Evaluate each express ion if x=6.

$$2 x \div 6$$

During the _____, a cell grows, prepares for division, and divides. cancer, cell cycle, or cytokinesis

Find each probability for choosing a letter at random from the word STATISTICS. P (vowel)

The exercise describes a business venture. Write the cost function, C. You invested $30,000 and started a business writing greeting cards. Supplies cost 2 cent per card and you are selling each card for 50 cent. (In solving this exercise, let x represent the number of cards produced and sold.)

Simplify.

$$\frac { 24 a ^ { 3 } b ^ { 2 } - 16 a ^ { 2 } b ^ { 3 } } { 8 a b }$$

One way to solve

$$3 ^ { x } + 1 = - 2 x - 4$$

is to use a graph. a. On the same set of axes, graph f(x)=

$$3^x$$

+1 and g(x)=-2x-4. b. Use your graph to estimate the intersection of the two functions. Then make a table of values for each function that allows you to refine the estimate to the nearest tenth. c. Based on part (b), what is the approximate solution to the original equation?

Which of the following is true about energy drinks and mixers:
a. carbonation generally slows the rate of alcohol absorption
b. a sweet taste can hide the taste of alcohol
c. caffeine helps keep the person aware of how intoxicated he or she is
d. all of the above?

Find all the second partial derivatives. f(x, y)=x^2y^5+2x^4y

It is easy to breathe when snorkeling with only your face beneath the surface of the water, but quite difficult to breathe when you are submerged nearly a meter, and nearly impossible when you are more than a meter deep (even if your snorkel tube reaches to the surface). Figure out why, and explain carefully.

Assume $x \geq 0$ and find all x for which the given series converges.

$$\sum_{k=1}^{\infty} \frac{(x+0.5)^{k}}{k \sqrt{k}}$$

Copy and complete the statement using <, >.

$$- 1.4 \quad \square \quad 1.2$$

How can the clues in parenthesis be used to answer the statement using the future tense? No hay muchos profesores en nuestro colegio. (haber más profesores) Algún día_______________________________________.

How is Le Chatelier's principle in the production of elemental potassium?

Determine the region in which the function is continuous. Explain $f ( x , y ) = \frac { \sin \left( x ^ { 2 } + y ^ { 2 } \right) } { x ^ { 2 } + y ^ { 2 } }$