Answer:
a. 3/4 inches per minute
b. -1 1/8 inches per minute
c. B is fastest; 1 1/8 is more than 3/4
Step-by-step explanation:
A <em>change</em> is a <em>difference</em>. A <em>rate of change</em> is <em>one difference divided by another</em>, usually the change in y-value divided by the change in x-value.
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<h3>a.</h3>
The change in elevation is the difference between the elevation at the end of the period (6 inches) and the elevation at the beginning of the period (3 inches). The change in time period is the difference between the end time (8 min) and the beginning time (4 min).
change in elevation per minute = (6 -3 inches)/(8 -4 min)
= (3 inches)/(4 min) = 3/4 inches/minute
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<h3>b.</h3>
Similarly, ...
change in elevation per minute = (3 -7 1/2 inches)/(18 -14 min)
= (-4 1/2 inches)/(4 min) = -1 1/8 inches/minute
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<h3>c.</h3>
We know that 3/4 is more than -1 1/8, but when we talk about the "fastest rate of change", we're generally interested in the magnitude--the value without the sign. That means we understand a rate of change of -1 1/8 inches per minute to be "faster" than a rate of change of 3/4 inches per minute.
The rate of change from Part B is fastest. 1 1/8 inches per minute is more than 3/4 inches per minute.
a. First five terms: 9,13,17,21,25
b. Sum of first 25 terms = 1425
c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.
Further explanation:
Given
Formula of sequence
<u>1. First 5 terms:</u>
For first 5 terms, we have to put n=1,2,...5,
So,
<u>2. Sum of first 25 terms:</u>
For that we have to find 25th term first
The formula for sum is:
<u>3. Type of sequence</u>
The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.
i.e.
Keywords: Arithmetic sequence, Sum of arithmetic sequence
Learn more about arithmetic sequence at:
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Answer: The answer would be 15
Step-by-step explanation:
Hope this helps.
Answer:
D. 1800
Step-by-step explanation:
An overestimate is pretty self-explanatory, an amount bigger than what it's supposed to be.
Multiplying 22 * 68
1496
Rounding it will give you 1500, but the overestimate would be 1800. Because its a respected amount that is close to the answer of 22 * 68.
No info was given, plz post a pic of the equation