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
Bas_tet [7]
3 years ago
10

The depth of the water at the end of a pier changes periodically along with the movement of tides. On a particular day, low tide

s occur at 12:00 am and 12:30 pm, with a depth of 2.5 m, while high tides occur at 6:15 am and 6:45 pm, with a depth of 5.5 m. Let t = 0 be 12:00 am. Write a cosine model, d = acos(bt) + k, for the depth as a function of time. This amplitude is meters. a =

Mathematics
2 answers:
Valentin [98]3 years ago
8 0
Draw a diagram to illustrate the problem as shown in the figure below.

The minimum depth of 2.5 m occurs at 12:00 am and at 12:30 pm.
Therefore the period i0s T= 12.5 hours.
The maximum depth of 5.5 m occurs at 6:15 am and at 6:45 pm. Therefore the period of T = 12.5 hours is confirmed.

The double amplitude is 5.5 - 2.5 = 3 m, therefore the amplitude is a = 1.5 m.
The mean depth is k = (2.5 + 5.5)/2 = 4.0 m

The model for tide depth is
d=-1.5cos( \frac{2 \pi t}{12.5})+4

That is,
d = -1.5 cos(0.5027t) + 4
where 
d = depth, m
t = time, hours

A plot of the function confirms that the model is correct.

pentagon [3]3 years ago
4 0

Answer:

answers are 1.5 and -1.5, then 12.5 and 4pi/25, then 4, and finally D

Step-by-step explanation:

You might be interested in
Why is the image of a figure after a translation is congruent to its preimage
zaharov [31]

"Translation" means "move it to a different place".

When you buy a hula-hoop or a frisbee and take it home from the store,
its shape doesn't change.  And when you leave home in the morning and
move yourself to school, your shape and size don't change.

Translation does not change the shape or the size of a figure.  All of its
sides and angles are still the same as they were in the original location.
Wherever it may go, it's still congruent to the picture of it that you took
before it moved.

6 0
3 years ago
I need the help if you can please help me
alexdok [17]

Answer:13 days

Step-by-step explanation:

8.50 × 3 = 25.50

25.50 × 13 days = $331.50

4 0
2 years ago
Read 2 more answers
What percent of 180 is 36?
masya89 [10]
The percent would be 20%
5 0
2 years ago
Read 2 more answers
Am getting the hang of this but I still need help so may I please get help with this equation -7a+6a^2-10
blagie [28]
The factors are (a - 2) and (6a + 5) . If the expression is equal to zero, then 'a' can be 2, and 'a' can be -5/6 .
7 0
3 years ago
Read 2 more answers
PLEASE HELP !! :)))
Irina18 [472]
C. -3 is passed through through 2 different point meaning it’s a vertical linear equation. So y=-3
5 0
2 years ago
Other questions:
  • You are putting 30 different bolts into bins according to the size of the bolt. So far you have successfully put 10 bottles into
    7·1 answer
  • Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. x = 2.5 when y
    8·2 answers
  • when I triple a number and add 20 i will get the same answer as i do when i subtract the number from 40 find the number​
    5·1 answer
  • Write an expression that has three terms, two different variables, and one constant
    9·1 answer
  • The price of a cantaloupe at a fruit stand goes up 4 cents each month. The first month the stand was open, a cantaloupe cost $1.
    13·2 answers
  • 7b + 3, -4b + 5, and -3b + 2<br><br> 10b + 2<br> 10<br> 0<br> b - 8
    5·1 answer
  • Please help on this.. needs to be done
    8·1 answer
  • 2 5 7 Which algebraic expression represents the phrase "two times the quantity of a number minus 12"? 0 2y - 12 0 207-12) O 200
    11·1 answer
  • X^2/(x+2) + 2 (x+2)/x^2 = 3 solve <br>please help me with steps​
    5·1 answer
  • 6 wholes 1/5 - 5 wholes 1/4 + 3
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!