Simplify the power of i.
i78
A -1
B -i
C 1
D i

Answers

Answer 1

[tex]\\ \rm\longmapsto i^{78}[/tex]

Divide 78 by 4

[tex]\\ \rm\longmapsto \dfrac{78}{4}[/tex]

[tex]\\ \rm\longmapsto \dfrac{39}{2}[/tex]

[tex]\\ \rm\longmapsto 19\dfrac{1}{2}[/tex]

Now

remainder is 2

[tex]\\ \rm\longmapsto i^2[/tex]

[tex]\\ \rm\longmapsto (\sqrt{-1})^2[/tex]

[tex]\\ \rm\longmapsto -1[/tex]

Hence

[tex]\\ \rm\longmapsto i^{78}=-1[/tex]


Related Questions

5.6 write each decimal as a fraction or a mixed number

Answers

Answer:

28/5

plsss mark me brainliestt

Step-by-step explanation:

5.6=56/10

28/5

Please help

Solve the equation.
Give your simplified answer as an improper fraction.
7(x + 1) = 1 – 2(5 – x)
? ]
W

Answers

Answer:

-16/5

Step-by-step explanation:

7(x+1)=1-2(5-x)

7x+7=1-10+2x

7x-2x=1-10-7

5x = -16

x = -16/5

Answer: [tex]\huge {x = -\frac{16}{5} }[/tex]

Step-by-step explanation:

Given equation

7 (x + 1) = 1 - 2 (5 - x)

Expand parentheses and apply the distributive property

7x + 7 = 1 - 10 + 2x

Combine like terms

7x + 7 = -9 + 2x

Subtract 2x on both sides

7x + 7 - 2x = -9 + 2x - 2x

5x + 7 = -9

Subtract 7 on both sides

5x + 7 - 7 = -9 - 7

5x = -16

Divide 5 on both sides

5x / 5 = -16 / 5

[tex]\boxed{x=-\frac{16}{5} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

could someone pleaseeeeee help

Answers

whyyyyyyyyyyyyyyyyyy

whyyyyyyy

You’re help Is greatly appreciated!! I will mark BRAINLIEST as well

Answers

Answer:

1. -4/7

2. 4/3

3. x^2 + 16x + 63

4. x^2 + 19x + 90

Step-by-step explanation:

1. (1, 8) and (8, 4)

slope = m = (8 - 4)/(1 - 8) = -4/7

2. (2, 4) and (5, 8)

slope = m = (8 - 4)/(5 - 2) = 4/3

3. (x + 9)(x + 7) =

= x^2 + 7x + 9x + 63

= x^2 + 16x + 63

4. (x + 10)(x + 9) =

= x^2 + 9x + 10x + 90

= x^2 + 19x + 90

A straw is placed inside a rectangular box that is 6 inches by 8 inches by 5 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in the simplest radical form.

Answers

Here you I also tried to help someone that needed the same help!

What is the measure of 2x?

Answers

Answer:

130 °

....................

Hi! I'm happy to help!

To solve this, we need to first solve for x.

The total of all the interior angles in a quadrilateral (closed, not curved, shape with 4 sides) is 360°. So, we can single out the xs by subtracting the other angles.

360-89

271

271-76

195

Now that we know that, without the other two angles, the quadrilateral is worth 195. The only 2 angles left have x in them. Since there are 3 xs, we can use this to find out our x.

3x=195

Now, divide both sides by 3.

x=65

Now that we have the value of x, the measure of 2x will just be double that.

65×2

130

The measure of 2x is 130°

I hope this was helpful, keep learning! :D

calculate the amount that would remain in an investment account after 3 years if you were to deposit 1500 every month starting today but would withdraw 750 at the end of every 12 month period. interest is 14% compounded monthly​

Answers

Answer:

58995

Step-by-step explanation:

How do you determine if the numbers are positive or negative?

Answers

Answer:

Positive integers have values greater than zero.

Negative integers have values less than zero.

Zero is neither positive nor negative.

Step-by-step explanation:

Answer: if they have got - before them or if the say negative

Step-by-step explanation:

uhhhhh help lol find angle

Answers

Answer:

129°

Step-by-step explanation:

51+51 =102

360-102=258

258÷2=129

:)

Which of the following correctly uses exponents to write "6 factors of 2"?
26
6.2
12
62

Answers

Answer:

A. 26

Step-by-step explanation:

The base number (the first number) is what will be multiplied and the exponent is how many times you're multiplying the number, so for this it would be

2 x 2 x 2 x 2 x 2 x 2

Help mee plsssssssdds​

Answers

Answer:

No Inez is not correct.

Step-by-step explanation:

[tex]\frac{1}{3} > \frac{1}{5}[/tex] (1/3 is greater than 1/5)

A: What is the perimeter of HOUSE?

perimeter of HOUSE =


(round to the nearest hundredth - two decimal places)


B: What is the length of OH?

(round to the nearest thousandth - three decimal places)


C: What is the midpoint of OU?


D: Which is longer, OH or EH?


E: What is the perimeter of the triangle HOU?


perimeter of triangle HOU


(round to the nearest hundredth - two decimal points)

Answers

First calculate distances or lengths(Refer to attachment)

A:-

[tex]\\ \sf\longmapsto Perimeter=Sum\:of\:sides[/tex]

[tex]\\ \sf\longmapsto 5.3+9+11+9+9.7[/tex]

[tex]\\ \sf\longmapsto 15+29[/tex]

[tex]\\ \sf\longmapsto 44[/tex]

B:-

Refer to the attchment

C:-

[tex]\\ \sf\longmapsto \left(\dfrac{1+4}{2},\dfrac{1+6}{2}\right)[/tex]

[tex]\\ \sf\longmapsto \left(\dfrac{5}{2},\dfrac{7}{2}\right)[/tex]

D:-

EH>OH

E:-

[tex]\\ \sf\longmapsto Perimeter[/tex]

[tex]\\ \sf\longmapsto 9.7+5.3+9[/tex]

[tex]\\ \sf\longmapsto 24[/tex]

For what values of k will the equation 4x² + 8x + k = 0 have two real solutions?

Answers

Answer:

k < 4

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

Then the discriminant Δ = b² - 4ac informs us about the nature of the solutions.

• If b² - 4ac > 0 then 2 real and distinct solutions

• If b² - 4ac = 0 then 1 real and repeated solution

• If b² - 4ac < 0 then no real solutions

4x² + 8x + k = 0 ← is in standard form

with a = 4, b = 8 , c = k , then

b² - 4ac = 8² - (4 × 4 × k) = 64 - 16k

For two real solutions

64 - 16k > 0 ( subtract 64 from both sides )

- 16k > - 64

Divide both sides by - 16, reversing the symbol as a result of dividing by a negative quantity.

k < 4

Then any value less than 4 will ensure the equation has two real solutions

Can someone pls help me pls ​

Answers

Answer:

your fractions will go in order of 1/4, 2/5, 5/8, 4/6

Step-by-step explanation:

a. 2/5 < 1/2 and 4/6 > 1/2 so 2/5 < 4/6

b. 5/8 > 1/2 and 1/4 < 1/2 so 5/8 > 1/4

c. 4/6 > 1/2 and 4/6 < 2/2 and 5/8 > 1/2 and 5/8 < 2/2 and 5/8  ?? cannot see this

Perimeter cm, area square cm

Answers

Step-by-step explanation:

[tex]perimeter = 2(l + b) = \\ 2(15 + 8) = 2(23) = 46cm \\ area = lb \\ 15 \times 8 = 120 {cm}^{2} \\ thank \: you[/tex]

15 multiple 8= 120120 multiple 128 = 15,360 cm

Your ans is 15,360cm Hope it helps you my friendGood morning

Nora has a flower arrangement with 7 pink flowers, 9 purple
flowers, and 5 white flowers. Which sentence is not true?

The ratio of total flowers to pink flowers is 21: 7

The ratio of white
flowers to purple flowers is 5:9.

The ratio of purple flowers to total flowers is 16 to 21.

Answers

Answer:

The ratio of purple flowers to total flowers is 16 to 21 is NOT TRUE because your total is already 21 so it would make no sense for 16 to be in the ratio

Assume that when adults with smartphones are randomly selected , 44% use them in meetings or classes. If 8 adult smartphone users are randomly selected , find the probability that exactly 3 of them use their smartphone in meetings or classes

Answers

Answer:

you just answered your own question


[tex] {x}^{4} - 16 = [/tex]
What is the answer and steps ​

Answers

Answer:

[tex](x - 2) \times (x + 2) \times ( {x}^{2} + 4)[/tex]

Step-by-step explanation:

[tex] {x}^{4} - 16[/tex]

➡️ [tex] {x}^{2 \times 2} - 16[/tex]

➡️ [tex] {x}^{2 \times 2} - {4}^{2} [/tex]

➡️ [tex]( {x}^{2} {)}^{2} - {4}^{2} [/tex]

➡️ [tex]( {x}^{2} - 4) \times ( {x}^{2} + 4)[/tex]

➡️ [tex](x - 2) \times (x + 2) \times ( {x}^{2} + 4)[/tex]

Translate into a variable expression. y decreased by 30

Answers

Answer:

y-30

Step-by-step explanation:

If y is decreased by 30, then you are saying y-30.

Hello I need help in my math

12: {x,y,z} ? {a,b,c} is it equal or not?

13: {0} ? { } equal or not?

Please help no spam no links I need help mark brainliest!!

Answers

12: Equal, because the cardinal number of {x,y,z} are same as {a,b,c}, that is, 3.

13: Not equal, because in set {0}, there is one element , while in set { } , there are no elements at all .

Hope it helps you. Have a nice day!

(by Benjemin)

Write the complete answer on each line


1. If a is a subset to B and B is the subset of A, what Else is true about sets A and B


2. List all of the the subsets of {a,b,c}


3. How many subsets are there of {a,b,c,d,e,f}

Answers

Answer:

Step-by-step explanation:

1. If A is a subset of B and B is a subset of A then A and B must be equal.

2. The subsets of {a,b,c} are

{ } (emptyset}, {a}, {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c}

3} Since {a,b,c,d,e,f} has 6 elements then there are [tex]2^6[/tex] subsets.

What is 48% of 159 express your answer rounded correctly to one decimal place

Answers

Answer:

.48 * 159 = 76.32

Step-by-step explanation:

Step 1: Make the percent into a decimal
48%
=0.48

Step 2: multiply to find the percent
0.48*159=76.32

So 48% of 159 is 76.32

Step 3: Round to the nearest tenth (assuming the one decimal place means tenth place)

76.32
=76.3

y link
MIT
MULTIPLE CHOICE QUESTION
Is the following statement, True or False?
lf this same substance were cooling, the
freezing point, or moment when the
substance begins to freeze would happen
at 25 degrees Celsius.

Answers

Answer:

False False False because freezing point is 100 degree celsius

Thajus earned $19 babysitting on Saturday and $8 babysitting on Sunday. By how much did his earnings on
Saturday exceed his earnings on Sunday?
O $1
O $11
O $27
O $30

Answers

Answer:

11

Step-by-step explanation:

exceed mean how much and the question is asking how much did he get more so yust 19 -8=11

11 because you have 19 and 8 for babysitting

What is the LCM for 18,24

Answers

Answer:

I think the LCM is 72 for 18 and 24

Answer:

hope it helps you........

It took Emma 3/4 hour to rake the leaves. It took her 1/5 hour more to
weed the garden than it took to rake the leaves. It took her 0.2 hour
more to mow the lawn than it took to weed the garden. Discuss a
strategy you can use to find the answer. Then determine how long it
took her to do all three chores.

Answers

9514 1404 393

Answer:

  total: 2.85 hours = 2 17/20 hours

Step-by-step explanation:

Strategy: convert all fractions to decimals, determine weeding and mowing times, and add the three times to find the total.

  3/4 = 0.75

  1/5 = 0.2

Solution:

raking time: 0.75 hours

weeding time: 0.75 +0.2 = 0.95 hours

mowing time: 0.95 +0.2 = 1.15 hours

__

Total time: 0.75 +0.95 +1.15 = 2.85 hours = 2 17/20 hours

_____

Additional comment

You may recognize that 0.95 is the middle of three equally-spaced values. Then the total will be 3×0.95 = 2.85 hours.

Write a function rulle

Answers

Hey, there! Based on the table from the picture, every hour increased is $6 increased for the cost of the rental.

First hour: $10

Second hour: $16

Third hour: $22

Fourth hour: $28

So, final answer is:

+1 hour=+$6.

Anyways, I hope this helps! Enjoy your day! Take care!

The perimeter of a triangle is 143cm, The sides are x-6, x-6, and 25. Find the length of each side of the triangle

Answers

Answer:

12

Step-by-step explanation:

SOLUTION:  

In a right triangle, the sum of the squares of the

lengths of the legs is equal to the square of the length

of the hypotenuse. The length of the hypotenuse is 13

and the lengths of the legs are 5 and x.  

5 1/6•(-2/5)=
Answer as a fraction

Answers

-31/15 is the correct answer

Reading - Word - Level 1
Vocabulary
Page 21
*
Safety is the number one priority at our trampoline parks.
That's why every session is supervised by our trained staff.
However, we cannot do it alone. We ask that parents and
guardians make sure their children follow our rules.
Informative
Persuasive

Answers

Answer:

crisp, clean, formal, readable

Step-by-step explanation:

Informative - that’s why every session is supervised by our trained staff

Persuasive - safety is number one

Pls give me a brainliest thx
Other Questions
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