1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tatiana [17]
2 years ago
12

1. A sine function has the following key features:

Mathematics
2 answers:
andrew11 [14]2 years ago
8 0
Problem 1

See the attached image (figure 1)

16pi seems like a typo. I'm going to assume that it's a fraction and it is 1/(6pi)
f = 1/(6pi) = frequency
T = 1/f = 1/(1/(6pi)) = 6pi
Amplitude = 2
a = 2
b = 2pi/T = 2pi/(6pi) = 1/3
Midline: y = 3
d = 3

The function is
y = a*sin(bx-c)+d
y = 2*sin(1/3*x-0)+3
y = 2*sin(x/3)+3

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

Problem 2

See the attached image (figure 2) 

T = 12 is the period
a = 4 is the amplitude
b = 2pi/T = 2pi/12 = pi/6
y = 1 is the midline so d = 1
The y intercept is (0,1) which is the midline, which indicates no phase shifts have occurred so c = 0

The function is
y = a*sin(bx-c)+d
y = 4*sin((pi/6)x-0)+1
y = 4*sin((pi/6)x)+1

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

Problem 3

See the attached image (figure 3)

Period = 4pi
T = 4pi
b = 2pi/T = 2pi/(4pi) = 1/2 = 0.5
Amplitude = 2
a = 2
Midline: y = 3
d = 3
y-intercept: (0,3)
The function is a reflection of its parent function over the x-axis, so 'a' is negative meaning a = -2 instead of a = 2

The function is
y = a*sin(bx-c)+d
y = -2*sin(0.5x-0)+3
y = -2*sin(0.5x)+3

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

Problem 4

See the attached image (figure 4)

a = 10 which is half of the distance between the highest and lowest points
T = 8 is the period
b = 2pi/T = 2pi/8 = pi/4
c = -pi/2 is the phase shift since its really a cosine graph
d = 0 is the midline

The function is
y = a*sin(bx-c)+d
y = 10*sin((pi/4)*x+(-pi/2))+0
y = 10*sin((pi/4)*x+pi/2)

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

Problem 5

See the attached image (figure 5)

a = 2 is the amplitude since it bobs up and down this distance from the midline
T = 8 seconds is the period (double that of the time it takes for it to go from the highest to the lowest point)
b = 2pi/T = 2pi/8 = pi/4
c = 0 is the phase shift as the buoy starts at normal depth of 20 meters
d = 20 is the midline

The function is
y = a*sin(bx-c)+d
y = 2*sin((pi/4)x-0)+20
y = 2*sin((pi/4)x)+20

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

algol132 years ago
5 0

1, 3, and 4 of jims answers were correct 2 and 5 were not.

You might be interested in
58, 72, 74, 92, 84, 40, 74, 81, 76, 83 What was the maximum score earned on Mr. Hill's final exam
alexandr402 [8]

Answer:

92

Step-by-step explanation:

Max= biggest number, surely?

4 0
3 years ago
HELP PLEASE<br> Find 33/4 x 21/3. All answers must be in lowest terms
eimsori [14]

\frac{231}{4} ✅

<u>Step</u>-<u>by</u>-<u>step</u> <u>explanation</u>:

\frac{33}{4}  \times  \frac{21}{3} \\  =   \frac{11 \times 21}{4}  \\  =  \frac{231}{4}

<u>Note</u>:-

  • A fraction is said to be written in its lowest form if its numerator and denominator are prime, that is, they have no common factors other than 1.

\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}

6 0
2 years ago
Hiii please help! i’ll give brainliest if you give a correct answer tysm!
lawyer [7]

Answer:

1/5

Step-by-step explanation:

The volume is found by multiplying the height, width, and length. So to find the height, you need to divide 1/100 by 1/4 and 1/5.

1/100 divided by 1/5 = 1/20

1/20 divided by 1/4 = 1/5

Hope this helps :)

8 0
3 years ago
tina, stacey, and amir were all born in july 4th. stacy is one year younger than tina. amir is 2 years older than tina. the prod
MA_775_DIABLO [31]

Answer:

2339

Step-by-step explanation:

5 0
2 years ago
Is -3x^5y^2+4x^3y+10x^2 written in standard form?
Alex
I think so but it’s kind of hard to tell. 

The answer should be: Yes because the terms are all written in the order of highest degree to the lowest degree.
4 0
2 years ago
Other questions:
  • A quadratic expression can be factored so that (x - 12)(x + 17) = 0. What are the solutions to the equation?
    7·2 answers
  • 68% of what number is 64.6
    11·2 answers
  • a deer tick measures 29 centimeters in length in a photograph. if the photo has been enlarged by a factor of 100, what is the ac
    5·1 answer
  • Half x s for s equals 3/10
    13·1 answer
  • PLEASE HELP!!!!!!!!!!!!! I HAVE TO TURN THIS IN 5 MIN!!!!!!!!!!!!!!!!
    10·1 answer
  • Find the first five terms that correspond with the following expression.<br><br> 4n + 2
    11·1 answer
  • How can bees dying affect all four spheres of the Earth? (lithosphere, biosphere, atmosphere, and hydrosphere)
    11·1 answer
  • What is the value of p+9 when p=16​
    14·1 answer
  • Deandra is doing her math homework. Out of 24 problems total, she completed the first 12 problems in 1 hour and the last 12 in 3
    12·1 answer
  • 1/4 carton of ice cream divided wvenly by 3
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!