Answer:
The intensity of the 2011 earthquake was about 6 times the intensity of the 2003 earthquake.
Step-by-step explanation:
To compare the intensities, we first need to convert the magnitudes to intensities using the log formula. Then we will set up a ratio to compare the intensities.
Convert the magnitudes to intensities and write them in exponential form.
R=logI
2011 earthquake:
9.1I=logI=109.1
2003 earthquake:
8.3I=logI=108.3
Form a ratio of the intensities.
intensity for 2011intensity for 2003
Substitute in the values and divide by subtracting the exponents to find
109.1108.3100.8≈6.
The intensity of the 2011 earthquake was about 6 times the intensity of the 2003 earthquake.
Your answer:
The intensity of the 2011 earthquake was about 15 times the intensity of the 2003 earthquake.
The answer is 1728
First you must set up the equation
Then, you must multiply the numerator
Next, divide
Finally, simplify exponents
12*12*12=1728
We see, there is a pair of sides that have similar lengths before and after the enlargement.
-> The scale factor = 30 : 18 (or) 35 : 21 = 5/3
Recheck :
18 x 5/3 = 30
18 x 5/3 = 30
21 x 5/3 = 35
Answer:
The percent of increase in the number of students is 10%.
Step-by-step explanation:
The percent increase in the number of students is the absolute increase divided by the number of students last year.
Last year: 520 students
This year: 572 students
Absolute Increase: 572 - 520 = 52 students
Percent increase:
The percent of increase in the number of students is 10%.
