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In the picture below, you are given the value of angle θ. What is the ratio of the two lengths:

If , express “b” in terms of “a” and “c”:

Solve for x and y:

Given the equation: solve for t in terms of the other variables.

Solve for y in terms of z:

In the picture below, you are given the length of the line L and the angle θ. Calculate the length of the line x.

Thanks for completing this survey. good luck on the final exam, and we wish you a relaxing break.

On a scale of 1-5, how deeply do you read the relevant material in the textbook in preparation for the lectures, quizzes and exams?

(a) Write the ODE for the enzyme (E) in the following schematic of a chemical inhibitor. (b) What type of inhibitor does this represent? (c) Given the plot, what are the maximum reaction rates and half maximum constants and without inhibition (don’t forget to state the  units).

Identify all of the following choices that are examples of causes of spontaneous mutations.