Mathematics Middle School

Compute i^1+i^2+i^3+...+ i^97 + i^98+i^99.

Answers

Answer 1

If $i=\sqrt{-1}$, then $i^2=-1$, $i^3=-i$, and $i^4=1$.

We can break up the given sum into 25 groups (after adding and subtracting $i^{100}$):

$(i+i^2+i^3+i^4)+(i^5+i^6+i^7+i^8)+\cdots+(i^{97}+i^{98}+i^{99}+i^{100})-i^{100}$

We have

$i+i^2+i^3+i^4=i-1-i+1=0$

and in each group, we can pull this out as a factor. For example,

$i^{97}+i^{98}+i^{99}+i^{100}=i^{96}(i+i^2+i^3+i^4)=0$

So the entire sum reduces to the remaining term,

$-i^{100}=-i^{25\cdot4}=-(i^4)^{25}=-1^{25}=\boxed{-1}$

Answer 2

Answer:

jhjhjhjjjhjhjjjjh and yea that .....................................................................................................................................................................

Step-by-step explanation:

Related Questions

help meh with this lol

Answers

Answer is C
3 pitchers of water
8 plants
3/8

A jeweler is selling 5 gold bracelets, 7 silver bracelets, and 23 copper bracelets? What is the probability of randomly selecting a gold bracelet?

i really need help like now

Answers

Answer: so the answer is 8.05 hope this was helpfull : )

Step-by-step explanation: we will do 5x7=35 35x23%=8.05

if it’s a fraction then it’s a 1/7 chance

15. The product of two whole numbers is always a whole number. Verify this statement
with two examples.

Answers

The product of two whole numbers is always a whole number i.e. if 'a' and 'b' are any two whole numbers, their product will also be a whole number.

The multiplication of any two numbers can be expressed as the repeated addition of one number. So, for example, if we add a whole number to itself again and again, then we will definitely be left with the result of a whole number.

Let's assume

a = 2, b = 3.

a × b = 2 × 3 = 6

This is the same thing as adding '2' three times to itself, which will result in a whole number, which is 6 in this case.

Let's take another example 0 and 7. The product of these numbers is:

a = 0, b = 7

a × b = 0 × 7 = 0

As we know, 0 is also a whole number. Through these examples, we can understand that the product of two whole numbers is always a whole number.

To know more about whole numbers, visit :

https://brainly.com/question/30765230

Answer: Yes, the product of two whole numbers is always a whole number.

Step-by-step explanation:

Example 1:

Let's take the whole numbers 4 and 3.

The product of 4 and 3 is 12, which is also a whole number.

4 x 3 = 12

Example 2:

Now let's take the whole numbers 7 and 2.

The product of 7 and 2 is 14, which is also a whole number.

7 x 2 = 14

Whole numbers include all positive numbers starting from zero and continuing indefinitely in the positive direction. Whole numbers do not include fractions, decimals, or negative numbers. Example- 0,1,2...

To learn more about whole numbers:

https://brainly.com/question/9879870

https://brainly.com/question/1852063

sample size of this?

Answers

I think it’s 15 which is just the total number of x’s

If you multiply 2 times $2.00, you get $4.00. If you add $2.00 and $2.00 you get $4.00. If you multiply 3 times $1.50, you get $4.50. If you add $3.00 to $1.50 you also get $4.50. If you multiply 5 times $1.25 you get $6.25. If you add $5.00 to $1.25 you also get $6.25. Six times what amount of money would give the same amount as $6.00 added to that amount?

Answers

Answer:

1.00

Step-by-step explanation:

$1.00 \times 6$

1.00

1.00x6 = $6.00

Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111

Answers

Here are the pairs matched with their products:

- (-5)(4.2) matches with -21

- (-7)(-3) matches with 21

- (2.5)(-9) matches with -22.5

Pairs (4) and (5) do not have corresponding products in the given options.

The products of the given pairs of numbers are:

(-5)(4.2) = -21

(-7)(-3) = 21

(4)(5) = 20

(2.5)(-9) = -22.5

So, the pairs of numbers and their products are as follows:

(-5)(4.2) = -21 matches with -21.

(-7)(-3) = 21 matches with 21.

(4)(5) = 20 matches with 20.

(2.5)(-9) = -22.5 matches with -22.5.

I hope this helps!

BRAINLEST HELPPP ME PLZZZZZZZZZZZZZ

Answers

Answer:

its a project which is hard to show on brainly.

Step-by-step explanation:

Sorry I cant help this time

we aren’t going to be able to help :( it’s to much

I need help pls answer this!!!

Answers

Answer:

Step-by-step explanation:

90 is the answer.....................

Plumber 1 charges $50 per hour plus a flat fee of $20.
Plumber 2 charges $60 an hour with no additional fee.

Complete the table and write a system of equations to represent the costs, where h is the number of hours and c is the total cost.

Answers

Answer:

H: 0, 1, 2, 3, 4, 5

plumber 1: 20, 70, 110, 160, 210, 260

plumber 2: 0, 60, 120, 180, 240, 300

plumber 1: C = 50h + 20

plumber 2: C = 60h

20 + 50h= c
60h=c Or 60 x h = c

Kenneth graphed a system of equations.

Kenneth says the system has no solution
Do you agree?
Yes or No

Answers

No. As the lines continue they will intersect.

There’s is a solution

Which list orders the numbers from least to greatest?

Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth

A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3

Answers

Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth

Hope my answer helps you✌️

Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5 is the list that orders the numbers from least to greatest.

2, 3, 5, 9, 17, 22, 31, 39

Regina kept track of the points she scored during her team’s first eight basketball games. What is Regina’s mean score?
Responses
A 3939
B 1616
C 3737
D 1313
E 17

Answers

Answer:

Mean = 16

Step-by-step explanation:

MEAN can be find bg the sum of all score divided by the amount of the score.

Mean = total amount / number of amount

Total amount = 2 + 3 + 5 + 9 + 17+ 22 + 31 + 39

= 128

number of amount = 2, 3, 5, 9, 17, 22, 31, 39

= 8

Then we can calculate mean as

Mean = 128/8

Mean = 16

16
2+3+5+9+17+22+31+39=128
128/8=16

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

Answers

It’s 21 so we can simply find one containing 21 and x so it would be C, c is the correct answer

What is the surface area of this right triangular prism? PLEASEEE HELPPPP It's 3D geometry

Answers

Answer:

1200 square inches

Step-by-step explanation:

Surface area of right triangular prism:

$\boxed{\text{\bf Surface area of right triangular prism = bh + $\bf (s_1 + s_2+s_3)* l$}}$

b = base of the triangle = 30 in

h = altitude of the triangle = 8 in

$\sf s_1, ~ s_2, ~ s_3 \ are \ the \ sides \ of \ the \ triangle.\\\\s_1 = 17 \ in, \ ~~ s_2 = 17 \ in, ~~ s_3 = 30 \ in$

l = length of the rectangle = 15 in

Surface area of right triangular prism = 30*8 + (17 +17 + 30) * 15

= 30*8 + 64 *15

= 240 + 960

= 1200 square inches

Answer: it is going to be 24

Step-by-step explanation:

what is |−5+ 3| 4 PLEASE

Answers

8.
|-5+3|4
|-2|4
(2)4
8
Absolute value symbols act as parentheses. Use PEMDAS to evaluate. Numbers that come out of absolute value symbols become positive.

the answer to your question is 8 :)

please help I dont know how to do this.

Answers

Answer: The expression would be 2b+7

Step-by-step explanation:

b will be the number of blue beads for the bracelet.

The number of red beads will be represented as b + 7.

Determine the expression for the total number of beads.

Then we can written it as,

= b + (b +7)

= 2b + 7.

Our algebraic expression would simply be 2x + 7
:)

Apply the markup or markdown to each item and then find the retail sale price of the following items. Round to two decimal places. Question: Adrianna buys a cell phone case marked $12. If the sales tax is 7, what is the total price of the phone case?

If u get this right i will sing u a song with my nice voice

Answers

IPR interest=1700000

Brody calculated the area of a square to be 16/36
square foot.
Which shows the side length of the square?

Answers

Answer:

Step-by-step explanation:

Area of a square = length²

If the area of a square is given, in order to determine the length, find the square root of the area.

√16 / 36 = 4/6 foot

Write each number in two equivalent forms as a fraction, decimal, or percent.

1. 0.29
2. 35%
3. 2/5

Answers

1) 29%, 29/100
2) 0.35, 7/20
3) 40%, 0.40

0.29Is equivalent to 29/100 and 29%
35% is equivalent to 0.35
2/5 is equivalent to 40%

Which statement compares the fractions nine thirds and twelve sixths correctly?

nine thirds is greater than twelve sixths
nine thirds is less than twelve sixths
twelve sixths is equal to nine thirds
twelve sixths is greater than nine thirds

Answers

9/3 (or nine thirds) is equal to 3.

12/6 (or twelve sixths) is equal to 2.

3 > 2 so 9/3 is greater than 12/6

Nine thirds is greater than twelve sixths

Nine thirds are greater than twelve sixths

Please help 5 more minutes left !

Answers

Answer:

y = -127/3 + 1.5

Step-by-step explanation:

Slope intercept form should have both slope and y intercept.

Basically, find two points per table.

so x2-x1/y2-y1

100-36.5/0-1.5 = 63.5/-1.5 = -127/3

Now that we have m in 'y=mx+b', we need b

y intercept is where x = 0, or where the line crosses the y intercept.

y = -127/3x + 1.5

Answer the following about estimating 5,392/7.

Answers

Answer:

5600/7

It is an overestimate

The answer is
5,392/7 = 770.29

What is the answer to both of these fill in the blanks

Answers

bring down the 6 to show there are 2 tens

The top is 6 & the bottom is 2

The diagonal length of the Newline board on the wall is 77 inches. The board is 67 inches long. How tall is the board? (Round to the nearest inch)

Answers

70 inches long rounding

70 inches rounding long

I CANT HELP MY BROTHER SOLVE THIS QUESTION AND I DONT WANT HIM TO CALL ME D*UMB PLZ HELP

Answers

Answer:

yes

Step-by-step explanation:

7 weeks * 7 days per week = 49 days49 days * 2 meals per day = 98 total meals98 meals * 31 grams per meal = 3038 grams after 7 weeks

Answer: Yes, he will meet his goal of eating 3,000 grams of protein in 7 weeks.

Step-by-step explanation: So for the top part your answer is supposed to be 4400.2 grams of protein in 7 weeks. You can get that by adding up the grams of protein for each type of food on the chart. Then you multiply that by 2 to get the amount they will be eating for 1 day which is 89.8. After that, because you have to solve for how much they will be eating for 7 weeks, you will have to multiply 89.9 x 49(days in total). To get you to the answer 4400.2. Now you have your answer for the second part of the problem. Yes, he will meet his goal of eating 3,000 grams of protein in 7 weeks.

Please help!
Raj wants to take yoga classes. There are two yoga studios that have different membership plans. The first studio charges a fixed amount of $70 per month, and you can takes as many classes as you want for no additional charge.
The second studio charges a smaller initial fee plus an additional fee for each class taken. The monthly price (in dollars) of a second studio as a function of the number of classes taken is given by the following table of values:

*Graph shown below*

Which studio charges more for each additional charge?
Choose 1 answer:
A. The first studio
B. The second studio
C. They both charge the same for each additional class

Raj wants to take 8 classes each month. Which studio is cheaper for him?
Choose 1 answer:
A. The first studio
B. The second studio
C. The both cost the same for 8 classes a month

Answers

Answer:

Which studio charges more for each additional charge? B

Raj wants to take 8 classes each month. Which studio is cheaper for him? A

Step-by-step explanation:

Studio one has no additional charge.

Studio two 8 classes would be 100 dollars more than the 70dollar flat fee of studio one.

The correct answer is the first studio and The answer is the second studio.

We have given that,

Raj wants to take yoga classes.

There are two yoga studios that have different membership plans.

The first studio charges a fixed amount of $70 per month, and you can take as many classes as you want for no additional charge.

What is the graph of the linear equation show?

The graph of a linear equation in two variables is a line (that's why they call it linear

Studio one has no additional charge.

Studio two 8 classes would be 100 dollars more than the 70dollar flat fee of studio one.

Which studio charges more for each additional charge.

The correct answer is the first studio

and for a second,

Raj wants to take 8 classes each month.

Which studio is cheaper for him

The answer is b that is the second studio.

The correct option are,

The correct answer is the first studio and The answer is the second studio.

To learn more about the graph visit:

https://brainly.com/question/4025726

#SPJ2

help me pls i dont get this

Answers

Answer: 0.12, 1/8, 14%, 0.2

Step-by-step explanation:

We can try and convert everything to a decimal in order to make things easier. 0.12 and 0.2 are already given to us. Now we convert 1/8 to a decimal by dividing 1 by 8 and you should get 0.125. Next convert 14% to a decimal by moving the decimal place 2 places foward, which gives you 0.14. Your numbers are 0.12, 0.2, 0.125, and 0.14 now you place them into order from least to greatest. Since one of them is three digits you can make the rest three digits to make it easier. 0.120, 0.200, 0.125, 0.140.

Your final answer would be 0.12, 0.125, 0.14, 0.2

mya average 86 points on five tests. what would she have to score on the sixth test to bring her average up by one point

Answers

Answer:

The answer is 88.

She would have to score 88

Step-by-step explanation:

86 + 88 = 174

174 ÷ 2 = 87

She would have to score at least an 88

Meghan ran nine twelfths of a mile and skipped eight twelfths of a mile around a track. How far around the track did Megan go in total? Use the benchmark fraction one half , 1, and 0 to help you estimate each answer before you solve. a one twelve mile b one and five twelfths miles c one and seven twelfths miles d twelve seventeenths mile

Answers

Answer: megan went a total distance of 1 5/12 miles or 17/12 (use which ever you need)

Step-by-step explanation:

Here, we want to calculate the total distance worked around the track

We are told that she ran 9/12 and skipped 8/12

The total distance around the track will be the sum of these two

Mathematically, that will be;

9/12 + 8/12= 17/12 but if wanted in mixed fraction $1\frac{5}{12}$

Okay so, we want to add both 9/12 and 8/12 which will lead us to 17/12! Now since this is an improper fraction we turn it into a mixed number (if you need to) and the mixed numbers is 1 and 5/12!

20 POINTS , ALSO GIVING BRAINLIEST , PLEASE HURRY !!

Answers

Answer:

.5236

Step-by-step explanation:

Formula for sphere volume:

V = $\frac{4}{3} \pi r^{3}$

substiture 0.5 for r:

$\frac{4}{3} \pi 0.5^{3}$ = .5236

Other Questions

Why would it take longer for a pot of boiling water to cool down than a cup of boiling water i'm posting more of these..... Which sentence uses theunderlined vocabulary wordincorrectly?A. I left through the explicit door and wenthome from school for the day.B. The all-star team is made up of an eliteclass of athletes.C. I am not very articulate when it comes tomy feelings about my mother.D. My classic car requires a lot ofmaintenance to keep it running. 3. If the area of a rectangle is x-10x+16 andthe length is x-2 find the width 10. In the past, some states limited voting rights bya. passing political socialization laws c. eliminating the literacy testb. charging a poll taxd. overruling grandfather clauses Explain few bad leadership for qantas airlines 122. One advantage of role-playing as a training technique is that can create greater empathy and tolerance of individual differences. True False 1. What two things did Walker learn while she was completing her PhD? How did this impact her studies? Why was one of these things unfortunate? How would you feel if you were in her shoes? Explain.and 2. What is the visible spectrum? What are the two problems with using visible light to explore the sky? Why salt was so valuable to west Africans Taylor is buying presents for members of his family. He wants to spend $10 less on his brother then he spends on his sister and six dollars more then twice the amount he spends on his sister on his mother. If taylor has $100 to spend how much does he intend to spend on his brother Grant, the newly appointed president of WPU, wants to raise the university's profile and make it among the top ten choices for students pursuing a college degree in the Midwest. He made a comprehensive presentation to the board of trustees of the university outlining his vision. As part of this vision presentation, he proposed an Integrated Marketing Communications (IMC) campaign to attract the best student prospects and their parents to WPU. After the board approved his plan, Bill Grant hired an advertising agency to help develop WPU's IMC campaign.The account management team at the ad agency was considering several choices for the source of the message in the IMC campaign. Several possibilities were discussed, including current WPU president Bill Grant, current WPU students, parents of WPU students, faculty members at WPU, a successful young entrepreneur who graduated from WPU ten years ago and now owns and runs a high-tech company with 3,000 employees, notable citizens in the community who have been impacted by WPU's presence, the very well-respected current governor of the state who enjoys a record approval rating and is a close friend of Bill Grant, and a stylish tennis player ranked fifth in the world who is a youth icon and is represented by a talent agency with close ties to the ad agency. This was a long list, and the agency had to decide on a source soon and design the communications accordingly.After much deliberation, the team arrived at a short list of three possibilities1) The highly respected state governor, Ted Brown, 2) WPU's most successful young alum and owner of Chrome Tech (a very successful high-tech company), Ryan Wright, and 3) the stylish youth icon and top-ranked tennis player, Justin White.A source is a person involved in communicating a marketing message, either directly or indirectly. Companies are very careful when selecting individuals to deliver their selling messages. Many firms spend huge sums of money for a specific person to endorse their product or company. They also spend millions of dollars recruiting, selecting, and training salespersons to represent the company and deliver sales presentations. They recognize that the characteristics of the source affect the sales and advertising message. Sources vary in their characteristics and the process through which they influence consumers. Understanding these characteristics and processes helps marketers invest in sources that will maximize message influence.Match the three sources being considered to the respective source characteristics, the process of influence involved, and possible outcomes of using that source.1. nature of the source2. process of influence3. potencial outcome- intermalization- fleeting- meaning transfer- attractive- expert and trustworthy-compliance- powerful A student learns about the principles of design in her textbook and creates a work using each one exactly as it is described. What does her work lack?objectivityfocuscreativitydetail InA Different Mirror by Ronald Takaki, the Tempest in the Wildernessis discussed. What is the significance of Caliban? The Irish andNative Americans?How does creation of Caliban demonization of e When thinking about the Positive ChangeSM framework, which is not a key activity associated with increasing readiness? Creating a network and support system. Understanding your audience. Identifying roles and responsibilities. Generating feedback. By repealing the missouri compromise of 1820, which drew the horizontal line of slavery across the west along the 36 30 parallel, the kansas-nebraska act? Pls help ill give Brainliest!! Heyo, im just double checking my answer, please help Which statement does NOT correctly describe the electric force between two particles?If they have the same sign, the force will be away from each other; if they have opposite signs, the force will be towards each otherThe farther apart they are, the smaller the force will beThe greater each charge is, the more force there will beIf they are moving towards each other, the force will be perpendicular; if they are moving away from each other, the force will be parallel political correctness always reflects a shallow and meaningless attempt to sanitize language. true or false Chapter 1: Case Study Activity QuestionsCase Study-1: Identify Security Control Types1. Despite operating a patch management program, your company has been exposed to severalattacks over the last few months. You have drafted a policy to require a lessons- learnedincident report be created to review the historical attacks and to make this analysis arequirement following future attacks. How can this type of control be classified?2. A bespoke application used by your company has been the target of malware. The developershave created signatures for the application's binaries, and these have been added to endpointdetection and response (EDR) scanning software running on each workstation. If a scan showsthat a binary image no longer matches its signature, an administrative alert is generated. Whattype of security control is this?3. Your company is interested in implementing routine backups of all customer databases. This willhelp uphold availability because you will be able to quickly and easily restore the backed-upcopy, and it will also help uphold integrity in case someone tampers with the database. Whatcontrols can you implement to round out your risk mitigation strategy and uphold thecomponents of the CIA triad? Given m|n, find the value of x.(x+27)(2x-7)m