Pls someone help me with this question

Pls Someone Help Me With This Question

Answers

Answer 1

Step-by-step explanation:

remember, i = sqrt(-1)

you know what an exponent means, right ?

it means you multiply the enclosed term that many times with itself.

when you envision this as a long chain of (1+i)/(1-i) multiplications, you can see you can group them into pairs, and then multiply these pairs - just half the times than for the single terms.

so,

((1+i)/(1-i))²⁰²⁰ = ((1+i)/(1-i))² ^ 1010

to get an idea what the result of the long chain of multiplications might be, let's start with the square and see, if we can find a pattern, that we then can use to come to a conclusion about the total result.

((1+i)/(1-i))² = (1+i)²/(1-i)²

(1+i)² = 1×1 + 1×i + 1×i + i² = 1 + 2i - 1 = 2i

(1-i)² = 1×1 - 1×i - 1×i + i² = 1 - 2i - 1 = -2i

so,

((1+i)/(1-i))² = 2i/-2i = -1

aha !

so,

((1+i)/(1-i))² ^ 1010 = (-1)¹⁰¹⁰

just to be sure you understand, we use the same trick again

(-1)¹⁰¹⁰ = (-1)² ^ 505 = 1⁵⁰⁵ = 1

as 1 to any power is always 1.

so, the right answer is A.

remember, a negative number to an even power results always in a positive number. and to an uneven/odd power in a negative number.

again, because such an exponent is only the summary of many multiplications.


Related Questions

You're a quality control manager in a fruit juice company. You want to choose
a sample size for a quality check on the cans used to package the juice. From
a batch of 30,000 cans, you want a sample size that will allow you to closely
approximate the population parameters for the entire batch. Which sample
size will most likely produce the least variability among different samples?

Answers

Answer:

246.

Step-by-step explanation:

a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78

b) The minimum sample size to achieve this is 246.

Step-by-step explanation:

We have that to find our  level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so  

Now, find the margin of error M as such

In which  is the standard deviation of the population(square root of the variance) and n is the size of the sample. So in this question,  

The lower end of the interval is the sample mean subtracted by M. So it is 99 - 0.78 = 98.22

The upper end of the interval is the sample mean added to M. So it is 99 + 0.78 = 99.78.

a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78

(b) (5 points) If we want the sampling error to be no greater than 0.5, what is the minimum sample size to achieve this based on the same confidence level with part (a)

We need a sample size of n

n is found when  

Then

Rounding up

The minimum sample size to achieve this is 246.

Find the unit rate 5 cars for 20 people

Answers

Answer:

4 people per car

Step-by-step explanation:

To find the unit rate we would have to do

20/5=4

the base of a jewelry box is a square with a side length of 5 1/2 inches. the box is 2 inches high. what is the volume of the box?

Answers

The volume of the jewelry box is 60 1/2 cubic inches.

The area of a square with a side length of 5 1/2 inches can be found by multiplying the length of one side by itself, giving:

Area = (5 1/2) × (5 1/2) = 30 1/4 square inches

The height of the box is 2 inches.

Therefore, the volume of the jewelry box can be found by multiplying the area of the base by the height of the box, giving:

Volume = Area x Height = (30 1/4) × 2 = 60 1/2 cubic inches

Thus, the volume of the jewelry box is 60 1/2 cubic inches.

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A bag contains 30 ping-pong balls, each with a different number written on it from 1 to 30. What is the probability of selecting a ball with a number that is less than 13?

Answers

Answer:

...

Step-by-step explanation:

Answer:

so you have a 40% chance or 2/5 chance

Step-by-step explanation:

30 numbers in total

12 are less than 13

so you have a 12/30

simplify

2/5 = 0.4 or 40%

HELP WITH THIS PLEASEEEE

Answers

Answer:

1) G

2) B

3) I

4) H

Step-by-step explanation:

Perimeter of a triangle formula:

P = a + b + c

1)

P = x + 6 + 3x + 2 + 2x + 4

P = 6x + 12

2)

P = 6x + 4 + 7x + 1 + 5x + 7

P = 18x + 12

3)

P = 4x - 3 + 3x + 5x - 6

P = 12x - 9

4)

P = 6x - 8 + 3x + 7 + 5x - 3

P = 14x - 4

3. Find the area of the trapezoid.
(1 point)
14.5 cm
1
8 cm
19.5 cm
68 cm
O 136 cm
214 cm
268 cm
4. The radius of

Answers

I think it’s the 5th one

What is the equation used to find the nth term of the arithmetic sequence:
-8, -5 -2, 1, 4

Answers

Answer:

        aₙ = 3n - 11

Step-by-step explanation:

The equation of the nth term of the arithmetic sequence is: [tex]a_n =a_1+d(n-1)[/tex]

d = -5 - (-8) = - 5 + 8 = 3

a₁ = -8

Therefore:

               [tex]a_n =-8+3(n-1)\\\\a_n =-8+3n-3\\\\a_n =3n-11[/tex]

What is the length of AC?

Answers

Answer:

2nd option

;)

I did this before-

Step-by-step explanation:

A circle has a radius of 8 centimeters. The measure of the arc of the
shaded region is 72º. Which is closest to the area of the shaded section
of the circle?
1. 40.2 2. 160 3. 50.3 4. 10.1 ???

Answers

Answer: 10.1

Step-by-step explanation:

Find the area of the shaded figure

Answers

Answer:

its 56 units square.

Step-by-step explanation:

(count the tiles in the shaded figure, you'll get the area)

7th grade simple solutions math 85-88

Answers

Answer:

-3 85-88 lets turn that around 88-85 is 3 but the problem is 85-88 so its -3

Step-by-step explanation:

Answer:-3 (88-85=3

Step-by-step explanation:

Plz help me solve and show your work.

Answers

Hi there!

[tex]\large\boxed{h = \frac{15x}{y}}[/tex]

Recall the volume of a pyramid is:

V = 1/3(bh)

We are given the volume and side length of the base. Find the area of the base:

A = s²

A = (5xy²)² = 25x²y⁴

Plug in the solved for base:

125x³y³ = 1/3(25x²y⁴)h

To isolate for h, begin by multiplying both sides by 3:

375x³y³ = (25x²y⁴)h

Divide both sides by 25x²y⁴. Use the following exponent property:

xᵃ / xᵇ = xᵃ⁻ᵇ

Thus:

375x³y³ / 25x²4⁴ = 15x/y.

The height must be equal to:

[tex]h = \frac{15x}{y}[/tex]

g(n) = -72*(1/6)^n-1 complete the recursive formula

Answers

The recursive formula for g(n) is:

g(1) = -72 (base case)

g(n) = [tex]g(n-1) \times (-1/6)[/tex] (for n > 1)

A recursive formula is a formula that defines a sequence or function by expressing each term in terms of one or more previous terms.

It is a way of defining a sequence or function iteratively, where each term or value depends on the previous terms or values.

To find the recursive formula for [tex]g(n) = -72\times (1/6)^{(n-1)} ,[/tex]   we need to express the function in terms of its previous term, g(n-1).

Notice that g(n) can be obtained by multiplying g(n-1) by -1/6.

This is because:

[tex]g(n) = -72\times (1/6)^{(n-1)}[/tex]

[tex]g(n-1) = -72\times (1/6)^{(n-2) }[/tex]

So we can write:

[tex]g(n) = g(n-1) \times {(-1/6) }[/tex]

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helpp!!! i need help with this!

Answers

Answer:

51

Step-by-step explanation:

The two tangent lines can be set equal to each other

10x - 19 = 4x + 23

Solve for x

10x - 19 = 4x + 23

-4x         -4x

6x - 19 = 23

    +19    +19

6x = 42

6       6

x = 7

Plug in x and solve for FE

10x - 19 = 10(7)-19 = 51

Can I Sign in for free I'm a student so I don't know how to log in please help me I would appreciate your service thank you!

Answers

Answer:

you have to create an account which should be pretty easy to find and just use your personal email!

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation

You are signed in right now????

Solve for x.
(x - 12)
2x
51

Answers

Answer:

114

Step-by-step explanation:

144 is the answer I think

1
y>
5x + 3

What is the y-intercept
(xy)

What is the slope

Will the line be solid or dotted

Answers

Given:

The inequality is:

[tex]y>5x+3[/tex]

To find:

The y-intercept, slope and type of line (solid or dotted).

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]            ...(i)

Where, m is the slope and b is the y-intercept.

We have,

[tex]y>5x+3[/tex]

The relation equation is:

[tex]y=5x+3[/tex]             ...(ii)

On comparing (i) and (ii), we get

[tex]m=5[/tex]

[tex]b=3[/tex]

It means the slope is 5 and the y-intercept is 3.

The sign of the inequality in the given inequality is ">". It means the boundary line is not included in the solution set. So, the boundary line is a dotted line.

Therefore, the slope is 5, the y-intercept is 3 and the line is a dotted line.

This box is 3/4 inch long, 1/2 inch wide, and 1/4 inch deep. What is the volume of the box?
A: 3/16 inch ^3
B: 3/8 inch ^3
C: 3/32 inch ^3
D: 1 1/2 inch ^3

Answers

The volume of the box is 3/32 inch³. The correct option is C: 3/32 inch ^3

Calculating Volume

From the question, we are to determine the volume of the box

The volume of a box is given by the formula,

V = l × w × h

Where V is the volume

l is the length

w is the width

h is the height or depth

From the given information,

l = 3/4 inch

w = 1/2 inch

h = 1/4 inch

Thus,

Volume of the box = 3/4 × 1/2 × 1/4

Volume of the box = 3/32 inch³

Hence, the volume of the box is 3/32 inch³. The correct option is C: 3/32 inch ^3

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find the measure of the angle ​

Answers

Answer:

95

Step-by-step explanation:

Answer:

95°

Step-by-step explanation:

it is five away from  90° so 95°

Give Brainllest plz

In 2000 there were about 2172000 farms in the United States twenty four thousand of the farms were in South Carolina what percent of the farms were in South Carolina

Answers

Answer:

the percentage of the farms were in SOuth caroline is 1.10%

Step-by-step explanation:

The computation of the percentage of the farms were in SOuth caroline is shown below:

= NUmber of farms in south carolina ÷ number of farms in united states

= 24000 ÷ 2172000

= 1.10%

Hence, the percentage of the farms were in SOuth caroline is 1.10%

We simply used the above formula so that the percentage could come

2 x + y = 25 3 x − y = 15

Answers

Answer: Yeah and ?

Step-by-step explanation:

Answer:

(15,-5)

Step-by-step explanation:

a penny is dropped from a height of 144 ft. Calculate the time between when the rock was dropped and when it landed. If we choose "down" as positive and ignore air friction, the function is h(t) = 16t^2 - 144.
answers
t = 9seconds
t = 3 seconds
t = 18 seconds
t = 10 seconds ​

Answers

Answer:

The time of fall is 9 seconds

Step-by-step explanation:

We are asked to find the time between when the penny was dropped and when it landed.

To do this, we have to start with what we are given and see how we can relate it to find what we are looking for.

From the problem, we are given the equation which represents the height which the penny travels as it falls. It is given by

[tex]h(t) = 16t^2 - 144.[/tex] ----------- equation 1

in addition to that, we are also given that h = 144ft at the end of the fall; that is, where t = t max, and h = hmax

Hence, it is safe to say that at the end of the fall, that the heigh is no more changing. This means that dh/dt = 0

We can now differentiate equation 1 above to get

h max  = 16t - 0 ------------- equation 2

recall that h max = 144

plugging the value of h max into equation 2, we have

144 = 16t

t = 9 seconds

Therefore the time of fall is 9 seconds

Answer:

t= 3 seconds

Step-by-step explanation:

I took the quiz and this is the answer

If
4x + y = 13
- y = 2
then y =

Answers

Answer:

y = 2

Step-by-step explanation:

-y = 2, that means y = opposite of 2, which is -2

Hope that helps! :)

4x + y = 13
- y = 2

y = -2

Nine students took a mathematics quiz. Their scores were 85 ,68 ,54 ,69 ,70 ,64 ,89 .77 ,71

​Find the median.

Answers

Answer:

70

Step-by-step explanation:

The median is the value that is directly in the middle of the data set.

Hope this helps :)

The median of the mathematics quiz of the nine students is M = 70

What is Median?

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

To find the median of the scores, we need to first arrange them in order from smallest to largest:

54, 64, 68, 69, 70, 71, 77, 85, 89

Since there are nine scores, the median is the middle score when they are arranged in order.

In this case, the fifth score (70) is the middle score, so the median score is 70.

Hence , the median score for the math quiz is 70

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In the triangle shown, determine Angle A to the nearest degree.
A
12 m
10 m
R
M

Answers

Answer In the diagram, a = 47 m and angle a measures. 49°. ... 71.6 m. Cos luod. Nost. I 10 hod. "tan (49) = 1/2 x=tan 249). 47 x 64.1. X A ... 2. In the triangle shown, determine LA to the nearest degree. A. 6.7 1B) 9.0 ... triangle. The slanted sides are both 12 inches long and the bottom of the pad is 8 inches long. 11. ... RM 7.2 cm.:

Step-by-step explanation:

I need help! Extra points

Answers

Question:

What is the surface area of the triangular prism?

Answer:

B) 120 square feet

Step-by-step explanation:

8 x 6 x 2.5 is equal to the surface area

120

x-3=2x-3-x
Please solve with answer and how you got the answer

Answers

Answer:

3x-3

Step-by-step explanation:

You have to combine like terms. x and 2x have the same variable, so this equals 3x, and then you subtract 3 so:

x-3=2x-3-x

    =3x-3

Which expression is equivalent to

5(3x+3)−7x?

Answers

Answer:

38x

Step-by-step explanation:

38x


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At a team meeting, 80% of the tennis team was there. If there were 12
people at the meeting, how many
people are on the team?

Answers

Answer:

15 people

Step-by-step explanation:

let x=total # of people on the team

80%=12

80/100=12/x

cross multiply

80x=1200

division property of equality (divide both sides by 80)

x=15

There are 15 people on the team.

A hexagonal aquarium needs to hold 10 gallons of water and be 24 inches tall. What should be the area of the hexagon?

Answers

Answer:

240

Step-by-step explanation:

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