Sketch on an Argand diagram the region described by the inequality \( |z-3+4 i| \leq 5 \) [4 marks]

On the interval \( [0,2 \pi) \) determine which angles are not in the domain of the tangent function, \( f(\theta)=\tan (\theta) \) What angles are NOT in the domain of the tangent function on the given interval?

A survey was conducted on religious practices in the United States. Among other questions, respondents were asked their gender and whether they prayed at least once a day. Of the 19,271 females, \( 66 \% \) said they prayed at least daily and of the 16,285 males, \( 49 \% \) said they prayed at least daily. Use SE = 0.0052. A \( 95 \% \) confidence interval for the difference in the proportion of females who pray at least once a day and the proportion of males who pray at least once a day is \( \pm 1.96(.0052) \).

1. Answer the following questions. a. Analyze What external conflict confronts the characters who are charged with witchcraft? b. Make Inferences What internal conflicts do the accused most likely face? Explain, citing textual details.

Montren que: \( \frac{\left(9^{n+1}+9^{n}\right)^{8}}{\left(3^{2 n}-3^{2 n+1}\right)^{2}} \in \mathbb{Z} \)

27 in base ten \( \left(27_{\text {ten }}\right) \)