Why does i^3= -i
I know i is square root -1 but I don't know how i^3= -i

Answers

Answer 1

Answer:

i³ = -i

Step-by-step explanation:

i³ can be rewritten as i² · i

i² = -1

-1 · i = -i

Hope this helps!


Related Questions

Given m
|| n, find the value of x and y.

Answers

Answer:

55 degrees

Step-by-step explanation:

well, x is on the same line as 125, and a line is always a straight 180 degrees, so you subtract 180-125=55, and angle x and angle y are corrisponding angles, so y also equals 55 degrees.

hope that helps!

Gabriel has these bags of chips in his kitchen cabinet.
• 3 bags of Takis
• 2 bags of Doritos Cool Ranch
• 2 bags of Hot Cheetos
• 2 bags of Funyuns
• 1 bag of Ruffles
Gabriel will randomly choose one bag of chips. Then he will put it back and randomly
choose another bag of chips. What is the probability that he will choose a bag of
Funyuns and then a bag of Hot Cheetos?
The probability that he will choose a bag of Funyuns and then a bag of Hot Cheetos is
end
.:
1
25
::
:
42

Answers

Answer:

The answer for the first part is 2/5

Step-by-step explanation:

Because if you add the total number of bags it equals 10 and then you do 2/10 because if 2 bags of funyuns and another 2/10 because its 2 bags of hot cheetos so 2/10+2/10=4/10 and simplified it is 2/5

PLEASE MARK AS BRAINLIEST

please someone do number 9

Answers

Answer:

2 4/5 kg.

Step-by-step explanation:

Multiply 7/2 (3 1/2) by 4/5

2-root3/root3. Rationalize the following equation

Answers

Answer:

-1/3

Step-by-step explanation:

Multiply by root 3 on the top and bottom. Root 3 times root 3 is 3. 2-3 is -1.

The hypotenuse of a right triangle measures 4 cm and one of its legs measures 3 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.

What is the Pythagorean Theorem?

In a right triangle, where the lengths of its two legs are a and b, and the hypotenuse length is c, the Pythagorean theorem states that: c² = a² + b².

Given the following parameters of the right triangle:

c = 4 cma = 3 cmb = ? (other leg)

Apply the Pythagorean theorem:

b = √(4² - 3²)

b = 2.6 cm (nearest tenth)

Thus, applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.

Learn more about Pythagorean theorem on:

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Diego works at a carwash and makes $11 per hour. If he works 9 hours of overtime in a week, how much overtime would he earn? Consider that overtime is paid at time-and-a-half of his regular rate. 158.40 130.00 150.40 148.50​

Answers

Answer: Total Hours

Regular Rate = $11.25 / hour

Overtime Rate = $16.88 / hour

Double Time Rate = $22.50 / hour

Step-by-step explanation:

Triangle JKL has vertices J(-4, 4), K(-1, 3), and
L(-2, 1). Graph the figure and its rotated image after a
clockwise rotation of 90° about the origin. Then give the
coordinates of the vertices for triangle J'K'L'.
K
o




NO LINKS

Answers

Answer:

J(0,6)

K(-1,3)

L(-3,4)

Step-by-step explanation:

Jermaine plots the points (0, 0) and (4, 11) on a graph to represent a proportional relationship. Which of the following equations represents the relationship between the x and y-values?

Answers

The proportional relationship between (0,0) and (4,11) represents a direct variation

The equation that represents the graph is  y = 11x/4

How to determine the equation of the graph?

The points on the graph are given as:

(x,y) = (0,0) and (4,11)

The equation of the graph is then calculated using:

y = (y₁/x₁) * x

This gives

y = (11/4) * x

Evaluate

y = 11x/4

Hence, the equation that represents the graph is  y = 11x/4

Read more about proportional relationships at:

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You deposit $2500 into an account that pays
3.5% annual interest compounded daily. How long will it take for the
balance to reach $3000

Answers

now, this is assuming there are 365 days in 1 year, so

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$3000\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, thus 365} \end{array}\dotfill &365\\ t=years \end{cases}[/tex]

[tex]3000=2500\left(1+\frac{0.035}{365}\right)^{365\cdot t}\implies \cfrac{3000}{2500}=\left(1+\frac{0.035}{365}\right)^{365t} \\\\\\ \cfrac{6}{5}=\left(1+\frac{0.035}{365}\right)^{365t}\implies \cfrac{6}{5}=\left(\cfrac{73007}{73000}\right)^{365t}[/tex]

[tex]\log\left( \cfrac{6}{5} \right)=\log\left[ \left(\cfrac{73007}{73000}\right)^{365t} \right]\implies \log\left( \cfrac{6}{5} \right)=t\log\left[ \left(\cfrac{73007}{73000}\right)^{365} \right] \\\\\\ \cfrac{~~ \log\left( \frac{6}{5} \right)~~}{\log\left[ \left(\frac{73007}{73000}\right)^{365} \right]}=t\implies 5.21\approx t\qquad \textit{about 5 years, 2 months and a half}[/tex]

on the same coordinate plane mark all points (x y) that satisfy the rule y=3x-2 SHOW GRAPH

Answers

The equation y = 3x - 2 is a linear equation

Points (0,2), (1,1) and (2,4) are on the line y = 3x - 2

How to determine the points?

The rule is given as:

y = 3x - 2

Set x = 0

y = 3(0)- 2 = -2

Set x =1

y = 3(1)- 2 = 1

Set x = 2

y = 3(2)- 2 = 4

The above means that (0,2), (1,1) and (2,4) are on the line y = 3x - 2

See attachment for the graph of the line y = 3x - 2

Read more about linear equations at:

https://brainly.com/question/1884491

Find the distance between the points.

Answers

Answer:

8

Step-by-step explanation:

Answer:

it will be 8

Step-by-step explanation:

The sum of my digits is 14 and I am odd. I am less than 3/5 of 160. I am greater than 104 - 12 x 4 + 23.​

Answers

Answer:

95 assuming this is one number

Step-by-step explanation:

3/5 of 160 is 96

04 - 12 x 4 + 23 is 79

it is greater than 79 and less than 96

79 < x < 96

now find numbers between these 2 numbers that have digits adding to 14.

8+6 and 9+5

The problem included that the number must be odd and so the answer is 95

Which statement about the graph of y = 1/4(2/3)^x is true?

The graph crosses the y-axis at (0, 1/6)

The graph decreases from left to right.

The graph includes point (1, 1/4)

The graph has an asymptote at y = 1/4

Answers

Answer:

The graph decreases from left to right.

Step-by-step explanation:

Find the slope of the line that is parallel and perpendicular to the following equation.
-4x - 4y = 16

Answers

Answer:

Slope of the line that is parallel: -1

Slope of the line that is perpendicular: 1

Step-by-step explanation:

For the parallel line:

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

m = slopeb = y-intercept (when x = 0)

-4x - 4y = 16 <== add 4x to both sides

+4x         +4x

-4y = 4x + 16 <== divide both sides by -4

/-4      /-4

y = -x - 4

The slope of the line that is parallel to this line is -1 (invisible 1 in front of x).

For the perpendicular line:

*Perpendicular lines have negative reciprocals*

Steps:

1. Take your original slope (-1)

2. Flip it (-1/1)

3. Change the sign (1)

For a slope of -1, the reciprocal would be: 1

Hope this helps!

-4x-4y=16

Convert to y=mx+b form

-4y=4x+16y=-x-4

Slope:-

m=-1

Parallel lines have equal slope

Perpendicular line's slope=1

Hello everyone i need help with the following question?

If x=3 and y=67

what is 6x × 8y + 27x - 6y + 3= ​

Answers

Answer:

9330

Step-by-step explanation:

6x × 8y + 27x - 6y + 3 = 18 × 536 + 81 - 402 + 3 =

9330

Answer:

The answer is 9330

Hope it helps

✧GHOSTOFSPARTA✧

What are the domain, range, and asymptote of h(x) = (1.4)x + 5?

domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5
domain: {x | x > 5}; range: {y | y is a real number}; asymptote: y = 5
domain: {x | x > –5}; range: {y | y is a real number}; asymptote: y = –5
domain: {x | x is a real number}; range: {y | y > –5}; asymptote: y = –5

Answers

Answer:

The answer is

A.) Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5

Step-by-step explanation:

For every real x, (1.4)x is always positive, therefore the range would be y > 0, but (1.4)x + 5 adds 5 to every integer in the original range. This suggests that the real range is y | y > 5, or all positive values bigger than 5.

This is the sole choice for the range that A has, therefore, it should. (The other two characteristics hold true, as can be any real integer and lim h(x) = 5 x, implying that y = 5 is a horizontal asymptote of h(x).)

Therefore, A.) Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5 is your answer.

Hope this helped! :^)

⭐Brainliest will be appreciated!⭐

✉️Message me if you have any more questions!✉️

- ✨7272033Alt

Submitted on 4/20/2022 at 1:37 PM

(To avoid plagarism, by users whom decide to copy.)

Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5. Option A is correct.

The given function is [tex]h(x)=1.4^x+5[/tex].

The domain of a function is the set of all valid inputs (x-values) for which the function is defined.

In this case, there are no restrictions on the base (1.4) raised to any real exponent, and thus, the domain includes all real numbers.

Therefore, Domain: {x | x is a real number}

The range of a function is the set of all possible output (y-values) that the function can produce.

In this case, the base (1.4) raised to any real exponent will always be positive, and when you add 5 to a positive number, you get values greater than 5.

Hence, the range consists of all real numbers greater than 5.

Therefore, Range: {y | y > 5}.

An asymptote is a line that a function approaches but never crosses.

For this exponential function, there are no vertical asymptotes since it is defined for all real numbers.

However, there is a horizontal asymptote. As the value of x approaches negative or positive infinity, the function h(x) will approach 5.

Therefore, Asymptote is y = 5.

Hence, option A is correct, domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ5

*PUZZLE*
Rules:
1: Put the number in the circle such that the sum of each line should be the same.
2: All numbers must be used.
3: All numbers use once

Numbers: 1, 2, 3, 4, 5, 7, 8, 9
Hint: The answer should be between
15- 25

Answers

Answer:

Step-by-step explanation:

need help please will mark branliest

whats the perimeter of triangle

side is x+1
side is x+1
base is 2x+2

2.whats the perimeter of rectangle

length is x
width is x+3

Answers

Triangle - 4x+3
Rectangle is 4x+6
To get perimeter of some thyroid add all the sides together
The answers are
Perimeter of triangle:6x+6
Perimeter of rectangle:4x+6

Factor 64r^2 −9s^2 ANSWER ASAP I WILL GIVE BRAINLEST

.

Answers

(8r+3s)(8r-3s) dont have working but noticed that it is the difference of two squares

WHOEVER HELPS ME WITH THESE 4 QUESTIONS WILL GET 60 POINTS AND RIGHT AWNSERS I WILL RATE U BRAINLIEST thank u so much and pls hurry up i only have 7 min left! ( pls good explanation)

Answers

34) to get 16 points he will have to answer 5 questions
35) to get 128 points answer 8 questions
36) 256 points: 9 questions
37) 512 points: 10 questions

Answer:

34)  5 questions

35)  8 questions

36)  9 questions

37)  10 questions

Step-by-step explanation:

We could create an exponential function for this scenario, but it is quicker and easier to simply list the potential scores.

We are told that the initial score is 1.

We are told that the the score doubles each time.

Therefore, the scores in sequence are:  
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024 ... etc.

34)  16 is the 5th term in the sequence, so 5 questions

35)  128 is the 8th term in the sequence, so 8 questions

36)  256 is the 9th term in the sequence, so 9 questions

37)  512 is the 10th term in the sequence, so 10 questions

A cereal box has a height of 32 centimeters. It has a base with an area of 160 square centimeters.
What is the volume, In cubic centimeters, of the cereal box?

Answers

Answer:

You would multiply 160 by 32 and get an answer of 5120 centimeters cubed.

Step-by-step explanation:You would multiply 160 by 32 and get an answer of 5120 centimeters cubed.

The triangle circumscribes the circle. What is the perimeter of the triangle?

Answers

Answer:

P = 72 ft

Step-by-step explanation:

the perimeter P is the sum of the 3 sides.

Tangents to a circle from an external point are congruent , then

side 24 = 15 + 9

side 21 = 9 + 12

Third side = 12 + 15 = 27 ft

P = 24 + 21 + 27 = 72 ft

Can anyone help me with this problem?

Answers

Answer:

C

Step-by-step explanation:

pls tell me if im wrong

please help me answer this

Answers

Answer:

1,080

Step-by-step explanation:

Multiply the different amounts of customizations to get all the possibilities 3 sizes × 4 choices of crust is 12 possibilities,
12 possibilities × 3 choices of sauce is 36 possibilities,
36 possibilities × 3 choices of cheese is 108 possibilities,
108 possibilities × 10 different toppings is 1,080 possibilities.    

Please help me with this please and thank you

Answers

Answer:

#3 is 100

#2 is west

#1 is 80

Step-by-step explanation:

If mMVUW=(4x+6)° and mWUT=(6x+10)°, what is the measure of WUT

Answers

As ray UW bisects ( divides the angles into two equal parts )

WUT = WUV

6x - 10° = 4x + 6°

6x - 4x = 6° + 10°

2x = 16°

x = 16° ÷ 2 = 8°

Putting the value of x in the Angle WUT

6 × 8° - 10° = 48° - 10° = 38°

Which inequality does this graph show? LOOK AR PIC PLS ANSWER FAST

Answers

Answer:

D.

Step-by-step explanation:

1) if the points (1;-1) and (4;0) belong to the line, then

2) the equation of this line is 3y-x=-4;

3) the inequality is 3y-x≤-4.

A stadium can seat `16000` people at full capacity.if there are `13920` people in the stadium, what percent of the stadium is full?

Answers

Answer:

87%

Step-by-step explanation:

13920/16000=0.87=87%

Which equation represents the line shown in the graph below

Answers

Answer:

b: y = 2x + 5

Step-by-step explanation:

you can find this out by first looking at what the slope is

the slope is rise over run which is 2

then you can see that the y intercept is 5

y = 2x + 5

The triangle on the right is a scaled copy of the triangle on the left. Identify the scale
factor. Express your answer as a whole number or fraction in simplest form.
5
15/2
15/2

Answers

7 and 1/2 in simplest form.
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