Use a calculator to solve each equation on the interval $0 \leq \theta<2 \pi .$ Round answers to two decimal places. $3 \sin \theta-2=0$

If you were a scientist trying to determine if an organism evolved gradually or rapidly, how would patterns in the fossil record help you? Explain how the pattern would provide evidence to support the rate of evolution for that organism.

Discuss the advantages and disadvantages of selective breeding.

Suppose that the amount, in grams, of plutonium 241 present in a given sample is determined by the function defined by $A(t)=2.00 e^{-0.053t}$, where t is measured in years. Find the amount present in the sample after the given number of years. (a) 4, (b) 10, (c) 20, (d) What was the initial amount present?

Solve the compound inequality, if possible. Graph the solution set (if one exists) and write it using interval notation.

$$- 3 < f ( x ) < 7 \text { where } f ( x ) = \frac { 2 } { 3 } x - \frac { 1 } { 3 }$$

For each generic reaction, determine the value of $\Delta H_{2}$ in terms of $\Delta H_{1}$ a. $A + B \longrightarrow 2 C$ $\Delta H_{1}$ $2C \longrightarrow A+B$ $\Delta H_{2} = ?$ b. $A + 1/2 B \longrightarrow C$ $\Delta H_{1}$ $2A + B \longrightarrow 2 C$ $\Delta H_{2} = ?$ c. $A \longrightarrow B + 2 C$ $\Delta H_{1}$ $1/2 B + C \longrightarrow 1/2 A$ $\Delta H_{2} = ?$

Answer each question with a vocabulary term from the Study Guide page. What are resources called that are found in limited amounts or are replaced by natural processes over extremely long periods of time?

Determine a definite integral that represents the area. determine a definite integral that represents the area $r = 3 \sin \theta$

$$5w^2-2w=0$$

Use a chart like this to list the types of sources used in each news report.

$$\begin{matrix} \text{News Report} & \text{Sources Used} & \text{ }\\ \text{"On Doomed Flight…"} & \text{ } & \text{ }\\ \text{"Memorial is Unveiled…"} & \text{ } & \text{ }\\ \end{matrix}$$

Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference and the sum of the first n terms. If the sequence is geometric, find the common ratio and the sum of the first n terms. 0, 4, 8, 12,...

For what type of assignment might you use this primary source quotation? Explain.

Evaluate dy for the given values of x and dx. y=(3+x^2)^1/2, x=1, dx=-0.1

(a) Prove that $3,5,$ and 7 are quadratic nonresidues of any Fermat prime $F_{n},$ where $n \geq 2$ (b) Show that every quadratic nonresidue of a Fermat prime $F_{n}$ is a primitive root of $F_{n}$