Why does i^3= -i
I know i is square root -1 but I don't know how i^3= -i

Answers

Answer 1

Answer:

i³ = -i

Step-by-step explanation:

i³ can be rewritten as i² · i

i² = -1

-1 · i = -i

Hope this helps!


Related Questions

PLEASE HELP
Henry bought snacks for his team's practice. He bought a bag of chips for $2.25 and a 5-pack of juice bottles. The total cost before tax was $9.95. How much was each bottle of juice?

Answers

1,54 is each bottle of juice

The bag of chips for $2.25 and a 5-pack of juice bottles each bottle of juice costs $1.54.

Let's break down the information given in the problem:

Henry bought a bag of chips for $2.25.

He also bought a 5-pack of juice bottles.

The total cost before tax was $9.95.

Let's represent the cost of each bottle of juice as "x" dollars.

The total cost of the chips and the juice bottles is given as $9.95. So, we can write the equation:

Cost of chips + Cost of 5 juice bottles = Total cost

$2.25 + 5x = $9.95

Now, we can solve for the value of "x" (the cost of each bottle of juice):

5x = $9.95 - $2.25

5x = $7.70

Dividing both sides by 5:

x = $7.70 / 5

x = $1.54

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What happens to the energy after cellular respiration? What happens to the carbon dioxide and water?

Answers

Answer:

Through the process of cellular respiration, the energy in food is converted into energy that can be used by the body's cells. During cellular respiration, glucose and oxygen are converted into carbon dioxide and water, and the energy is transferred to ATP.Step-by-step explanation:

pls help me to answer this​

Answers

Answers:

Part 1

16. Nominal

17. Nominal

18. Nominal

19. Nominal

20. Nominal

21. Continuous

22. Continuous

23. Continuous

24. Continuous

25. Continuous

Part 2

26. Discrete

27. Continuous

28. Discrete

29. Discrete

30. Ordinal

31. Ordinal

32. Nominal

33. Ordinal

34. Ordinal

35. Nominal

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

Explanation:

A nominal variable is one where usually a name is attached to it, instead of a number. Something like "mood" is nominal because it takes on the options of "happy", "sad", "angry", etc which are all non-numeric names. We can't do math on them. The same goes for colors, blood type, dog breed, nationality, and month names.

An ordinal variable is one where we can rank the names but we can't exactly do math on them. An example of this would be pain severity (from "no pain" to "in extreme pain") since we can rank and order the pain levels in a natural order. Another example is satisfcation rating, rank in class, and clothing sizes.

A discrete variable is one that takes on finitely many values between two endpoints. Usually (but not always) discrete values are whole numbers. When it comes to counting the number of people or objects, we turn to a discrete variable. With discrete variables, it doesn't make sense to have a midpoint between say 1 and 2 because we cannot have 1.5 of a person.

A continouous variable is one where we can pick any real number in a given interval. Midpoints make sense here now because we can select the midpoint of say 1 and 2 to get 1.5; an example of a continuous variable is someone's height, wind speed, water temperature, or the voltage of electricity.

One sample has ss = 60 and a second sample has ss = 48.

if n = 7 for both samples, find each of the sample variances, and calculate the pooled variance. because the samples are the same size, you should find that the pooled variance is exactly halfway between the two sample variances

Answers

The pooled variance of the samples estimates the weighted variance of the samples

The pooled variance is 2952

How to calculate the pooled variance?

The given parameters are:

Sample 1:

n = 7

ss = 60

Sample 2:

n = 7

ss = 48

The pooled variance is calculated using:

Sp = [SS1^2 *(n1 - 1) + SS2^2 *(n2 - 1)]/[(n1 - 1) + (n2 - 1)]

So, we have:

Sp = [60^2 *(7 - 1) + 48^2 *(7 - 1)]/[(7 - 1) + (7 - 1)]

Evaluate the expression

Sp = 2952

Hence, the pooled variance is 2952

Read more about pooled variance at:

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NEED HELP ASAP!!! GIVING BRAINLIEST+20 POINTS TO B4ST ANSWER FOR THESE 2 QUESTIONS!! YOU CAN DO IT! :D


1. Solve two thirds times two thirds.

1.two ninths

2.two sixths

3.four ninths

4.four over one



2. Matt is painting a mural on a 1-square meter section of a wall. He has completed a rectangular part of the mural that is four sixths of a meter wide and two fifths of a meter tall. What part of the mural has been completed?

1. four fifths
2. eight sixths
3. six elevenths
4. eight thirtieths

Answers

Answer:

See below ↓↓

Step-by-step explanation:

1.

2/3 x 2/3Numerator (N) = 2 x 2 = 4Denominator (D) = 3 x 3 = 9Fraction = N/D = 4/9⇒ 3. four ninths

2.

Area completed = 4/6 x 2/5Numerator (N) = 4 x 2 = 8Denominator (D) = 6 x 5 = 30Fraction = N/D = 8/30 ⇒ 4. eight thirtieths

Explanation:

[tex]\bold{two \ third \ refers \ to }\ \ \boxed{\sf \frac{2}{3}}[/tex]

[tex]\hookrightarrow \sf \dfrac{2}{3} *\dfrac{2}{3}[/tex]

[tex]\hookrightarrow \sf \dfrac{2*2}{3*3}[/tex]

[tex]\hookrightarrow \sf \dfrac{4}{9}[/tex]

answer: four ninths

2nd

area of the finished part:

Length * Width

[tex]\hookrightarrow \sf \dfrac{4}{6} * \dfrac{2}{5}[/tex]

[tex]\hookrightarrow \sf \dfrac{4*2}{6*5}[/tex]

[tex]\hookrightarrow \sf \dfrac{8}{30}[/tex]

answer: eight thirtieths


Is there any bias in the following survey question? Explain.
Do you prefer delicious chocolate ice cream or boring vanilla ice cream?

Answers

Answer:

yes this contains bias.

Step-by-step explanation:

the person who wrote the question included their own opinion which makes the question bias

Yes, the survey question that is delicious chocolate ice cream or boring vanilla ice cream bias.

What is bias?

Bias in statistics, is a term defines "the tendency of measurement process".

According to the question,

The survey is about, you prefer delicious chocolate ice cream or boring vanilla ice cream.

In order to find is this survey is biased.  Yes, the survey is biased .

Because the surveyor insists his/her own opinion in the survey by using the word 'boring' vanilla.

Hence, survey question is bias.

Learn more about bias here

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The volume of 1000 drops of a liquid is 1 fluid ounce. What is the volume of 10 drops

Answers

Answer:

[tex]0.01\ ounce[/tex]

Step-by-step explanation:

Step 1:  Determine the volume of 10 drops

[tex]1\ ounce / 1000\ drops[/tex]

[tex]0.001\ ounce/drop[/tex]

[tex]0.001\ ounce/drop * 10\ drops[/tex]

[tex]0.01\ ounce[/tex]

Answer:  [tex]0.01\ ounce[/tex]

Answer:

The volume of 10 drops of a liquid is 0.1 fluid ounce.

Step-by-step explanation:

I hope this will help you

0=x^2+2x-11 solve by completing the square

Answers

Answer:

Below in bold.

Step-by-step explanation:

x^2 + 2x- 11 = 0

x^2 + 2x = 11

x^2 + 2x + 1 = 11 + 1

(x + 1)^2 = 12

x + 1 = ±√ 12

x = -1  ± √12

= -4.464, 2.464 to the nearest thousandth.

Lastttt Ooonnneeeee!!! Thank you guys so much for all your helpppp!!

Answers

Answer:

[tex]=12\sqrt{15} -40\sqrt{5}\\[/tex]

Step-by-step explanation:

[tex](2\sqrt{10} )(3\sqrt{6} -5\sqrt{8} )=(2\sqrt{10} )(3\sqrt{6} )-(2\sqrt{10} )(5\sqrt{8} )[/tex]

[tex]=6\sqrt{60} -10\sqrt{80}[/tex]

[tex]=6\sqrt{4(15)} -10\sqrt{16(5)}[/tex]

[tex]=6(2)\sqrt{15} -10(4)\sqrt{5}[/tex]

[tex]=12\sqrt{15} -40\sqrt{5}[/tex]

Hope this helps

Solve for x
12
(x + 2)/
B
O 14
O 10
12
06

Answers

Answer:

opposite sides of ||gram are equal and parallel therefore

12=x+2

12-2=x

10=x

pls mark as brainliest

There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 1 blues?

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

As you can see, there are 3 blue marbles, and the amount in total is 12, so the answer is 3/12. 3/12 simplified is 1/4.

Hope This Helps! :) Please give brainliest if you can!

Which of the triangles shown are scalene triangles?

A group of triangles. Triangle A has three acute angles and two equal sides. Triangle B has two acute angles, one ninety degree angle, and two equal sides. Triangle C has three acute angles and two equal sides. Triangle D has two acute angles and one obtuse angle. All the sides on this triangle are different lengths.

Answers

The triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.

What is a Scalene Triangle?

A scalene triangle is a triangle whose three angles are unequal and also has three unequal sides.

This means that any two sides or two angles of a scalene triangle must not be equal.

Thus, the triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.

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9/18+1/3 calculator doesn’t have it pls help

Answers

Answer:

5/6

Step-by-step explanation:

9/18 + 1/3

Convert 1/3 to match 9/18:

1/3 = 6/18

1 * 6 = 6

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

3 * 6 = 18

6/18

9/18 + 6/18

15/18

Find the GCF of 15 and 18:

15

1, 3, 5, 15

18

1, 2, 3, 6, 9, 18

Divide:

15 ÷ 3

-------

18 ÷ 3

5/6 <== final answer

Hope this helps!

Help PLEASE

(explanation included please.)

Answers

Answer:

x =  12.714

Step-by-step explanation:

Vertical angles sum to 180 degrees

8x-12     + 6x + 14 = 180

   solve for x = 12.714

What is the SECOND STEP to solve this equation?

3x+2=17
Question 6 options:

Add 2 to both sides


Subtract 2 from both sides


Multiply both sides by 3


Divide both sides by 3

Answers

Answer:

Step-by-step explanation:

subtract 2 from both sides

Answer:

divide both sides by 3

Step-by-step explanation:

The function g(x) = (3-2). The function f(x) = g() +3.
The function f() is shifted horizontally
2 units to the left of g(3).
The function f() is shifted vertically

Answers

Answer:

Step-by-step explanation:

The answer

g(3)=3−23⋅(3)=3−2=1

Explanation:

show that

g(x)=3−23x

for g(3)g(3)=3−23⋅(3)=3−2=1

May I get help on these questions, please?

Answers

hello! here are the basic rules that you need to know to solve these problems:

a diameter is 2 × the radius
the circumference rule is 2×π×radius

I will solve the first question to show how to format.

1: 5/2=2.5
2×2.5×π=5×π=15.7

Calculate the perimeter of the shape below. Show your work,

Answers

Answer:

68 is the perimeter.

Step-by-step explanation:

You can find the perimeter by adding up all of the sides. 13 + 11 + 3 + 7 = 34. To find the other sides of the shape you do 11 + 7 and 13 + 3. 11 + 7 = 18. 13 + 3 = 16. 18 + 16 = 34. 34 + 34 = 68.

Which inequality has the graph shown below?

Answers

Answer:

Its A.

Step-by-step explanation:

Here is the graph for A

Please Help and explain
Im not to sure how to do this

Answers

Answer:

I think the answer is C

Step-by-step explanation:

A rectangular pool is 10 meters wide and 16 meters long.What is the area of the pool? What is asked?What are given?What is/are the operations to be used?What is the number sentence?What is the answer?​

Answers

Answer:

A=160 m

Solution:The formula for the Area of a rectangle is:A=LWIn the above formula, L stands for the length and W stands for the width.We are given:L=16 mW=10 mWe are asked to find the area of the rectangular pool.The operation that we're going to use here is:Multiplication.Multiply:A=16*10A=160 m

Hope it helps.

Do comment if you have any query.

What is the area of the pool?

- area: 160 m²

What is asked?

- Asked to find the area of the rectangular pool.

What are given?

- Given with width of the pool is 10 metres and length is 16 metres.

What is/are the operations to be used?

- multiplication

What is the number sentence?

- 10 * 16

What is the answer?​

- area: 160 m²

Additional ===========

area of rectangle = Length * Width

A dart hits the circular dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular region. The radius of the dartboard is 13in, and the radius of the shaded region is 4in.

Use the value 3.14 for π. Round your answer to the nearest hundredth.

Answers

Answer:

The first thing you need to do is:you have a square whose area is 11^2 = 121 square inches.then we are going to multiply the radius to the PI which is 3.14 the area of the circle with radius 4 is equal to 3.14 * 4^2 = 3.14 * 16 = 50.24you need to divide the calculated radius times pi (3.14) you can get the answer and you need to round your answer to the nearest hundredththe probability that the dart will hit within the circle is equal to 50.24 / 121 = 0.4152066116 which is rounded to .04152 or 41.52%this assumes the dart will always hit the square at least.

Step-by-step explanation:

Pls help !!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D. Rhombus.

Step-by-step explanation:

This will be a quadrilateral with 4 equal sides.

The oppsoite angles will be equal   but they will not be 90 degrees as each triangle of the 3 dimensional figure is an equilateral triangle.

Therfore the cross section is a rhombus.

each row in the table below shows one possible set of angle measurements for this drawing

find the missing angle measurements​

Answers

Applying the definitions of angles on a straight line and vertical angles, the missing angle measurementts are given in the table atached below.

What are Angles on a Straight Line?

Angles found on a straight line equals 180 degrees.

What area Vertcial Angles?

Vertical angles are congruent angles that lie directly opposite each other.

Second Row:

m∠LGK = 45° (given in the diagram)

m∠IGH = 35° (given in the table)

m∠KGJ = m∠IGH (vertical angles)

m∠KGJ = 35°

m∠JGI = 180 - m∠KGJ (angles on a straight line)

m∠JGI = 180 - 35 = 145°

m∠HGL = 180 - m∠LGK - m∠IGH (angles on a straight line)

m∠HGL = 180 - 45 - 35 = 100°

Third Row:

m∠LGK = 45° (given in the diagram)

m∠HGL = 97° (given in the table)

m∠KGJ = 180 - m∠HGL - m∠LGK (angles on a straight line)

m∠KGL= 180 - 97 - 45 = 38°

m∠JGI = 180 - m∠KGJ (angles on a straight line)

m∠JGI = 180 - 38 = 142°

m∠IGH = m∠KGL (vertical angles)

m∠IGH = 38°

Thus, applying the definitions of angles on a straight line and vertical angles, the missing angle measurementts are given in the table atached below.

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Sandro plans to travel to work by train on 20 days next month. He can buy a monthly ticket costing £262 or 20 separate tickets costing £15.70 each ticket. What percentage of the total cost of 20 separate tickets does Sandro save by buying a monthly ticket? Give your answer correct to 1 decimal place.

Answers

20 separate tickets in total costs £314.

Now we should find out what percentage 262 is of 314.

262÷314×100=83.4%

if 262 is 83.4% of 314, then Sandro saves (100%-83.4%) 16.6%.

ANSWER 16.6%

qartveli xar mgoni dd

the circumference of a circle exceeds the diameter by 60 cm. Find the radius of the circle.

Answers

Answer:

14 cm

Step-by-step explanation:

hope this helps :)

What is the surface area of this triangular pyramid?

Answers

Area of one face = 1/2 x base x height = 1/2 x 5 x 3 = 7.5 square inches.


there are 3 of those faces : 7.5 x 3 = 22.5 square inches.


the bottom triangle = 1/2 x 5 x 4.3 = 10.75 square inches


total surface area = 22.5 + 10.75 = 33.25 square inches

For each diagram below, write and solve an equation for x .

Answers

Answer:

x = 100 , x = 3

Step-by-step explanation:

(a)

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 , then

sum = 180° × 3 = 540°

sum the angles and equate to 540

x + x + 125 + 125 + 90 = 540 , that is

2x + 340 = 540 ( subtract 340 from both sides )

2x = 200 ( divide both sides by 2 )

x = 100

(b)

the 2 given angles are alternate exterior angles and are congruent , then

6x + 18 = 2x + 30 ( subtract 2x from both sides )

4x + 18 = 30 ( subtract 18 from both sides )

4x = 12 ( divide both sides by 4 )

x = 3

 

50 divided by 0.25 With solution.

Answers

Answer:200

Step-by-step explanation:

50x100/0.25x100 (to make it into non decimal no.)

5000/25=200

[tex]\dfrac{50}{0.25}\\\\\\=\dfrac{50}{\tfrac{25}{100}}\\\\\\=50 \times \dfrac{100}{25}\\\\\\=2 \times 100\\\\\\=200[/tex]

Question is in the pic below ;)))

Answers

Answer:

the first one

Step-by-step explanation:

1 x -4 = -4

3 x -4 = -12

and so on

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