During a musical an orchestra is playing. As the music plays, the volume changes in the beginning of the piece can be modeled by the equation s = 10│x - 4│+ 50 where s represents the sound level in decibels and x represents the number of measures of music played. Explain in words each step to find the following question:



At what number(s) measures played would the sound level be at 80 decibels?

Answers

Answer 1

Answer:

The numbers of measure of music played are 1 and 7

Step-by-step explanation:

Given

[tex]s = 10|x - 4| + 50[/tex]

Required

Solve for x when s = 80

Substitute 80 for x

[tex]80 = 10|x - 4| + 50[/tex]

Subtract 50 from both sides

[tex]80 - 50= 10|x - 4| + 50 - 50[/tex]

[tex]30= 10|x - 4|[/tex]

Divide through by 10

[tex]\frac{30}{10}= \frac{10|x - 4| }{10}[/tex]

[tex]3= |x - 4|[/tex]

Reorder

[tex]|x - 4| = 3[/tex]

This can be split into

[tex]x - 4 = 3[/tex] or [tex]x - 4 = -3[/tex]

Solve for x

[tex]x = 4 + 3[/tex] or [tex]x = 4 - 3[/tex]

[tex]x = 7[/tex] or [tex]x = 1[/tex]

Hence:

The numbers of measure of music played are 1 and 7


Related Questions

please help me out thank you so much :)
7+7

Answers

7+7=14

Hope this helps!! <3

Answer:

14

Step-by-step explanation:

7+7

Calculate.

7+7 = 14

George is 2 in. taller than the quotient of Myron’s height and 3. Let m represent Myron’s height, in inches. Write an expression that represents George’s height, in inches.

Answers

Answer:

The expression is (m/3 + 2) inches

Step-by-step explanation:

Quotient simply is the result of division.

Thus, the quotient we are dealing with is m/3

So, since George’s height is 2 in taller than this quotient, we have his height as;

(m/3 + 2) inches

Which of the following equations will produce the graph shown below?

Answers

Answer:

B :)

Step-by-step explanation:

Apex

Daniel is currently 26 years older than his son. In sic years he will be tree times older than his son. How old are both of them now.

Answers

well, 26+6 is 32, so divide that by 3 and you'd get 10.67, making daniel 32 by that time and his son being 10 years old

its simple math really, also, i hope this helps you ^-^

A=8x+78 B=2x+114 solve for x and then find the measure of B

Answers

Answer:

x= (A/8 - 39/4)

B= (A/4 + 189/2)

Step-by-step explanation:

You simplify 2(A/8 - 39/4) +144

Answer:

126

Step-by-step explanation:

Dale is on the Internet 12 hours a day. He spends 75% of that time sending messages. He spends the rest of the time playing games. How many hours does Dale play games on the Internet each day?

Answers

Dale spends 12 hours on the internet, 75% on messages and 25% on games.

To make this easier, we can just convert the percentages into fractions and then continue.

To turn a percentage into a fraction, take the percentage number and put it into the numeriator, and add 100 to the denominator.

75% = 75/100  

25% = 25/100

Simplify!

75% = 75/100 = 3/4

25% = 25/100 = 1/4

So, now we know how to convert the percentages into a fraction. Now! We must use the fractions to find out how to find the time he uses to play games.

We know now that he spends 1/4 of his time working on games, and 3/4 of his 12 hours working on messages. However, we want to know how much 1/4 is. Divide 12 by the denominator, 4, and this will determine how long 1/4 is.

12 / 4 = 3  

So, that means that of his 12 hours he spends on the internet, he spends 3 hours doing games.

Now, subtract the time he spends doing the games by the time he spends on the internet to find the time on he spends messaging.

12 - 3 = 9

Which means that:

9 = Hours Spent Doing Messaging

3 = Hours Spent Playing Games

A cruise ship travels east across a river at 19.0 meters per minute. If the river is 4,250 meters wide, how long does it take for the ship to reach the other side?

Answers

Answer:

pass the code

Step-by-step explanation:

12. Given y-3 = (x + 1), convert it to standard form.​

Answers


-y + (x + 1) = -3 would be the answer in standard form.

Answer:

x - y = -4

Step-by-step explanation:

Standard Form: Ax + By = C

A is non-negative

Step 1: Define equation

y - 3 = (x + 1)

Step 2: Solve to Standard Form

Add 3 to both sides: y = x + 4Subtract x on both sides: y - x = 4Factor out negative: -(x - y) = 4Divide by -1 on both sides: x - y = -4

12
11
84
12
84
Scale Factor=
x =

Answers

X= 7:1 ! Your welcome !

can someone help i wil mark branliest to anyone who gets this right

show workings out too

decrease £56 by 14%

decrease £262 by 39%

Answers

Answer:

56 deceased by 14% is 48.16

262 decreased by 39% is 159.82

Slope-Intercept form!!

Answers

Answer:

B

Step-by-step explanation:

Solution,

here,

slope(m)=-5

passing point;(-1 , -8)=(x1 , y1)

Using the formula:y-y1=m(x-x1)

or,y-(-8)= -5[x-(-1)]

or,y+8=-5x-5

.°.y= -5x-13

11. If L || m, find the value of x.
L = 8x+20
M= 11x-31

Answers

8x+20=11x-31 so subtract 8 from 11 and add 31 to 20. This gets you to 3x=51, or x=17

If L || M. Then the value of the variable 'x' will be 17.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees.

The side of the rectangle is L and M. If L || M.

L = 8x + 20

M = 11x - 31

Then the value of 'x' is given as,

M = L

11x - 31 = 8x + 20

11x - 8x = 20 + 31

3x = 51

x = 17

If L || M. Then the value of the variable 'x' will be 17.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

The side of the rectangle is L and M. If L || M.

L = 8x+20

M= 11x-31

sixteen men working 9 hrs a day can complete a pice of work in 14 days .How many more men working 7 hrs a day would complete the same job in 12 days ?​

Answers

Answer:

8 more men are needed to complete the job

Step-by-step explanation:

Proportions

This problem can be solved by step-by-step reasoning applying proportions:

16 men working 9 hrs a day complete the job in 14 days16 men working 1 hr a day complete the job in 14*9 days

The above statement stands because the fewer hours of work, the more time the job needs to be completed. Let's continue.

1 man working 1 hr a day complete the job in 14*9*16 days

The same reasoning applies here, fewer men=more days.

Now for the second condition. Increase the hours/day:

1 man working 7 hrs a day complete the job in 14*9*16/7 days

More hours/day=less days to complete the job

x men working 7 hrs a day complete the job in 14*9*16/(7*x) days

We know this last time is 12 days, thus:

[tex]\displaystyle 12=\frac{14*9*16}{7*x}[/tex]

Solving for x:

[tex]\displaystyle x=\frac{14*9*16}{7*12}=\frac{2016}{84}=24[/tex]

24 men are needed now, this is an increase of 24-16=8 more men

8 more men are needed to complete the job

Fiona was thinking of a number. Fiona adds 18 to it, then doubles it and gets an answer of 40.1. What was the original number?

Answers

Answer:

2.05,i need 20 characters so here lol

Yomaro is buying soil for his garden. He needs to fill one pot with 12 cups of soil and another pot with 2 gallons of soil. If the price of soil is
$1.50 per quart, how much will he pay in all?

Answers

Answer:

$16.5

Step-by-step explanation:

12 cups= 3 quarts 2 gallons= 8 quarts

3+8=11 quarts 11x$1.5=$16.5

ANSWER ONE AND TWO ILL GIVE YOU BRAINLIST!!!

Answers

Step-by-step explanation:

1.

Radius of of the table cloth = diameter/2 = 30/2 = 15 inches

Area of the table cloth

[tex] A = \pi r^2 \\\\

= \pi (30)^2 \\\\

= \pi\times 900\\\\

= 900\pi [/tex]

Area of the table cloth [tex] = 900\pi\: inches^2 [/tex]

2.

Radius of circular garden = 3 m

Area of circular garden

[tex] A = \pi r^2 \\\\

= \pi (3)^2 \\\\

=\pi\times 9\\\\

=9\pi [/tex]

Area of circular garden [tex] =9\pi\: m^2 [/tex]

Evaluate 2r + 1 if r=-3

Answers

-5
....................

The French Revolution influenced and inspired the idea of loyal to a country instead of a ruler in Latin America.
A) True
B) False

Answers

Answer:

the answer is true

that's all i got hope it helped

Solve each for the missing variable
1. 9x + 15 = 96

Answers

Answer:

81

Step-by-step explanation:

my friend theres nothing on the world that will say that 96 - 15 = 9x

because 96-15= 81 and 81 + 15 equals 96

5(4+r)=1/2(40+10r)????????????????

Answers

Answer:

All real numbers are solutions.

Step-by-step explanation:

what is the answer to 5x2 + 7x2 + 5

Answers

The answer is: 29

because you multiply 5x2 and get 10 and than multiply 7x2 and you get 14 and than add 10 and 14 and you get 24 but u have to add five so 24 + 5 is 29.

Identify the like terms:
3t2 - 2t2 + 6 +12

Answers

Answer:

3t2 and -2t2. and 6 and 12

When an angle is reflected across a line, what happens to its measure?

A It remains the same

B It doubles

C It halves

D Not enough information

Answers

D) Not enough information

-13 <-x+5<8 is -21 True or false?

Answers

It is very very true


The side of a square is 15 millimeters. What is the perimeter?

Answers

Answer:

60 millimeters

Step-by-step explanation:

15(4)= 60

Answer:

15+15+15+15=60

Step-by-step explanation:

another way and it's quicker is 15*4

what realization did you have with this lesson

Answers

Answer:

no question..............

What is the lesson?....

Find the value of x in this equation
3/4 (6x + 1) -3x = 1/4 (2x - 1)
x =
(I answered with -1 originally and it wasn’t correct which is why im confused)

Answers

Answer:

It is -1

Step-by-step explanation:

Choose the answer that shows 5–15 rewritten using a positive exponent.
A. –515
B. –155
C. 1155
D. 1515

Answers

Answer:

D

Step-by-step explanation:

The number expression 5⁻¹⁵ rewritten using a positive exponent as -5¹⁵ option (A) -5¹⁵ is correct.

What is an integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

The number expression is:

= 5⁻¹⁵

By the property of the integer exponent we can write the above number exponent as follows:

= (5¹⁵)(-1)¹⁵

(-1)¹⁵ = -1   (because 15 is the odd number)

= -5¹⁵

Thus, the number expression 5⁻¹⁵ rewritten using a positive exponent as -5¹⁵ option (A) -5¹⁵ is correct.

Learn more about the integer exponent here:

brainly.com/question/4533599

#SPJ5

HELP PLEASE DUE SOON
Simplify the expression 256b − b by combining like terms.
257b2
255b2
256b2
255b

Answers

Answer:

[tex]\huge{\boxed{\sf { 255 b}}}[/tex]

Step-by-step explanation:

[tex]256 b - b[/tex]

Like terms are those which have the same base. Like terms can be added or subtracted . Only coefficients of like terms can be added or subtracted.

⇒[tex](256 - 1 )b[/tex]

⇒[tex]255 b[/tex]

Hope I helped!

Best wishes!

~[tex]\text{ TheAnimeGirl}[/tex]

please help me with this question ​

Answers

Step-by-step explanation:

You can solve this with kinematics or with energy.

Using kinematics, given:

v₀ = 600 m/s

v = 200 m/s

Δx = 0.05 m

Find: a

v² = v₀² + 2aΔx

(200 m/s)² = (600 m/s)² + 2a (0.05 m)

a = -3,200,000 m/s²

Given:

v₀ = 600 m/s

v = 0 m/s

a = -3,200,000 m/s²

Find: Δx

v² = v₀² + 2aΔx

(0 m/s)² = (600 m/s)² + 2(-3,200,000 m/s²) Δx

Δx = 0.05625 m

So the bullet needs to travel an additional 0.00625 m, or 0.625 cm.

Using energy, the work done on the bullet equals the change in kinetic energy.

ΔKE = W

½ mv² − ½ mv₀² = Fd

½ m (200 m/s)² − ½ m (600 m/s)² = F (0.05 m)

(-160,000 m²/s²) m = F (0.05 m)

F/m = -3,200,000 m/s²

½ mv² − ½ mv₀² = Fd

½ v² − ½ v₀² = (F/m) d

½ (0 m/s)² − ½ (600 m/s)² = (-3,200,000 m/s²) d

d = 0.05625 m

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