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

A full bag of cat food weighs 2 ⅙ pounds. How much cat food do you have if there are 4 ½ bags in the cupboard? *

Answers

there would be 2  bags in there

Use the equation below to find c, if a = 39 and b= 27.
c=180-a-b
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Answers

Answer:

the answer is 114

Step-by-step explanation:

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Answer:

take out x+60 and = x+54 cross multiply for starters

At the farmers market, you can buy 3 jars of honey for $12,6 jars of honey for $24,or 9 jars of honey for $36.what is the constant of proportionality for buying jars of honey ?

Answers

Answer:

12

Step-by-step explanation:

Which of the following is a non linear equation?
i) x/3 = 12
ii) x + 1 = 6
iii) x + y + z = 17
iv) x y + x/y = 3

Answers

Answer:

Option (iv) is correct.

Step-by-step explanation:

The linear equation is the equation in which the degree of the equation is 1.

(i) x/3 = 12

As the degree of equation is 1, so, it is a linear equation.

(ii) x + 1 = 6

As the degree of equation is 1, so, it is a linear equation.

(iii) x + y + z = 17

As the degree of equation is 1, so, it is a linear equation.

(iv) x y + x / y = 3

x y^2 + x = 3 y

The degree of equation is 3, so the equation is non linear.

Find the slope of the line that crosses through the points (-2, 5) and (-5, -4)

Answers

Answer:

umm i believe it is positive 5

Step-by-step explanation:

i hope i helped

The correct answer is positive 5. I did it and got it correct! Hope this helps!!

hey! i’ll give brainliest please help

Answers

Answer:

Symbol also in symbolizing something

Step-by-step explanation:

Allegory: is a form of narrative in which people, places and happenings have hidden or symbolic meaning. ... This is when the meaning, situation or action is one thing but means something different.

The answer is symbol

D
Which point is the
orthocenter of AABC?
A. Point D
B. Point E
C. Point F

Answers

B because I had this question

Find the corresponding time in the different countries in relation to the Philippine time. Choose the correct answer from the give choices.

Answers

There hope that helps pretty confident in those answers it helps to convert the 1:00pm to 13:00

math math math math math

Answers

the length would be 85 km

Answer:

85 km

Step-by-step explanation:


If 9x x 3x+1 = 2187, what is the value of x?




Answers

Answer:

x = 80.96

Step-by-step explanation:

9x * 3x +1 = 2187

27x +1 = 2187

27x = 2187-1

27x = 2186

x = 2186/27 = 80.96(2dp)

Pleaseeeee helpppppppppppppppppppppppp

Answers

i think it’s 309 cm because each side is 1 cm, there’s 3 sides, and 103 triangles. so 103x3=309 sides which means 309 cm

♡BRAINLIEST TO RIGHT ANSWER♡
------Find the surface area of the figure, round your answer to the nearest hundredth if necessary <3
5.1 in
1 in​​​

Answers

Answer:

19.47

Step-by-step explanation:

if the radius Is 1 and height is 5.1

The answer in my eyes is probaly about 19.4. Don’t really know if this is right for the meaning of yours as there are many. Hope this helps x

Jessica's family took a 7-hour-and-27-minute trip on a train. They left at 7:00 a.m.
What time did Jessica's family arrive?

Answers

Jessica’s family arrived at 2:27-230

A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line?

Answers

Answer:

[tex]y=3x+4[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is equal to 0)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that the line passes through are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

We're given the point (2,10) and the y-intercept of 4. Recall that the y-intercept occurs when x is equal to 0. This means that the y-intercept occurs at (0,4), giving us our second point.

Plug these points into the equation

[tex]=\frac{10-4}{2-0}\\=\frac{6}{2}\\=3[/tex]

Therefore, the slope of the line is 3. Plug this into [tex]y=mx+b[/tex]

[tex]y=3x+b[/tex]

2) Determine the y-intercept (b)

The y-intercept is given; it is 4. Plug this back into [tex]y=3x+b[/tex]

[tex]y=3x+4[/tex]

I hope this helps!

A cable 27 feet long runs from the top of a utility pole to a point on the ground 16 feet from the base of the pole. How tall is the utility pole?

Answers

Answer: 31.38

Step-by-step explanation:

you can always remember a*2+b*2=c*2

add/ multiply a and b to find c

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y=-1/2x-1

Step-by-step explanation:

math is hard


I'll mark someone the brainlyest​

Answers

Answer:

1/w^6 or w^-6

Step-by-step explanation:

You add the two exponents

I recommend putting 1/w^6

Please mark brainliest

please help me on this thing

Answers

Answer:

85 cm

Step-by-step explanation:

Answer:

68 cm

Step-by-step explanation:

Use the following formula (Pythagorean Theorem) to solve for c:

[tex]c^{2}= \sqrt{(a^{2}) - (b^{2})[/tex]

Substitute values:

[tex]c^{2}= \sqrt{(77^{2}) - (36^{2})[/tex]

Simplify:

[tex]c^{2}= \sqrt{(5,929) - (1,296)}[/tex]

[tex]c^{2}= \sqrt{4633}[/tex]

c ≈ 68 (rounded from 68.07)

12) What value of x makes : f(x) = 30

Answers

Answer:

f(5) = 30  so x=5

Step-by-step explanation:

We want to find the value of x which makes the y value of the function 30

Looking at the graph x=5 makes y=30

Estimate the following using general rule.
730+998
796-314
7,720 × 626
6,498 ÷ 52

Answers

Answer:

answers rounded to the nearest tens: 1730, 480, 4832720, and 130.

The wild things pet store has 4 birdcages with 6 canaries in eacg cage. The pet store also has a birdcage with i oarakeets. Which expression shows the number of birds in wild things pet store?

Answers

Answer:

(4 * 6) + 8

Step-by-step explanation:

The Wild Things Pet Store has 4 birdcages with 6 canaries in each cage. The pet store also has a birdcage with 8 parakeets. Which expression shows the number of birds in Wild Things Pet Store?

Solution:

Each birdcage contain 6 canaries, therefore since there is a total of 4 birdcages, the number of canaries in the 4 bird cages is given by:

Number of canaries = 4 birdcages * 6 canaries per birdcage

Also, there is one birdcage with 8 parakeets, hence the number of parakeets is:

Number of Parakeet = 1 birdcage * 8 parakeet per birdcage = 8 parakeet

The total number of birds in the Pet store = number of canaries + number of parakeet

number of birds in the Pet store = (4 * 6) + 8

Hi, what is 1/7 + 3/4 first right answer gets brainliest

Answers

Answer:

25/28 (Decimal: 0.892857 )

Branliest?

Answer:

[tex]\frac{25}{28}[/tex]

Step-by-step explanation:

Combine the fractions by finding a common denominator.

Use the order of operations to find the value of the expression 2 + 3 x 16 - 2 x 21 - 3

Answers

Answer

5

Step-by-step explanation:

2+3x16-2x21-3

2+ (3x16)- ( 2x21) -3

2 + 48 - 42 -3

50 -42-3

8-3= 5

Answer:

=5

Step-by-step explanation:

2+3*16-2*21-3=

2+(3*16)-(2*21)-3=

2+(48)-(42)-3=

2+6-3=

8-3=

=5

Hope this helps

The height of a cuboid whose volume is 275 cm3 and base area is 25 cm2 is:​

Answers

Given:

The volume of a cuboid = 275 cm³

The base area of the cuboid = 25 cm²

To find:

The height of the cuboid.

Solution:

We know that, the volume of a cuboid is:

[tex]V=l\times b\times h[/tex]

Where, l is length, b is breadth and h is the height.

It is also written as:

[tex]V=B\times h[/tex]               ...(i)

Where, B is the base area and h is the height of the cuboid.

Putting [tex]V=275, B=25[/tex] in (i), we get

[tex]275=25\times h[/tex]

[tex]275=25h[/tex]

[tex]\dfrac{275}{25}=h[/tex]

[tex]11=h[/tex]

Therefore, the height of the cuboid is 11.

What part of the circle is shown in purple?

Answers

Answer:

Radius

Step-by-step explanation:

I know the answer

Answer:

Radius

Step-by-step explanation:

PLZ HELP ASAPPP I just need with 1 and 2 this is my very last assignment! Thank you guys for all your help this yr!

Answers

Answer:

1.   a = 32.96    m∠B = 21°   b = 12.74

2.   x = 24.99

Step-by-step explanation:

1.   Use the law of sines:

a/sin 112 = 26/sin 47

a = 26 sin 112/sin 47

a = 32.96

m∠B = 180 - 47 - 112 = 21°

b/sin 21 = 26/sin 47

b = 26 sin 21/sin 47

b = 12.74

2.   Use the law of cosines

[tex]x^{2} = 17^{2} + 11^{2} - 2(17)(11) cos 125[/tex]

    =  289 + 121 - 374 cos 125

    =  624.5175....

x =  [tex]\sqrt{624.5175...}[/tex]

 = 24.99

The scatterplot below shows the relationship between the height, in inches, and the shoe size of each of 10 students in a class. Students' Heights and Shoe Sizes 69 Height Based on the scatterplot, what ordered pair represents the outlier in the data? O (67, 7) O (8.5, 65) O (7.67) O (65,8.5)​

Answers

(67,7) is the answer

What is 5/9 +1/3 = I appreciate all answers!!

Answers

It is false or 8/9 is equal to 1

1.) Multiply Denominator:

9x3= 27

27 will be your new denominator for your answer.

then take 5 and multiply by 3.

5x3=15

then take 1 and multiply by 9.

1x9=9

Afterwards, you plus 15 and 9 to get 24.

so your fraction for the end will be 24/27.

On a quiz there are four multiple-choice questions worth 3 points each and two true/false questionsworth 1 point each . Each multiple-choice question has five possible choices . If a student randomlyguesses on each question , what is the expected value of the student's score on the test ?

Answers

Answer:

The expected value of the student's score on the test is 3.4.

Step-by-step explanation:

Multiple choice questions:

worth 3 points.

Five possible choices, one of which is correct. So the expected value of the student in each multiple choice question is:

[tex]m = 3\frac{1}{5} = 0.6[/tex]

True/false questions:

worth 1 point.

2 options, one of which is correct, so the expected value for each is:

[tex]t = 1\frac{1}{2} = 0.5[/tex]

What is the expected value of the student's score on the test ?

4 multiple choice, two true-false. So

[tex]E = 4m + 2f = 4(0.6) + 2(0.5) = 2.4 + 1 = 3.4[/tex]

The expected value of the student's score on the test is 3.4.

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