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

Chris claims that any fraction located between 1/7
1/9 on a number line must have a
denominator of 8. Enter a fraction that shows Chris’ claim is incorrect.

Answers

Answer:

2/15

Step-by-step explanation:

if we multiple 1/7 and 1/9 by 2 we get 2/14 and 2/18. we can then get a fraction in between such as 2/15

Enter the slope-intercept equation for the image of line ℓ after a clockwise rotation of 90°. (Hint: To find the image of line ℓ, choose two or more points on the line and find the images of the points.)​

Answers

Answer:

y = -2x - 2

Step-by-step explanation:

From the graph attached,

If the line 'l' passes through two points A(0, -1) and B(4, 1).

Rule for the rotation of any point (x, y), 90° clockwise about the origin is,

(x, y) → (y, -x)

By this rule,

A(0, -1) → A'(-1, 0)

B(4, 1) → B'(1, -4)

Let the equation of the line A'B' is,

y - y' = m(x - x')

where m = slope of the line A'B'

And (x', y') is a point lying on the line.

Slope of the line passing through A' and B' will be,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{0+4}{-1-1}[/tex]

m = -2

Therefore, equation of the line passing through (-1, 0) and slope = -2,

y - 0 = (-2)(x + 1)

y = -2x - 2

So the equation of the line after rotation of lie 'l' by 90° clockwise will be,

y = -2x - 2

Your office window is a = 55 feet high. Looking out your window, you find that the top of a statue lines up exactly with the bottom of a building that is b = 700 horizontal feet from your office. You know that the statue is c = 225 feet from the building. How tall is the statue? (See the figure below. Round your answer to two decimal places.)

Answers

Answer:

nothing

Step-by-step explanation:

nothing will come because there is no figure

NUMBER 3 PLEASEEEEEEEE

Answers

Answer:

(-1,3), (1,0)

Step-by-step explanation:

13)
24 + f = 54
Show some work

Answers

Answer: 30

Step-by-step explanation:

24 + f = 54

f = 54 - 24

f = 30

Answer:

f=30

Step-by-step explanation:

You want to get x by itself on one side, so in order to do that, you need to subtract the 24, and if you do it one side, you need to do it to the other side.

That would give you:

24-24+f=54-24

then simplify it to be:

f=30

If 3x-y=12, then y/3=?

Answers

Answer:

4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

To find what y equals, x has to be 0.

3x-y=12

3(0)-y=12

-y=12        (multiply by -1 so y is not negative)

y=-12

Because y=-12 you need to do -12/3 to get your answer to y/3

-12/3=-4

Hats cost $4 each while scarves cost $3 each. John buys 5 items (all hats and scarves) and spends a total of $17. How many hats did he buy?

Answers

Answer:

2 hats

Step-by-step explanation:

4+4+3+3+3=17

Each hat costs $4 and each scarf costs $3.

He bought 5 items. Two of those items were hats.

The rest were scarfs.

The number of hats bought by John are 3

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let the hat is represented by x

scarves is denoted by y

Hats cost $4 each while scarves cost $3 each

John buys 5 items and spends a total of $17.

We need to find the number of hats.

3x+4y=17..(1)

x+y=5..(2)

x=5-y

Subtract x value in equation 1

3(5-y)+4y=17

Apply distributive property

15-3y+4y=17

15+y=17

Subtract 15 on both sides

y=2

x+2=5

x=3

Hence, the number of hats bought by John are 3

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

For the function h (2) = 9+ 6x , what is the domain of function h if the range is
{-12, -3, 15, 24}?

Answers

Answer:

x = 1/6 (h(2) - 9), h(2) element R

Cheryl has $100 on her subway gift card. Each week she buys the same lunch for $10. She wants to continue using the card until the balance remaining is $40. Write an equation to represent the situation

Answers

Answer:

100-60=40

Step-by-step explanation:

Answer:

In 6 weeks she will have $40.

Step-by-step explanation:

$100 - $10 - $10 -$10 - $10 - $10 - $10.

Or $100 - $60.

Simplify -9/6 divided by -3/2

Answers

-9/6 divided by -3/2 is equal to -9/6 times -2/3.
An negative times a negative is a positive
So the new prob is 9/6 times 2/3
you multiply across and you get 18/18
18/18 is equal to 1
there’s you answer hope it helps ✨

Sarah has a credit card balance of $9,450 with an APR of 17%. With her current budgeted payment, Sarah will be able to pay off this debt in 36 months. But Sarah’s best friend just invited her to spend two months in Europe with her in 9 months. Wanting to have her credit card balance paid off before she goes to Europe, Sarah decides to take on a second job. What additional monthly income will Sarah need in order to pay off her credit card in 9 months?

Answers

Answer:

C

Step-by-step explanation:


What is the measure of x?

Answers

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180 we can solve the question using this information

Please help me I’m stuck

Answers

Answer: oh no are you stuck

Step-by-step explanation: don't worry step sis ill help you :)

GUYS CAN SOMONE anser 2 QUESTIONS!? WHATS 8.97 IN WORD FORM AND EXPANDED FORM!?

Answers

Answer:

eight point nine seven, 8+0.9+0.07

Step-by-step explanation:

Don’t understand this question

Answers

i believe it would be A D E
not positive but pretty sure

PLEASE HELP These equations represent different possibilities for a waiter earning $11.25 for waiting on one table for one hour. The constant is the hourly rate and the coefficient represents the fraction of the bill, b, the customers left as a tip. Which equation correctly represents the hourly rate and tip for a bill of $30.00?

A. 5.00 + 1/6 b = 11.25

B. 5.25 +1/3 b = 11.25

C. 5.25 + 1/5 b = 11.25

D. 6.00 + 1/8 b = 11.25

Answers

Answer:

C

Step-by-step explanation:

Just took test n got it right

Answer:

C. 5.25 + 1/5 b = 11.25

Step-by-step explanation:

A restaurant manager classifies customers as regular, occasional, or new

Answers

Answer:

Step-by-step explanation:

I am sorry but please give detailed question

Students make 82.5 ounces of liquid soap for a craft fair. They put the soap in 5.5​-ounce bottles and sell each bottle for ​$4.50. How much do the students earn if they sell all the bottles of liquid​ soap?

Answers

Answer:

$63

Step-by-step explanation:

Answer:

they made 67.5$

Step-by-step explanation:

82.5÷5.5 is 15 15×4.50 would be 67.5

Find the value of x in the figure given that SU = 70.

Answers

Answer:

5

Step-by-step explanation:

m∠3 + m∠6 =180° True or False?

Answers

Answer:

False. Because it is the answer.

Answer:

false

Step-by-step explanation:

I agree with the first guy

you roll three six sided dice. what is the probability that exactly two of the dice are odd?

Answers

Answer:

3C2 * (.5)^2 * (.5)^1

.375

Step-by-step explanation:

...

The probability that exactly two of the dice are odd is 3/8

What is probability?

"It is finding out the possibilities of the occurrence of an event."

Formula to find the probability of an event:

"P(A) = n(A) / n(S)

where, n(A) is the number of favorable outcomes of an event A

n(S) is the total number of outcomes for an experiment"

What is Binomial theorem of probability?

[tex]P=~ ^nC_r\times p^r \times q^{n-r}[/tex]

where, p is the probability of success and q is the probability of failure

For given example,

We roll three six sided dice.

We need to find the probability that exactly two of the dice are odd

the probability of success i. e. dice is odd would be,

⇒ p = 3/6

⇒ p = 1/2

So, the probability of failure would be,

⇒ q = 1 - p

⇒ q = 1 - 1/2

⇒ q = 1/2

Also, n = 3 and r = 2

Using Binomial distribution the required probability would be,

[tex]\Rightarrow P=~ ^nC_r\times p^r \times q^{n-r}\\\\\Rightarrow P=~ ^3C_2\times (\frac{1}{2} )^2 \times (\frac{1}{2} )^{3-2}\\\\\Rightarrow P =\frac{3!}{3!(3-2)!}\times \frac{1}{4} \times \frac{1}{2}\\\\ \Rightarrow \bold{P=\frac{3}{8}}[/tex]

Therefore, the probability that exactly two of the dice are odd is 3/8

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

Write the equation 4x + 2y - 6 = 0 in the slope-intercept form (y = mx + b).

Answers

Answer:

y= -2x+3

Step-by-step explanation:

First, you want to isolate the variable 2y on its own.

It would look like this: 2y= -4x+6

Then, divide every term by two.

It would look like this: y=-2x+3

Hope it helped.  

Answer:

y= -2x+3

Step-by-step explanation:

Taylor is driving on the freeway at 55 miles per hour. What question finds her distance

Answers

Answer:

distance(miles) = number of hours driven * 55

Step-by-step explanation:

Solve the logarithmic equation by writing in exponential form or by graphing.

log (7 − 2x) = −1

Answers

Answer:

10^-1 = 7 - 2x

Step-by-step explanation:

PLEASE HELPPPP I WILL MAKE YOU THE BRANILEST The value of x and y are proportional. Find the Constant of Proportionality (k) and find the missing values. Explain in writing under each rate table.



X
9


5


y
36
16


8

Answers

I have no clue I think your in a higher grade than me sorry couldn’t help you

Solve the problem.
Two forces of 575 newtons and 271 newtons act at a point. The resultant force is 657 newtons. Find the angle between the forces.

Answers

The resultant force is

→F=321.9N at−165.4°

The equilibrant is

→Feq=321.9N at14.6°

Explanation:

This problem requires that we resolve the force vectors into x- and y-components.

Once this is done, we can add the components easily, as the one 2-dimensional problem will be two 1-dimensional problems.

Finally, we will convert the resultant force into standard form and find the equilibrant.

Resolve into components:

F1x=F1cos180°=215(−1)=−215N

F1y=F1sin180°=0N

F2x=F2cos(−140°)=126(−0.766)=−96.5N

F1y=F1sin(−140°)=126(−0.643)=−81.0N

Note the change of the angle used to give the direction of F2. Standard angles (rotation from the x-axis; counterclockwise is +) should be used to avoid sign errors in the results.

Now, we add the components:

Fx=F1x+F2x=−311.5N

Fy=F1y+F2y=−81.0N

Technically, this is the resultant force. However, it should be changed back into standard form. Here's how:

F=√(

15 POINTS!

An abandoned lot is to be converted into a community garden. The garden is to consist
of a 7 yard by 20 yard rectangle for planting that is surrounded by a path of uniform
width. The total area of the lot is 198 square yards. What is the width of the path?

SHOW WORK PLS TY

Answers

The answer is 7x20 and that equals 140 good luck

Don’t understand algebra 1

Answers

Answer: Try using Symbolab (i have no idea what the answer is sry)

describe the steps to determining and graphing a translation.

Answers

Answer:

A TRANSLATION OF A GRAPH is its rigid movement, vertically or horizontally. On the left is the graph of the absolute value function. On the right is its translation to a "new origin" at (3, 4). y = |x|.

Can you answer these 3

Answers

Answer: A. B. A.

Step-by-step explanation:

Other Questions
What is an above-the-line cost? A. the editors feesB. the scriptwriters feesC. a large set constructionD. food for the entire unitE. total equipment cost What is (21/6) * (-3 3/4)? : In which political system is the means of production controlled but not necessarily owned by the government? 14. The British used the Stamp Act, Intolerable Acts, and Tea Act to TRY TOCONTROL__in the colonies. Who did the Cayuse blame for the death offamily and friends from the measlesepidemic?A. Great BritainB. FranceC. The Whitmans Help please asap!!!! 10 times the sum of half a number x and 4 is 6 Cuento 2:Keisha es fuerte y atltica. Keisha es olvidadiza a veces. Keisha juega al rugby.Keisha tiene pelo morado y corto y ojos verdes. (Ella tiene pelo corto para protegerlodurante rugby.) Ella es una estudiante de North Side High School. Ella siempre camina ala escuelaUn dia Keisha camina a la escuela y ve a una persona especial. Es Kobe Bryant!Kobe no camina a North side, Kobe corre a una prctica de rugby porque su hijajuega al rugby.Kobe ve a Keisha. Keisha tiene una pelota de rugby. Kobe camina con Keisha. Kobedice - Buenos das. Cmo te llamas?--Me llamo Keisha, --responde Keisha.--Dnde est la prctica de rugby? -pregunta Kobe.Keisha est confundida. Ella se olvid que haba una prctica. -No hay unaprctica esta maana morning).--Tengo un mensaje de texto y muestra a Keisha su mvil.Keisha ve el mensaje. Keisha se siente pnico y corre a la prctica. Kobe no corre.Kobe est confundido.o Solve the following equation for b: -6 (-3-b) = 18 + 6b If the coupon interest rate is 4.375% for the first six months and changes to a rate equal to the 10-year Treasury bond rate plus 1.3% thereafter, the bond is called a bond. Which feature of a bond contract allows the issuer to redeem a bond issue immediately in its entirety at an amount greater than par value prior to maturity? Deferred call provision Call provision Put provision Convertible provision Which term is used to describe a call provision in which the issuer is prevented from calling a portion or the entire issue for several years during the early years of the bond issue? Sinking fund provision Declining call provision Deferred call provision 2000x100 guesss yall Round to the nearest hundredth 0.2189 5. A vehicle having a mass of 1000 kg had an accident on a wet, but level, concrete road under foggyconditions. The tires were measured to have y = 0.55 on wet concrete. The driver locked thebrakes, skidded for 6 seconds, and then hit the guardrail causing a very small dent because thevehicle stopped just as it touched the guardrail. The driver claimed to be driving 65 miles per hour(29 m/s). You have been hired as an investigator to determine if the driver is telling the truth.a. What is the weight of the vehicle?b. The frictional force produces the negative acceleration that reduces the velocity of thevehicle from its initial unknown speed to zero. Find the value of the frictional force.Use the frictional force to calculate the acceleration (remember that it is a negativenumber). Hint: Use Newton's 2nd Law.d. Using your acceleration from partc, what was the driver's initial velocity? Hint: Use thisequation - The final velocity is 0 m/s.6. Complete this form to let me know what your questions are. This helps me get you the help youneed - either during class or individually through videos Hydrogen is found as a gas on Earth but exists in all four states in the solarsystem. Four samples of hydrogen have equal masses but are each in adifferent state. Which statement about the relative amounts of thermalenergy in the samples is true? What allows oxygen to create polar molecules? -15=10x-40xwhat does x equal to The difference of twice a number and 3 is at most -21 4. Find the product. Simplifyyour answer.(5x + 1)(5x - 1) How many grams of F are in 225 g CaF2? The difference between a Product and a producer