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Home » $z = 150^\circ$: $\sin(300^\circ) = -\sqrt3/2$, $\cos(150^\circ) = -\sqrt3/2$ â OK. - ClickBalance

$z = 150^\circ$: $\sin(300^\circ) = -\sqrt3/2$, $\cos(150^\circ) = -\sqrt3/2$ â OK. - ClickBalance

📅 May 18, 2026 👤 scraface

May 18, 2026

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📌 Multiply both sides by 5 to eliminate the fraction:

📌 Take the square root of both sides to solve for \( S \):

📌 S = \sqrt{125} = \sqrt{25 \times 5} = 5\sqrt{5}

📌 Thus, the community size \( S \) is \(\boxed{5\sqrt{5}}\).

📌 Question:** A bioinformatics researcher is modeling the growth rates of two bacterial strains using functions. If the growth of strain A is modeled by \( f(x) = 3x + 2 \) and strain B by \( g(x) = 2x + 5 \), find the value of \( x \) where the growth rates of the two strains are equal.

📌 To find the value of \( x \) where the growth rates are equal, set the two functions equal to each other:

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