If the lac repressor gene were mutated so that the allosteric site on the encoded protein no longer bound allolactose, what would be the effect on transcription of the lac operon? What about a similar mutation in the trp repressor gene?

If the DNA sequence A-T-T-G-G-C-C-T-A on an informational strand mutated and became A-C-T-G-G-C-C-T-A, what effect would the mutation have on the sequence of the protein produced?

A student multiplied $\sqrt{-9} \text { and } \sqrt{-9}$ as follows:

$$\begin{aligned} \sqrt{-9} \cdot \sqrt{-9} &=\sqrt{(-9)(-9)} \\ &=\sqrt{81} \\ &=9 \end{aligned}$$

The instructor marked the problem incorrect. Why?

What is the difference between positive and negative regulation of gene expression?

Describe the different types of mutations.

In the lac operon, what are the likely effects on operon gene transcription of the mutations identified below?

a. Mutation of consensus sequence in the lac promoter

b. Mutation of the repressor binding site on the operator sequence

c. Mutation of the lacI gene affecting the allosteric site of the protein

d. Mutation of the lacI gene affecting the DNA-binding site of the protein

e. Mutation of the CAP binding site of the lac promoter

Describe the molecular conditions at the lac operon promoter in the presence and absence of lactose.

During the course of one day, make a list of at least 10 manufactured items that you handle, such as your clothing and the cafeteria trays used in your school. Find out where each item is produced, and make a log of the items, noting whether each is domestic- or foreign-made. Write a persuasive essay supporting or opposing international trade.

Two boats leave a marina at the same time. One travel south and the other travels north. The southbound boat travel 6 mph faster than the northbound boat. After 3 hr, the distance between the boats is 66 mi., Determine the speed of each boat.

To prove that $\exists x\exists yP(x,y)$ is true, find one value of $x\in X$ and one value of $y\in Y$ that makes $P(x,y)$ true; where the domain of discourse is $X\times Y$.

Reduce each rational expression to lowest terms. Specify the domain of the rational expression by identifying all real numbers that must be excluded from the domain. $\frac { 2 x - 1 } { 1 - 2 x }$

The following pattern is called Pascal's triangle. Complete Row 5 of the triangle.

$$\begin{array}{cccccccccc} \text{Row 0} & {} & {} & {} & {} & 1 & {} & {} & {} & {}\\ \text{Row 1} & {} & {} & {} & 1 & {} & 1 & {} & {} & {}\\ \text{Row 2} & {} & {} & 1 & {} & 2 & {} & 1 & {} & {}\\ \text{Row 3} & {} & 1 & {} & 3 & {} & 3 & {} & 1 & {}\\ \text{Row 4} & 1 & {} & 4 & {} & 6 & {} & 4 & {} & 1 \end{array}$$

Graph each expression and make a conjecture, predicting what might be an identity. Then verify verify your conjecture algebraically. $(\sec \theta+\tan \theta)(1-\sin \theta)$

Enzymes that are always present, regardless of the amount of substrate, are what?