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My name is Ann [436]
3 years ago
14

Please help me asap!! anything helps I'm really lost in this question if you know part of the question pleas answer. thank you!&

lt;3​

Mathematics
1 answer:
jekas [21]3 years ago
3 0

1.

term number        sequence A        sequence B

        0                          -1                          ¹/₂

        1                            2                          1

        2                           5                          2  

        3                           8                          4

        4                           11                          8

        5                          14                         16    

        6                          17                         32

2.

Every new term of sequence A is produced by adding 3 to the previous term

3.

Every new term of sequence B is produced by multipling the previous term by 2

4.

In a geometric sequence each term is found by multiplying the previous term by a constant. It means the sequence B is geometric, the constant is 2.

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A geologist in South America discovers a bird skeleton that contains 80% of its original amount of C-14. N0= initial amont of C-
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A geologist in South America discovers a bird skeleton that contains 80% of its original amount of C-14

We use formula N = N_oe^{-kt}

N0= initial amont of C-14 (at time t=0)

N= amount of C-14 at time t

t= time, in years

k= 0.0001

N is 80% of N0 that is N= 0.80N_o

N = N_oe^{-kt}

0.80N_o = N_oe^{-kt}

Divide both sides by N_o

0.8=e^{-0.0001 t}

Take ln on both sides

ln(0.8)=lne^{-0.0001 t}

ln(0.8) = -0.0001t ln(e)

ln(0.8) = -0.0001t

Divide both sides by -0.001

t = 2231.435513

The age of the bird skeleton is 2231 years old




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