Answer: D. p(d) = 3(10000)p
Step-by-step explanation:
Answer:
The answer to your question is 2184
Step-by-step explanation:
Data
Equation P(x) = 0.68x² - 0.048x + 1
x = years
population = 33984
Process
1.- Substitute the population in the equation
33984 = 0.84x² - 0.048x + 1
2.- Equal to zero
0.84x² - 0.048x + 1 - 33984 = 0
3.- Simplify
0.84x² - 0.048x - 33983 = 0
4.- Solve for x
![x = \frac{0.048 +- \sqrt{(0.048^{2}) - (4)(0.84)(-33982)}}{2(0.84)}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B0.048%20%2B-%20%5Csqrt%7B%280.048%5E%7B2%7D%29%20-%20%284%29%280.84%29%28-33982%29%7D%7D%7B2%280.84%29%7D)
![x = \frac{0.048 +- \sqrt{337.9}}{1.68}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B0.048%20%2B-%20%5Csqrt%7B337.9%7D%7D%7B1.68%7D)
x1 = 201.2
x2 = -201.2
Only x1 is correct because time can not be negative
5.- Calculate the year
Year = 1997 + 201
Year = 2184
B. Yes, because all of the pairs represent the same ratio
Answer:
Step-by-step explanation:
From the given right angle triangle,
The unknown side represents the hypotenuse of the right angle triangle.
With m∠x as the reference angle,
the adjacent side of the right angle triangle is 7.8
the opposite side of the right angle triangle is 8
To determine m∠x, we would apply
the Tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan x = 8/7.8 = 1.026
x = Tan^-1(1.026)
x = 45.7° to the nearest tenth
1.TR is the two equations combined so 18x+26