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maw [93]
2 years ago
6

Katia and Thomasina play a computer game and record these scores. Katia: 8, 6, -4, -7, 2, 0, 3 Thomasina: -11, 0, 8, 7, 5, -7, 1

1 Compare Katia's and Thomasina's least scores
Mathematics
1 answer:
suter [353]2 years ago
8 0

Answer:

Step-by-step explanation:

there is no factorization of y^2 -2y +35 in real numbers

Thomasina correctly determined two factors of 35 that differ by 2, but that is not what is needed here. For this problem, she needs two factors of 35 that have a sum of 2.* (There aren't any real-number factors that meet that condition.)

__

The factorization in complex numbers would be ...

 = (y -1 -i√34)(y -1 +i√34)

_____

* Technically, she needs two factors of 35 with a sum of -2. Both factors would have to be negative.

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If you start with 85 milligrams of Chromium 51, used to track red blood cells, which
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About 92 days are taken for 90 % of the material to <em>decay</em>.

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.
  • m(t) - Current mass, in milligrams.
  • \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)

If we know that m_{o} = 85\,mg, t_{1/2} = 27.7\,d and m(t) = 8.5\,mg, then the time required for decaying is:

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\tau = \frac{27.7\,d}{\ln 2}

\tau \approx 39.963\,d

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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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2 years ago
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