"on the richter scale, the magnitude r of an earthquake can be measured by the intensity formula
r=log(i/io)
where i is the intensity of the shock wave. compare the intensity of an earthquake measuring 4.5 with the intensity of an earthquake measuring 3.0 on the richter scale. round your answer to the nearest whole number."
a) the earth quake measuring 4.5 on the richter scale is about 1.8 times more intense than an earthquake measuring 3.
b) the earth quake measuring 4.5 on the richter scale is about 32 times more intense than an earthquake measuring 3.
c) the earth quake measuring 4.5 on the richter scale is about 9 times more intense than an earthquake measuring 3.
the earth quake measuring 4.5 on the richter scale is about 63 times more intense than an earthquake measuring 3.

  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.

nada

step-by-step explanation:

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: