Write $\sqrt{200}$ in simple radical form.

Write formulas to illustrate the difference between each pair of compounds.
a. lithium sulfite and lithium sulfide
b. sodium carbonate and sodium hydrogen carbonate
c. calcium phosphate and calcium dihydrogen phosphate

A random variable X has a uniform density function $f(x)=\frac{1}{5}$ on $20 \leq x \leq 25$.

(a) Find E(X) and Var(X).

(b) Find b such that $\operatorname{Pr}(X \leq b)=.3$.

Study the entries and answer the questions that follow .

The roots pel and puls mean "push."

The root vect means "carry."

The root port means "carry."

The root com means "together" or "with."

The prefixes in and im mean "in" or "into."

The suffix or means "one who does."

List as many words as you can think of that contain the root port.

Draw a vertical line between the subject and predicate. Write S above each simple subject and V above each simple verb. The photographer took the photos and developed them himself.

Draw one line under the simple subject. Draw two lines under the simple predicate. Draw a vertical line (|) between the complete subject and the complete predicate.
They dived into the pool

Draw one line under each simple subject and two lines under each simple predicate.

That store sells everything from anise cookies to zinnia seeds.

Write the simple subject and the simple predicate in the sentence.

Example: The bright Florida sky turned black.

Answer: sky; turned.

Many Florida residents will remember this storm for the rest of their lives!

True or False:

(a) The adjacency matrix of a simple graph must be symmetric.

(b) The adjacency matrix for a simple digraph may contain negative numbers.

(c) If $\mathbf{A}$ is the adjacency matrix for a simple digraph and the $(1,2)$ entry of $\mathbf{A}^n$ is zero for all $n \geq 1$, then there is no path from vertex $P_1$ to $P_2$.

(d) The number of edges in any simple graph equals the number of $1$'s in its adjacency matrix.

(e) The number of edges in any simple digraph equals the number of $1$'s in its adjacency matrix.

(f) If a simple graph has a path of length $k$ from $P_1$ to $P_2$ and a path of length $j$ from $P_2$ to $P_3$, then it has a path of length $k+j$ from $P_1$ to $P_3$.

(g) The sum of the numbers in the $i$ th column of the adjacency matrix for a simple graph gives the number of edges connected to $P_i$.

Draw one line under the simple subject and two lines under the simple predicate for the given sentence below.
Soundlessly, we crept from the van for a closer look.

Show that isomorphism of simple graphs is an equivalence relation.

The object for a magnifier is usually placed very close to the focal point of the lens, creating a virtual image that can be viewed with the relaxed eye. But the object could be placed so that the image is at the eye’s near-point distance. In that case, the image can be viewed only by using the full accommodation of the eye. With this arrangement, is the angular magnification greater than, equal to, or less than the magnification when the image is far away? Explain.

Draw one line under each simple subject and two lines under each simple predicate. Flowers were growing in every nook and cranny of the tiny backyard.

Find div $\mathbf{F}$ and curl $\mathbf{F}$ for the vector field $\mathbf{F}$ at the given point.

$$\begin{array}{l}{\mathbf{F}(x, y, z)=\left(e^{-x} \sin y\right) \mathbf{i}+\left(e^{-x} \cos y\right) \mathbf{j}+\mathbf{k} \text { at }} \\ {(1,3,-2)}\end{array}$$