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

· Mathematics · To Solve The Given Equation · The Specific And Relevant Concepts Used Are:
Quadratic Formula And Factoring

Author Emily Rosen15 Aug, 2024

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

· Physics · Lorentz Force Law · Torque Generation

Author Richard Hamilton15 Aug, 2024

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

· Physics · Constant Acceleration Implies Velocity Changes Linearly · Velocity Change Is Independent Of Initial Speed Under Constant Acceleration

Author Richard Hamilton15 Aug, 2024

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

· Physics · Relative Direction Of Velocity And Acceleration · Graphical Interpretation Of Velocity Versus Time

Author Richard Hamilton15 Aug, 2024

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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.

· Mathematics · Acceleration Formula · Change In Velocity

Author Emily Rosen15 Aug, 2024

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

· Mathematics · Exponents And Negative Exponents · Property Of Exponents

Author Emily Rosen15 Aug, 2024

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

· Chemistry

Author Johnathan Clark 15 Aug, 2024

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

· Biology · Gibbs Free Energy · Negative Delta G

Author Rebecca Green 15 Aug, 2024

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