Its pretty easy if you are good at math! Please help!

Its Pretty Easy If You Are Good At Math! Please Help!

Answers

Answer 1

Step-by-step explanation:

Explanation:

The trick is to know about the basic idea of sequences and series and also knowing how i cycles.

The powers of i will result in either: i, −1, −i, or 1.

We can regroup i+i2+i3+⋯+i258+i259 into these categories.

We know that i=i5=i9 and so on. The same goes for the other powers of i.

So:

i+i2+i3+⋯+i258+i259

=(i+i5+⋯+i257)+(i2+i6+⋯+i258)+(i3+i7+⋯+i259)+(i4+i8+⋯+i256)

We know that within each of these groups, every term is the same, so we are just counting how much of these are repeating.

=65(i)+65(i2)+65(i3)+64(i4)

From here on out, it's pretty simple. You just evaluate the expression:

=65(i)+65(−1)+65(−i)+64(1)

=65i−65−65i+64

=−65+64

=−1

So,

i+i2+i3+⋯+i258+i259=-1


Related Questions

5 ⋅ x = 12

what is x?

Answers

Answer:

x is 2.4

Step-by-step explanation:

Nelson used 35% of his savings account for his class trip in May. If he used $140 from his savings account while on his class trip, how much money was in his savings account before the trip?

Answers

Answer:

$400

Step-by-step explanation:

140 ÷ 35% = 400

pakisaguatn pls help me asappppppppppp
nahihirapan po ako dito
plsssss​

Answers

Answer:

Step-by-step explanation:

conversion factors:

m:cm= 1:100

dm:km= 1,000,000:1

m:mm= 1:1000

hg:dg= 1:1000

g:cg= 1:100

kg:g=1000

so we plug in:

5m=500 cm

5246dm=0.5246km

5.246m=5246mm

3.7hg=3700dg

0.37g=37cg

370kg:370000

so the word is SPEAKUP

4x^2 - 12x - 3

what would the answer be if x = 7

Answers

Answer:

= 3 /2 ±  √ 3

Step-by-step explanation:

Answer : 109


Step-by-step explanation

can you guys please help i would appreciate it , 15 points ! please, i’ll mark you brainliest!

answer the 2 questions

Answers

the first one is 12% and the second one is 32.30

sorry that's all I know

But I think is 12%

that is my answer#carry on learning

Find the gcf of X^2-5x

Answers

Answer: This answer is 1

Step-by-step explanation: Plzz mark brainliest - Lily ^_^

You can walk 3/4 of a mile in 1/6 of an hour (10 minutes). How far can you walk in an hour?

Answers

Answer:

4 and 1/2 miles (or 9/2 miles)

Step-by-step explanation:

I would set this up as a proportion

3/4          x

10          60

Cross multiply

60 x 3/4 = 45

Divide

45/10 = 4.5

4.5 = 4 and 1/2 miles

The cost of a jacket was originally 40$ It was on sale for 20% how much did they save

Answers

Answer:

$9

Step-by-step explanation:

In this circumstance, 20% off is the original number (40) divided by 5, and that's the answer. I hope this helps!

Answer: They saved $8

Step-by-step explanation:

0.20 × $40 = $8.00

Which conversion is correct?

Question 12 options:

.15, 15%, 1/4


.70, 7%, 3/4


.25, 20%, 1/4


.75, 75%, 3/4

Answers

.75 75% 3/4 is the correct answer

A truck has traveled 75 miles in 1.5 hours of driving. At the same speed, which proportion can be used to determine how long, T (in hours), it would take the truck to travel 325 miles.

Answers

Answer: 6.5 hours

Step-by-step explanation:

From the question, we are given the information that a truck has traveled 75 miles in 1.5 hours of driving. The miles pee hour travelled will be:

= 75 / 1.5

= 50 miles per hour

The number of hours that the truck will use to travel 325 miles will be:

= 325/50

= 6.5 hours

i need help with both please this is due in 10 minutes

Answers

Answer: the first one is a function. the second one is not.

PLEASE HELP! Brainliest will be given to the right answer

Answers

The answer should be A
dilation by a scale factor of 0.5 from the origin and translation 2 units to the right


A full glass of water can hold a bottle.
How many glasses of water can be filled with 3 and 1/2 bottles of water?

Answers

It can fill 21 glasses of water
Explanation: 1 glass holds 1/6 of a bottle then 6 glasses hold 1 glass bottle water. then 3(12)or72 bottle can give 6⋅72 glasses of water , that is 21 glasses.

p(x) = -2x – 2; Find p(-3)

Answers

p(-3)= -2(-3) -2
p(-3)= 6-2
p(-3)= 4
The answer is p(3)=4

Part A
Joseph runs 2 1/2 miles on Monday. Each day after that, he runs the same 1 1/3 mile route every morning. His goal is to run at least 6 miles
by the end of the week. Which inequality represents the least number of days after Monday that Joseph needs to run to reach his goal?

Answers

Answer:

The answer is C

Number of days= 21/8

Step-by-step explanation:

The inequality to represent the given situation is [tex]2\frac{1}{2}+1\frac{1}{3} \le6[/tex]. Therefore, option B is the correct answer.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, Joseph runs [tex]2\frac{1}{2}[/tex] miles on Monday. Each day after that, he runs the same [tex]1\frac{1}{3}[/tex] mile route every morning.

Let the number of days be x.

Here, the inequality is

[tex]2\frac{1}{2}+1\frac{1}{3} \le6[/tex]

Therefore, option B is the correct answer.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ2

PLS ANSWER ITS DUE IN 5 MINUTES

Answers

Pi is the ratio of the circumference of a circle to its diameter, D

Answer:

D.

Step-by-step explanation:

is the ratio of the circumference of any circle to the diameter of that circle

PLEASE HELP ⚠️⚠️

Elena began to solve this equation: 12x +6(4x + 3) = 6(6x + 4) - 6 12x + 24x + 18 = 36x + 24 - 6 when she got to the last line she stopped and said the equation is true for all values of x. How could Elena tell without finishing?​

MARKING BRAINLIEST IF YOU ACTUALLY TRY​

Answers

Answer:

Elena could tell without finishing by simplifying both sides. The next step would have been 30x +24x = 30x+24. This would have been simplified down to x=1

Step-by-step explanation:

She got to the last line 36x + 18 = 36x + 18 when she stopped and said the equation has infinitely many solutions.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given as,

12x +6(4x + 3) = 6(6x + 4) - 6

Simplify the equation, then we have

12x +6(4x + 3) = 6(6x + 4) - 6

12x + 24x + 18 = 36x + 24 - 6

36x + 18 = 36x + 18

She got to the last line 36x + 18 = 36x + 18 when she stopped and said the equation has infinitely many solutions.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

PLz help an show work for brainlist

Answers

Step-by-step explanation:

Its option D

As, for red $12 is charged

So 35 x $12 = 420

And white is $10

So, 20 x 10 = $200

= $420 + $200 = $620

Hope this helps

6th term 25,75,225,675,.... is it arithmetic or geometric. what's the explicit equation and the given term​

Answers

Answer:

see explanation

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

[tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{75}{25}[/tex] = 3

[tex]\frac{a_{3} }{a_{2} }[/tex] = [tex]\frac{225}{75}[/tex] = 3

[tex]\frac{a_{4} }{a_{3} }[/tex] = [tex]\frac{675}{225}[/tex] = 3

This indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex]  = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 25 and r = 3 , then

a₆ = 25 × [tex]3^{5}[/tex] = 25 × 243 = 6075

(5x - 15) - (2x + 5) = 3x - 20
(2x + 5) - (5x - 15) = - 3x + 20
The sum is ___

Answers

Step 1: Simplify both sides of the equation.

5x−15−(2x+5)=3x−20

5x−15+−1(2x+5)=3x−20(Distribute the Negative Sign)

5x+−15+−1(2x)+(−1)(5)=3x−20

5x+−15+−2x+−5=3x−20

5x+−15+−2x+−5=3x+−20

(5x+−2x)+(−15+−5)=3x−20(Combine Like Terms)

3x+−20=3x−20

3x−20=3x−20

Step 2: Subtract 3x from both sides.

3x−20−3x=3x−20−3x

−20=−20

Step 3: Add 20 to both sides.

−20+20=−20+20

0=0

Answer:

All real numbers are solutions.

2x+5−(5x−15)=−3x+20

Answer:

All real numbers are solutions.

HELP FAST I'LL MARK YOU BRAINLIEST What is an equation of the line that passes through the point (−2, 3) and is perpendicular to the line whose equation is y = 3/2( x ) − 4?

Answers

Answer: y = -2/3x + 5/3

Step-by-step explanation:

The slope of a perpendicular line is opposite reciprocal --> -2/3Using point given (-2, 3), find b.3 = -2(-2/3) + b3 = 4/3 +b5/3 = b

A king owned land outside of his castle he has partitioned the land to give as gifts to his 5 sons what fraction of land did the king give to each of his sons here is zeke solution andy got 1/2 bill got 1/5 carl got 1/5 dirk got 1/8 and evan got 1/8 identify zeke's two errors correct them and explain why your answers are correct

Answers

Picture relating to the question is attached

Answer:

Andy = 1/2

Bill = 1/8

Carl = 1/8

Evan = 1/8

Dirk = 1/8

Step-by-step explanation:

According to the picture depicting the sharing of the land :

Fraction of the total rectangular plot = 1

Andy got a portion of the whole divided into 2 = 1/2

Fraction left after Andy's portion:

1 - 1/2 = 1/2

1/2 of the fraction left was divided equally between Dirk and Evan

Hence ;

1/2 of 1/2 = 1/2 * 1/2 = 1/4

Dirk's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Evan's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Fraction of land left :

1 - (1/2 + 1/8 + 1/8) = 1 - 3/4 = 1/4

1/4 was divided equally into 2 for Bill and Carl:

Bill's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

Carl's share = 1/4 ÷ 2 = 1/4 * 1/2 = 1/8

what is the coefficient of y in 1 x 4 + 7y

Answers

Answer: The coefficient, which in this case is the numerical coefficient, is 7. Hope this helps (:
The coefficient would be 7. The coefficient means the number before a variable. In this case the variable is Y and the number before it is 7. Hope this helps, please mark brainlist?

50 points and will mark brainlist


READ ABOVE

true

or


False

or


Not enough information

Answers

Answer:

that is true

Step-by-step explanation:

i think it's help

Step-by-step explanation:

The advertising are telling the truth value of this questions

What is the area of the blue coloured triangle ranging from the two squares of 4x4 and 6x6 dimensions?

Answers

Answer:

Area = 18 Sq.units

Step-by-step explanation:

From the given dimensions we have, we can say that the total length of the base = 6 + 4 = 10 units

Now,since we know that all sides of the red square are 6 units, we can use pythagoras theorem to get the length of the long diagonal that serves as the base of the blue colored area.

Let the diagonal be c. Thus;

c = √(10² + 6²)

c = √(100 + 36)

c = √136

Let length of the horizontal part of the blue area be "b". Thus, b = 6 units

Let the other part of the triangle be a. We can find a from pythagoras theorem.

a = √(4² + 6²)

a = √(16 + 36)

a = √52

Using hero's formula, we can find the area of the triangle;

Area = √(s(s − a)(s − b)(s − c))

Where s = (a + b + c)/2

s = (√52 + 6 + √136)/2

s = 12.4365

Area = √(12.4366(12.4365 −√52)(12.4365 − 6)(12.4365 − √136))

Area = 18 Sq.units

f(x) = 5x + 6; reflection in the x-axis

Answers

Once reflected over the x-axis y=5x-6

The perimeter of a triangle is 24 ft. The second side is two feet longer than the first. The third side is two feet longer than the second. What are the lengths of the sides?

Answers

Answer:

6; 8; 10

Step-by-step explanation:

First side: x

Second side: x+2

Third side: x+4

x + x + 2 + x + 4 = 24

3x + 6 = 24

3x = 18

x=6

First side: 6

Second side: 8

Third side: 10

Question 4 (2 points)
Which equation represents a line parallel to the line whose equation is 2y - 5x = 10?
оа
2y + 10x = 8
Ob
4y - 10x = 12
OC
5y + 2x = 10
Od
5y-2x = 25
Question 5 (2 points)
What is the slope of the line perpendicular to the line represented by the equation 2x + 4y = 12?

Answers

Answer:

12

Step-by-step explanation:

The required equation of the line that is parallel to the given line is 4y - 10x = 12. Option B is correct.

Given that,
Which equation represents a line parallel to the line whose equation is 2y - 5x = 10 is to be determined.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The property of the parallel line state that the slope of the parallel line are always equal.
So the slope of line given in B 4y - 10x = 12 is m = 5 and slope of the given line is m = 5 which are equal.

Thus, the required equation of the line that is parallel to the given line is 4y - 10x = 12. Option B is correct.

Learn more about slopes here:

https://brainly.com/question/3605446

#SPJ2

 this one is really hard

Answers

Answer:

142

Step-by-step explanation:

opposite angle theorem

Answer:

D. 142

Step-by-step explanation:

They are vertical angles which are always equal

Are these triangles similar?

Answers

Answer:

B. Yes, by the AA Similarity Postulate

Step-by-step explanation:

This triangles are both similar based on the AA Similarity Postulate. We know that all angles are equal because...

m∠ABE = m∠CBD = 42° (because they are veridical/opposite angels)

m∠AEB = 180° - m∠ABE - m∠EAB = 180° - 42° - 53° = 85°

Then from here we know that

m∠BDC = 180° - 85° - m∠CBD

m∠BDC = 95° - 42°

m∠BDC = 53°

From here we see that they are similar because of the AA Similarity Postulate, since

m∠ABE = m∠CBD = 42°

m∠BDC = m∠EAB = 53°

m∠AEB = m∠BCD = 85°

Other Questions
THIS IS HOMEWORK Is American cheese hard, soft, semi-soft, semi-hard hey I have a question how do I answer this IXL question I need help Colton was worried that his car might break down after he noticed a quite clunking noise coming from his engine? Part of eating mindfully is choosing activities to meet nonhunger needs. Which of the following is an example of this?A. Exercising to relieve stressB. Eating healthy food when you are sadC. Having healthy foods on hand for dinnerD. Reading about health so that you can make good choices UMS Grade 7 Math CUA- Unit 4 / 6 of 10A garment is on sale for 35% off the regular price. If the regular price is $48.80, then what is the sale price?O A $16.27O B. $17.08OC. $31.72O D. $32.53PLEASE HURRY IM DOING THE TESTTT NOWWWW X^2+2x+1=4 complete the square What is the chemical formula for Sulfuric acid PLS HELP IM BEING TIMEDExplain one key reason why many Europeans are willing to pay higher taxes to support a welfare state in their countries. If three pounds of bananas cost $4.50 find the cost of 10 pounds of bananas Given that P(B|A)=0.75 and P(A)=0.47, what is P(B AND A)? Round to three decimal places. what volume of alcohol will have the same mass as 4.2m^3 of petrol? (density of alcohol 0.4kg/m^3 and petrol is 0.3kg/m^3) Someone help me quick Hey I need some help here! 6x +2 (5x -6) ILL GIVE U BRAINLIST!! Connor is working two summer jobs, making $8 per hour walking dogs and making $12 per hour landscaping. In a given week, he can work a maximum of 15 total hours and must earn no less than $160. If Connor worked 12 hours walking dogs, determine the maximum number of whole hours landscaping that he can work and still meet his requirements. If there are no possible solutions, submit an empty answer. Solve.4.75 x $2.20 =$9.45$10.55$9.55$10.45 1. Line L passes through point (-1, 2) and (-3,-2) on a coordinate plane. LineM passes through the points (1.1) and (-1, W). For what value of W will makeline L and line M parallel. HELP ASAP This is the first paragraph of Tanyikas analytical essay.The main character in this story seems foolish at first because she doesnt follow the advice of the elders in her clan. She is very beautiful, and several young men want to marry her. She refuses all of them, and instead decides to live alone. Later, she avoids starvation by becoming an expert fisherwoman.What should you say to Tanyika about this paragraph, if you become part of her peer review group?A)"This summary of the story is very clear. Your first paragraph should state an actual claim about the story, though--something you have to prove."B)"I think we both agree that the main character should have married when she had the chance. I didnt like the story much at all. Did you?"C)"It is impressive how the main character becomes such an expert in a valued activity. However, thats not really how the story ends."D)"Clearly, you believe that the main character is a strong young woman who has her own ideas. Thats not how I see it, though." Item 7The ratio of the weight of an object on Jupiter to its weight on Earth is 8:5, meaning that an object that weighs 8 pounds on Jupiter weighs only 5 pounds on Earth. In the first box provided, write an equation that represents the relationship between the weight on Jupiter j and the weight on Earth e and on the second line, write its reciprocal. ASAP Brainliest if you got it right 2(picture) 2-5 question ASAP HELP! Which equation is NOT linear?O y = 5xO y = 3 + 4xO y = 2x3 - 1O y = -3x -7 Help ill mark u brainliest