Solve the equation.

$$6 ^ { x - 2 } = 36$$

A spinner is divided into 12 congruent regions, colored red, blue, and green. Landing on red is twice as likely as landing on blue. Landing on blue and landing on green are equally likely. a. What is the probability of landing on green? Show your work or explain in words how you got your answer. b. How many regions of the spinner are colored green? Explain your reasoning.

One side of a regular pentagon measures 0.8 meter. What is the perimeter of the regular pentagon?

Solve each triangle using either the Law of Sines or the Law of Cosines. $a=4, c=5, B=55^{\circ}$

Solve the following differential equations by using integrating factors. $x y^{\prime}=3 y+x^{2}$

A store posted a sign to entice shoppers that read: "Our prices are rising slower than anyplace else in town." Restate the sign using calculus terminology.

Write expressions for K and $K_P$ for the following reactions.

$$\mathrm { CuO } ( s ) + \mathrm { H } _ { 2 } ( g ) \rightleftharpoons \mathrm { Cu } ( l ) + \mathrm { H } _ { 2 } \mathrm { O } ( g )$$

If the maximum intensity of radiation for a blackbody is found at 2.65

$$\mu \mathrm { m }$$

, what is the temperature of the blackbody?

Use your book or dictionary to define each term. Spontaneous generation _____.

Use the properties of limits and the facts that

$$\lim _{x \rightarrow 0} \frac{\sin x}{x}=1 \quad \lim _{x \rightarrow 0} \frac{\cos x-1}{x}=0 \quad \lim _{x \rightarrow 0} \sin x=0 \quad \lim _{x \rightarrow 0} \cos x=1$$

where x is in radians, to find each limit. $\lim _{x \rightarrow 0} \frac{\sin (2 x)}{x}$

Construct a quadrilateral with at least one 60 degree angle and all sides that are the same length.

Determine the speed

$$\frac { d s } { d t }$$

at time t (assume units of meters and seconds).

$$\left( t ^ { 3 } , t ^ { 2 } \right),$$

t = 2

Graph a possible density function representing crop yield (in kilograms) from a field under the given circumstance.

A drought makes low yields most common, and there is no yield greater than 30 kg.

Graph the function. Identify the domain and range of the function.

$$g ( x ) = - 3 ( x + 1 ) ^ { 1 / 3 }$$