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AVprozaik [17]
2 years ago
5

Help me with this!!!!

Mathematics
1 answer:
Alchen [17]2 years ago
4 0

Answer:

QR=2x=16

Step-by-step explanation:

2x+8= 3x

8=3x-2x

8=x

QR=2x= 8*2=16

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Strontium-90 has a half-life of 28.8 years. If you start with a 300-gram sample of strontium-90,
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Answer:  2.66 × 10⁻¹³

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

First, use the decay formula   A=A_oe^{kt}   where

  • A is the final amount (amount left)
  • A₀ is the initial amount (amount you started with)
  • k is the rate of decay (you need to solve for this)
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Given:

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150=300e^{28.8k}\\\\0.5=e^{28.8k}\\\\ln(0.5)=ln(e^{28.8k})\\\\ln(0.5)=28.8k\\\\\\\dfrac{ln(0.5)}{28.8}=k\\\\\\\large\boxed{-0.0240676=k}\\

Next, input the k-value and the new t-value to solve for A.

  • A = unknown
  • A₀ = 300
  • k = -0.0240676
  • t = 1440

A=300e^{1440(-.0240676)}\\\\\large\boxed{A=2.66\times 10^{-13}}\\

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