Hi everyone, I’m currently trying to dive into some lessons before school starts and I’m taking algebra 2 this year and the lessons that I am currently studying about is imaginary numbers. I had a few questions so if anyone could help me out that’d be great! Starting off, while watching the video, the guy explaining says that j^4 = 1 because it is like j times j^3 and I’m just confused because I don’t understand where they got the 1 from…

Answers

Answer 1
An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i² = −1. The square of an imaginary number bi is −b². For example, 5i is an imaginary number, and its square is −25

Related Questions

Alaina wants to decide whether her current cell phone plan is better than a package that another company offers. To compare the two plans, she plotted two lines on a graph, where y represented the total cost of one month’s service and x represented the megabytes of data that she used in a month. Which part of the graph will represent the cost per megabyte of data used in each plan?

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Answer:

The y-intercepts of the two lines will represent the cost per megabyte of data used in each plan.

Step-by-step explanation:

i also took the test

Answer:

The y intercept forms the two lines.

Step-by-step explanation:

I just took the test

State the slope of the line shown below (help ASAP)
Is it a, b, c or d?

Answers

Answer:

D

Step-by-step explanation:

(the above graph depicts a horizontal line that intersects the y axis at -2)

(so, y = -2)

Answer:

0

Step-by-step explanation:

Horizontal line x axis is 0 while the vertical y axis is undefined.

What is the value of x?

Answers

Answer:

x=5

Step-by-step explanation:

Since both of these length are equal, 6x+4=8x-6, 2x=10, x=5

Solve the equation by finding square roots. x2-1/4=0

Answers

Answer:

x = ±1/2

Step-by-step explanation:

x^2-1/4=0

Add 1/4 to each side

x^2 -1/4+1/4 = 0+1/4

x^2 = 1/4

Take the square root of each side

sqrt(x^2) = sqrt(1/4)

x = ±1/2

I need help to find y=

Answers

Answer:

I know but I will not tell you have to do by self

complete the square x^2+45=-14x

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2
+
4
5
=

1
4

x
2
+
45
=

14
x
x2+45=−14x

2
+
4
5


1
4

=
0

25. Several functions represent different savings account plans. Which functions are linear?
A. y = 3.6 x2
B. y = 5.25 x
c. y = 0,5 Х
D.y = 2.5 x +7
E. y = 2.50(1.3)*
NEED HELPP​

Answers

Answer:

b, c, d

Step-by-step explanation:

y=kx+b

or

y=kx

so y=5,25x-right

y=0,5x-right

y=2,5x+7-right

I need help finding the shaded area for d, e and f please and thank you ​

Answers

Answer:

d, 64.26 e, 27.475 f, 126.14

Step-by-step explanation:

For d, the diameter is 12 and the equation to find the circle is πr2. 6 is the radius, so 6x6=36, and 36x3.14 cause π=3.14. 36x3.14=113.04, and we have to divide by 2 cause its only half of the circle is shaded. 113.04/2=56.52. Now we have to do 12x12 to find the whole area of the square which is 144, then 144-113.04 cause we are finding the shade outside of the circle, so 144-113.04=30.96. Finally we divide by four of the outside corners, so 30.96/4=7.74. 7.74+56.52=64.26

So D is 64.26

WARNING: The rest of them i'm not gonna explain much of it i'm just gonna say what to do, but i'll put the answers! they are all very similiar. Also, i might be wrong, so if i'm wrong i'm sorry, i'm learning too!

For E, we have to find the smaller circle that has diameter of 10, then the bigger circle is diameter of 15, so find the area of the bigger circle then minus the smaller circle than divide by 2.

78.5-23.55=54.95

54.95/2=27.475

for F, we have to find the area of the half circle with diameter of 14, so find the area of the whole circle, and we dont have to divide two cause we have the other half on the other half, and half plus a half is a whole. Then we have to do 20x14 to find the whole square minus the circle.

280-153.86=126.14

Remember this might be wrong, so sorry if it is

Calculate the average speed in km/h for a plane that travels 1300km in 4 hours??

Answers

Answer:

The plane is going 325 kilometers per hour :)

Step-by-step explanation:

To find the average speed per hour, divide 1300 by 4.

1300/4 = 325

Can someone help me

Answers

Answer:

G' (-2,-1) F' (-5,0) E' (-4,3)

Step-by-step explanation:

This is because R90(x,y)=(-y,x)

G(-1,2)=G'(-2,-1)

F(0,5)=F'(-5,0)

E(3,4)= E'(-4,3)


What is the surface area of the cylinder?
•9377 ft2
•5787 ft2
•1,156 ft2
•2891 ft2

Answers

Answer:

    3631.681108 ft^2

Step-by-step explanation:

The surface area of a cylinder is

SA = 2pi r^2 + 2pi r h  where r is the radius and h is the height

    = 2pi (17)^2  + 2 pi (17)(17)

    = 578pi +578pi

    = 1156pi

Approximate pi with the pi button

    3631.681108 ft^2

A multiple-choice test has five questions, each with four choices for the answer. Only one of the choices is correct. You randomly guess the answer to each of the questions. Find the probability that you answer three of the questions correctly. Find the probability that you answer at most two of the questions correctly.

Answers

Jajsbsbhsshsjjs shshsjis shsjsjejs. Sbsksisisis

the scale of a map is 1cm to 12km what is the distance on land if the length from town A to town B on the map is 15cm​

Answers

Answer:

180 km

Step-by-step explanation:

1 cm=12 km

15 cm=12×15=180 km

URGENT!!! ABCD is parallelogram. If m

Answers

Answer:

angle BAD= angle BCD = 100

then,

angle BCD + angle ECD = 180

100+ angle ECD = 180

angle ECD= 180-100 = 80

angle ECD =80

Please help
Solve for x

Answers

X= 15 but I’m not sure

Answer:

X=15 since it the same

Step-by-step explanation:

X is simply equal to 15 because it an equilateral triangle

James is studying the decline of a certain bird species. James’ observations are as follows: Year 1900 1950 1990 2005 Population (in thousands) 6012 72 2 .5 What is the best fit exponential decay equation for this decline? 5=6012(1-0.06)105 At what year did the population first drop below 1,000,000? If this trend continues, what will be the population in 2020?

Answers

6012435373 is the answer

The number of pairs of corresponding angles formed by a transversal of two
lines is

Answers

Answer:

When a transversal intersects with two parallel lines eight angles are produced. The eight angles will together form four pairs of corresponding angles.

the perimeter of equilateral triangle is 21m. Find the area. Using Heron's Formula


plzzz answer fast i will mark brainliest.

Answers

Answer:

A ≈ 21.22 m²

Step-by-step explanation:

The area (A) of a triangle using Heron's formula is

A = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

where s is the semi perimeter and a, b, c the sides of the triangle.

Here the perimeter of the equilateral triangle is 21 m , then

a = b = c = 21 ÷ 3 = 7 m

s = 21 ÷ 2 = 10.5

Then

A = [tex]\sqrt{10.5(10.5-7)(10.5-7)(10.5-7)}[/tex]

   = [tex]\sqrt{10.5(3.5)(3.5)(3.5)}[/tex]

   = [tex]\sqrt{450.1875}[/tex]

   ≈ 21.22 m² ( to 2 dec. places )

A car salesman claims that the variance of prices on convertibles is higher than the variance on station wagons. To test this claim, he selects random samples of each type of car, and records the prices. The standard deviation of 16 convertibles is $6800 and the standard deviation of 24 station wagons is $3900. For , what is the p-value? Group of answer choices

Answers

Answer:

Hence the critical value for the right-tailed test is [tex]F_{15,23,0.05}=2.1282[/tex]. Since the test value is greater than the critical value so we reject the null hypothesis.

Step-by-step explanation:  

Hypotheses are:

[tex]H_{0}:\sigma_{1}^{2}=\sigma_{2}^{2}\\H_{a}:\sigma_{1}^{2}>\sigma_{2}^{2}[/tex]

Here we have s_{1}=6800 and s_{2}=3900. Here we will use F -test. The Value of test statistics is  

[tex]F=\frac{s_{1}^{2}}{s_{2}^{2}}\\\\F=\frac{6800^{2}}{3900^{2}}\\\\F=3.0401[/tex]  

Here the degree of freedom of the numerator is [tex]df_{1}=n_{1}-1=16-1=15[/tex] and The degree of the denominator is

[tex]df_{2}=n_{2}-1 \\\\=24-1=23 .[/tex]

The critical value for the right-tailed test is [tex]F_{15,23,0.05}=2.1282[/tex]. Since the test value is greater than the critical value so we reject the null hypothesis.  

Answer:

Step-by-step explanation:

Why can't x^2+9 be factored? And is there a way to tell if a problem can be factored or not just by looking at it?

Answers

Answer:

There are no like terms

Step-by-step explanation:

×^2+9

=ײ+9

Stuck on this question need help

Answers

Answer:

4y4 the 1st one

may this help you

Also the same as the other problem

Answers

Answer:

30-60-90

Step-by-step explanation:

A 30-60-90 triangle is a right angled triangle

Please mark it as brainliest if it helped

Answered by Gauthmath

Answer:

A (30 - 60 - 90) right triangle has the side ratios: [tex]x, x\sqrt{3}, 2x[/tex].

Step-by-step explanation:

A right triangle with the angle measures (30 - 60 - 90) is often referred to as a special right triangle becaase its sides follow the following ratio,

The side;                                                          Angle it's opposite to;

[tex]x[/tex]                                                                        30

[tex]x\sqrt{3}[/tex]                                                                   60

[tex]2x[/tex]                                                                      90

Four thousand runners began the marathon. Eighty-nine percent of them completed the run. What percentage of the runner finished the marathon?

Answers

Answer:

3560 people.

Step-by-step explanation:

You have to do 89% × 4000.

Or 0.89×4000=3560.

So 3560 is the answer.

4,000 x .89 = 3,560 runners finished the marathon

Two numbers have a sum of 35 and an
LCM of 42. What are the two numbers?

HELP PLEASE <3

Answers

Answer:

14, 21

Step-by-step explanation:

LCM : least common multiplier.

x + y = 35

LCM = 42

means that there is a combination of 2 of the following divisors of 42 :

2, 3, 6, 7, 14, 21

so, which two of these numbers can create the sum of 35 ?

only 14 and 21

Which inequality is represented by this graph? ​

Answers

Answer:

x> 0

Step-by-step explanation:

There is an open circle at 0 so this means it is not equal to

The line goes to the right so x is greater than

x> 0

Evaluate the expression when b=4.
b^2-7b+3

Answers

Answer:

16-28+3 do it now ok!!!!!!

Answer:

If b=4,

b^2-7b+3

=4^2-7(4)+3

=16-28+3

=-9

Please help me solve this I’ve been trying all day it’s impossible for me

Answers

Answer:

36; 18; -35; 0

Step-by-step explanation:

They break even again when their profit is zero, i.e. at the x-intercept (36).

The worst case scenario is when their profit is the lowest, i.e. at the minimum vertex where they produce 18 items for a profit (in this case loss) of -35 dollars.

The first root tells us that the profit will be zero when zero products are produced.

What is the value of x?

Answers

Answer:

126

Step-by-step explanation:

Answer:

126°

Step-by-step explanation:

x = (87+165)/2

x = 252/2

x = 126

Answered by GAUTHMATH

The difference between interior angle in centesimal measurement and sexagesimal measurement is 15° of a regular polygon. Find the number of sides of the polygon.​

Answers

Answer:

8

Step-by-step explanation:

x = centesimal angle (100 degrees in a right angle)

y = sexagesimal angle (90 degrees in a right angle)

x - y = 15

x×90/100 = y

x×9/10 = y

x - x×9/10 = 15

10x/10 - 9x/10 = 15

x/10 = 15

x = 150

y = 150×9/10 = 15×9 = 135

using centesimal system :

the sum of all external angles in a polygon is 400 degrees (a full circle).

one external angle is the complement of one internal angle to 200 degrees = 200-150=50 degrees.

to find the number of sides of the polygon we need to find the number of angles or corners. and that is how many external angles fit into the full circle.

n = 400/50 = 8

the polygon has 8 sides

Here are the ages (in years) of 8 professors at a college.
61, 42, 61, 34, 49, 44, 36, 47
What is the percentage of these professors who are younger than 47?

Answers

Answer:

50%

Step-by-step explanation:

There are 8 professors. 4 of them are younger than 47 (not equal to 47, YOUNGER)

1. 42

2. 34

3. 44

4. 36

To find percentage we have to do 4/8 x 100

this equals to 50%

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