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Imagine carbon is a master builder with multiple “hands” that can each hold onto another atom. Using these hands, carbon can build chains, rings, and complex structures that other elements can’t. Why is carbon’s ability to form so many bonds so important for life?

What is the valence of a carbon atom? The electron distribution diagram for carbon is included for reference. (Please write numbers only; no words).   

Imagine engineers are designing a new spaceship. They need a fuel that stores a lot of energy, is stable for long storage, and can be easily burned to power engines. They consider using hydrocarbons, molecules made only of carbon and hydrogen. Why would hydrocarbons be an excellent choice for fuel?  

Imagine you are a molecular chef creating a new “organic recipe.” You have a carbon atom as your base. Which elements are you most likely to use as your main ingredients to form organic molecules?

Use the graphs below to evaluate \( (g \circ f) (2) \).  There is no work to show for this problem.

Solve the equation for x.  Show every step on your paper.  This question will require the quadratic formula.  The quadratic formula is \( x= \frac{-b \pm \sqrt[]{b^2-4ac} }{2a} \). \( \frac{2}{x+2} – \frac{1}{x-1} =4 \) Once you solve for x and simplify your solutions, what is the numerical value that goes under the radical?

Consider the scenario of people (aka passengers) who can buy tickets on airline flights.  What best describes the type of relationship between passengers and flights over time (i.e. not just at one point in time)?  

To reduce drivers’ cell phone use, should state governments institute sanctions such as tickets or fines? Or should they try to educate drivers on cell phone use? These are examples of which part of the policy analysis process?

______ refers to the institutions and political processes through which public policy choices are made.

Making modest changes in policy is generally an outcome of which type of policy analysis?