Please help with this

Answer:

564643

Step-by-step explanation:

Answer:

In the real number system, there is no solution to the equation x^2=-1x

2

=−1x, squared, equals, minus, 1. In this lesson, we will study a new number system in which the equation does have a solution.

The backbone of this new number system is the number iii, also known as the imaginary unit.

i^2=-1i

2

=−1i, squared, equals, minus, 1

\sqrt{-1}=i

−1

​

=isquare root of, minus, 1, end square root, equals, i

By taking multiples of this imaginary unit, we can create infinitely many more new numbers, like 3i3i3, i, i\sqrt{5}i

5

​

i, square root of, 5, end square root, and -12i−12iminus, 12, i. These are examples of imaginary numbers.

However, we can go even further than that and add real numbers and imaginary numbers, for example 2+7i2+7i2, plus, 7, i and 3-\sqrt{2}i3−

2

​

i3, minus, square root of, 2, end square root, i. These combinations are called complex numbers.

Defining complex numbers

A complex number is any number that can be written as \greenD{a}+\blueD{b}ia+bistart color #1fab54, a, end color #1fab54, plus, start color #11accd, b, end color #11accd, i, where iii is the imaginary unit and \greenD{a}astart color #1fab54, a, end color #1fab54 and \blueD{b}bstart color #11accd, b, end color #11accd are real numbers.

\begin{array}{ccc} \Large\greenD a&\Large+&\Large \blueD bi \\ \uparrow&&\uparrow\phantom{i} \\ \text{Real}&&\text{Imaginary} \\ \text{part}&&\text{part} \end{array}

a

↑

Real

part

​

+

​

bi

↑i

Imaginary

part

​

\greenD aastart color #1fab54, a, end color #1fab54 is called the \greenD{\text{real}}realstart color #1fab54, start text, r, e, a, l, end text, end color #1fab54 part of the number, and \blueD bbstart color #11accd, b, end color #11accd is called the \blueD{\text{imaginary}}imaginarystart color #11accd, start text, i, m, a, g, i, n, a, r, y, end text, end color #11accd part of the number.

The table below shows examples of complex numbers, with the real and imaginary parts identified. Some people find it easier to identify the real and imaginary parts if the number is written in standard form.

Complex Number Standard Form \greenD a+\blueD b ia+bistart color #1fab54, a, end color #1fab54, plus, start color #11accd, b, end color #11accd, i Description of parts

7i-27i−27, i, minus, 2 \greenD {-2}+\blueD 7i−2+7istart color #1fab54, minus, 2, end color #1fab54, plus, start color #11accd, 7, end color #11accd, i The real part is \greenD{-2}−2start color #1fab54, minus, 2, end color #1fab54 and the imaginary part is \blueD 77start color #11accd, 7, end color #11accd.

4-3i4−3i4, minus, 3, i \greenD 4 + (\blueD{-3})i4+(−3)istart color #1fab54, 4, end color #1fab54, plus, left parenthesis, start color #11accd, minus, 3, end color #11accd, right parenthesis, i The real part is \greenD{4}4start color #1fab54, 4, end color #1fab54 and the imaginary part is \blueD{-3}−3start color #11accd, minus, 3, end color #11accd

9i9i9, i \greenD 0+\blueD9i0+9istart color #1fab54, 0, end color #1fab54, plus, start color #11accd, 9, end color #11accd, i The real part is \greenD{0}0start color #1fab54, 0, end color #1fab54 and the imaginary part is \blueD 99start color #11accd, 9, end color #11accd

-2−2minus, 2 \greenD {-2}+\blueD0i−2+0istart color #1fab54, minus, 2, end color #1fab54, plus, start color #11accd, 0, end color #11accd, i The real part is \greenD{-2}−2start color #1fab54, minus, 2, end color #1fab54 and the imaginary part is \blueD 00start color #11accd, 0, end color #11accd

Step-by-step explanation:

plz brian list and allways happy to help.

Answer: 56

Step-by-step explanation:

Answer:

y=15x+125

Step-by-step explanation:

Hope this helps!

Answer:

24

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

7^2 + b^2 = 25^2

49 + b^2 = 625

Subtract 49 from each side

49+b^2 -49 = 625-49

b^2 = 576

Take the square root of each side

sqrt(b^2) = sqrt(576)

b = 24

Step-by-step explanation:

[tex]hypotenuse {}^{2} \: = base {}^{2} + \: perpendicular {}^{2} \: \\ \\ base {}^{2} = 25 {}^{2} - 7 {}^{2} \\ \\ base {}^{2} = 625 - 49 \\ \\ base {}^{2} = 576 \\ \\ base = \sqrt{576} \\ \\ base = 24 \\ \\ [/tex]

f ( x ) = - ( x + 1)^2 + 4

_____________________

Vertex = ( - 1 , 4 )

♡♡♡♡♡♡♡♡♡♡♡♡

Domain = R

♡♡♡♡♡♡♡♡♡♡♡♡

Range = ( - infinite , 4 ]

Answer:

49

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Formula is:

2(wl + hl +wh)

plug in values and calculate

Answer:

200 grams

Step-by-step explanation:

Let us represent

The number of grams of

30% smarties = x

20% smarties = y

Hence:

x + y = 500

x = 500 - y

Hence:

30% × x + 20% × y = 24% × 500

0.3x + 0.2y = 120

Substitute 500 - y for x

Hence:

0.3(500 - y) + 0.2y = 120

150 - 0.3y + 0.2y = 120

Collect like terms

- 0.3y + 0.2y = 120 - 150

- 0.1y = -30

y = -30/0.1

y = 300

Solving for x

x = 500 - y

x = 500 - 300

x = 200

Hence,

The number of grams of

30% smarties = x = 200 grams

20% smarties = y = 300 grams

Therefore:

the mass of the 30% mix is required to make a 500 gram mixture that will have 24% Smarties by mass is 200 grams

Answer:

160 cm i think

Step-by-step explanation:

Answer:

(7,-19)

Step-by-step explanation:

Just took the final got it correct

Answer:

400

Step-by-step explanation:

12.50times 32

Answer:

Danton vendeu 310 instrumentos musicais.

Step-by-step explanation:

Selton vendeu 62 instrumentos esse mês.

Danton:

Quintuplo do que seu irmão Selton, ou seja:

62*5 = 310.

Danton vendeu 310 instrumentos musicais.

Answer:

1/2

Step-by-step explanation:

Answer:

$1012993.2

Step-by-step explanation:

Given data

Cost of home V= $899,000

Rate of increase= 1%

Time= 12 years

The exponential growth function is expressed as

A=V(1+r)^t

A=899000(1+0.01)^12

A= 899000(1.01)^12

A= 899000*1.1268

A=$1012993.2

Hence the cost of the home will be $1012993.2

Answer:

Look at the picture for the answer :D

Step-by-step explanation:

The x coordinate comes first, then the y.

Answer:

p = 4n

p = 312 passengers

n = 19.5 cars

Step-by-step explanation:

Let

n = number of cars

p = number of passengers

a. p = 4n

b. p = 4n

Find p if n = 78

p = 4n

p = 4 * 78

p = 312 passengers

c. Find n if p = 78

p = 4n

78 = 4n

Divide both sides by 4

78 / 4 = 4n / 4

19.5 = n

n = 19.5 cars

Answer:

4

Step-by-step explanation:

I don't really know how to show the steps, but one of the easiest ways to do this is to see how many times 0.8 goes into 3.2.  So 0.8 + 0.8 + 0.8 +0.8 = 3.2  So 3.2/0.8 is 4

Or you can multiply the numerator and denominator by 10, which keeps the value of the fraction but gets rid of pesky decimals: 32/8 this should be fairly straight forward and a key reason to memorize your times tables.  8*4=32

Answer:

The area of the pentagon is approximately 21 square units

Step-by-step explanation:

The radius of the circle in which the regular pentagon is inscribed, r = 3

The area of a pentagon, 'A', inscribed in a circle with radius, r is given as follows;

A = 5×(1/2) ×2×r·sin(32°)×r·cos(32°) = (5/2)×r²×sin(72°)

Therefore, the area of the pentagon, A = (5/2)×3²×sin(72°) ≈ 21.3987716166 ≈  21

The area of the pentagon, A ≈ 21 square units.

Step 1: Find the slant height

10^2 + 28^2 = c^2

884 = c^2

c = [tex]\sqrt{884}[/tex]

Step 2: Find the lateral area

LA = pi * radius * slant height

LA = pi * 10 * [tex]\sqrt{884}[/tex]

LA (rounded to the nearest tenth) = 297.3pi in^2

Step 3: Find the area of the base circle

A = pi * r^2

A = pi * 10^2

A = 100pi in^2

Step 4: Add the areas together

SA = 297.3pi + 100pi

SA = 397.3pi in^2

Hope this helps!! :)

Answer:

y-intercept is -27

Step-by-step explanation:

Answer:

45%

Step-by-step explanation:

Counting the marbles, there are 5 green, 6 blue and 9 red.

Which means the odds of drawing a red to a non red are 11:9

In fraction form that would be 9 marbles out of 20 are red. 9/20

Since the fraction cannot be simplified, we can go to decimal form.

9/20=.45

.45=45%

The answer is 45%.

Answer:

45%

Step-by-step explanation:

Total = 20

Red = 9

9/20 = 0.45

Therefore 45 % is the correct option :))

Answer:

I think n=0 because

-9-9=n

0=n also as n=0

Answer:

1.95secs

Step-by-step explanation:

Given the height of the float expressed as h(t) = -16t2 - 3t + 55.

The floats reach the swimmer at h(t) = 0

Substitute

0 = -16t^2 - 3t + 55.

16t^2 + 3t - 55 = 0

Using the general formula;

t = -3±√3²-4(16)(-55)/2(16)

t = 3±√9+3520/32

t = 3±√3529/32

t = 3+59.41/32

t = 62.41/32

t = 1.95

Hence it will take 1.95secs

Answer:

$8

Step-by-step explanation:

7/7 = 1

56/7 = $8

Answer:

the answer is c !

Step-by-step explanation:

Answer:

Step-by-step explanation: