A sound wave is given by the
following equation:
y = 6 sin(324pi t)
where t = time in seconds
How many cycles will occur
between t= 3 and t = 5.5 seconds?

A Sound Wave Is Given By Thefollowing Equation:y = 6 Sin(324pi T)where T = Time In SecondsHow Many Cycles

Answers

Answer 1

Answer:

405 cycles

Step-by-step explanation:

We have the equation:

y = 6*sin(324*π*t)

For the properties of the sin function, we know that the period is 2π.

So between:

Sin(x) and Sin(x + 2*pi)

we have a cycle.

between:

Sin(x) and Sin(x + 6*pi)

we have 3 cycles.

and so on.

Now we want to find how many cycles will occur between t = 3 s, and t = 5.5 seconds

Between these times, the difference in the argument of the sin function is:

324*π*5.5 - 324*π*3 = 324*π*(5.5 - 3) = 324*π*2.5

Now, the number of cycles that we will have between these times is equal to the number of times that "2*π" is in 324*π*2.5

That number is just the quotient between 324*π*2.5 and 2*π

N = (324*π*2.5)/(2*π) = (324*2.5)/(2) = 405

There are 405 cycles between 3 seconds and 5.5 seconds.


Related Questions

Evaluate 3(x + y) for x = 2 and y = 7 show work.

Answers

Answer:

[see below]

Step-by-step explanation:

[tex]3(x+y)\\\\3(2+7)\\\\3(9)\\\\\boxed{27}[/tex]

Hope this helps!

Answer:

27

Step-by-step explanation:

plug in what = x and y in the parenthisis

so that would be 3(2+7)

you do what is in the parentheisis first 2+7= 9

then you multiply  3*9=  27

A veterinarian asked each of her 18 patrons if they have a dog. She also asked each patron if they have a
cat. The Venn diagram below shows the data she collected.
Complete the following two-way frequency table.
Have a cat
Do not have a cat
Have a dog
Do not have a dog
Have a dog
Have a cat
5
7
6
0

Answers

Answer:

                          Have a cat         Do not have cat

Have a dog                 7                            5

Do not have a dog      6                            0

Step-by-step explanation:

                                           Have a cat   Do not have a cat

Have a dog                              7                 5

Do not have a dog                     6               0

How to fill the two-way frequency table?

The interesection of the two circles represents the number of patrons that have both dogs and cats. The number in the circle that represents the number of people that have dogs only is 5 and the number in the circle that represents the number of people that have cats only is 6.

To learn more about sets, please check: https://brainly.com/question/13192210

90%in the SIMPLEST form​

Answers

Answer:

[tex]90\% = \frac{90}{100} \\ = \frac{9}{10} = 0.9[/tex]

Answer:

The simplest form of

90/100

is

9/10

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 90 and 100 is 10

Divide both the numerator and denominator by the GCD

90 ÷ 10

100 ÷ 10

Reduced fraction:

9

10

Therefore, 90/100 simplified to lowest terms is 9/10.

What is 25% of 40? OА. 10 O B. 15 O C. 20 OD. 25​

Answers

Answer:

10 Sorry if wrong!

Step-by-step explanation:

40×0.25=10

Answer:

25/100 x 40 = 10

Step-by-step explanation:

The keyword 'of' means multiplication

Consider a percent out of 100, a way to remember is that the root word 'cent' means 100.

How can the manager use the data in the dot plot to improve the airline?

Answers

Answer:

The dot plot shows that most planes fly below the optimal cruising speed. This means that the airline isn’t being as efficient as it can be. So, the manager needs to have a discussion with the pilots to determine why they aren’t reaching the optimal cruising speed or check the planes to make sure everything is running at full capacity.

Step-by-step explanation:

the answer that is given on edmentum

HELPPP PLSSS ITS DUE TOMORROW
Show your work. a2 + b2 = c2
c is the side length of the hypotenuse. c2 is the hypotenuse side length multiplied by itself. You need to find the square root of the c2 value in order to solve for c.

Answers

Answer :

We'll be using the Pythagoras property to solve this question.

According to the Pythagoras property,

H² = B² + P²

H denotes hypotenuse

B denotes base

P denotes perpendicular

Here,

H = xP = 35 cmB = 12 cm

→ (x)² = (35 cm)² + (12 cm)²

→ x² = 1225 cm² + 144 cm²

→ x² = 1369 cm²

→ x = √(1369 cm²)

x = 37 cm

Therefore, value of x is 37 cm.

40 POINTS IF YOU ANSWER CORRECTLY!
PLEASE HELP

Solve for Y and give me the three major trig ratios for theta

SHOW YOUR WORK
Thank you!

Answers

Answer:

Step-by-step explanation:

y is 15.49

Formula is b = √c^2-a^2

You could use sine [ opposite/hypotenuse ],

Cosine [adjacent/hypotenuse]

or Tangent [ opposite/adjacent ]

to find theta

Theta is 75.522

If you don't do a foreign language class in middle school, in high school will one be given to you? Is it a necessity?

Answers

Well, it depend on where you are. Where do you attend school? In the US, the most you could do is learn at least one language if it’s mandatory. It will denfinity be given to you but I think some schools was make it an requirement and others may not.

I have a question what is 3/4 × 4/5?

Answers

Answer:

3/5

Step-by-step explanation:

Because if you take 3/4 x 4/5 you can cross simplify the 4's in the equation and they cancel eachother out, so then u are left off with 3/1 x 1/5 and then you get 3/5

Unit 4: Systems of Equations
One week, Carlos bought 6 dog treats and 4
cat treats for $42. The next week, he bought 2
dog treats and 7 cat treats for $31.
Create an algebraic representation of the
situation above.
How many does each dog tre at cost?
How much does each cat treat cost?

Answers

Answer:

$5 for a dog treat

$3 for a cat treat

Step-by-step explanation:

week 1: 6d + 4c = 42

week 2: 2d + 7c = 31

*used calculator & guessed what each treat costs*

WEEK 1:

6(5) + 4(3) = 42

30 + 12 = 42

42 = 42

WEEK 2:

2(5) + 7(3) = 31

10 + 21 = 31

31 = 31

dèez nuts in your mouth lol​

Answers

Answer:

free

Step-by-step explanation:

points .-.

true true true true :D

The circumference of a circle is 6.28 meters. What is the circle's radius?
C = 6.28 m

Answers

The circumference of a circle with radius r is c = 2*pi*r. Dividing both sides by 2*pi gives r = c/(2*pi). For c=6.28 the radius is r= 6.28/(2*pi) which is approximately 1 since pi is approximately 3.14

The volume of a gas held at constant temperature varies inversely with the pressure of the gas. If the volume of the gas is 1200 cubic centimeters then the pressure is 200 millimeters of mercury, what is the volume when the pressure is 800 ml?

Answers

Answer:

300

Step-by-step explanation:

The volume of the gas varies inversely as the pressure

V= k/p

K= VP

= 1200×200

= 240,000

Therefore the volume when the pressure is 800

K= VP

240000= V×800

V= 240000/800

= 300

Hence the volume is 300 cubic centimeters

Solve the inequality 4(x – 3) – 7 < 2(x – 3).

Answers

Answer:

{x}\lt\frac{{13}}{{2}}

Step-by-step explanation:

Answer:

x < 13/2

Step-by-step explanation:

4(x-3) -7: 4x - 19

4x - 19 < 2x-6

4x - 19 + 19 < 2x - 6 + 19

4x < 2x + 13

4x - 2x < 2x + 13 - 2x

2x < 13

2x/2 < 13/2

x < 13/2

Javier is saving for a new pair of shoes that costs $59.99. So far, he has saved $22.50. How much more does he need to save? Show work.

Answers

Answer:

hi there user!

The answer is he needs to save $37.49 more

Step-by-step explanation:

59.99 - 22.50 = 37.49

Can y’all help me solve for K ?!

Answers

Answer:

Step-by-step explanation:

K+4 = 11;

k = 7

Answer:

B is true

Step-by-step explanation:

so use k+4=11 to solve that k+7

GRADE 8 MAIN
SESSION 2 /
Glenn bought a game system and 3 video games for $375. Jim bought a game system and 4 video
games at the same store for $410.
Each game system costs the same.
• Each video game costs the same.
What is the cost, in dollars, of one game system?
Enter your answer in the box.
$

Answers

Answer:

jason shdudbuasd

Step-by-step explanation:

$270 for one game system.

what is the angle from x​

Answers

Answer:

133° because vertically opposite angles are equal!

Hope this helped!

The ratio of the number of laps Tonya swam last week to the number of laps Randy swam last week is 3:10. If Randy swam 84 MORE laps last week, how many did Tonya swim?

Answers

Answer:

The number of laps Tonya swam last week were:

36 laps.

Step-by-step explanation:

To understand the ratio, you must know that 3:10 means that each time Tonya swam 3 laps, Randy swam 10 laps, by this reason, to identify the total number of laps you can divide the total difference given in the exercise (84 laps) into the difference indicated by the ratio (10 - 3 = 7 laps):

84 / 7 = 12

This number obtained is the number of times the ratio had to be met so that the difference in laps swam was 84. Now, you must multiply the obtained value (12) by the number of laps from Tonya given in the ratio (3):

Tonya's total number of laps = 12 * 3Tonya's total number of laps = 36 laps

As you can see, with the calculates, we obtained  36 laps in total. You could also do the iterations 12 times, subtracting the number of turns given by Tonya from the number of turns made by Randy and you would get the same result:

10 - 3 = 720 - 6 = 1430 - 9 = 2140 - 12 = 2850 - 15 = 3560 - 18 = 4270 - 21 = 4980 - 24 = 5690 - 27 = 63100 - 30 = 70110 - 33 = 77120 - 36 = 84

Is it possible to boost your math average of 6-7 percent in a week of homework and participating.

Answers

yes just do everything and study and u'll do fine :)

depending on where you go, just last night alone i brought grades up to 70%

SOOO in math class today we learned more about algebra such as
X + 10 = Y should I care??



Like srsly miss teacher ???
lol






welp
that's lame!!

Answers

Hello there I hope you are having an great day :)

X + 10 = Y if you are trying to work out Y it would equal y  =  x  +  10

If you are trying to work out X it would equal x  =  y  −  10

Hopefully that helps You :)

Joy is making hand-painted ornaments for her family this year. Yesterday, she made 2 ornaments in 6 hours. This weekend, she plans to spend a total of 15 hours making ornaments.
If Joy works at the same rate, how many ornaments will she make this weekend?

Answers

Answer:

[tex]6h = 2[/tex]

[tex]15h = x[/tex]

cross multiplication

i got 5 as the answer

GOTTA GRIND ON THIS SITE TO GET YOUR QUESTIONS ANSWERED!

Answers

Answer:

-8 or -5

Step-by-step explanation:

helpppppppppppppp make your answer clear please ( no links)

Answers

The answer is: 312 (Squared)

Step-by-step explanation:

(2×6 is 12. 12×2 is 24. Top and Bottom)

(12×6 is 72. 72×4 is 288. Both sides+Front and back)

(Adding those up would be: 288+24 = 312)

Kane rolls a dice and flips a coin at the same time. What is the probability he rolls a 2 or lower and the coin lands on heads?

Answers

Answer:

The probability he rolls a 2 or lower and the coin lands on heads is 16.66%.

Step-by-step explanation:

Since Kane rolls a dice and flips a coin at the same time, to determine what is the probability he rolls a 2 or lower and the coin lands on heads the following calculation must be performed:

Given = 6 sides = 2/6

Coin = 2 sides = 1/2

2/6 x 1/2 = X

0.333 x 0.5 = X

0.1666 = X

0.1666 x 100 = 16.66

Therefore, the probability he rolls a 2 or lower and the coin lands on heads is 16.66%.

Angle A terminates in the fourth quadrant with cosA= 4/5. The exact value of A is?

Answers

Answer:

324.13°

Step-by-step explanation:

Applying,

cosA = 4/5

To find the value of A, we find the inverse of the cosine of both side,

(cosA)cos⁻¹ = cos⁻¹(4/5)

A = cos⁻¹(0.8)

A = 36.87° (First quadrant)

The above value of A is its value in the first quadrant

To find the value of A in the fourth quadrant, we use the expression

∅₄ = 360-∅₁............... Equation 1

Where ∅₄= value of A in the fourth quadrant, ∅₁ = value of A in the first quadrant.

Therefore,

∅₄ = 360-36.87

∅₄ = 324.13°

Hence the value of A in the fourth quadrant is 324.13°

I’m just trynna get to 90% on this test before sunrise

Answers

Answer:

they are congruent

Step-by-step explanation:

When 3 is subtracted from one third of a number n, the result is less than 6. Which inequality and solution represent this situation?

Answers

Answer:

1/3n-3÷6

Step-by-step explanation:

3 is subtraced form 1/3

Answer:

n < 27

Step-by-step explanation:

1/3n - 3

1/3n - 3 < 6

Add 3 to each side.

1/3n - 3 + 3 < 6 + 3

Combine like terms.

1/3n < 9

Divide each side by 1/3.

1/3n ÷ 1/3 < 9 ÷ 1/3

Combine like terms.

n < 27

Which of the following are maximum and minimum points of the function y= 2 cos x - 1?
A) Maximums: (0, 3), (2π, 3); Minimum: (π, -3)
B) Maximums: (0, 1), (2π, 1); Minimum: (π, -3)
C) Maximums: (0,3), (2π, 3); Minimum: (π, -1)
D) Maximums: (0, 1) (π/2, 1); Minimum: (3^π/2, -3)

Answers

Answer:

B) Maximums: (0, 1), (2π, 1);

Minimum: (π, -3)

Which shows all the factor pairs of 27?

Answers

Answer:

The factors of 27 are 1, 3, 9, and 27 (๑・ω-)~♥”

Answer:

The factor of 27 are: 1, 27, 3, 9

Step-by-step explanation:

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