Hello,if anyone would help me,I would really much appreciate it. I’ve a little stressed about it.Thank you!

Answer:

Option (C) is correct.

Step-by-step explanation:

Given that z = 0.3(cos(31°) + i sin(31°)) and 20(cos(18°) + i sin(18°)).

The product of both the complex number is

zw = [0.3(cos(31°) + i sin(31°))] x [20(cos(18°) + i sin(18°))]

=(0.3x20)[cos(31°) x cos(18°) + cos(31°) x i sin(18°) + i sin(31°) x cos(31°)+ i sin(31°) x i sin(18°)]

Here, (0.3x20)=6, is the magnitude of zw, which is stretching of 0.3 by 20.

zw=6[cos(31°) x cos(18°) + i{cos(31°) x sin(18°) + sin(31°) x cos(31°)}+ i² sin(31°)x sin(18°)]

As i²= -1, So

zw=6[cos(31°) x cos(18°) + i{cos(31°) x sin(18°) + sin(31°) x cos(31°)} - sin(31°)x sin(18°)]

=6[{cos(31°) x cos(18°)- sin(31°)x sin(18°)} + i{cos(31°) x sin(18°) + sin(31°) x cos(31°)}]

As cosAcosB - sin A sin B = cos (A+B) and cosAsinB + sin A sos B = sin (A+B), so

zw=6[cos(31°+18°) + i{sin(31°+18°)]

Note that, initially the argument of z is 31° and after rotation of 18° in counterclockwise direction, the argument od zw is 31°+18°= 49°. i.e

zw=6(cos(49°) + isin(49°)).

So, zw can be determined by stretching z by a factor of 20, then rotating by 18° counterclockwise.

Hence, option (C) is correct.

Answer:

C: Stretch z by a factor of 20, then rotate 18° counterclockwise.

Step-by-step explanation:

Took the quiz.

Answer:

Yes, its a function

Step-by-step explanation:

Answer:

x=37/20

Step-by-step explanation:

4(2x-7)+3(3x-1)=3(2-x)

8x-28+9x-3=6-3x

17x+3x=6+31

20x=37

Answer:

x = [tex]\frac{71}{3}[/tex]

Step-by-step explanation:

1. Simplify/distribute each side.

[tex]4(2)(-7)+3(3)(-1)=3(2-x)[/tex]

[tex]4(2)(-7)+3(3)(-1)=(3)(2)+(3)(-x)[/tex]

[tex]-56+-9=6+-3x[/tex]

2. Flip the equation around.

[tex]-3x+6=-65[/tex]

3. Subtract 6 to balance the equation.

[tex]-3x+6-6=-65-6[/tex]

[tex]-3x=-71[/tex]

4. Divide each side by 3. We know they are in the same fact family.

[tex]\frac{-3x}{-3} = \frac{-71}{3}[/tex]

Answer:

C

Step-by-step explanation:

rounding

Answer: 5/4

Step-by-step explanation:

The slope formula is [tex]\frac{y_{2}-y_1 }{x_2-x_1}[/tex]. This is basically the change in y over change in x.

Apply the formula to get: [tex]\frac{5--2}{6-2}[/tex].

Simplify it to get: [tex]\frac{5}{4}[/tex]

Answer:

No, Each input has one output

Step-by-step explanation:

A circle can't be a function because of its radius and diameter, its not linear so  it might have the same input or output. Therefore, you need a line to have a linear function .!

Pls mark brainiest!

I hope you get this right!

Answer:

x=74 degrees

Step-by-step explanation:

the sum of angles of triangle=180 degrees

121+y=180 ( the sum of the linear angles is 180 degrees)

y=180-121

y=59 degrees

x+59+47=180

x+106=180

x=180-106

x=74 degrees

Answer:

The first one

Step-by-step explanation:

since you're subtracting 12, it will be -8

the -8/4 = -2

Answer:

It is the first answer choice b<4 or b>-2

Step-by-step explanation:

Solve the first inequality like so

6b<24

divide by 6 on both sides

b<4

Now for the second inequality solve like so

4b+12>4

Subtract 12 on both sides

4b>-8

Divide on both sides by 4

b>-2

This leaves us with only one answer choice which is A -

b<4 or b>-2

If you can please make my answer the brainliest that would be much appreciated. Thanks!

Answer:

14/61 cm per day

Step-by-step explanation:

Use the slope formula  [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

Plug it in [tex]\frac{16-2}{61-0}[/tex]

Simplify [tex]\frac{14}{61}[/tex]

If the graph shows the height of a plant over a 2-month growth period. The rate of change per day will be 14/61.

It is defined as the change in values of a dependent variable with respect to the independent variables. Analyze the points first, then calculate the y-values for each interval. After that, subtract the input and output values. Divide and then simplify the differences to determine the rate of change.

It is given that, the graph shows the height of a plant over a 2-month growth period

The kind of graph must be considered when calculating the rate of change. Finding the ratio between the change in output values and the change in their corresponding input values is how linear graphs with constant rates of change are determined. Look at the following linear graph.

The slope of a linear function represents the pace of change. We have two points to determine the slope,

The rate of change per day is found as,

=y₂-y₁/x₂-x₁

=16-2/61-0

=14/61

Thus, if the graph shows the height of a plant over a 2-month growth period. The rate of change per day will be 14/61.

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Answer:

The missing value in the solution to

the equation will be:

Step-by-step explanation:

Given the equation

[tex]y+2\:=-3\left(x\:-\:4\right)[/tex]

As the value of y = -2 is given.

so substituting the value y = -2 in the equation to find the missing value

[tex]\left(-2\right)+2\:=-3\left(x\:-\:4\right)[/tex]

switch the sides

[tex]-3\left(x-4\right)=\left(-2\right)+2[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a[/tex]

[tex]-3\left(x-4\right)=-2+2[/tex]

[tex]-3\left(x-4\right)=0[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-3[/tex]

[tex]\frac{-3\left(x-4\right)}{-3}=\frac{0}{-3}[/tex]

[tex]x-4=0[/tex]

[tex]x=4[/tex]

Therefore, the missing value in the solution to

the equation will be:

Answer:

1st is 26.376 2nd is n

Step-by-step explanation:

2pie X r so. 2 X3.14X4.2

Answer:

26.376 cm

4 is the constant

Step-by-step explanation:

C = [tex]2\pi r[/tex]

To find the circumference, we first need to find the radius. The radius of a circle is half the diameter, so divide 84 by 2:

84/2 = 42

The radius is 42. Now we can solve for the circumference:

C = 2[tex]\pi[/tex](42)

C = 84[tex]\pi[/tex]

C = 263.89

The circumference is approximately 263.89 mm. Now we need to convert the millimeters to centimeters. There are 10 millimeters in 1 centimeter, so divide the circumference by 10:

263.89/10 = 26.389

The circumference is approximately 26.389 cm. The answer choice that our answer is closest to is the first answer choice.

4 + 2n

The constant in an expression is the value that doesn't change. After 2 and n are multiplied, that value will be different, so their values aren't constant. So, in this expression, 2 is the coefficient, n is the variable, and 4 is the constant.

Hope this helps :)

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle

13x - 11 + 4x + 1 = 18x - 15 add like terms

17x - 10 = 18x - 15

- 10 + 15 = 18x - 17x

5 = x

measure of angle A 13x - 11 ➡ 13 × 5 - 11 = 54°

measure of angle B 4x + 1 ➡ 4 × 5 + 1 = 21°

measure of angle C 18x - 15 ➡ 18 × 5 - 15 = 75°

Answer:

Your answer is 38 degrees.

Step-by-step explanation:

The question was solved through the properties of a circle. The angle subtended at the center is double the angle subtended at the circumference.

Hope I helped, happy schooling!!

The measure of <C is 38°. The answer is the first option 38°

From the question, we are to determine the measure of <C.

In the diagram, <C is an angle on a part of the circumference.

From the given information, the angle subtended by arc AB at the center of the circle is 76°

From one of the circle theorems we have that

The angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle's circumference

Therefore,

2 × <C = 78°

<C = 76° ÷ 2

<C = 38°

Hence, the measure of <C is 38°. The answer is the first option 38°

Learn more on Circle theorems here: https://brainly.com/question/25927269

Answer:

47 reams of paper were used

Step-by-step explanation:

23,500 divided by 500 equals 47

Answer:

47 reams

Step-by-step explanation:

23,500 sheets were made, then you divide by 500, bc each ream has 500. And you get 47 reams of paper :)

Answer:

- 7n ≤ 77

Step-by-step explanation:

- 7n ≤ 77

n ≥ - 11

Answer:

The coordinates of P are (12,9)

Step-by-step explanation:

Equations

We are given the endpoints of the segment AB: A(10,8) B(18,12).

It's required to find the coordinates of point P(x,y) along the segment AB such that:

[tex]\displaystyle \frac{AP}{PB}=\frac{1}{3}[/tex]

The ratio of the distances is the same as the ratio of their respective coordinates:

[tex]\displaystyle \frac{x_{AP}}{x_{PB}}=\frac{1}{3}[/tex]

[tex]\displaystyle \frac{y_{AP}}{y_{PB}}=\frac{1}{3}[/tex]

Since

[tex]x_{AP}=x_P-x_A=x-10[/tex]

[tex]x_{PB}=x_B-x_P=18-x[/tex]

Then:

[tex]\displaystyle \frac{x-10}{18-x}=\frac{1}{3}[/tex]

Multiplying by 3 (18-x):

3( x - 10 )= 18 - x

3x - 30 = 18 - x

Adding x and 30:

4x = 48

x = 12

Similarly:

[tex]\displaystyle \frac{y-8}{12-y}=\frac{1}{3}[/tex]

Multiplying by 3 (12-y):

3( y - 8 ) = 12 - y

3y - 24 = 12 - y

Adding y and 24:

4y = 36

y = 9

The coordinates of P are (12,9)

Answer:

a) She did mistake in Step 2

b) when she take -3y common then the term should be: -3y(x+5) instead she wrote -3y(x-5)

Step-by-step explanation:

We need to find problem in Ms J solution.

Ms J solution:

[tex]Step \ 1: 4x^2 + 20x - 3xy - 15y\\Step \ 2: 4x(x + 5) - 3y(x - 5)\\Step \ 3: (x+5)(4x - 3y)[/tex]

She did mistake in Step 2 when she take -3y common then the term should be: -3y(x+5) instead she wrote -3y(x-5)

Correcting the mistake:

[tex]Step \ 1: 4x^2 + 20x - 3xy - 15y\\Step \ 2: 4x(x + 5)\mathbf{- 3y(x +5)}\\Step \ 3: (x+5)(4x - 3y)[/tex]

Answer:

2m + 20

Step-by-step explanation:

Given that:

Cost per meal = m

Tip left = $10

Total cost for each person :

m + 10

Total amount spent by the two :

2(m + 10)

2m + 20

Answer:

134

Step-by-step explanation:

Its 134, i did the math and my old answer had the explanation, but someone deleted it.

Answer:

Third Option

Step-by-step explanation:

Lets use process of elimination to find the answer to this question. It's not the first option because a scribes job was mainly in the government district as writers/record keepers meaning they don't really protect the kingdom from invasion. It's not the second options because Merchants were traders, meaning they don't make up the Pharaohs police force because all they do is sell goods to Egyptians. Then it's not fourth option because farmers, servants, and slaves make up way more then 20% of ancient Egypt. Leaving the third option meaning it's your answer.

Hope this helps.

Answer:

there is no slope. y = 4, the line is horizontal

Answer:

-26 × -1 = 26

This is your answer , pls mark me the brainliest!!

Answer:

-1

Step-by-step explanation:

1 x 26 is  like that , -1 x -26 = 26. Hope this helps!

Answer:315

Step-by-step explanation:

Answer:

8 walls

Step-by-step explanation:

While painting the interior of a large house, Gene is going to transfer some paint in a large 5 gallon container to a smaller bucket. Unfortunately he slips and spills 2 gallons of paint all over the floor.

The remaining amount of paint is

= 5 gallons - 2 gallons

= 3 gallons

If each wall in the house takes 9/24 of a gallon to paint, how many walls can he paint with what he has left?

Hence:

9/24 gallon = 1 Wall

3 gallons = x wall

Cross Multiply

9/24 × x = 3 × 1

x= 3 ÷ 9/24

x = 3 × 24/9

x = 8 walls

He can paint 8 walls with what is left.

Answer:

lets see every 2kg bag its 15.98 so every 4kg its 31.96 and for every 6kg its 47.94 so if every 1kg its 7.99 so add 47.94 + 7.99 you get 55.93

Step-by-step explanation:

Answer

the x intercept is (-8,0)

Step-by-step explanation:

Answer:

1. +12x and 15

2. 14x

3. 2

Step-by-step explanation:

Step 1: Distribute -3

To distribute -3, you would multiply both -4x and -5 by -3, changing them to 12x and 15

Step 2: Combine 12x and 2x

Then you would combine like terms, meaning that you would add 12x and 2x, creating 14x.

Step 3: Combine 15 and -13

You would finish combining like terms by adding 15 to -13, creating 2

Answer:

y=28

Step-by-step explanation:

Answer:

x= 4+5i

Step-by-step explanation:

The values of x in the given quadratic equation, x²-8x+41 = 0 are x = 4+5i or x = 4-5i

A quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown value, and a, b, and c represent known numbers, where a ≠ 0.

Given is a quadratic equation, x²-8x+41 = 0, we need to find the values of x,

Since, 41 is a prime number, which can not be factorized so, we will use quadratic formula,

x = [-b ± √(b²-4ac)] / 2a

Here, a = 1, b = -8, c = 41

Therefore,

x = [8 ± √(8²-4(41))] / 2

= [8 ± √(64-164)] / 2

= [8 ± √(-100)] / 2

= [8 ± 10i] / 2

= [4 ± 5i]

Therefore, x = 4+5i or x = 4-5i

Hence, the values of x in the given quadratic equation, x²-8x+41 = 0 are x = 4+5i or x = 4-5i

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