What’s the definition of the number i?

Whats The Definition Of The Number I?

Answers

Answer 1

Answer:

B. i = √(−1)

Step-by-step explanation:

When (i) is multiplied to itself it = -1

The number (i)is used for imaginary numbers.


Related Questions

(65 POINTS AND BRAINLYEST)
What is 5^3in expanded form?
Question 1 options:

5+5+5


3+3+3


5x5x5


3x3x3

Question 2 (1 point)
4^2 = 8

True
False

Question 3
−3^2 = (−3)^2

True
False

Answers

Answer:

1) 5×5×5

2) False

3) False

Step-by-step explanation:

5³ basically means 5 is multiplied thrice, i.e

5 × 5 × 5

4² = 4×4 = 16

4² is 16, not 8

(-3)² = -3 × -3 = 9

-(3)² = -9

Answer:

5×5×5

False

False

(22 points and brainlyest)
Why is Gandalf able to save the dwarves from the trolls in The Hobbit?


because he cleverly confuses the trolls until dawn


because he immediately disguises himself as a Warg


because he magically casts a sleeping spell on them


because he was once a troll himself

Answers

Answer:

because he cleverly confuses the trolls until dawn

Gandalf was able to save the dwarves from the trolls in The Hobbit because he cleverly confuses the trolls until dawn.

From the story, it should be noted that the dwarves will have been killed by the trolls if not for the help of Gandalf.

This wasn't because he magically casts a sleeping spell on them but rather because he cleverly confuses the trolls until dawn. Then, after confusing them, the dwarves escaped.

Read related link on:

https://brainly.com/question/16052318

Find the circumference of both circles.

Answers

Answer:

you need to add a photo

Step-by-step explanation:

Answer:

Where are the circles?

Step-by-step explanation:

To find the circumference of the circle you can do 2 times pi times the radius of the circle, or you can change the radius to the diameter and do pi times the diameter of the circle. Hope this helps!

8 cm
Find the area of the figure. Round
your answer to the nearest
hundredth.

Answers

Answer:

128

Step-by-step explanation:

what percent of 3,201= 2,750

Answers

Answer:

86%

Step-by-step explanation:

1) divide 2750 by 3201 to get a part/whole ratio for a percent

2) divide and get 85.91%

Answer:

x = 85.9%

Step-by-step explanation:

Step 1:  Make an equation

[tex]3201 * x = 2750[/tex]

[tex]3201x = 2750[/tex]

Step 2:  Divide both sides by 3201

[tex]3201x / 3201 = 2750 / 3201[/tex]

[tex]x = 0.859...[/tex]

Step 3:  Convert to percentage

[tex]x = 0.859... * 100[/tex]

x = 85.9%

Answer: x = 85.9%

Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each side to answer the question.




Which statement about triangle QRS is true?


Triangle QRS is an equilateral triangle because QR = RS.

Triangle QRS is an isosceles triangle because QR = QS.

Triangle QRS is a scalene triangle because all sides have different lengths.

Triangle QRS is an isosceles triangle because QR = RS.

Answers

Answer:

Triangle QRS is an isosceles triangle because QR = RS.

Step-by-step explanation:

option D for Edgu hope this helps :)

The length of the given triangle: [tex]QR = 6.003, QS = 8.218, RS = 6.003[/tex].

The given triangle QRS is an isosceles triangle because [tex]QR = RS[/tex].

What is an isosceles triangle?

An isosceles triangle is a triangle that has two equal sides.

In the given triangle, the length of the sides are as follows:

[tex]QR = \sqrt{9 + 27.04} = \sqrt{36.04} = 6.003[/tex]

[tex]QS = \sqrt{64 + 3.53} = \sqrt{67.53} = 8.218[/tex]

[tex]RS = \sqrt{25 + 11.04} = \sqrt{36.04} = 6.003[/tex]

(Negative values are not taken)

In the given triangle,  [tex]QR = RS[/tex].

Therefore, the given triangle QRS is an isosceles triangle.

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What is the first step to solving the equation 3(6+x)=24

Answers

Answer:

1.  Distribute the 3

Step-by-step explanation:

3(6+x)=24

You can do one of two things

1.  Distribute the 3

3*6+3x=24

Or

you can divide each side by 3

The only reason it is a good choice to divide each side by 3 is that 24 is divisible by 3

3(6+x)/3=24/3

6+x = 8

Either answer is an acceptable 1st step

Two brownies are shared equally among three friends. How much brownie will each person get? *

Answers

Two brownies among three friends.

3/2 is 1.5

So 1.5 for the first friend, 1.5 for another friend, and 1.5 for the other friend.

someone anyone please help me ​

Answers

Answer:

I am not answering that lol

Step-by-step explanation:

How many ways can a committee of 4 people be chosen from a group of 8 people if the members are selected in no particular order?

Answers

Answer:

70

Step-by-step explanation:

There are 8 choices for the first member, 7 for the second, 6 for the third, and 5 choices for the fourth member (because once you pick someone as a member, they cannot be picked again)

So you have:

8*7*6*5 = 1680

However, we realize that in this particular problem, order DOES NOT matter. (for example, ABCD is the same as DCBA.)

So we divide 1680 by 4! (4*3*2*1) to end up with 70.

You do this because because there are 4! ways to arrange 4 people in a line, and since order doesn't matter, only one of those arrangements counts.

The graph shown is a translation of the graph of f(x) = x². Write the function in
vertex form
F(x) =

Answers

Answer:

plz insert the graph, ill revise my answer

Step-by-step explanation:

4.
In Texas, sales tax is 8 cents for every dollar spent. How much will you
owe in sales tax if you buy an item worth $100?​

Answers

Answer:

It will be $8

Step-by-step explanation:

100x0.08=8

100+8=108

Answer:

$8

Step-by-step explanation:

we mulitiply $0.08 by our money spent,

$0.08X$100

=$8 in sales tax.

A cylinder has a base radius of 6 inches and a height of 14 inches. What is its volume
in cubic inches, to the nearest tenths place?

Answers

Final answer:

The volume of the cylinder is 1580.64 cubic inches.

Explanation:

To find the volume of a cylinder, we can use the formula V = πr²h, where V is the volume, r is the radius of the base, and h is the height.

In this case, the radius, r, is 6 inches and the height, h, is 14 inches.

So, the volume is calculated as follows:

V = π(6²)(14) = 3.14(36)(14) = 1580.64 cubic inches.

HELP PLEASEEEEEEEEEEEE

Answers

Answer:

Just a tip that you can use apps on the computer called Math-way and Math papa for free (Sorry i wasn't able to answer but I tried my best) Hope This helps!

Step-by-step explanation:

Write v = 2x2 + 12x +1 in vertex form.
A. y = (x+3)2 - 17
B. y = (x+4)
C. y=2(x+3)2 – 17
D. y = 2(x + 2)2 + 12

Answers

Answer:

C

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)²  + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

y = 2x² + 12x + 1

To express in vertex form use the method of completing the square.

The coefficient of the x² term must be 1 , thus factor out 2 from 2x² + 12x

y = 2(x² + 6x) + 1

add/ subtract ( half the coefficient of the x- term)² to x² + 6x

y = 2(x² + 2(3)x + 9 - 9) + 1

  = 2(x + 3)² - 18 + 1

  = 2(x + 3)² - 17 → C

Answer:

answer : C    2(x-3)²-17

Step-by-step explanation:

hello :

answer : C    2(x-3)²-17

calculate :   2(x-3)²-17 = 2(x²-6x+9)-17 = 2x²-12x+18-17

                  2(x-3)²-17 = 2x²-12x+1.....(right)

What is the volume of a cone (in cubic inches) with a radius of 6 inches and a height of 3 inches? Use 3.14 for π. Round your answer to the nearest hundredth.

Answers

Answer:

113.04 cubic inches

Step-by-step explanation:

V=π * r^2 *(h/3)

V= 3.14 * 36 * (3/3)

V = 3.14 * 36 * 1 = 113.04

Answer:

25.12

Step-by-step explanation:

A weight is suspended from a spring and allowed to hang at its rest position. It is then pulled down 2 in, released, and allowed to oscillate up and down. Its location (in inches) relative to its rest position is given by the function f(t)=2sin(2.5t - pi/2), where t is the time in seconds. How much time will it take for the weight to move through one complete cycle of motion? A.) 2.5 seconds B.) 3.1 seconds C.) 3.8 seconds D.) 5.0 seconds

Answers

B 2.5 seconds your welcome

The sum of -4 and 5 times a number is multiplied by 3. The result is 212 less than 7 times the number. What is the number?

Answers

Answer:

104

Step-by-step explanation:

First, put the word equation into a numerical equation.

-4+5x=7x-212                            This is our equation

-4=2x-212                                  I subtracted 5x from both sides

208=2x                                     I added 212 to both sides

104=x                                         I divided both sides by 2

Final answer:

To solve the problem, we can set up an equation and solve for the variable 'x'. The number is x = -25.

Explanation:

To solve this problem, we can translate the given information into an equation. Let's assume the number is 'x'. The sum of -4 and 5 times 'x' is -4 + 5x. The equation becomes 3(-4 + 5x) = 7x - 212. We can simplify this equation and solve for 'x' to find the number.

First, distribute the 3 to -4 and 5x, which gives us -12 + 15x = 7x - 212. Then, combine like terms by subtracting 7x from both sides, which gives us -12 + 8x = -212. Next, add 12 to both sides to isolate the variable, resulting in 8x = -200. Finally, divide both sides by 8 to solve for 'x'. The number is x = -25.

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The peak of the house formed what type of triangle?

. acute

. equilateral

. obtuse

Answers

. acute because it is an angle less than 90 degrees (like an L shape)

Answer:

Acute

Step-by-step explanation:

The peak of the house forms acute angled triangle.

The sum of three consecutive numbers is 42. What are the three numbers?

Answers

Answer:

13,14,15

Step-by-step explanation:

Let x be the first number

x+1 is the second number

x+2 = third number

x+ x+1 +x+2 = 42

Combine like terms

3x+3 =42

Subtract 3 from each side

3x+3-3 = 42-3

3x = 39

Divide each side by 3

3x/3 = 39/3

x = 13

The numbers are 13

13+1 =14

13+2 = 15

Answer:

13,14,15

Step-by-step explanation:

What three consecutive integers have a sum of 42? Which means that the first number is 13, the second number is 13 + 1 and the third number is 13 + 2. Therefore, three consecutive integers that add up to 42 are 13, 14, and 15.

What’s the answer????

Answers

Answer:

it would be 20 hope this helps

The answer would be 29sqcm

Please solve this I am sooo confused help meeeee please please please. I will give you 15 points.

Solve the system of the equations:

a.)
3(x+y)−7=12x+y
6(y−2x)−1=−45x

b.)
5(x+2y)−3=3x+5
4(x−3y)−50=−33y

c.)
4x+1=5(x−3y)−6
3(x+6y)+4=9y+19

Answers

Answer:

the answer is a

Step-by-step explanation:

Answer:

a. x=-1/3   y=2

b. x=-166  y=34

c. x=16/3   y=-1/9

Step-by-step explanation:

The table below represents a breakdown of food costs for Esther, a traveling
nurse. On average, how much does she spend on dinner?
Breakfast
Lunch
Dinner
Mon.
$7 88
$13.41
$18.80
Tue.
$12.02
$11.79
$22. 13
Wed.
$9.64
$14.55
$20 79
Thurs
$6.98
$16.09
$24.82
Fri.
$13 30
$10.76
$16.74
O
A. $20.66
O
B. $12.56
O
C. $10.09
D. $9.96​

Answers

Answer:

d. 9.96

Step-by-step explanation:

Trust me, I kept googling this for almost an hour.

The Average of the Dinner is 20.66.

What is Average?

In mathematics, the middle value—which is determined by dividing the sum of all the values by the total number of values—is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.

The data for dinner is:

18.8, 22.13, 20.79, 24.82, 16.74

The Average of the Dinner is

= ( sum of all data for dinner)/ Total Number of Dinner

As, sum of all data for dinner = (18.8 + 22.13 + 20.79 + 24.82 + 16.74)

                                                =103.28

and, Total Number of Dinner = 5

Now put the values we get

= (18.8 + 22.13 + 20.79 + 24.82 + 16.74) / 5

= 103.28/ 5

= 20.656

= 20.66

Thus, the average of the dinner is 20.66

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Write 10 x 10 x 10 x 10 x 10 as a number without exponents. A) 500 B) 5,000 C) 100,000 D) 500,000

Answers

The correct answer is C

Answer:

Step-by-step explanation:

It would be C) 100,000

An easy way to remember this, is if your multiplying numbers that end in zero; you simply multiply the number in their 10th place together or hundredths (and so on). Then add the numbers you have in the numbers you multiplied, but it only works if both numbers have 0's and the 0's are at the end.

Ex. 60 x 50+ n

     6x5=30

        3,000

A robot that makes __/8 of a boat per day will make 7 boats in 8 days

Answers

Answer:

7/8

Step-by-step explanation:

7 represents the # of boats

Answer:

7/8 of a boat

Step-by-step explanation:

Because 7/8*8= 7 boats

(5m+100) (2m+10) what is the value of m

Answers

Answer:

This is not an equation, so m's value cannot be determined.

Step-by-step explanation:

Given that
5x:8=7:2
Calculate the value of x

Answers

Answer: 5.6

Step-by-step explanation:

5x:8=7:2

Ratio means division

So we can rewrite as

5x/8=7/2

Using cross multiply

5x×2=7×8

10x=7×8

10x=56

X=56/10

X=5.6

The value of X= 5.6

Answer:

x = 5.6

Step-by-step explanation:

Expressing the ratio in fractional form, that is

[tex]\frac{5x}{8}[/tex] = [tex]\frac{7}{2}[/tex] ( cross- multiply )

10x = 56 ( divide both sides by 10 )

x = 5.6

Select the two pairs of values that give the expression a value of 6.
2a + b - 10

Answers

Answer:

2a + b = 16

Step-by-step explanation:

You can write it as an equation and get:

2a+b-10=6

Simplify and you can get:

2a + b = 16

Any pair of values that satisfies this equation is correct.

What is the probability of rolling a number greater than 4 on a fair number cube (dice)? (Simplify to lowest terms)

Answers

Answer:

1/3

Step-by-step explanation:

there are 2 numbers greater than 4 on dice and there are 6 numbers on a die

I need help with this question please I’ll mark as brainliest

Answers

Answer:

C

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (8, - 14), thus

y = a(x - 8)² - 14

To find a substitute (5, 13) into the equation

13 = a(5 - 8)² - 14

13 = a(- 3)² - 14

13 = 9a - 14 ( add 14 to both sides )

27 = 9a ( divide both sides by 9 )

a = 3

Thus

y = 3(x - 8)² - 14 → C

Other Questions
Who sent virgil to guide the protagonist? Suppose Jacques and Kyoko are playing a game in which both must simultaneously choose the action Left or Right. The payoff matrix that follows shows the payoff each person will earn as a function of both of their choices. For example, the lower-right cell shows that if Jacques chooses Right and Kyoko chooses Right, Jacques will receive a payoff of 5 and Kyoko will receive a payoff of 3Kyoko Left Right 3,72,6 4,5 Left Jacques Right 3,8 The only dominant strategy in this game is for to choose The outcome reflecting the unique Nash equilibrium in this game is as follows: Jacques chooses_and Kyoko chooses Mette Badminton Equipment Co. wants to raise $7 million to expand operations. To accomplish this, it plans to issue 20-year bonds with a face value of $1,000. The coupon rate is set at 9% and the couponds will be paid semi-annually. The bonds are priced at a yield-to-maturity of 10%. What is the minimum number of bonds the firm must sell to raise the $7 million Why do the nuclides that are used as radiotracers have short half-lives? Which expression is equivalent to (StartFraction (2 a Superscript negative 3 Baseline b Superscript 4 Baseline) squared Over (3 a Superscript 5 Baseline b) Superscript negative 2 Baseline EndFraction) Superscript negative 1? Word: creosoteWhat is it? (at least 3 synonyms)1.2.3.What is it not? (at least 3 antonyms)1.2.3.Definition in your own wordsYour own made up sentence using the word correctly OR a picture depicting the definition Which science fiction premise shows the clearest example of irony?OA. A gas cloud travels from city to city, causing any who inhale it tolive out their dreams.OB. Society values freedom so much that it imprisons anyone whospeaks out against freedom.Oc. A doctor operating on an injured patient discovers that the patientis actually an android.OD. Soldiers who are genetically engineered to excel in combat beginto question their purpose. What happens to Earth when it is farthest from the sun?A) It moves fastest,B) It stops rotating,C) It moves slowest.D) It stops revolving Which real-world situation can be represented by the equation y = 12x?Group of answer choicesDale buys pencils that come in packs of 12. He gets y total pencils for buying x packs.Tanisha has 12 pens, and she buys x more. She now has a total of y pens.Mary buys juice drinks that come in packs of 12. She gets x total juice drinks for buying y packs.Seth has 12 trading cards, and he buys y more. He now has a total of x trading cards. Given the reaction at equilibrium:N2(g) + 3H2(g) 2NH3(g) + 91.8kJWhat occurs when the concentration of H2(g) is increased?A)The rate of the forward reaction increases and the concentration of N2(g) decreases.B)The rate of the forward reaction decreases and the concentration of N2(g) increases.C)The rate of the forward reaction and the concentration of N2(g) both increase.D)The rate of the forward reaction and the concentration of N2(g) both decrease. how does a simile most clearly contribute to the meaning of these lines from "i wandered lonely as a cloud," by william wordsworth? What is a possible consequence of ozone layer depletion on living organisms? Started at 15 degrees and dropped 1/2 degrees each minute Which element can be used as a hook in an essay? janelle wishes to finance a car for $33,000. the bank's annual interest rate is 3.5%, and she can choose between durations of five or six years. calculate the monthly payment and total amount paid for both duration options.use the formula,p = ar (1+r)^n/(1+r)^n-1where a is the amount to finance, r is the monthly interest rate, and n is the number of months to pay. show all of your steps. Jamie has a mass of 35kg what is her weight on earth in newtons Find two numbers a+b is -4 and difference a-b is 4 what's your answer _________ is charged with the responsibility of studying special operations requirements and techniques to ensure interoperability and equipment standardization among special operations forces. Evaluate the following.15:5+3+4x6 I need help with question 14 please