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
docker41 [41]
3 years ago
10

A sinusoidal function whose period is π/2 , maximum value is 10, and minimum value is −4 has a y-intercept of 3. What is the equ

ation of the function described?
Mathematics
1 answer:
Eddi Din [679]3 years ago
6 0

Answer:

f(\theta)=3+7sin(4\theta)

Step-by-step explanation:

The sinusoidal function has a general form of:

f(\theta)=Y+Asin(k\theta)

The period is given by:

P=\frac{2\pi}{k}\\\frac{\pi}{2}= \frac{2\pi}{k}\\k=4

Y is the y-intercept, thus y = 3.

At the maximum value:

f(max) = Y+A\\10 = 3+A\\A=7

At the minimum value:

f(min) = Y-A\\-4 = 3-A\\A=7

Therefore, the equation of the function described is:

f(\theta)=3+7sin(4\theta)

You might be interested in
Helpppppp pleaseeeee
Kaylis [27]

Answer:

x + y = 90 - - - (1)

y = 1/4x - - - - (2)

Step-by-step explanation:

x = larger acute angle

y = smaller acute angle

Recall:

A right angle measures 90°

Sum of angles in a triangle = 180°

y = 1/4x

Hence :

90 + x + y = 180

x + y = 180 - 90

x + y = 90 - - - (1)

y = 1/4x - - - - (2)

Put y = 1/4x in (1)

x + 1/4x = 90

1.25x = 90

x = 90 / 1.25

x = 72

x + y = 90

72 + y = 90

y = 90 - 72

y = 18

4 0
3 years ago
Due soon please help me
Rina8888 [55]

Answer: 6 units

Step-by-step explanation: reflections stay the same length

7 0
3 years ago
8 1/2 + 2 7/9 = ----- fill in the lkank
Alex

Answer:

The answer is 11 5/18 because it is so easy.

3 0
4 years ago
Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.​
Naily [24]

Answer: 1436 units cubed (3.14) or 1437 units cubed (π)

Step-by-step explanation:

answer depends on if you substitute in 3.14 for π or not

8 0
3 years ago
Can someone help me pleaseeeeee??
svet-max [94.6K]

Answer:

C. Continues Quantitative

Step-by-step explanation:

The height of the student would be classified as a continuous variable. This is because height can take on any value, such as 4.25 feet and 58.42 inches.

4 0
3 years ago
Other questions:
  • Which ordered pair is a solution of the equation y = 3x?
    10·1 answer
  • Write the vertex form of the following equation y=x^2+6x-5
    12·1 answer
  • An online music streaming company, iTunez, charges Alex $8.99 each month for unlimited music downloads. Another company, Beatz O
    7·1 answer
  • A salesperson obtained a systematic sample of size 20 from a list of 500 clients. To do​ so, he randomly selected a number from
    9·1 answer
  • 4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received. How many slices of
    12·1 answer
  • (HURRY) Shanice won 88 pieces of gum playing the bean bag toss at the county fair. That was 4 more than twice as many as Greg. H
    15·1 answer
  • Marie got a bag of candy from Jimmie for Valentine's day.
    9·1 answer
  • Help need to know if I did this right question in the picture
    11·2 answers
  • A corporation donates 15% of their total profit to charity annually. If p represents the amount of money they donated this year,
    13·2 answers
  • THIS IS due in a hour A salesperson earns 15% commission on her
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!