what value will(i)raised to power 8 give?​

Answers

Answer 1

[tex]i = \sqrt{ - 1}[/tex]

[tex]i {}^{2} = - 1[/tex]

[tex]i {}^{ 3} = - 1 \sqrt{ - 1} [/tex]

[tex]i {}^{4} = 1[/tex]

[tex]i {}^{8} = i {}^{4} \times i {}^{4} = 1 \times 1 = 1[/tex]


Related Questions

Which means "p decreased by 75"?

Answers

the answer is 75 - p

Function A(e) represents the surface area of a cube in terms of its edge length, e, and the difference quotient is 12e + 6h. What is the average rate of change in surface area of a cube as the edge length increases from 3 inches to 5 inches?

48 square inches per inch
54 square inches per inch
66 square inches per inch
96 square inches per inch

Answers

Answer: 48 square inches per inch

Step-by-step explanation:

The surface area of a cube of sidelength e is:

A(e) = 6*e^2.

The rate of change is:

A'(e) = 2*6*e

The average rate of change between 3 in and 5 in is:

r  = (A(5in) + A(3in))/2 = (2*6*5in + 2*6*3in)/2 = 48in

Now, the options are given in:

"squere inches per inch"

This is written as:

in^2/in = in.

Then we can write our above rate as:

r = 48in = 48in^2/in = 48 square inches per inch.

Answer:

Just did the test, 48 square inches is correct on edge

Step-by-step explanation:

Give credit to the other person.

You spend $40 on $5 pounds of concrete.what is the unit rate in dollars per pound

Answers

Answer:

$8/pound

Step-by-step explanation:

$40 ÷ 5 lbs = 8$ per pound

$8 pounds

Step by step explanation =
40 divided by 5 = 8

Obtain two numbers such their HCF is 20 and their LCM is 300....... By steps...

Answers

Answer:

60 and 100

Step-by-step explanation:

Look for 2 multiples of 20 which are also factors of 300.

No need to go all Mathematician.

It's simple, no long explanation needed

How many 5 digit numbers can be created using 0-9

Answers

Answer:

100000

Step-by-step explanation:

10^5

105 ways 5 digits can be made

2(x+9)-4=68 pls help me 60 points!!!!

Answers

Answer:

x=27

Step-by-step explanation:

2x+18-4=68

2x+18=72

2x=54

x=27

I hope this helps even the slightest!

Please mark brainliest!

a) The card states that it makes 60 cookies. How much flour is required for 30 people?
b) The card states that it makes 60 cookies. How much salt is required for 30 people?​

Answers

Answer:

assuming each person gets one cookie

a 1 1/4 C

b 3/8 tsp

Step-by-step explanation:

divide recipe in half

a 2.5/2=1.25

b 3/4 ÷ 2 ; rewrite to 6/8 ÷2 = .375

You are considering leasing one of two store sites of equal size. The first site features a percentage lease of 5% of sales per month. The second site features a triple net lease with these monthly terms: rent is 4% of sales, insurance is $200, maintenance is $55, utilities total $300, and property tax is $200. Your business plan estimates your monthly sales to average $97,000. Which lease is better for you financially?

Answers

Answer:

The Second Site

Step-by-step explanation:

PLEASE HELP, trying to do this escape room level and i have no clue what to do.

Answers

Answer:

6688

Step-by-step explanation:

I think, I hope!

The correct sequence for the numbers that are given will be:

64084608084608468064

How to depict the numbers?

It can be seen that from the information given, a number has been attached to each diagram. This will be used in answering the questions given.

Therefore, the correct sequence for the numbers are given will be 6408, 4608, 0846, and 8064.

Learn more about sequence on:

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Help view the picture find the value of p

Answers

Answer:

the answer of the problem p=32

Solve the inequality. Graph your solution.
-2m < 12

Answers

Answer:

M<-6 is the answer

Step-by-step explanation:

divide -2 on both sides and 12÷-2 is -6 so m<-6

Which one is it? I really need help.​

Answers

Answer:

-144ft below sea level

Step-by-step explanation:

It is a linear equation. Written as y=14x-270. So what you do is substitute x for 9,

y=14(9)-270

y=126-270

y=-144

Answer:

I think the answer is A. The submarine was 144 feet below sea level(-144) after 9 minutes.

Step-by-step explanation:

This is how i got me answer:

z=9

14 x 9 = 126

-270 + 126 = -144

which repersents the slope of a line that is parallel to a line with the slope of -2

Answers

Answer:

-2

Step-by-step explanation:

slope is -2 because parallel lines have equal slopes.

A store sells a package of 25 trading cards for​ $5.25. Use pencil and paper. Explain how you can tell that the unit price per card is less than​ $1. What is the unit price per​ card? PLEASE HELP ME ILL GIVE YOU BRAINLIEST

Answers

Answer:

5.25/25=0.21

Step-by-step explanation:

to find this you can do 0.21 times 25 which gets 5.25 so there is your answer

5.25/25=0.21 is the unit price per​ card.

What is division?

Division is the process of splitting a number or an amount into equal parts.

Here, given that,

A store sells a package of 25 trading cards for​ $5.25.

So, price of per card = 5.25/25

                                  =0.21

(to find this you can do 0.21 times 25 which gets 5.25 )

Hence, 0.21 is the unit price per​ card.

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When the Smith family
left for their vacation, their odometer read
38,573.2 miles. When they arrived, it read
39,204.9 miles. How far did they travel on their
vacation? I HAVE NO IDEA WHAT TO DO AND WHAT THE ANSWER IS!?!? CAN SOMEONE HELP I NEED THE ANSWER QUICK!!

Answers

Hello!

Answer:

631.7 miles

Step-by-step explanation:

All you need to do is to subtract 38,573.2 miles from 39,204.9 miles.

So something like this>>>

  38,573.2

_ 39,204.9

__________

        631.7

You're Welcome! Hope it helps!

I need help please thankyou ​

Answers

Answer:

12 candy pieces per package.

Step-by-step explanation:

Rate of change is the change in y over the change in x. The change in y based on the plotted points is 12, and the change in x is just 1. So, 12/1=12.

Write the decimal 0.075 as a fraction in simplest form.

Answers

Answer:

3/40

Step-by-step explanation:

Answer:

3/40

Step-by-step explanation:

Phil walks around a field 4 times.

The field is 2.1 miles.

About how many miles does Phil walk in all?

Answers

Answer:

8.4

Step-by-step explanation:

You multiply 2.1 and 4

4a + 3a
Will give brainliest!!!

Answers

Answer:

7a

Step-by-step explanation:

4a + 3a

(4 + 3)a

(7) a

Answer = 7a

Answer:

4a+3a is equivalent to 7a

Step-by-step explanation:

when simplifying you combine like terms. Since 3a and 4a are like terms and their are no exponents, all you have to do is add the coefficients together.

Triangle K J I is reflected to form triangle J prime K prime I prime.
Which type of transformation is shown in the figure on the left?
translation
reflection
rotation
dilation

Answers

Reflection if you match the points
I thinks It’s reflection hope I helped

pls help with this im being timed once again

Answers

I’m thinking 80 cm I may be wrong tho

Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace the card, and draw another card. You repeat this process until you have drawn 18 cards in all. What is the probability of drawing at least 6 diamonds

Answers

Answer:

Step-by-step explanation:

Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you place the card back in the deck, shuffle the deck, and draw another card. You repeat this process until you have drawn 20 cards in all. What is the probability of drawing at least 8 hearts?

For the experiment above, let X denote the number of hearts that are drawn. For this random variable, find its expected value and standard deviation.

E(X)=

?=

Write the ratio 2/7 over 3/7 in simplest form. Help Please!!! Need answer ASAP

Answers

Answer:  2/3

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

Work Shown:

[tex]\frac{2}{7} \div \frac{3}{7}\\\\\\\frac{2}{7} \times \frac{7}{3}\\\\\\\frac{2*7}{7*3}\\\\\\\frac{2}{3}\\\\\\[/tex]

When dividing fractions, you flip the second fraction and multiply (step 2).

Note in the last step, the 7's cancel out.

Answer:

2÷3

Step-by-step explanation:

=2÷7×3÷7

= 7 of the denominator will be cancelled

=hence, 2÷3 is the answer

The product of two numbers is 2400 iftheir LCM is 120 find their LCM.... BY STEPS!!..... ​

Answers

Answer:

60 and 40 or 120 and 20

Step-by-step explanation:

60 x 2=120

40 x 3=120

60 x 40=2400

120 x 1=120

20 x 6=120

120 x 20=2400

You can try a few others, but no others have an lcm of 120

Ella completed the following work to test the equivalence of two expressions.



What conclusion can you draw from Ella’s work?

Answers

Answer:D

Step-by-step explanation:

Can you help me please

Answers

Parallel lines have the same slope.

m = (y2-y1)/(x2-x1)

m = (-3-3)/(4-0)

m = -6/4 = -3/2

Substitute the values in y = mx + c,

-5 = (-3/2)(6) + c

-5 = -9 + c

c = 4

y = (-3/2)x + 4

Thus, Option D is the correct answer

think you could help i don't understand

Answers

Answer: it is the alphabet

U need to do the Distribution

Sharon has two liabilities: a credit card balance of $1300 and a car loan balance of $4800. Sharon car has a market value of $9000 she also has a balance of $1450 in her saving account and has stocks that are currently worth $1050. What is Sharon’s net worth?

Answers

Given:

Sharon has two liabilities: a credit card balance of $1300 and a car loan balance of $4800.

Car = $9000

Balance in her saving account = $1450

Stocks = $1050.

To find:

Sharon’s net worth.

Solution:

Total liabilities = Credit card balance + Car loan balance

                        = $1300 + $4800

                        = $6100

Total Assets = Car + Balance in her saving account + Stocks

                     = $9000 + $1450 + $1050

                     = $11500

Now,

Net worth = Total assets - Total liabilities

                 = $11500 - $6100

                = $5400

Therefore, Sharon’s net worth is $5400.

Sharon's net worth, based on her assets and liabilities, is $5,400.

What is the net worth?

Net worth refers to the difference between an individual's assets and liabilities.

Assets are the properties owned by the individual.  Liabilities are the sources of funding for the assets.  They are financial obligations owed to outsiders (creditors).

In business, the net worth of an entity is known as equity.

Data and Calculations:Liabilities:

Credit card balance of $1300

Car loan balance of $4800

Total liabilities = $6,100

Assets:

Sharon's car with a market value of $9000

Savings account balance of $1450

Stocks that are currently worth $1050

Total assets = $11,500

Net worth = $5,400 ($11,500 - $6,100)

Thus, Sharon's net worth is $5,400.

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From my sis: Which list of fractions is in order from smallest to largest?
A: 1/6, 1/3, 1/2
B: 1/2, 1/3, 1/6
C: 1/6, 1/2, 1/3
D: 1/2, 1/6, 1/3
I'll give branliest bc why not:)

Answers

Answer:

B

Step-by-step explanation:

A wire is bent to form semi circles as shown below. How long is the wire? Use 3.14 for pi and round your answer to the nearest hundredth if necessary
4 semi circles and the diameter is 41

Answers

Answer:  257.48 cm

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

Explanation

Those 4 semicircles can be joined to form 4/2 = 2 full circles.

Each circle has diameter 41 cm.

Let's find the circumference of one circle

C = circumference, d = diameter = 41, pi = 3.14

C = pi*d

C = 3.14*41

C = 128.74

That's the perimeter of one full circle. Double it to get

2*128.74 = 257.48 cm

Which is the total length of the wire.

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