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
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Find the geometric mean between each pair of numbers
Show your work please
Thank you❤️❤️❤️
Answer:
1.26
Step-by-step explanation:
geometric mean =sqrt((4/5)*2)=sqrt(1.6)=1.26
What is the equation of the following line be sure to scroll down first to see all answer options
Answer:
b
Step-by-step explanation:
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Simplify.
- 2x - } – 5x + i + x
-
х
-
17/3
-
3
+
10
х
Enter your answer in the box.
Do not use decimals in your answer.
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!!
what does N equal because i dont know
Answer:
N = Natural numbers
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)?
Add, answer as a fraction:
1/15 + 3/12
A) 10/67
B) 12/27
C) 19/60
D) 4/27
Answer:
Hello, There! I'll be glad to help!
Question1/15 + 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.)
PLS PLS PLS HELP ME ILL GIVE 20 points.
Answer:
if you want to know the x is.
Step-by-step explanation:
(180°－4x)+(180°－6x)+2x=180°
x=22.5°
5.5 minutes = 330 seconds
A. True
B. False
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
2w + y = 6
a. Find y if w = -4
b. Find y if w = 10
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
what is 3,936.58 rounded to the nearest 1,000
Answer:
936.58
Step-by-step explanation:
Determine if the sequence is arithmetic 7,9,11,13,15…
If so, find the common difference
b. What would be a30
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
Factor completely. 81 p 8 − 100 =
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]
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.
d
8+2x is the correct answer
What are the terms in the expression 2d + 7 + 5f?
2 and 5
d and f
2d, 7, and 5f
2, 7, and 5
Answer: 2d, 7, and 5f
Step-by-step explanation: Each part of the equation that is separated by a + or - is considered a "term."
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
Answer:
See belowStep-by-step explanation:
Given:
Investment P = $20000Time t = 7 yearsInterest rate r = 5.5% = 0.055a. 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]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?
cut 6 into half's and spit the last into 7th's
Please answer. Don't spam!
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
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%?
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
Heyyyyy help mee please
HELP!!!! PLEASE URGENT!!! IM BEING TIMED!!! thank you
Leonardo needs 1.65 L of distilled water for an experiment how many 550 ML containers of water will he need for the experiment
Answer:
0.0003
Step-by-step explanation:
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?
Find the odd one out
1. 33
2. 57
3. 79
4. 13
5. 93
6. 52
Answer:
52
Step-by-step explanation:
All of these are odd numbers 52 isn't not a odd number so it doesn't belong...
How to solve 589 divided by 41
Answer:
14.365
Step-by-step explanation:
do long division or put it in a calculator
8. Solve the system. (1 point)
x+y=5
-2x+4y=8
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
A class has 40 students. Number of boys are 6 more than girls. Find number of boys
and girls in the class.
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.
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Determine if the two triangles are congruent. If they are, state how you know.
PLEASE HELP!!!!!!
what is 2 over 5 + 3 over 7=
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
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9р - Зр equivalent expression
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.
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?
Answer:
4x – 2y = 18
Step-by-step explanation:
Hope this helps!