The OH groups at C-2 and C-3 in the $\beta$-pyranose form of D-ribose are: A. Cis and gauche B. Cis and anti C. Trans and gauche D. Trans and anti

The $\beta$-furanose and $\beta$-pyranose forms of D-ribose are: A. Conformational isomers B. Constitutional isomers C. Resonance forms D. Stereoisomers

Use the disk method to find the volume of the solid of revolution generated by revolving the region bounded by the graphs of the given equations about the indicated axis. $y=\sqrt{x}$, the x-axis, x=4, x=9; about the x-axis.

Discuss the consequences of choices.

Solve the given equation or inequality. $\left|\frac{x}{2}\right|>\frac{1}{3}$

Even though the methyl group occupies an equatorial site, the conformation is not the most stable one for methylcyclohexane. Explain.

Evaluate the definite integral. $\int_{a}^{b}\left(m y+n y^{2}\right) d y$

Simplify and express all answers in terms of positive exponents. $x^{6} x^{9}$

Evaluate the expression. $10^{\left(\log _{10} 4+\log _{10} 7\right)}$

Create the following definitions: An etymological definition for the word “telephone”

A computer consultant charges $50 plus$40 for each hour she works. The consultant charged $650 for one job. This can be represented by the equation below, where h represents the number of hours worked. 40h + 50 = 650 How many hours did the consultant work?

Draw the nucleotide adenosine triphosphate. Include appropriate charges on the phosphate groups.

Find each limit. $\lim _{x \rightarrow-\infty}\left[e^{x}\left(\frac{x^{2}+x-3}{2 x^{3}-x^{2}}\right)\right]$

Compute probabilities for the following compound events: Mr. Andrews, a grape merchant, inquires about a certain wine that he tastes at a party. The host tells him that from a total of ten bottles of that wine, six came from the north vineyard and four came from the south vineyard. From this information, the merchant concludes that he should visit the north vineyard for a sample of the grapes. Later, he discovers that the wine in question came from a bottle labeled Classic Reserve, and 30 of 100 barrels of north vineyard wine were bottled with that label, while 130 of 200 barrels of south vineyard wine were bottled with that label. Given this new information, what is the probability that the wine came from the north vineyard?