The 1989 World Series San Francisco quake was initially reported to have magnitude 7.0, but later this was revised to 7.1. How much energy released corresponds to this increase in magnitude? (Round your answer to two decimal places.)

A bacteria culture had a population of 10 million at 10:00 A.M., and by 2:00 P.M. had grown to 14 million.

(a) Predict the population at 6:00 P.M. that same day. (Round your answer to one decimal place.)
(b) When will the population double in size? (Round your answer to the nearest minute.)

10^.1?

To determine how much energy released corresponds to the increase in magnitude from 7.0 to 7.1, you can use the Moment Magnitude Scale (Mw). The Moment Magnitude Scale is a logarithmic scale that measures the total energy released by an earthquake.

The formula to calculate the energy released is:

log(E1/E2) = 1.5 * (M2 - M1) + 4.8

Where:
E1 and E2 are the energies released for magnitudes M1 and M2, respectively.

Let's calculate the energy released:

log(E1/E2) = 1.5 * (7.1 - 7.0) + 4.8
log(E1/E2) = 1.5 * 0.1 + 4.8
log(E1/E2) = 0.15 + 4.8
log(E1/E2) = 4.95

Since log(E1/E2) = 4.95, we can solve for E by taking the anti-log (10^x) of both sides:

10^(log(E1/E2)) = 10^4.95
E1/E2 = 10^4.95

To find the value of E1, we need to know the value of E2. Since the question only provides the revised magnitude of 7.1, we can assume that the original magnitude was 7.0.

Therefore:

E1/E2 = 10^4.95
E1/1 = 10^4.95
E1 = 10^4.95

Calculating this using a calculator or software, we find that E1 is approximately 11220.19.

Therefore, the increase in magnitude from 7.0 to 7.1 corresponds to the release of approximately 11220.19 units of energy.