Use the example as a model. Simplify the expressions.
t^37 = ✔ i

t^82 = ✔ –1

Answers

Answer 1

Answer:

After , the sequence repeats itself

Divide 37/4 = 9 R 1. Now use the remainder and find which one of the values of i it matches.

so

Step-by-step explanation:

Answer 2

The expressions are simplified as;

i. t = ∛i

ii. t = 1

How to simply the expressions

From the information given, we have that;

Simplifying  [tex]t^3^7[/tex] = √i

When [tex]t^3^7[/tex]equals i (the imaginary unit), we can solve for "t" by taking the 37th root of both sides:

[tex]t^3^7 = i[/tex]

[tex]t = \sqrt[3]{i^3^7}[/tex]

[tex]t = i^(^3^7^/^3^)[/tex]

Since i^4 = 1 (i raised to the power of 4 is 1), we can simplify the exponent:

[tex]t = i^(^1^2 ^+ ^1^/^3^)[/tex]

[tex]t = i^1^2 ^* i^(^1^/^3^)[/tex]

Now, since[tex]i^1^2[/tex] = 1 and [tex]i^(^1^/^3^)[/tex] represents the cube root of i, we have:

t = 1 * ∛i

t = ∛i

Simplifying [tex]t^8^2[/tex] = √ –1:

Take the 82nd root of -1

[tex]t^8^2 = -1[/tex]

t = [tex]\sqrt{(-1)^8^2}[/tex]

t = √1

t = 1

Learn about complex numbers at: https://brainly.com/question/10662770

#SPJ3


Related Questions

the sales-tax rate in new york is 8 and 1/4%. how much city sales tax would be charged on a purchase of $428.86? what will be the total cost of the purchase

Answers

Answer:

$464.24095

Step-by-step explanation:

8 1/4% = NY sales-tax rate

8 1/4 % = .0825

428.86 x .0825 = 35.38095

428.86 + 35.38095 = $464.24095

Can the sides of a triangle have lengths 3, 3, and 9?​

Answers

Answer:

No, the sum of the lengths of ANY 2 sides must be greater than the lengths of this 3rd side.

Step-by-step explanation:

what is the domain of the fraction​

Answers

The domain is the set of all x-values in that table:

   { -6, -1, 0, 3}

or

  { x | x = -6, -1, 0, 3 }

If l is parallel to m find the value of X (x+72)=(3x)

Answers

Answer:

x = 27°

Step-by-step explanation:

Given the lines are parallel you have a pair of same-side interior angles and these angles = 180°

x + 72 + 3x = 180

4x + 72 = 180

4x = 108

x  = 108/4

x = 27°

The value of x will be 27 degree

The solution to the above problem

Given the lines are parallel you have a pair of same-side interior angles and these angles = 180°

x + 72 + 3x = 180

4x + 72 = 180

4x = 108

x  = 108/4

x = 27°

The value of x will be 27 degree

To learn more about the angles of parallel lines refer to:

https://brainly.com/question/24607467

Find the missing exponent. 7? x (75)4 = 734 Place only the missing exponnt value

Х

Answers

Answer:14

Step-by-step explanation:took the test

a total of 600 books were labelled A,B,C and D.Given that 1/4 of the book is labelled A and 3/10 of the book is labelled B.There are 15 books labelled C.Calculate the number of books labelled D.​

Answers

Answer:

255 is the answer........

Quis
bentuk akar dari
[tex] \sqrt{18} + \sqrt{32} - 3 \sqrt{8} = [/tex]

Answers

Answer:

[tex]\sqrt{18} + \sqrt{32} - 3 \sqrt{8} = \\ = \sqrt{9 \times 2} + \sqrt{16 \times 2} - 3 \sqrt{4 \times 2} \\ =3 \sqrt{2} + 4 \sqrt{2} - 3 \times 2 \sqrt{2} \\ = 3 + 4 - 6 \sqrt{2} \\ = 7 - 6 \sqrt{2} \\ = 1 \sqrt{2} [/tex]

Semoga membantu

Answer:

[tex]\sqrt{18} + \sqrt{32} - 3 \sqrt{8} = 1 \sqrt{2} [/tex]

Which of the following represents the area of a rectangle whose length is x − 6 and whose width is x − 8? (1 point)

x2− 14x − 48
x2+ 48
x2− 48
x2− 14x + 48

Answers

Answer:

x²-14x+48

Step-by-step explanation:

Area= Length × Width

Area= x-6 × x-8

Area= (x-6)(x-8)

Area= x²-8x-6x+48

Area= x²-14x+48

Hope this helped you- have a good day bro cya)

2|x/2+3|=1, solve for x, there is two answers.

please help asap I will give brainiest

Answers

Answer: -5 and -7

Step-by-step explanation:

|[tex]\frac{x}{2}[/tex]+3| = [tex]\frac{1}{2}[/tex]

It has 2 cases

the first case ;

[tex]\frac{x}{2}[/tex] + 3 = [tex]\frac{1}{2}[/tex]

[tex]\frac{x}{2}[/tex] = [tex]\frac{-5}{2}[/tex]

x = -5

the second case;

[tex]\frac{x}{2}[/tex] + 3 = [tex]\frac{-1}{2}[/tex]

[tex]\frac{x}{2}[/tex] = [tex]\frac{-7}{2}[/tex]

x = -7

please give me a brainliest answer

by-m=ay+n solve for y

Answers

Answer:

move all terms to the left side and set equal to zero. Then set each factor equal to zero.

[tex]y= n + m/ b-a[/tex]

Step-by-step explanation:

what is the equivalent value
1/2×6

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

what is the equivalent value

1/2×6?

1/2 * 6 =

3

What happens when an electrically charged pencil is placed close to water running from a faucet?

The pencil attracts the water.
The pencil becomes positively charged.
The water attracts the pencil.
The water repels the pencil.

Answers

The pencil attracts the water

how do I solve mn + 9 when m= 5 and n= 3 do I multiply?

Answers

Answer:

yes u would multiply

Step-by-step explanation:

May I please receive help?

Answers

Answer:

The answer is in the included image

0.297 x 7.1 = 297 + 20790 / 21.087 is it true or false

Answers

Hey there!

0.297 * 7.1 = 297 + 20,790/21.087

Well….

0.297 * 7.1

= 2.1087

297 + 20,790/21.087

= 2.97 + 985.915493

= 1282.915493

2.1087 ≠ 1282.915493

Thus, your answer is false

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

3x-5y-7=0
X=2k-1.
Y=k

Answers

Answer:

x = 19

y = 10

Step-by-step explanation:

3x - 5y - 7 = 0

x = 2k - 1

y = k

3x - 5y = 7

x = 2y - 1

3 * (2y - 1) - 5y = 7

6y - 3 - 5y = 7

6y - 5y = 10

y = 10

x = 2 * 10 - 1

x = 19

let a,b,c be the three rational numbers where a = 2/3 , n = 4/5 and c = -5/6
verify
(i) a+(b+c)=(a+b) +c ( associative property of addition )
(ii) a×(b×c)=(a×b)×c ( associative property of multiplication ​

Answers

here associative property of addition proved.

Step-by-step explanation:

I)

substitute value of a , b and c

do little simplification and

you will come up with solutions

Answer:

Hello How are you

Step-by-step explanation:

a,b,c be the three rational numbers where a = 2/3 , n = 4/5 and c = -5/6

verify

(i) a+(b+c)=(a+b) +c ( associative property of addition )

(ii) a×(b×c)=(a×b)×c ( associative property of multiplication

I don't know this ans

Josie used 1/2 of the milk for pancakes this morning. If her brother and sister divided what was left to eat cookies with their movie, what fraction of the milk did each drink?

Answers

Answer:

1/4 cup of milk

Step-by-step explanation:

= 1/2 ÷ 2

= 1/2 × 1/2

= 1/4

find gcf

16x^2 -16+3

Answers

Answer:

13

Step-by-step explanation:

Step 1 to find gcf of  16x^2 -16+3  is factor out  the equation = (4x)^2  -13   =  (4x+13)(4x-13) So we factor to show one - and one + and then step 2 we then divide 4/4  -13/4 and 4/4 13/4  and cancel out 4/4 and see what we are left with =  x>+ - 13/4  = 3  1/4    we can now find gcf by working out 16x^2 = 16(3 1/4)^2 = 16(10.5625) = 169  and  the gcf of 169 and +- 13  =  13

the ratio of x and 5 minus 12
(turn this into a problem)

Answers

then is it.........!!!?

5x-12

helppppppppppppppppppppppppppppppppppppppppppp sorry for that

Answers

Answer:

a)2 * 2 = 4

b)2 * 3/2 = 3

c) 20 * 3/2 = 30

d) 100 * 8/5 = 160

e)473*1/100=4.73

f)111*1/100=1.11

Answer:

answers are written

Step-by-step explanation:

2xx671.0

What is the expression after applying the distributive property?

−35(−4+(−6))

Please help me!!!!!

Answers

Iorididhsjsisisisdiuddudusjshhssh

Answer:

The answer is 350. The expression after the distributive property is 140 + 210.

Step-by-step explanation:

-35( -4 + (-6))

Distributive property is

ex.

a( b +/- c) = ab + ac

So,

-35( -4 + (-6))

= 140 + 210     (a negative times a negative is a positive ( - ) x ( - ) = ( + )

= 350

MARKING BRAINLEIST IF YOU ARE RIGHT!!

Answers

Answer:  1 1/14

Step-by-step explanation: sorry if im wrong

Can i get a step by step for this?

Answers

Answer:

x=86

Step-by-step explanation:

The angles of a triangle add up to 180 degrees.

we can use this to get a problem: x+52+42=180

simplify to get:

x+94=180

subtract 94 from each side to get your answer:

x=86

-7 + - 20 please help me i really don't understand

Answers

Answer:

-27

Step-by-step explanation:

-7 + - 20

let's not forget that a + and a - is equal to a - therefore all the question really says is ...

-7-20

which is now easier to do and is equal to

= -27

Hope this helped you, have a good day bro cya)

by which rules are these triangles congruent?

A. AAS
B. ASA
C. SAS
D. SSS

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The criteria used to prove the given triangles congruent is :

AAS

Over 4 days, Krista deposited $45 into her bank account, transferred $30 1 point
to a friend, deposited $59, and withdrew $18. What was the mean change
per day to Krista's account in dollars during that week? *

Answers

So $59 is $18 I only got $20 dollars and 25 cents so what is that

Even more picrews of mine............... THIS IS THE LAST ONE I WILL MAKE K? (not to be mean)

i have a lot of picrew

Answers

Answer:

Honestly you should enter the art show or something in your city/country

Step-by-step explanation:

It is good.


The difference of half
of a number and three
is equivalent to
negative
five.

Answers

3/2=3-5

Step-by-step explanation:

jdjdnsnsnsmanzna

x-2y=-8 slope intercept form
need it asap plz

Answers

Answer:

y = 1/2x + 4

Step-by-step explanation:

hope this helps

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