Question

By what approximate factor is the intensity of an earthquake with magnitude 5.4 greater than an earthquake with magnitude 5.3?

M = the magnitude of an earthquake
I = the intensity of an earthquake
I0 = the smallest seismic activity that can be measured

Answer 1

M = log (I/I0)

Answer 2

@MrCoolGuy

Answer 3

@haleyelizabeth2017

Answer 4

@Qwertty123

Answer 5

Will medal and fan

Answer 6

okay so what do you have so far?

Answer 7

1.01
1.21
1.26
10.44

Answer 8

i would say 1.01

Answer 9

due to 5.3 and 5.4 are only .1 apart

Answer 10

am i right? @Qwertty123

Answer 11

Not sure.. @mathstudent55

Answer 12

How does the value of a affect the graph of a monomial function?

Answer 13

As |a| increases, the graph widens; as |a| decreases, the graph narrows.
As |a| increases, the graph narrows; as |a| decreases, the graph widens.
As |a| increases, the graph translates to the right; as |a| decreases, the graph translates to the left.
As |a| increases, the graph translates up; as |a| decreases, the graph translates down.

Answer 14

what about this one?

Answer 15

@Qwertty123

Answer 16

not sure.. @phi

Answer 17

is it
\[ M = \log \left(\frac{I}{I_0}\right)\] ?
if so
\[ 10^M = \frac{I}{I_0} \\ I = I_0 10^M\]

you want the "factor" (call it "a")
\[ I_{5.4} = a I_{5.3} \]
or replacing the I's
\[ I_0 10^{5.4} = a \ I_0 10^{5.3} \]
now solve for "a"

Answer 18

you get
\[ a = \frac{10^{5.4}}{10^{5.3}} \]
you can simplify because (with the same base) we can subtract exponents:
\[ a = 10^{0.1} \]