Write a sine function that has a midline of 5, an amplitude of 3 and a period of 5/4

Answers

Answer 1

Answer:

[tex]\displaystyle y = 3sin\:1\frac{3}{5}\pi{x} + 5[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = 3cos\:(1\frac{3}{5}\pi{x} - \frac{\pi}{2}) + 5} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 5 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{5}{16}} \hookrightarrow \frac{\frac{\pi}{2}}{1\frac{3}{5}\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1\frac{1}{4}} \hookrightarrow \frac{2}{1\frac{3}{5}\pi}\pi \\ Amplitude \hookrightarrow 3[/tex]

OR

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1\frac{1}{4}} \hookrightarrow \frac{2}{1\frac{3}{5}\pi}\pi \\ Amplitude \hookrightarrow 3[/tex]

From the above information, you should now have an ideya of how to interpret trigonometric equations like this.

I am delighted to assist you at any time.


Related Questions

The local hamburger shop sold a combined total of 552 hamburgers and cheeseburgers on tuesday there werw 52 more cheeseburgers sold than hamburgers how many hamburgers were sold on tuesday

Answers

Answer:

250 Hamburgers

302 cheeseburgers

Step-by-step explanation:

you sold X number of hamburgers

and x+52 number of cheeseburgers

total was 552

make an equation x+x+52=552

so 2x+52=552

now solve for x

x=250

to find cheeseburgers

(250)+52=302

hamburgeres =x=250

Help me please please please

Answers

Answer:

I think it would 12 and 14

Find the unit rate. 3/8 mile in 3/4 hour

Answers

Hope this helps if not comment back

We are required to find the unit rate, that is, miles per hour

The unit rate is 1/2 miles per hour

Number of miles = 3/8 mileNumber of hours = 3/4 hour

Therefore, unit rate =

= 3 / 8 ÷ 3/4

= 3 / 8 × 4/3

= 12/24

= 1/2

Read more:

https://brainly.com/question/8406966

the cost of the food that was originally 300 php was reduced to 180 php. what was the percent of the reduction​

Answers

Answer:  60% of 300 is 180

3 times what equals -18​

Answers

Answer:

-6

Step-by-step explanation:

Let "what" be termed as "x".

Set the equation:

3 * x = -18

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 3 from both sides:

(3x)/3 = (-18)/3

x = -18/3

x = -6*

*Note: When you divide a negative number with a positive number, your answer will be negative.

-6 is your answer.

~

The value of number which is 3 times to -18 is -6 .

Given,

3 *x = -18

So,

Let "what" be termed as "x".

Form the equation including the variable x ,

3 * x = -18

Isolate the variable, x.

Note the equal sign, what you do to one side, you do to the other. Divide 3 from both sides:

(3x)/3 = (-18)/3

x = -18/3

x = -6

-6 is the required answer .

Know more about equations,

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The sum of two numbers is (−12). What two numbers could you have?

Answers

2 and -6 or -6 and 2

Answer:

you could have something like umm -36 + 30 It also gives the answer as -12 so I guess you could choose any two numbers that add up to -12

While vacationing, Rosalie sees a mountain and its reflection on the still water of a lake. She draws the mountain and its reflection as a projection on the coordinate grid, treating the x-axis as the line of reflection. In her drawings, she represents the summit of the mountain using the coordinates (-6,8) .

What are the coordinates of the summit in her projection?
will mark brainlest

Answers

Answer:

I would say (2,-9) is her projection

Answer:

ok bet my niqgqa

Step-by-step explanation:

Vanessa solved 244 problems in a recent Marathon. She solved four times as many problems as her friend Bethany. What equation could be used to find the correct solution?



A) 244 = 4 B
B) (244) 4 = B
C) 244 B = 4
D) 244 + 4 = B

Answers

Answer:

b

Step-by-step explanation:

Answer:

b) 244*4= b

Step-by-step explanation:

Kirin is saving money to enter a craft fair with his new jewelry business. The entry fee is $150. He sells bracelets for $4 each and he has saved up $36. so far. What is the least number of bracelets he would need to sell to afford the entry fee?​

Answers

Answer:

28.5 equals ab 29 bracelets

Step-by-step explanation:

Answer:

29 bracelets

Step-by-step explanation:

The first thing you (always) need to do is highlight important details. Some things you should highlight are: The entry fee is $150, He makes $4 off of each bracelet, and that he has $36 so far. We know that 4 times 10 is 40. if we add 40+ the 36, we get 76. now we need 74 more dollars, so let's do: 74 divided by 4 = 18.5. since we can't do that, we add one more bracelet to make it 19. This makes sure we get enough money for the fee. All we have to do now is add is together. 10+19= 29 bracelets

Slope worksheet. Please help me!!!

Answers

Use the slope formula, do the same for each question.
Slope= y2-y1/x2-x1
Question 4: (-1,-2) and (1,0)
-1 is x1, -2 is y1
1 is x2, 0 is y2
0- -2=2 (0 subtract -2, two minus signs equal to an addition sign.)
1- -1=2
2/2= 1
The slope is 1.

use the model to solve 4 friends equally split in one half of a pound of candy how much will each friend get​

Answers

Model-? I don't see a model?-

Answer:

.25 pounds

Step-by-step explanation:

Unfortunately, the type of model that is supposed to be used is not given so I will just solve what I can. So each friend gets and equal amount. If we have 1 pound in the beginning, and 4 friends, then we have to divide the candy by 4. So we do 1 pound/4=.25 pounds. If you want to go above and beyond, we can always convert the pounds into ounces and make it so each friend gets 4 ounces of candy.

Please explain how to solve: 35.15 x 3.7

Answers

Answer:

multiply

Step-by-step explanation:

you multiply them together to get the answer. I do not know how else to explain really.

4hundred 38tens and 18ones. What number am I?

Answers

Answer:

798

Step-by-step explanation:

to get the answer you add 400 + 380 + 18

Answer:

400 + 380 + 18 = 798 :)

(5x^2)^3+16y divide 4y for x=2andy=3

Answers

Answer:

30 2/3

Step-by-step explanation:

Consider the functions f(x) = 5x – 2, g(x) = 5x² + 2 and r(x) = –2x + 4.
Evaluate f(g(5)).


10 points!

Answers

Answer:

f(-2x+4) = -10x+18

Step-by-step explanation:

Answer:

733 I hope that helps! Sorry if its incorrect

!!!!Translate the sentence into an equation!!

The sum of 7 times a number and 3 is 6.

Answers

Answer:

7x + 3=6 that is the equation

How do I find the value ?

Answers

Answer : 125/27
decimal : 4.629630

write the following numbers in words 560 451 2008​

Answers

Answer: five billion six hundred four million five hundred twelve thousand eight

Step-by-step explanation:

1.If mZA = 4x+12 and x = 15, is ZA acute, obtuse, or right? Explain or justify your answer.

2.Given: ZBAM is a right angle. If mZBAM = 4x + 22, then solve for the value of x.

Answers

9514 1404 393

Answer:

acute17

Step-by-step explanation:

1. Put the value of x in the expression and see what the angle measure is.

  m∠A = 4x +12 = 4(15) +12 = 60 +12 = 72

The angle is less than 90°, so is acute.

__

2. The measure of a right angle is 90°, so you have ...

  4x +22 = 90

  4x = 68 . . . . . subtract 22; next, divide by 4

  x = 17

A box contains 3 green marbles, 5 blue marbles, and 7 red marbles. Three marbles are selected at random from the box, one at a time, without replacement. Find the probability that the first two marbles selected are not red, and the last marble is red. Round your answer to four decimal places.A box contains 3 green marbles, 5 blue marbles, and 7 red marbles. Three marbles are selected at random from the box, one at a time, without replacement. Find the probability that the first two marbles selected are not red, and the last marble is red. Round your answer to four decimal places.

Answers

Answer:

The probability is  [tex]P(K)  =   \frac{ 28 }{195} [/tex]

Step-by-step explanation:

From the question we are told that

   The number of green marbles is  [tex]n_g  =  3[/tex]

    The number of red marbles is  [tex]n_b  =  5[/tex]

     The number of red marbles is  [tex]n_r  =  7[/tex]

Generally the total number of marbles is mathematically represented as

       [tex]n_t  =  n_r  +  n_g + n_ b[/tex]

        [tex]n_t  =  7 +  3 + 5[/tex]

         [tex]n_t  = 5 [/tex]

Generally total number of marbles that are not red is  

     [tex]n_k  =  n_g +  n_ b[/tex]

=>  [tex]n_k  =   3 +   5[/tex]

=>  [tex]n_k  =  8[/tex]

The probability of the first ball not being red is mathematically represented as  

      [tex]P(r') =  \frac{n_k}{n_t}[/tex]

=>  [tex]P(r') =  \frac{ 8}{15}[/tex]

The probability of the second ball not being red is mathematically represented as

      [tex]P(r'') =  \frac{n_k - 1}{n_t -1}[/tex]

=>  [tex]P(r'') =  \frac{ 8 -1 }{15-1}[/tex] (the subtraction is because the marbles where selected without replacement  )

=>  [tex]P(r'') =  \frac{ 7 }{14}[/tex]

The probability that the first two balls  is  not red is mathematically represented as

    [tex]P(R) =  P(r') *  P(r'')[/tex]

=>  [tex]P(R) =  \frac{ 8}{15} *   \frac{ 7 }{14}[/tex]

=>  [tex]P(R) =  \frac{ 8 }{30}[/tex]

The probability of the third ball being red is mathematically represented as

   [tex]P(r) =  \frac{n_r}{ n_t -2}[/tex] (the subtraction is because the marbles where selected without replacement  )

     [tex]P(r) =  \frac{7}{ 15 -2}[/tex]

=>    [tex]P(r) =  \frac{7}{ 13}[/tex]

Generally the probability of the first two marble not being red and the third marble being red is mathematically represented as

        [tex]P(K)  =  P(R) * P(r)[/tex]

         [tex]P(K)  =   \frac{ 8 }{30} * \frac{7}{ 13}[/tex]

=>      [tex]P(K)  =   \frac{ 28 }{195} [/tex]

r(x)=2[tex]\sqrt{x}[/tex] s(x)=[tex]\sqrt{x}[/tex]

(rs)(4)

Answers

Answer:

Im not sure

Step-by-step explanation:

but I advise you use a calculator or as an teacher

what is the slope of the line that goes through the points (-3,8) and (0,23)?

Answers

Answer:

m=5 or the slope is 5

Step-by-step explanation:

This is because you use the expression y2-y1/x2-x1

Answer= slope is 5 or m=5

Pang dagdag points niyo.... sagutan niyo nalang ng tamang sagot, yung tamang sago i high rate ko......

2×2×4÷5-8+10=?​

Answers

Answer:

26/5

Step-by-step explanation:

(2)(2)(4)/5 −8+10

(4)(4)/5−8+10

=16/5−8+10

=−24/5+10

=26/5

Alternate form

5.2


The answer :

26/5

The explanation :

Are the given lines parallel? Explain your reasoning.
3. y = 2, y = -4

Answers

Yes, because they will never intersect which means they are always the same distance apart.

please help i need this urgently

Answers

Answer:

Angle YZX = 19.7 degrees

This is the same as saying angle Z = 19.7 degrees

====================================================

Explanation:

Since there are only three letters, and nothing else, we can refer to "angle YZX" as "angle Z" to shorten things. The middle letter is what determines the vertex of the angle.

With Z as the reference angle, side XY = 7.5 is the opposite side. It's the leg furthest from the reference angle. SIde ZY = 22.3 is the hypotenuse. The hypotenuse is always opposite the 90 degree angle.

We'll use the sine rule since it connects the opposite and hypotenuse

sin(angle) = opposite/hypotenuse

sin(Z) = XY/ZY

sin(Z) = 7.5/22.3

sin(Z) = 0.336323

Z = arcsin(0.336323)

Z = 19.653008983888

Z = 19.7

In this case, rounding to 3 sig figs means rounding to 1 decimal place (the first two digits are part of the whole number while the last digit is the decimal portion).

Make sure your calculator is in degree mode. The notation "arcsin" refers to arcsine which is the same as inverse sine. Your calculator would likely have the button [tex]\sin^{-1}[/tex] to indicate inverse sine.

Answer:

Degrees: 19.7

Radians: 0.343

Step-by-step explanation:

First, let x = angle YZX.

You can solve this using sine (which as a reminder, is opposite over hypotenuse):

sin(x) = 7.5/22.3

x = arcsin(7.5/22.3)

Now you can grab out a calculator and evaluate.

If it's in degrees: 19.7

If it's in radians: 0.343

(Remember to round to 3 significant figures like the problem said)

I hope this helped you.

9. Tony bought x boxes of cookies to bring to a party. Each box has 28 cookies. He decides
to keep 2 boxes for himself. He brings 84 cookies to the party.
Which equation can be used to find the number of boxes Tony brought to the party?
A. 2x - 28 = 84
B. 28x - 2 = 84
C. 28x – 56 = 84
D. 56 – 28x = 84

Answers

The correct answer is C. 28x – 56 = 84

Explanation:

Writing an equation using a description or situation involves including all the factors mentioned and relating these appropriately through mathematical symbols. In the case presented, the correct equation is 56 – 28x = 84. This is because this equation includes the total of boxes Tony took to the party 84 and this has been correctly included after the symbol =. Also, the total of boxes is equal to the boxes tony bought each with 28 cookies, which can be represented as 28x (x represents the value of boxes that multiplied by 28 leads to the total of cookies) minus the cookies Tony bought (2 boxes each with 28 cookies). This makes the final equation to be 28x – 56 = 84.

The times for three runners in a 100 yard dash are 9.85 s, 9.6 s and 9.625 s. What is the winning time?

Answers

Answer:

9.6 is first

Step-by-step explanation:

9.6 , 9.625, then 9.85 is the order finished the race, the larger the time (number)  the later they crossed the finish line

Hope this helps : )

2 2/5 x 5/7 in simplest form

Answers

Answer:

1 5/7

Step-by-step explanation:

2 2/5 x 5/7

= 12/5 x 5/7

= 12/7

1 5/7

Question
Solve the following system of equations.
- x² – 3y² = - 12
–4x² - y² = -37
Provide your answer below:
I
I need the exact answer please. There are 8 sets of answers for this question what are they fill in the question mark. I hope I’ll get my answers quickly. Thank you
(?,?),(?,?),(?,?),(?,?)

Answers

Answer:

(3,1)   (3,-1)   (-3,1)   (-3,-1)

Step-by-step explanation:

PLZ SOLVE FAST FOR 800 ROBUX TOO

Answers

Answer:

[tex] x = 22.5[/tex]

[tex]180 - 4x + 2x = 6x \\ x = 180 \div 8 = 22.5 \\ so \: x = 22.5[/tex]

Answer:

22.5

Step-by-step explanation:

username Maxracker1

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