Write a structural formula for each of the following compounds: (a) 6-Isopropyl-2,3-dimethylnonane (b) 4-tert-Butyl-3-methylheptane (c) 4-Isobutyl-1,1-dimethylcyclohexane (d) sec-Butylcycloheptane (e) Cyclobutylcyclopentane

Pristane is an alkane that is present to the extent of about 14% in shark liver oil. Its IUPAC name is 2,6,10,14-tetramethylpentadecane. Write its structural formula.

Draw the structural formula for each of the following. 2-tert-butylpentane

Write a structural formula corresponding to each of the following: (a) Allylbenzene (b) (E)-1-Phenyl-1-butene (c) (Z)-2-Phenyl-2-butene (d) (R)-1-Phenylethanol (e) o-Chlorobenzyl alcohol (f) p-Chlorophenol (g) 2-Nitrobenzenecarboxylic acid (h) p-Diisopropylbenzene (i) 2,4,6-Tribromoaniline (j) m-Nitroacetophenone (k) 4-Bromo-3-ethylstyrene

According to the World Bank, at the end of 2013 (t = 0) the U.S. population was 316 million and was increasing according to the following model: $P(t)=316 e^{0.0074 t}$, where P is measured in millions of people and t is measured in years after 2013. a. Based on this model, what will be the population of the United States in 2020? b. Determine when the U.S. population will be twice what it is in 2013.

Write the condensed structural formula for each of the following compounds: N,N-dimethylbenzamide.

Evaluate each definite integral. $\int_{-2}^{4}(-3) d p$

Draw a condensed structural formula for each of the following alkanes:

a. 3-ethylpentane

b. 3-ethyl-2-methylpentane

c. 4-ethyl-2,2-dimethyloctane

d. 2-bromopropane

e. 2,3-dichloro-2-methylbutane

Differentiate the functions. $g(x)=(\sqrt{x}+5 x-2)(\sqrt[3]{x}-3 \sqrt{x})$

Bacteriophage T4 lacks its own RNA polymerase. How do T4 genes get expressed or converted to mRNA? What host barriers must be broken before release of virions from the host cell?

Draw the structure that corresponds with each name. (a) 3-ethyloctane (b) 4-isopropyldecane (c) sec-butylcycloheptane (d) 2,3-dimethyl-4-propylnonane (e) 2,2,4,4-tetramethylhexane (f) trans-1,3-diethylcyclopentane (g) cis-1-ethyl-4-methylcyclohexane (h) isobutylcyclopentane (i) tert-butylcyclohexane (j) pentylcyclohexane (k) cyclobutylcyclohexane (l) cis-1-bromo-3-chlorocyclohexane

Frankie's mother is on a diet where she is concentrating on portion control. She makes all her meals once a week and puts them in the freezer already packaged into single-meal servings. Her doctor told her to try cutting her regular servings into "halves, thirds, or even fourths" to reduce the amount of food that she eats. Her mother made a big pan of lasagna last night. She cut the lasagna into fourths and ate one. Then she put away the three pieces of leftover lasagna by cutting them each in half and repackaging the results. This process fascinates Frankie "How can you make something smaller and still end up with more?" she asked. Write a fraction representing how much lasagna was left after Frankie's mother ate her dinner. Write another fraction representing how much lasagna was left after it was repackaged. Does she really have more lasagna after repackaging? Use what you know about fractions to explain.

(a) Describe the molecular geometry expected for 1,2,3-butatriene $\left(\mathrm{H}_{2} \mathrm{C \square C \square C \square CH}_{2}\right)$. (b) Two stereoisomers are expected for 2,3,4-hexatriene $\left(\mathrm{CH}_{3} \mathrm{CH} \mathrm{\square C \square C \square CHCH}_{3}\right)$. What should be the relationship between these two stereoisomers?

When 3-methyl-1-butene reacts with HBr, two alkyl halides are formed: 2-bromo-3-methylbutane and 2-bromo-2-methylbutane. Propose a mechanism that explains the formation of these two products.