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]
3 years ago
12

1. A sine function has the following key features:

Mathematics
2 answers:
andrew11 [14]3 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

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

algol133 years ago
5 0

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

You might be interested in
Need helpp fastt plss will give brainliest to who is correct plss helpp
kodGreya [7K]

Answer:

1/4 times 3.

1/4 of 3.

number of fourths in 3.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the area of the figure.<br> Hurry please.
Over [174]
A= 3 x 8= 24
24 + 3= 27
27 + 2.5=

29.5
5 0
3 years ago
What is 400 divided by 60, and i want the answer in non decimal numbers please
Alina [70]
400:60=\frac{400}{60}=\frac{40}{6}=\frac{20}{3}=\frac{18+2}{3}=\frac{18}{3}+\frac{2}{3}=6\frac{2}{3}
7 0
3 years ago
What happens to the value of the expression 100 - x100−x100, minus, x as xxx increases?
Zolol [24]

with increasing the value of x , value of expression f(x) = 100-x decreases continuously .

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

Here we have , an expression as 100-x or , 100-x . We need to tell what happens to the value of expression when value of x increases :

According to question ,Given expression is in form of f(x) = mx +c ,value of slope & y-intercept is :

m=-1\\c=100

Now , from the graph attached we can see that

For x<100 : f(x)>0

For x=100 : f(x)=0

For x>100 : f(x)

Hence , with increasing the value of x , value of expression f(x) = 100-x decreases continuously .

7 0
3 years ago
Read 2 more answers
A farm lets you pick 3 pints of raspberries for $12.00. Use any strategy you want to answer the questions below. 1. What is the
Stels [109]

Answer:

$4 per pint

1/4 pint per dollar

5 pints for $20

$32 for 8 pints

Step-by-step explanation:

12.00/3 = 4

$4 per pint

1/4 = 1/4

1/4 pint per $1

$20 / $4 = 5 pints

$4 * 8 = $32

3 0
3 years ago
Other questions:
  • Combine like terms:<br> 2y^2 + 2(4y^2 − 3)
    12·1 answer
  • Cual ecuacion representa un ejemplo de la
    11·1 answer
  • Use natural logarithms to solve the equation. e2x = 1.4 Round to the nearest thousandth.
    6·2 answers
  • Any 3 digit describe how to find the number that is 10 more
    6·2 answers
  • Solve x2 + 12x + 6 = 0 using the completing-the-square method.
    8·1 answer
  • In Exercise, sketch the graph of the function.<br> f(x) = 0.5 ln x
    14·1 answer
  • kelly wants to build a pacman shaped pool in her back yard pictured to the right (3/4 of a circle). she needs to have a gate aro
    5·1 answer
  • The cost of 2 plates of spaghetti &amp; 1 plate of salad is $27.50. The cost for 4 plates of spaghetti &amp; 3 salads is $59.50.
    14·1 answer
  • Are the ratios 1:2 and 9:18 equivalent?<br> yes<br> no
    10·1 answer
  • The area of a rectangular piece of land is 5/16 square mile. .
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!