Answer:
The decibel level of this second sound is 48.021 decibels.
Step-by-step explanation:
The acoustic intensity ([tex]B_{dB}[/tex]), measured in decibels, is defined by the following formula:
[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{I}{I_{o}} \right)[/tex] (1)
Where:
[tex]I_{o}[/tex] - Reference sound intensity, measured in watts per square meter.
[tex]I[/tex] - Real sound intensity, measured in watts per square meter.
If we know that [tex]B_{dB} = 42\,dB[/tex] and [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex], then the real sound intensity of the first sound is:
[tex]\frac{B_{dB}}{10} = \log_{10}\left(\frac{I}{I_{o}} \right)[/tex]
[tex]\frac{I}{I_{o}} = 10^{\frac{B_{dB}}{10} }[/tex]
[tex]I = I_{o}\cdot 10^{\frac{B_{dB}}{10} }[/tex]
[tex]I = \left(10^{-12}\,\frac{W}{m^{2}} \right)\cdot 10^{\frac{42\,dB}{10} }[/tex]
[tex]I = 1.585\times 10^{-8}\,\frac{W}{m^{2}}[/tex]
The real sound intensity of the second sound is four times greater, that is:
[tex]I' = 6.340\times 10^{-8}\,\frac{W}{m^{2}}[/tex]
If we know that [tex]I_{o} = 10^{-12}\,\frac{W}{m^{2}}[/tex] and [tex]I' = 6.340\times 10^{-8}\,\frac{W}{m^{2}}[/tex], then the acoustic intensity of the second sound is:
[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{I'}{I_{o}} \right)[/tex]
[tex]B_{dB} = 10\cdot \log_{10}\left(\frac{6.340\times 10^{-8}\,\frac{W}{m^{2}} }{10^{-12}\,\frac{W}{m^{2}} } \right)[/tex]
[tex]B_{dB} = 48.021\,dB[/tex]
The decibel level of this second sound is 48.021 decibels.
Determine whether or not the following graph represents two quantities that are proportional to each other. Explain your reasoning.
Answer:
The quantities are not proportional.
Step-by-step explanation:
The values, x and y, do not begin or pass through the origin, (0,0). This means they are not proportional.
The graph represents two quantities are not proportional to each other.
What is Proportional?A relationship is proportional if each pair of data values are related in the same way, by multiplying by a factor. You can recognize a proportional relationship by looking at data, an equation, or a graph.
Given:
As, A relationship is proportionate if its graph is a line or ray that passes through the origin.
and, It is not proportionate if the line or ray does not go through the origin. Additionally, if anything is not linear, it is not proportional.
Here the graph also does not pass through the origin.
Hence, the graph is not proportional.
Learn more about Proportional here:
https://brainly.com/question/7096655
#SPJ2
a street sign is 104 inches tall. How tall is it in feet and inches.
Answer:
8 ft 8 in
Step-by-step explanation:
104/12 = 8.666...
This shows that there are 8 total feet because there are 12 inches in a foot
Then, multiply 8*12 to get 96 in order to get the remainder of the inches left that do not make up one whole foot.
Then subtract 96 from 104 (104-96) to get the remainder which is 8 inches.
The polygons are similar. Solve for x.
scale factor from A to B = 3:5
Answer:
9
Step-by-step explanation:
if scale factor is 3/5, then
(x+12):35=3:5, ⇒
[tex]\frac{x+12}{35} =\frac{3}{5}; x=21-12; x=9[/tex]
Find the value of each expression
-22-(-5)
Answer:
-17
Step-by-step explanation:
-22-(-5) = -22+5 = -17
Answer:
the answer is -17
Step-by-step explanation:
-22-(5)-22+5=-17
Danny purchases a shirt for $30. The store charges him 8% sales tax on the purchase. How much sales tax will the store charge on the purchase?
Answer:
tax = $30.00 * 8% tax = $30.00 * 0.08 tax = $2.40
Step-by-step explanation:
luke bought 6 pretzels for himself and friends he spent a total of $13.50 let p represent the price of one pretzel
Answer:
6p=$13.50
Step-by-step explanation:
Calculate the quotient. Use paper to show all calculations. Enter your answer in the box below.
6/7 divided by 7 1/2
Answer:
4/35
Step-by-step explanation:
1. Find 7 1/2
15/2
2. Flip 15/2
2/15
3. Multiply
12/105
4. Simplify
4/35
A triangle has a base of 16" in height of 1/8 inch what is the area?
Answer:
Area of triangle is 1 inches²
Step-by-step explanation:
We are given:
Base of triangle = 16 inches
Height of triangle = [tex]\frac{1}{8} \:[/tex] inches
We need to find:
Area of triangle
The formula used to find Area of triangle is:
[tex]Area \:of\: triangle=\frac{1}{2}\times b \times h[/tex]
where b is base and h is height.
Putting values and finding area:
[tex]Area \:of\: triangle=\frac{1}{2}\times 16 \times \frac{1}{8}\\ Area \:of\: triangle=\frac{16}{16}\\ Area \:of\: triangle=1\:inches^2[/tex]
So, Area of triangle is 1 inches²
solve the question below
Answer:
The answer is below
Step-by-step explanation:
1) A triangle is a polygon with three sides and three angles. There are different types of triangles such as obtuse, scalene, right angle, equilateral and isosceles triangle.
Given that triangle ABC is right angled and AC = 25 cm = hypotenuse and BC = 15 cm. Using Pythagoras:
AC² = BC² + AB²
25² = AB² + 15²
AB² = 25² - 15²
AB² = 400
AB = √400
AB = 20 cm
Using sine rule:
[tex]\frac{sin(B)}{AC}=\frac{sin(A)}{BC}=\frac{sin(C)}{AB}\\\\But\ \angle B= 90^o(right\ angle)\ hence:\\\\ \frac{sin(B)}{AC}=\frac{sin(A)}{BC}\\\\\frac{sin(90)}{25}=\frac{sin(A)}{15}\\\\sin(A)=\frac{sin(90)}{25}*15\\\\sin(A)=0.6\\\\A=sin^{-1}(0.6)\\\\A=36.87^o[/tex]
2)
Using Pythagoras:
hypotenuse² = 8² + 6²
hypotenuse² = 100
hypotenuse = √100
hypotenuse = 10
Using sine rule:
[tex]\frac{sin(x)}{8}=\frac{sin(90)}{10}\\\\sin(x)=\frac{sin(90)}{10}*8\\\\sin(x)=0.8\\\\x=sin^{-1}(0.8)\\\\x=53.13 ^o[/tex]
Factor the polynomial:
462 + 15b - 4
Answer:
15([tex]\frac{458}{15}[/tex]+b) or
15(b+[tex]\frac{458}{15}[/tex])
Step-by-step explanation:
First we can subtract the 4.
458 + 15b
Now we need to find the GCF, but they do not share any kinds of factors together. This might look ugly, but it is what it is. We factor out 15 to get b by itself.
15([tex]\frac{458}{15}[/tex]+b) or
15(b+[tex]\frac{458}{15}[/tex])
PLEASE SOMEONE HELP ME WITH MY HOMEWORK ILL GIVE BRAINLIST TO WHOEVER GETS THIS RIGHT
Answer:
First one is sin 27 and cos 63
second one is sin 60
Step-by-step explanation:
This is marked as wrong? Can anyone please correct my mistake?
Answer:
y - 0 = -⅔(x - 3)
Step-by-step explanation:
Given a point, (a, b) and slope, m, equation of the line in point-slope form can be written.
Thus:
Substitute (a b) = (3, 0), and m = -⅔ into y - b = m(x - a).
y - 0 = -⅔(x - 3) (the equation in point-slope form)
why do planets orbit
Answer:
Newton realized that the reason the planets orbit the Sun is related to why objects fall to Earth when we drop them. The Sun's gravity pulls on the planets, just as Earth's gravity pulls down anything that is not held up by some other force and keeps you and me on the ground.
Step-by-step explanation:
0.62 devided by 3 please
Answer:
0.206 and then it repeats 6 over and over again
Step-by-step explanation:
hope it helped :)
Answer:
hey there!Step-by-step explanation:
the answer is:
0.20666666666
hope it helped and have a nice day!What three pairs of numbers have 5 as there greatest common factor?
Answer:
10 and 15, 20 and 25, and 35 and 45.
Step-by-step explanation:
2 divided by 9/10 (in fraction or mixed number form)
Answer:
decimal: 2.22 mixed number: 2 2/9
estimate 7/8 of 4/5. I will give brainiest
Answer:
0.7
Step-by-step explanation: I used a calculator.
A speed skater skates 1.5 km in 78 s. What is her speed in km/h? Round to the nearest
Answer:
Step-by-step explanation:
Speed=Distance/Time
1.5/78=0.01923076923
Answer rounded=0.02/0.019
1) The perimeter of a square is 16 inches. What is the length of each side?
4 inches
8 inches
64 inches
32 inches
Done >
Apply the Distributive Property and simplify.
- 8(x + 3) = 24
- 8x +
= 24
Answer:
x=-6
Step-by-step explanation:
-8(x+3)=24 first, divide both sides to get x+3=-3
then move the constant to the right and change its sign to get x=-3-3 and calculate to get your answer.
hope this helps!
Point A is located at (8, 7) and Point B is located at (0, 5) find the midpoint of line segment overline AB .
Answer:
The midpoint of the line segment D = ( 4, 6)
Step-by-step explanation:
Explanation:-
Given points are A(8,7) and B(0,5)
The midpoint of line segment overline AB
Let 'D' be the midpoint of AB
[tex]D= (\frac{x_{1} + x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )[/tex]
[tex]D = (\frac{8+0}{2} , \frac{7+5}{2} )[/tex]
[tex]D = (\frac{8}{2} , \frac{12}{2} )[/tex]
The midpoint of the line segment
D = ( 4, 6)
Simplify 32 ⋅ 35. (4 points)
Question 3 options:
1)
37
2)
310
3)
97
4)
910
Answer:
Jul 25, 2019 — Click here to get an answer to your question ✍️ 3. Simplify 32 • 35 ... 3. Simplify 32 • 35. (4 points) 37 310 97 910. 2. See answers. Log in to ...
2 answers
Step-by-step explanation:
can you help me i have only one day
Answer:
n = -1.825
Step-by-step explanation:
8n + 16.2 = 1.6 (Given)
8n = -14.6 (Subtract 16.2 on both sides)
n = -1.825 (Divide 8 on both sides)
Step-by-step explanation:
Move all terms not containing
n
to the right side of the equation.
Tap for fewer steps...
Subtract
16.2
from both sides of the equation.
8
n
=
1.6
−
16.2
Subtract
16.2
from
1.6
.
8
n
=
−
14.6
Divide each term by
8
and simplify.
Tap for fewer steps...
Divide each term in
8
n
=
−
14.6
by
8
.
8
n
8
=
−
14.6
8
Cancel the common factor of
8
.
Tap for more steps...
n
=
−
14.6
8
Divide
−
14.6
by
8
.
n
=
−
1.825
Pls help on #10 will give brainliest
. log 3x4
Expand each expression
Answer:
12
Step-by-step explanation:
because 3x4 is 12
Please any help with steps
Answer:
C
Step-by-step explanation:
1 inch=400 miles
x =200 miles
200 is half of 400, so the measurement should be halved as well.
Which numerical expression represents, two fifths of the product of five eighths and sixteen? please help
9514 1404 393
Answer:
[tex]\dfrac{2}{5}\times\left(\dfrac{5}{8}\times 16\right)[/tex]
Step-by-step explanation:
In this context, "of" means "times". A product of two numbers is computed by taking one "times" the other. In short, the operations being described by the words are two uses of "times". That shows up in only one answer choice.
12 The sixth grade at Johnson Middle School set a goal to raise $8,000 for their end-of -the-year field trip to Washington DC. September December March $10,000 $10,000 $9,000 $9,000 $8,000 Goal $7,000 $10,000 $9,000 $8,000 Goal $8,000 Goal $7,000 $7,000 $6,000 $5,000 $6,000 $5,000 $4,000 $3,000 $2,000 $1,000 $6,000 $5,000 $4,000 $4,000 $3,000 $3,000 $2,000 $1,000 $2,000 $1,000 60 Grade Grade 6 Grade (a) On the first day of school, Bethany's family donated $60 to the field trip fundraiser. What percent of their total goal did Bethany's family donate? F 0.75% G 75% H 2.5% J 0.25%
Answer:
0.75%
Step-by-step explanation:
Total amount to generate at fundraiser = $8000
Amount donated by Bethany family = $60
The percentage of Bethany's donation towards the fundraiser is :
Let percentage = x
x% of 8000 = 60
x/100 * 8000 = 60
0.01x * 8000 = 60
80x = 60
Divide both sides by des by 80
80x / 80 = 60 / 80
x = 0.75
The student council needs posters for the Winter Carnival. The print shop charges $15 for each print job. Each poster will cost an additional
$1.35.
Which equation shows the relationship between the number of posters, n, and the total cost, c, in dollars?
O A. c = 1.35n + 15
O B. n = 1.35n + 15
O C. c = 16.35n
O D. n = 16.35c
Answer: A. c = 1.35n + 15
Step-by-step explanation:
Given: Charge for each job = $15
Additional cost per poster = $ 1.35
Total cost = Charge for each job + (Additional cost per poster) (Number of posters) ...(i)
Varaibles:
c= Tota; cost for n posters.
Substitute all values in (i), we get
[tex]c=15+1.35n[/tex]
Hence, the required equation : c = 1.35n + 15
Hence, the correct option is A. c = 1.35n + 15.
What is M - 3 > -2???
Answer:
m>1
Step-by-step explanation:
inverse operations... add 3 to both sides so you get -2+3=1!!