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Alex_Xolod [135]
3 years ago
6

Juanita can complete 12 math problems in 40 minutes. How many problems can she complete in 60 minutes

Mathematics
1 answer:
RSB [31]3 years ago
3 0

Answer:

The answer is 18.

Step-by-step explanation:

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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)
  • t is the time

Given:

  • A = 1/2(300) = 150
  • A₀ = 300
  • k = unknown
  • t = 28.8

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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3 years ago
Find each rate in 40 meters in 16 sec
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<span> Rate = 40/16 = 10/4 = 5/2 = 2.5 meters/second Unit rate = ratio where denominator is 1 = 2.5/1 meters/second </span>
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What graph is defined by the function given below? <br><br>y = (x-1)(x+4)
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The x intercepts must be 1 and -4, so C.
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This is inequality and solution. plz help. im stuck. THIS IS URGENT
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I hope this helps you



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