Solve the absolute value inequality to find the interval of convergence.

$$\left| \dfrac{x+1}{2} \right| < 1$$

Points A(−1, 1, 2) and B(3, 5, 4) lie on the line with equation

$$r = \left( \begin{array} { r } { - 1 } \\ { 1 } \\ { 2 } \end{array} \right) + \lambda \left( \begin{array} { l } { 2 } \\ { 2 } \\ { 1 } \end{array} \right)$$

. Find the coordinates of point P on the same line such that AP = 3 AB.

Add or subtract as indicated. Write your answers in the form a+bi. $(5-i)+(-5+i)$

Write an essay that explains how President Roosevelt's New Deal had immediate and far-reaching effects on the U.S. economy.

A basketball team has 5 distinct positions. Out of 8 players, how many starting teams are possible if (A) The distinct positions are taken into consideration? (B) The distinct positions are not taken into consideration? but either Mike or Ken (but not both) must start?

Determine the amplitude and period of each function without graphing. y = -3 cos(3x)

What is the present tense third person singular form of the verb saber?

a. Draw the 18 isomeric octanes. b. Give each isomer its systematic name. c. How many isomers have common names? d. Which isomers contain an isopropyl group? e. Which isomers contain a sec-butyl group? f. Which isomers contain a tert-butyl group?

Find the multiplicative inverse of the number.

$$- 2 \frac { 2 } { 5 }$$

Because different rounding results in different estimates, there is not one single, correct answer to each exercise. The average life expectancy in Mozambique is 40.3 years. Estimate the country’s life expectancy in hours.

In Dred Scott v. Sanford of 1857, the Supreme Court found that "A free negro of the African race, whose ancestors were brought to this country and sold as slaves, is not a 'citizen' within the meaning of the Constitution of the United States," How did the Supreme Court decision add to the tensions over slavery in the 1850s?

Sketch a graph of each equation in a rectangular coordinate system. $8 x-3 y=24$

A scale drawing has a scale of 1 in : 11 ft. Find the actual length for each drawing length. 21 in.

Use Euler diagrams to determine whether each argument is valid or invalid. All logic problems make sense.

$$\frac { \text {Some jokes make sense.} } { \text {Therefore , some logic problems are jokes.} }$$