1.13 UNIT TEST GRAPH OF SINUSOIDAL FUNCTION PART 1
What is the equation of the midline for the function f(x)?

f(x) =1/2 sin(x)+6

1.13 UNIT TEST GRAPH OF SINUSOIDAL FUNCTION PART 1What Is The Equation Of The Midline For The Function

Answers

Answer 1

Answer:

The equation of the midline for the function [tex]f(x)[/tex] is [tex]y = 6[/tex].

Step-by-step explanation:

The sinusoidal function of the form [tex]y = A_{o}+A\cdot \sin x[/tex] is a periodic function whose range is bounded between [tex]A_{o}-A[/tex] (minimum) and [tex]A_{o}+A[/tex] (maximum). The equation of the midline is a line paralel to the x-axis, that is:

[tex]y = c,\forall\, c\in \mathbb{R}[/tex] (1)

Where [tex]c[/tex] is mean of the upper and lower bounds of the sinusoidal function, that is:

[tex]c = \frac{(A_{o}+A+A_{o}-A)}{2}[/tex]

[tex]c = A_{o}[/tex] (2)

If we know that [tex]y = \frac{1}{2}\cdot \sin x + 6[/tex], then the equation of the midline for the function [tex]y[/tex] is:

[tex]c = A_{0} = 6[/tex]

[tex]y = 6[/tex]

The equation of the midline for the function [tex]f(x)[/tex] is [tex]y = 6[/tex].


Related Questions

help me please lol I will report if you troll​

Answers

Y = mx + b
m = slope, b = y intercept
Plug in the values

Solution: y = -2x + 3

PLEASE SOMEONE HELPPPPPPP

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Answer:

12, 25, 26, 26, 26, 34, 35, 39, 42, 42, 50, 72.

Step-by-step explanation:

A stem and leaf plot works like a digit separator. The left is the first number, which is usually repeated, and the right is the number you add to it.

In this example, 3 is used three times for the numbers 34, 35, and 39.

An amusement park sold 38 discount tickets and 12 full-price tickets. What percentage of the tickets sold were discount tickets?

Answers

76%

38+12 is 50
38 divided by 50 = 0.76 so
76% of tickets were discounted...

A figure is made up of with seven X rodes and five Y rodes . If X= 3 and Y= 5 calculate the perimeter with the formula.

OPTIONS:
8
46
50
40

Answers

46? Since we got 7*3+5*5 and that is 21+25=46.

please help
In the parallelogram below,
x = [? ]
3х+7
5x-17

Answers

Answer:

x = 12

Step-by-step explanation:

3х+7 = 5x-17

-2x = -24

Find y.
30
20
Need help asap

Answers

Answer:

y = 10

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{20}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 20 ( divide both sides by 2 )

y = 10

Can some help me pls

Answers

Answer:

1. 0=0

2. x= -3

3. 14=0

Step-by-step explanation:

I tried I'm sorry if it's wrong

if 1-3(y+2)=-32 find the value of y/3

Answers

Answer:

7.6

Step-by-step explanation:

-3 multiple by y and -3 multiple by 2 resolve to 7.6....

Donna made $357 for 17 hours of work. At the same rate, how many hours would she have to work to make $189?​

Answers

Answer:

9 hours.

Step-by-step explanation:

$357 / 17 = $21. ($21 per hour.)

$189/$21 = 9. BOOM

b+5b+6b 6a-4a 10a+3a+2a 9p+20p+8p 12x -10y 2+5x+3+5x Упрости выражения,где это возможно. ПОМОГИТЕ ПРОШУ!!!!!!!​

Answers

Answer:

i dont undersant what u r trying to say

Step-by-step explanation:

i thnk this is harsdath

There are 6 cartons of orange juice in each package shown above. Kelsi paid $10.50 for 6 cartons of orange juice. What is the unit price per carton of orange juice?


A) $1.25 per carton B) $1.60 per carton © $1.75 per carton D) $1.80 per carton​

Answers

Answer:

c) 1.75

Step-by-step explanation:

Answer:

1:75

Step-by-step explanation:

Please Answer!! Will give brainly!!

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Answer:

480 - 12.25d = 50

what is the value of x ?​

Answers

Step-by-step explanation:

The line JK is tangent to the circle h so <KJH is a right angle.

[tex]a^2+b^2=c^2[/tex]

[tex]15^2+20^2=x^2[/tex]

[tex]625=x^2\\x=25[/tex]

Hope that helps :)

the same thing as the other person is correct x=25

how many outfits could you make if you had 6 pants,7 shirts,and 4 pairs of shoes to choose from?
A. 66
B. 12376
C. 17
D. 168

Answers

Answer:

D

Step-by-step explanation:

6x7x4= 168

Helpppppp! No links please, thank you!

Answers

32, 60, 68

Hope this helps

Please somebody help me ASAP

Answers

it's recorded that out of 1000 people, 762 wear the corrective lenses.

just divide 762 from 1000 and multiply that result by 100.

762/ 1000 = .762

.762 x 100 = ? %

which is 76.2 %

so, we predict that 76.2% of Americans would wear corrective lenses.

Answer: 76.2 %

There were two times as many pepperoni pizzas as cheese pizzas, plus one pizza they ordered 13 pizzas altogether how many pepperoni pizzas were there? How many cheese pizzas were there

Answers

Answer:

pepperoni pizzas = 8

cheese pizzas = 4

Step-by-step explanation:

let x = cheese pizza

2x + x + 1 = 13

3x = 13 -1

3x = 12

x = 4

pepperoni = 2x4 = 8

PLEASE HELP ME and the first person that answers correctly will get... BRAINLIEST I promise.

Answers

Step-by-step explanation:

V≈75.4

A≈100.53

Please help me! I need help solving this!

Answers

Answer:

18

Step-by-step explanation:

if An = n+4

then A14 = 14+4 = 18

that's all .....have fun

I think the answer is 161

The solids are similar. Find the surface area of the red solid.

Answers

Answer:

756

Step-by-step explanation:

The ratio of areas is the square of the scale factor.

First, we find the scale factor from the blue solid to the red solid.

scale factor = 6/4 = 3/2

The ratio of areas is the square of the scale factor:

ratio of areas = (3/2)^2 = 9/4

volume of red solid = volume of blue solid * ratio of areas

volume of red solid = 336 m^2 * 9/4 = 756 m^2

Answer: S = 756 m^2

Find the area of the shaded region. Use the pin button on the calculator. Round to the nearest whole number. 14 70°

Answers

Answer:

The area is approximately [tex]588cm^2[/tex]

Step-by-step explanation:

Given

See attachment for figure

Required

The area of the shaded region

The shaded region is as follows:

A major segmentA triangle

First, calculate the area of the major segment using:

[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]

Where

[tex]r = 14[/tex]

[tex]\theta = 360 - 70 =290[/tex]

So, we have:

[tex]A_1 = \frac{290}{360} * 3.14 * 14^2[/tex]

[tex]A_1 = 495.7711[/tex]

Next, the area of the triangle using:

[tex]Area = \frac{1}{2}ab \sin C[/tex]

Where

[tex]a=b=r = 14[/tex]

[tex]C = 70^\circ[/tex]

So, we have:

[tex]A_2 = \frac{1}{2} * 14 * 14 * sin(70)[/tex]

[tex]A_2 = 92.0899[/tex]

So, the area of the shaded region is:

[tex]Area = A_1 + A_2[/tex]

[tex]Area = 495.7711 + 92.0899[/tex]

[tex]Area = 587.8610[/tex]

[tex]Area \approx 588[/tex]

The National Health Survey uses household interviews to describe the health-related habits of U.S. adults. From these interviews they estimate population parameters associated with behaviors such as alcohol consumption, cigarette smoking, and hours of sleep for all U.S. adults. In the 2005-2007 report, they estimated that 30% of all current smokers started smoking before the age of 16. We randomly select a sample of 100 smokers and calculate the proportion who started smoking before the age of 16.

Answers

Answer: hello your question is incomplete below is the missing part

Based on your simulation, what is the average amount of error you expect to see in the sample proportions in this situation?

answer : 0.0458

Step-by-step explanation:

In 2005 - 2007 : 30% of all current smokers started smoking before the age of 16

n ( sample size ) = 100 smokers

The average amount of error expected can be calculated as

[tex]\sqrt{pq/n}[/tex]  = [tex]\sqrt{0.3*0.7/100}[/tex] = 0.0458

where : p = 0.3

             q = 0.7

              n = 100

सैम ने पहले हफ्ते में 27 किग्रा आटा खरीदा और दूसरे हफ्ते
में 3 किग्रा आटा खरीदा तो सैम ने कुल कितना आटा​

Answers

Answer:

सैम ने 9 पाउंड आटा बनाया

Step-by-step explanation:

Select the correct answer.
If f(t)
- 6 and 9(3)
22 (
+ 3), find g(x) < f(x).
OA. 5/2 - 3232
- 1867
OB. 75
3VI3
18va
OC. 5
6vr
OD.
5
3.13 – 180

Answers

A

see attached for explanation

I hope it helps

The equation of a line in the form y = a number creates this kind of line.

Answers

Answer:

a diagonal one??? like its linear uhm okay here i have a picture one sec

Step-by-step explanation:

A graph line would be the core answer

Finding slope..

Photo included^

Answers

Answer:

slope=2/3

y intercept=4

Step-by-step explanation:

Which measurements are less than 475 ​inches?

Answers

Can you give me options ?

Please find the next fraction to this sequence! Right answers only!

Answers

Answer:

4/15

Step-by-step explanation:

Each fraction is 1/15 less than the previous.

If we make them all the same denominator,

then it would show as:

8/15

7/15

6/15

5/15

The next fraction would be 5/15 - 1/15

which is

4/15

Answer:

4                                                    1

__    because it goes down by ___

15                                                  15

Step-by-step explanation:

PLZ HELP I WILL GIVE BRAINLIEST Question 3
What are three different types of solutions you can get when you solve a system of
linear equations?
Answer:

Answers

Answer:

one solution

infinite number of solutions  

no solutions

Step-by-step explanation:

i hope this helps :)

Find the area of the figure. Round to the nearest hundredth

Answers

Answer:

let's divide the figure into two parts.

radius of the semicircle is 3.5m. two semi-circles make a circle and

area of circle=pi×r²

area of circle=22/7×(3.5m)2².

area of circle=38.5m²

area of rectangle=length ×width

area of rectangle =18m×7m

area of rectangle =126m²

area pf figure =38.5m²+126m²

area of figure=164.5m²

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