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Margaret [11]
4 years ago
6

Based on the graph, what was the average speed, in miles per minute, of the train during the interval of 30 to 40 minutes?

Mathematics
1 answer:
Olegator [25]4 years ago
7 0

Answer: 35 miles

Step-by-step explanation:

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Answer:

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Elodia [21]

Answer:

D: The slope is 3

Step-by-step explanation:

To figure out the slope, which is always a constant, you simply figure out the average displacement using the points we already know. This is described by the equation y2-y1/x2-x1. Let's use the ordered pairs (-3, 2) and (-1, 8) to figure this out.

8-2/-1-(-3) = 6/2 = 3

Another method you could use is to graph the points and figure out how many units y has to go up for every x over, or the "rise over run"

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28. sylvia researched changes in the deer population in her state's parks during her lifetime
kifflom [539]

Using an exponential function, it is found that it will take 24 years for the current population of 4800 deer to reduce to 600.

<h3>What is an exponential function?</h3>

An exponential function is modeled by:

y = ab^x

In which:

  • a is the initial value.
  • b is the rate of change, as a decimal.

In this problem, considering the initial value of 4800, and that the population halves every 8 years, the equation is given by:

A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}

The population will be of 600 when A(t) = 600, hence:

A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}

600 = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}

\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{600}{4800}

\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{1}{8}

\left(\frac{1}{2}\right)^{\frac{t}{8}} = \left(\frac{1}{2}\right)^3

Hence:

t/8 = 3.

t = 24.

It will take 24 years for the current population of 4800 deer to reduce to 600.

More can be learned about exponential functions at brainly.com/question/25537936

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Its when you range the numbers greatest to least like for example 27,21,116,13,9
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