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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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.
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 expression is equivalent to
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.
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.
The monthly rent of a house is Rs4200. The rent is decreased by 15%. Calculate the new rent.
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
Solve for x
Show work
Answer:
x = 7
Step-by-step explanation:
123 = 17x + 4
123 - 4 = 17x
119 = 17x
119 / 17 = x
7 = x
which point lies in the solution set of the inequality 1/2(x+2)+3y<8?
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.
Write 240000 in standard form
Answer:
240,000
Step-by-step explanation:
standard form means the way you would write it
please help me step by step
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 help me with this!!!
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
Solve for x in the triangle round your answer to the nearest tenth
Pls help ASAP!!
Answer:
x = 3.9
Step-by-step explanation:
cos = adj/hyp
cos67 = x/ 10
x = 10 * cos67
use calculator
x = 3.9
x^2+25
A.(x+5)(x+5)
B.(x+5)(x-5)
C.(x-5)(x/5)
D.prime
Answer:
c
Step-by-step explanation:
please help! i will rank brainliest :)
Answer:
Y,O,Q
Step-by-step explanation:
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.
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
Help please and thank you...
Answer:
Its b) 55
Step-by-step explanation:
trust me,......
If someone could help that would be great. Brainliest and thanks!
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)
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?
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?
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]
Which shape has two right angles and at least one obtuse angle? WILL GIVE BRAINLIEST ASAP:)
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.
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Need help with this!!!
Answer:
A
(hg)( x)=(4x-3)(x+2)=4x²+5x-6
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
Answer:
y = 90000 (1.023)^x
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?
Answer:
59%
Step-by-step explanation:
!!!!!!!!!PLEASE HELP!!!!!!!!
Answer:
d
Step-by-step explanation:
The mass, m grams, of a ball is 415g, correct to the nearest 5 grams. Complete the statement about the value of m
this is g mail ok dont do enything messed up ok :)
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
Answer:
1. 3/5
2. 2/5
3. 1/5
Step-by-step explanation:
I'm pretty sure this is the answer :)
What is 8^ sqrt 6 in exponential form?
Answer:
option 2
Step-by-step explanation:
[tex]\sqrt[n]{x} = x^{\frac{1}{n}}[/tex]
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?
Answer:
a. 12 students had received college credit for math
b. 26 students had received college credit for science
Help plsssssssssssss
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
how to solve 9r^6/5r^3g^2
Answer:
9r^6 - 3g^2 / 5
Step-by-step explanation:
I think this would be the answer. Sorry if I am incorrect :')
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!
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?
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.
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