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r-ruslan [8.4K]
2 years ago
13

What is the Greatest Common Factor and the Least common Multiple os 3 and 8

Mathematics
2 answers:
Tatiana [17]2 years ago
7 0

3 is a prime number - the GCF is 1, and the least common multiple of 3 and 8 is 24.

Katen [24]2 years ago
3 0

Answer:

Greatest Common Factor is 1

Least Common Multiple is 24

Step-by-step explanation:

Greatest common factor is the biggest whole number that can be multiplied into the numbers. In this case 1x8=8 and 1x3=3.

Least common multiple is the smallest number each number can multiply into. In this case 3x8=24 and 8x3=24

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The doubling period of a bacterial population is 20 20 minutes. At time t = 100 t=100 minutes, the bacterial population was 9000
Nuetrik [128]

Answer:

The initial population was 2810

The bacterial population after 5 hours will be 92335548

Step-by-step explanation:

The bacterial population growth formula is:

P = P_0 \times e^{rt}

where P is the population after time t, P_0 is the starting population, i.e. when t = 0, r is the rate of growth in % and t is time in hours

Data: The doubling period of a bacterial population is 20 minutes (1/3 hour). Replacing this information in the formula we get:

2 P_0 = P_0 \times e^{r 1/3}

2 = e^{r \; 1/3}

ln 2 = r \; 1/3

ln 2 \times 3 = r

2.08 \% = r

Data: At time t = 100 minutes (5/3 hours), the bacterial population was 90000. Replacing this information in the formula we get:

90000 = P_0 \times e^{2.08 \; 5/3}

\frac{9000}{e^{2.08 \; 5/3}} = P_0

2810 = P_0

Data: the initial population got above and t = 5 hours. Replacing this information in the formula we get:

P = 2810 \times e^{2.08 \; 5}

P = 92335548

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