Answer:
![f(5)=8](https://tex.z-dn.net/?f=f%285%29%3D8)
Step-by-step explanation:
Given function: ![f(x)=x^2-3x-2](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2-3x-2)
To find
, simply input
into the function:
![\begin{aligned}\implies f(5) & =5^2-3(5)-2\\& = 25-15-2\\& = 10-2\\& = 8\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cimplies%20f%285%29%20%26%20%3D5%5E2-3%285%29-2%5C%5C%26%20%3D%2025-15-2%5C%5C%26%20%3D%2010-2%5C%5C%26%20%3D%208%5Cend%7Baligned%7D)
The answer is D because microcosm is a community displaying characteristics of something larger.
The amount of the substance (At) at any time t is calculated through the equation,
At = (A0)(e^-kt)
where A0 is the initial amount and k is constant.
For the half-life,
ln (At / A0) = ln 0.5 = -k(5270 years)
The value of k is 1.3153x10^-4 / year.
Substituting this value to the same equation, where At = 0.25A0
ln 0.25 = -(1.3153 x 10^-4)(t)
The value of t from this equation is 10540 years. The closest value to this is letter A.
Answer:
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Solve your equation step-by-step.
Simplify both sides of the equation.
6=4(2n−3)
6=(4)(2n)+(4)(−3)(Distribute)
6=8n+−12
6=8n−12
Flip the equation.
8n−12=6
Add 12 to both sides.
8n−12+12=6+12
8n=18
Divide both sides by 8.
8n/8=18/8
n=9/4