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weeeeeb [17]
3 years ago
12

Please help me im stressing :((

Mathematics
1 answer:
Olegator [25]3 years ago
7 0

9514 1404 393

Answer:

  • wrong: -2x² -x² ⇒ -2x²
  • correct: x³ -3x² +6

Step-by-step explanation:

The point of these "what was done wrong" exercises is to see if you know what the correct steps look like.

On line 2, Danielle correctly distributed the minus sign to eliminate the second set of parentheses. (There is often a problem with minus signs and parentheses, so it is nice to see it done correctly.)

On line 3, the two x² terms are incorrectly combined. It looks as though Danielle simply dropped the -x² term because it disappeared without changing the coefficient of x² from -2x². The correct sum of those terms is ...

  -2x² -x² = -3x²

so the correct work on line 3 is ...

  x³ -3x² +6

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The mass of radioisotopes (m), measured in milligrams, decreases exponentially in time (t), measured in days. The model that represents such decrease is described below:

m(t) = m_{o}\cdot e^{-\frac{t}{\tau} } (1)

Where:

  • m_{o} - Initial mass, in milligrams.
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  • \tau - Time constant, in days.

In addition, the time constant is defined in terms of half-life (t_{1/2}), in days:

\tau = \frac{t_{1/2}}{\ln 2} (2)

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\tau = \frac{t_{1/2}}{\ln 2}

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About 92 days are taken for 90 % of the material to <em>decay</em>.

We kindly invite to check this question on half-life: brainly.com/question/24710827

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