Write the decimal as a fraction or a mixed number in simplest form. 27. -12.405

Simplify each expansion.

$$\left( 2 \times 10 ^ { 5 } \right) + \left( 3 \times 10 ^ { 4 } \right) + \left( 0 \times 10 ^ { 3 } \right) + \left( 6 \times 10 ^ { 2 } \right) + \left( 7 \times 10 ^ { 1 } \right) + \left( 5 \times 10 ^ { 0 } \right)$$

Graph each inequality on a coordinate plane. 4x + 2y ≤ 8

Evaluate the following expressions given the values below. a. ab + bc + ac for a = 2, b = 5, and c = 3 b.

$$(20 - x^2)/(y - x)$$

for x = -2 and y = 6

Find the product or quotient.

$$\begin{array} { r } { 7.03 } \\ { \times 4.3 } \\ \hline \end{array}$$

You and a friend are collecting leaves. In your collection of 45 leaves, 4 are oak leaves. In your friend's collection of 36 leaves, 3 are oak leaves. Whose collection has a greater fraction of oak leaves?

find two quadratic functions, one that opens upward and one that opens downward, whose graphs have the given x-intercepts. (There are many correct answers.) (4, 0), (8, 0)

Find the coefficient of the given term when the expression is expanded by the binomial theorem.

$$p ^ { 16 } q ^ { 7 }$$

in

$$\left( 3 p ^ { 2 } - 2 q \right) ^ { 15 }$$

You are traveling on a two-way street and want to turn left onto a one-way street. Your light is red, but there is no traffic on the one-way street. What action will you take and why?

Solve each inequality. Graph the solution set on a number line.

$$| c | \geq 8$$

Which of the following linear plots do you expect for a reaction

$$A \longrightarrow$$

products if the kinetics are second order?

Let S={2, 4, 6} and T={1, 3, 5}. Use the set-roster notation to write each of the following sets, and indicate the number of elements that are in each set: a.

$$S \times T$$

, b.

$$T \times S$$

, c.

$$S \times S$$

, d.

$$T \times T$$

Find the indefinite integral. ∫ (sec² ti + 1/(1+t²) j) dt

One of the music industry’s most pressing questions is: Can paid download stores contend nose-to-nose with free peer-to-peer download services? Data gathered over the last 12 months show Apple’s iTunes was used by an average of 1.65 million households with a sample standard deviation of 0.56 million family units. Over the same 12 months WinMX was used by an average of 2.2 million families with a sample standard deviation of 0.30 million. Assume the population standard deviations are not the same. Using a significance level of 0.05, test the hypothesis of no difference in the mean number of households picking either variety of service to download songs.