P = A(1+r)^x
where P is the population at time x
A is the initial population and r is the growth/decay rate. Growth will be +positive r number added to the 1. Where as decay subtracts r. So any answers that are > than 1 which is answers A and B.
Answer:
4+4−8
Step-by-step explanation:
Answer:Deductive approach
Step-by-step explanation:
The deductive approach is described as reasoning from particular to general hence,
-Hypothesis is derived from theory
-Hypothesis is tested or observed
-Conclusion is made based on test
Deduction is a direct opposite of induction whereby observation is made first to derive a pattern to make hypothesis and then conclude on a theory.
Answer:
4.01 cm to the nearest hundredth.
Step-by-step explanation:
Consider the triangle formed by the perpendicular line drawn from one endpoint of the shorter base to the longer base.
cos 37 = x / 5
x = 5 cos 37
x = 3.9932 cm
The shorter base = longer base - 2(3.9932)
= 12 - 7.9864
= 4.0136
Point Slope Form looks like this:
![y-y_{1} = m(x-x_{1})](https://tex.z-dn.net/?f=y-y_%7B1%7D%20%3D%20m%28x-x_%7B1%7D%29)
First, we need to find the m value, or slope. We can do this by using this equation:
![y_{2} - y_{1 }= x_{2} - x_{1}](https://tex.z-dn.net/?f=y_%7B2%7D%20-%20y_%7B1%20%7D%3D%20x_%7B2%7D%20-%20x_%7B1%7D)
4 - 8 / 4 + 4 = -4/8 = -1/2
m = -1/2
Now, select one of the coordinate points, input those values and m, and solve for b.
4 = -1/2(4) + b
4 = -2 + b
Add 2 to both sides.
6 = b
y = -1/2x + 6
Now, input any number for x (I prefer 0, the y-intercept), and solve for y.
y = -1/2(0) + 6
y = 6
(0, 6)
After doing that, you can input that coordinate point into Point-Slope Form.
y - 6 = -1/2(x - 0)