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Mnenie [13.5K]
3 years ago
10

"On the Richter scale, the magnitude R of an earthquake can be measured by the intensity formula

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
8 0

Answer:

  B)  The earthquake measuring 4.5 on the Richter scale is about 32 times more intense than an earthquake measuring 3.

Step-by-step explanation:

Let Ra = log(Ia/Io), and Rb = log(Ib/Io). Then for ...

  Ra - Rb = 4.5 -3.0 = 1.5

  log(Ia/Io) -log(Ib/Io) = 1.5 . . . . . . . . . . . substitute the given expressions

  (log(Ia) -log(Io)) -(log(Ib) -log(Io)) = 1.5 . . . expand the logs

  log(Ia) -log(Ib) = 1.5 . . . . simplify

  log(Ia/Ib) = 1.5 . . . . . . . . write as a single log

  Ia/Ib = 10^1.5 ≈ 32 . . . . take the antilog

The ratio of intensities is about 32, corresponding to choice B.

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Answer:

a = 26°

b = 48°

c = 26°

d = 106°

Step-by-step explanation:

c +  {154}^{o}  =  {180}^{o}  \\ c =  {180}^{o}  -  {154}^{o}  \\ c =  {26}^{o}

a = c (Alternate angles)

a =  {26}^{o}

b =  {48}^{o}

Corresponding angles

(a + d) + b = 180° (Interior angles)

{26}^{o}  + d +  {48}^{o}  =  {180}^{o}  \\ d +  {74}^{o}  =  {180}^{o}  \\ d =  {180}^{o}  -  {74}^{o}  \\ d =  {106}^{o}

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Step-by-step explanation:

6 0
2 years ago
44. Melissa helps her grandfather at his store. Each mornin
Goryan [66]

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Step 2. Write a sentence that gives the information to find it.

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Step 4. Solve the equation using good algebra techniques.

Step 5. Check the answer in the problem and make sure it makes sense.

Step 6. Write a complete sentence that answers the question.

Remember that whatever the application, once we write the sentence with the given information (Step 2), we can translate it to a percent equation and then solve it.

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2 years ago
Simplify -4(x-5) +3(a-7)
PilotLPTM [1.2K]

Answer:

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6 0
3 years ago
An electronics company has developed a new hand held device. The company predicts that the start up cost to manufacture the new
alex41 [277]
Profit = revenue - expenses

expenses : 125,000 + 6.50x
revenue : 9x
so to make a profit, ur revenue (income) has to be higher then ur expenses

revenue > expenses
A. ) 9x > 125,000 + 6.50x
9x - 6.50x > 125,000
2.5x > 125,000
x > 125,000 / 2.5
x > 50,000......so they would have to sell at least 50,001 devices to make a profit <==

B.) the cost of making 1 device is 10% more then the company predicted....10% more then 6.50.....6.50(1.10) = 7.15.....this is the new cost of making 1 device <==

9x > 125,000 + 7.15x ....this is the inequality with the 10% more added
9x - 7.15x > 125,000
1.85x > 125,000
x > 125,000 / 1.85
x > 67,567.5......so to make a profit, they would have to sell at least 67,568 devices to make a profit <==


7 0
3 years ago
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