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Tcecarenko [31]
3 years ago
12

Can someone help i have been asking for 2 hours

Mathematics
1 answer:
yawa3891 [41]3 years ago
6 0

Flipping a point across the y axis, the y coordinate should flip signs (negative if it was positive before, and vice versa). So

reflection across y axis  =  (-1 5/7, 1).

Similarly, reflecting across the x axis, the sign will also flip. So

reflection across x axis  =  (1 5/7, -1).

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How much of a radioactive kind of thorium will be left after 14,680 years if you start with
babymother [125]

Answer:

8978 grams

Step-by-step explanation:

The equation to find the half-life is:

N(t)= N_{0}e^{-kt}

N(t) = amount after the time <em>t</em>

N_{0} = initial amount of substance

t = time

It is known that after a half-life there will be twice less of a substance than what it intially was. So, we can get a simplified equation that looks like this, in terms of half-lives.

N(t)= N_{0}e^{-\frac{ln(\frac{1}{2}) }{t_{h} } t} or more simply N(t)= N_{0}(\frac{1}{2})^{\frac{1}{t_{h} } }

t_{h} = time of the half-life

We know that N_{0} = 35,912, t = 14,680, and t_{h}=7,340

Plug these into the equation:

N(t) = 35912(\frac{1}{2})^{\frac{14680}{7340} }

Using a calculator we get:

N(t) = 8978

Therefore, after 14,680 years 8,978 grams of thorium will be left.

Hope this helps!! Ask questions if you need!!

8 0
2 years ago
Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.
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