Mathematics, 09.12.2019 22:31 whiteshawn0250

Acertain radioactive isotope has a half-life of 5 days. if one is to make a table showing the half-life decay of a sample of this isotope from 32 grams to 1 gram; list the time (in days, starting with t = 0) in the first column and the mass remaining (in grams) in the second column, which type of sequence is used in the first column and which type of sequence is used in the second column?

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Answers

Amount remaining = 32 / 2^(time in days / 5 days)

Days
Mass
0 32.00
1 27.86
2 24.25
3 21.11
4 18.38
5 16.00
6 13.93
7 12.13
8 10.56
9 9.19
10 8.00
11 6.96
12 6.06
13 5.28
14 4.59
15 4.00
16 3.48
17 3.03
18 2.64
19 2.30
20 2.00
21 1.74
22 1.52
23 1.32
24 1.15
25 1.00

First Column - arithmetic sequence
Second Column - Logarithmic Decay sequence

Answer from: King1Gates

The sequence in the first column represents an arithmetic sequence.

and the sequence in second column represents an geometric sequence.

Step-by-step explanation:

We are given a information that:

A certain radioactive isotope has a half-life of 5 days. If one is to make a table showing the half-life decay of a sample of this isotope from 32 grams to 1 gram.

Number of days Mass remaining

0 32 grams

5 16 grams

10 8 grams

15 4 grams

20 2 grams

25 1 gram

Thus; after 25 days (5 half-lives), the sample isotope has decayed from 32 grams to 1 gram .

1st column increasing by factor of '5' each increment i.e. it is an arithmetic sequence.

2nd column being 'halved' each increment (multiplied by factor of 0.5) i.e. it is an geometric sequence.

Answer from: Quest

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870

Answer from: Quest

The great thing about this problem is they give you everything you need to solve it easily. so the expression is: 12h+30w12h+30wand so everywhere you have an “h” you place 66. and everywhere you have a “w” you place 33. then the expression will look like this: 12(66)+30(33)12(66)+30(33)from here you multiply and then add. getting the following of: $785,862hope this

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Acertain radioactive isotope has a half-life of 5 days. if one is to make a table showing the half-l...

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