For every increase of 1 on the Richter scale, an earthquake is 10 times more powerful. Which of the following models this situation? answer-exponential growth function
b- linear function with a positive rate of change
c-exponential decay function
d-exponential growth function
The model that best describes this situation is an exponentialgrowthfunction.
The correct answer is option D.
A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Exponential growth function
The given situation describes how the power of an earthquake increases exponentially with an increase in Richter scale magnitude.
Specifically, for every increase of 1 on the Richter scale, the earthquake is described as being 10 times more powerful.
This is characteristic of exponentialgrowth, where a quantity increases by a fixed proportion for each unit increase in another variable.
In this case,
As the Richter scale magnitude increases by 1, the power of the earthquake increases by a factor of 10, which is an exponentialgrowth relationship.
Therefore,
The model that best describes this situation is an exponentialgrowthfunction.
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The inner and outer Radii of a cylindrical pipe are 5 cm and 4 cm respectively. find the area of cross section of the pipe.
Answer:
28.3 cm²
Step-by-step explanation:
You find the area of the whole section which is 5²π = 25π.
Then you find the area of the empty part which is 4²π = 16π.
Then you subtract to get 9π which is 28.27433388......
= 28.3 cm²
Answer: a = 8 b= 50.
Step-by-step explanation:
In linear equation, the two inflection points of f(x) are at x = 1 or x = 4
We are aware that f(x) has a decreasing order if f'(x) 0 and a rising order if f'(x) > 0.
seen in the graph If f(x) is evidently growing on x (2, ) and decreasing on x ( 0,2) Since f(x) is dropping, if 0 x 2 is true, then f'(x) 0.
Since f(x) is rising, f'(x) > 0 if x > 2 is true.
Since f(X) is concave down, if 0 x 1 is true, then f"(x) 0 and vice versa.
Since f(X) is concave up, f"(x) > 0 and is true if 1 x 4
Given that f(X) has a concave downward shape, e) f"(x) 0 if x > 4 is true.
The two inflection points of f(x) are at x = 1 or x = 4.
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Answer:
0 if 0≤x<1; T (d) f″(x)>0 if 14; T
Step-by-step explanation:
2 and the other is x= 2
b.-144
c.-96
d.-7