An experiment in a wind tunnel generates cyclic waves. When the experiment starts (at time the wind is moving 13 feet per second (the slowest speed recorded). The speed maxes out at 71 feet per second and returns to 13 feet per second after 44 seconds. Let V represent the wind speed (velocity) in feet per second and let t represent the time in seconds. Write a sine equation that describes the wave.

Answers

Answer 1

Answer:

The sine equation for the wave is;

y = 29·sin[(π/22)·(x - 11)] + 42

Step-by-step explanation:

The given wind parameters in the wind tunnel are;

The slowest speed of the wind in the wind tunnel, v₁ = 13 feet per second

The maximum speed of the wind, v₂ = 71 feet per second

The time it takes the wind to complete one cycle = 44 seconds

Therefore, we have;

The general form of the sine equation is given as follows;

[tex]y = A \cdot sin \left [B(x - C)\right ] + D[/tex]

The period, T = 44 seconds = 2·π/B

∴ B = 2·π/44 = π/22

Given that the wave starts at the slowest speed, the horizontal shift

The amplitude, A = (v₂ - v₁)/2

∴ A = (71 ft./s - 13 ft./s)/2 = 29 ft./s

The vertical shift, D = v₁ + a = 13 ft./s + 29 ft./s = 42 ft./s

D = 42 ft./s

When x = 0, sin(B·C) = -1

∴ -B × C = -π/2

∴ C = π/2 ÷ B = π/2 ÷ (π/22) = π/2 × 22/π = 11

Therefore, the sine equation for the wave is;

the sine equation for the wave is;

y = 29·sin[(π/22)·(x - 11)] + 42


Related Questions

What is the equation of this

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Answer:

it's correct

Step-by-step explanation:

can someone please help me

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Answer:

Step-by-step explanation:

I think it’s -5

la suma de los cuadrados de dos numeros​

Answers

what? i’m confusedd?

-9 + 10m = -5 + 6 solve for m

Answers

Answer:

m = 1

Step-by-step explanation:

-9 + 10m = -5 + 6

-9 + 10m = 1

10m = 1 + 9

10m = 10

m = 1

There are small, medium, and large shirts in blue, white, or gray. How many different possible outcomes are there?
9
2
12
3

Answers

3 different sizes.

3 different colors.

Total outcomes: number of sizes x number of colors.

3 x 3 = 9

There are 9 total outcomes.

Answer:

9

Step-by-step explanation:

The Counting Principle states that the number of possible outcomes is equal to the product of the number of outcomes for each event: (M)(N).

X = y - 3
2x + y = 12
pls hurry i need badly

Answers

[tex] \huge \colorbox{yellow}{Question}[/tex]

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

[tex]2x + y = 12[/tex]

[tex] \huge \colorbox{yellow}{Answer}[/tex]

[tex]x = y - 3 \: (equation \: 1)[/tex]

[tex]2x + y = 12 \: (equation \: 2)[/tex]

Substituting the value of x in

( equation 2)

[tex]2x + y = 12[/tex]

[tex]2(y - 3) + y = 12[/tex]

[tex]2y - 6 + y = 12[/tex]

[tex]2y + y = 12 + 6[/tex]

[tex]3y = 18[/tex]

[tex]y = 18 \div 3[/tex]

[tex]y = 6[/tex]

Now we get y = 6

Substituting the value of y in

( equation 1 )

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

[tex]x = 6 - 3[/tex]

[tex]x = 3[/tex]

Now we get x = 3

[tex] \huge \mathsf\red{Final \: Answer}[/tex]

y = 6

x = 3

If f(x)=3x-9, what is f(5)?

Answers

Answer:

ok so

Step-by-step explanation:

plug it in

since x=5

it would be 5=3×5-9

which would give us 5=6x

Subtract

x=-1

HELP PLEASE I DONT KNOW WHAT TO DO

Answers

Answer:

5, -10, 10

Step-by-step explanation:

a “step“ can’t be negative so we can say that we move twice to left 5 spaces

a positive number multiplied by a negative number gives as result a negative number. In this case -10

the opposite of a number is the same number in absolute value with a opposite sign. In this case 10

Which of the following is equal to 49x2−81?


(7x−9)2

(x+9)(x−9)

(7x+9)(7x−9)

(7x+9)2

Answers

Answer:

2

Step-by-step explanation:

here is the last question from my pervious post
Ill give brainliest to whoever answers it right

Answers

Answer:

G

Step-by-step explanation:

G is the correct answer. This is because X is much bigger than Y.

Chris works at a tire store. Chris can change a tire on a rim in 8 to 12 min, with all times
in between equally likely.
a) What is a probability that Chris changes a given tire in less than 9 min?
b) What is the probability that it takes between 9 min and 11.5 min?
c) What is the probability that it takes exactly 10 min?

Answers

Answer:

8 because I just guess 8

Step-by-step explanation:

because I that's all you need to know

Which of the a-values satisfy the following inequality? 7 + a < 11 Choose all answers that apply: А a = 3 B a = 4 a = 5​

Answers

Answer:

Only A. a=3

Step-by-step explanation:

Because since 7+a<11 then that means a have to be 3 or below... good luck!

Answer:

A) a=3

When a=3 7+3=10 which satisfy that 7+a<11 in which 10<11

How many cubic feet of water are in the pool?

Answers

Answer:

It depends on the size of the

Step-by-step explanation:

Like the width ,length and all that

give me the size of the pool and will assist

Depends of the size of the pool

3V3
х
60°
Find the values of x and y. Write your answers in simplest form.
X=
y=

Answers

Answer:

X=3

y=6

Step-by-step explanation:

[tex]tan60=\sqrt{3}=\frac{3\sqrt{3} }{x} \\\\x=3[/tex]

-----------

[tex]sin60=\frac{\sqrt{3} }{2} =\frac{3\sqrt{3} }{y} \\\\y=6[/tex]

hope it helps...

have a great day!!

Which of the following shows the correct order of the given numbers?


1 5/8, 1 3/10, 1.6

1.6, < 1, 5/8 < 1 3/10

1 3/10 < 1.6 < 1 5/8

1 5/8 < 1 3/10 < 1.6

Answers

Answer:

1 3/10 < 1.6 < 1 5/8

Step-by-step explanation:

All you need to do is because all the mixed numbers (even though one of them has a decimal, which could be converted to 1 3/5) have the same whole number, just put the fractional parts of the whole number from smallest to largest.

Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $2.15 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.

Answers

*see attachement for diagram

Answer:

Sal would pay $93.53 to tile his entryway.

Step-by-step explanation:

Given:

1 unit = 1 foot

Tile cost = $2.15 per square foot

To find how much will lay to tile the entry way represented on the grid in the image below, we have to find the area of the entryway he wants to tile.

The entry way can be decomposed into a trapezoid and a parallelogram. The upper shape form the middle is a trapezoid while the down part from the middle is a parallelogram.

✔️Area of the trapezoid = ½(a + b)*h

Where,

a = 7 ft

b = 4 ft

h = 5 ft

Area of the trapezoid = ½(7 + 4)*5

= ½(11)*5

= 27.5 ft²

✔️Area of the parallelogram = b*h

b = 4 ft

h = 4ft

Area of the parallelogram = 4*4 = 16 ft²

✔️Total area of the entryway to be tiled = 27.5 + 16 = 43.5 ft²

✅Cost to tile 1 ft² = $2.15

Therefore, cost to tile 43.5 ft² = 2.15*43.5 = 93.525 ≈ $93.53

✅Sal would pay $93.53 to tile his entryway.

What is X equal to in this problem?

Answers

Answer:

28 degrees

Step-by-step explanation:

unit 8 homework 4 geometry

Answers

Answer:

14. 44.8 feet

cos48=30/x

x=30/cos48

x=44.8

15. 2352 feet

tan12=500/x

x=500/tan12

=500/0.2126

x=2352

In the equation 3x - 9 = 3, what is the first step we should do?

Answers

Anse

draw the line down the equal sign

Step-by-step explanation:

Answer:

Step-by-step explanation:

add 9 to both and then cancel out both 9s and add 3 and 9 together

PLEASE HELPP!!I need to pass this please!!im confused
Question:Which statement is true of Jenna's monthly electricity bill

A.for every 15 units of electricity used monthly the charges $0.10
B.for each unit of electricity use the charges $10 plus $15 for the first month
c.Jenna has to pay $15 for each unit of electricity used and a $0.10 fixed monthly charge
DJenna has to pay $1 for every 10 units of electricity used plus a $15 fixed monthly charge ​

Answers

Answer:

saw this question on egde its b

reggie picked 72 flowers he wants to split them up and give an equal number of flowers to his aunts how many flowers will each aunt receive?

Answers

Answer:

?

Step-by-step explanation:

Without knowing number of aunts how can we split?

Or I don't understand the question , Anyone can solve ??

hello please help thanks

Answers

Answer: 2 one

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

Sinkholes are cavities in the ground that form when water erodes an underlying rock layer.

find the x-intercepts, use the zero product property, r(r+7)=0

Answers

9514 1404 393

Answer:

  r = 0

  r = -7

Step-by-step explanation:

There is no x in the equation, hence there are no x-intercepts.

__

If we assume you want the values of r that satisfy the equation, the zero product property tells you they will be the values that make the factors zero.

The factors are r and (r+7).

The factor r is zero when ...

  r = 0

The factor (r+7) is zero when ...

  r +7 = 0   ⇒   r = -7

The "x-intercepts" are r=0 and r=-7.

find the area of this figure.

Answers

Answer:

it is 285 ...cause you should multiply 15 by 17 and add 19 and 11 .. it is 285

Graph a line with a slope of 5 that contains the point (-2,4).

Khan Academy

Answers

Answer:

Graph the point (-2, 4) and then use rise over run (Up 2 and right 5)

Step-by-step explanation:

y - y1 = m(x - x1)

y - 4 = 2/5(x + 2)

y - 4 = 2/5x + 4/5

y = 2/5x + 24/5

A right triangle has legs that are 5 cm and 7 cm long what is the length of the hypotenuse

1.√12
2.√24
3.√74
4.√144

Answers

Answer:

3. 74

Step-by-step explanation:

The pythagorean theorem states that A^2 + B^2 = C^2 (with c being the hypotenuse). So to figure it out we can substitute into the equation.

5^2 = 25

7^2 = 49

25 + 49 = 74

So it would be the square root of 79. I hope this helps! :)

The length of the hypotenuse side of a triangle is √74. Therefore, the correct answer is option 3.

What is the Pythagoras theorem?

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, a right triangle has legs that are 5 cm and 7 cm long.

Let the length of the hypotenuse side be x.

Now, x²=5²+7²

x²=25+49

x²=74

x=√74 units

Therefore, option 3 is the correct answer.

To learn more about the Pythagoras theorem visit:

brainly.com/question/21926466.

#SPJ2

What is the formula for the area of a circle?
O A. A = 727
O B. A = 20
O C. A = terd
O D. A = 2

Answers

D) A=pi(r)^2 is the answer

What is the area? pleaseee helppppp

Answers

Answer:

A = 12 sq in

Step-by-step explanation:

A = bh/2

A = 6(4)/2

A = 12

a person who is at least 65 years old is considered a senior citizen write an inequality that represents this situation. Let a represent the persons age​

Answers

a >/= 65
A is greater than or equal to 65 (sometimes the symbols don’t show up correctly)

What geometric figure would you get if you joined the endpoints of two rays and pointed the rats in opposite directions?

Pls help me ASAP, this is due today. I would really appreciate it.

Answers

A line? They’ll look like this right? <—••—> ?
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