At a dock on the east coast, low tide occurs at 3 pm wi th a water depth of 5 ft. The depth at high tide is 83 ft. High tide occurs every 6 hours. Explain how to find the sinusoidal function that models the depth in terms of time, x.

Answers

Answer 1

Answer:

The sinusoidal function that model the depth in terms of time, 'x', is presented here as follows;

f(x) = 39·sin((π/3)·x - π) + 5

Step-by-step explanation:

A sinusoidal function is given by the general function as follows;

y = A·sin(B·x + C) + D

Where;

A = The amplitude = ([tex]y_{max}[/tex] - [tex]y_{min}[/tex])/2 = (The high tide - The low tide)/2 = (83 ft. - 5 ft.)/2 = 39 ft.

The period, T = 2·π/b = 6 hours

∴ B = 2·π/T = 2·π/6 = π/3

D = The vertical shift = The low tide = 5 ft.

The horizontal phase shift, 'C', is given as follows;

3 hrs = -C/B = -C/(π/(3 hr))

C = 3 hrs × -(π/(3 hr)) = -π

∴ C = -π

y = 39·sin((π/3)·x - π) + 5

The sinusoidal function that model the depth in terms of time, 'x', is therefore given as follows;

f(x) = 39·sin((π/3)·x - π) + 5


Related Questions

what is 60 times 400 equalsssssss

Answers

Answer:

24000 is ur awnser

Step-by-step explanation:

Answer:

24,000

Step-by-step explanation:

can someone tell me if its proportional and why?And also where to put the points for both graphs (I NEED AS SOON AS POSSIBLE PLEASE AND DO THEM RIGHT PLSSS!!) thanks besties!!!!

Answers

Answer:

I think your trying to ask what the answer is and it would be B.

Step-by-step explanation:

Put in the X column: 0 1 2

Put in the Y column: 0 5 10

If it asks for how you know, put that it’s basically multiplying by 5s.

Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes ca

$5. A pack of 6 water bottles costs $3. Mr. Lincoln spends $95 for 170 juice boxes

and bottles of water.

a. Choose variables for the two unknown quantities in the problem and tell wha

each variable represents.

b. Use the variables you chose in problem 3a to write an equation for the amour

of money Mr. Lincoln spends.

c. Use the variables you chose in problem 3a to write an equation for the numbe

of drinks Mr. Lincoln buys.

d. Solve the system of equations. How many packs of juice boxes and how many

packs of water does Mr. Lincoln buy? Show your work.

SOLUTION

my

Answers

Answer:

5x + 3y = 95

8x + 6y = 170

x = 10 ; y = 15

Step-by-step explanation:

Let :

x = pack of juice boxes

y = pack of water bottles

Pack of juice box = $5

Pack of water bottles = $3

Amount of money spent :

5x + 3y = $95

Number of drinks purchased :

8x + 6y = 170

Using both equations ;

5x + 3y = 95 - - - (1)

8x + 6y = 170 - - - (2)

Multiply (1) by 6 and (2) by 3

30x + 18y = 570

24x + 18y = 510

Subtract :

6x = 60

x = 60 / 6

x = 10

Put x = 10 in (1)

5(10) + 3y = 95

50 + 3y = 95

3y = 95 - 50

3y = 45

y = 45 / 3

y = 15

x = 10 ; y = 15

Find the length of a rectangle with a perimeter of 200 cm and
breadth 10 cm.

Answers

Answer:

2,000

Step-by-step explanation:

take 10×200 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

If it takes 2 cups of sugar for 24 cookies, how many cups of sugar will it take for 72 cookies?

Answers

i think it’s 6 cups

Answer:

6

Step-by-step explanation:

72/24=3

3*2=6

PLS HELP!! GIVING BRAINLST!!

Answers

Answer:

C. [tex]x=\frac{3}{2} , y=\frac{1}{2}[/tex]

Step-by-step explanation:

Both of the equations would equal to one another since they're both solving for "y".

Steps:                                     Plug in x into one of the equation:

[tex]-x+2=3x-4[/tex]                       [tex]y=3(\frac{3}{2} )-4[/tex]                  

[tex]-3x+4[/tex]  [tex]-3x+4[/tex]                         [tex]=\frac{9}{2} -4[/tex]

------------------------                        [tex]=4.5-4[/tex]    

[tex]-4x+6=0[/tex]                               [tex]y=0.5 or \frac{1}{2}[/tex]

       [tex]-6[/tex]   [tex]-6[/tex]

------------------

[tex]\frac{-4x}{-4} =\frac{-6}{-4}[/tex]

[tex]x=\frac{3}{2}[/tex]

[tex]x=\frac{3}{2} , y=\frac{1}{2}[/tex]

Multiple choice answers:

3
1/3
-1/3
-3

Answers

If you have a calculator it would be easy yoo plug in y= so I’ll just help it’s C

SOLVE THIS
I WILL GIVE BRAINLIEST

Answers

hope it becomes helpful to you ☺️☺️

good luck

4x-5
-------- = 3
5

(5) (3) = 4x-5

15 = 4x-5

15 + 5 = 4x

20 = 4x

x = 5

calculate 50% of 200

Answers

Answer:

100

Step-by-step explanation:

hopes this helps

Answer:

100

Step-by-step explanation:

Can someone help me with all of these??Pls, and explain it in words because i have to record a video for it.

Answers

Answer:

Question 1: 9    Question 2: e=40

Step-by-step explanation:

Question 1: Divide both sides of the equation by the same term,Cancel terms that are in both the numerator and denominator,Divide the numbers.

Question 2: I just subtracted 56 by 16. 56-16

Question 3: To find the value of x we need to use inverse operation.???

THIS IS ALL I COULD HELP I AM SORRY!

Can someone help me answer these questions

Answers

12. I’m sorry I’m horrible at word problems
13. C
14. C

Joelle spent 1 1/2 hours studying for her science test. Rileigh studied 3/4 for of Joelle‛s time. What fraction of an hour did Rileigh spend studying?

Answers

Answer: 1¹/₈ hours

Step-by-step explanation:

Joelle spent 1¹/₂ hours reading and Rileigh spent 3/4 of that time.

To find out how much time Rileigh spent, multiply the fractions but first convert the improper fraction to a proper fraction:

= 1¹/₂ = 3/2

= 3/2 * 3/4

= 9/8

= 1¹/₈ hours

Answer:

1 1/8

Step-by-step explanation:

it's just right

Anyone know the answer to this?

Answers

first one is 114
second one is 215.2

let me know if this doesn’t work :)

y=2x+1
y=4x-1
SHOW YOUR WORK PLEASE

Answers

Let's solve your system by substitution.

y=2x+1;y=4x−1

Step: Solve y=2x+1for y:

y=2x+1

Step: Substitute2x+1foryiny=4x−1:

y=4x−1

2x+1=4x−1

2x+1+−4x=4x−1+−4x(Add -4x to both sides)

−2x+1=−1

−2x+1+−1=−1+−1(Add -1 to both sides)

−2x=−2

−2x

−2

=

−2

−2

(Divide both sides by -2)

x=1

Step: Substitute1forxiny=2x+1:

y=2x+1

y=(2)(1)+1

y=3(Simplify both sides of the equation)

Answer:

x=1 and y=3

About how many inches does a
20-inch diameter tir roll in one
turn? (Use 3.14 for it.)

Answers

62.8 inches ----------------------------------

Step-by-step explanation:

diameter = 20 inches

radius = diameter ÷ 2

radius = 20 ÷ 2

= 10 inches

circumference = 2π × radius

= 2 × 3.14 × 10

= 62.8 inches

-----------------------------------FOLLOW ME

List one way you can multiply polynomials by polynomials.
a. Boxes
b. Vertically
c. Horizontally
d. All of the above

Answers

Answer:

a

Step-by-step explanation:

The answer is letter A

A gas station started the weekend selling gas for $3.79 per gallon. Towards the end of the weekend, gas was $3.49 per gallon. What is the percent decrease in gas price per gallon? Round percentage to the tenths place.

Answers

Answer: 7.9%

Step-by-step explanation:

trust me

What is the exact value?

Answers

Answer:

5/13 = 0.384615 (repeating)

Step-by-step explanation:

Hope that helps!

I need help pleaseseee

Answers

Answer:

Area of figure:  (4y - 7)(x + 6y + 1)

Step-by-step explanation:

The height of the figure is 4y - 7 and the length is x +  6y + 1.

The area of the figure is the product of height and length, or:

(4y - 7)(x + 6y + 1)

James recently got a credit card. The APR on the card is 19.8%. What is the monthly interest rate?
A. 1.65%
B. 7.8%
C. 12%
D. 19.8%

Answers

The answer is A.

Step-by-step explanation:

ARP means Annual Percentage Rate. Annual means yearly and there are 12 months in a year so divide 19.8 by 12 and you get 1.65.

PLEASE HELP— DUE VERY SOON //URGENT//
Solve for X
Please show work
Attached in the problem
Thank you so much!

Answers

Answer:

x = 6

Step-by-step explanation:

Step 1: Cross multiply.

[tex]\frac{x}{2x+4} = \frac{3}{8} \\x*(8)=3*(2x+4)\\8x=6x+12[/tex]

Step 2: Subtract 6x from both sides.

[tex]8x-6x=6x+12-6x\\2x=12[/tex]

Step 3: Divide both sides by 2.

[tex]\frac{2x}{2} =\frac{12}{2}[/tex]

Answer:
x=6

Solution:
X/(2x+4) = 3/8

1) Cross -multiply
X * (8) = 3 * (2x+4)
8x = 6x + 12

2) Subtract 6x from both sides
8x - 6x = 6x + 12 - 6x
2x = 12
12/2 = 6

X= 6


can someone help me with this?

Answers

the argument would be alternate angles theorem. hope this helped!

8 cubed as a single power of 2

Answers

Answer:

[tex]2^{9}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

note that 8 = 2³ and so

8³ = (2³ )³ = [tex]2^{3(3)}[/tex] = [tex]2^{9}[/tex]

PLEASE HELP!!! Find the slope of the line that passes through the points (-1,7) and (0,-3).​

Answers

Answer:

-10

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-3-7)/(0-(-1))

m=-10/(0+1)

m=-10/1

m=-10

Answer:

The slope is -10.

Step-by-step explanation:

Goal

Find the value of m/Find the slope.

Given

Two coordinate points which are (-1,7) and (0,-3).

Step 1

Use the slope formula which is rise over run also known as changes of y over changes of x.

[tex] \large \boxed{m = \frac{y_2-y_1}{x_2-x_1} }[/tex]

From the given coordinate points, substitute the values in the formula.

[tex]m = \frac{7 - ( - 3)}{ - 1 - 0} \\ m = \frac{7 + 3}{ - 1} \longrightarrow \frac{10}{ -1} \\ m = - 10[/tex]

Therefore, the value of m or slope is -10.

I know life can get hard but don't give up no matter what happens, because you never get anything out of quitting, but you get the most if you keep trying, and trying.

This is what you don't do

Don't let this world make you bitter. Don't let the actions of other people turn you cold on the inside. Certain things happen that hurt us, people come that leave us, and most of all there are moments when you're bound to fall. Don't let those things make you unkind. It's okay to cry. It's okay to be sad. But it's never okay to do other people wrong just because you were done wrong. We're human. We break. We make mistakes. But don't let pain and sadness run your lives. Wake up in the morning and do what you think is right. There are moments in your life where you feel like giving up and you can't take it anymore. It's okay. Breathe. Inhale. Exhale. I know you're weak. But the things that show your weak side are also the same ones that make you stronger in the long run. It's all about taking whatever life throws at you and learning from it.

Hope you like it. Have a great day.​

Answers

Answer: Nice words my guy

Step-by-step explanation:

Answer:

Ty this is soo inspiring!!

Step-by-step explanation:

Life is all about going through upward and all in to pursue our dreams. Don’t let any kind of obstacle and failure pin you down or push you against your success of life. Fight hard the battle of life and take the challenges with courage, determination, and perseverance. Just keep moving forward with hope and this day is not so far when life will put the crown on your head as a successful human being. Here we offering some of the best inspirational messages about life and good thoughts from various reliable sources that will be your best supporter to pursue your dreams of life. Life is short, live it. Love is rare, grab it. Anger is bad, dump it. Fear is awful, face it. Memories are sweet, cherish it!

When life seems unbearable, hold on. Because you have not yet seen the next page of the book of life. It is full of unknown mysteries, suspense, adventures and unachieved success.

Life asked with Death: Why people love me and hate you, “Death said you are a beautiful lie and I’m a painful truth. Happiness of life lies within yourself. As long as you feel you are content, you are happy.

In life happiness is a matter of perception. Some choose to stay unhappy about having everything. And some choose to stay happy with the little things he has.

The moment you seize worrying, the moment you will feel happy. It’s all about your choice.


Classify the triangle: a triangle with one right angle and no congruent sides.

Enter your answer

Answers

Answer:

Scalene Traingle

Step-by-step explanation:

Because a scalene triangle has no congruent sides, but can be a right angle (90 degree)!

What the guy above me said is true

In ΔPQR, p = 8.5 cm, q = 1.7 cm and r=7.7 cm. Find the measure of ∠R to the nearest degree

Answers

Answer: 57

Step-by-step explanation:

The value of the angle ∠r is equal to 56.63°.

What is trigonometry?

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry. The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that in ΔPQR, p = 8.5 cm, q = 1.7 cm and r=7.7 cm. The value of angle ∠r will be calculated as,

r² = p² + q² -2pqcos(r)

(7.7)² = (8.5)² + (1.7)² - 2 x 8.5 x 1.7cos(r)

59.29 -75.14 = -28.9cos(r)

cos(r) = 15.85 / 28.9

cos(r) = 0.55

r = cos⁻¹(0.55)

r = 56.63°

To know more about trigonometry follow

https://brainly.com/question/16911370

#SPJ5

what conclusions can you give why some students decided not to go to school?​

Answers

Step-by-step explanation:

There are a number of reasons why some students decide not to go to school. Some of them may be associated with family and psychological problems such as anxiety and depression, which should be investigated by trained professionals at the school if there is any suspicion of these symptoms.

There is also the possibility that students who have decided not to go to school have been victims of bullying and aggression at school, which causes fear of retaliation and psychological trauma that negatively impact the person's life.

It is important that schools provide psychological support and an active policy that combats bullying and is pro-integration of students and diversity.

there are 56 customer in a shop.24 of them are men.the rest of the customers are women in the shop

Answers

Answer:

There are 32 women in the shop.

Answer:

32 are women

Step-by-step explanation:

Need help due today please

Answers

Answer:

f(x) = -7(x-5)^2 +5

f(-1) = -7(-1-5)^2 +5

f(-1) = -7(-6)^2+5

f(-1) = -7(36)+5

f(-1) = -252+5

f(-1) = -247

Let me know if this helps!

Answer:

-247

Step-by-step explanation:

f(-1) = -7((-1)-5)^2

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