Given that [tex]I_0 = 10^-12[/tex] watts/[tex]meters^2[/tex], what is the intensity of a sound for which the decibel level of the sound measures 156? Round off your answer to three decimal places.

Answers

Answer 1

The intensity of sound which the decibel level of the sound measures 156 is 3.981 × 10³ W/m²

Decibel level, dB = 10log₁₀(I/I₀) where dB = decibel level = 156, I = intensity at 156 dB and I₀ = 10⁻¹² W/m².

Since we require I, making I subject of the formula, we have

dB/10 = log₁₀(I/I₀)

[tex]\frac{I}{I_{0} } = 10^{\frac{dB}{10} } \\I = I_{0} 10^{\frac{dB}{10} }[/tex]

Substituting the values of the variables into the equation, we have

[tex]I = I_{0} 10^{\frac{dB}{10} }\\I = 10^{-12} 10^{\frac{156}{10} }\\I = 10^{-12} 10^{15.6}\\I = 10^{15.6-12} \\I = 10^{3.6} W/m^{2}[/tex]

I = 3981.072W/m²

I = 3.981 × 10³ W/m²

So, the intensity of sound which the decibel level of the sound measures 156 is 3.981 × 10³ W/m²

Learn more about intensity of sound here:

https://brainly.com/question/4431819


Related Questions

HELP!!!! PLEASE URGENT!!! IM BEING TIMED!!! thank you

Answers

The answer for that question is B
The answer to the question is B

Add, answer as a fraction:

1/15 + 3/12

A) 10/67
B) 12/27
C) 19/60
D) 4/27

Answers

It’s CCCCCC. Do you want me to tell you why or nah

Answer:

Hello, There! I'll be glad to help!

Question

1/15 + 3/12

Answer

[tex]\boxed{Option ~C. ~19/60}[/tex]

Step-by-step explanation:

[tex]\frac{1}{15} +\frac{3}{12} =\frac{1 ~x~4}{15~x~4} +\frac{3~x~5}{12~x~5} =[/tex]

[tex]\frac{4}{60} +\frac{15}{60} = \frac{19}{60}[/tex]

Therefore, Your Answer is (Option C.)

Jeanette obtained 32% for her statistics test, which was out of a total of 300 marks. How much should she score in the computer science test that is out of 200 marks in total if she is to get a proportionally weighted average of 46%?

Answers

Answer:

134

Step-by-step explanation:

So assuming x is the score on the computer science exam, it would take 300*0.32+x=500*0.46=230 to get x=134

Which of the following algebraic expressions will translate “the sum of eight and twice w”?

A: 8 + w
B: 2(8) + w
C: 8 = 2w
D: None of these choices are correct.

Answers

d

8+2x is the correct answer

None of them have a great day

what is 2 over 5 + 3 over 7=

Answers

Answer:

[tex]\frac{29}{35}[/tex] Is correct answer

Step-by-step explanation:

Step 1: We still have different denominators (bottom numbers), though, so we need to get a common denominator. This will make the bottom numbers match. Multiply the denominators together first. Now, multiply each numerator by the other term's denominator.

Now we multiply 2 by 7, and get 14, then we multiply 5 by 7 and get 35.

Now for the second term. You multiply 3 by 5, and get 15, then multiply 5 by 7 and get 35.

Step 2: Since our denominators match, we can add the numerators.

14 + 15 = 29

That gives us an answer of = [tex]\frac{29}{35}[/tex]

In pic

(Hope this helps can I pls have brainlist (crown)☺️

Leon and Thomas have the same number of cherries. Leon eats 5 of his cherries and has 12 cherries left. Thomas eats 9 of his cherries. How many cherries does Thomas have left?

Answers

8 because they both started with 17 and 17-9 is 8

5.5 minutes = 330 seconds
A. True
B. False

Answers

Answer:

True

Step-by-step explanation:

330 Seconds = 5.5 Minutes = 5 Minutes and 30 Seconds

Answer:

False :-

Step-by-step explanation:

5 mins = 300 secs

what does N equal because i dont know

Answers

Answer:

N = Natural numbers

Find the odd one out
1. 33
2. 57
3. 79
4. 13
5. 93
6. 52

Answers

Answer:

52

Step-by-step explanation:

All of these are odd numbers 52 isn't not a odd number so it doesn't belong...

Determine if the sequence is arithmetic 7,9,11,13,15…
If so, find the common difference

b. What would be a30

Answers

Answer:

65

Step-by-step explanation:

a. since we add 2 to each term in this sequence, the difference between one term and the next is a constant. therefore, it's an arithmetic sequence

b.  in this case, a = 7 and d =2

the equation would be a30 = 7 + (30-1)2

solving this gives us 65

Find the geometric mean between each pair of numbers

Show your work please
Thank you❤️❤️❤️

Answers

Answer:

1.26

Step-by-step explanation:

geometric mean =sqrt((4/5)*2)=sqrt(1.6)=1.26

The sum of two numbers, x and y, is 12. The difference of four times the larger number and two times the smaller number is 18. Which system of equations should you use to find the two numbers?

Answers

Answer:

4x – 2y = 18

Step-by-step explanation:

Hope this helps!

Factor completely. 81 p 8 − 100 =

Answers

Answer:

Step-by-step explanation:

[tex]81p^8-100=(9p^4)^2-10^2\]\]=(9p^4+10)(9p^4-10)\]\[=((3p^2)^2-(\sqrt{10} )^2])\]\\=(3p^2+\sqrt{10} )(3p^2-\sqrt{10} )\\[/tex]

Please answer. Don't spam!​

Answers

Hello Gumiho!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

Find the distance.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Refer to the attached picture for the steps.

Answer :- The answer will be (c) [tex]\boxed{\boxed{\tt\sqrt{a^{2} + b^{2}}}}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

9р - Зр equivalent expression​

Answers

Answer:

6p

Step-by-step explanation:

9p - 3p needs to have the like terms combined. 9 - 3 is 6, and since you have to keep the p, the answer is 6p.

2w + y = 6
a. Find y if w = -4
b. Find y if w = 10

Answers

A. Y would be 14 since 2w would equal -8, and -8+14=6.
B. Y would be -14 because 2w would equal 20 and 20+(-14)=6

Answer:

a. Find y if w = -4 --- y = 14

b. Find y if w = 10 --- y = -14

Step-by-step explanation:

This is all about substitution!! For question a, we need to substitute "w" with "-4" ...

2 (-4) + y = 6

We know that a positive time a negative equals a negative...so 2 · -4 is -8.

-8 + y = 6

Now let's add 8 on both sides to isolate the variable...which equals to

y = 14

Onto question b...We substitute w with 10.

2 (10) + y = 6

 = 20 + y = 6

Subtract 20 from both sides to isolate "y"

y = -14

Hope this helpsss :D

Determine if the two triangles are congruent. If they are, state how you know.

PLEASE HELP!!!!!!

Answers

Angle-side-angle is a rule used to prove whether a given set of triangles are congruent. The ASA rule states that: If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent

Seven large hamburgers are shared equally among twelve people at a dinner. Which of the following shows the amount of a hamburger that each person eats?

Answers

cut 6 into half's and spit the last into 7th's

What are the terms in the expression 2d + 7 + 5f?

2 and 5

d and f

2d, 7, and 5f

2, 7, and 5

Answers

Answer: 2d, 7, and 5f

Step-by-step explanation: Each part of the equation that is separated by a + or - is considered a "term."

what is 3,936.58 rounded to the nearest 1,000

Answers

Answer:

936.58

Step-by-step explanation:

A class has 40 students. Number of boys are 6 more than girls. Find number of boys
and girls in the class.

Answers

Basically let's represent the number of girls with x.

There are 6 more boys than girls, so x+6

Let's sum it all up

x+x+6=40

Collect like terms;

2x+6=40

2x=40-6

2x= 34

Divide both sides by 2

x=17

17+6=23

Therefore there are 17 girls in the class and 23 boys.

please mark Brainliest.

Leonardo needs 1.65 L of distilled water for an experiment how many 550 ML containers of water will he need for the experiment​

Answers

Answer:

0.0003

Step-by-step explanation:

Heyyyyy help mee please

Answers

Here you go, hope it helps :)

How to solve 589 divided by 41

Answers

Answer:

14.365

Step-by-step explanation:

do long division or put it in a calculator


What is the equation in point slope form for a linear function with a slope of m = -4 that passes through the
point (2,- 7)?

Answers

y + 7 = -4(x - 2)

The equation for point slope form is
y - y1 = m(x - x1) where m represents the slope.

It coordinates and slope are given, they just need to be plugged into the equation.

y - (-7) = -4(x - 2)

Subtracting a negative can be written as adding a positive, so the equation can be simplified as:

y + 7 = -4(x - 2)

PLS PLS PLS HELP ME ILL GIVE 20 points.

Answers

Answer:

if you want to know the x is.

Step-by-step explanation:

(180°-4x)+(180°-6x)+2x=180°

x=22.5°

What is the equation of the following line be sure to scroll down first to see all answer options

Answers

Answer:

b

Step-by-step explanation:

mark me as brainliest have a great day

8. Solve the system. (1 point)

x+y=5
-2x+4y=8

Answers

Step-by-step explanation:

multiply the first equation by 2 and then add both equations.

2x + 2y = 10

-2x + 4y = 8

---------------------

0 + 6y = 18

y = 3

x + y = 5

x + 3 = 5

x = 2

Find the accumulated value of an investment of $20,000 for 7 years at an interest rate of 5.5% if the money is:
a. compounded semiannually
b. compounded quarterly
c. compounded monthly
d. compounded continuously.

---Round answers to nearest cent

Answers

Answer:

See below

Step-by-step explanation:

Given:

Investment P = $20000Time t = 7 yearsInterest rate r = 5.5% = 0.055

a. compounded semiannually, n = 2

[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/2)^{2*7} = 29239.88[/tex]

b. compounded quarterly, n = 4

[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/4)^{4*7} = 29315.30[/tex]

c. compounded monthly, n = 12

[tex]A = P*(1 + r/n)^{nt} = 20000(1+0.055/12)^{12*7} = 29366.44[/tex]

d. compounded continuously

[tex]A = Pe^{rt}=20000*e^{0.055*7}=29392.29[/tex]

Simplify.
- 2x - } – 5x + i + x
-
х
-
17/3
-
3
+
10
х
Enter your answer in the box.
Do not use decimals in your answer.

Answers

Step-by-step explanation:

Evaluate:

-[-1⅘ ÷ 0.3(1.2)] - 5/6

⇛-[- 20/5 ÷ 0.3(1.2)]-5/6

⇛- [-20/5 ÷ 0.36] - 5/6

⇛-[-20/5 ÷ 36/100] - 5/6

Here I have changed in expression decimal point into fraction by putting 100 in Denominator.

⇛-[-20/5 × 100/36] - 5/6

⇛-[(-20 × 100)/(5×36)] - 5/6

⇛-[-2000/180]-5/6

Remember (-) × (-) = +.

⇛2000/180 - 5/6

Now, LCM of the denominator 6 and 180 is 180.

⇛(2000 - 150)/180

⇛1850/180

Now, reduce the fraction by extracting and cancaling out by 2.

⇛825/80

Again reduce the fraction by extracting and cancaling out by 5.

⇛165/16 Ans.

Hope this helps!!

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