Simplify the trigonometric expression sin(4x) +2 sin(2x) using Double-Angle
Identities.

Subtract like terms:

3 -4 = -1

8i - 2i = 6i

The answer is -1+6i

Answer:

37 boxes

Step-by-step explanation:

At first, Dymin had some boxes. Let x be the starting number of boxes.

Then, she bought 7 more boxes. Let y be the new number of boxes that she had.

y = x + 7

Next, her little brother destroyed half of them. It means half of y. So, the number of boxes left is

Number of boxes = y/2

The number of the boxes left is 22 boxes. Then, we can use the equation above.

Number of boxes = 22

y/2 = 22

Substitute y = x + 7 into the equation.

(x + 7)/2 = 22

x + 7 = 44

x = 44 - 7

x = 37

Thus, Dymin has 37 boxes at first.

Answer:

4 Student is 20% of 20 students

Step-by-step explanation:

if 4 = 20% then 1 = 5% to get a hundred percent then you need to multiply by 20

so 20

4 Student is 20% of 20 students

Answer:

4 Student is 20% of _20___ students

Step-by-step explanation:

20% of x = 4

20% = 0.20

of means multiplication so

0.2 * x = 4

x = 4 / 0.2 = 40 /2 =20

Answer:

The bottom right

Step-by-step explanation:

switch the x and y and solve for y again

Answer:

1. A

2. B

3. B

Step-by-step explanation:

1. 180+57-94= 29

2. 4x + 7 + 97 + 180 - 17x - 13 = 180

-13x = -91

x = 7

3. 180 - 64-38 = 78

180-78 =. 102

Answer:

A) 29°

B) 7°

B) 102°

Step-by-step explanation:

1. ------------------------

2.  ------------------------

3.  ------------------------

Answer:

I'm assuming that you mean "Cubic Unit". I will use inches in this example, but this will work with other units as well.

Let's say that the volume of a figure was 124.86 cubic inches.

Rounding to the nearest cubic inch is the same thing as rounding to the nearest whole number.

Locate the 'ones' place:

124.86

Check next door:

124.86

If the next door number is greater than or equal to 5, then we round up. If it's less than 5, we round down.

8 is greater then 5. Therefore, we would round up.

So, 124.86 cubic inches to the nearest cubic inch is 125 in³.

124.86in³ ≈ 125in³

Answer:

(3,0)

Step-by-step explanation:

[tex]\\ 1. (3x ^{2} + 2xy + 7) - (6x ^{2} - 4xy + 3) \\ = 3x ^{2} + 2xy + 7 - 6x ^{2} + 4xy - 3 \\ = 3x ^{2} - {6x}^{2} + 2xy + 4xy + 7 - 3 \\ = { - 3x}^{2} + 6xy + 4 \\ 2. \: {9x}^{2} - 2x + 3 - ( {4x}^{2} + 7x - 5) \\ = 9x ^{2} - 2x + 3 - 4x ^{2} - 7x + 5 \\ = {9x}^{2} - {4x}^{2} - 2x - 7x + 3 + 5 \\ = {5x}^{2} - 9x + 8 \\ 3. \: {x}^{2} - 5x + 6 \\ = {x}^{2} - (3 + 2)x + 6 \\ = {x}^{2} - 3x - 2x + 6 \\ = x(x - 3) - 2(x - 3) \\ = (x - 3)(x - 2) \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer with step by step explanation

[tex](1)(3 {x}^{2} + 2xy + 7) - (6 {x}^{2} - 4xy + 3) \\ 3 {x}^{2} + 2xy + 7 - 6 {x}^{2} + 4xy - 3 \\ = - 3 {x}^{2} + 6xy + 4[/tex]

[tex](2)9 {x}^{2} - 2x + 3 - (4 {x}^{2} + 7x - 5) \\ 9 {x}^{2} - 2x + 3 - 4 {x}^{2} - 7x + 5 \\ = 5 {x}^{2} - 9x + 8[/tex]

[tex](3) {x}^{2} - 5x + 6 \\ {x}^{2} - 3x - 2x + 6 \\ x(x - 3) - 2(x - 3) \\ (x - 2)(x - 3)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

(14)+(-11)=3

Answer:

how can I help?

Step-by-step explanation:

with what?

Answer:

True

parallelogram is a quadrilateral with two pairs of parallel sides. A trapezoid has one pair of parallel sides .

No, All trapezoids are not parallelograms.

We know that,

Trapezoid has only one pair of parallel sides while in a parallelogram there are two pairs of parallel sides.

Having one set of opposing sides that are parallel defines a trapezoid as a quadrilateral. It can have congruent sides (isosceles), right angles (a right trapezoid), although none of those properties is necessary.

Hence, By definition of trapezoids,

All trapezoids are not parallelograms because Trapezoid has only one pair of parallel sides while in a parallelogram there are two pairs of parallel sides.

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Answer:

The answer would be 32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

8 times 4 = 32

Answer:

The answer is D

Step-by-step explanation:

I know this because all the area of each face is equal to 10+10+52+32+40 and that is equal to 144in. squared

Answer:

3*3 *7

Step-by-step explanation:

63 = 9*7

7 is prime but 9 is not

Break 9 into its factors

     = 3*3 *7

All of these are prime

Answer:3x3x7

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

3 (3 - 3x) +4= -5

Subtract 4 from each side

3 (3 - 3x) +4-4= -5-4

3 (3 - 3x)= -9

Divide by 3

3/3 (3 - 3x) = -9/3

3-3x = -3

Subtract 3 from each side

3-3x-3 = -3-3

-3x = -6

Divide by -3

-3x/-3 = -6/-3

x = 2

Answer:

Yes it is

Step-by-step explanation:

Each x value is represented by exactly one y value.

Answer:

[tex]S_n =[/tex] -2497

Step-by-step explanation:

We are given an arithmetic series with the following terms:

First term, [tex]Q_1[/tex] = -40

Common difference, d = -7

Number of terms, n = 22

To find out: Sum of n terms, where n is 22

We know that Sum of n terms in an arithmetic series is given as:

[tex]S_n =\dfrac{n}{2} (2Q_1+(n-1)d)[/tex]

Putting the values in the formula:

[tex]S_{22} = \dfrac{22}{2} (2 \times -40+(22-1)\times (-7))\\\Rightarrow S_{22} = 11 \times (-80-147)\\\Rightarrow S_{22} = 11 \times (-227)\\\Rightarrow S_{22} = -2497[/tex]

So, the sum of 22 terms is -2497.

Answer:

120%

Step-by-step explanation:

Because the answer is 1 1/5 that converted to a percentage(%) is 120%.  

9.53% people between the age 30 to 44 rated the movie as excellent.

A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100.

According to the given question.

We have a data of people of different ages who rated the movie as excellent, Average, and poor.

Now,

Total number of people between the age 30 to 44 who rated the movie excellent is 33

And, the total number number of people who watched the movie is 346.

Therefore, the percentage of people who are in between 30 to 44 and  rated the movie as excellent is given by

[tex]percentage = \frac{total\ number\ of\ people\ between\ 30\ to\ 44\ and\ rated\ movie\ as\ excellent\ }{total\ number\ of\ people\ who\ watched\ the\ movie}[/tex]

[tex]\implies percentage = \frac{33}{346} =9.53\%[/tex]

Hence, 9.53% people between the age 30 to 44 rated the movie as excellent.

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Find the area of the triangle and multiply by the length of the prism.

Area = 1/2 x 8x3 = 12 square yds.

Volume = 12 x 6 = 72 cubic yards.

Answer:

see explanation

Step-by-step explanation:

This polynomial is irreducible, that is cannot be factored.

4x² + 25y² ← is a prime polynomial

Answer:

1, the polynomial itself

Step-by-step explanation:

This is a prime polynomial since the terms have no common factor. The only factors it has are 1 and 4x2+25y2 (the number itself)

Answer:

Step-by-step explanation:1/2 of answer is zero

Answer:

y=1/3x^2+4/3 x -2/3

Step-by-step explanation:

y=1/3x^2+4/3 x -2/3

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 200

x = 34

p = 34/200 = 0.17

q = 1 - 0.17 = 0.83

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.82 = 0.18

α/2 = 0.18/2 = 0.09

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.09 = 0.91

The z score corresponding to the area on the z table is 1.35. Thus, the z score for a confidence level of 82% is 1.35

Therefore, the 82% confidence interval is

0.17 ± 1.35√(0.17)(0.83)/200

Confidence interval is 0.17 ± 0.036

Answer:

z  ∗  = 1.341

Step-by-step explanation:

Its right on khan academy

Answer:

C.

Step-by-step explanation:

Answer:

1/20

Step-by-step explanation:

5%

Percent means out of 100

5/100

Divide top and bottom by 5

1/20

Answer:

HI THERE,THE ANSWER IS

B

Step-by-step explanation:

[tex]\frac{1}{20} \\[/tex] X 100%=5%

Answer:

Correct option: First one -> Hexagonal prism

Step-by-step explanation:

In the figure we have two hexagons and six rectangles. If we fold each part correctly, we can use the two hexagons as horizontal bases of a prism, and the six rectangles would be the sides of the prism (each rectangle connected to one side of lower hexagon and one side of upper hexagon).

So the figure created would be a hexagonal prism.

Correct option: First one.

Answer:

First one

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

Because of how the students grade ar goung not down but up were the y or x

The scatterplot that shows that Wyatt is not always right to say that a straight line shows a relationship between two variables is the graph attached.

The only time a straight line can be said to be proof that two variables are related is when this straight line is diagonal as it shows correlational change.

If the straight line is vertical or horizontal as shown attached, it means that there is no relationship because one variable is not changing when the other one does.

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Answer:

[tex]20t- (8t+ 50s + 200)\\20t- 8t- 50s - 200\\12t-50s-200[/tex]