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
zhenek [66]
3 years ago
15

At an ocean depth of 10 meters, a buoy bobs up and then down 6 meters from the ocean's depth. Ten seconds pass from the time the

buoy is at its highest point to when it is at its lowest point. Assume at x = 0 the buoy is at normal ocean depth. Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

Mathematics
1 answer:
Ivanshal [37]3 years ago
7 0

The sine function for the given scenario is y  = 6sin ( (π / 10) x )  -  10.

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

The standard formula for sine function is Asin(Bx)+C.

A buoy bobs up and down 6 meters. That is the buoy shifts vertically and horizontally  for 6 meters which is amplitude.

∴Amplitude A= 6.

Period is the distance in the x-axis that makes one full oscillation.

We know that the time taken buoy to move from its highest point to lowest point (half oscillation) is 10 seconds.

∴The period for full oscillation is 20 seconds.

Also, Period =2π divided by B.

⇒ 20 (B) = 2π.

B=2π /20.

= π/ 10.

Since the buoy is in the depth of the ocean 10 meters C = -10.

Applying all the values in the formula,

⇒y  = 6sin ( (π/ 10) x )  -  10.

The first point is the mid line,

The first point is x=0,

⇒y=6sin(0)-10.

y= -10.

∴ The line starts at the point y = -10.

The second point is either maximum or minimum value.

That is (5,-4) and (15, -16.)

You might be interested in
Written as a simplified polynomial in standard form, what is the result when (2x - 7) ^ 2 is subtracted from 1?
zaharov [31]

Answer:

ans: -4( x-3 )( x-4 ) I.e -4( x² + x - 12 )

Step-by-step explanation:

as per question

1- (2x-7)²

= (1 + 2x - 7)(1- 2x + 7)

= ( 2x - 6)(-2x +8)

= -4(x-3)(x+4)

8 0
3 years ago
How Do You Know How Many Places Are In Fifty Million Without Writing The Number In Standard Form
BartSMP [9]
Fifty million has 8 places
7 0
3 years ago
Find the 70th term of the following arithmetic sequence.<br><br> 12,17,22,27,...
nikdorinn [45]
Since it starts at 12 and is increasing by 5 each time, the 70th term will be;
12 + 5(70)
12 + 350
362

362 is the 70th term of the sequence.
8 0
3 years ago
Read 2 more answers
G(x)=− 4 x 2 ​ +7g, left parenthesis, x, right parenthesis, equals, minus, start fraction, x, start superscript, 2, end superscr
steposvetlana [31]
For this case, what we should do is evaluate the function for different points within the range shown.
 We then have the following table:
 x      g(x) 
 -2    -9
 -1     3
  0     7
  1     3
  2    -9
  3    -29
  4    -57
 From where we observed that the average rate of change is:
 -13
 Answer:
 
the average rate of change of g over the interval [-2,4] is:
 
-13
4 0
3 years ago
Need help ASAP! ——————————————————————————————
Taya2010 [7]

Answer:wanted to help but not that smart

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Someone please help! I’ll give you 25 points!
    13·2 answers
  • Douglas wants to estimate the percentage of homeowners that own at least one dog. He surveys 125 randomly selected homeowners to
    8·1 answer
  • Write the expression as either the sine, cosine, or tangent of a single angle.
    10·1 answer
  • 2. A skydiver jumps from a plane from an altitude of 6000 ft. An observer on the ground measures the skydiver’s altitude at time
    8·1 answer
  • How am I supposed to do this please help me
    13·2 answers
  • The price of a car was decreased by 25% to £1875. What was the price before<br> the decrease?
    13·1 answer
  • The amount of fertilizer needed for a lawn varies directly with the area of the lawn Mr. Dundee lawn is a rectangular shape and
    12·1 answer
  • Hy my friend needs help with her math I say it’s pretty easy but it cuz I have my hw to do .. so can someone help her out ?!
    14·2 answers
  • Help...................
    10·1 answer
  • Tanh(2a)==1/2 then a=?​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!