Which value is $i^6$ equal to?

In a simple AC circuit, impedances are sometimes represented as complex numbers and combine multiplicatively in series. Compute the product $(2+3i)(4-i)$, representing the combination of impedances, and express the result in $a+bi$ form.

Compute $\frac{1+2i}{3-4i}$ in standard form $a+bi$, reduced to lowest terms.

What is the correct first step in solving $7x^2+28=0$ by the square root property?

What is the simplest form of $\sqrt{-121}$?

A vibration model leads to $x^2=-72$. Which solution set is written in simplest form?

Which of the following best describes the graph of any quadratic function $y=a{x}^2+bx+c$, with $a\ne 0$?

Use the axis-of-symmetry formula $x_v=-\frac{b}{2a}$ to find the vertex of $y=-x^2+4x+1$.

A toy rocket's vertical position, in units of meters, is modeled by: $h\left(t\right)=-5t^2+20t+1$, where $t$ is in seconds. If aerodynamic drag doubles the magnitude of the $t^2$ coefficient, such that the model becomes:$h_2\left(t\right)=-10t^2+20t+1$, determine how the time where the rocket will reach its maximum height and how the maximum height itself will change as a result.