PLEASE HELP!!
Given the answer for part D, write an expression that will tell you the direction the robot is going if, in the course of its journey, it turns left 21 times and turns right 22 times. Does the order the robot makes the turns in matter for the purpose of knowing the direction it is finally facing?


The answer to part D is in the picture...

PLEASE HELP!!Given The Answer For Part D, Write An Expression That Will Tell You The Direction The Robot

Answers

Answer 1

Answer:

[(i^21) - (i^22)]d

the direction will not matter because the direction will always be the same no matter what order you choose  

Step-by-step explanation:

This is the answer

Answer 2

The expression that will tell you the direction the robot is going will be ((i)²¹*(-i)²²)d i.e. right to the initial direction. And the order does not matter for the direction it is finally facing.

What is rotation in complex plane?

When in the complex plane, the line is rotated clockwise, then the line is multiplied by -i and when the line is rotated anti-clockwise, then the line is multiplied by i.

A right turn is the clockwise rotation of the direction vector by the angle of 90°. It is equivalent to multiplying the complex number by -i.

A left turn represents a counterclockwise rotation of the direction vector by the angle of 90°. It is equivalent to multiplying the complex number by i.

Here assume the initial direction vector of the robot is d

the robot is turned to the left 21 times. so now the direction vector will be di²¹. Then it is rotated right 22 times,  now the direction vector will be (di²¹)*(-i)²²=d((i)²¹*(-i)²²).

So, now the direction that the robot is going= d((i)²¹*(-i)²²)= di²¹⁺²²=di⁴³= d(-i)= -di

means the robot is the right of the initial direction.

Now the expression that shows the direction that the robot is going is d((i)²¹*(-i)²²).

The order does not matter as the direction will always be the same irrespective of the order.

Therefore The expression that will tell you the direction the robot is going will be ((i)²¹*(-i)²²)d i.e. right to the initial direction. And the order does not matter for the direction it is finally facing.

Learn more about the complex plane

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Related Questions

Please help! Its algebra 2

Answers

Answer:

Step-by-step explanation:

1. factor completely

5. simplify first fraction

4. common denominator

2 add the fractions

3. open paranthesis and combine like terms

A cardboard box has edges of length 5.5 in, 3.2in,and 7.25 in.what is the volume of the box?I will gave u Brainliest if u tell me the answer have a nice day

Answers

Answer:

The answer is 127.6

Step-by-step explanation:

To find the volume of something, you multiply.

So:5.5 times 3.2 times 7.25 is equal to 127.6

HOPE THIS HELPS YOU!!!!    :)

Answer:

127.60 square inches

Step-by-step explanation:

Multiply the diameters all together to get your answers.

5.5 x 3.2 x 7.25

Multiply

5.5 x 3.2 = 17.6

Multiply some more

17.6 x 7.25 = 127.6

You can also just multiply like this:

5.5 x 3.2 x 7.25 = 127.6

Hope this helped :)

Please consider Brainliest :)

pls write the steps u did​

Answers

Answer:

They aren't parallel because the intersections with Via La Playa do not make equal alternate interior, alternate exterior angles, or corresponding angles.

Step-by-step explanation:

Angle a is 140 degrees since it and 40 degrees are supplementary. The angle supplementary to 130 degrees is 70 degrees. All of the vertical angles are congruent.

PLEASE HELPPPPP ASAPPP

Answers

Answer:

y = (-3/5)x - 7

Step-by-step explanation:

you are given the points (5,-10), (-10,-1)

a slope of (-1+10)/(-10-5) = -9/15 = -3/5 can be determined

using the point (0,-7), we can get y+7=(-3/5)(x - 0)

simplified: y = (-3/5)x - 7

Which data set matches the line plot?

Answers

Answer:

The answer is below

Step-by-step explanation:

The Correct data set is 1/4, 1/2, 1/2, 1, 1, 1, 1, 1 1/4, 1 1/4, 2, 2, 2, 2, 2, 2, 2.

The Correct option is (B)

What is Box- plot?

An illustration of variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data on the same graph.

Given:

As, given from the box plot

1/4 - 1 cross

1/2 - 2 cross

3/4- 0 cross

1 - 4 cross

1  1/2 - 0 cross

1 1/4 - 2 cross

1 3/4 - 0 cross

2- 6 cross

So, the correct set is 1/4, 1/2, 1/2, 1, 1, 1, 1, 1 1/4, 1 1/4, 2, 2, 2, 2, 2, 2, 2

Learn more about Box- plot here:

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Please Rate 1-10, Then also add what your favorite one is.

Answers

Answer:

first one

Step-by-step explanation:

first one 10/10

2nd ome 9.6/10

I like the first one better

Answer:

2 one is my favorite

Step-by-step explanation:

1 , 9

2, 10

3, 8

4, 5

5, 1

Item 3
Oil is spilled onto a kitchen floor. The area covered by the oil at time t is given by the function A, where A(t) is measured in square centimeters and t is measured in seconds. Which of the following gives the rate at which the area covered by the oil is changing at time t=10 ?

Answers

Answer:

By an online search, i found that the options are:

Option A. A(10)

Option B. A(11)-A(9)

Option C. A(10)/10

Option D. A’(10)

Let´s start by defining the concept of a derivative.

When we have a function f(x), the derivative, f´(x), is a measure of the rate of change of f(x) with respect to the variable x.

Then if A(t) represents the area covered by the oil, A´(t) is the rate of change of this area as a function of t.

Particularly, A´(10), will be the rate of change at t = 10.

Then the correct option is: Option D. A´(10)

A light-year is a unit used to measure large distances in space. One light-year is approximately equal to 5.88 trillion miles. On a map of the Milky Way Galaxy, the scale is 1 inch:70 light-years. If two stars on the map are 19 inches apart, about how far apart are they in the galaxy?

Answers

Answer:

[tex]7.8204\times 10^{15}\ \text{miles}[/tex]

Step-by-step explanation:

In the map the scale is

[tex]1\ \text{inch}=70\ \text{light-years}[/tex]

So

[tex]19\ \text{inches}=19\times 70=1330\ \text{light-years}[/tex]

In miles

[tex]1\ \text{light-year}=5.88\times 10^{12}\ \text{mi}[/tex]

[tex]1330\ \text{light-years}=1330\times 5.88\times 10^{12}=7.8204\times 10^{15}\ \text{miles}[/tex]

The galaxies are [tex]7.8204\times 10^{15}\ \text{miles}[/tex] apart.

find the range value of x which satistfy inequality (x + 2)² > 2x + 7

Answers

Answer:

the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]

Step-by-step explanation:

We need to find the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex]

Solving:

[tex](x + 2)^2 > 2x + 7[/tex]

Using formula: [tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex]x^2+4x+4>2x+7\\x^2+4x+4-2x-7>0\\x^2+4x-2x+4-7>0\\x^2+2x-3>0[/tex]

Now factoring the term: [tex]x^2+2x-3>0[/tex]

Breaking the middle term: 2x= 3x-x

[tex]x^2+2x-3>0\\x^2+3x-x-3>0\\x(x+3)-1(x+3)>0\\(x-1)(x+3)>0\\x-1>0 \ or \ x+3>0\\x>1 \ or \ x<-3[/tex]

So, the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]

Please help me with this

Answers

Answer:

no she does not have enough floir for baking

Answer:

Since the amount of flour required is more than amount purchased, Karina does not have enough flour to make the bread.

Step-by-step explanation:

[tex]2\frac{2}{3}[/tex]= [tex]\frac{8}{3}[/tex]

[tex]2\frac{5}{7} = \frac{19}{7}[/tex]

Cross multiply the 2 values and compare

[tex]\frac{8}{3} and \frac{19}{7}[/tex]

8x7 and 19x3

56<57

Which equation matches the graph?

Answers

Answer:

A

Step-by-step explanation:

The area of a square garden is 1/121 km squared. How long is each side?

Answers

Answer:

[tex]hello[/tex]

[tex]the \: area \: of \: square \\ \: garden \: = 1/121 \: {cm}^{2} [/tex]

,[tex]sides = ?[/tex]

[tex]now[/tex]

[tex]area \: = \ {sides}^{2} \\ [/tex]

[tex]=>1/121 \: = \: {sides}^{2} \\ \\ =>\sqrt{1/121} \: = \: sides \\ \\=>1/11 cm = \: sides[/tex]

[tex]therefore, \: sides \: of \: the \: \\ squre \: is \: 1/11cm[/tex]

Have a safe Life

Write an equation that is perpendicular to the line 8x-4y=12 and pass through the origin

Answers

Answers


Explanation

So first we’re gonna change the equation to y=Mx+b by subtracting the 8x and then dividing both sides by -4. This can be show like this

8x-4y=12
-8x. -8x

-4y=-8x+12
/-4. /-4

Y=2x-3

So now that we have the equation in Y=Mx+b. The problem still isn’t done because it’s asking us to set up an equation that’s perpendicular. Which means the slope becomes the opposite

So the slope isn’t 2 anymore but instead -1/2! So now that we know that we need to make the line go through the origin which is very easy because you can just set the y intercept to 0.

So now that the perpendicular line is

Y=-1/2x or y=-1/2x +0

I hope I explain this well!

Please mark as Brainliest

Does the table represent a proportional or a nonproportional linear relationship?​

Answers

Answer:

nonproportional

Step-by-step explanation:

proportional would mean that the y intercept is 0 but it's 3

Suppose that a phone that originally sold for $800 and loses 3/5 of its value each year after it is released.
1. After 1 year, what is the value of the phone?
2. After 2 years, what is the value of the phone?
3. Write an equation for the value of the phone, p, t years after it is released.

Answers

Answer:

1 st year = $320

2nd year $128

320p - 192t = $128

Step-by-step explanation:

Michael charges a flat rate of $25 plus $20 per hour, x, to service air conditioners. The total cost Michael charges is f(x). [3 points]
A) What does the independent and the dependent variables represent?
Independent __________________________________
Dependent ____________________________________
B) Write a function rule in function notation for the total cost of his services, for x hours.
Function Rule _____________________________

Show work and answer throughly

Answers

Part (A)

Answers:

Independent Variable = x = number of hours

Dependent Variable = f(x) = total cost in dollars

---------------------------------

Explanation:

The independent variable is always x. When dealing with time, the time value is often the independent variable as time does its own thing. It marches on without any influence or external factors to change it.

On the other hand, the total cost is affected by time. The more time goes on, the higher the total cost will be. We say the total cost is dependent on the time. The dependent variable is always y, which can be replaced with f(x). In short, y = f(x).

===========================================================

Part (B)

Answer:

f(x) = 20x + 25

----------------------------------

Explanation:

The flat rate of $25 represents the initial cost. This is the cost if x = 0 hours of work is done. So this is the cost to get in the door, so to speak. You can think of this as the parts cost (from "parts and labor").

On top of that initial cost is the cost of $20 per hour. This can be thought of as the labor cost. If a job takes 1 hour to do, then we add on $20 to the flat rate of $25. If it takes 2 hours, then we add on 2*20 = 40 dollars. And so on. For x hours, we add on 20x dollars. Whatever x is, we multiply by 20.

So overall we have a flat rate of $25 and a variable rate of 20x dollars giving a total cost of f(x) = 20x+25

As a check, plugging x = 0 should lead to f(x) = 25

Plugging x = 1 should lead to f(x) = 20+25 = 45

And so on.

Identify the vertex of g(x) = (x + 14)? - 8.
(-14, -8)
(-14,8)
a.
b.
G
d.
(14, -8)
(14, 8)

Answers

Do you think you can send a picture of the problem I’m not really understanding

Translate this sentence into an inequality
PLZ HELP ME!

Answers

Answer:

Step-by-step explanation:

(b+8)≤18

1. Simplify:
4(4y-7y^{2})-9(5y+2)

2. Simplify:
24 – 4(5y – 6z) + 3y – 7z

Answers

Answer:

1)-

How to solve your question

Your question is

4(4−72)−9(5+2)

4(4y-7y^{2})-9(5y+2)4(4y−7y2)−9(5y+2)

Simplify

1

Rearrange terms

4(4−72)−9(5+2)

4({\color{#c92786}{4y-7y^{2}}})-9(5y+2)4(4y−7y2)−9(5y+2)

4(−72+4)−9(5+2)

4({\color{#c92786}{-7y^{2}+4y}})-9(5y+2)4(−7y2+4y)−9(5y+2)

2

Distribute

4(−72+4)−9(5+2)

{\color{#c92786}{4(-7y^{2}+4y)}}-9(5y+2)4(−7y2+4y)−9(5y+2)

−282+16−9(5+2)

{\color{#c92786}{-28y^{2}+16y}}-9(5y+2)−28y2+16y−9(5y+2)

3

Distribute

−282+16−9(5+2)

-28y^{2}+16y{\color{#c92786}{-9(5y+2)}}−28y2+16y−9(5y+2)

−282+16−45−18

-28y^{2}+16y{\color{#c92786}{-45y-18}}−28y2+16y−45y−18

4

Combine like terms

2)

−17y+17z+24

See steps

Step by Step Solution:

STEP1:Equation at the end of step 1

((24 - 4 • (5y - 6z)) + 3y) - 7z

STEP2:

Final result :

-17y + 17z + 24

−282+16−45−18

-28y^{2}+{\color{#c92786}{16y}}{\color{#c92786}{-45y}}-18−28y2+16y−45y−18

−282−29−18

-28y^{2}{\color{#c92786}{-29y}}-18−28y2−29y−18

Solution

−282−29−18

Good morning can anybody help me out with this assignment please and thanks! \
please this if for an grade

Answers

Good Morning hope this helped.

Answer:

1: The cost of twelve bottles is $24 cause 12x2=24.

2: The ratio is 24/12 or 2/1

3: $2 every time

What percent is 14 of 20?
SHOW UR WORK

Answers

14% of 20

A percent is out of 100
14 is out of 100 = 14/100
As decimal would be 0.14
0.14x20 = 2.8

Answer:

14 is 70% of 20

Step-by-step explanation:

1. We assume, that the number 20 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 20, so we can write it down as 100%=20.

4. We know, that x% equals 14 of the output value, so we can write it down as x%=14.

5. Now we have two simple equations:

1) 100%=20

2) x%=14

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=20/14

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14 is what percent of 20

100%/x%=20/14

(100/x)*x=(20/14)*x       - we multiply both sides of the equation by x

100=1.42857142857*x       - we divide both sides of the equation by (1.42857142857) to get x

100/1.42857142857=x

70=x

x=70

now we have:

14 is 70% of 20

Which represents the value of Point D on the number line?
A
B
С
D
-2
0
2
-4
-(-3)
O-(-4)

Answers

Answer:

c

Step-by-step explanation:

your welcome

Answer:

D

Step-by-step explanation:

what is it????????? s

Answers

3.25 meters

First find the rectangle area by multiplying the dimensions (1*2.5)
Next take the bottom number and subtract 2.5 from it to find only the triangle length (1.5)
Next multiply the width and length of the triangle (1.5*1) and divide by 2 (.75)
Add them together
3.25

(-7x⁵+14-2x)+(10x⁴+7x+5x⁵)​

Answers

Answer:

− 2 x^5 + 10 x^ 4 + 5 x + 14

Step-by-step explanation:

Complete the missing value in the solution to the equation.

Answers

Answer:

x = 0

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define

6x + 7y = 4x + 4y

y = -4

Step 2: Solve for x

Substitute:                               6x + 7(-4) = 4x + 4(-7)Multiply:                                   6x - 28 = 4x - 28Add 28 on both sides:            6x = 4xSubtract 4x on both sides:     2x = 0Divide both sides by 2:           x = 0

Answer:

The correct Answer to this is 6

Step-by-step explanation:

I also had this on Khan and got it right many times.

g(x) = 5x – 12. What is g(8)?

Answers

Answer:

38?

Step-by-step explanation:

the answer dude lol..............

PLEASE HELP ME !

Determine the range of the inequality 4x2 + 3x - 10

Answers

Answer:

-22

Step-by-step explanation:

type it in google

10pts and I’ll mark brainliest!
(Also EXPLAIN the reasoning you used to write the expression)

Answers

I think it is -5................

3 James completely covered a square poster board using 68.2 in. of cardstock. Which measurement is
closest to one side of the poster board in inches?​
a. 34 in.
b.8 in.
c. 6 in.
d.30 in.
I NEEP HELPP FAST

Answers

Answer:

8 in

Step-by-step explanation:

Area of a square = l×w

Since it is a square then l and w are equal to each other.

So we can instead just say l^2 = A

l^2 = 68.2

l = square root of 68.2

l = 8.26

A game decreased in price by 1/2
After the reduction it was priced at £23.
What was the original price of the game?

Answers

Answer:

23 x 2 = 46

the answer is 46 pounds

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