Front

Define dimensional analysis.

Back

Dimensional analysis is a mathematical technique used to convert one set of units to another, ensuring that equations are dimensionally consistent.

Front

What is the formula to solve for a variable in a linear equation of the form ax + b = c?

Back

To solve for x, rearrange the equation to x = (c - b) / a.

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Front

Convert 1256 seconds to hours.

Back

0.35 h.

Front

Convert 27 picoseconds to femtoseconds.

Back

27,000 fs.

Front

Solve for y in the equation: 3x + y = 12.

Back

y = -3x + 12.

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Front

What is the principle of isolating a variable in an equation?

Back

The principle involves rearranging the equation to get the desired variable on one side and all other terms on the opposite side.

Front

What does it mean for an equation to be dimensionally consistent?

Back

An equation is dimensionally consistent if all terms on both sides of the equation have the same dimensions.

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