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timama [110]
2 years ago
12

Boston, Massachusetts had a population of 617,594 people during January 1 2010, and 675,647 people on January 1 2020.

Mathematics
1 answer:
tigry1 [53]2 years ago
5 0

Answer:

  • See below

Step-by-step explanation:

<u>Exponential function is:</u>

  • y = abˣ

<u>If we consider the time difference in years as x and the initial population as a, then we get:</u>

  • 675647 = 617594*b¹⁰

<u>Find the value of b:</u>

  • b¹⁰ = 675647/617594
  • b¹⁰ = 1.09399864636
  • b = 1.09399864636^(1/10)
  • b = 1.009 (rounded)

<u>The equation we got is:</u>

  • y = 617594*1.009ˣ

Here we have y- population after x years since 2010, x - the number of years since 2010 and 1.009 is the population growth rate.

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Blaire needs more than 708 total points on assignments in her math class to pass. She only has 236 points and needs to do some e
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Answer: D) x = 8


Step-by-step explanation: In order to get this answer, you need to keep the 236 and add 59 evry time until you get 708.

Another thing is to multiply 59 by 8, which will give you 472. Now we add 472 and 236 and we get 708.

59 x 8 = 472 + 236 = 708.

56 + 56 + 56 + 56 + 56 + 56 + 56 + 56 = 472 + 236 = 708.

Hope this helped!

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6 0
3 years ago
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Let f(x)=−x√3 . What is the average rate of change of f(x) from 8 to 64?
Fed [463]

Average rate of change of the function: -\sqrt{3}

Step-by-step explanation:

The average rate of change of a function f(x) can be calculated as:

r=\frac{f(x_2)-f(x_1)}{x_2-x_1}

where:

x_1, x_2 are the x-values of the interval taken into account to evaluate the rate of change of the function

f(x_1),f(x_2) are the values of the function at those points

In this problem, we have:

x_1=8\\x_2=64

The function is f(x)=-x\sqrt{3}, so

f(x_1)=f(8)=-8\sqrt{3}\\f(x_2)=f(64)=-64\sqrt{3}

So, the average rate of change in this interval is:

r=\frac{-64\sqrt{3}-(-8\sqrt{3})}{64-8}=\frac{-56\sqrt{3}}{56}=-\sqrt{3}

Learn more about rates of change:

brainly.com/question/4152194

brainly.com/question/12941985

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3 years ago
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Which is equal to the product of HJ?
jok3333 [9.3K]
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       2nd row 6  1 -3

J = 1st column 7 3 8

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9514 1404 393

Answer:

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Step-by-step explanation:

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_____

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5. <em>Consecutive interior</em> angles are supplementary. ("Same-side" and "consecutive" are used interchangeably in this context.)

4 0
3 years ago
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