The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function.

1.What is the phase shift, h, of this curve?
2.What is the vertical shift, k, of this curve?
3.What is the amplitude, a, of this curve?
4.What is the period and the frequency factor, b, of this curve?
5.Write an equation using the cosine function that models this data set.

The Following Sinusoid Is Plotted Below. Complete The Following Steps To Model The Curve Using The Cosine

Answers

Answer 1

Answer:

A.) phase shift is h=6

B.) Vertical shift is 21 units down

C.) The amplitude is 5 from the midline at y= -21

D.) The period is 16 and the frequency factor is pi/8

E.) 5 cos(pi/8(x-6))-21

Step-by-step explanation:

Find your minimum and maximum values. This would help you find the amplitude and the vertical shift. To find amplitude, the formula is A= (absolute value) of the max minus the min and divide by 2. To find vertical shift, you add the max and min values and divide by 2. The period is the distance of the max and min values and then doubled. The distance was 8 units so the period was 16. To find frequency factor, just plug in your values. You know that the formula is Period= 2pi/b. So it would be 16= 2pi/b. The frequency factor should be pi/8 after you cross multiply and then divide. To write the equation, you substitute the values into the equation of acos(b(x-c))+d. Make sure to put parentheses or else the graph will look wrong.


Related Questions

4z-10=14 *
I can’t get the answer please help

Answers

Answer:

z = 6

Step-by-step explanation:

4z - 10 = 14

    + 10   +10

4z = 24

24 ÷ 4 = 6

n = 6

what is 1555 times 67

Answers

Answer:

104185

Step-by-step explanation:

Answer:

104,185

Step-by-step explanation:

Keith bought 8 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 30 cards left. How many cards did Keith start with?
please help!!!

Answers

Answer:

52 cards

Step-by-step explanation:

call the amount he started with " x "

then he bought 8 cards

so the new equation is

x+8

then he lost half of his cards

so now the equation is

(x + 8 )/2

that amount to 30 cards as per what is given in the problem

so now the equation is

( x + 8 )/2 = 30

solve using inverse operations and simplifying

( x + 8 )/2 = 30  

         *2    *2

x + 8 = 60

   -8     -8

x = 52

What do you do when you crashed your mom's SUV into a lake and you cannot get out and your slowly sinking? Please respond quick because the water is already up to my knees

Answers

Answer:

try breaking the windows when the car is submerged so pressure can break the windows and then you can hopefully swim through the windows.

Divied. Reduce the awnser to lowest terms 4/5 divided by 16/15

Answers

Answer:

B:3/4

Step-by-step explanation:

4/5÷16/15= 4/5×15/16= 60/80.

And take 60/80 ÷ 2= 3/4

complete the pattern 444 4440 44,400 444,000 ______ _______ what goes on does 2 spots

Answers

Answer:

4440,000 and 44.400,000

Step-by-step explanation:

All you do is add another zero to the end

Which point is on the line that passes through point Z and is perpendicular to line AB? (–4, 1) (1, –2 ) (2, 0) (4, 4)

Answers

Answer:

the answer is (-4,1)

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

Find the measure of the indicated angle.
14
?
29

Answers

Answer:

15

Step-by-step explanation:

I guess it is 29-14 which obviously is 15 as we know

Find the factors of each number.
2. 20
1. 14
Identify the first five multiples for each number.
4. 3
3. 2
6. 5
5. 6
8. 7
7. 8

Answers

they are listed very weirdly so i will go according to your numbering system
2- 1, 20, 2, 10, 4, &5
1- 1, 14, 2, 7

4- 3,6,9,12,15
3- 2,4,6,8,10
6-5,10,15,20,25
5- 6,12,18,24,30
8- 7,14,21,28,35
7- 8,16,24,32,40

Homer sold cupcakes and cookies yesterday. Each cupcake sold for $2.25 and each cookie sold for $0.25. At the end of the day, Homer has sold $55.50 worth of cookies and cupcakes. If he sold 54 cupcakes and cookies combined, how many cupcakes were sold and how many cookies were sold

Answers

Answer: 21 cupcakes and 33 cookies were sold.

Step-by-step explanation:

Let x= Number of cupcakes

y = Number of cookies

As per given,

x+y= 54       (i)

Cost: 2.25x+0.25y=55.50          (ii)

Multiply 0.25 to (i0, we get

0.25x+0.25y = 0.25(54)

⇒0.25x+0.25y = 13.5         (iii)

subtract (iii) from (ii), we get

2x=42

Divide both sides by 2, we get x= 21

Put this in (i) , we get 21+y =54 ⇒ y= 54-21= 33

Hence, 21 cupcakes and 33 cookies were sold.

Heather wants to purchase an electric guitar the price of the guitar with tax is $2,240.if she can save $90 per month how linf will it take her to save up for the guitar

Answers

Answer:

25

Step-by-step explanation:

What is the least common denominator of 3/5 and 2/15?

Answers

Answer:

15

Step-by-step explanation:

3/5 = 9/15

2/15 = 2/15

The least common denominator of 3/5 and 2/15 is 15

The least common denominator is the least product value of the given fractions

To do that, we will find the greatest value between the denominators of each fraction

Given the fractions 3/5 and 2/15, we can see that the two integers at the nominator are 5 and 15.

Since 5 can go in 15 without remainder, we do not need to multiply both integers again. The least common denominator will be the greatest value between 5 and 15 and that is 15.

Hence the least common denominator of 3/5 and 2/15 is 15

Learn more here: https://brainly.com/question/10600831

I have sandwich 11/12 of a foot long and 3/4 of it has pepperoni on it, how much of the sandwich doesn’t have pepperoni on it.

Answers

Answer:

2/12 or 1/6

Step-by-step explanation:

Make common denominators, 3/4 turns into 9/12. Take away 9/12 from 11/12, simplify if needed, and boom! done!

A technician finds they have only 65% of the length of fabric they need to make the collars. Complete the steps below to help them find how much more fabric they need.

Answers

Answer:

131.25

Step-by-step explanation:

you need to minus  375 and 243.75

angles 2 and angle 7 are ??? angles​

Answers

Answer:

D alternate exterior angle

Step-by-step explanation:

Answer:

vertical angles

vertical angles are congruent angles located diagonally opposite each other.

I need help with homework in GoMath, 5th Grade, Lesson 2.5

Answers

Can you show a photo of the lesson you need help with

at a local coffee shop, about 20% of the customers who buy coffee also buy a pastry. if they have 300 customers buying coffee about how many pastries should they expect to sell?

Answers

Answer:

60

Step-by-step explanation:

7)
A bag of five bananas costs £1. A bag of four grapefruits costs £2.40. How much
more does one grapefruit cost than one banana?

Answers

Step-by-step explanation:

£2.40 - £1

= £1.40

Therefore,

£1.40 more one grapefruit cost than one banana.

Answer:

4.4 pounds

Step-by-step explanation:

1. Divided 5 by 1. Which equals 5.

2. Divided 2.40 by 4. Which equals 0.6.

3.Last subtract 5 from 0.6. Which is 4.4.

Help my daughter please k gtg

Answers

Answer:

5.7, 4.6, 5.6, 6.7

Step-by-step explanation:

Answer:

2.63+3.07= 5.7

9.4-4.8= 4.6

3.92+1.68= 5.6

8.5-1.8= 6.7

let f(r) be the number of riders on a bus r hours after 8 am. Explain the meaning of the statement f(5)=23.

Answers

Answer:

See explanation

Step-by-step explanation:

Given

f(r) => Number of people in the bus after 8am

Required

Interpret f(5) = 23

Going by the analysis in the question, the interpretation goes this:

5 hours after 8 am, there are 23 riders on a bus

We can also interpret as:

There are 23 riders on a bus at 1 pm

Since 1 pm = 5 hours after 8am

3x + 6 = y

solve for x

Answers

Answer:

x=1/3y - 2

Step-by-step explanation:

Two side of a triangle have the following measures. Find the range of possible measures for the third side.

8, 9



_______ < x < _______

Answers

Answer:

8<x<9

Step-by-step explanation

We would like to know the velocity of the block when it reaches some position x. Finding this requires an integration. However, acceleration is defined as a derivative with respect to time, which leads to integrals with respect to time, but the force is given as a function of position. To get around this, use the chain rule to find an alternative definition for the acceleration ax that can be written in terms of vx and dx/ dx.

Answers

Answer:

An alternative definition for the acceleration ax that can be written in terms of [tex]v_x[/tex] and [tex]\frac{dv_x}{dx}[/tex] is [tex]a_x=v_x \frac{dv_x}{dx}[/tex]

Step-by-step explanation:

We know that :

[tex]a_x=\frac{dv_x}{dt}[/tex]

Now we are supposed to find an alternative definition for the acceleration ax that can be written in terms of [tex]v_x[/tex] and [tex]\frac{dv_x}{dx}[/tex]

So, We will use chain rule over here :

[tex]a_x=\frac{dv_x}{dt}\\a_x=\frac{dv_x}{dt} \times \frac{dx}{dx}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt}\\a_x=\frac{dv_x}{dx} \times \frac{dx}{dt} [\frac{dx}{dt}=v_x]\\a_x=\frac{dv_x}{dx} \times v_x\\a_x=v_x\frac{dv_x}{dx}[/tex]

Hence an alternative definition for the acceleration ax that can be written in terms of [tex]v_x[/tex] and [tex]\frac{dv_x}{dx}[/tex] is [tex]a_x=v_x \frac{dv_x}{dx}[/tex]

The alternative definition for the acceleration ax that can be written in terms of vx and dx/ dx is [tex]a_x = v_x \frac{dv_x}{dx}[/tex]

Chain rule:

Here we used the chain rule:

It is the basic method for differentiating a composite function. Here the first factor on the right, Df(g(x)), represents that the derivative of f(x) is first found and then x, wherever it arises, is replaced by the function g(x).

So,

[tex]a_x = \frac{dv_x}{dt}\\\\ = \frac{dv_x}{dt} \times \frac{dx}{dx}\\\\= \frac{dv_x}{dx} \times \frac{dx}{dt}\\\\ = \frac{dv_x}{dx} \times \frac{dx}{dt} (\frac{dx}{dt} = v_x)\\\\ = \frac{dv_x}{dx} \times v_x\\\\= v_x\frac{dv_x}{dx}[/tex]

Learn more about time here: https://brainly.com/question/11325462

Is this relation a function? Justify your answer.

Please help me!! 5:45pm est! Answer as soon as you can!

Answers

Answer:

D

Step-by-step explanation:

playstation or xbox be smart​

Answers

Xbox and PlayStation both have their own good features but Xbox wins overall against PlayStation in specs, games, graphics, streaming, remote play, UI and basically everything.

I have played both btw

Any arguments in the comment section

Answer:

Depends

Step-by-step explanation:

If you want better exclusives get a playstation.

UI the playstation UI is better because it is simple.

Game subscriptions. xbox game pass subscription is better because it has more games and most games get released on game pass as soon as they release.

The points Q, R, S and T all lie on the same line segment, in that order, such that the
ratio of QR:RS: ST is equal to 1:4:5. If QT = 40, find RS.

Answers

Answer:

RS=3

Step-by-step explanation:

Solve for x:

6x+3x+x=10

All parts add up to whole

10x=10

Combine like terms

x=1

Use x to solve for segment lengths:

QR=6x=6(1)=6

RS=3x=3(1)=3

ST=x=1

Therefore RS=3

The length of the line segment RS will be 16 units.

What are collinear points?

An axis is a term used to describe a line on which points are located, particularly if that line is connected to a triangle or other geometric shape. Since two factors determine a line, two points are transparently collinear. If the points are in a line, then the points are collinear points.

Let Q, R, S, and T be the collinear points. Then the condition of the collinear will be

QR + RS + ST = QT

The points Q, R, S, and T all lie on the same line segment, in that order, such that the ratio of QR:RS: ST is equal to 1:4:5. If QT = 40.

Let QR / 1 = RS / 4 = ST / 5 = x

QR = x

RS = 4x

ST = 5x

Then the value of the variable x will be

QR + RS + ST = QT

x + 4x + 5x = 40

10x = 40

x = 4

Then the length of the line segment RS will be

RS = 4x

RS = 4 (4)

RS = 16

Then the length of the line segment RS will be 16 units.

More about the collinear points link is given below.

https://brainly.com/question/1593959

#SPJ2

What is the value of X?

Answers

Answer:

x=92 degrees

Step-by-step explanation:

53+45=98

180-98=92

92 is answer

X= 92 degrees I think

help me pleeeaseeee​

Answers

Answer:

-2

Step-by-step explanation:

solve for n: 10/60 =n/84

Answers

Answer:

n=14

Step-by-step explanation:

The college tutoring center staff are considering whether the center should increase the number of math workshops they offer to help students improve their performance in math classes. Faculty would like to know if requiring student attendance at these math workshops will improve overall passing rates for their students in their math classes. They plan to use the number of workshops attended to predict the final exam score and regression analysis to determine the effectiveness of the mandatory workshop attendance policy.

For each of the following classify the variable as explanatory, response, or neither.

a. Whether the student attended a workshop.
b. Number of workshops attended
c. Whether the student passes the course

Answers

Answer:

a. Whether the student attended a workshop.   Neither

b. Number of workshops attended.  Explanatory variable

c. Whether the student passes the course. Response variable

Step-by-step explanation:

In a given experiment, the response variable addresses the core of the question that was asked. In the experiment above, we are trying to determine the passing rate. That is the response variable. The explanatory variable provides an explanation for the response.

The number of workshops attended by the students would provide an explanation of their passing rates.  Whether the student attended a workshop is not a consideration in the experiment, because it is believed that they would attend the workshop.

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