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bagirrra123 [75]
3 years ago
6

The sequence an = one third (3)n - 1 is graphed below: coordinate plane showing the points 2, 1; 3, 3; and 4, 9 Find the average

rate of change between n = 3 and n = 4. (6 points) negative one sixth one sixth −6 6
Mathematics
2 answers:
charle [14.2K]3 years ago
7 0

9514 1404 393

Answer:

  6

Step-by-step explanation:

The slope of the line between (3, 3) and (4, 9) is given by the slope formula:

  m = <average rate of change> = (y2 -y1)/(x2 -x1)

  m = (9 -3)/(4 -3) = 6/1

  m = 6

The average rate of change on the interval [3, 4] is 6.

Alborosie3 years ago
4 0

Answer:

the answer is 6

Step-by-step explanation:

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Illusion [34]

Answer:

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Katina has 300, 20 more than the previous month.

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5 0
3 years ago
The surface area of a cube is increasing at a rate of 15 square meters per hour. At a certain instant, the surface area is 24 sq
algol13

Answer:

The volume of cube is increasing at a rate 7.5 cubic meter per hour.  

Step-by-step explanation:

We are given the following in the question:

Surface area of cube = 24 square meters.

Let l be the edge of cube.

Surface area of cube =

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Thus, at that instant the edge of cube is 2 meters.

\dfrac{dS}{dt} = 15\text{ square meters per hour}\\\\\dfrac{d(6l^2)}{dt} = 15\\\\12l\dfrac{dl}{dt} = 15\\\\\dfrac{dl}{dt} = \dfrac{15}{12\times 2} = \dfrac{15}{24}

We have to find the rate of change in volume.

Volume of cube =

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Rate of change of volume =

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4 0
3 years ago
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Keith_Richards [23]
First combine like terms

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Answer:

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The length of the race is 5 kilometers.
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