When cubing a complex number using De Moivre's theorem, there are three
answers.

A. True
B. Fase

Answers

Answer 1

Answer: false :))

Step-by-step explanation: just answered and i was correct ^^


Related Questions

Tell whether the angles are adjacent or vertical. Then find the value of x.​

Answers

Answer:

#3 is 74 and adjacent #4 is 29 and adjacent  #5 is 48 and vertical

Step-by-step explanation:

just trust me i had the same questions

Marking brainliest pls help!!!!

Answers

Answer:

He would recognize Lincoln's accomplishments which a good amount was about his documents like the Emancipation document.

Step-by-step explanation:

Also, he did his "I have a dream" speech on the Lincoln Memorial.

A rep hockey team has two goalies. Goalie A has a save percentage of 0.92 and Goalie B has a save percentage of 0.89. If goalie A plays 75 percent of the games and goalie B plays 25 percent of the games then: a) Determine the probability that a save has been made by either goalie A or goalie B. b) If a save has been made, what is the probability that is was goalie A? c) If a goal was let in, what is the probability it was goalie B?

Answers

Answer:

a) 0.9125

b) 0.756

c) 0.314

Step-by-step explanation:

The save percentage of Goalie A = 0.92

The save percentage of Goalie B = 0.89

The percentage of the games Goalie A plays = 75 percent

The percentage of the games Goalie B plays = 25 percent

a) The probability that a save has been made by either Goalie A or Goalie B

Therefore we get;

The probability that Goalie A made a save, P(A) = 0.92 × 0.75 = 0.69

The probability that Goalie B made a save, P(B) = 0.89 × 0.25 = 0.2225

For mutually exclusive events, we have;

P(A) or P(B)  = P(A) + P(B)

∴ P(A) or P(B) = 0.69 + 0.2225 = 0.9125

The probability that a save has been made by either Goalie A or Goalie B, P(A) or P(B) = 0.9125

b) Where there are 10,000 attempts, made evenly in all games, we have;

The number of attempts made with Goalie A playing = 10,000 × 0.75 = 7,500

The number of saves Goalie A makes = 0.92 × 7,500 = 6,900

The number of saves for 10,000 attempt = (P(A) or P(B)) × 10,000 = 0.9125 × 10,000

The number of saves for 10,000 attempt = 9,125

∴ The probability that Goalie A saves = 6,900/9,125 ≈ 0.756

c) Out of the 2,500 attempts at Goalie B, the number of goals let in is given as follows;

P(Goal B) = 2,500 - 2,500 × 0.89 = 275

The number of goals let in by Goalie A, we have;

P(Goal A) = 7,500 - 7,500 × 0.92 = 600

Therefore, the total number of goals let in = 300 + 275 = 875

The probability that the goals was let in by Goalie B = 275/875 = 11/35 ≈ 0.314.

When using the quadratic formula to solve 7x2 – 3x + 2 = 0, which number will be squared as part of the formula?

Answers

Answer:

The value of b will be squared

Step-by-step explanation:

Recall that the quadratic formula is [tex]x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a}[/tex]

You will see that the only squared coefficient is b.

Trish had a square garden with side lengths of 8 feet. She expanded her garden to 10 feet by 8 feet. By how many square feet did she expand the area of her garden?

Answers

Answer:

[tex]16\:\mathrm{ft^2}[/tex]

Step-by-step explanation:

Trish's initial garden had an area of [tex]8\cdot8=64\:\mathrm{ft^2}[/tex]. After expanding her garden to be 10 feet by 8 feet, the garden has an area of [tex]8\cdot 10=80 \:\mathrm{ft^2}[/tex]. Therefore, the garden was expanded by [tex]80-64=\boxed{16\:\mathrm{ft^2}}[/tex]

Find
[tex] \frac{dy}{dx} [/tex]
if
[tex]y = (x + \sqrt{x} )^{2} [/tex]

Answers

Answer:

[tex]\displaystyle y' = 2x + 3\sqrt{x} + 1[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsAnything to the 0th power is 1Exponential Rule [Rewrite]:                                                                              [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex] Exponential Rule [Root Rewrite]:                                                                     [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = (x + \sqrt{x})^2[/tex]

Step 2: Differentiate

Chain Rule:                                                                                                        [tex]\displaystyle y' = 2(x + \sqrt{x})^{2 - 1} \cdot \frac{d}{dx}[x + \sqrt{x}][/tex]Rewrite [Exponential Rule - Root Rewrite]:                                                     [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}})^{2 - 1} \cdot \frac{d}{dx}[x + x^{\frac{1}{2}}][/tex]Simplify:                                                                                                             [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}}) \cdot \frac{d}{dx}[x + x^{\frac{1}{2}}][/tex]Basic Power Rule:                                                                                             [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}}) \cdot (1 \cdot x^{1 - 1} + \frac{1}{2}x^{\frac{1}{2} - 1})[/tex]Simplify:                                                                                                             [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}}) \cdot (1 + \frac{1}{2}x^{-\frac{1}{2}})[/tex]Rewrite [Exponential Rule - Rewrite]:                                                              [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}}) \cdot (1 + \frac{1}{2x^{\frac{1}{2}}})[/tex]Multiply:                                                                                                             [tex]\displaystyle y' = 2[(x + x^{\frac{1}{2}}) + \frac{x + x^{\frac{1}{2}}}{2x^{\frac{1}{2}}}][/tex][Brackets] Add:                                                                                                 [tex]\displaystyle y' = 2(\frac{2x + 3x^{\frac{1}{2}} + 1}{2})[/tex]Multiply:                                                                                                             [tex]\displaystyle y' = 2x + 3x^{\frac{1}{2}} + 1[/tex]Rewrite [Exponential Rule - Root Rewrite]:                                                     [tex]\displaystyle y' = 2x + 3\sqrt{x} + 1[/tex]

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

y = kx
In the equation, what does "k" represent?

Answers

Answer: it’s the number that stays the same

Step-by-step explanation: ex. y = 24(6x)

Answer: K is the constant.

simplify 4 -2y + (-8y) + 6.2

Answers

Answer:

-10y+10.2

hope this helps

have a good day :)

Step-by-step explanation:

Rewrite in simplest terms:

10 (7g - 9h) -4h - 8 (-8 +8g)

Answers

Answer:

=6g + −94h + 64

Step-by-step explanation:

Let's simplify step-by-step.

10(7g−9h)−4h−8(−8+8g)

Distribute:

=(10)(7g)+(10)(−9h)+−4h+(−8)(−8)+(−8)(8g)

=70g+−90h+−4h+64+−64g

Combine Like Terms:

=70g+−90h+−4h+64+−64g

=(70g+−64g)+(−90h+−4h)+(64)

=6g + −94h + 64

Answer:

your answer is 6g-94h+64

Step-by-step explanation:

1. 10 (7g - 9h) -4h - 8 (-8 +8g)

2. 70g-90h-4h+64-64g

3. 6g-94h+64

Meliah wants to make a gallon of punch. She uses 2 quarts of orange juice, 1 cup of lemon juice, and 2 1/2 pints of pineapple juice. How many cups of water should she add to make 1 gallon?

Answers

Answer:

2 cups of water

Step-by-step explanation:

Meliah wants to make a gallon of punch.

Note that

1 gallons = 16 cups

For Orange juice

She uses 2 quarts of orange juice,

1 quart = 4 cups

2 quarts = x

Cross Mulitiply

2 × 4 cups = 8 cups

For lemon juice

1 cup of lemon juice

For pineapple juice

2 1/2 pints of pineapple juice.

1 pint = 2 cups

2 1/2 pints = x

Cross Mulitiply

2 1/2 × 2 cups = 5 cups

Total number of cups

= 8 cups orange juice + 1 cup lemon juice + 5 cups of pineapple juice

= 14 cups

Hence, the number of cups of water she should add to make 1 gallon is calculated as:

16 cups - 14 cups

= 2 cups of water

Find an equation of the circle that has center (-2, 6) and passes through (-6, 1).

Answers

Answer:

(x+2)^2 + (y-6)^2 = 41

Step-by-step explanation:

The equation for a circle is (x-h)^2+(y-k)^2=r^2

So first, it is known that the circle's center is at (-2,6), Therefore, this can be filled in:

(x+2)^2+(y-6)^2=r^2

Next, we need to find the radius, and one of the points is already known, being (-6, 1)

With this, find the distance between these two points by doing the Pythagorean Theorem, a^2+b^2=c^2. The a^2 would be the x value changed and the b^2 would be the y value changed between the two numbers. Note that this is interchangeable.

To find a:

-2 to -6 = change of 4

To find b:

6 to 1 = change of 5

Next, write out the equation for this:

4^2+5^2=c^2

16+25=c^2

41=c^2

c = √41

The radius would be √41, so the equation can now be completed. Since c will be brought to the second power, this will cancel out the square root.

(x+2)^2 + (y-6)^2 = 41

Hope that helps.

PLEASE HELP...FAST :)!!
You are playing a game similar to shuffleboard, where you need to slide a puck into the light gray area of the board in order to score points. The board is surrounded by wood boards that keep the puck in the playing surface. An image of the board and its dimensions are shown below.


What is the probability that you slide the puck into the light gray area? Your answer may be written as a fraction or a decimal


The probability is ________________

Answers

The probability that one can slide the puck into the light gray area will be 0.72.

How to calculate the probability?

From the information given, the board is surrounded by wood boards that keep the puck in the playing surface.

In this case, the probability that you slide the puck into the light gray area will be:

= 4feet/(4 feet + 1.5 feet)

= 4/5.5

= 0.72

Learn more about probability on:

https://brainly.com/question/24756209

#SPJ2

Mr. Jones surveyed his class to find out how many students feel that Math is their favorite subject. Based on these results, how many students would say that Math is their favorite subject if he asked all 150 students in the 6th grade class.​

Answers

Answer:

im not sure

Step-by-step explanation:

I remember doing this but i forget

What is the area of triangle ABC?

Answers

9514 1404 393

Answer:

  C.  36√3 square units

Step-by-step explanation:

Your knowledge of special triangles tells you that height CD is ...

  CD = 6√3

so the area is ...

  A = 1/2bh

  A = 1/2(12)(6√3) = 36√3 . . . . square units

_____

Additional comment

The 30°-60°-90° right triangle that is half an equilateral triangle has a short side equal to half the length of the long side. The Pythagorean theorem tells you that the middle-length side is √(2²-1²) = √3 times the shortest side. That is, the side length ratios in this "special" triangle are ...

  1 : √3 : 2

This means the length DB is 12/2 = 6, and the length CD is 6√3.

SUPER CONFUSED! EXPLAIN PLS! EMERGANCY!

Answers

Answer:

73.12m²

Step-by-step explanation:

Okay, you can break this figure into a half-circle and a triangle, we're going to start with the triangle (using the handy formula sheet you have up there)

12 x 8 = 96

96 x ½ = 48

Now we do the semicircle (the formula for a circle is pi x radius² )

the radius is half of the diameter so:

8 ÷ 2 = 4

4² = 16

we're using 3.14 for pi so:

3.14 x 16 = 50.24

Now we'd normally stop there, but this is only a semicircle, so we have to chop it in half again:

50.24 ÷ 2 = 25.12

Now we add both of those together:

48 + 25.12 = 73.12‬

So the area of the figure is 73.12m²

hope this helps:)

PLS HELP!!!!!!
What is the solution of the system shown?
0 (2, 2)
O (2,3)
O (3,2)

Answers

Answer:

(3,2)

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

Which statement describes graph

Answers

Answer:

Step-by-step explanation:

There are no statements here

Which expression is equivalent to a2 + 2a – 8?
A. (a + 2)(a – 4)
O B. (a + 1)(a – 8)
o C. (a - 1)(a + 8)
D. (a + 4)(a - 2)

Answers

Answer:

D

Step-by-step explanation:

(a+4)(a-2)=a^2+2a-8

a*a=a^2

a*(-2)=-2a

a*4=4a

4*(-2)=-8

a^2-2a+4a-8=a^2+2a-8

What is 5x-3 equal to

Answers

Answer:

-15

Step-by-step explanation:

Answer:

-15 hdbdudbdjsbakznzbzjzbzbz

need help on question 26

Answers

Answer:

y = 2x - 3.

Step-by-step explanation:

26, The slope is 2 and y-intercept is -3

Norma makes bags.
She makes 17 bags an hour.
Norma works for 6 hours each day, 5 days a week.
Each bag is checked.
If the bag is perfect, it is put in a box.
When there are 12 bags in a box it is full.
One week 90% of the bags Norma made were perfect.
Work out the number of boxes completely filled with bags made by Norma.

Answers

Answer:

38

Step-by-step explanation:

She makes 17 bags an hour. Multiply 17 bags by each hour. Additionally, multiply that by 5 for each day worked. The total number is 510.

Out of 510 bags made in that week, only 90% are perfect. 90% of 510 is 459.

If there are 459 bags, and each box can hold 12, how many boxes will be full?  Keep adding bags into boxes until you reach 0 bags. The equation you'll want is 459/12.

38 boxes will be full, with 3 remainder bags.

Find the missing exponent: p^2 ∙ p^3 ∙p^? = p^9

Answers

Answer:

34

Step-by-step explanation:

the question is in the image.(no links)

Answers

Answer:

I don't know but I think the answer is 3

The histogram shows the number of​ part-time and​ full-time employees in each salary range for the Watchdog Clock Factory. How many employees earn $26,000 to $35,000 ​yearly?

Answers

Answer:

7 employees are in the $36,000 to 45,00 salary range.

Step-by-step explanation:

In the bar chart, find the bar labeled 36-45. Look at the top of that bar and then look horizontally left, to the edge where 0 thru 20 is written. Looks to me that the height of the 36-45 bar is at 7 on that scale.

I hope that help

What does b represent in y=mx+b

Answers

Answer:

the y-intercept

Step-by-step explanation:

The y-intercept is where the line cuts the line.

Answer:

y intercept

Step-by-step explanation:

Look at the parallelogram pictured in Figure 1. What is the area of the
parallelogram?


Answers

Answer:

45m²

Step-by-step explanation:

=> Area = base × height

=> A = 5m × 9m

=> A = 45m²

hey! please help i’ll give brainliest

Answers

Answer:

True

Step-by-step explanation:

Adding -ed to a verb will make it a simple past tense verb

Hope this helps :)

Answer:

True

Step-by-step explanation:

it is past tense

Jerome photographed an aquarium that measured 12 inches by 18 inches by 24 inches. Lim photographed an aquarium that was 12 inches by 30 inches by 12 inches. Both aquariums are rectangular prisms. How much more volume does Jerome’s aquarium have than Lim’s?

Answers

Answer:

the answer is 864 in3

Step-by-step explanation:

Jerome photographed an aquarium that measured 12 inches by 18 inches by 24 inches.

So V=LxWxH....

12 x 18 x 24= 5,184

Then...

Lim photographed an aquarium that was 12 inches by 30 inches by 12 inches.

So= V=LxWxH

12 x 30 x 12=4,320

And they need to see who has more so 5,184-4,320=864in3

I hope this helps also Into Math said it was correct :)

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

Side lengths- LK = 1.56 JK = 2.88

Step-by-step explanation:

Use tan for LK. Tan 26 = x/3.2, x = 1.56 to the nearest hundredth. Use cosine for JK. Cos 26 = x/3.2, x = 2.88 to the nearest hundredth.

y = x + 1

in graph form ​

Answers

Answer:

See graph

Step-by-step explanation:

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