The equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.
<h3>What is the line of best fit?</h3>
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:

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:
brainly.com/question/14279419
#SPJ1
Answer: The speed of the motorboat is 70 miles per hour
Step-by-step explanation: Subtract the initial distance, 35, from the distance at any given time, then divide the remainder by the hours.
For example, at 2 hours, the distance shown on the graph is 175 miles
Subtract: 175 -35 = 140. Then divide 140/2 = 70
At 4 hours, the distance shown is 315 miles.
Subtract: 315 - 35 = 280. Then divide 280/4 = 70
70 mph is the speed.
Answer:
a = 11.71 ; b = 15.56
Step-by-step explanation:
For this problem, we need two things. The law of sines, and the sum of the interior angles of a triangle.
The law of sines is simply:
sin(A)/a = sin(B)/b = sin(C)/c
And the sum of interior angles of a triangle is 180.
45 + 110 + <C = 180
<C = 25
We can find the sides by simply applying the law of sines.
length b
7/sin(25) = b/sin(110)
b = 7sin(110)/sin(25)
b = 15.56
length a
7/sin(25) = a/sin(45)
a = 7sin(45)/sin(25)
a = 11.71