Which of the following medically-relevant genera contain endospore-forming bacteria? Select all that apply.

Molecules act like keys that must fit specific enzyme locks. Even though some molecules have the same parts, how those parts are arranged changes whether or not the key fits. Match the following “key” scenario to the correct isomer type.

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?

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?

Find the inverse of the function \( f(x)= \sqrt[3]{ax}-b \), if it exists.  This is a multiple choice question, but you must show all steps on your paper.  

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?

Which of the following would be a field that you most likely would want to sub-divide into multiple columns to improve sorting and searchability?

Policy analysis that puts a priority on citizen involvement and alignment with public opinion emphasizes ______.