Solve the problem.
-Use the formula $R = \log \left( \frac { \mathrm { a } } { \mathrm { T } } \right) + \mathrm { B }$ to find the intensity $\mathrm { R }$ on the Richter scale, given that amplitude a is 444 micrometers, time T between waves is 3 seconds, and B is 3 . Round answer to one decimal place.
A) $2.2$
B) 8
C) $8.5$
D) $5.2$

Question

Quizplus · Accepted Answer

Using the given formula $R = \log \left( \frac { a } { T } \right) + B$, we substitute $a = 444$, $T = 3$, and $B = 3$. This gives us $R = \log \left( \frac { 444 } { 3 } \right) + 3$. Calculating the fraction gives $148$, and taking the logarithm (assuming base 10) of $148$ plus $3$ gives approximately $5.2$.

Solve the Problem R=log⁡(aT)+BR = \log \left( \frac { \mathrm { a } } { \mathrm { T } } \right) + \mathrm { B }R=log(Ta​)+B

Solve the Problem $R = \log \left( \frac { \mathrm { a } } { \mathrm { T } } \right) + \mathrm { B }$