1. The Richter scale is used to measure the magnitude of an earthquake. The magnitude, R, is given by the equation: R=0.65log(0.
39)E +1.45, where E is the energy (measured in kilowatt-hours) released by the earthquake. Determine the amount of energy released by an earthquake of magnitude 7.5.
2. Use synthetic division to find the quotient and the remainder.
(12x^4+5x^3+3x^2-5) ÷ (x+1)
2. Use synthetic division to find the quotient and the remainder.
(12x^4+5x^3+3x^2-5) ÷ (x+1)
1 answer:
Answer:
Step-by-step explanation:
The magnitude, R of an earthquake is given by the equation: R=0.65log(0.39E) +1.45
Where
where E is the energy (measured in kilowatt-hours) released by the earthquake.
1) The amount of energy released by an earthquake of magnitude 7.5 would be
7.5 = 0.65log(0.39E) + 1.45
(7.5 - 1.45)/0.65 = log(0.39E)
9.3077 = log(0.39E)
0.39E = 10^9.3077
E = 10^9.3077/0.39 = 5207573316 kilowatt-hours
b) the attached diagram shows the steps used to find the quotient and the remainder using synthetic division.
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Answer:
m = 1.8
Step-by-step explanation:
Given data is as follows :
x 1 2 3 4 5 6
f 1 4 7 m 6 3
We need to find the value of m if the mean of the data is 3.8.
Mean = sum of observations/no. of observations
So,
So, the value of m is equal to 1.8.