the depth of water at the end of a boat dock can be modeled by a senusoidal function Y=Asin [B(r+C) ]+D where y represents the depth in feet of the water, hours after midnight on a certain day, the depth is 10 feet at low tide at 6 am and 18 feet at high tide at noon find the amplitude and midline for the general sine function that can be used to model the water's depth. ​

Answers

Answer 1

Answer:

A=4 ft

Midline: y=14

Step-by-step explanation:

When talking about sinusoidal waves, we know the amplitude will be the distance between the midline and the highest or lowest point of the graph. This can be found by first, finding the distance between the lowest point and the highest point:

d= 18ft - 10ft = 8ft

and divide this distance into 2:

[tex]A=\frac{8}{2}[/tex]

A= 4 ft

in order to find the midline, we need to figure the midpoint between the highest and lowest value. We can do so by using the following formula:

[tex]Midpoint=\frac{high+low}{2}[/tex]

so:

[tex]Midpoint=\frac{18+10}{2}[/tex]

Midpoint = 14

so the midline is located at the line:

y=14


Related Questions

can someone plz help its homework and due tdy.

Answers

Answer:

Hope this will help you.

Step-by-step explanation:

Answer: 1: 14

2: -2

3: 3

4: 2

5: 5

6: 6

7: -1

Step-by-step explanation:

what is the solution 2x-y=4 -4+2y=-8

Answers

Answer:

x= −1 /2  , y−4

Step-by-step explanation:

Are these connected or two different equation

Cut out the shapes of NETS of Cube, Cuboid and Cylinder as per the dimensions given below and find its Total Surface Area and Lateral Surface Area Dimensions of Cube = 5cm x 5cm x 5cm Dimensions of Cuboid = Length=10cm, Breadth=5cm, Height = 4cm Dimensions of Cylinder= Diameter 7cm and height 10cm

Answers

Answer:

a. i. 150 cm³ ii. 150 cm³

b. i. 220 cm³ ii. 120 cm³

c. i. 297 cm² ii. 220 cm²

Step-by-step explanation:

a. For the cube

Dimensions of Cube = 5cm x 5cm x 5cm

Length of side = 5 cm

i. Total surface area A = 6L² where L = length of side = 5 cm

So, A = 6 × (5 cm)²

= 6 × 25 cm³

= 150 cm³

ii. Lateral surface area A' = 4L²

= 4 × (5cm)²

= 4 × 25 cm²

= 100 cm²

b. For the cuboid

Dimensions of Cuboid = Length, l = 10cm, Breadth, b = 5cm, Height, h = 4cm

i. Total surface area A = 2(lb + lh + hb)

= 2(10 cm × 5 cm + 10 cm × 4 cm + 4 cm × 5 cm)

= 2(50 cm² + 40 cm² + 20 cm²)

= 2(110 cm²)

= 220 cm²

ii. Lateral surface area A' = 2(lh + hb)

= 2h(l + b)

= 2 × 4 cm (10 cm + 5 cm)

= 8 cm × 15 cm

= 120 cm²

c. For the cylinder

Dimensions of Cylinder = Diameter, d = 7cm and height, h = 10cm

i. Total surface area, A = 2πr(r + h) where r = radius = d/2

A = πd(d/2 + h)

= 22/7 × 7 cm(7 cm/2 + 10 cm)  

= 22cm(3.5 cm + 10 cm)

= 22cm(13.5 cm)

=  297 cm²

ii. Lateral surface area A = 2πrh

= πdh

= 22/7 × 7 cm × 10 cm

= 22 cm × 10 cm

= 220 cm²

Which of the tables does NOT represent a function ?

Answers

Answer:

B

Step-by-step explanation:

My teacher used to compare functions to vending machines, if i press 2 then i will get m&m's which is 6. But if I press 3 I can't get m&m's(6) and a candy bar which is 7. Hope this helped.

Sergio earned $350.40 after working 24 hours one week. If Sergio has the same hourly rate, how many hours will he need to work to earn $525.60?

Answers

Answer:

36 hours

Step-by-step explanation:

he earns 14.6 per hour

could you awnser this please​

Answers

No it is not linear.
no, a linear function has one input for every output and this does not.

- 5 represents 5 minutes before a concert starts.
5 represents 5 minutes after the concert starts.
What does zero represent in this situation?
A. The number of people who are sitting after the concert starts
B. The time when the concert starts
C. The number of people who are sitting before the concert starts
D. The length of the concert from beginning to end

Answers

Answer:

B. The time when the concert starts.

Step-by-step explanation:

If -5 is five minutes before and 5 is five minutes then 0 would be when it starts.

A salesman's commission is directly proportional to his total sales. If the commission is $100 for $1000 in sales, find the commission for $1750 in sales.

Answers

Answer is $175

C = 1/10s, and c=1/10(1750)= 175

The commission of the salesmen with the given ratio will be $175.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

The commission is $100 for $1000 in sales.

Ratio of commission to sales = 100/1000 = 0.1

With the same ratio,

Commission/1750 = 0.1

Commission = 1750 x 0.1 = $175

Hence "The commission of the salesmen with the given ratio will be $175".

For more information about ratios and proportions,

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What is the solution to the equation v/4
+ 2 = 8
V=2
V=-4
V = 40
V = 24

Answers

Answer:

4,16,32,320,240

Step-by-step explanation:

Answer:

he got it super wrong itś v/4,v/16,v/32,v/320,v/240

Step-by-step explanation:

Joel's Taxi Service charges a flat rate of $15 plus $0.10 for each mile. Write an equation in function notation and find out how much it would cost to travel 25 miles.

Answers

Answer: It would cost $17.5 travel 25 miles.

Step-by-step explanation:

Given: Flat rate = $15

Charge per mile = $0.10

Total cost = Flat rate + (Charge per mile) (Number of miles)

Let x= Number of miles traveled.

So Total cost = 15 +0.10x

Put x= 25 miles

Total cost = 15 +0.10(25)

= 15+2.5 = $17.5

Hence, it would cost $17.5 travel 25 miles.

18n + 12 = 27n + 3

5(x + 7) = 6(x - 5)

Solve for the variables SHOW WORK

Answers

Answer:

n = 1x = 65

Step-by-step explanation:

Given

18n + 12 = 27n + 3 5(x + 7) = 6(x - 5)

Solving for variables

1

18n + 12 = 27n + 3 18n - 27n = 3 - 12-9n = -9n = -9/-9n = 1

2

5(x + 7) = 6(x - 5)5x + 35 = 6x - 305x - 6x = -30 - 35-x = -65x = 65

Answer:

18n + 12 = 27n + 3

12-3=27n-18n

9=9n

n=9/9=1

5(x + 7) = 6(x - 5)

5x+35=6x-30

35+30=6x-5x

65=x

:.x=65

please help Write the number in standard form

5x10∧4

Answers

50000 haha loollplllllllll

Can u help me Find the Slope for (-4,-1),(-4,-5)

Answers

Answer:

x = -4 (and btw that is so cuteee)

Step-by-step explanation:

Points: (-4,-1) and (-4,-5)

m = y2 - y1/x2 - x1

m = (-5) - (-1)/(-4) - (-4)

m = -5 + 1/-4 + 4

m = -4/0

x = - 4

x not y ;w;

what is the value of (2/4)^-4?

Answers

Answer:

16 b plus a is mathematically plus 185 so 15

how can you use the pythagreom therem to solve real-world problem

Answers

Answer:

This application is frequently used in architecture, woodworking, or other physical construction projects. For instance, say you are building a sloped roof. If you know the height of the roof and the length for it to cover, you can use the Pythagorean Theorem to find the diagonal length of the roof's slope.

Answer:

Architecture, Engineering, Astronomy, etc.

Step-by-step explanation:

Engineers use the Pythagorean Theorem by knowing the height of the roof and the length for it to cover, and it will result in the diagonal length of the roof's slope.  Architects use the Pythagorean Theorem to calculate the heights of buildings and the lengths of walls. Astronomers sometimes use the theorem to calculate the paths of spacecraft, including rockets and satellites.

helpppp!!! (look at screenshot)
Use the map at the right. Any location equidistant from the subway station on 26th St. and the subway station on 30th St. must lie on what street?

A. 8th Ave.
B. 28th St.
C. 7th Ave.
D. 26th St.

Answers

Answer:

I think it's the 28th St. but I'm not sure.

Yea it B.28th St. .....

Here are the coordinates of rectangle PLAY: (-11,20), (-11,-3), (-1,20), (-1,-3). Find the Area of this rectangle.

Answers

Answer:

230 unit^2

Step-by-step explanation:

[tex]From\ the\ information\ provided\ we\ know\ the\ coordinates\ of\ points:\\P(-11,20),L(-11,-3),A(-1,20),Y(-1,-3)\\Hence,\\PL =AY= 20+3=23\ units\\PY=LA=11-1=10\ units\\Hence,\\As\ we\ know\ that:\\Area\ of\ a\ rectangle=Length*BreadthArea\ of\ rectangle\ PLAY=23*10\\=230\ unit^2[/tex]

A recipe calls for 13/4 cups of flour. If the recipe is tripled, how much flour is needed?

Answers

Answer:

39/4 or 9 and 3/4

Step-by-step explanation:

multiply the numerator by 3 over 1

xoxo, your highness...

Whats is the x-coordinate of x-intercept of the line with the equation 5y+2/3x=10?

Answers

Answer:

Your answer to your question is 15

Step-by-step explanation:

For parties of six or more, a restaurant adds a 20% gratuity (or tip). Ifa
dinner bill for a large party comes to $148.25, find the total dinner bill with
tip.

Answers

Answer:

$247.37

Step-by-step explanation:

The total dinner bill with a tip for the large party is $177.90.

What is the Multiplication operation?

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

The gratuity for a large party is 20% of the bill, so we can calculate the gratuity by multiplying the bill by 0.2.

Gratuity = bill x 0.2

Gratuity = 148.25 x 0.2

Apply the multiplication operation, and we get

Gratuity = 29.65

To find the total bill, we add the gratuity to the original bill.

Total bill = bill + gratuity

Total bill = 148.25 + 29.65

Apply the addition operation, and we get

Total bill = $177.90

Hence, the total dinner bill with a tip for the large party is $177.90.

Learn more about Multiplication operations here:

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The sum of twice a number and 15
Is greater than 3

Answers

2x + 15 > 3
-15. -15
2x= -12
-12/2= -6
flip sign when ended with a negative
x<-6

How many solutions does the nonlinear system of equations graphed below
have?

Answers

Answer:

two which is B

Step-by-step explanation:

the lines only intersect twice

Solve by Completing the Square then identify the type of SOLUTIONS:
3x^2 - 12x - 45 = 0

Answers

Answer: x= 2 + [tex]\sqrt\\ 19[/tex]  , x= 2 - [tex]\sqrt19\\[/tex]

Step-by-step explanation:[tex]x_{1,\:2}=\frac{-\left(-12\right)\pm \sqrt{\left(-12\right)^2-4\cdot \:3\left(-45\right)}}{2\cdot \:3}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-12\right)\pm \:6\sqrt{19}}{2\cdot \:3}[/tex]

[tex]x_1=\frac{-\left(-12\right)+6\sqrt{19}}{2\cdot \:3},\:x_2=\frac{-\left(-12\right)-6\sqrt{19}}{2\cdot \:3}[/tex]

[tex]x=2+\sqrt{19},\:x=2-\sqrt{19}[/tex]

Find the measure of the indicated angle to the nearest degree
Please show all steps ty

Answers

Answer:

71 degrees

Step-by-step explanation:

1. We know that the angle is unknown as demonstrated by '?'

2. The 17 side is opposite of the unknown angle

3. The 18 side the hypotenuse (not in contact with the right angle)

4. Therefore sine will be used where, sine(degree) = opposite/hypotenuse

5. The equation should be sine(degree) = 17/18

6. Since we don't know the degree we bring sine to the left and has a negative power of 1

7. The equation now becomes degree = sine^-1 (17/18)

8. The answer to this is 70.811... which equals 70 degrees and 48 minutes which rounds to the nearest degree of 71

Consider vectors u = (2, 1) and v = (4, -1) with the angle between them equal to 40°. What are the scalar projections
uy and v?

Answers

Answer:

Can see anything??

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

edg

Pls work this out I will give you brainest xx

Answers

Answer: x = -32/9

Explanation:

Cross-multiply to solve.

6x - 5 = 3(5x + 9)

6x - 5 = 15x + 27
Subtract 27 and subtract 6x

-32 = 9x
Divide by 9

x = -32/9

It takes Jenny 1/4 hour to ride her bike 1/2 mile. What is her unit rate of travel in miles per hour?

Answers

Answer:

2 mph

Step-by-step explanation:

Since Jenny can do 1/2 of a mile in 1/4th of an hour, she can do twice as many miles, which is 1/2

The total land area of Russia is about 20,000,000 km^2, or 2 x 10^7 km^2.

The total land area of Puerto Rico is about 10,000 km^2, or 2 x 10^2 km^2.

About how many times larger is Russia than Puerto Rico?

A. 2 x 10^-3 times
B. 19,990,000 times
C. 200 times
D. 2 x 10^3 times

Answers

Answer:

Im not sure but i think its 200 times

Step-by-step explanation:

Russia is 2 × 10³ times larger than Puerto Rico.

What is Exponentiation?

Exponentiation is a method of writing numbers, especially larger numbers, as the power of some number. A number can be written in the exponent form as aᵇ, where 'a' is called the base and 'b' is called the power or exponent.

Total land area of Russia = 20,000,000 km² = 2 × 10⁷ km²

Total land area of Puerto Rico = 10,000 km² = 10⁴ km²

Let X be the number of times that Russia is larger than Puerto Rico.

Then we can write,

Total land area of Russia = X × Total land area of Puerto Rico

2 × 10⁷ km² = X × 10⁴ km²

X = 2 × 10⁷ km² / 10⁴ km²

X = 2 × 10⁷ × 10⁻⁴

X = 2 × 10³

Hence, about 2 × 10³ times larger is Russia than Puerto Rico.

To learn more about Exponentiation, click :

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8.3x2 +0.9xy + 3.6
7.4x2 - 1.7xy + 6.4

Answers

Answer:

20.2 + 0.9xy

      &

20.2-1.7xy

Step-by-step explanation:

The second hand of a clock is 10 inches long. Find the linear velocity of the tip of the second hand

Answers

Answer:

10 inches/hour

Step-by-step explanation:

The tip moves clockwise in a circle of radius 10 inches.  The linear velocity is v = rω, where r is the radius and ω the angular velocity.  

This comes out to v = (10 inches)(1 revolution per hour) = 10 inches/hour

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