what does i^739 equal? explain how you found your answer.

Answers

Answer 1
Answer:   -i

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

Explanation:

i = sqrt(-1)

Lets list out the first few powers of i

i^0 = 1i^1 = ii^2 = -1i^3 = i*i^2 = i*(-1) = -ii^4 = (i^2)^2 = (-1)^2 = 1

By the time we reach the fourth power, we repeat the cycle over again (since i^0 is also equal to 1). The cycle is of length 4, which means we'll divide the exponent over 4 to find the remainder. Ignore the quotient. That remainder will determine if we go for i^0, i^1, i^2 or i^3.

For example, i^5 = i^1 because 5/4 leads to a remainder 1.

Another example: i^6 = i^2 since 6/4 = 1 remainder 2

Again, we only care about the remainder to find out which bin we land on.

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

Turning to the question your teacher gave you, we have,

739/4 = 184 remainder 3

So i^739 = i^3 = -i

-i is the final answer

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

Side notes:

if i^a = i^b, then a-b is a multiple of 4Recall that the divisibility by 4 trick involves looking at the last two digits of the number. So i^739 is identical to i^39.

Related Questions

solve 4x-y=-5 -2x+3y=10​

Answers

Answer:

(x,y) =(7/2,4)

(x,y) = (9/2,8) thats the answer

What time is four past eight at night

Answers

Answer:

8:04 pm

Step-by-step explanation:

Answer:

8:04

Step-by-step explanation:

8 o'clock and four minutes past 8 is 8:04.

If triangle ABC is reflected across the x-axis, what are the coordinates of point A’? (, )

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Answer: I don't really know because there is no picture of what coordinate A was before it was reflected across x-axis.

what is x and what is y?

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Step-by-step explanation:

i hope the illustrations are clear

FREE BRAINLESS THE FIRST PERSON WHO ANSWER THIS
leo spends $5 per week on music. write an equation that equation that determines the dollars spend D per week.
A. d=5w
b. d=5+w
c. w=5d
d. w=5+d

Answers

ANSWER: C

EXPLANATION

you’re multiply they amount of mint by the number of weeks

Hope this help :)

slopeeeeeeeeeee please help me someone no bots

Answers

Answer:

5) -2

6) 1

7) -4/3

8) I'm not sure for this one

9) 8

10) 9/5 i think

1)   A

2)   D or A

3)   C

4)   A

Step-by-step explanation:

Slope intercept form: y = mx + b, and m is the slope, and b is the y-intercept

someone help me asap

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Answer:

-9

Step-by-step explanation:

anish spend 1/5 of 4000 and Anil spend 1/3 of 4500.who spend more and by how much​

Answers

Answer:

Anil

Step-by-step explanation:

This is because 1/3 is greater then 1/5

Last week, Brenna's Ice Creamery sold 34 sundaes with nuts and 16 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts?

Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.

Answers

Answer:

17/8

Step-by-step explanation:

34/16 simplified is 17/8

Answer:

17/8

Step-by-step explanation:

wn won

34 16

34/16

factors of 34 and 16 are 2

34 / 2 = 17

16 / 2 = 8

simplified, 17/8

THE WHOLE THING ALL OF IT PLEASE I WILL MAKE U BRAINLIEST!!

Answers

Answer:

3x+8=17                                  2x+8=2(x+4)                         x+4=x-4

3x=17-8                                    2x+8=2x+8                          No solution

3x/3=9/3                                  All Real numbers

x= 3                                                

infinitely many solution

Q2) It means this equation  has no answer to it and no solution

Q3)  x+ 4=x-4 has no solution

Q4) It means that it has many answers to it and many steps to it to get the answer

Q5) By doing the answer for example 3x+9=17 it has many solutions and we can get the answer by

cos^-1(cos 43°)
PLEASE HELP ME

Answers

[tex] \: \: \: \: \: [/tex]

[tex] = \cos(1) \cos(43°) \\ \\ in \: \: alternate \: \: form \: \\ \\ = 0.395152[/tex]

Step-by-step explanation:

[tex] \cos( - 1) ( \cos(43°)) [/tex]

simplify the expression usiNg the symmetry of trigonometry

[tex]= \cos(1) \cos(43°) \\ \\ \\ or \: \: in \: \: alternate \: \: form \\ \\ = 0.395152[/tex]

hope it helps

[tex]\cos^{-1}(\cos 43^{\circ})=43^{\circ}\\\\\\\text{In radians,}~~ \dfrac{43\pi}{180}[/tex]

A business woman bought a stove for $1209.calculate the selling price of the stove if she made a profit of 11%. (B) the stove was damage in transporting it to the customer . determine the selling price of the stove if she incurred a loss of 8% on the cost price​

Answers

Answer: Look below

Step-by-step explanation:

10% = $120.90

1% = $12.09

11% = $132.99

$1,209 + $132.99 = $1,341.99

She made a $132.99 profit or $1,341.99

—————————————————————

8% = 96.72

$1,341.99 - $96.72 = $1245.27

————————————————

Or if it is $96.72 off the price she bought it then it would be

$1,209 - $96.72 = $1,112.28

The following angles are


Supplemnetary
Linear Pair
Adjacent
Vertical Angles

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

The shown pair of Angles are known as Adjacent Angles, because they have one Arm in common.

14. Complete the table below to represent y = 0.25x + 3.
Then draw a graph to represent the relationship between
the x and y-values.

Answers

Answer: 3 is the y intercept; so it will touch the y axis at 3, and 0.25 is the slope of the line

Step-by-step explanation:

go to desmos. com/calculator and put that equation, if you are having a hard time visualizing it.

can someone help me
question down below

Answers

Answer:

N||M, K||J

Step-by-step explanation:

N and M are both parallel to each other and || symbolizes that, same goes for K and J

what would the algebraic expression be for the product of 3 and x increased by 20

Answers

Answer:

3x + 20

Step-by-step explanation:

Product is for multiplication therefore, the product of 3 and x is 3x.

increased = addition

Overall, the product of 3 and x increased by 20 is 3x + 20.

4x+y=0 2x-y=-12 how many solutions does this problem have? No solution, one solution, or infinite solutions

Answers

Ok done. Thank to me :>

please help me!

ty :)

Answers

Answer:

slope: -4

Step-by-step explanation:

the formula to finding slope using two points is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

so insert the x- and y- values into the formula. you'll get:

[tex]m=\frac{-11-9}{3-(-2)}=\frac{-20}{5}=-4[/tex]

The rainfall recorded in a certain city is given below. Calculate the average rainfall. 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm and 4.34 cm.
if you answer then i will mark you brainliest!!!

Answers

Answer:

3.4 cm

Step-by-step explanation:

average is the sum of all the values then divided by the number of values.

The average rainfall for the given values is 3.40 cm while The rainfall recorded in a certain city.

The average rainfall can be calculated by adding up all the recorded rainfall values and then dividing the sum by the number of values.

Let's calculate the average rainfall for the given values: 2.54 cm, 1.75 cm, 3.05 cm, 5.00 cm, 3.72 cm, and 4.34 cm.

Step 1: Add up all the values: 2.54 cm + 1.75 cm + 3.05 cm + 5.00 cm + 3.72 cm + 4.34 cm = 20.40 cm

Step 2: Divide the sum by the number of values (which is 6 in this case): 20.40 cm / 6 = 3.40 cm

Therefore, the average rainfall for the given values is 3.40 cm.

To know more about average here

https://brainly.com/question/130657

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What is the domain of the equation shown in the graph?


Question options:

All real numbers
x= ≤ -1
x≥-1
x≤0

Answers

Answer:

All real numbers.

Step-by-step explanation:

The domain is the range of values of x.

The graph goes on without bounds to - infinity and positive infinity.

Isosceles & Equilateral Triangles

solve for x & then solve for y *

Answers

Hope it helps.

Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.

Please help me im begging you

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Answer:

i think its D but sorry if im wrong !! <3

Step-by-step explanation:

Answer: 6⅝ subtract 2½ or rewrite the equation as 6⅝ subtract 2 ⁴/8 same thing :)

Whole numbers: 6-2 = 4

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Step-by-step explanation:

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x - 9 = 1/4x + (1/4x + 12) +(1/4x - 3)

Answers

Answer:

x=72

Step-by-step explanation:

x-9=3/4 ⋅ x+9

1/4 ⋅ x -9=9

1/4⋅x=18

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What is the value of x?

A. 73°
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D. 68°

Answers

We have: 540° = 180° - x° + 180° - 52° + 93° + 180° - (x+3)° + 180° - 78°

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The answer is C. 70°

ok done. Thank to me :>

The quotient of triple a number less four and five equals two. What is the number?

Answers

Answer:

14/3

Step-by-step explanation:

The quotient of triple a number less four and five equals two. What is the number?

"triple a number" means 3x, if we say x is the "number"

"triple a number less four" means (3x-4)

"quotient of [triple a number less four] and five equals two." means

(3x-4)/5 = 2

3x-4 = 10

3x = 14

x = 14/3

===

Does ((14/3)3 - 4)/5 = 2 ???

(14 - 4)/5

10/5 = 2                         YES

What is the number?

Which of the following is equal to [(x2y3)-2/(x6y3x)2]3 ?

Answers

Answer:

a=√x3y5 or a=−√x3y5

Step-by-step explanation:

Answer:

A, B & D

Step-by-step explanation:

Just did it on Edge

The graph of y=f(x) is shown below. Find all values of x where f(x)=5

Answers

Answers:   -6 and -4

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

Explanation:

Refer to the drawing below. Locate 5 on the y axis. Draw a horizontal line extending as far as you can to the left and right.

This horizontal line crosses the parabola in two locations. From those two locations, drop a vertical line straight down until you reach the x axis. You should reach x = -4 and x = -6

This shows that f(-4) = 5 and f(-6) = 5.

Phrased another way: the points (-4,5) and (-6,5) are on the parabola.

find the slope of the line that passes through the pair of points (3,-5), (-4,1)

Answers

Answer:

-6/7

Step-by-step explanation:

y2 - y1 / x2 - x1

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Find the area of the shape shown below.

Answers

Answer:

28

Step-by-step explanation:

Find the recursive definition of the following sequence (Remember to define the first term t, the recursive rule to find tn,and the value n will start at) 120, 60, 20, 5, 1

Answers

Answer:

  t[1] = 120; t[n] = t[n-1]/n, n ≥ 2

Step-by-step explanation:

The first two terms have a ratio of 1/2. The next two terms have a ratio of 1/3. The terms after that have a ratio of 1/4. It seems that the divisor increases as n increases. In fact, the n-th term is the previous one divided by n.

The first term is 120, so ...

  t[1] = 120

Using the above-described rule, ...

  t[n] = t[n-1]/n . . . . for n ≥ 2

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