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.
Learn more about intensity here:
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Which of these are a trinomial
Hi there!
»»————- ★ ————-««
I believe your answer is:
D) [tex]c^2+c+6[/tex]
»»————- ★ ————-««
Here’s why:
A trinomial is a expression that consists of three terms. A term can be a number, variable, or both numbers and variables that are multiplied together. Answer choice 'D' has three terms, c², 'c', and '6'. Therefore, it is a trinomial.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
find any 4 rational number between -1/2 and -1/3
Given:
The two numbers are [tex]-\dfrac{1}{2}[/tex] and [tex]-\dfrac{1}{3}[/tex].
To find:
The 4 rational numbers between the given numbers.
Solution:
We have,
[tex]-\dfrac{1}{2}[/tex] and [tex]-\dfrac{1}{3}[/tex]
First we need to make common denominators. So multiply and divide the first fraction by 3 and second fraction by 2.
[tex]-\dfrac{1\times 3}{2\times 3}=-\dfrac{3}{6}[/tex]
[tex]-\dfrac{1\times 2}{3\times 2}=-\dfrac{2}{6}[/tex]
We need to find 4 rational numbers between the given numbers. So, multiply and divide both fractions by five, (4+1=5).
[tex]-\dfrac{3\times 5}{6\times 5}=-\dfrac{15}{30}[/tex]
[tex]-\dfrac{2\times 5}{6\times 5}=-\dfrac{10}{30}[/tex]
Now, the four numbers between -15 to -10 are -14, -13, -12, -11.
[tex]-15<-14<-13<-12<-11<-10[/tex]
[tex]-\dfrac{15}{30}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{10}{30}[/tex]
[tex]-\dfrac{1}{2}<-\dfrac{14}{30}<-\dfrac{13}{30}<-\dfrac{12}{30}<-\dfrac{11}{30}<-\dfrac{1}{3}[/tex]
Therefore, the 4 rational number between the given numbers are [tex]-\dfrac{14}{30},\ -\dfrac{13}{30},\ -\dfrac{12}{30}\ -\dfrac{11}{30}[/tex].
Please help! No links or Files please :)
Leonard made a deposit of $4,500 into a savings account which earns 7% annual compound interest. Assuming he makes no other deposits or withdrawals, which of the following shows the amount of interest his account should earn after 15 years?
Answer:
29.6925
Step-by-step explanation:
.. The solution of which quadratic Inequality is shown on the number line?
O (3+6) (3 – 4) <0
O (2-6) (2 - 4) > 0
O (30 – 6)(+4) <0.
O (30 – 6) (x – 4) <0
Explanation:
If you graphed (x-6)(x+4) on the xy plane, then you'll see a parabola forming. This parabola has roots at x = -4 and x = 6. Between these roots, the curve is below the x axis. This visually shows that (x-6)(x+4) is negative when -4 < x < 6.
Furthermore, we can say that (x-6)(x+4) is negative or zero when [tex]-4 \le x \le 6[/tex] which corresponds directly to the number line graph your teacher gave you. The endpoints being closed circles mean "include this as part of the shaded solution set".
Describe the graph of the linear function with this equation: y + 3 = 1/3 (x-2)
Answer:
it has a slope of 1/3 and a point on the graph is (2,-3)
Step-by-step explanation:
Simplify the expression (5)2.
25
-10
-25
10
Answer:
10
Step-by-step explanation:
5 (2) is the same as 5 × 2 which equals 10
Answer:
10Step-by-step explanation:
Given here,
(5)2
= 5 × 2.
= 10 (Ans)
3
PLEASE HELP ME
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar
Consider the equation.
4(pr + 1) = 64
The value of xin terms of pis
The value of x when pis -5 is
Reset
Next
Answer:
ans : x in terms of p is 15/p and if p is -5 than x= -3
Step-by-step explanation:
4( px +1 ) = 64
( Px + 1 ) = 64/4
px = 16 - 1
x = 15/p
and , if p= -5 than,
x = 15 / (-5)
= - 3
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
Helppppp me please ASAP
Answer:
5, 19, 21
Step-by-step explanation:
The sum of two smaller sides must be larger than the largest side in order to be a triangle. This means that only the first one can be a set of the triangle.
0.45 written as a common fraction, in its simplest form, is
Answer:
920
So, 0.45=920 as a proper fraction in simplest form.
Based on the side lengths given (a, b, and c), which triangles are right triangles?
Answer:
It's the third option.
Step-by-step explanation:
the answer is b and c
sorry if im wrong
The window of the school bus need to be washed by the end of the day. Mr.Casey washes 1/3 of the 33 before lunch. If Mr.Casey washes 8 of the remaining windows after lunch, how many windows still need to be washed by the end of the day? A 11 windows B 14 windows C 19 windows D 25 windows
Answer:
14 windows is the answer
Step-by-step explanation:
windows washed before lunch = 1/3 of total windows
= 1/3 * 33
= 11 windows
windows washed after lunch = 8
windows remaining = total - washed before lunch - washed after lunch
remaining = 33 - 11 - 8
= 33 - 19
= 14 windows
investors buy a studio apartment for $240,000 . Of this amount, they have a down payment of 60,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $108,000 down payment be?
Answer:
25%
bc its 1/4 = 0.25 of the purchase price.
the other percentage is 45
108/240 = 54/120 = 18/40 = 4.5/10 = 45/100
The sum of two consecutive numbers is one less than three times the smaller integer. Find the two integers.
Answer:
2 and 3
Step-by-step explanation:
Let us start by representing the first consecutive number with x. In a similar sense, the next consecutive number would be x+1. According to the given question, we can write the following equation:
[tex]x+x+1=3x-1[/tex]
Solving for the equation by isolating the term containing x, we have:
[tex]2x+1=3x-1\\2x+2=3x\\\fbox{x=2}[/tex]
Since we have designated x as the first consecutive integer, the other integer we are looking for is x+1, or [tex]\fbox{3}[/tex] .
I hope this helps! Let me know if you have any questionss :)
In right triangle ABC shown below, what is the degree measure of ∠C ?
Answer:
No solution is posible
Step-by-step explanation:
You failed to show triangle ABC
Therefor this cannot be answered.
8.
How is the graph of y=5x^2-4 different from the graph of y=5x^2?
A. It is shifted 4 units to the left.
B. It is shifted 4 units to the right.
C. It is shifted 4 units down.
D. It is shifted 4 units up.
Answer:
C. It is shifted 4 units down.
Step-by-step explanation:
Shifted four units down. When a number is at the end of the equation, it means that that number shifts up or down depending on its sign.
Answer:
It is shifted 4 units down
Step-by-step explanation:
When we have a function the constant number that is not multiplied by a variable, in this case, 4 in the first function, indicates where the function will intercept the y-axis, or when x is equal to 0.
In this case, we have two functions:
y = 5x^2 - 4, in which -4 is the constant that will determine where the function intercepts the y-axis. So if we say that we have x=0, then y=-4
In the second function we have:
y= 5x^2, this function is very similar but we don´t have another number after 5x^2, so we will have a similar graph but when x = 0 then y = 0.
So the first graph is shifted 4 units down. We can see this in the attachment.
It shifted 4 u it’s to the left
It is shifted 4 units to the left.
?
Answer:
Step-by-step explanation:
She made the -2(6) as a positive 12. it should've been a negative 12 because a negative multiplied by a positive is a negative.
Can someone please help ?! Thanks !
Answer:
23
Step-by-step explanation:
The pattern is adding by 5
18+5=23
Hope this helps! :)
Answer:
23
Step-by-step explanation:
each one is 5+ its a pattern so the last one needs to be 5+ so 19 20 21 22 23
Ravi is 8 years older than nastasha the sum of their ages is 42 find their ages
Answer: Natasha is 17 and Ravi is 25
Step-by-step explanation:
Let n = Natasha’s age and r = Ravi’s age
We can write an equation then substitute: 42=n+r
We know that Ravi is 8 years older than Natasha, so Ravi’s age is equal to n+8. We can substitute that in, so 42= n+(n+8)
Simplify:
42=n+(n+8)
42= 2n+8
42-8=2n+8-8 (subtract 8 from both sides to isolate n)
34=2n
34/2=2n/2 (divide both sides by two)
17=n
Natasha is 17, and Ravi is 8 years older. 17+8= 25, Ravi is 25. You can double check by adding 25 and 17 together, which brings you back to 42 :]
An art student is mixing blue paint with yellow paint to create a special color. For every 6 gallons of blue paint, they need 4 gallons of yellow paint.
How much yellow paint will they need if they use 30 gallons of blue paint?
Answer:
The answer is 20 gallons of yellow paint
Answer:
20 gallons of yellow paint.
Step-by-step explanation:
4/6 = x/30 is the equation.
4 represents yellow paint.
6 represents blue paint.
We know 30 gallon of blue paints was used.
But we dont know x , the amount of yellow paint.
Criss cross bottom to top
6× X = 4×30
6x= 120
x=20
What is the remainder when 19x^2+15x+12 is divided by x-2?
Answer:
118
Step-by-step explanation:
Find the gradient of the line segment between the points (-4,4) and (0,12).
gradient = 12-4 ÷0-(-4)=8÷4=2
Answer:
gradient = 2
Step-by-step explanation:
Calculate the gradient m using the gradient formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (0, 12)
m = [tex]\frac{12-4}{0+4}[/tex] = [tex]\frac{8}{4}[/tex] = 2
12(5x + 10x²) = 256 + 60x
How do I solve this equation
Answer:
30
Step-by-step explanation:
idek
Jodie ran at an average speed of 6 km/h for 10 minutes.
How far did she run in km?
Answer:
Distance cover by Jodie = 1 kilometer
Step-by-step explanation:
Given;
Speed of Jodie = 6 kilometer/ hour
Total time Jodie ran = 10 minutes
Find:
Distance cover by Jodie
Computation:
Total time Jodie ran = 10 minutes = 10 / 60 = 0.1667 hour
Distance = Speed x time
Distance cover by Jodie = Speed of Jodie x Total time Jodie ran
Distance cover by Jodie = 6 x 0.1667
Distance cover by Jodie = 1.002
Distance cover by Jodie = 1 kilometer
in the diagram below P(x:y)is a point in the third quadrant. ROP=B and 17 cos B is equal to -15 calculate the values of x and y and r
you showed no diagram or any picture / screenshot
what is the correct answer
Answer:
below
sin30 = x/8
x = 8 *sin30
x = 4
option A is Correct
A party rental company has chairs and tables for rent the total cost to rent 12 chairs and 2 tables is $39. The total cost to rent 3 chairs and 5 tables is $57 what is the cost to rent each chair and each table
Answer:
Let C = cost to rent each chair
Let T = cost to rent each table
4C + 8T = 73
2C + 3T = 28
Multiply the 2nd equation by (-2) and then add the equations together
4C + 8T = 73
-4C - 6T = -56
2T = 17
T = 17/2 = 8.5
Plug this in to the 1st equation to solve for C
4C + 8(17/2) = 73
4C + 68 = 73
4C = 5
C = 5/4 = 1.25
So the cost to rent each chair is $1.25 and the cost to rent each table is $8.50
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
Consider the equation below.
2(n + 4) = 8–6(n-4)
Solve the equation for n.
A
-3
B
D
16
Answer:
N=3
Explanation:
Look at image below
Which Equation has a slope of 1/4 and a y intercept of 3
Answer:
option 4 see desmos graph will help you
what is the value of 642/3?
Step-by-step explanation:
[tex] \frac{642}{3} \\ [/tex]
= 214Answer:
[tex]214[/tex]
Step-by-step explanation:
[tex] \frac{642}{3} [/tex][tex] = 642 \div 3 \\ = 214[/tex]
Hope it is helpful...