HW4

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School

Brigham Young University, Idaho *

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112

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Mathematics

Date

Apr 3, 2024

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pdf

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Uploaded by BrigadierHeronPerson1057

Question: Solve the system of linear equations: \[ \begin{cases} 2x - 3y = 7 \\ 4x + 2y = 10 \end{cases} \] Answer: \(x = 2\) and \(y = -1\). --- Question: Find the value of \(x\) if \(2^{x+1} = 16\). Answer: \(x = 2\). --- Question: Calculate the circumference of a circle with diameter \(12\) units. Answer: Circumference = \(12\pi\) units. --- Question: If \(\cot(\theta) = 3\), find \(\tan(\theta)\). Answer: \(\tan(\theta) = \frac{1}{\cot(\theta)} = \frac{1}{3}\). --- Question: Simplify the expression: \(\frac{5x^3}{10x^2}\). Answer: \(\frac{x}{2}\). --- Question: Determine the solution set for the inequality: \(2x - 5 < 3x + 2\). Answer: \(x > -7\). --- Question: Find the value of \(a\) if \(\log_{3}(a) = 2\).

Answer: \(a = 9\).

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HW4

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