At the beginning of an experiment, a scientist has 356 grams of radioactive goo. After 210 minutes, her sample has decayed to 44.5 grams. Find a formula for G ( t ) , the amount of goo remaining at time t . Keep at least 5 decimal places.

Step-by-step explanation:

Use the decay formula:   where

Given: P = 44.5, P₀ = 356, k = unknown, t = 210 minutes (3.5 hours)

Input P₀ = 356 and k = -0.59413 into the decay formula

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step-by-step explanation:

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f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

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