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Tanzania [10]
1 year ago
9

Find the values of a and b so that the equation below is an identity: (x+2)³-3(x² −2x) = x³ + ax² +bx+8​

Mathematics
1 answer:
algol131 year ago
4 0

Answer: -10 and 31 respectively

Step-by-step explanation:

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At the beginning of an experiment, a scientist has 356 grams of radioactive goo. After 210 minutes, her sample has decayed to 44
olchik [2.2K]

Answer:  \bold{G(t)=356e^{-0.59413t}}

<u>Step-by-step explanation:</u>

Use the decay formula: P=P_oe^{kt}   where

  • P is the remaining amount of the sample
  • P₀ is the original amount of the sample
  • k is the decay rate
  • t is the time (in hours)

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

44.5=356e^{k(3.5)}\\\\\\\dfrac{44.5}{356}=e^{3.5k}\\\\\\0.125=e^{3.5k}\\\\\\ln(0.125)=3.5k\\\\\\\dfrac{ln(0.125)}{3.5}=k\\\\\\-0.59413=k

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

              \large\boxed{P=356e^{-0.59413t}}

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3 years ago
56. Christy and Adam went to Wal-mart to buy a few items. They bought a pack of
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Hello

Your answer is $310.84

Hope this helps!

⚠️ this answer might be wrong you may report if it's needed ⚠️

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