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creativ13 [48]
3 years ago
12

Point A is located at (4, 1) point B is located at (9, 13)

Mathematics
1 answer:
scZoUnD [109]3 years ago
6 0
Since the line segment is partitioned into a 4:1 ratio, the line segment is divided into 5 equal lengths.

Get the horizontal distance:
9 - 4 = 5
Divide by 5
5/5
Multiply by 4
5/5 x 4 = 4
Add this to the x coordinate of A
4 + 4 = 8

Get the vertical distance:
13 - 1 = 12
Divide by 5
12/5
Multiply by 4
12/5 x 4 = 9.6
Add this to the y coordinate of A
1 + 9.6 = 10.6

The coordinates of the point is
(8, 10.6)
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Answer:

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Step-by-step explanation:

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                                       Q(0) = Q_o

                                       Q_o = C*e^(-r*0)

                                      C = Q_o    

- The relation is:

                                       Q(t) = Q_o*e^(-r*t)

- We are also given that the half life of carbon is t = 5730 years:

                                       Q_o / 2 = Q_o*e^(-5730*r)

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                                        r = -Ln(0.5)/5730

                                        r = 0.000120968          

- Hence, our expression for Q(t) would be:

                                       Q(t) = Q_o*e^(-0.000120968*t)                                    

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