The Richter scale is used to measure the magnitude of an earthquake. The magnitude, R, is given by the equation R = 0.65log(0.39 €) +1.45, where Eis the
energy (measured in kilowatt-hours) released by the earthquake. Determine the
amount of energy released by an earthquake of magnitude 7.5.
Rewrite the equation for the magnitude of an earthquake, using the
magnitude of 7.5 given in the problem.

10000

step-by-step explanation: divide by 2,

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

the answer to your question is c.)   volcanoes built the mountains and earthquakes tore them down.

step-by-step explanation:

i don't know

step-by-step explanation: