The Richter scale converts seismographic readings into numbers for measuring the magnitude of an earthquake according to this function M(x) = log
, where x0 = 10-3.Find the magnitude (to one decimal place) of an earthquake whose seismographic reading is 2000 millimeters at a distance of 100 kilometers from its epicenter. Round the answer to the nearest tenth.
A. 5.9
B. 6.3
C. 6.4
D. 7.3
Answer: B
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Find .y = tan-1 (ln 5x)
A.
B.
C.
D.
Find the volume of the described solid.The solid lies between planes perpendicular to the x-axis at and
. The cross sections perpendicular to the x-axis between these planes are squares whose bases run from the parabola
to the parabola
.
A. 900 B. 180 C. 1800 D. 1750
Solve the problem.If a sum of money is deposited in a savings account that is paying x percent annual interest (expressed as a decimal) compounded semiannually, then this sum of money increases by a factor of 2 after one year. For an annual interest rate of 10%, evaluate the polynomial that results by multiplying this expression.
A. 1.0025 B. 1.1025 C. 36 D. 1.0525
Solve the system of equations using substitution. State whether the system is inconsistent, or consistent and dependent.
A. infinitely many solutions; inconsistent B. no solution; consistent and dependent C. no solution; inconsistent D. infinitely many solutions; consistent and dependent