The loudness L of sound in decibels is given by L=10log(I/I0) where I is the intensity of the sound, and I0 is the intensity of the least audible sound. If I0=10^-12 W/m^2 about how many times more intense is a 97 decibel sound than a 93 decibel sound?

A. 4.5
B. 1.5
C. 2.5
D. 3.5

Answers

Answer 1
It’s C. 2.5


Explanation:
Answer 2

97 decibel sound is 2.5 times more intense than a 93 decibel sound

Correct option is C.

What is intensity of sound?

Sound intensity also known as acoustic intensity, is defined as the power transmitted by a sound wave per unit area in a direction perpendicular to that area. Sound intensity is the sound power in watts divided by the area (in square meters) covered by the sound. Sound loudness relates the intensity of a particular sound to its strength at the threshold of hearing, measured in decibels (dB).

Given expression for loudness

L = 10 log(I/I₀)

Loudness of two different sounds are

L₁ = 97 decibel and L₂ = 93 decibel.

Let the intensity for the loudness L₁ and L₂ are I₁ and I₂

Then,

L₁ = 10log(I₁/I₀) = 97

⇒ log(I₁/I₀) = 9.7

taking antilog

I₁/I₀ = antilog (9.7)

I₁/I₀ = 5011872336.27271

L₂ = 10log(I₂/I₀) = 93

⇒ log(I₂/I₀) = 9.3

taking antilog

I₂/I₀ = antilog (9.3)

I₂/I₀ = 1995262314.96888

Then,

(I₁/I₀)/(I₂/I₀) = 5011872336.27271/1995262314.96888

I₁/I₂ = 2.51188643 ≈ 2.5

Hence, 2.5 times more intense is 97 decibel sound than 93 decibel sound.

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Related Questions

Please help me with this!!!

Answers

Answer:

im not sure but i think its 151200

Step-by-step explanation:

12000 + %5 = 12600 x 12 = 151200                   i could be completely wrong tho

Write 240000 in standard form

Answers

Answer:

240,000

Step-by-step explanation:

standard form means the way you would write it

!!!!!!!!!PLEASE HELP!!!!!!!!

Answers

Answer:

d

Step-by-step explanation:

please help! i will rank brainliest :)

Answers

Answer:

Y,O,Q

Step-by-step explanation:

Help plsssssssssssss

Answers

Answer:

1; 1....... 2;4.....3;5........4;10.....5;5.......6;;5

Step-by-step explanation:

yOU COUNT HOW MANY TIMES YOU SEE 1,2,3,4,5,6

Help please and thank you...

Answers

Answer:

Its b) 55

Step-by-step explanation:

trust me,......

A university record search of 250 incoming freshmen
at a state university shows that 26 had received college
credit for science courses but not math courses,
and 12 had received college credit for math but not
science. There were 202 that had not received college
credit for either.
a. How many of the students had received college credit for math?
b. How many had received credit for science courses?

Answers

Answer:

a. 12 students had received college credit for math

b. 26 students had received college credit for science

A ball thrown in the air has a height of y = - 16x² + 50x + 3 feet after x seconds. a) What are the units of measurement for the rate of change of y? b) Find the rate of change of y between x = 0 and x = 2?

Answers

Answer:

a)[tex]ms^{-1}[/tex]

b)[tex]71ms^{-1}[/tex]

Solution:

a)

we are finding the derivative from position to velocity thus

units = [tex]ms^{-1}[/tex]

b)

[tex]m=\frac{y(2)-y(0)}{2-0}=\frac{139+3}{2}=71ms^{-1}[/tex]

If someone could help that would be great. Brainliest and thanks!

Answers

Answer:

D does not show an equivalent rate

Step-by-step explanation:

we first need to find out how many words typed per minute so we divide 75 by 3 (3 divided by 3 is 1 and what we do to one side must be done to the other)

75 ÷ 3 = 25

25 word per 1 minute

now we need to multiply the minute by 25 to get the number of words typed

25(words) x 1(minute) = 25 words in 1 minute(so A is correct)

25(words) x 2(minute) = 50 words in 2 minutes(so B is correct)

25(words) x 4(minute) = 100 words in 4 minutes (so C is correct)

25(words) x 5(minute) = 125 words in 5 minutes(so D is incorrect)

which point lies in the solution set of the inequality 1/2(x+2)+3y<8?

Answers

Note: Options are missing. So, the general solution of the given inequality is shown below.

Given:

The inequality is:

[tex]\dfrac{1}{2}(x+2)+3y<8[/tex]

To find:

The point lies in the solution set of the given inequality.

Solution:

We have,

[tex]\dfrac{1}{2}(x+2)+3y<8[/tex]

It can be written as:

[tex]\dfrac{1}{2}(x)+\dfrac{1}{2}(2)+3y<8[/tex]

[tex]\dfrac{1}{2}x+1+3y<8[/tex]

[tex]\dfrac{1}{2}x+3y<8-1[/tex]

[tex]\dfrac{1}{2}x+3y<7[/tex]

All the points that satisfy the above inequality are in the solution set of the given inequality.

For example (0,0).

[tex]\dfrac{1}{2}(0)+3(0)<7[/tex]

[tex]0<7[/tex]

This statement is true. It means (0,0) is in the solution set.

For example (0,3).

[tex]\dfrac{1}{2}(0)+3(3)<7[/tex]

[tex]9<7[/tex]

This statement is false. It means (0,3) is not in the solution set.

The graph of the inequality [tex]\dfrac{1}{2}x+3y<7[/tex] is shown below.

All the points in the shaded region are in the solution set but the points on the boundary line are not in the solution set.

Be the Teacher
A student's work in solving an equation is shown below:
4x2 + 2x = 0
2x (2x+1= G
2x+/= 0
2x=-1
=-{-1/
Determine if there's an error in the student's work. If there is, explain what the error is,
and correct it.

Answers

Answer:

x = 0 and x = -1/2

Yes there is an error in the student's work. The error is that he is considering only single value of x. To correct the error he/she must calculate all the possible values of x. The process is shown in the paper.

how to solve 9r^6/5r^3g^2

Answers

Answer:

9r^6 - 3g^2 / 5

Step-by-step explanation:

I think this would be the answer. Sorry if I am incorrect :')

The monthly rent of a house is Rs4200. The rent is decreased by 15%. Calculate the new rent.

Answers

Answer:

3570

Step-by-step explanation:

the current monthly rent is 4200.

now, decreasing it by 15% means to reduce it, to subtract 15% from it.

4200 = 100%

42 = 1%

15% = 42 × 15 = 630

so, the new rent is 4200 - 630 = 3570

Which expression is equivalent to

Answers

(16x^10+88x^5+121) is the answer if distributed

What is 8^ sqrt 6 in exponential form?

Answers

Answer:

option 2

Step-by-step explanation:

[tex]\sqrt[n]{x} = x^{\frac{1}{n}}[/tex]

x^2+25

A.(x+5)(x+5)
B.(x+5)(x-5)
C.(x-5)(x/5)
D.prime

Answers

It’s prime because none of the other answers work.

Answer:

c

Step-by-step explanation:

A copper key is placed in a cylindrical container with a 3-cm diameter. The water level rises from 14 cm to 14.6 cm. What is the volume of the key?


Options:

The volume is about 4.24 cm^3.

The volume is about 3.72 cm^3.

The volume is about 2.96 cm^3.

The volume is about 1.41 cm^3.

Answers

Answer:

The volume is about 4.24 cm^3.

Step-by-step explanation:

From the question we are told that:

Diameter[tex]d= 3-cm[/tex]

Radius [tex]r=d/2=>1.5cm[/tex]

Height risen[tex]14.6-14=0.6cm[/tex]

Generally the equation for Volume of a Key is mathematically given by

Since Volume of a cylinder is Given as

[tex]V=\pir^2h[/tex]

Therefore

[tex]V=\pi*1.5^2*0.6[/tex]

[tex]V=4.2417\\\\V=4.24 cm^3[/tex]

Correct Option A

The volume is about 4.24 cm^3.

Which shape has two right angles and at least one obtuse angle? WILL GIVE BRAINLIEST ASAP:)

Answers

Answer: B


Explanation: This trapezoid has two right angles, one obtuse angle and one acute angle.

The trapezoid has two right angles and at least one obtuse angle, the correct option is B.

What is the obtuse angle?

A obtuse angle is an angle which is greater than 90° and less than 180°.

A right trapezoid (also called right-angled trapezoid) has two adjacent right angles.

Right trapezoids are used in the trapezoidal rule for estimating areas under a curve.

An acute trapezoid has two adjacent acute angles on its longer base edge, while an obtuse trapezoid has one acute and one obtuse angle on each base.

Hence, the trapezoid has two right angles and at least one obtuse angle.

Learn more about trapezoid here;

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At the end of last year, the population of Alice's hometown
was approximately 90,000 people. The population is growing
at of 2.3% each year. Which function models the growth of
this city?
O y = 90000 (2.3)x
O y = 90000 (1.023)x
O y = 90000 (0.977)x
O y = 90000 (1.23)x

Answers

Answer:

y = 90000 (1.023)^x

Need help with this!!!

Answers

Answer:

A

(hg)( x)=(4x-3)(x+2)=4x²+5x-6

Solve for x
Show work

Answers

Answer:

x = 7

Step-by-step explanation:

123 = 17x + 4

123 - 4 = 17x

119 = 17x

119 / 17 = x

7 = x

A hotel room is originally priced at $159.00 per night during the week (Monday-Thursday). On weekends (Friday - Sunday), the price increases by 12%. What is the price of a hotel room on a Saturday night?

Answers

I’m not sure but $19.08

100 students are interviewed to see which of biology, chemistry or physics they
prefer.
46 of the students are girls. 36 of the girls like biology best.
31 of the boys prefer physics.
7 out of the 20 who prefer chemistry are girls.
What percentage of the students prefer biology?

Answers

Answer:

59%

Step-by-step explanation:

A bag contains three red marbles and two blue marbles.

(1.) What is the probability of reaching in and pulling out a red marble?

(2.) Chloe reaches in the bag, pulls out a marble, puts it back in the bag, and pulls out another marble. What is the probability that both marbles are blue?

(3.) Chloe reaches in the bag, pulls out a marble, does NOT put it back in the bag, then pulls out another marble. What is the probability that both marbles are blue?
Thank you

Answers

Answer:

1. 3/5

2. 2/5

3. 1/5

Step-by-step explanation:

I'm pretty sure this is the answer :)

1. 3/5
2. 2/5
3. 1/5
I hope this helps!

A dog is leashed to a point in the center of a large yard, so the area the dog is able to
explore is circular. The leash is 25 feet long. What is the area of the region the dog is able to
explore. Use 3.14 for pi. Round to the nearest tenth if necessary.

Answers

Answer:

78.5

Step-by-step explanation:

The radius of the circle is 25 so youu multiply that by 3.14

25*3.14=78.5

please help me step by step​

Answers

a)

sin18 = AB/80

AB = (sin18)(80) = 24.7214 m

b)

tan25 = BT/AB = BT/24.7214

(24.7214)(tan25) = BT

BT = 11.5278 m

PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!

Answers

Answer:

[tex]so \: area = \pi \times {r}^{2} \\ = \pi \times {3}^{2} \\ = 9\pi \: {units}^{2} [/tex]

What is the range of the function shown below?

Answers

Answer:

y ≤ 0

Step-by-step explanation:

The correct option is option C. The range of the given function is less than or equal to zero i.e., y ≤ 0.

What are domain and range of a function?

Range is the set of all values that the given function can output, whereas domain is the input or set of values for which the function is defined.

The graph of a function is shown. We know that the range of function is the output of the input of values we give to the function. Another thing to keep in mind is that we often plot functions with the outputs on the vertical axis and the inputs on the horizontal axis.

From graph it is clear that the function is going down from axis to negative y - axis.

So , it is clear that range will be less than or equal to zero.

i.e.,

Range is :

y ≤ 0

Therefore , the correct option is option C. The range of the given function is less than or equal to zero i.e., y ≤ 0.

Learn more about range of a function here :

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Solve for x in the triangle round your answer to the nearest tenth
Pls help ASAP!!

Answers

Answer:

x = 3.9

Step-by-step explanation:

cos = adj/hyp

cos67 = x/ 10

x = 10 * cos67

use calculator

x = 3.9

The mass, m grams, of a ball is 415g, correct to the nearest 5 grams. Complete the statement about the value of m

Answers

this is g mail ok dont do enything messed up ok :)

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