Jason has a piece of wire that is 62.4 inches long. He cuts the wire into 3 equal pieces. Estimate the length of 1 piece of wire.

Use each of the three terms below in a sentence that illustrates the meaning of the term. a. state bank b. national bank c. gold standard

In what month do people take the least number of daily vitamins?

Let

$$f(x) = x^2 + 2x + 1$$

and

$$g(x) = x - 4.$$

Identify the rule for

$$\frac { f } { g }$$

and state the domain.

Emma, Brandy, and Damian will cut a rope that is 29.8 feet long into 3 jump ropes. Each of the 3 jump ropes will be the same length. Write a division sentence using compatible numbers to estimate the length of each rope.

Consider a lamina occupying the region R and having the density function $\rho$ given in the first two groups of Exercises. a. Find the moments of inertia $I_x, I_y$, and $I_0$ about the x-axis, y-axis, and origin, respectively. b. Find the radii of gyration with respect to the x-axis, y-axis, and origin, respectively. R is the rectangular region with vertices (0, 0), (0, 3), (6, 3), and (6, 0); $\rho(x, y)=\sqrt{x y}$.

Estimate. Then find the product. Estimate: _____

$$\begin{array} { r } { 28 } \\ { \times 22 } \\ \hline \end{array}$$

The initial rate of a reaction doubles as the concentration of one of the reactants is quadrupled. What is the order of this reactant? If a reactant has a -1 order, what happens to the initial rate when the concentration of that reactant increases by a factor of two?

Tell what method(s) you would use to solve the quadratic equation. Explain your choice(s).

$$3 x ^ { 2 } - 27 = 0$$

List all the subsets of {3,5,9}

List the first five terms of the sequence. a1=2, an+1=an/1+an

Verify that det

$$\left[ \begin{array}{lll}{1} & {2} & {3} \\ {4} & {5} & {6} \\ {7} & {8} & {9}\end{array}\right]=0$$

by using expansions by row 2 and row 3 cofactors.

Draw an isosceles trapezoid (a trapezoid with two equal, non-parallel sides). Label the top base 6 cm and the height 4 cm. If the area of this trapezoid is 36 square cm, what is the length of the other base? You may find it helpful to use the 5-D Process to write an equation to solve.

For $f(x)=\frac{x}{x^{2}+0.000001}$, compute f(0.1), f(0.01), and f0.001). Based on these values, what is a reasonable conjecture for $\lim _{x \rightarrow 0} f(x) ?$? Compute more function values and revise your conjecture.