The equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

Let's suppose the equation that models the exponential decline is:

$\rm y = a(b^x)$

From the data given, we can calculate the value of a and b:

a = 46348587109809610

b = 0.9861

y = 46348587109809610(0.9861)ˣ

Thus, the equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.

Learn more about the line of best fit here:

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6 0

2 years ago

Find the perimeter of the object Help step by step please!

aliina [53]

Answer:

29.42 units

Step-by-step explanation:

1) Find the perimeter around the semi-circle

To do this, we find the circumference of the circle using the given diameter:

$C=\pi d$ where d is the diameter

Plug in 6 as the diameter

$C=\pi (6)\\C=6\pi$

Divide the circumference by 2

$\frac{6\pi }{2} \\= 3\pi$

Therefore, the perimeter around the semi-circle is 3π units.

2) Find the perimeter around the rest of the shape

Although it's impossible to determine the lengths of the varied sides on the right side of the shape, we know that all of those vertical sides facing the right add up to 6. We also know that all of those horizontal sides facing up add up to 7. Please refer to the attached images.

Therefore, we add the following:

7+6+7

= 20

Therefore, the perimeter around that area of the shape is 20 units.

3) Add the perimeter around the semi-circle and the perimeter around the rest of the shape

$20+3\pi \\= 20+9.42\\= 29.42$

Therefore, the perimeter of the shape is approximately 29.42 units.

I hope this helps!

3 0

3 years ago