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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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Snowcat [4.5K]

Answer:

The measures of the two angles are 34° and 56°

Step-by-step explanation:

* Lets explain how to solve the problem

- The complementary angles are the angles whose the sum

  of their measures is 90°

- The measure of one angle is six more than half the measure

 of another angle

- Let the measure of the second angle angle is x

∵ The measure of the 2nd angle is x

∵ The measure of the first angle is 6 more than the half of the

  measure of the second angle

∴ The 1st angle is 6 + 1/2 x

∵ The two angles are complementary

∴ The sum of their measures is 90°

∴ x + (6 + 1/2 x) = 90

∴ (x + 1/2 x) + 6 = 90

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- Subtract 6 from both sides

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- Multiply both sides by

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- Divide both sides by 3

∴ x = 56

∵ x is the measure of the 2nd angle

∴ The measure of the 2nd angle is 56°

∵ The measure of the 1st angle = 6 + 1/2 x

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3 years ago
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Answer:

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Step-by-step explanation:

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(a) Rename h(x) as y  

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(d) Switch x and y  

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In the diagram, the graph of h⁻¹(x) is the reflection of h(x) about the line y = x.

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