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$\frac{I_{max}}{I_{min}} = \left( \frac{a_1 + a_2}{a_1 - a_2} \right)^2 = 16 \implies \frac{a_1 + a_2}{a_1 - a_2} = 4$.
$a_1 + a_2 = 4a_1 - 4a_2 \implies 5a_2 = 3a_1 \implies \frac{a_1}{a_2} = \frac{5}{3}$.
Intensity ratio $\frac{I_1}{I_2} = \left( \frac{a_1}{a_2} \right)^2 = \frac{25}{9}$.
In the US, the power of Judicial Review was established in:
The 1803 Supreme Court case Marbury v. Madison established the principle of judicial review in the United States.
This sentence has a contrast structure: spacecraft currently face little risk, but the future will be less _____. Whatever fills the blank must describe the current relatively safe state that will diminish in the future.
- Crowded — the future would logically become more crowded, not less. “Less crowded” contradicts the premise.
- Invulnerable — possible in isolation, but not a natural descriptor of an orbital environment as a whole.
- Protected — implies external protective mechanisms, which is not the argument’s focus.
- Benign — means safe and harmless. The current environment is benign (low risk), and the future will be less benign (more dangerous). This fits perfectly.
Correct Answer: D — Benign. The logic requires a word describing the current “safe” state that will erode as more satellites are launched.
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