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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:

Part A

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Part B

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Part C

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Step-by-step explanation:

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3 0
3 years ago
What are the terms in the expression 2x−4y+8 ?
rodikova [14]

Answer:

<u>The correct answer is D. 2x, -4y, and 8.</u>

Step-by-step explanation:

The concept of the terms of an equation is used for the monomials of each member participating in the equation. In Mathematics we distinguish between two types of terms:  

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4 0
3 years ago
Find the volume of a right circular cone that has a height of 14.3 ft and a base with a diameter of 17.2 ft. Round your answer t
katrin [286]

Answer:

the real answer is 1107.5 ft  

3

Step-by-step explanation:

Volume of Cone:

V=\frac{1}{3}\pi r^2h

V=  

3

1

​  

πr  

2

h

\text{Find radius:}

Find radius:

r=\frac{\text{diameter}}{2}=\frac{17.2}{2}=8.6

r=  

2

diameter

​  

=  

2

17.2

​  

=8.6

h=14.3\hspace{40px}r=8.6

h=14.3r=8.6

Needed information

V=

V=

\,\,\frac{1}{3}\pi r^2h

3

1

​  

πr  

2

h

V=

V=

\,\,\frac{1}{3}\pi (8.6)^2(14.3)

3

1

​  

π(8.6)  

2

(14.3)

Plug in

V=

V=

\,\,1107.54545168

1107.54545168

Evaluate in calculator

V\approx

V≈

\,\,1107.5\text{ ft}^3

1107.5 ft  

3

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ZanzabumX [31]
The perfect square is 49 and she did not add 6
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4 years ago
What is the algebra answer to [] 4 + 1 [] = 39
Evgen [1.6K]
8 times 4 + 1 times 7 = 39

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