and 8 is 24.

4x+3x-72/24

Add the like terms in the above expression.

7x/24-72/24

7x/24-3

Hence, the simplified form of 1/6x+3/4(1/2x−4) is 7/24x-3.

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PLEASE HELP ME WITH THIS QUESTION, ILL BRAINLIEST YOU

Answers

Ok the 3 quadrilateral that are a parallelogram is a b and c

If you know the answer to this question please help!! ASAP I will give brainiest! Fr

the public school enrollment of a city is 13,500. Enrollment is declining at a rate of 4.5% per year. predict the enrollment in 5 years.

Answers

Answer:

In five years, the enrollment would have been 10,724 students

Step-by-step explanation:

The general depreciation formula is given as;

P = I( 1 - r)^t

where P is the present population

I is the initial

r is the rate of depreciation = 4.5% = 4.5/100 = 0.045

t is 5 years

substituting these values;

P = 13,500 (1- 0.045)^5

P = 10,723.84

how do i solve this problem 5.50h=44

Answers

Answer:

h = 8

Step-by-step explanation:

5.50h=44

Divided both sides by 5.50

h = 8

Let's check

5.50(8) = 44

44 = 44

So, h = 8 is the correct answer!

Kate loves to read. She wants to read all 70 books in her bookcase and has already finished 2. Write an equation to represent the time it will take for Kate to read all 70 books if she can read 3 books per month.

Answers

Answer:

simply do 70 divided by 12, then that divided by 3, in total it should take 1, 2, or 3 hours to read 3 books a month

Step-by-step explanation:

On a negatively skewed curve, which is true?

Answers

The mean of negatively skewed facts can be less than the median. If the information graphs symmetrically, the distribution has 0 skewness, no matter how lengthy or fat the tails are.

What is a curve ?

Curve can be defined as the path on which it is usually generated by the equation.

In statistics, a negatively skewed (also called left-skewed) distribution is a sort of distribution wherein more values are targeting the right side (tail) of the distribution graph while the left tail of the distribution graph is longer.

negatively skewed distribution refers to the distribution kind where greater values plot at the graph's proper facet, the tail of the distribution is longer on the left aspect, and the suggest is decrease than the median and mode. It is probably 0 or poor due to the data being distributed negatively.

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Find the missing value indicated in the diagram

Answers

Answer:

80

Step-by-step explanation:

Find the measure of the missing angles.

Answers

Answer:

a = 33 degrees

Step-by-step explanation:

Note that 57 degrees and Angle a are complementary:  they add up to 90 degrees.

Thus, a = 90 degrees less 57 degrees = 33 degrees

A solid box with height 90cm, width 60cm and length 30cm needs to be painted.
The paint costs £0.03 per cm2.
How much will it cost to paint the box?

Answers

Step-by-step explanation:

Area = 2LH + 2LW + 2WH

= 2(LH + LW + WH)

=2(30*90+30*60+60*90)

=2(2700+1800+5400)

=2(9900)

=19800cmsquare

Therefore to paint the solid box it will cost

0.03 * 19800

= £594

Describe what moves you could use to create the transformation of the original image shown below.
original

Answers

The required transformations of the original image are the first translation of 7 units to the right side, then a reflection across the x-axis.

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The triangle is given in the represented graph, which vertices are as follows :

(-5, -1)

(-2, -1)

(-5, -3)

The image after a translation of 7 units to the right side will be given a triangle the vertices are as follows :

(-5 + 7, -1) → (2, -1)

(-2 + 7, -1) → (5, -1)

(-5 + 7, -3) →(2, -3)

Then the image after a reflection across the x-axis will be a triangle the vertices are as follows :

(2, -1) → (2, 1)

(5, -1) → (5, 1)

(2, -3) → (2, 3)

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Find out the answer to 4x+12=63

Answers

Answer:

The answer to this question is x= 51/4

Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.

WILL GIVE 100 POINTS!

A. g(-4) = -11
B. g(7) = -1
C. g(0) = 2
D. g(-13) = 20

Answers

Answer:

D. g(-13) = 20

Step-by-step explanation:

Given information:

Domain:  -20 ≤ x ≤ 5Range:  -5 ≤ g(x) ≤ 45g(0) = -2g(-9) = 6

Option A, g(-4) = -11 cannot be true for g since the y-value of -11 is not in the given range.

Option B, g(7) = -1 cannot be true for g since the x-value of 7 is not in the given domain.

Option C, g(0) = 2 cannot be true for g since we have been given g(0) = -2.

Option D, g(-13) = 20 is true for g since the x-value of -13 is in the given domain, and the y-value of 20 is in the given range.

please help: find TZ​

Answers

it would be 20. you set the equations equal to one another and then you would plug in what you got for X.

Compute the following for the function defined below. Simplify your answers. Note: Use lowercase letters in your answers. f(x) 3x 8 (a) f(x+h) - (b) f(x+h)-f(x)= (c) ixth-fx). Submit Answer

Answers

Answer is 3h after simplification.

What is function?

Function is a mathematical expression that represent the relationship between an independent variable and dependent variable. The set of values of independent variable is termed as input of function and the set of value of dependent variable is called output.

What is the value of function?

given, a function. f(x) = 3x -8

if we want to write x + h instead of x

then the function will be f(x + h) = 3(x + h) - 8

f (x + h) - f(x) = 3(x+ h) - 8- (3x -8)

f( x + h) - f(x) = 3(x +h) - 8 - 3x+ 8

f(x + h) - f(x) = 3(x + h) - 3x

f(x + h) - f(x) = 3x + 3h - 3x

f(x +h) - f(x) = 3h

hence, the above is the result.

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Please help I have a learning disability
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
72 - (63 - 8) and (72 - 63) - 8
yes, it uses the Identity Property
yes, it uses the Associative Property
yes, it uses the Commutative Property
No they are not equivalent. The first expression equals 17 and the second equals 1.

Answers

Answer: yes, it uses the Associative Property

Step-by-step explanation:

What is the x-intercept of the graph of y x2 − 4x 4?

Answers

The x-intercept for the graph of y is found to be at x = 2.

Define the term x-intercept?The points where such a line crosses an axis are known as the x-intercept and the y-intercept, respectively.The graph's intersection with the x-axis is known as the x-intercept.Therefore, the y coordinate would be zero at that time.

The quadratic equation given is

y = x² - 4x + 4

Put y = 0

0 = x² - 4x + 4

It becomes perfect square for (x - 2).

It can be written as;

(x - 2)² = 0

Take square root on the both sides

x - 2 = 0

x = 2

Thus, the x-intercept for the graph of y is found to be at x = 2.

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The correct question is-

What is the x-intercept of the graph of y = x² - 4x + 4?

what is the equation of a line passing through the origin and (3a, 5g)

Answers

The equation of line passes through the points (0, 0) and (3a, 5g) will be;

⇒ y = (5g/3a) x

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (0, 0) and (3a, 5g).

Now,

Since, The equation of line passes through the points (0, 0) and (3a, 5g).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (5g - 0) / (3a - 0)

m = 5g / 3a

Thus, The equation of line with slope 5g/3a is,

⇒ y - 0 = 5g/3a (x - 0)

⇒ y = (5g/3a) x

Therefore, The equation of line passes through the points (0, 0) and

(3a, 5g) will be;

⇒ y = (5g/3a) x

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A sequence begins with 2. Each term is calculated by multiplying the previous term by −1, then subtracting 3.

Which answer correctly represents the sequence described?


a) {2,−5,2,−5,…}

b) 2,−5,2,−5,…

c) 0,−3,0,−3,…

d) {0,−3,0,−3,…}

Answers

The sequence is going to be {2,−5,2,−5,…}. Since we can see that options A and B are one and the same, the correct answer is options A and B.

A sequence is a successive arrangement of two or more things that are constructed on the basis of a given formula.

Here, the first term is = 2

Each previous term has been multiplied by = -1

And then, it has been subtracted by = 3

So, following the formula given, we conclude that the second value will be = 2×(-1)-3 = -5

Similarly, the formula is going to be applied to the second term now which is -5, and then the third term is going to be = -5×(-1)-3 = 2

In this fashion, we can make the sequence. Options A and B is the correct answer.

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is equal to 1,024. Evaluate the following expressions.
a. 46
b. 44
43.42

Answers

Answer:

b is 256 c is 48

Step-by-step explanation:

Is a square root of 10 closer to 9 or 16?

Answers

Answer:

9.

Step-by-step explanation:

The square root of 10 is approximately 3.16 so it would be closer to 9.

Which system of equations is represented by the graph?

one parabola opening upwards and one parabola opening downwards intersecting at points (3, 9) and (-3, 9)

y = x2 + 3x

y = –x2 + x + 18
y = x2

y = –x2 +18
y = x2

y = x2 + 18
y = x2

y = –x2 – x – 18

Answers

Answer:

Blue:  y = x²

Red:  y = -x² + 18

Step-by-step explanation:

The blue parabola opens upwards, therefore the term in x² is positive.

The red parabola opens downwards, therefore the term in x² is negative.

The x-value of the vertices of both parabolas is x = 0.

Therefore, the equations of both parabolas will not have a term in x.

The y-intercept of the blue parabola is also the y-value its vertex: y = 0.

The y-intercept of the red parabola is also the y-value its vertex: y = 18.

Therefore, the equation for each parabola is:

Blue:  y = x²Red:  y = -x² + 18

To check, substitute x = ±3 into both equations:

Blue

[tex]x=3 \implies y=(3)^2=9[/tex]

[tex]x=-3 \implies y=(-3)^2=9[/tex]

Red

[tex]x=3 \implies y=-(3)^2+18=9[/tex]

[tex]x=-3 \implies y=-(-3)^2+18=9[/tex]

Answer:

y = x2

y = –x2 +18

Step-by-step explanation:

I got it right on the test.

What is 789+765-98-332-3

Answers

That would be 1,121.

A group of tourists orders a special meal at a restaurant. The cost of each person's meal is $38. Each person will pay a $7 tip. What is the total restaurant bill for the group?

Answers

Answer: To write an equation

y= 7x+38

Answer:

A group of tourists orders a special meal at a restaurant. The cost of each person's meal is $38. Each person will pay a $7 tip. What is the total restaurant bill for the group?

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