Write the equation of a sine function that has the following characteristics.
Amplitude: 7 Period: 9π Phase shift: 1/4

Type the appropriate values to complete the sine function.

Answers

Answer 1

Answer:

[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]

Step-by-step explanation:

we want to figure out the equation of a sine function that has the following characteristics.

Amplitude: 7Period: 9π Phase shift: 1/4

the standard form of sine function is given by

[tex] \displaystyle y = a\sin(bx-c)+d[/tex]

where:

a is the amplitudeb can be sorted out using the equation 2π/b=periodC refers to phase shift

Finding a and phase shift:

a and c is simply given which is

a=7C=¼

finding b:

using the equation we acquire:

[tex]\dfrac{2\pi}{b}=9\pi[/tex]

solving the equation for b,we obtain:

b=2/9

finding d:

Since d Isn't mentioned, we would assume it 0

finding the equation:

substitute what we got:

[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]

and we're done!


Related Questions

Jackie converted the following decimals to fractions which decimal did she convert incorrectly

Answers

Answer:

Step-by-step explanation:

-> What is the remainder of 46 divided by 48?

Answers

one 1

please mark in brain list

the answer would be 0.9583

Triangle TAB has a perimeter of 40 cm. Could the measures of the sides, as shown, actually represent the measures of the sides of a triangle? Justify your answer.

Answers

Answer:

NO

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side. And this MUST true for ALL combinations

12 +8    IS NOT greater than 20

4x +2x+2 +x+3 = 40

7x +5=40

7x =3 5

x=5

side 4x  =  20

side x+3 = 8

side 2x+2 = 12

            20 +8 is bigger than 12

             20+12 is   bigger than 8

             12 + 8  IS NOT BIGGER than 20  (it's just the same)

Stacy owes 13.65 for text messging in the month of September if her text messaging plan cost 12 for the first 300 messages and 5c for each text message how many text messages did she send that month

Answers

Answer:

need points

Step-by-step explanation:

Which expression is equivalent to 4/9 × 7

key:
1. 9÷4×7
2. 4×7÷9
3. 4÷7×9
4. 7×9÷4

Thank you :)​

Answers

2 is the correct answer

Kenny and Ben start competing businesses selling hats. Kenny buys supplies, costing $3, before he starts selling his
hats for $0.50 each.
Ben sells his hats for $0.25 each and spent only $1 on supplies. At
what point have they sold the same number of hats and made the
same profit (income minus costs)?
HELP PLZ

Answers

Answer:

Once Kenny gets 6 hats sold, he could gain the $3 he spent back, and once Ben sells 4 hats, he could gain the $1 he spent back.

Step-by-step explanation:

Use the theorem in Sec. 28 to show that if f (z) is analytic and not constant throughout a domain D, then it cannot be constant throughout any neighborhood lying in D. Suggestion: Suppose that f(z) does have a constant value ωo throughout some neighborhood in D.

Answers

Answer:

The value of f(z) is not constant in any neighbourhood of D. The proof is as explained in the explaination.

Step-by-step explanation:

Given

For any given function f(z), it is analytic and not constant throughout a domain D

To Prove

The function f(z) is non-constant constant in the neighbourhood lying in D.

Proof

1-Assume that the value of f(z)  is analytic and has a constant throughout some neighbourhood in D which is ω₀

2-Now consider another function F₁(z) where

F₁(z)=f(z)-ω₀

3-As f(z) is analytic throughout D and F₁(z) is a difference of an analytic function and a constant so it is also an analytic function.

4-Assume that the value of F₁(z) is 0 throughout the domain D thus F₁(z)≡0 in domain D.

5-Replacing value of F₁(z) in the above gives:

F₁(z)≡0 in domain D

f(z)-ω₀≡0 in domain D

f(z)≡0+ω₀ in domain D

f(z)≡ω₀ in domain D

So this indicates that the value of f(z) for all values in domain D is a constant  ω₀.

This contradicts with the initial given statement, where the value of f(z) is not constant thus the assumption is wrong and the value of f(z) is not constant in any neighbourhood of D.

Will give the brainliest answer and 20 points to anyone who can give a complete answer and not a scam link or a joke answer or begging for points (those 3 types of answers will be reported)

A grocery store manager notices that this month her store sold a total of 571 gallons of ice cream, which represents a decrease of 18% from last month. How much ice cream did the store sell last month? Round your answer to the nearest integer.

The store sold ____________ gallons of ice cream last month.

Answers

Answer:

673.8

Step-by-step explanation:

Solve for x:
3x - 6 = 12

Answers

Answer:

x = 6

Step-by-step explanation:

3x - 6 = 12

3x = 18

x = [tex]\frac{18}{3}[/tex]

x = 6

x = 6

i did the work on paper so i hope this helps!!

If ADB= 15° then What is ACB

Answers

Answer:

30 degrees

Step-by-step explanation:

<ACB is a central angle while <ADB is an inscribed angle.

Central angles are twice the size of inscribed angles.

Therefore, <ADB*2 = <ACB . 15*2=30

Please help I’m stuck

Answers

Answer:

96

Step-by-step explanation:

Its a pattern :) BTW can you help with mine please

plz help for a brainly

Answers

Answer:

364yd^2

Step-by-step explanation:

LxWxH

Answer:

its 364

Step-by-step explanation:

you do length times width times height

Find the 8th term of the geometric sequence show below

Answers

Answer:

Alli khanaw .................

Answer:

8x^36

Step-by-step explanation:

first term (a) = [tex]8x^{8}[/tex]

Second term (t2)= [tex]8x^{12}[/tex]

common ratio (r)

= [tex]\frac{8x^{12} }{8x^{8} }[/tex]

= [tex]x^{4}[/tex]

now the 8th term of the G.S is

t8 = [tex]ar^{n-1}[/tex]

  = [tex]8x^8 * (x^4)^8^-^1[/tex]

  = [tex]8x^8 * (x^4)^7\\[/tex]

  = [tex]8x^8 *x^2^8\\= 8x^3^6[/tex]

hope it will help

find the area of the triangle ! be sure to include the correct unit with the answer. (yd) , (yd2) , (yd3) .

HELP PLEASE ! i really need it . thank you

Answers

Answer:

70 yd²

Step-by-step explanation:

Area of triangle = (1/2)(base)(perpendicular height)

= (1/2)(20)(7)

= 70 yd²

Consider the function g(x) = StartLayout Enlarged left-brace first row negative 9, x less-than 11 second row 7, x greater-than-or-equal-to 11 EndLayout.

What is Limit of g (x) as x approaches 11, if it exists?

–9
–1
7
DNE

Answers

The limit as g(x) approaches 11 doesn't exist.

[tex]\lim_{x \to 11} g(x) = DNE[/tex]

It looks like you are working with the following piecewise defined function:

[tex]g(x)=\left \{ {{-9;x<11} \atop {7;x\geq11}} \right.[/tex]

There is a rule in calculus that tells us that for a limit to exist, both lateral limits must be the same as x approaches a given value. This is:

[tex]\lim_{x \to a^{-}} f(x)=\lim_{x \to a^{+}} f(x)[/tex]

if and only if this is true, then:

[tex]\lim_{x \to a^{-}} f(x)=\lim_{x \to a^{+}} f(x)=\lim_{x \to a} f(x)[/tex]

if that condition isn't met, then the limit doesn't exist.

So let's calculate the lateral limits for this function:

[tex]\lim_{x \to 11^{-}} g(x) = -9[/tex]

This means that as x approaches 11 from the left, the function will return a value close to -9

Now, let's calculate the lateral limits for this function:

[tex]\lim_{x \to 11^{+}} g(x) = 7[/tex]

This means that as x approaches 11 from the right, the function will return a value close to 7

You can better visualize this in the graph of the function which I attached to this answer.

Notice that both lateral limits are different, from the left you got a -9 and from the right you got a 7. Therefore, according to the rule I wrote above, the limit does not exist.

For more information on this topic, you can go to the following link:

https://brainly.com/question/17334531?referrer=searchResults

Answer:

D) DNE

Step-by-step explanation:

edge 2021

How many ways can a dozen books be placed on four distinguishable shelves if no two books are the same, and the positions of the books on the shelves matter (ie. if Book 1 is to the left of Book 2, that is different from if Book 1 is to the right of Book 2)

Answers

Answer:

217945728000 ways

Step-by-step explanation:

Given

[tex]Books = 12[/tex] --- 1 dozen

[tex]Shelf = 4[/tex]

The given condition implies that;

[tex]Book\ 1 = 4[/tex] ---- any of the 4 shelves

[tex]Book\ 2 = 5[/tex] --- any of the 4 shelves and either ways of book 1

[tex]Book\ 3 = 6[/tex]  --- any of the 4 shelves and either ways of book 1 and 2

-----------------------

----------------

----------

[tex]Book\ 12 = 15[/tex]

So, the number of ways is:

[tex]Ways = 4 * 5 * 6 * 7 * 8 * 9 * 10 * 11 * 12 * 13 * 14 * 15[/tex]

[tex]Ways = 217945728000[/tex]

Help me on this plz

Answers

Ok I will try I will tell you when I am done

NO LINKS/FLIES PLEASE .

Morgan pays $25 in monthly fees for her baseball team's uniforms and field rental. What kind of expense is the fee she pays?

A. Variable

B. Income

C. Fixed

D. This would not be an expense.

Answers

I would say it is a fixed fee because it doesn’t change

find the hypotenuse if the base is 300 and altitude is 400​

Answers

Answer:

okAy

Step-by-step explanation:

hypo(square) = altitude(square)+base,(square)

so hypo(square) =300(square)+400(square)

Answer:

500

Step-by-step explanation:

300² + 400² = 500²

pythagorean theorem

is this right please hep

Answers

17 meters because 5^2+12^2=17 meaning the answer must be d

Answer:

yes you are right! the answer is c

Step-by-step explanation:

**reminder: the hypotnuse is always your longest side**

first do 5 square = 25

then do 12 squared = 144

now add 25+144= 169

and finally you do 169 square root which equals 13

Hope this helped!

Kurt recorded the amount of rainfall in each month for one year. What was the total rainfall that​ year?

Answers

Answer:wheres the question

sadStep-by-step explanation:

sadsadsa

Compare the value of the 3 in 340, 500 to the value of the 3 in 3,160,000
Which statement is true?

Answers

Answer:

C.

Step-by-step explanation:

A swimming team has 16 members. The coach wants to create teams of 4 swimmers to compete in the relay race. How many different teams of 4 can she make without repetition? ​

Answers

There is 1820 ways of teams of 4 can she make without repetition using combination formula.

What is combination?

  Selections are another name for combinations. The choice of items from a predetermined group of items corresponds to combinations. We don't want to organise anything here. We are going to choose them. We use the notation nCr to indicate how many distinct r-selections or combinations there are among a set of n objects. A combination is distinct from an arrangement or a permutation. No matter how the objects are arranged, combinations are produced by choosing some or all of them.

Here There are 16 total swim team members and 4 swimmers that will be chosen for each relay team.

So, n=16 and r=4. Then

=> nCr =  [tex]\frac{n!}{r!(n-r)!}[/tex]

=> 16C4 = [tex]\frac{16!}{4!(16-4)!}[/tex]

=> 16C4 = [tex]\frac{16!}{4!*12!}[/tex]

=> 16C4 = [tex]\frac{16*15*14*13}{4*3*2*1}[/tex]

=>16C4 = 4*5*7*13 = 1820

Hence there is 1820 ways  of teams of 4 can she make without repetition.

To learn more about combination refer the below link

https://brainly.com/question/28065038

#SPJ1

A rectangular parking lot has a length that is yards greater than the width. The area of the parking lot is square yards. Find the length and the width.

Answers

Answer:

length =  18yd

Width = 10yd

Step-by-step explanation:

Complete question

A rectangular parking lot has a length that is 8 yards greater than the width. The area of the parking lot is 180 square yards. Find the length and the width.

Area of the parking lot - length * width

A = LW

Given

Area = 180sq. yd

If the parking lot has a length that is 8 yards greater than the width, then;

L = 8 + W

The area becomes;

A = (8+W)W

180 = 8W+W²

W²+8W - 180 = 0

W²+18W-10W - 180 = 0

W(W+18)-10(W+18) = 0

(W-10)(W+18) = 0

W-10 = 0

W = 10yd

Since L = 8 + W

L = 8 + 10

L = 18yd

Hence the length and the width area 18yd and 10yd respectively

Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.

Answers

Answer:

Answer B will be the best answer for your question.

Step-by-step explanation:

Polygons usually have straight sides, but this one does not.

Simplify the expression x^5 •x^7?

Answers

X^5+7

Hope this helps

Lulu finished a race in 42 minutes. Last year she took 3 minutes longer. Which equation can be used to find her finishing time last year?

Answers

you should add two sums to get higher equation that means he took 45 minutes last year that is

42+3=45

-3x-6=12 what does x equal

Answers

Answer:

-6

Step-by-step explanation:

The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair.
Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 2x − 3
Function 1 has the larger maximum at (1, 4).
Function 1 has the larger maximum at (4, 1). Function 2 has the larger maximum at (1, −2).
Function 2 has the larger maximum at (−2, 1).

Answers

Answer:

A.) Function one has a larger maximum at (4,1)

Step-by-step explanation:

The function f(x) = -x² + 8x - 15 will have larger maximum at ( 4,1 ) so option (B) will be correct.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

A function can be regarded as a computer, which is helpful.

Given 1 function,

f(x) = -x² + 8x - 15  

f(x) = -(x² - 8x + 15 )

f(x) = - [(x - 4)² - 16 + 15 ]

f(x) = -(x-4)² + 1

So vertex will at ( 4,1 )

In function 2,

f(x) =  −x² + 2x − 3

f(x) = - [ x² - 2x + 3 ]

f(x) = -[ (x-1)² - 1 + 3 ]

f(x) = - (x-1)² - 2

So vertex will at ( 1, -2 )

Since in function(1) maximum is at y = 1 while in function (2) maximus is at y = -2

Hence Function 1 has the larger maximum at (4, 1).

For more about the function

brainly.com/question/23712366

#SPJ5

13
Use the circle below for
questions 13-16.

Answers

Answer:

NK=12

Step-by-step explanation:

x^2 +9^2=15^2

x^2+81=225

subtract 81

x^2=144

x=12

(This is only for number 13, I don't know the answer to 14-16)

Using the Pythagoras theorem, the value of NK is 12.

What is the Pythagoras theorem?

The sum of the squares of the lengths of the other two sides of a right triangle equals the square of the hypotenuse's length.

It is given that, NL=9, and KL=15.

Use the Pythagoras theorem,

[tex]& \Rightarrow {{15}^{2}}=N{{K}^{2}}+{{9}^{2}} \\ & \Rightarrow 225-81=N{{K}^{2}} \\ & \Rightarrow NK=\sqrt{144} \\ & \Rightarrow NK=12 \\[/tex]

Therefore, the value of NK is 12.

Learn more about the Pythagoras theorem, here

https://brainly.com/question/343682

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