Provide structures for the semicarbazone and the $2,4$-dinitrophenylhydrazone of citral.

Evaluate each expression. a. 2^4 b. 5^3 c. 8.3^2 d. 1^9 e. 13^1 f. 56.8^0 g. 10^5 h. 100^2 i. 0^12 j. eleven squared k. one and three-tenths cubed l. seven squared times two cubed m. three to the fifth power n. four squared cubed

Which end of the muscle typically moves?

Draw structures of the following derivatives. (a) the 2,4-dinitrophenylhydrazone of benzaldehyde (b) the semicarbazone of cyclobutanone

raw structures of the following derivatives.
(i) The 2,4-dinitrophenylhydrazone of benzaldehyde
(ii) Cyclopropanone oxime
(iii) Acetaldehydedimethylacetal
(iv) The semicarbazone of cyclobutanone
(v) The ethylene ketal of hexan-3-one
(vi) The methyl hemiacetal of formaldehyde

Suppose that queue is an object of type queueType of size 50, queue contains 20 elements, and the index of the first element of queue is 35.

• After removing the next element from queue, what is the index of the first element?

Realtors use an index to compare housing prices in major cities. The housing price index values for several cities are given in the table below. Use the following formula to answer the question.

$$\underset{\text { (other town) }}{\text { price }}=\underset{\text { (your town) }}{\text { price }} \times \frac{\text { index of other town }}{\text { index in your town }}$$

$$\begin{array}{lc|lc} \text { City } & \text { Index } & \text { City } & \text { Index } \\ \hline \text { Atlanta } & 100 & \text { Las Vegas } & 115 \\ \text { Boston } & 146 & \text { Los Angeles } & 190 \\ \text { Chicago } & 105 & \text { Miami } & 161 \\ \text { Dallas } & 121 & \text { Phoenix } & 122 \\ \text { Denver } & 136 & \text { San Franciscol } & 172 \end{array}$$

For a house valued at $\$ 600,000$ in Boston, find out the price of a comparable house in Los Angeles.

You have a 1-m-wide, 2-m-long 14-kg wooden board. If you place a 5.0-kg pot of soup in one corner of the board, where is the center of mass of the board-pot system?

A sample of 250 observations is selected from a normal population for which the population standard deviation is known to be 25. The sample mean is 20. a. Determine the standard error of the mean. b. Explain why we can use formula to determine the 95 percent confidence interval. c. Determine the 95 percent confidence interval for the population mean

Find dy/dx of y = e raised to (ln (x squared + 1)).

Major home appliances purchased in the United States are now labeled with bright yellow "Energy Guide" tags showing anticipated energy consumption. The tag on a recently purchased washing machine indicated the anticipated energy use would be $940 \mathrm{~kW}$-h per year. Calculate the anticipated annual energy use in kilojoules. (See Question 8 for a definition of a kilowatt-hour.) At 8 cents/ kW-hr, how much would it cost per month to operate this machine?

Suppose we have a repository of 1000 documents, and we wish to build an inverted index with 10,000 words. A block can hold ten word-pointer pairs or 50 pointers to either a document or a position within a document. The distribution of words is Zipfian; the number of occurrences of the $i$ th most frequent word is $100000 / \sqrt{i}$, for $i=1,2, \ldots, 10000$.

a) What is the averge number of words per document?

b) Suppose our inverted index only records for each word all the documents that have that word. What is the maximum number of blocks we could need to hold the inverted index?

c) Suppose our inverted index holds pointers to each occurrence of each word. How many blocks do we need to hold the inverted index?

d) Repeat (b) if the 400 most common words ("stop" words) are not included in the index.

e) Repeat (c) if the 400 most common words are not included in the index.

How is economic growth measured? Why is economic growth important? Why could the difference between a $2.5$ percent and a $3$ percent annual growth rate be of great significance over several decades?

At what value of x does the quadratic function $f(x)=a x^{2}+b x+c, a \neq 0,$ have a stationary point? Under what conditions is the stationary point a local maximum or a local minimum?