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xeze [42]
3 years ago
14

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?
Mathematics
1 answer:
Alja [10]3 years ago
4 0

Answer:

The numbers of measure of music played are 1 and 7

Step-by-step explanation:

Given

s = 10|x - 4| + 50

Required

Solve for x when s = 80

Substitute 80 for x

80 = 10|x - 4| + 50

Subtract 50 from both sides

80 - 50= 10|x - 4| + 50 - 50

30= 10|x - 4|

Divide through by 10

\frac{30}{10}= \frac{10|x - 4| }{10}

3= |x - 4|

Reorder

|x - 4| = 3

This can be split into

x - 4 = 3 or x - 4 = -3

Solve for x

x = 4 + 3 or x = 4 - 3

x = 7 or x = 1

Hence:

<em>The numbers of measure of music played are 1 and 7</em>

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Answer:

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Step-by-step explanation:

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1/3 pi r ^2 * h = 72 pi

1/3 r^2 h = 72

You can theoretically find infinite answers to this and get enough points for the semester where you don't have to do work anymore. I will list a couple more possible answers below

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5 0
3 years ago
Noa hopes to pick the winning ticket during her math class’s raffle. the student who picks the ticket with a true statement will
Natali5045456 [20]

Answer: The winning ticket is 2(x-6)=-35 is equivalent to 2x=-23.



Step-by-step explanation:

Let's check all the options

4(x-5)=35 is not equivalent to 4x=40

\text{since }4(x-5)=35\\\Rightarrow4x-20=35\\\Rightarrow4x=35+20\\\Rightarrow4x=55

8(x-7)=35 is not equivalent to 8x=28


\text{since }8(x-7)=35\\\Rightarrow8x-56=35\\\Rightarrow8x=35+56\\\Rightarrow8x=91

2(x-6)=-35 is equivalent to 2x=-23


\text{since }2(x-6)=-35\\\Rightarrow2x-12=-35\\\Rightarrow2x=-35+12\\\Rightarrow2x=-23

9(x-6)=-35 is not equivalent to 9x=-29

\text{since }9(x-5)=-35\\\Rightarrow9x--40=-35\\\Rightarrow9x=-35+40\\\Rightarrow9x=5

Thus, the winning ticket is 2(x-6)=-35 is equivalent to 2x=-23.

4 0
2 years ago
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If f(x)=-x^3, g(x)=3x^2= 3x^2-1 and h(x)=2x+5 what is the degree of (fogoh) (x)
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Answer:

Step-by-step explanation:

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2 years ago
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Answer:

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Step-by-step explanation:

700700700 divided by 100100100 equals 7. 7 times 111 equals 777.

3 0
3 years ago
Is my answer correct? please help, i need an answer before 11 pm!!
Pani-rosa [81]

Answer:

[-4, 3)

Step-by-step explanation:

We're talking about domain, which would be the least and greatest possible value x could be. In this graph, x is, at the least, -4. So we would use the bracket and write -4. The highest value x could be is 3, but if you look closely, the point is has an open circle, meaning we would use a parentheses for this side.

So, the answer is [-4, 3).

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3 years ago
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