On the lines provided, write each italicized modifier in the form described in parentheses. ---- kittens are playful. (many, superlative

On the lines provided, write a geographical name for each of the following common nouns.

park $\underline{\hspace{3cm}}$

A set S is partitioned into two subsets $S_1$ and $S_2.$ This produces a partition $\mathcal{P}_{1}$ of S where $\mathcal{P}_{1}=\left\{S_{1}, S_{2}\right\}$ and so $\left|\mathcal{P}_{1}\right|=2.$ One of the sets in $\mathcal{P}_{1}$ is then partitioned into two subsets, producing a partition $\mathcal{P}_{2}$ of S with $\left|\mathcal{P}_{2}\right|=3.$ A total of $\left|\mathcal{P}_{1}\right|$ sets in $\mathcal{P}_{2}$ are partitioned into two subsets each, producing a partition $\mathcal{P}_{3}$ of S. Next, a total of $\left|\mathcal{P}_{2}\right|$ sets in $\mathcal{P}_{3}$ are partitioned into two subsets each, producing a partition $\mathcal{P}_{4}$ of S. This iscontinued until a partition $\mathcal{P}_{6}$ of S is produced. What is $\left|\mathcal{P}_{6}\right|?$

Perform the division.

$$\frac{4 v^{4}+10 v^{3}-8 v^{2}}{4 v^{2}}$$

A dolphin hears a 280 kHz sound with a wavelength of 0.51 cm. What is the wave’s speed?

Rewrite each active-voice sentence in the passive voice and each passive-voice sentence in the active voice.

Our picture was taken by a photographer.

If you cool an open vessel of liquid gallium until a thin solid "cake" forms, will the cake form on the top or the bottom? Assume that the air above the liquid gallium is stagnant and does not cool the surface at all.

Use the following information. The number of students at a large high school who will catch the flu during an outbreak can be estimated by $n=\frac{170 t^2}{t^2+1}$, where $t$ is the number of weeks from the beginning of the epidemic and n is the number of ill people.

Perform the division indicated by $\frac{170 t^2}{t^2+1}$.

Convert the polar equation to rectangular form and identify the type of curve represented:

$$\theta=-\frac{\pi}{3}$$

Rewrite each active-voice sentence in the passive voice and each passive-voice sentence in the active voice.

Water is not drunk by koala bears.

For this Exercises, write the statement in symbols. Let p = “My dad is cool” and q = “My mom is cool.” Let nerdy mean not cool. Given : If my mom is nerdy, then my dad is cool.

Determine the area of the triangle ABC provided in this exercise.

b=3, c=8, $\sin A=\frac{1}{4}$

Use the Law of Syllogism to draw a valid conclusion from each set of statements, if possible. If no valid conclusion can be drawn, write no valid conclusion and explain your reasoning. If Tina has a grade point average of 3.0 or greater, she will be on the honor roll. If Tina is on the honor roll, then she will have her name in the school paper.

Use synthetic division to find $P(4)\) for \(P(x)=2 x^{4}-3 x^{2}+4 x-1$