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saveliy_v [14]
3 years ago
15

Order these numbers from least to greatest. −193 , −38 , 6.23 , −6.5

Mathematics
1 answer:
Leviafan [203]3 years ago
4 0
-193, -38, -6.5, 6.23
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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
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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
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A=300e^{1440(-.0240676)}\\\\\large\boxed{A=2.66\times 10^{-13}}\\

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3 years ago
HELP I REA;LLY WANNA GO TO BED Which side lengths form a right triangle?
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Answer:

first answer is correct

Step-by-step explanation:

Hello, we want to write 2 + 4 + 6 + ... + 20

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for n = 3, 2n=2*3=6

etc

so

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Answer:

Change = (Paid*100) - Price

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First of all we need to know the relation between 1 dollar and 1 cent in order to express everything in the units required in the question.

We know that 1 dollar = 100 cents, so the amount paid for the item with single dollars has to be multiplied by 100 to express its value in cents.

Paid_{cents}=Paid_{dollars}*100

Now that we have everything in cents, we can make the subtraction:

Change_{cents} = Paid_{cents} -Price_{cents}

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