For every increase of 1 on the Richter scale, an earthquake is 10 times more powerful. Which of the following models this situation?
a-linear function with a negative rate of change
b- linear function with a positive rate of change
c-exponential decay function
d-exponential growth function answer-exponential growth function
Answers
The model that best describes this situation is an exponentialgrowthfunction.
The correct answer is option D.
What is a function?
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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Related Questions
A random sample of 36 observations is drawn from a population with a mean equal to 66 and a standard deviation equal to 12. What is the mean and the standard deviation of the sampling distribution of x̄? μ = 66 σ = 2 Describe the shape of the sampling distribution of x̄. Does this answer depend on the sample size? The shape is that of a distribution and depend on the sample size. Calculate the z-score corresponding to a value of x̄ = 63.6. Calculate the z-score corresponding to a value of x̄ = 69.2. Find P(x̄ ≥ 63.6) (to 4 decimals) Find P(x̄ < 69.2) (to 4 decimals) Find P(63.6 ≤ x̄ ≤ 69.2) (to 4 decimals) There is a 60% chance that the value of x̄ is above (to 4 decimals).
Please help me out.................
Rewrite 7 1/8 as an improper fraction.
Ralph jordan recently bought a new lawnmower for 228.00. If he had to pay 6% sales tax on the lawnmower, what wasthe total cost of the lawnmower?A:$251.62B: 234.00C:241.68D:312.42
How many -yard pieces can she cut and still have 1
yards left?
Answers
Answer:
She will be able to cut approximately 2 yards off and still have 1 yard.
Step-by-step explanation:
Because 3-2=1 so there would be 1 yard left.
Answers
Answers
Answer:
Step-by-step explanation:
If a ball bounces to a height of 5feet, the initial drop = 5feet
If the ball rebounds to 70% of its previous height after each bounce, the next height after rebouncing will be expressed as;
= 70% of 5
= 70/100 * 5
= 0.7*5
= 3.5 feet
The next height will be 0.7*3.75 = 2.45 and so on
The heights wil form a sequence as thus;
5, 3.5, 2.45...
This sequence forms a geometric progression.
To get the function that could be used to model the nth term in the sequence of heights of the ball after the initial drop, w will find the nth term of the sequence
a is the first term of the sequence
n is the number of terms
r is the common ratio
From the sequence:
a = 5
Substitute the given values into the formula
The nth tern=m required is
The function that models the nth term in the sequence of heights of the ball after the initial drop is an = 5 * 0.7(n-1)
The sequence of heights of the ball can be modeled using a geometric sequence, since the ball rebounds to 70% of its previous height after each bounce. The formula for a geometric sequence is:
an = a1 × r(n-1)
where an represents the nth term in the sequence, a1 is the initial term (in this case, the height of the first bounce), and r is the common ratio (in this case, 0.7). So, the function that could be used to model the nth term in the sequence of heights of the ball after the initial drop is:
an = 5 × 0.7(n-1)
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| 246, 15.753. 956 ute
956€, 15.758, . 24,5
© 956/, , 15,758, 24,
Answers
Answer:
24π/5, 63/4, 15.758, 956√e
Note: The correct question is found in the attachment below
Step-by-step explanation:
Dividing to get values up to three decimal places
π = 3.142; e = 2.718
24π/5 = 24/5 × 3.142 = 4.8 * 3.142 = 15.0816
63/4 = 15.750
15.750 = 15.750
956 × √e
√e lies between 1.6 and 1.65 because 1.6 × 1.6 = 2.56
1.65 × 1.65 = 2.7225
Using 1.65
956 × 1.65 = 1577.4
Therefore, the correct ordering is 24π/5, 63/4, 15.758, 956√e
Answer:
Letter A is correct!!!
Step-by-step explanation:
got it right on edge
Answers
The area of any triangle is (1/2) x (length of the base) x (height) .
In this problem, we know the triangle's height,
but what is the length of the base ?
The base is the side that the triangle is sitting on. This particular triangle
is an equilateral one, and its perimeter is 60m. So each side must be 20m.
No matter which side the triangle is sitting on, the length of the base is 20m.
Area = (1/2) x (base) x (height)
Area = (1/2) x (20m) x (17.3m) = 173 m²
Answers
2 . x = 86 Divide both sides by 2
X = 43