Suppose the depth of the tide in a certain harbor can be modeled by y = 23 - 5 cos (6.), where y is the water depth in fect
and t is the time in hours. Consider a day in which t= 0 represents 12:00 midnight. For that day, when are high tide and
low tide and what is the depth of each?
a. high tide at 6:00 a.m. and 6:00 p.m., depth 28 ft
low tide at 12:00 noon and 12:00 midnight, depth 18 ft
b. high tide at 6:00 a.m. and 6:00 p.m., depth 23 ft
low tide at 12:00 noon and 12:00 midnight, depth 5 ft
c. high tide at 12:00 noon and 12:00 midnight, depth 28 ft
low tide at 6:00 a.m. and 6:00p.m., depth 18 ft
d. high tide at 12:00 noon, depth 23 ft
low tide at 6:00 a.m., depth 5 ft

Answers

Answer 1

High tide at 6:00 a.m. and 6:00 p.m., depth 23 ft low tide at 12:00 noon and 12:00 midnight, depth 5 ft. Therefore, option B is the correct answer.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given trigonometric function is y=23-5cos(πt/6).

The given equation is y=23-5cos(πt/6), where y is the water depth in feet and t is the time in hours.

To find the high and low tide depths, we need to find the maximum and minimum values of y.

The maximum value of y is obtained when cos(πt/6) = -1, which gives y = 23 - 5(-1) = 28 ft.

The minimum value of y is obtained when cos(πt/6) = 1, which gives y = 23 - 5(1) = 18 ft.

To find the time when high and low tide occur, we need to find the values of t when cos(πt/6) equals -1 and 1 respectively.

When cos(πt/6) = -1, we get πt/6 = 3π/2, which gives t = 12 hours.

When cos(πt/6) = 1, we get πt/6 = 0, which gives t = 0 hours.

Since t = 0 represents 12:00 midnight, we can conclude that high tide will occur at 6:00 a.m. and 6:00 p.m., with a depth of 28 ft, and low tide will occur at 12:00 noon and 12:00 midnight, with a depth of 18 ft.

Therefore, option B is the correct answer.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2


Related Questions

Yani buys 4 dozen flyers for $7.25. What is
the cost of 12 dozen?
helppp now plz

Answers

Answer:

$21.75

Step-by-step explanation:

Divide $7.25 by 4 then multiply what you get from that by 12

How to solve this equation?

Answers

It says use the substitution method, so you would take the bottom equation, and since it says that x is equal to that, you would use that equation in place of the x in the top equation. so it would be 9y = 3(3y+3) - 9. You then distribute the 3 into the 3y +3, which gets you 9y = 9y + 9 - 9, which is also 9y=9y. Subtract 9y to get 0 = 0, which just means that there are infinite solutions to this equation. Whenever you get 0 = 0, all that means is that there are infinite solutions to this particular set of equations. Hope this helped!

Answer:

y=y

x=3y+3

Step-by-step explanation:

[tex]\left \{ {{9y=3x-9} \atop {x=3y+3}} \right.[/tex]

[tex]9y=3x-9[/tex]

Plug the second equation [tex]x=3y+3[/tex] into the above equation as x

[tex]9y=3(3y+3)-9[/tex]

Open up the brackets

[tex]9y=3(3y+3)-9\\9y=9y+9-9\\9y=9y\\y=y[/tex]

This system of equations has infinitely many solutions.

When graphed, the two lines will overlap each other.

Therefore, y=y and x=3y+3.

I hope this helps!

A zoo keeper used 15 bags of acacia leaves to feed the giraffes and 8 bags of eucalyptus leaves to feed the koalas. Write a ratio that compares the number of bags of acacia leaves to the number of bags of eucalyptus leaves.

Answers

Answer: 15:8

Step-by-step explanation:

Acacia leaves= 15 bags

Eucalyptus leaves=8 bags

A ratio compares two amounts and uses a :

We are comparing acacia leaves bags to eucalyptus leaves bags

So-

15:8

We cannot simplify any more, so keep 15:8.

I need an answer! NO LINKS! PLS ill give brainlist!

Answers

i’m pretty sure it’s D. 84.4

mr jones is painting a wall in his office. he has enough paint to cover 104 square feet . the wall he is painting is 12 feet wide and 9 feet long. Does he have enough paint to cover the wall

Answers

Answer:

no

Step-by-step explanation:

9x12=108

108 square feet so not enough paint.

needs more paint that covers 4 square feet

A motorboat averages 20 miles per hour (mph) in still water. It takes the boat the same amount of time to travel 3 miles with the current as it does to travel 2 miles against the current. What is the current's rate in mph?

Answers

Answer:

4 mph

Step-by-step explanation:

Let :

Boat speed = 20 mph

speed of current = x mph

Distance against current = 2 miles

Distance with current = 3 miles

speed against current will be ; 20 - x

speed with current will be ; 20 + x

Time =distance / speed against time against = time with current

Solving Mathematically ;

2/(20-x )=3/(20 +x)

2(20+x )= 3( 20-x )

40+2x = 60-3x

3x +2x=20

5x=20

x = 20 / 5

x = 4 mph

Speed of current = 4 mph

REPOST!!!!!! 20 POINTS!!!!!!


A, B, and C are points of tangency in the given Circle, a m equals 6, BK equals 4 in the perimeter of mkn is 34 ​

Answers

Answer:

A

Step-by-step explanation:

according to tangent property

we get

AM=BMAN=CNBK=CK

Given that

AM=6BK=4

Thus our equation is

[tex] \rm \displaystyle 2AM + 2AN + 2BK = 34[/tex]

substitute the given values

[tex] \rm \displaystyle 2.6+ 2AN+ 2.4 = 34[/tex]

simplify multiplication:

[tex] \rm \displaystyle 12+ 2AN+ 8 = 34[/tex]

simplify addition:

[tex] \rm \displaystyle 2AN+ 20= 34[/tex]

cancel 20 from both sides:

[tex] \rm \displaystyle 2AN=14[/tex]

divide both sides by 2:

[tex] \rm \displaystyle AN=7[/tex]

AN=CN

hence,CN=7

therefore our answer is A

WHAT IS THE MEDIAN pls help

Answers

Answer:

63

Step-by-step explanation:

If you put them from least to greatest order you cross out from both ends until you get to the middle, in that case I got to the middle in between 63 and 63 so you can go in between them so your answer is 63

It’s the numbers in the middle so it would be a number in between 80 and 63.

A painter needs to buy a ladder in order to paint a wall that is 18 feet high. In order to ensure the ladder does not fall it needs to be placed 3 feet away from the wall. What size ladder does the painter need to buy to ensure that he will be able to paint the highest point of the wall? Write your answer rounded to the ncarest tenth.​

Answers

Answer:

222! thats your answer!

Step-by-step explanation:

There were x cupcakes at the beginning of a party. By the end of the party, 16 of them had been eaten. Using x, write an expression for the number of cupcakes that were left.

Answers

Answer: x - 16

Step-by-step explanation:

Since there were x cupcakes at the beginning of a party and at the end of the party, 16 of them had been eaten, the expression for the number of cupcakes that were left will be gotten by subtracting the number of cupcake that have been eaten from the cupcakes at the beginning. This will be:

= x - 16

For example, if there were 20 cupcakes at the beginning and 16 was eaten, the number left will be:

= x - 16

= 20 - 16.

= 4

There'll be 4 left

The length of a football field is 120 yards from one and one to the other end zone.​

Answers

Answer:

To solve, you need to use Pythagorean Theorum

a^2+b^2=c^2

100^2+53.33^2 = c^2

10,000+2844.0889=c^2

12844.1=c^2

square root

= 113 1/3 yards

So it is less than 120 yards

Step-by-step explanation:

Here's a primer on how the dimensions play out at every level, from high school football to the NCAA and on up to the NFL. There are two constants, across the level of competition: 120 yards (360 feet) of length and 53 1/3 yards (160 feet) of width.

i think this is what your looking for?!

Item 3 RectangleABCD has vertices A(1, 2), B(4, 2), C(1, −2), and D(4, −2). A dilation with a scale factor of 6 and centered at the origin is applied to the rectangle. Which vertex in the dilated image has coordinates of (24, 12)? A′ B′ C′ D′

Answers

Answer:

B

Step-by-step explanation:

I'm pretty sure its b because its ratio matches the (4,2)

Answer:

B'

Step-by-step explanation:

If x = 15 units and h = 4 units, then what is the area of the triangle shown above?
A. 8 square units
B. 30 square units
C. 60 square units
D. 90 square units

Answers

Answer:  B. 30 square units

Step-by-step explanation:

Area of triangle formula is base x height divided by 2 so we do 15 * 4 = 60/2 = 30 units

Find the surface area of the cylinder to the nearest tenth of a square unit. Use 3.14 for TT.
4.9 ft.
7 8 ft
A. 38.2 ft2
B. 75.4 ft2
C. 286.2 ft?
D. 390.8 ft2

Answers

bestie i would say it’s A because you multiply and you don’t have the other surface areas hope this helps <3

Help is this correct??

Answers

Answer:

if the cubes were hidden, but I belive the answer is none

Step-by-step explanation:

Answer:

Yes it is B when looking at it from top view thats what it comes out to look like great job.

Consider this right triangle...

Omg pleaseeeee help me!! I have SBA Math Test on Friday and I forgot everything I learned last year from Geo. Help would be very very much appreciated!! WILL GIVE BRAINLIEST!! Thank you so muchhhhh <3

Answers

Answer:

33°

Step-by-step explanation:

have a nice day!! :)

Your question of the day

What makes a good student? Explain? Why?

Answers

Answer:

a good student someone that pays attention in class and studies. If they do the work, study and pay attention there should be no issues. most teachers like students like that and the should be able to pass the class.

What is the area of this trapiziod

Answers

Answer:

30 in²

Step-by-step explanation:

A=(b1+b2)h/2

A=(10+5)4/2

A=(15)4/2

A=60/2

A=30 in²

Answer:

Hello! I believe its 30

Triangle to the left I did 4 x 3 = 12 ÷ 2 =6

Triangle to the right I did 2 x 4 = 8 ÷ 2 = 4

Then I did square in the middle so 5 x 4 = 20

Now i add these up 20 + 6 + 4 = 30

Hope this helps!

HELP, I can't figure out the first question
Answer choice for first question
1. linearly
2.quadratically
3.exponentially

Answers

The answer is linearly


a) If there were 3 elephants at the zoo, how many hippos would there be?

Answers

Answer:

3 as well lol?

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Write 11 x 11 x 11 x 11 x 11 x y X y X y in
exponential form.

Answers

11 × 11 × 11 × 11 × 11 × y × y × y = 11⁵y³

Or, if you meant

11 × 11 × 11 × 11 × 11 × y X y X y = 11⁵X²y³

Reenu got 2/ 7 part of an apple while Sonal got 4/5 part of it. Who got the larger part and by how much?​

Answers

Reenu did because if I had 1/4 and 1/2 the bigger one is the 1/2

5
3х - 10
15. х - 3x —
10
x-(3x -
3​

Answers

Answer:

3 - 151 x

Step-by-step explanation:

d/dx(5×3 x - 10×15 x - 3 x - 10 x - (3 x - 3)) = -151

Indefinite integral:

integral(3 - 151 x) dx = 3 x - 75.5 x^2 + constant

Definite integral after subtraction of diverging parts:

integral_0^∞ ((3 - 151 x) - (3 - 151 x)) dx = 0

The quantity indicated is...........

Answers

1.) The answer is D .

Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks. Tori hosts a podcast about computers, and Wendy hosts a podcast about parenting. Both podcasts have a set duration for each episode. Last year, Tori released 40 episodes and Wendy released 16 episodes, for a total of 5,584 minutes of content. This year, Tori released 27 episodes and Wendy released 11 episodes, which lasted a total of 3,795 minutes. How long is each episode? Each episode of Tori's podcast is minutes long, and each episode of Wendy's podcast is minutes long.

Answers

Answer:

x = minutes of Tori's podcast = 88 minutes

y = minutes of Wendy's podcast = 129 minutes

Step-by-step explanation:

Let

x = minutes of Tori's podcast

y = minutes of Wendy's podcast

40x + 16y = 5,584 (1)

27x + 11y = 3,795 (2)

Multiply (1) by 11 and (2) by 16

440x + 176y = 61,424 (3)

432x + 176y = 60,720 (4)

Subtract (4) from (3) to eliminate y

440x - 432x = 61,424 - 60,720

8x = 704

x = 704/8

x = 88

Substitute x = 88 into (1)

40x + 16y = 5,584 (1)

40(88) + 16y = 5,584

3,520 + 16y = 5,584

16y = 5,584 - 3,520

16y = 2,064

y = 2,064/16

y = 129

x = minutes of Tori's podcast = 88 minutes

y = minutes of Wendy's podcast = 129 minutes

What is the largest two-digit number that is a multiple of 21?

Answers

Answer:

84

Step-by-step explanation:

The largest two digit number that is a multiple of 21 is 84

If two sides of a triangle measure 4 cm and 6 cm what could be the measure of the third side? A. 9 B. 10 C. 11 D. 12

Answers

Answer:

A. 9

Step-by-step explanation:

Triangle Inequality:  the lengths of any two sides of a triangle add up to more than the third side.

B. 10 can't be the answer because the 4 cm and 6 cm sides would just meet at a point on the 10 cm sides.

C. 11 and D. 12 can't be answers because the 4 cm and 6 cm sides would not meet (kind of like windshield wipers that are too short).

Simplificación de la raíz cuadrada de 50

Answers

Answer: 5√2

Step-by-step explanation:√50--->√2*√25

√25--->5

5*√2=5√2

15 points, needs to be done ASAP! Any joking around will lead to a report.

Answers

Answer: The mean is 6.

Step-by-step explanation: First you add all of the numbers together getting a total of 48. Next to find the mean you divide them by the total number of "dots". Lastly, you get the answer of 6 which is your mean.

Answer:

6.

Step-by-step explanation:

First you take the data on the dot plot, and write the numbers down from least to greatest.

The data set:

2,3,6,6,7,8,8,8

Now that you have the data reordered in a easier way to read, add up all the numbers that you got from the dot plot.

2+3+6+6+7+8+8+8=48

Next we count all the number in the data set we made.

2,3,6,6,6,7,8,8,8 = 8

The amount of numbers in this data is 8.

Lastly we then divide 48 by 8.

48/8= 6

So your answer is 6!

Que números son divisibles entre 5 y 10 a la vez

Answers

Answer:

5

Step-by-step explanation:

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