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
goldfiish [28.3K]
3 years ago
8

The water level varies from 12 inches at low tide to 52 inches at high tide. Low tide occurs at 9:15 a.m. and high tide occurs a

t 3:30 p.m. What is a cosine function that models the variation in inches above and below the water level as a function of time in hours since 9:15 a.m.?
Mathematics
1 answer:
LiRa [457]3 years ago
3 0
F ( x ) = a cos ( b ( x - c ) ) + d
Apmlitude: a = ( 12 - 52 ) / 2 = -40 / 2 = - 20
If the curve takes 6.25 hours from the low to the high tide them it will take 12.50 hours to complete a full cycle.
The period:   b = 2π/12.5 ;
c = 9.25; d = 12 + 20 = 32;
Answer:
f ( x ) = - 20 cos ( 2π/12.5 ·( x - 9.25 ) ) + 32 =
= - 20 cos ( 0.5024 ( x - 9.25 ) ) +32
You might be interested in
On Martin's first stroke, his golf ball traveled 4/5 of the distance to the hole. On his second stroke, the ball traveled 79 met
Sav [38]

Answer:

0.395 kilometre

Step-by-step explanation:

Given:

On Martin's first stroke, his golf ball traveled 4/5 of the distance to the hole.

On his second stroke, the ball traveled 79 meters and went into the hole.

<u>Question asked:</u>

How many kilometres from the hole was Martin when he started?

<u>Solution:</u>

Let distance from Martin starting point to the hole in meters = x

On Martin's first stroke, ball traveled = \frac{4}{5} \ of \ total \ distance\ to\ the\ hole

                                                             =\frac{4}{5} \times x=\frac{4x}{5}

On his second stroke, the ball traveled and went to the hole = 79 meters

Total distance from starting point to the hole = Ball traveled from first stroke + Ball traveled from second stroke

x=\frac{4x}{5} +79\\ \\ Subtracting\ both\ sides\ by \ \frac{4x}{5}\\ \\ x- \frac{4x}{5}= \frac{4x}{5}- \frac{4x}{5}+79\\ \\ \frac{5x-4x}{5} =79\\ \\ By \ cross\ multiplication\\ \\ x=79\times5\\ \\ x=395\ meters

Now, convert it into kilometre:

1000 meter = 1 km

1 meter = \frac{1}{1000}

395 meters = \frac{1}{1000}\times395=0.395\ kilometre

Thus, there are 0.395 kilometre distance from Martin starting point to the hole.

8 0
3 years ago
Which pair of expressions is not equivalent? A 3(2a + 5) and 6a + 15 B. 4x – 7 + 5x + 5 and 9x + 12 0. C. 80 - 6) and 8j – 48 D.
Sergio039 [100]

Answer:

The correct answer is B.) (4x - 7 + 5x + 5) and (9x + 12).

5 0
3 years ago
Which graph represents a function?
valina [46]

The graph on the top right would represent a function. A function line on a graph includes one line going in one direction. It's not 2 lines, its not just dots either and it definitely isn't in a square because, as I said, it goes in ONE direction. Hope this helped!

8 0
3 years ago
Read 2 more answers
I need an quick answer to this question please help
Vladimir79 [104]

Answer: 17% 0.175 2/111/5

Step-by-step explanation:

3 0
2 years ago
Math pls help it says there is a cone but there isn't.​
Snezhnost [94]

Answer:

SA = π3^2 + π3(7.5)

Step-by-step explanation: r is radius and L

is r*l/2

so 3*5/2=15/2=7.5

seriously look at a problem more carefully and memorise your formulas!

7 0
1 year ago
Read 2 more answers
Other questions:
  • A shape is made of 12 right triangles of equal size each triangle has a base of 4 cm and a height of 5 cm what is the total area
    7·1 answer
  • How can you add eight 8's to get the number 1,000? (only use addition) and how did you get this answer
    8·1 answer
  • Pls help and show work pls
    6·1 answer
  • A Web music store offers two versions of a popular song. The size of the standard version is 2.2
    7·1 answer
  • The Liu family buys 20 pounds of chicken at the local market for $50. Which equation can be used to represent the cost,
    10·1 answer
  • Why has social media made a significant impact on influencing government
    15·1 answer
  • WILL GIVE BRAINLEST
    11·2 answers
  • True or False
    10·1 answer
  • Write the algebraic expression for 'x plus five is twenty three'.
    15·2 answers
  • What is the volume of this figure
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!