Simplify. i^221 please help

Answers

Answer 1

221 = 220 + 1 = 4 * 29 + 1

So

i ²²¹ = i ²²⁰ i ¹ = i ⁴*²⁹ i = (i ⁴)²⁹ i = 1²⁹ i = i

since i ⁴ = 1.


Related Questions

Perry took a total of 12 quizzes over the course of 6 weeks. After attending 10 weeks of
school this quarter, how many quizzes will Perry have taken in total? Solve using unit rates.

Answers

Answer:

so perry takes about 2 quizzes a week ok well all we have to do is multiply 2×10=...20 so perry takes about 20 quizzes in ten weeks

4x -2 + 5x +6
What does this equal

Answers

Answer:

9x+4

Step-by-step explanation:

9x+4 I will look at your other question

Applying the Pythagorean Theorem

What is the value of x?

x = ?

Answers

Answer :

hyp² = base² + perp²

by putting the values we get

10² = 8² + perp²

100 = 64 + perp²

taking 64 to left side.

100 - 64 = perp²

36 = perp²

Now taking underroot on both sides we get

[tex] \sqrt{36 \: } = \sqrt{perp { }^{2} } [/tex]

therefore

6 = perp

perp is x in the above solution.

The solution is x = 6

The value of x in the triangle is x = 6

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be represented as ABC

Triangle ABC is a right triangle

Now , the measure of sides of the triangle are

The measure of side AB = x

The measure of side BC = 8

The measure of side AC = 10

Now , For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Substituting the values in the equation , we get

AC² = AB² + BC²

10² = x² + 8²

Subtracting 8² on both sides of the equation , we get

x² = 10² - 8²

x² = 100 - 64

x² = 36

Taking square roots on both sides of the equation , we get

x = 6

Therefore , the value of x is 6

Hence , the measure of side AB of the triangle is x = 6

To learn more about triangle click :

https://brainly.com/question/16739377

#SPJ2

Can someone please help, ty!!

Answers

Answer:

(-1,0)

Step-by-step explanation:

Answer:

(-1, 0)

Step-by-step explanation:

The x-axis is the horizontal line in bold. It's basically asking what points in the form (x,y) are touching said line.

So we use our eyes and determine that the line intercepts the x-axis at -1 because that vertical bold line is the y-axis and it determines that the left side of the graph is negative and the right side is positive.  

Since it is an x-intercpet, when the y-value is 0 the y-term in

(x,y) is 0

and the x-term would be the -1

Can anyone help me on this pleaseeeee

Answers

Answer:

I believe it's B.

Step-by-step explanation:

You're going 5 units right on the X-axis, and -2 units down on the Y-axis.

If a =3.6 and b=10 then ab=

Answers

Answer:

36

Step-by-step explanation:

ab = a*b

a=3.6

b=10

3.6*10

=36

What is the distance between points (-2, 7) and (4, -3) on a coordinate plane?

Answers

6, 10 because the difference of -2 and 4 is six and the difference of 7 and -3 is 10

"The manager for State Bank and Trust has recently examined the credit card account balances for the customers of her bank and found that 20% have an outstanding balance at the credit card limit. Suppose the manager randomly selects 15 customers and finds 4 that have balances at the limit. Assume that the properties of the binomial distribution apply.a.What is the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards?b.What is the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card"

Answers

Answer:

a

   [tex]P(X = 4 ) = 0.1876[/tex]

b

   [tex]P(X \le 4)  =  0.8358[/tex]

Step-by-step explanation:

From the question we are told that

The proportion that has outstanding balance is p = 0.20

The sample size is n = 15

Given that the properties of the binomial distribution apply, for a randomly selected number(X) of credit card

[tex]X \ \ ~ Bin (n , p )[/tex]

Generally the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards is mathematically represented as

[tex]P(X = 4 ) = ^nC_4 * p^4 * (1 - p)^{n-4}[/tex]

=> [tex]P(X = 4 ) = ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}[/tex]

Here C stand for combination

=> [tex]P(X = 4 ) = 0.1876[/tex]

Generally the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card is mathematically represented as

[tex]P(X \le 4) = [ ^{15}C_0 * (0.20)^0 * (1 - 0.20)^{15-0}]+[ ^{15}C_1 * (0.20)^1 * (1 - 0.20)^{15-1}]+\cdots+[ ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}][/tex]

=>   [tex]P(X \le 4)  =  0.8358[/tex]

Which lines are perpendicular to the line y – 1 = One-third(x+2)

Answers

Answer:

[tex]y-1=-3(x+2)[/tex]

Step-by-step explanation:

The equation of the given line:

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

This equation is in the form [tex]y-y_{1}=m(x-x_{1})[/tex].  Therefore, 1/3 is the slope.

To find a perpendicular line, take the opposite reciprocal of the slope (-1/old slope).  Therefore, the slope of the perpendicular line is -3.

The equation of the perpendicular line: [tex]y-1=-3(x+2)[/tex]

A government might try to reduce unemployment in order to:
A. Allow businesses to invest money more freely.
B. set limits on its own economic growth.
C. keep inflation from rising too quickly
D. make sure its people can find jobs
If you get it correct will give brainly

Answers

Answer:

Make sure people can find jobs

Step-by-step explanation:

Answer: D, Make sure it’s people can Find job’s.

Step-by-step explanation: it’s the Answer I just did the quiz.

What does this even mean??? I accidentally went on college

Answers

Answer:

I think what the teacher wants is for you to calculate it and then put said calcuated number on number line

Step-by-step explanation:

FOR EXAMPLE: if the DIFFERENCE is 7, put 7 on the number line

I think the greatest number

Find the value of x.

(9x + 1)
(11x – 23)

Answers

the answer to the question is x=12

20. Shane rolls a dice numbered 1 through 6. What is the probability Shane rolls a 5?
a. 5/6
b. 1/6
c. 1/5
d. 1/2

Answers

Answer:

b

Step-by-step explanation:

What is this question 23474+ 4749

Answers

Answer:

The answer to this is 23474 + 4749 = 28223

Step-by-step explanation:

Hope this helps :)

Answer:

Sum:: 28223

Step-by-step explanation:

If your referring to write it in question form::

What is the sum of 23,474 plus 4,749 ?

Determine x:
X
2
47°

Answers

here is your answer 12°

Acell phone company charges $3.00 to make a phone call plus $0.15 for
each minute for each minute you talk. Which equation would you use to
determine the total cost, c, of a phone call that is m number of minutes
long?
C=0,15 - 300m c-3.00 -0.15m
3.00 = € + 0,19
C = 3,00 + 0.15m

Answers

Answer:

Hi there!

Your answer is:

3+.15m =c

I cannot read your answer choices, but that is your answer. I believe your answer choice that matches is the lowest one; C= 3,00 +.15m

Hope this Helps

PLEASE HELP ME I NEED THE ANSWER VERY BADLY JUST PLEASE GIVE ME THE ANSWER CHOICE AND DONT GUESS!!!!!!!!!!!!!!
the equations below are representations of linear equations in two variables.
I. y=-2/3x+4
II. y-2=2/3(x-9)
III. 2x+3y=12.

Which linear equation(s) in two variables represent a line that contains the point(9,-2) and with a slope of -2/3?

A. I,II and III
B. I and II only
C. I and III only
D. II and III only

Answers

Answer:

ITS B

Step-by-step explanation:

HOPEFULLY THIS WORKS!!!

Can someone solve this???

Answers

Answer:

1. a)x² + y² = 29  ------------------(1)      

y² - x² = 23 ----------------(2)

y²  = 23 + x²

Using the value of y² in the first equation:

x²  + y²  = 29

x²  + (23 + x²)  = 29

2x²  = 6

x² = 3

x = √3

Using the value of x in equation (2)

y²  - x²  = 23

y²  - 3 = 23

y²  = 26

y = √26            and            x = √3

b) ( 1 - 12x) / 3 < 0   =   1-12x < 0  =  x > 1 / 12

(1-x) / 2 ≤ (3-x) 3  =  3 - 3x ≤ 6 - 2x  =   -3 ≤ x

In these 2 equations, the value of x will be the values of x common to both the inequalities

Since the second equation starts at a much lower value than the first equation, and they are both going up, all the values for the first equation will also stand for the second equation

Hence, the value of x for the given system of equations is

x  > 1/12

2.

3x² - 7x  + 2 ≥ 0

3x² -6x -1x  + 2 ≥ 0       (splitting the middle term)

3x(x - 2) -(x - 2) ≥ 0

(3x - 1)(x-2) ≥ 0

(3x-1) ≥ 0         or     (x-2) ≥ 0

x ≥ 1/3       or    x ≥ 2

Written above are the 2 solutions for the given equation

4.

We are given that Sin α = (2√3) / 3  or 2/√3

According to the pythagorean law:

sin²α + cos²α = 1

4 / 3  + cos²α = 1

cos²α = (3-4)/3

cos²α = -1/3

cos α = √(-1/3)      or    i / √3    since √-1 is also known as i

Cosec α = 1/ Sin α

Cosec α = 1 / (2/√3)

Cosec α = √3 / 2

Sec α = 1 / cos α

Sec α = 1 /  √(-1/3)

Sec α = (√3)  / (√-1)

Since (√-1) is also known as i , we can write this as:

Sec α = (√3)  / i

Tan α = Sin α / Cos α

Tan α = (2√3 / 3) / (i / √3)

Tan α = (2√3 * √3) / 3 * i)

Tan α = 2 / i

Cot α = 1/Tan α

Cot α = 1 / (2 / i)

Cot α = i / 2

Which equation represents the graph shown?

Answers

Step-by-step explanation:

The graph is a linear equation starting at 0.

form y = mx + b.

starts at 0, so b = 0, so the 2nd and 3rd choices are incorrect.

change in y/change in x is the slope,

and you can see it goes up about 35 in the y direction for every 1 in the x, so the slope is 35.

so it's the first answer.

The linear equation of the graph is y = 35x. So, the option first is correct.

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form y = mx + b.

The graph is a linear equation origin at 0.

Since b = 0, the 2nd and 3rd choices are incorrect.

The slope = change in y/change in x

Here, we can see that it goes up about 35 in the y-direction for every 1 unit of in the x, so the slope is 35.

so the first answer is correct which is y = 35x.

Learn about linear equations here:

brainly.com/question/11897796

Solve for m.

5m+72=−2m+52

Drag and drop the answer into the box.

Answers

Answer:

m= -20/7

Step-by-step explanation:

5m+72=−2m+52

Add 2m to each side: 7m + 72 = 52

Subtract 72 from each side: 7m = -20

Divide each side by 7: -20/7

I hope this helped, please mark Brainliest, thank you!

What is the coefficient of 5a^2-7

Answers

The coefficient is 5

Answer: 5

Step-by-step explanation:

A coefficient is a number used to multiply a variable. in "5a" 5 is the coefficient.

Most major ski resorts offer family programs that provide ski and snowboarding in- struction for children. The typical classes provide four to six hours on the snow with a certified instructor. The following data are the location and the daily rate at 6 ski resorts reported on January 20, 2006. Resort Location Daily Rate Beaver Creek Colorado $137 Deer Valley Utah $115 Diamond Peak California $95 Hunter New York $79 Mount Bachelor Oregon $83 Butternut Massachusetts $108 How many variables are in the data set? ______________ Use whole number, example 3

Answers

Answer:

2

Step-by-step explanation:

Given the data:

Resort___________Location _____Daily Rate

Beaver Creek_____ Colorado______ $137

Deer Valley________ Utah_________$115

Diamond Peak______California_____ $95

Hunter____________New York_____ $79

Mount Bachelor_____Oregon______ $83

Butternut________ Massachusetts__ $108

The dataset above has two variables wgjich corresponds to the characteristic of each distinct element in the dataset. The variables are usually recognized as columns in a tabular dataset. The variables in the dataset above are :

Location and Daily rate which are attributes of each distinct Ski Resorts which corresponds to elements of the data.

how can you express ( 16+40 ) as a multiple sum of whole numbers with no common factors.

Answers

Answer:

112

Step-by-step explanation:

56*2 and then you just find a multiple that is really close to 112 and i am in 5th grade.

Answer:

Option C.  

Step-by-step explanation:

( 16 + 40 ) =

8 x 2 = 16

8 x 5 = 40

8 x ( 2 + 5 )

one third of a number is greater than one tenth of that same number by 63 what is the number​

Answers

Answer:

The answer is 270.

Step-by-step explanation:

This is the answer is because:

If you let the number be x.

x divided by 3 is equal to x divided by 10 plus 63.

x/3 = x/10 +63

So...

x divided by 3 plus x divided by 10 is equal to 63

x/3 +x/10 = 63

Then if you make a commmon denominator...

10x divided 30 plus 3x divided by 30 is equal to 63

10x/30 + 3x/30 = 63

Then...

7x divided by 30 is equal to 63

7x/30 = 63

After that...

x is equal to ( 63 * 30 ) divided by 7

x = (63*30) / 7

So...

x is equal to 9*30

x = 9*30

Finally...

x is equal to 270

x = 270

Graph the line 3x + 6y =12.

Answers

Answer: Slope=−  2.000 /1.000  =−0.500

x−intercept=  1 /4  =4.00000

y−intercept=  2 /4  =2

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x+6*y-(12)=0

Pull out like factors :  3x + 6y - 12  =   3 • (x + 2y - 4)

Solve :    3   =  0

A a non-zero constant never equals zero.

Solve   x+2y-4  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x+2y-4  = 0 and calculate its properties

Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000

 y-intercept = 4/2  =  2

When y = 0 the value of x is 4/1 Our line therefore "cuts" the x axis at x= 4.00000

 x-intercept = 4/1  =  4.00000

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.000 and for x=2.000, the value of y is 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - 2.000 = -1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -1.000/2.000 = -0.500

 Slope = -1.000/2.000 = -0.500

 x-intercept = 4/1 = 4.00000

 y-intercept = 4/2 = 2

c(n) = -6 + 5(n-1) Find the 8th term in the sequence.​

Answers

Answer:

I think it is 29

Step-by-step explanation:

-6+5((8)-1)=29

Nathan received a package for his birthday the package wait $5,910,000 milligrams select the conversions that are equivalent to 5,910,000. Mark all that apply.
59,100 kilograms
59.1 centigrams
591,000 centigrams
5.91 kilograms

Answers

Answer:

5.91 kilograms

591,000 centigrams

Step-by-step explanation:

These two are WRONG:

59,100 kilograms

59.1 centigrams

Jesse and Peyton were on scooters jesse traveled 15 in 6 seconds peyton travels 22 meters in 10 seconds who was moving faster? explain your reasoning​

Answers

9514 1404 393

Answer:

  Jesse

Step-by-step explanation:

Jesse's distance in 60 seconds would be ...

  (60 s)(15 m)/(6 s) = 150 m

Peyton's distance in 60 seconds would be ...

  (60 s)(22 m)/(10 s) = 132 m

Jesse travels farther in the same amount of time, so Jesse is moving faster.

__

You might find it simpler just to compute the rate of each.

  Jesse: (15 m)/(6 s) = 2.5 m/s

  Peyton: (22 m)/(10 s) = 2.2 m/s

Jesse's speed is higher.

Twelve decreased by twice a number equals -34. What is that number?

Answers

Answer:

12 - 2x = -34

Step-by-step explanation:

Im not entirely sure if this is correct but yeee

High Hopes^^

Barry-

Number is 23 because 12-2x=-34 is equivalent to the number 24

PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((

Answers

Answer:

28

Step-by-step explanation:

For the area, since it is 49, each side should be equal, so the sides are 7. To get perimeter, you add all the sides together, or since all four side are equal, take 7 and multiply it by 4.

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