Compute each. Assume the values of the variables are restricted so that the expressions are defined.

$$\frac { ( n - 1 ) ! } { ( n + 1 ) ! }$$

Compute each. Assume the values of the variables are restricted so that the expressions are defined.

$$\frac { n ! } { ( n - 1 ) ! }$$

The solubility of

$$\mathrm { MnSO } _ { 4 } \cdot \mathrm { H } _ { 2 } \mathrm { O }$$

in water at

$$20 ^ { \circ } \mathrm { C }$$

is 70 g per 100 mL of water. Given a solution of

$$\mathrm { MnSO } _ { 4 } \cdot \mathrm { H } _ { 2 } \mathrm { O }$$

of unknown concentrati on, what experiment could you perform to determine whether the new solution is saturated, supersaturated, or unsaturated?

Solve. If an equation has no real solution, say so.

$$2 \sqrt [ 3 ] { x } = \sqrt [ 3 ] { x ^ { 2 } }$$

Compute each. Assume the values of the variables are restricted so that the expressions are defined.

$$\frac { n ! } { ( n - k ) ! }$$

A wildlife center presents a program about birds of prey. The center charges a basic fee of $325 and an additional fee for each bird exhibited. If 5 birds are exhibited, the additional fee is$125. What is the total cost if 7 birds are exhibited?

$$\begin{array} { l } { \text { A proper subgroup } H \text { of a group } G \text { is called maximal if there is no } } \\ { \text { subgroup } K \text { such that } H \subset K \subset G \text { (that is, there is no subgroup } K } \\ { \text { properly contained between } H \text { and } G ) . \text { Show that } Z ( G ) \text { is never a } } \\ { \text { maximal subgroup of a group } G . } \end{array}$$

Solve. 3y + 4y + 6 = 20

Tell whether the quotient is positive or negative without dividing. 5. 12 ÷ 4

Explain how to write terms of a sequence if the formula for the general term is given.

Use this list of multiples of 15 to answer the following questions: $$ \begin{array} { 15 } & { 30 } & { 45 } & { 60 } & { 75 } & { 90 } & { 105 } & { 120 } & { 135 } & { 150 } \end{array} $$ State the numbers which are common multiples of both a. 15 and 10 b. 15 and 9 c. 20 and 30 d. 4 and 30

Solve each equation if the domain of x is {-1, 0, 2}.

Find the unknown number: x - 3/8 = 5/8

Compute each. Assume the values of the variables are restricted so that the expressions are defined.

$$\left( \begin{array} { l } { 5 } \\ { 3 } \end{array} \right)$$