The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. Jessica is listening to soft music at a sound intensity level of 10^-9 on her computer while she does her homework. Braylee is completing her homework while listening to very loud music at a sound intensity level of 10^-3 on her headphones. How many times louder is Braylee’s music than Jessica’s?

Answers

Answer 1

Answer:

Braylee’s music is 3 times louder than Jessica's

Step-by-step explanation:

Given

[tex]L = 10\log\frac{I}{I_0}[/tex]

[tex]I_0 = 10^{-12}[/tex]

Required

Number of times Braylee's music is louder than Jessica's

First, we calculate the loudness of Jessica's music.

From the question;

[tex]I = 10^{-9}[/tex]

So, we have:

[tex]L = 10\log\frac{I}{I_0}[/tex]

[tex]L = 10\log\frac{10^{-9}}{10^{-12}}[/tex]

Apply law of indices

[tex]L = 10\log{10^{12-9}}[/tex]

[tex]L = 10\log{10^3[/tex]

Apply law of logarithm

[tex]L = 3*10\log{10[/tex]

[tex]\log10 = 1[/tex]

So:

[tex]L_1 = 3*10*1 = 30[/tex]

First, we calculate the loudness of Braylee's music.

From the question;

[tex]I = 10^{-3}[/tex]

So, we have:

[tex]L = 10\log\frac{I}{I_0}[/tex]

[tex]L = 10\log\frac{10^{-3}}{10^{-12}}[/tex]

Apply law of indices

[tex]L = 10\log{10^{12-3}}[/tex]

[tex]L = 10\log{10^9[/tex]

Apply law of logarithm

[tex]L = 9*10\log{10[/tex]

[tex]L_2 = 9*10*1 = 90[/tex]

At this point, we have:

[tex]L_1 = 30[/tex] --- Jessica's

[tex]L_2 = 90[/tex] --- Braylee's

Divide L2 by L1 to get the required number of times

[tex]n = \frac{L_2}{L_1}[/tex]

[tex]n = \frac{90}{30}[/tex]

[tex]n = 3[/tex]

 

Answer 2

Answer:

D.

Step-by-step explanation:

The Loudness, L, Measured In Decibels (Db), Of A Sound Intensity, I, Measured In Watts Per Square Meter,

Related Questions

if you can, answer at least 2 question I put 10 points on it

Answers

Answer:

a) one solution(x = 9)

b) no solution

c) infinite solutions

Step-by-step explanation:

a) To solve this equation, we can add 4 on both sides in order to isolate x:

x - 4 =5

+ 4     + 4

x = 9

Since x equals 9, that counts as only one solution, as there is only one value of x that makes the equation true.

b) We start by subtracting 2x from both sides to combine the variable terms:

2x - 6 = 2x + 5

-2x         -2x

-6 = 5

The statement, -6 = 5 is never true and it is not dependent on the value of x. This means there are no solutions to this equation.

c) We can start by subtracting 3x from both sides to combine the terms with x:

3x + 12 = 3x + 12

-3x          -3x

12 = 12

The statement above is always true, and no matter the value of x, it will always be true. This means there are infinite solutions to the equation.

ABC has vertices at A(3.2), B(1.4), and C(2.7).

What will be the new vertices after a 90° counter clockwise rotation about the origin?​

Answers

Answer:

A = 1,4

B = 2,1

C = -4,-5

Step-by-step explanation:

The 90 degree anticlockwise rotation around the origin (0,0) would over lap the y axis around 1 and due to this the formation would show C point at -4,-5

Please help thanks!!!

Answers

Answer:

Parallelogram

Step-by-step explanation:

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

x≥−3

Step-by-step explanation:

Let's solve your inequality step-by-step.

2x+3/ −3 ≤1

Step 1: Simplify both sides of the inequality.

−2/ 3 x−1≤1

Step 2: Add 1 to both sides.

−2/ 3 x−1+1≤1+1

−2/ 3 x≤2

Step 3: Multiply both sides by 3/(-2).

( 3/ −2 )*( −2/ 3 x)≤( 3/ −2 )*(2)

x≥−3

Answer:

x≥−3

A rural homeowner had his television antenna held in place by three guy wires, as shown in the following figure. If the distance to each of the stakes from the base of the antenna are the same, what is true about the lengths of the wires? Explain using congruence theorems.

Answers

Answer:

E

Step-by-step explanation:

Tori drew a scale drawing of a picnic area near the river. The scale she used was 1 inch : 2 yards. If the picnic area is 47 inches wide in the drawing, how wide is the actual picnic area?

Answers

Answer:

94 yards

Step-by-step explanation:

2x47=94

3. Simplify:
a) 4a - 3b + a - 2b

Answers

That’s the answer 5a-5b

Answer:

4a-3b+a-2b

5a-3b-2b

5a-3b-2b

5a-5b

solution: 5a-5b

Allen finds the area of the woods to be 6600 square feet. Why is Allen

incorrect?


A: Allen is incorrect because he applied the scale to the sides and then

multiplied the width and the length together.


B: Allen is incorrect because he multiplied the length and the width and then

applied the scale.


C: Allen is incorrect because he did not apply the scale.


D: Allen is incorrect because he used the formula to find perimeter instead of

area.

Answers

Answer: C

Step-by-step explanation:

Is it true or false?

Answers

Answer:

true, yes

Step-by-step explanation:

Answer:

I think it's true but I could be wrong

Factor the following:
x^2 - 9​

Answers

Answer:

(x + 3)(x - 3)

Step-by-step explanation:

[tex] {x}^{2} - 9 \\ = {x}^{2} - {3}^{2} \\ = (x + 3)(x - 3)[/tex]

Simplify the following expression log(x^2)-log(x)

Answers

Answer:log a - log b = log (a/b) than use this formula will get

log x^2 -log x = log (x^2 /x) = log x

so answer is log x

Step-by-step explanation:

A fan oscillates 250* and can be felt from a distance of 4 feet away . To the nearest tenth what area of the room can feel the wind from the fan? Use 3.14 for pi .

Answers

Answer:

[tex]A=256.67ft^2[/tex]

Step-by-step explanation:

From the question we are told that:

Fan oscillates [tex]\theta=250[/tex]

Distance [tex]d=>Raduis\ r=4 feet[/tex]

Since

 [tex]250\textdegree =180\textdegree +70\textdegree[/tex]

Generally the equation for the area A is mathematically given by

 [tex]Area=Area\ of\ semi\ circle\ + area\ of\ 70\textdegree sector[/tex]

 [tex]A=A_{sm}+A_{70\textdegree}[/tex]

Where

 [tex]A_{sm}=\frac{1}{2} \pi r^2[/tex]

 [tex]A_{sm}=\frac{1}{2} 3.14 4^2[/tex]

 [tex]A_{sm}=25.12ft^2[/tex]

 [tex]A_{70\textdegree}=\frac{1}{2}r^2 \frac{70\textdegree}{360\textdegree}[/tex]

 [tex]A_{70\textdegree}=\frac{1}{2}*4^2* \frac{70\textdegree}{360\textdegree}[/tex]

 [tex]A_{70\textdegree}=1.55ft^2[/tex]

Therefore the area A is given as

 [tex]A=A_{sm}+A_{70\textdegree}[/tex]

 [tex]A=25.12ft^2+1.55ft^2[/tex]

 [tex]A=256.67ft^2[/tex]

Please help me with this thx need soon

Answers

Answer:

A) x = 7

Step-by-step explanation:

7x + 1 + 7x + 6 + (180° - 15x) = 180°

14x + 7 + 180° - 15x = 180°

combine like terms:

-x = -7

x = 7

. A sequence starts with 180, 120, …. If the sequence is arithmetic, create a recursive and explicit formula for the sequence. If the sequence is geometric, create a recursive and explicit formula for the sequence.

Answers

Answer:

Arithmetic Sequence

[tex]T_n = 240-60n[/tex] ---- Explicit

[tex]T_n = T_{n-1} - 60[/tex] --- Recursive

Geometric Sequence

[tex]T_n = 270* (\frac{2}{3})^n[/tex] ---- Explicit

[tex]T_n = T_{n-1} * \frac{2}{3}[/tex] ---- Recursive

Step-by-step explanation:

Given

[tex]180, 120,....[/tex]

(a) Assume it is an arithmetic sequence

The explicit formula is calculated using:

[tex]T_n = a + (n - 1)d[/tex]

Where

[tex]a = 180[/tex]

[tex]d = 120 - 180[/tex]

[tex]d = -60[/tex]

So, we have:

[tex]T_n = 180 + (n - 1)*-60[/tex]

[tex]T_n = 180 -60n + 60[/tex]

Rewrite

[tex]T_n = 180 + 60-60n[/tex]

[tex]T_n = 240-60n[/tex]

The recursive function is calculated using:

[tex]T_1 = 180[/tex]

[tex]T_2 = 120 = 180 - 60 = T_1 - 60[/tex]

[tex]T_3 = 60 = 120 - 60 = T_2 -60[/tex]

-

[tex]T_n = T_{n-1} - 60[/tex]

(b) Assume it is a geometric sequence

The explicit formula is calculated using:

[tex]T_n = ar^{n-1}[/tex]

Where

[tex]a = 180[/tex]

[tex]r = \frac{120}{180}[/tex]

[tex]r = \frac{2}{3}[/tex]

So, we have:

[tex]T_n = 180 * (\frac{2}{3})^{n-1}[/tex]

Split

[tex]T_n = 180 * (\frac{2}{3})^n \div (\frac{2}{3})^1[/tex]

[tex]T_n = 180 * (\frac{2}{3})^n \div (\frac{2}{3})[/tex]

Rewrite as:

[tex]T_n = 180 * (\frac{2}{3})^n * (\frac{3}{2})[/tex]

[tex]T_n = 180 * (\frac{3}{2})* (\frac{2}{3})^n[/tex]

[tex]T_n = 180 * \frac{3}{2}* (\frac{2}{3})^n[/tex]

[tex]T_n = 90 * 3* (\frac{2}{3})^n[/tex]

[tex]T_n = 270* (\frac{2}{3})^n[/tex]

The recursive function is calculated using:

[tex]T_1 = 180[/tex]

[tex]T_2 = 120 = 180 * \frac{2}{3} = T_1 * \frac{2}{3}[/tex]

[tex]T_3 = 80 = 120 * \frac{2}{3} = T_2 * \frac{2}{3}[/tex]

-

[tex]T_n = T_{n-1} * \frac{2}{3}[/tex]

Does (7, 8) make the equation y = x + 5 true?

Answers

Answer:

..

Step-by-step explanation:

no the correct point would be (7,12)

7x1=7

7+5=12

Answer:

nop0e

Step-by-step explanation:

6x + 3 + 4x = (9 + 10x)?x

Answers

Answer:

It has no solution.

Step-by-step explanation:

6x + 3 + 4x = 9 + 10x

10x + 3 = 9 + 10x

10x + 3 - 3 = 9 - 3 + 10x

10x = 6 + 10x

10x - 10x = 6 + 10x - 10x

0 ≠ 6

It has no solution.

Manuel works for the water company as a meter reader. The meter below is the Jansen's water meter. What is the reading, in ccf, on the meter shown?

Answers

Answer:

See Explanation

Step-by-step explanation:

Required

The meter reading in ccf

The question is incomplete, as the  meter readings is not given. So, I will solve using an assumed value for the meter readings.

Let

[tex]x\ m^3 \to meter\ readings[/tex]

The readings in ccf is:

[tex]Reading = \frac{x}{2.832}[/tex]

Now, assume the value of x is 25; The readings will be:

[tex]Reading = \frac{25}{2.832}ccf[/tex]

[tex]Reading = 8.83\ ccf[/tex]

Find the value of x number on top is 6 and other is 9

Answers

Answer:

x = - 12, 3

Step-by-step explanation:

By tangent secant theorem:

[tex]x(x + 9) = {6}^{2} \\ \\ {x}^{2} + 9x = 36 \\ \\ {x}^{2} + 9x - 36 = 0 \\ \\ {x}^{2} + 12x - 3x - 36 = 0 \\ \\ x(x + 12) - 3(x + 12) = 0 \\ \\ (x + 12)(x - 3) = 0 \\ \\ x + 12 = 0, \: \: x - 3 = 0 \\ \\ x = - 12, \: \: x = 3 \\ \\ [/tex]

Mrs. Johnson's baby weighed exactly 8 lbs. 3 oz. when he was born. Now, two months later, he weighs exactly 10 lbs. How much weight has he gained since he was born? State your answer in ounces.

Please answer fast!!

Answers

Answer:

The baby gained 29 oz.

Step-by-step explanation:

1 pound is equal to 16 oz (ounces).

10 pounds is equal to 10 x 16 oz = 160 oz.

8 pounds and 3 oz is equal to (8 x 16) + 3 = 128 + 3 = 131 oz.

160 oz - 131 oz = 29 oz.

The baby gained 29 oz.

If this helps please mark as brainliest

if n = 3a - 6 which inequality below will make n a positive number

Answers

Answer:

Step-by-step explanation:

PLEASE ANSWER THISSSSSSSSSSSSS

Answers

Answer:

D. 19.5 Ft.

Step-by-step explanation:

Formula: B · H = A

Substitution: 3.25 · 2 = 6.5

6.5 · 3 ( 3 Windows ) = 19.5 Ft.

No le quites puntos gratis a las personas que necesitan ayuda, gracias, Me hiciste eso a mi y a algunas atras personas y no es muy amable...


A tv costs £1300. Work out the price after a 4.2% price increase.

Answers

Answer:

HII

1

Step-by-step explanation:

The tv would cost £1354.60

Josephine has a glass pitcher in the shape of a rectangular prism. The pitcher dimensions are 5 inches long, 5 inches wide and 7 inches high. She fills 3 inches of the pitcher with sugar. How many cubic inches are left in her pitcher for lemonade?​

Answers

Answer:

100 cubic inches

Step-by-step explanation:

If she fills 3 inches of the pitcher with sugar, the height will be reduced from 7 inches to 4.

Find how many cubic inches are left for lemonade by finding the volume

Use the volume formula, V = lwh

V = lwh

V = (5)(5)(4)

V = 100

So, there are 100 cubic inches left for lemonade

Find the sine of ZI. J 21 D I Write your answer in simplified, rationalized form. Do not round.​

Answers

What is ZI? Can you specify? thanks

what is the surface area of a rectangular prism if the length is 14.5 square inches, the width is 11 square inches, and the height is 2 square inches?

PLEASE HELP ITS DUE TODAY

Answers

is it asking for total or lateral surface area

Drag the movable points to the correct position on the number line.

Answers

Drag 0.8 where it says 0.8. Drag the 0.62 in the middle of 0.6 and 0.7. Drag 0.27 in the middle of 0.2 and 0.3, but closer to 0.3. Drag 0.52 a little higher than 0.5. Drag 0.052 in the middle of 0 and 0.1.

what is the area of the trapezoid ​

Answers

Answer:

A=2132

Step-by-step explanation:

Solution

A=a+b/ 2h=44+8/ 2·82=2132

Answer pls I dont know maths

Answers

Answer:

well learn math

Step-by-step explanation:

did you know that everyday is someone's birthday? if you don't

then Three piggies in the city.

If y represents a student's age, which inequality shows that you must be older than 14 to
try out for the basketball team?
A y < 14
B. y > 14
c.y > 14
D. 14 = y

Answers

C trust dude it’s c trust me trust me

7. Solve for x:
8. Find m

Answers

Answer:

From Triangles...

The sum of two opposite interior angles = the exterior

so

3x-2 + 9x + 7 = 14x - 19

12x +5=14x -19

Collecting Like terms

2x= 24

x= 12°.

For "m"

Sum of angles in a triangle=180°

So

180 - (19x-3+9x-2) = m

180 -(28x -5) =m

m= 180 - 28x + 5

m=185 - 28x.

Now

Since sum of everything in a triangle = 180

185 - 28x + 9x -2 + 19x - 3 = 180

185 -28x + 28x -5= 180

185-5=180

180=180

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