Which expression is equivalent i^233? On edge

Which Expression Is Equivalent I^233? On Edge

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Remember the four basic power of i:

[tex]\begin{aligned}i^1&=i\\i^2&=-1\\i^3&=-i\\i^4&=1\end{aligned}[/tex]

We have:

[tex]i^{233}[/tex]

The trick here is to split the exponent into a number divisible by 4 plus the remainder. Notice that:

[tex]233=232+1[/tex]

And that:

[tex]232/4=58[/tex]

So, we can rewrite our exponent as:

[tex]=i^{4\cdot 58+1[/tex]

Using the properties of exponents:

[tex]=(i^4)^{58}\cdot i^1[/tex]

Since i to the fourth is simply 1:

[tex]=(1)^{58}\cdot i^1[/tex]

Simplify:

[tex]=1\cdot i^1[/tex]

Simplify:

[tex]=i[/tex]

Hence, our answer is C.


Related Questions

An isosceles triangle has an angle that measures 50° Which other angles could be in that
isosceles triangle? Choose all that apply

Answers

Step-by-step explanation:

well I don't know what the answer choices are but here's some information that could help.

all of the angles in a triangle have to add up to 180°

and isosceles triangles have at least two sides that are congruent. This also means that at least two angles have to be congruent

based on this there could be two angles that measure 50° and the last angle would measure 80°

or one angle could measure 50° and the other two angles each measure 65 degrees

just ask if you need more information

Help me out again oop

Answers

Answer:

count da squares first then triangles 12:6

Answer:

2:1

Step-by-step explanation:

12:6 simplfies to 2:1

3×-5=16 and 3×=21

the first equation is a true statement for a certain value of x.

can you explain why the second equation must also be true for the same value of x?​

Answers

Step-by-step explanation:

because we can also find out the value of x in second equation like this

3x=21

x=21/3

x=7

Answer:

We conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.

Step-by-step explanation:

Given the first equation

3x-5 = 16

solving the equation

3x-5 = 16

adding 5 to both sides

3x-5+5 = 16+5

3x = 21        ∵ 3x = 21 is the 2nd equation      

divide bothe sides by 3

3x/3 = 21/3

x = 7

Please notice that when simplifying 3x-5 = 16, the moment we reach 3x=21, we can determine that it represents the same equation.

In other words, whatever the value of x we will get, it will satisfy both equations.

Therefore, we conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.

Verification:

Consider the 2nd equation

3x = 21

Put x = 7

3(7) = 21

21 = 21

Thus, it has been validated that when we conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.

Solve the problem

3 x 5/8

Answers

Answer:

1.87500

Step-by-step explanation:

1.87500 calculator was used

What is 4,389 + 8,038

Answers

Answer:

12427

Step-by-step explanation:

Answer:

12,427

Step-by-step explanation:

A certain ceiling is made up of tiles. Every square meter of ceiling requires 10.75 tiles. A certain ceiling is made up of tiles. Every square meter of ceiling requires 10.75 tiles. What is the constant of proportionality?

Answers

Answer:

10.75 tiles per square meter

Step-by-step explanation:

Here, we want to get the constant of proportionality

From the question, we are told that every square meter needs 10.75 tiles

The constant of proportionality in this case is thus;

10.75 tiles per square meter

What is the value of iota to the power 19 + iota to the power 20

Answers

Answer:

1 - i

Step-by-step explanation:

[tex] {i}^{19} + {i}^{20} \\ \\ = {i}^{18} .i + {i}^{20} \\ \\ = {( {i}^{2} )}^{9} .i + {( {i}^{2} )}^{10} \\ \\ = {( - 1)}^{9} .i + {( - 1)}^{10} \ \\ ( \because \: {i}^{2} = - 1) \\ \\ ( - 1).i + 1 \\ \\ = - i + 1 \\ \\ = 1 - i[/tex]

HELP! WILL MARK BRAINLY EST!

Answers

Answer:

answer: B

Step-by-step explanation:

214 g = ? kg please help

Answers

Answer:

0.214 kg

Step-by-step explanation:

According to my research I believe that 214g = 0.214kg

2. The oil company wants to transport 27L/min of oil through the pipes. Find the maximum
flow of oil that can flow through the pipes (per minute) to show that this demand cannot
be met. Clearly explain how you have found the maximum flow.
D
2
A
10
4
5
8
F
6
с
17
12
B.
12
G
E

Answers

Answer:

2. The oil company wants to transport 27L/min of oil through the pipes. Find the maximum

flow of oil that can flow through the pipes (per minute) to show that this demand cannot

be met. Clearly explain how you have found the maximum flow.

D

2

A

10

4

5

8

F

6

с

17

12

B.

12

G

E

Given l || m || n, find the value of x

Answers

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

[tex]As\ we\ are\ given\ that\ l\ \parallel m\ \parallel n,\\We\ can\ tell\ that\ l \parallel n\\As\ we\ know\ that\ if\ two\ lines\ are\ parallel, then\ the\ pair\ of\ corresponding\ angles\\formed\ are\ equal.\\Hence,\\As\ (8x-17)\ and\ (4x+11)\ are\ corresponding,\ they\ are\ equal.\\Hence,\\8x-17=4x+11\\8x-4x=11+17\\4x=28\\x=28/4\\[/tex]

[tex]x=7[/tex]

A family went to a baseball game. They parked the car in a parking lot which charged​ $5. The cost per ticket was​ $21. Write an equation for the total cost of going to the baseball​ game, where y is the total cost and x is the total number of people.

Answers

Answer:

y=21x+5

Step-by-step explanation:

The canoe costs $96 for 8 hours. How much does it cost per hour?

Answers

Answer:

$12

Step-by-step explanation:

just divide 96÷8=12

Answer: 12

96/8=12

12 is the unit rate per hour

What is the solution for the system of equations shown below?

2x + y = 3
x + 1/2y = 3/2

Answers

Answer:

y=3-2x

any more help just ask :)

The record low temperature in Kansas is -40°F. The record low temperature in Florida is -2°F. What is the difference between the two states' record low temperatures?

Answers

The answer is 38 degrees. It WOULD be -38, but difference can not be negative.

What is a best estimate for 320/11
This is worth 65 points

Answers

Step-by-step explanation:

We can estimate 320/11 by using 320/10, which is 32.

Making it divide by 10 is easier as compared to 11.

Can someone please help me on this question

Answers

Answer: It's C.

Step-by-step explanation:

what is the correct answer?

Answers

Given:

The function is

[tex]f(x)=(x+3)^2(x-5)^6[/tex]

To find:

The zeros of the given function.

Solution:

The general form of polynomial is

[tex]P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}[/tex]       ...(i)

where, a is a constant, [tex]c_1,c_2,...,c_n[/tex] are zeros of respective multiplicities [tex]m_1,m_2,...,m_n[/tex].

We have,

[tex]f(x)=(x+3)^2(x-5)^6[/tex]

On comparing this with (i), we get

[tex]c_1=-3,m_1=2[/tex]

[tex]c_2=5,m_2=6[/tex]

It means, -3 is a zero with multiplicity 2 and 5 is a zero with multiplicity 6.

Therefore, the correct option is B.

Write the equation of the line passing through the points (2,-5) (3,-1)

Answers

Answer:

they give you two points... so use the point slope formula with one on the points

y - y1 = m ( x - x1)

Step-by-step explanation:

find the slope m  

m = y2 -y1 / x2-x1

from the given.. x1=2  and y1 = -5

x2 = 3  and y2 = -1     then,

m = -1 -( -5) / 3 - 2

m = 4/1

m = 4

now plug in to the point slope formula  either of the points... I'll use the 1st point

y - 2 = 4(x -(-5))

y -2 = 4(x +5)

y -2 = 4x +20

y = 4x +22  

there you go... see? :)  also why are you working on HW now.. ?? :/ isn't it winter break?

A scientist at a giant panda preserve in china measrued the length of a newborn cub as 15.5 centimeters. The cubs mother was 9.5 times as tall as the length of the cub. How tall is the mother

Answers

Answer:

The height of the mother is 147.25cm

Step-by-step explanation:

The height of the new-born panda is 15.5 centimeters.

Let the height of the mother be = x

We know from the problem that the mother is 9.5 times taller than the baby.

We can get the height of the mother by multiplying the height of the baby by 9.5.

i.e x = 9.5 X 15.5 = 147.25cm

The figure is cut into 12 equal pieces shade in 5/6 of the figure

Answers

Answer:

You would need to shade in 10 pieces out of 12.

Step-by-step explanation:

10 out of 12 shaded pieces is usually the equivalence 5/6 when it is divided by 2.

Please help:)...........

Answers

Part (a)

Answer:  x = 0

-----------------

Work Shown:

[tex]3\left(\frac{x}{7}+2\right) = 6\\\\\frac{x}{7}+2 = \frac{6}{3}\\\\\frac{x}{7}+2 = 2\\\\\frac{x}{7} = 2-2\\\\\frac{x}{7} = 0\\\\x = 7*0\\\\x = 0\\\\[/tex]

In step 2, I divided both sides by 3. In step 4, I subtracted 2 from both sides. In step 6, I multiplied both sides by 7.

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

Part (b)

Answer:  x = 3

-----------------

Work Shown:

[tex]2\left(\frac{5x}{3}-1\right) = 8\\\\\frac{5x}{3}-1 = \frac{8}{2}\\\\\frac{5x}{3}-1 = 4\\\\\frac{5x}{3} = 4+1\\\\\frac{5x}{3} = 5\\\\5x = 3*5\\\\5x = 15\\\\x = \frac{15}{5}\\\\x = 3\\\\[/tex]

The steps are fairly similar to part (a). The steps were

divide both sides by 2 (step 2)add 1 to both sides (step 4)multiply both sides by 5 (step 6)divide both sides by 5 (step 8)

One question, please help!

Answers

Answer:

k=5

Step-by-step explanation:

for every one unit on the x, the y goes up five. So, the ratio is 5:1 or five.

How do you find x in the photo below?

Answers

So you had to add them up and set them equal to 180, and then just solve from there.

find the midpoint (8, -6) (6,5)​

Answers

I think it’s (7, -0.5)

In a winter storm, the amount of snowfall is directly proportional to the time
it has been snowing. After 4 hours, a total of 7 inches of snow has fallen. Determine how many inches of
snowfall have fallen after 6 hours. Show the work that leads to your answer.

Answers

Answer:

10.5 Inches of snow after 6 hours

Step-by-step explanation:

First you would divide

7/4=1.75

Then you would multiply by 6

1.75*6=10.5

10.5 inches of snow would be the total

Hope this helped! :D

The amount of snowfall in 6 hours, if the amount of snowfall is directly proportional to the time, is 10.5 inches.

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a whole. According to the definition of proportion, two ratios are in proportion when they are equal.

Given:

In a winter storm, the amount of snowfall is directly proportional to the time,

After 4 hours, a total of 7 inches of snow had fallen,

Calculate the amount of snowfall in one hour as shown below,

amount of snowfall in one hour  =  7 / 4

Calculate the amount of snowfall that occurs in 6 hours,

Amount of snowfall in 6 hours  =  7 / 4 × 6

Amount of snowfall in 6 hours  =  10.5 inches

To know more about proportion:

https://brainly.com/question/25902593

#SPJ2

The average temperature in Lincoln in July is 85 degrees. Last Wednesday, it was 90 degrees. Today it was 15 degrees cooler than last Wednesday. What was the temperature today?

Answers

Answer:

[tex]75^{\circ}\text{F}[/tex]

Step-by-step explanation:

Last Wednesday it was 90 degrees Fahrenheit.

Today it is 15 degrees Fahrenheit colder than it was last Wednesday.

So, today's temperature will be the difference of the temperatures of last Wednesday's and today's temperature. We have to find the difference as it is colder today means it is a lower temperature than last Wednesday's.

[tex]90-15=75^{\circ}\text{F}[/tex]

Today's temperature is [tex]75^{\circ}\text{F}[/tex]

The perimeter of a circular garden is 440m. A path 1.4m runs inside the park. find the cost of gravelling the path at the rate of Rs.100 per square meter.​

Answers

Answer:

Cost = Rs. 6095.95

Step-by-step explanation:

We are given the perimeter as 440m.

Mow,perimeter of a circle is also called circumference.

Formula for circumference of a circle is;

C = 2πR

Thus:

2πR = 440

R = 440/2π

R = 70 m

We are told that A path 1.4m runs inside the park. Thus radius of smaller circle: r = 70 - 1.4 = 68.6 m

Area of larger circle: A1 = πR² = π(70²)

A1 = 4900π

Area of smaller circle: A2 = πr² = π(68.6²)

A2 = 4705.96π

Area of path = A1 - A2

Area of path = 4900π - 4705.96π

Area of path = 194.04π Sq.m

We want to find the cost of gravelling the path at the rate of Rs.100 per square meter.

Thus;

Cost = 100 × 194.04π

Cost = Rs. 6095.95

In the system of equations below, I want to eliminate the variable y.
3x + 5y = 2
6x - 10y = -16
The first step to solving this system of equations is multiplying the first equation
by a number other than -1. Which number would that be?
The answer choices are..
-2
5
-5
2
0 -5
2.

Answers

Answer:

(x,y)=(-1,1)

Step-by-step explanation:

Given that,

3x + 5y = 2   .....(1)

6x - 10y = -16  ....(2)

Finding the value of x from equation (1).

[tex]x=\dfrac{2-5y}{3}[/tex]

Put the value of x in equation (2)

[tex]6(\dfrac{2-5y}{3}) - 10y = -16\\\\2(2-5y)-10y=-16\\\\4-10y-10y=-16\\\\-20y=-16-4\\\\y=1[/tex]

Put the value of y in equation (1) :

[tex]3x + 5(1) = 2\\\\3x=2-5\\\\3x=-3\\\\x=-1[/tex]

So, the solution of the equations is (-1,1).

HELP PLEASE I GIVE A LOT OF POINTS JUST ANSWER QUICK

Answers

Answer:

See answers below (and image for functions)

Step-by-step explanation:

g(x) = (3)^5x is a horizontal compression

h(x) = 4(3)^x is a vertical stretch since |a|>1

p(x) = 1/2(3)^x is a vertical compression since 0<|a|<1

w(x) = 3^0.2x is a horizontal stretch

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