(sin^2(0)) I really need help with this asap

Answers

Answer 1

Answer:

Asapa

[tex] (sin2(0) [/tex]


Related Questions

(1-sinx+cosx)^2 = 2(1+sinx)(1+cosx)​

Answers

If you're trying to establish an identity, the given equation is not an identity. The proper identity would be as follows:

(1 - sin(x) + cos(x))² = (1 - sin(x))² + 2 (1 - sin(x)) cos(x) + cos²(x)

… = (1 - 2 sin(x) + sin²(x)) + 2 (1 - sin(x)) cos(x) + cos²(x)

… = 2 - 2 sin(x) + 2 (1 - sin(x)) cos(x)

… = 2 - 2 sin(x) + 2 cos(x) - 2 sin(x) cos(x)

… = 2 (1 - sin(x) + cos(x) - sin(x) cos(x))

… = 2 (1 - sin(x) + cos(x) (1 - sin(x)))

… = 2 (1 - sin(x)) (1 + cos(x))

But if you're trying to solve an equation:

(1 - sin(x) + cos(x))² = 2 (1 + sin(x)) (1 + cos(x))

2 (1 - sin(x)) (1 + cos(x)) = 2 (1 + sin(x)) (1 + cos(x))

(1 - sin(x)) (1 + cos(x)) - (1 + sin(x)) (1 + cos(x)) = 0

(1 + cos(x)) (1 - sin(x) - 1 - sin(x)) = 0

-2 sin(x) (1 + cos(x)) = 0

sin(x) = 0   or   1 + cos(x) = 0

sin(x) = 0   or   cos(x) = -1

[x = arcsin(0) + 2   or   x = arcsin(0) + π + 2]   or

… [x = arccos(-1) + 2]

We have arcsin(0) = 0 and arccos(-1) = π, so the solution set reduces to

x = 2   or   x = (2n + 1)π

(where n is any integer)

Please help me answer this question:
(D 3, 3, 5, 5, 6, 7, 8, 9, 11

Answers

Answer:

According to the graph presented within the proposed interrogate, the answer to such is identified as ‘C’: 2, 3, 5, 5, 6, 7, 8, 10, 11.

Step-by-step explanation:

To evaluate for such a problem, a comprehension of the “Whisker” plots is obligated.

- The box geometric figure with the vertical line contained within represents the average of the numbers presented.

* In this peculiar case, 6 is acknowledged as the individual value responsible for the mean.

Thus far, browsing at such answer choices, we are obligated to appoint an answer where 6 is the standard deviation or the mean (where 6, and only 6, is found in the middle of the set of numbers provided).

The only answer choice in which certifies to all conditions thus far declared is disseminated as “C”.

*I hope this helps.

please help
solve (4-w)(5w+3)=0

Answers

Answer:

4=w   w = -3/5

Step-by-step explanation:

(4-w)(5w+3)=0

Using the zero product property

4-w = 0   5w+3 =0

4 =w     5w= -3

4=w   w = -3/5

Answer:

4 & -3/5

Step-by-step explanation:

the "trick" is to set each factor = to zero

4-w = 0

w = 4

~~~~~~~~~~~

5w + 3 = 0

5w = -3

w=-3/5

∫(x+1)/(x2+2)2x−3​dx need help with this question. can you show the process​

Answers

do you need to include the wiggle infront of the first bracket? if not;

(x+1) ÷ [(x^2+2) x (2x-3dx)]

x^2 x 2x = 2x^3

x^2 x -3dx = -3dx^3

2 x 2x = 4x

2 x -3dx = - 6dx

i cant find a way to make it equal 0 so i think the answer is just

x+1 over 2x^3 - 3dx^3 + 4x - 6dx as a fraction

is 23/17 a rational number?

Answers

Answer:

rational number

Step-by-step explanation:

a rational number can be written as a/b where a and b are integers

23/17 = a/b where a = 23 and b = 17

This is a rational number

YES it’s a rational number !!!!!!!! :)

Instructions: Use the images to answer the questions below.
Graph A
Graph B
Graph C
5108
6 4 8
7046
8 2 2 2 6 66
90 000 24
50,1,2,
63,8,9,
71,3,4,
8 2,4,6,7,
glo,
57 39
68 5 1
7 3 0 0
824
919
an
11.11
1. What type of graph is displayed? stem-and-leaf plot •
2. The data is quantitative
3. Which graph is made correctly? Graph A :
4. The data in the correctly made graph is negatively skewed . This indicated that the mean is
the same or approximately the same as the median.
5. The population size of the data set in the correctly made graph is 5

Answers

Some of the sub-questions have been answered. I will provide explanation to the already answered questions and then answer the unanswered parts

1. The graph type

The three graph displayed are stem-and-leaf plots. The single numbers at the left-hand side are referred to as the stem, while the numbers at the right are called leaves.

2. The type of data

The three graphs display numerical data (i.e. numbers). Hence, the data are quantitative

3. The correct graph

To know the correct graph; the leaves on each line must be in ascending order and the delimiter to use is a blank space.

Only graph A obey the above illustration

4. Skewness

In graph A, the length of the leaves increases as we move from one stem to the other. This means that the graph is negatively skewed.

For a negative skewed stem plot, the mean is less than the median

5. The population size

This means that we count the number of leaves in the stem plot

The leaves are:

[tex]Leaves = \{0,8,4,8,0,4,6,2,2,2,6,6,6,0,0,0,0,2,4\}[/tex]

So, the population size is: 19

6. The data set

To do this, we include the stem to the corresponding leaves.

So, we have:

[tex]Dataset= \{50,58,64,68,70,74,76,82,82,82,86,86,86,90,90,90,90,92,94\}[/tex]

Learn more about stem and leaf plots at:

https://brainly.com/question/22141441

help me please its confusing pleasee

Answers

Answer:

a) -8x³+x²+6x

d) 16x²-9

Step-by-step explanation:

a) -2x(x+4x²)+3(x²+2x)

Expand each bracket:

-2x(x+4x²)

As the -2x is on the outside of the bracket, you have to times everything inside the bracket by -2x.

-2x times x equals -2x²

-2x times 4x² equals -8x³

Then we expand the other bracket:

3(x²+2x)

3 times x² equals 3x²

3 times 2x equals 6x

We then put all of it together:

-2x²-8x³+3x²+6x

Collect like terms:

-8x³+x²+6x

b) (4x-3)(4x+3)

We will use the FOIL method:

F-First

O-outer

I-Inner

L-Last

Times the first two terms in each bracket:

4x times 4x equals 16x²

Times the outer terms in the bracket:

4x times 3 equals 12x

Times the inside terms in the bracket:

-3 times 4x equals -12x

Times the last terms in the bracket:

-3 times 3 equals -9

Put it together:

16x²+12x-12x-9

The 12x and -12x cancel out to leave 16x²-9

Hope this helps :)

SOMEONE PLEASE HELP ME!!!

Answers

Answer:

31.8

Step-by-step explanation:

side AD : side EH

13 : 46

side BC : side FG

9 : x

these ratios work because these are similar quadrilaterals and their sides correlates when the figures are rotated to match the other figure's position.

13/46 = 9/x

x = 31.846

x = approx. 31.8

Answer:

FG = 31.8

Step-by-step explanation:

[tex]\frac{13}{46} = \frac{9}{x}[/tex]

13x = 46 * 9

13x = 414

x = 31.8

answer please and no links .....thank you​

Answers

Answer:

8,3,-1,3,15

Step-by-step explanation:

y=x^2-1

y(-3)=8

y(-2)=3

y(0)=-1

y(2)=3

y(4)=15



Qual o valor da expressão? 155÷2+4−55+1,5−6×5+6?

Answers

Answer:

Step-by-step explanation:

Hello!

(155/2)+4−55+1,5−(6×5)+6=

77,5 +4-55 +1,5 -30 +6= 4

Its in the picture!!!1

Answers

Draw an open circle around the one and then draw an arrow going to the right above that circle

worth 10pts if someone can help!

Answers

Answer:

y=-x

I found the points then simplified it down

Answer:

hmm maybe trying using 2y=5x-2

Step-by-step explanation:

how i came to this was just looking at point y which was just 2 and then since point x was at 5,-2 all i did was simply it into 2y=5x-2

maybe that's the answer if it is can i get brainlist ?! pretty please if not let me know so i can see what i got wrong

PLS HELP WILL GIVE BRAINLY!!

What is the weight (in grams) of a liquid that exactly fills a 182.8 milliliter container if the density of the liquid is 0.135grams over milliliter? Round to the nearest hundredth when necessary, and only enter numerical values, which can include a decimal point

Answers

Answer:

24.68 gram

Step-by-step explanation:

Given that :

Volume = 182.8 ml

Density of liquid = 0.135 gram/ml

Recall :

Density = mass (g/ml) / volume (ml)

Substitute the value into the equation :

0.135 = mass / 182.8

Mass = 0.135 * 182.8

Mass = 24.678 gram

Hence, weight = 24.678 grams

Use the first five terms of the binomial theorem to approximate (-1.4)^8

Answers

Answer:

14.75789056

Step-by-step explanation:

I think so...

The first five terms of the binomial theorem to approximate (-1.4)⁸ answer would be 14.056.

What is the Binomial Theorem?

The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.

According to the binomial theorem, it is possible to expand any non-negative power of binomial (x + y) into a sum of the form,

(x+y)ⁿ = ⁿC₀xⁿy₀ + nC₁ xⁿ⁻¹y₁ + nC₂ xⁿ⁻² y2 + ... + nC x¹yⁿ⁻¹ + nCn x°yⁿ

where n ≥ 0 is an integer and each ⁿCₓ is a positive integer known as a binomial coefficient.

Given expression as (- 1.4)⁸

as a result, if you have raised a negative integer to an even power, the response will be positive.

Eliminating the negative sign.

⇒ (1.4)⁸ = (1+0.4)⁸

⇒ 1⁸+8*1⁷*0.4+28*1⁶*0.4²+56*1⁵*0.4³+70*1⁴*0.4⁴

⇒ 1+3.2+4.48+3.584+1.792

14.056

If we used one more term we would get 14.62944

Learn more about the binomial theorem here:

https://brainly.com/question/27813780

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create another show real life multi-step function problems with Solutions in quadratics​

Answers

Answer:

Kazan also SOS jz zks zj sj aka always zks. aiwow

You want to make a nut mix that has almonds, cashews, and peanuts. Almonds cost $7 per pound, cashews are $5 per pound, and peanuts are $2 per pound. If you want to make a 10 pound mix with a $20 budget find the possible mix combinations of almonds, cashews, and peanuts. How many pounds of almonds should you use

Answers

Answer and explanation:

Assume Almond is a

Cashew is c

Peanuts is p

The system of equations satisfies this thus:

a+c+p= 10

7a+5c+2p= $20

The system of equations has three unknowns. Solving for the unknown variables here would yield parametric equations or dependent system where given x y z we may find x in terms of y and z in terms of x, in that form. This would give many results for our problem which may not be very accurate.

Emma earns a $39,000 salary in the first year of her career. Each year, she gets a 5% raise. How much does Emma earn in total in the first 11 years of her career?

Answers

Answer:

554,000

Step-by-step explanation:

that is the answer

Emma earns $554,064.80  in total in the first 11 years of her career

We are to determine the future value of $39,000 each year for 11 years given the growth rate of 5%

The formula for calculating future value:

FV = P (1 + r)^n

Where :

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

First year =  $39,000

Second year = 39,000 x (1.05) = $40,950

Third year = 39,000 x (1.05)^2 = $42,997.50

Fourth year = 39,000 x (1.05)^3 = $45,147.38

Fifth year = 39,000 x (1.05)^4 = $47,404.75

Sixth year = 39,000 x (1.05)^5 = $49,774.99

seventh year = 39,000 x (1.05)^6 = $52,263.74

eighth year = 39,000 x (1.05)^7 = $54,876.93

ninth year = 39,000 x (1.05)^8 = $57,620.78

tenth year = 39,000 x (1.05)^9 = $60,501.82

eleventh year = 39,000 x (1.05)^10 = $63,526.91

Sum of the earnings for the first eleven years = $554,064.80

To learn more about the future value of income, please check : https://brainly.com/question/19407218?referrer=searchResults

What's 672 divided by 32

Answers

the answer is 21, blessup my friend stay groovy

27x + 24y= 4.5

1.5x + y =0.225

Answers

Answer:

x = 0.1, y = 0.075

Step-by-step explanation:

Given the 2 equations

27x + 24y = 4.5 → (1)

1.5x + y = 0.225 → (2)

Multiplying (2) by - 24 and adding to (1) will eliminate the y- term

- 36x - 24y = - 5.4 → (3)

Add (1) and (3) term by term to eliminate y

- 9x = - 0.9 ( divide both sides by - 9 )

x = 0.1

Substitute x = 0.1 into either of the 2 equations and solve for y

Substituting into (2)

1.5(0.1) + y = 0.225

0.15 + y = 0.225 ( subtract 0.15 from both sides )

y = 0.075

Answer:

the values for x AND y are 0.1 and 0.075 respectively

help me with this math question

Answers

Answer: $89.27

Step-by-step explanation:

I added everything together than to find the tax I multiples the total amount by .13 or %13 and once I got that number and I added it to the total cost.

find the mean value of the following. 5, 11, 4, 10, 8, 6​

Answers

5+11+4+10+8+6 = 44
44/6 = 7.33….


answer: 7.33…..

A rectangle has a perimeter of 50m, the ratio between the two side is 32 . Caculator the area of that rectangle?

Answers

Answer:

Area of rectangle = 150 cm

Step-by-step explanation:

Given the following data;

Ratio = 3:2 Perimeter = 50m

To find the area of the rectangle;

First of all, we would determine the dimensions (length and width) of the rectangle;

For length;

Length, L = 2x

For width;

Width, W = 3x

Mathematically, the perimeter of a rectangle is given by the formula;

P = 2(L + W)

50 = 2(2x + 3x)

50 = 2(5x)

50 = 10x

x = 50/10

x = 5

Length, L = 2x = 2 * 5 = 10 cm

Width, W = 3x = 3 * 5 = 15 cm

Now, we would find the area of the rectangle;

Mathematically, the area of a rectangle is given by the formula;

Area of rectangle = length * width

Area of rectangle = 10 * 15

Area of rectangle = 150 cm

How do I find out the square root of a perfect square

Answers

The square root of a number (let’s say 25) refers to that number which when multiplied by itself will give the result as the given number (i.e. 25). In our case, the number is 5. We see that 5, when multiplied by itself (i.e. 5), will result in 25. Therefore, 25 is known as the square of 5, and 5 is known as the square root of 25.

Note:

(1) Multiplying two negative numbers will also result in a positive number. Therefore, (-5)*(-5) is also equal to 25. So, -5 is also a square root of 25. But, in general, we assume the square roots of a positive number to be a positive number.

(2) The square root of 1 is always 1.

We represent the square root of a number by a radical sign (√). Example: √36 = 6 (because 6 x 6 = 36)

Note:

(3) Finding the square root of a negative number (i.e. when the negative sign is inside the radical sign i.e. √-36) is a bit complex and is out of context for this article.

(4) if the minus sign is given outside the radical sign (i.e. -√36), then the answer will always be -6.



There are two types of numbers:

Numbers which are a perfect square: Product of an integer with itself. For example, 9*9 = 81.

Numbers which are an imperfect square: Multiplying any number with itself. For example, 2.236*2.236 = 5.

Finding the square root of an imperfect square is a little more difficult than finding the square root of a perfect square number. We will be covering both the topics in this particular article. But before that, we have to understand what square roots are used for.

For example, Rhea is looking for an apartment in Delhi. She is looking for a 2 bedroom apartment where she can live with her sister. A few phone calls later, she has shortlisted two places after seeing their pictures online. One is 1600 square feet with a balcony and the other is 2500 square feet with two balconies. Now, she can easily gauge the size of the first apartment as 40 feet by 40 feet. The second apartment would be 50 feet by 50 feet. This was just an example. Square roots are used for multiple purposes like these.



Now coming to our main topic, i.e., how to find the square root of a number?

(A) Perfect Square Numbers:-

Before finding the square roots of a number, we have to know the squares of the first 9 natural numbers.

1*1 = 1

2*2 = 4

3*3 = 9

4*4 = 16

5*5 = 25

6*6 = 36

7*7 = 49

8*8 = 64

9*9 = 81

I need help with this

Answers

Answer:

45

Step-by-step explanation:

Find the distance between the two points.
(-2,5)
✓ [?]
(4,-2)
Enter the number that
goes beneath the
radical symbol.
Enter

Answers

Answer:

√85

Step-by-step explanation:

We can find the distance between two points by using this formula

d = √(x2 - x1)² + (y2 - y1)²

Where the x and y values are derived from the two given points

The two given points are (-2,5) and (4,-2)

Remember that coordinates are written as (x,y)

Next we want to define our variables ( x2, x1, y2 and y1 are the variables)

x2 = 4

x1 = -2

y2 = -2

y1 = 5

Now to find the distance between the two points we simply substitute the values of the variables into the formula

Formula: d = √(x2 - x1)² + (y2 - y1)²

x2 = 4, x1 = -2, y2 = -2 and y1 = 5

d = √(4 - (-2))² + (-2 - 5)²

The two negative signs before the 2 cancel out and it changes to + 2

d = √(4 + 2)² + (-2 - 5)²

Add 4 and 2

d = √6² + (-2 - 5)²

Subtract -2 and -5

d = √6² + -7²

Apply the exponents

d = √36 + 49

Add 36 and 49

d = √85

We can conclude that the distance between the two points is √85

5
In the diagram, rhombus ABCD has sides of length 5 cm each and the length of the
diagonal AC is 8 cm.
(a) Find ABC
(b) Calculate the area of rhombus ABCD



Answers

Answer:

a) the angle ABC is approximately 106 degrees b) 24

Step-by-step explanation:

1) Using the law of cos

AC*AC= AB*AB+BC*BC-2*AB*BC*cosB

8*8= 5*5+5*5-2*5*5*cosB

64= 50- 50c0sB

cosB= 14/(-50)= -7/25.

B= arccosB= arccos(-7/25)= 106degrees.

2) sinB*sinB= 1- CosB*cosB= 1-49/625= 576/625

sinB= 24/25 (SinB doesn't equal -24/25, because B is between 0 and 180 degrress, so sin B is positive)

3) S= AB*BC*sinB= 5*5*24/25= 24 (area of the rhombus is 24)

What are the coordinates of the vertices of the image?
A) A'(9,8), B'(-3,-4), C'(1, 2), and D'(1,-2)
B) A'(3,4), B'(3,-4), C'(-5, 2), and D'(1, 2)
C) A'(3,8), B'(-3, 4), C'(1,-2), and D'(-1,2)
D) A'(-3, 4), B'(3,4), C'(5,-2), and D'(-1,-2)​

Answers

The answer is D good luck

Answer:

D

Step-by-step explanation:

I took the quiz

Element X is a radioactive isotope such that every 42 years, its mass decreases by
half. Given that the initial mass of a sample of Element X is 50 grams, how long
would it be until the mass of the sample reached 45 grams, to the nearest tenth of a
year?

Answers

Answer:

6.38548 years

Step-by-step explanation:

1 = 2 [tex]e^{42k}[/tex]

1/2 =   [tex]e^{42k}[/tex]

ln(1/2) = 42k ln(e)

ln(1/2)/42 = k

k = -0.01650

~~~~~~~~~~~~~~

45 = 50 [tex]e^{-0.01650t}[/tex]

45/50 =   [tex]e^{-0.01650t}[/tex]

ln(45/50) =  -0.01650 t ln(e)

ln(45/50)/ -0.01650 = t

t = 6.38548 years

The number of years for the radioactive element to reach a mass of 45 grams is given by t = 6.384129 years

What is half-life of an element?

The half-life of a radioactive isotope is the amount of time it takes for one-half of the radioactive isotope to decay. The half-life of a specific radioactive isotope is constant; it is unaffected by conditions and is independent of the initial amount of that isotope.

Half-life (symbol t½) is the time required for a quantity (of substance) to reduce to half of its initial value

The decay constant λ is = 0.693/t½

where t½ is the half-life of the element

Given data ,

Let the number of years be t

Let the initial mass of the element be a = 50 grams

The final mass of the element be ( a - x ) = 45 grams

Now , Element X is a radioactive isotope such that every 42 years, its mass decreases by half

And , half life t½ = 42 years

So , the decay constant k = 0.693/t½

k = 0.693 / ( 42 )

k = 0.0165

And , k= 2.303/t {log (a/a-x)}

So , t = 2.303 / ( 0.0165 ) log ( 50/45 )

On simplifying , we get

t = 6.384129 years

Hence , the number of years for the radioactive element to reach 45 grams is 6.384129 years

To learn more about half-life of an element click :

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Apply the distributive property to factor out the greatest common factor.
44+48=

Answers

Answer:

(40+4)+(40+48)

=40+(4+8)+4+8(40)

=44+48+12×40

if u add all

=104×40

=4160

Step-by-step explanation:

Plane R and Plane U intersect at which of the following?

Answers

Answer:

do you have any images with the questions?

Step-by-step explanation:

The above answer is correct
Other Questions
The equation A = 1/2bh (one halve) gives the area A of a triangle, where b is the lengthof the base and h is the height. Solve this equation for h. Identify the factors (new resources, increased productivity, education, technology, slave economy, territorial expansion) that increase economic growth.Describe how the Aztec nation created wealth from the nations surrounding them. At the end of seafloor spreading, where does the molten rock solidify? What is the surface temperature of Sirius B in Kelvins? Nolan was given a box of assorted chocolates for his birthday. Each night, Nolan treated himself to 3 chocolates. After 8 nights, there were 6 chocolates remaining in the box. nivel 1, captulo 5 7 Nutrition is the science of food which studies all of the following excepta) Digestion of food(b) Absorption of food(c) Menu at your birthday(d) Nutrients present in food 3(y+5)=15 someone please help me with this question my assignment is already late find the equation of a circle (3,2) (1,4) In the triangle, x = 3. Find y.A) y = 6B) y = 7y= V3D) y= 3.72 Evaluate the equation.3w = 96 A. w = 288 B. w = 32 C. w = -32 D. w = -288 What are the 20 national park of Nepal? Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team memebers who do not wear glasses, 30 percent of them are in the 10th grade. To the nearest whole percent, what is the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade?. Julio is putting a rectangular pool in his backyard. The length ofthe pool is 7 feet more than the width. The perimeter of the poolis 54 feet. What is the length of the pool?23.5471710 Stacie is writing about Wonder by R. J. Palacio.I started to follow her, but Julian cut right in front of me, which actually made me stumble backward."Oops, sorry about that!" said Julian.But I could tell from the way he looked at me that he wasn't really sorry at all.Which best shows that Stacie has made a personal connection to understand Augusts character?Once, after I hurt my brothers feelings, my parents told me to apologize. I was not really sorry at the time, but I had to apologize anyway. I know how August feels.Pushing people is a really mean thing to do. Julian was especially mean to push August, because August already has many physical challenges. I feel very sad for August.My older sister sometimes bothers me at home. She usually says she is sorry, but I know that she does not really mean it. I understand how frustrated August might feel.If I were a principal at the school, I would make a rule that no one could cut in line or shove people. This would help people like August, so he would not be pushed around.PLZ HURRY IN TIMED TEST Please help me with this question Write at least two paragraph about your opinion about the drawing below do it on the space provide Describe in short about the paper chromatography. Read the excerpt from Rip Van Winkle by Washington Irving. Having nothing to do at home, and being arrived at that happy age when a man can do nothing with impunity, he took his place once more on the bench, at the inn door, and was reverenced as one of the patriarchs of the village, and a chronicle of the old times before the war. It was some time before he could get into the regular track of gossip, or could be made to comprehend the strange events that had taken place during his torpor. How that there had been a revolutionary warthat the country had thrown off the yoke of old Englandand that, instead of being a subject of his majesty George the Third he was now a free citizen of the United States. Rip, in fact, was no politician; the changes of states and empires made but little impression on him. But there was one species of despotism under which he had long groaned, and that waspetticoat government. Happily, that was at an end; he had got his neck out of the yoke of matrimony, and could go in and out whenever he pleased, without dreading the tyranny of Dame Van Winkle. Whenever her name was mentioned, however, he shook his head, shrugged his shoulders, and cast up his eyes; which might pass either for an expression of resignation to his fate, or joy at his deliverance. How does this scene affect the text? It explains that just as America has gained freedom from the British, Rip has found freedom from his wife. It indicates that Rips experience in the mountains changed his attitude and behaviors for the better. It conveys the idea that Rips time away from his community has created distance between him and his friends. It provides important details about the causes and effects of the war and its impact on Rips community. when 8 is subtracted from a certain number and the result is multiplied by 3 the final answer is 21. What is the original number