Complete each sentence by writing the form of the verb indicated in parentheses.

The lost hikers ________ to the cleared path. (past tense of retreat)

Factor. Assume that variables used as exponents represent positive integers.

$$2 x^{2 n}+11 x^n+5$$

If a compressive force of $3.3 \times 10^4 \mathrm{~N}$ is exerted on the end of a $22 \mathrm{~cm}$ long bone of cross-sectional area $3.6 \mathrm{~cm}^2$, $(a)$ will the bone break, and $(b)$ if not, by how much does it shorten?

Complete each sentence by writing the form of the verb indicated in parentheses.

The art students are _________ pictures of buildings. (present participle of sketch)

Complete each sentence by writing the form of the verb indicated in parentheses. The judge ______ carefully to both sides. (past emphatic of listen)

Let

$$Q \left( x ^ { \prime } , y ^ { \prime } \right)$$

be any point of L' different from

$$P \left( x _ { 1 } , y _ { 1 } \right)$$

Explain why

$$\frac { y ^ { \prime } - y _ { 1 } } { x ^ { \prime } - x _ { 1 } } = m$$

.

Complete each sentence by writing the form of the verb indicated in parentheses.

Greg and Chip _________ to dunk basketballs. (base form of try)

A. Millikan, although best known for his "oil-drop experiment," which measured the charge of an electron, also performed pioneering research on the photoelectric effect. In experiments on lithium, for example, Millikan observed a maximum kinetic energy of $0.550 \mathrm{~eV}$ when electrons were ejected with $433.9-\mathrm{nm}$ light. When light of $253.5 \mathrm{~nm}$ was used, he observed a maximum kinetic energy of $2.57 \mathrm{~eV}$. (a) What is the work function, $W_{0}$, for lithium, as determined from Millikan's results? (b) What maximum kinetic energy do you expect Millikan found when he used light with a wavelength of $365.0 \mathrm{~nm}$ ?

Complete each sentence by writing the form of the verb indicated in parentheses.

Through binoculars, Nate ________ a deer. (past tense of spot)

When did the French get involved in the American Revolution?

Describe the formation of an aqueous KI solution.

Carmelita is planning to swim in a charity swim- a- thon. several relatives said they would sponsor her.

Grandmother: I will give you $1 if you swim 1 lap,$3 if you swim 2 laps, $5 if you swim 3 laps,$7 if you swim 4 laps, and so on.

Father: I will give you $1 if you swim 1 lap,$3 if you swim 2 laps, $9 if you swim 3 laps,$27 if you swim 4 laps, and so on.

Aunt Josie: I will give you $2 if you swim 1 lap,$3.50 if you swim 2 laps, $5 if you swim 3 laps,$6.50 if you swim 4 laps, and so on.

Uncle Sebastian: I will give you $1 if you swim 1 lap,$2 if you swim 2 laps, $4 if you swim 3 laps,$8 if you swim 4 laps, and so on.

For each relative, write an equation for the total donation d if Carmelita swims n laps. Which variable is the independent variable? Dependent variable?

Describe the formation of an oxbow lake.

To protect a circular area of a park, cameras are placed on a lamppost in the center of the area. If each camera can observe an arc measure of $75^{\circ}$, how many cameras are needed to observe the entire area around the lamppost?