The Los Angeles area experiences many earthquakes. In 1994, the Northridge earthquake measured 6.7 on the Richter scale. In 2014, Los Angeles experienced an earthquake that measured 5.1 on the Richter scale. Compare the intensities of the two earthquakes. Use a logarithmic model to solve. Round to the nearest whole number.

Step-by-step explanation:

= Magnitude of 1994 earthquake = 6.7

= Magnitude of 2014 earthquake = 5.1

= Intensity of 1994 earthquake

= Intensity of 2014 earthquake

= Zero-level earthquake the same distance from the epicenter = 0.001 mm

Magnitude is given by

Dividing the above intensities with each other we get

The intensity of the earthquake in 1994 was 40 times stronger than the earthquake in 2014.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.