Add or subtract. Identify any x-values for which the expression is undefined.

$$\frac { 3 x + 2 } { x - 2 } - \frac { x + 5 } { x - 2 }$$

How would you say 'Ernest speaks with them' in Spanish?

A uniform flux density of 1 T is perpendicular to the plane of a five-turn circular coil of radius 10 cm. Find the flux linking the coil and the flux linkages. Suppose that the field is decreased to zero at a uniform rate in 1 ms. Find the magnitude of the voltage induced in the coil.

Gary has a function $s(x)=10^{x}$ and Amy has her function $a(m)=10^{m}$. Each person is going to choose a whole number at random from the numbers 1, 2, 3... 10, and substitute it into his or her respective function. After they do this, what is the probability that g(x)=a(m)?

$\Delta$ denotes the symmetric difference operator defined as $A\Delta B=(A\cup B)-(A\cap B)$, where A and B are sets. Is $\Delta$ commutative? If so, prove it; otherwise, give a counterexample.

A narrow beam of light containing red (660 nm) and blue (470 nm) wavelengths travels from air through a 1.00-cm-thick flat piece of crown glass and back to air again. The beam strikes at a $30.0^{\circ}$ incident angle. (a) At what angles do the two colors emerge? (b) By what distance are the red and blue separated when they emerge?

Determine the critical numbers of the given function and classify each critical point as a relative maximum, a relative minimum, or neither. $f(t)=2 t^{3}+6 t^{2}+6 t+5$

Add: 70.02 + 0.0013 + 9.062 + 0.142

When the first two astronauts landed on the Moon, a third astronaut remained in an orbiter in circular orbit near the Moon’s surface. During half of every complete orbit, the orbiter was behind the Moon and out of radio contact with the Earth. On each orbit, how long was the time when radio contact was lost?

Find each sale price. $520 TV; 18% off.

What is the term for the release of harmful substances into the environment? a.pollutant b.sediment c.sewage d.pollution

Evaluate the following integrals.

$$\int \frac{\cos 7 w}{16+\sin ^{2} 7 w} d w$$

The following excerpts appear in a guide for preparing income tax reports. Source: Your Income Tax 2014. (a) The tax law provides several tax benefits for people attending school. (b) If you use the Tax Table, you do not have to compute your tax mathematically. (c) You may not deduct the expenses of seeking your first job. (d) Make sure the names used when you and your spouse file your joint return match the names you have provided to the Social Security Administration.

Write the negation of statement (c).

Write a formula for the area of a circle of radius r.