How To Questions & Answers | Page 9

The solutions to $x^2 - 10x = 24$ are $x = 12$ and $x = -2$.

In an operating electric motor, electrical energy is transformed into mechanical energy.

If an object moves with constant acceleration, its velocity must change by the same amount each second, expressed as $v(t) = v_0 + at$.

Yes, having negative velocity but positive acceleration means the object is slowing down in the opposite direction of motion $\left( \vec{v} < 0 \text{ and } \vec{a} > 0 \right)$.

The formula to find an object's acceleration is $a = \frac{\Delta v}{\Delta t}$, where $\Delta v$ is the change in velocity and $\Delta t$ is the time interval.

The expression equivalent to $4^{-3}$ is $\frac{1}{64}$.

The noble gas configuration of bromine is $[Kr] \ 4s^2 \ 3d^{10} \ 4p^5$.

Cellular respiration is a spontaneous reaction because the Gibbs Free Energy ($\Delta G$) is negative, indicating that the reaction occurs naturally and releases energy.