What is the domain of the sine and cosine functions?

What Is The Domain Of The Sine And Cosine Functions?

Answers

Answer 1

Remember that the domain is all possible x values of a function. In the case of sine and cosine functions, they go up and down (like waves), but go on forever. Therefore, the domain is all real numbers.

Correct Answer: B, All Real Numbers

Hope this helps!

Answer 2
Answer: B.  All real numbers

Explanation:

For the equations y = sin(x) and y = cos(x), we can replace x with any real number we want. The output y value will be between -1 and 1, inclusive of both endpoints.

The graph for each function shows a bouncing wave stretching forever to the left and right. This visually confirms the domain.


Related Questions

Number 4 is 10x24.9


Help me plz and PLZ NO LINKS

Answers

Answer:

1. Estimate: $20

2. Estimate: $24

3. Estimate: 20

4. Estimate: 250

Step-by-step explanation:

Hope this helps ;)

IS THIS RIGHT???????????????????

Answers

Answer:

yes it is correct 10% is the answer

Answer:

No, the correct answer is 20%

Step-by-step explanation:

2 from 10 total failures

2/10 = 0.2

(100)(0.2)=20%

Hope this helps.

Which solution correctly solves the problem 5x - 16 = 79?

Answers

Answer and Step-by-step explanation:

Alright, so we have the problem 5x-16=79. First, we need to add 16 to both sides of the equation to cancel out the 16 like this:

5x - 16 = 79

    + 16 + 16

     5x = 95

Now we need to divide the 5 into the 5x to cancel out the 5. This will leave us with the variable left over like this:

x = 95

      5

Five can be divided into 95, so 95 divided by 5 = 19. So the answer is:

x = 19

I hope this helps.

The solution to the given equation is 19.

The given equation is 5x-16=79.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 5x=79+16

5x=95

x=95/5

x=19

Therefore, the solution to the given equation is 19.

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A landscaper wants to increase the size of one of his square gardens. The garden measures 8 feet on each side. The landscaper
plans to increase each side of the garden to be 175% of its current measure.
How many square feet larger is the area of the new garden than the area of the current garden?
A. 260ft
B.160ft
C.132ft
D.48

Answers

Answer:

its c

Step-by-step explanation:

The area of the new garden will be 132ft longer than that of the current garden

Area of the square

The formula for calculating the area of a square is expressed as:

A = L²

If the garden measures 8 feet on each side, then;

A = 8²

A = 64ft²

If the side length is increased by 175%, hence new length will be;

l = 8 + (1.75*8)

A = 14 * 14ft

A = 196 ft²

Difference = 196 - 64

Difference = 132ft

Hence the area of the new garden will be 132ft longer than that of the current garden

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One step equations

24 = 4c
What is the answer?

Answers

Divide every side by 4, then u got:
c=6

[tex] \sf \: 24 = 4c[/tex]

[tex] \: \: \: [/tex]

[tex] \sf \: 24 \div 4 = c[/tex]

[tex] \: \: \: [/tex]

[tex] \boxed{ \sf \pink{ c = 6}}[/tex]

What is the solution to this equation?

−14(x+123)=−215


x=15 7/15

x=10 7/15

x=7 2/15

x=2 2/15

Answers

i got x = -1507/14 and the altérnate form of that is x = -107 9/14

A newspaper carrier has ​$4.40 in change. He has six more quarters than dimes but three times as many nickels as quarters. How many coins of each type does he​ have?

Answers

Answer:

10 quarters, 4 dimes and 30 nickels

Step-by-step explanation:

Given:

Quarter = 25c, their number is qDime = 10c, their number is dNickel = 5c, their number is nTotal amount = $4.40 = 440 c

Equations:

q = d + 6n = 3q25q + 10d + 5n = 440

Solve by substitution:

n = 3q = 3(d + 6) = 3d + 1825(d + 6) + 10d + 5(3d + 18) = 44025d + 150 + 10d + 15d + 90 = 44050d + 240 = 44050d = 200d = 4

Find n and q:

n = 3*4 + 18 = 30q = 4 + 6 = 10

is 0.42 > 0.5 reasonable ? explain.

Answers

Answer:

No.

Step-by-step explanation:

It's not reasonable because 0.42 in decimals makes it smaller because of more digits.

Question on pic thank you

Answers

Answer:

$13.75

Step-by-step explanation:

Discount:(25 x 45)/100 = $11.25.   Final Price:25 - 11.25 = $13.75

Answer:

hope it help u

happy to help !

$13.75

16 A local bank donated 4,074 pencils to distribute equally among the 42 sixth-grade dasses in the district. How many pencils did each class receive?​

Answers

Answer: 97

Step-by-step explanation:

4,074/42=97

you just divide 4,074 from 42

A science club is made up of 18 girls and 12 boys. Four of the girls and 5 of the boys are also in the Spanish club.

What percent of the science club is also in the Spanish club?

Answers

Answer:

Step-by-step explanation:

Add 18+12=20

20-(5+4)=11

Make 11 into a fraction over 100. Then take your numerator and that is your percent. Make sure your percentage is behind the decimal.

What percent of 56 is 21?
A: 3/8%
B: 3 3/4%
C: 37 1/2%
D:375%

Answers

Answer:

[tex]37\frac{1}{2}[/tex]

Step-by-step explanation:

let x be the percent

Now we have

x% of 56=21

x/100=21/56

x=100x21/56

x=[tex]31\frac{1}{2}[/tex]%

The percent of 56 that is equal to 21 is 37 1/2%  by setting up a proportion and solving the equation. This means that 37 1/2% of 56 is equal to 21.

To find the percentage, we can set up a proportion. Let x represent the unknown percentage:

x/100 = 21/56

To solve for x, cross-multiply:

56x = 100 * 21

56x = 2100

Divide both sides of the equation by 56 to isolate x:

x = 2100/56

Simplifying the fraction, we get:

x = 37 1/2%

Therefore, the answer is option C: 37 1/2%.

To find the percentage of 56 that is equal to 21, we can set up a proportion between the unknown percentage and the given values. The proportion is x/100 = 21/56. Cross-multiplying and solving the equation yields x = 37 1/2%. This means that 37 1/2% of 56 is equal to 21.

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The daily listening audience of an AM radio station is four times as large as that of its FM sister station. If 105,000 people listen to these two radio stations, how many listeners does the FM station have?

Answers

The number of listeners is given from the total number of listeners and

the ratio of the listeners between the two stations.

Required:

The FM sister station has 21,000 listeners

How is the given ratio of listeners used to find the number of listeners?

Given:

The daily listening audience of the AM station = 4 × The audience of the FM sister station

The number of people that listen to the two stations = 105,000

Required:

The number of listeners of the FM station

Solution:

The ratio of the listeners is 1:4

Let x represent the number of listeners of the FM sister station, we have;

The number of listeners of AM radio station = 4·x

Which gives;

4·x + x = 105,000

5·x = 105,000

[tex]x = \dfrac{105,000}{5} = \mathbf{21,000}[/tex]

The number of listeners of the FM sister station, x = 21,000

The number of listeners of he radio station = 21,000 × 4 = 84,000

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What is the reciprocal: 4 2/3

Answers

Answer:42/3

            =3/42

Step-by-step explanation:

If there are 2 black stars and 3 white stars what is the ratio of white stars to black

Answers

Answer:

1:2

Step-by-step explanation:

For every black star there is 2 white stars.

Use the diagram and the given information to answer the question. Gavin is in his office, deciding where to go to lunch. The distance from the deli to the coffee shop is 18 miles. The distance from Gavin’s office to the coffee shop is 24 miles. How many miles is the pizza place from Gavin’s office?

Answers

Answer:

uhh.. I can't give you an answer because I don't have enough information

Step-by-step explanation:

I need some numbers on the pizza place.. I have no information that can lead me to the answer. do you have the diagram?

Including a 6% sales tax, an inn charges $155.82 per night. Find the inn's nightly cost before tax is added.

Answers

we know the Inn is charging 155.82 and that's 100% plus 6%, namely 106% of an amout of say that is "x", being the 100%.

since we know that 155.82 is 106%, what is "x"?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 155.82&106\\ x&100 \end{array}\implies \cfrac{155.82}{x}=\cfrac{106}{100}\implies \cfrac{155.82}{x}=\cfrac{53}{50} \\\\\\ 7791=53x\implies \cfrac{7791}{53}=x\implies 147=x[/tex]

Given: Circle K(O), r=3), AB=2, AC=4, and O is on exterior of

Answers

Answer:the answer Part 7) is

the name of the radius of the smaller circle is AB

Step-by-step explanation:

Let n be the middle number of three consecutive Integers. Write an expression for the sum of these Integers.

Answers

Consecutive integers are those that occur one after the other. Let's use 2, 3, 4 as an example.


The middle number is 3 (n). To get to 2 from 3, we need to subtract 1 (n - 1). To get to 4 from 3, we need to add 1 (n + 1).

Now that we understand how to get to each number from the middle number, we can create our expression.

(n - 1) + n + (n + 1)

(n + n + n) + (1 - 1)

3n + 0

Answer: 3n

Hope this helps!

Answer:

3n

Step-by-step explanation:

We know that:

n is the middle number of the three consecutive numbers.The three consecutive numbers can be represented as n - 1, n, n + 1.

Solution:

=> x + n + y (n = middle number)=> n - 1 + n + n + 1 (n = middle number)=> 3n

Hence, the sum of the three consecutive numbers is 3n.

You went shopping last weekend and bought a new shirt. The shirt had an original price of $39.00 but it was on sale for 35% off the regular price. The sales tax is 6%. What is the total price you will pay for the shirt?

Answers

Answer:

$26.87

Step-by-step explanation:

if the shirt was 35% off, then you paid 65% of the cost

that value can be found by:

39 x .65 = 25.35 (this is the amount paid for the shirt)

sales tax of 6% on 25.35 is:

.06 x 25.35 which equals 1.52

25.35 + 1.52 = 26.87


1/5 and 5/6
what number could be a common denominator for these two fractions:

Answers

30 because 5x6= 30. All you have to do if the fractions are already simplified, is multiply the denominators together.

If f(x) = -x2 – 1, and
g(x) = x + 5, then
f(g(x)) = –x2 + [ ? ]x + [ ]

Answers

Answer:

- x² - 10x - 26

Step-by-step explanation:

Given:

f(x) = - x² - 1g(x) = x + 5

Find f(g(x)):

f(g(x)) = f(x + 5) = - (x + 5)² - 1 = - x² - 10x - 25 - 1 = - x² - 10x - 26

[tex]\\ \tt\hookrightarrow f(x)=-x^2-1[/tex]

[tex]\\ \tt\hookrightarrow g(x)=x+5[/tex]

Now

[tex]\\ \tt\hookrightarrow f(g(x))[/tex]

Put g(x) value

[tex]\\ \tt\hookrightarrow f(x+5)[/tex]

[tex]\\ \tt\hookrightarrow -(x+5)^2-1[/tex]

[tex]\\ \tt\hookrightarrow -(x^2+10x+25)-1[/tex]

[tex]\\ \tt\hookrightarrow -x^2-10x-25-1[/tex]

[tex]\\ \tt\hookrightarrow -x^2-10x-26[/tex]

Someone help. Urgent! I need someone to answer this! Factor -5b – 5c!

Answers

Answer:

the answer you are looking for is-10

Step-by-step explanation:


A man bought a bicycle for $900 and sold for $1080:
a. Did he make a profit or loss? (1 mark)
b. Calculate his profit or loss. (2 marks)
c. Calculate his profit or loss percent. (2 marks​

Answers

Answer:

A. he made a profit

B. he made $180

C. his profit percent is 17%

Step-by-step explanation:

Answer:

a) he made a profit

b)since profit =selling price - cost price

then $1080-$900

=$180

c)profit percent= profit/cost price * 100

$180/$900*100

=180/9

profit percent =20

hope I helped

cindy had 12 black shoes and 4 red shoes in her closet. what is the ratio of red shoes to black shoes?

Answers

Answer:

the answer is B because 3x4 is 12

Given points $A(2,3)$, $B(-1,4)$, and $C(-2,-2)$, determine point $D$ so that the slope from $A$ to $B$ equals the slope from $C$ to $D$, and the slope from $A$ to $D$ equals the slope from $B$ to $C$.

Answers

Answer:

D is approximately (-2, -1)

Step-by-step explanation:

[tex]{ \tt{slope \:AB = slope \: CD }} \\ \\ { \tt{ \frac{(4 - 3)}{( - 1 - 2)} = \frac{(y - ( - 2))}{(x - ( - 2))} }} \\ \\ { \tt{ \frac{1}{ - 3} = \frac{y + 2}{x + 2} }} \\ \\ { \tt{x + 2 = - 3y - 6}} \\ { \underline{ \tt{ \green{ \: \: 3y + x = - 8 \: \: }}}}[/tex]

[tex]{ \tt{slope \: AD= slope \: BC}} \\ \\ { \tt{ \frac{y - 3}{x - 2} = \frac{ - 2 - 4}{ - 2 - 1} }} \\ \\ { \tt{ \frac{y - 3}{x - 2} = \frac{6}{3} }} \\ \\ { \tt{ \frac{y - 3}{x - 2} = 2}} \\ \\ { \tt{y - 3 = 2(x - 2)}} \\ { \tt{y - 3 = 2x - 4}} \\ { \underline{ \tt{ \blue{ \: \: y - 2x = - 1 \: \: }}}}[/tex]

Solve the green equation and blue equation simultaneously:

[tex]{ \boxed{ \tt{ \red{ \: y \approx - 2 \: \: }}and \: \: { \red{x \approx - 1}}}}[/tex]

Let the co-ordinates of D be (a,b)

Slope of AB =Slope of CD

[tex]\\ \tt\hookrightarrow \dfrac{4-3}{-1-2}=\dfrac{b+2}{a+2}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{-1}{2}=\dfrac{b+2}{a+2}[/tex]

[tex]\\ \tt\hookrightarrow -a-2=2b+4[/tex]

[tex]\\ \tt\hookrightarrow a+2b+6=0\dots(1)[/tex]

Slope of AD=Slope of BC

[tex]\\ \tt\hookrightarrow \dfrac{b-3}{a-2}=\dfrac{-2-4}{-2+1}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{b-3}{a-2}=6[/tex]

[tex]\\ \tt\hookrightarrow 6a-12=b-3[/tex]

[tex]\\ \tt\hookrightarrow 6a-b-9=0\dots(2)[/tex]

Multiplying 2 with eq(2)

[tex]\\ \tt\hookrightarrow 12a-2b-18=0\dots(3)[/tex]

Add eq(1) and (3)

[tex]\\ \tt\hookrightarrow 13a-12=0[/tex]

[tex]\\ \tt\hookrightarrow a=12/13=0.9\to 1[/tex]

Put in eq(1)

[tex]\\ \tt\hookrightarrow 12/13+2b+6=0[/tex]

[tex]\\ \tt\hookrightarrow 90/13=-2b[/tex]

[tex]\\ \tt\hookrightarrow b=-90/26=-3 4\to 3[/tex]


What is 2/3 of 2 feet

Answers

Answer:1.33333333 feet (1 foot 4 inches)

Step-by-step explanation:

Answer:

1 1/3, or 1.3333333333

Step-by-step explanation:

[tex]\frac{2}{3}*\frac{2}{1}\\2*2=4\\3*1 = 3\\\frac{4}{4} or 1\frac{1}{3}, or 1.33333333333[/tex]

please I'm in urgent need of help.
The letters of the word MISSISSIPPI are cut and placed in a bag. if one letter is drawn randomly from the bag, the probability that it is neither an I nor an S is?​

Answers

Answer:

probablity = 8/11 percent

Step-by-step explanation:

let's first write the number of letters

M - 1

I - 4

S - 4

P - 2

the probability of not getting a I or S will be

letters of I + Letters or S

4 + 4

= 8

the probability of not getting 8 letters are

total letters = 11

probablity = 8/11 percent

Answer:

6/55

Step-by-step explanation:

4/11 x 3/10 = 6/55

Printed
27 pages in 54 seconds how long to print 1 page

Answers

Answer:

2 seconds

Step-by-step explanation:

Given 27 pages printed in 54 seconds, we can determine the average time it'll take to print one page by dividing 54 by 27.

54 / 27 = 2

PLEASE SOLVE AND CHECK. SHOW COMPLETE SOLUTION

Answers

Answer:

-2/3= x

Step-by-step explanation:

square all the terms on both sides to get rid of the radicals:

[tex]1^{2} + (\sqrt{1-x} )^{2} = (\sqrt{2x+4}) ^{2}[/tex]

exponent 2 and the radical cancel each other:

1 + 1 - x = 2x + 4

2 - x = 2x + 4

like terms on each side ( when you move one term tp the other side, it changes its sign ):

2-x = 2x+4

2-4 = +x +2x

-2 = 3x

now to keep the x alone, divide both sides by 3:

-2/3 = 3x/3

-2/3= x

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