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Enter your simplified answers, as exact values, in the boxes
Answer:
Step-by-step explanation:
Multiplying the coefficient of x by the constant to get:
3 x (-2) = -6
Find factors of -6 that equal the middle term -4.
Since, no such factors can be found so we can solve the equation by completing the square.
To complete the square, divide the equation by the coefficient of x^2 which is 3 to get:
Now divide the coefficient of x by 2 and add the square of the result to both sides of the equation:
,
y = 5x + 6
cause damage that extends several
hundred kilometers.
Math
Mathematically, the rating of an earthquake typically refers to its magnitude on the Richter scale.
The Richter scale is a logarithmic scale that measures the amplitude of seismic waves produced by an earthquake. Each increase of one unit on the Richter scale represents a tenfold increase in the amplitude of the seismic waves and approximately 31.6 times more energy released.
A rating of 7.6 on the Richter scale indicates a significant and powerful earthquake. It is considered a "great" earthquake and can cause widespread damage over an extensive area. The extent of the damage can depend on various factors, including the depth of the earthquake, the distance from populated areas, and the local building infrastructure.
It's important to note that while the magnitude of an earthquake provides a measure of its energy release, it doesn't directly indicate the extent of the damage or the specific geographical area affected. The effects of an earthquake can vary depending on factors such as local geology, distance from the epicenter, and the population density of the area.
Mathematically, the Richter scale provides a standardized way to quantify and compare the magnitude of earthquakes, aiding in the understanding and analysis of seismic events.
To know more about Richter scale. here
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Answer:
39,810,717.06
Step-by-step explanation:
Question:
What is the value of x when the richter scale rating is 7.6? Round your answer to the nearest hundreth.
∫ e^(3x)*(cosh(2x)dx
= ∫ [e^(3x)*(e^(2x)+e^(-2x))/2]dx
= ∫ [(e^(5x)+e^x)/2]dx
=e^(5x)/10+e^x/2+C
=(1/10)(e^(5x)+5e^x)+C