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Home » #### \( x = 3, y = 2 \) - GetMeFoodie

#### \( x = 3, y = 2 \) - GetMeFoodie

📅 April 29, 2026 👤 scraface

Apr 29, 2026

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📌 Solution: We are arranging 5 proteins: 2 As, 2 Gs, and 1 F, with indistinguishable items within each type. The number of distinct sequences is:

📌 So, there are 30 possible processing orders.

📌 Substitute $ x = 5 $ into both functions:

📌 We are told that $ h(2) = 20 $. Substitute $ t = 2 $ into the function:

📌 Let $ a = x + 3 $, $ b = x - 1 $. Then:

📌 Question: A zoologist models the population dynamics of two species using the expressions $ (2x + 5) $ and $ (x + 1) $. If the product of these expressions represents the interaction rate, expand the product and simplify.

📌 $$Question: A graphic designer is creating a logo with a sequence of 9 icons, consisting of 4 stars, 3 moons, and 2 suns. How many distinct arrangements can be made if the icons of the same type are indistinguishable?

📌 Solution: We are asked to count the number of distinct permutations of a multiset. The total number of icons is $4 + 3 + 2 = 9$, with repetitions of each type. The number of distinct arrangements is given by the multinomial coefficient:

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A = r \cdot s = r \left(\frac{a + b + z}{2}\right)
\frac{\pi r^2}{A} = \frac{\pi r^2}{r \cdot s} = \frac{\pi r}{s}
Since \( s = \frac{a + b + z}{2} \) and \( a + b = z + 2r \), we have:
s = \frac{z + 2r + z}{2} = z + r
\frac{\pi r}{z + r}
\boxed{\frac{\pi r}{z + r}}
An equilateral triangle has an area of \( 36\sqrt{3} \) square centime...
The area \( A \) of an equilateral triangle with side length \( s \) i...
Given \( A = 36\sqrt{3} \), we solve for \( s \):
\frac{\sqrt{3}}{4} s^2 = 36\sqrt{3}

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