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2 years ago

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:

Exponential function is:

y = abˣ

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

675647 = 617594*b¹⁰

Find the value of b:

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

The equation we got is:

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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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.

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3 years ago

Read 2 more answers

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

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3 years ago

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3 years ago

Which is equal to the product of HJ?

jok3333 [9.3K]

H = 1st row 4 -2 5
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J = 1st column 7 3 8

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3 years ago

Please do number 3___________________

Alexandra [31]

9514 1404 393

Answer:

m∠SVW = 80°

Step-by-step explanation:

3. The sum of same-side interior angles SVW (4x°) and VWT (5x°) is 180°. This can be used to solve for x and to find the angle values.

4x + 5x = 180

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