Gabby's Final! :)

Front

What is the solution to the equation that results in 6?

Back

The solution is 6.

Front

Simplify the expression to find the correct option.

Back

The correct option is D.

Front

What is the value of log₅25?

Back

The value is 2.

Front

Find the tangent of θ if the opposite side is 8 and the adjacent side is 12.

Back

The tangent of θ is 8/12.

Front

How do you model the decrease of a bacterial colony by 14.9% per minute?

Back

The function is f(x) = 12000(1 - 0.149)^x.

Front

What does a logarithm represent in mathematics?

Back

A logarithm represents the exponent to which a base must be raised to produce a given number.

Front

Define the term 'tangent' in trigonometry.

Back

Tangent is the ratio of the length of the opposite side to the length of the adjacent side in a right triangle.

Front

What is the formula for exponential decay?

Back

The formula is f(x) = a(1 - r)^x, where a is the initial amount and r is the decay rate.

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth increases over time, while exponential decay decreases over time.

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a certain value.