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
Katarina [22]
3 years ago
10

Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 4.35 ft at

midnight, rises to a high of 8.3 ft, falls to a low of 0.4 ft, and then rises to 4.35 ft by the next midnight.
What is the equation for the sine function f(x), where x represents time in hours since the beginning of the 24-hour period, that models the situation?

f(x)=
Mathematics
1 answer:
netineya [11]3 years ago
8 0

Answer:

  f(x) = 4.35 +3.95·sin(πx/12)

Step-by-step explanation:

For problems of this sort, a sine function is used that is of the form ...

  f(x) = A + Bsin(2πx/P)

where A is the average or middle value of the oscillation, B is the one-sided amplitude, P is the period in the same units as x.

It is rare that a tide function has a period (P) of 24 hours, but we'll use that value since the problem statement requires it. The value of A is the middle value of the oscillation, 4.35 ft in this problem. The value of B is the amplitude, given as 8.3 ft -4.35 ft = 3.95 ft. Putting these values into the form gives ...

  f(x) = 4.35 + 3.95·sin(2πx/24)

The argument of the sine function can be simplified to πx/12, as in the Answer, above.

You might be interested in
Please help me!!! I will mark brainliest!
laila [671]
I think the answer is probably b or c
6 0
3 years ago
Read 2 more answers
Triangle ABC is similar to triangle DEF. how long is EF?<br> A) 4<br> B) 10<br> C) 14<br> D) 12
Andrej [43]

Answer:

The answer is D) 12

Step-by-step explanation:

Multiple 4 by 3

8 0
3 years ago
A man shares his money between his sons, Cyrus and Peter in the ratio 4 : 9. If Cyrus' share is GH¢100, find the amount shared a
statuscvo [17]

Answer:

peter will get 225

6 0
2 years ago
A players kinetic energy will be most affected by his
miskamm [114]
Velocity

Formula wise:
1/2 x mass x velocity^2

8 0
3 years ago
Read 2 more answers
A hamburger stand sells hamburgers for $3.87. in one day the stand made $433.44. How many hamburgers were sold?
Makovka662 [10]
All you have to do is divide 433.44 by the price of the hamburgers, so 


433.44 ÷ 3.87 = 112


The answer is 112 (:
8 0
3 years ago
Read 2 more answers
Other questions:
  • 6(7x-9)+15 simplify equation
    6·2 answers
  • given the system of equations, what is the solution? x 3y = 5 x - 3y = -1 {(-4, -3)} {(2, 1)} {(-2, 3)}
    8·1 answer
  • A flying disc has a radius of
    14·1 answer
  • Factor and solve pretty please help me
    6·2 answers
  • 130miles equal how many inches​
    8·2 answers
  • How do you find the percent of decrease a report card grade that goes from 90 to 85?
    11·2 answers
  • Jason’s family drove 120 miles using 5 gallons of gas. At this rate, how many miles can they drive on 8 gallons of gas? Use the
    12·1 answer
  • For geometry:(<br><br> will give brainist to the correct answer!!!
    6·1 answer
  • Kylie is 59.54 inches tall. Her friend Adam is 1.37 inch taller than she is. How tall is
    14·1 answer
  • 4. If m23 = 54°, find each measure.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!