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Lapatulllka [165]
3 years ago
9

A circle has the equation (x−4)2+(y−1)2=34.

Mathematics
1 answer:
salantis [7]3 years ago
5 0

Answer:

A

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 4)² + (y - 1)² = 34 ← is in standard form

with centre = (4, 1 ) and r² = 34 ⇒ r = \sqrt{34} → A

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A bone fragment has 67% of the parent Pb-210 remaining. The half-life of Pb-210 is 22 years. How old is the bone fragment?
Korolek [52]

To solve this question we will use two important formulas.

The first formula involves the calculation of the decay constant, k which is to be found as:

k=\frac{0.6931}{T_{\frac{1}{2}}}

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Now, we will use the second formula which is called the function of decay formula and is given as:

N = N_{0} e^{-kt}

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N_{0} percentage of Pb-210 to start with, which is always 100% or 1.

Plugging in all these values in the decay formula we are supposed to find the time, t.

0.67=1\times e^{-0.0315t}

Taking natural log on both sides we get:

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Answer:

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(sorry if this is confusing but I hope it helped)

6 0
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