Write in standard notation (1/sqrt2-1/sqrt2 i)^6

Write the sentence as an equation. z plus 372 is equal to 160

Marcus needs to rewrite f(x) = x2 + 6x + 4 in vertex form.

Which approach to the theory-and-research cycle does the following sequence reflect: (1) specific observations suggest generalizations, (2) generalizations produce a tentative theory, (3) the theory is tested through the formation of hypotheses, and (4) hypotheses may provide suggestions for additional observations?