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Mashcka [7]
3 years ago
8

Plz help me! It’s math!

Mathematics
2 answers:
serious [3.7K]3 years ago
7 0

Answer:

The first one

Step-by-step explanation:

The number line is supposed to show the product of 2 and five, the arrow will start at 0 because 5 times 0 is 0 then it will go to 5 because 5 times 1 is 5, then another arrow will start at 5 and point at 10 because 5 times 2 is 10

The second option points backwards which would be if you were dividing 10 by 5

The third option starts at negative 10 so it shows -10 divided by -5

the last option starts at 0 and goes to -10 so it shows -5 multiplied by 2

Vedmedyk [2.9K]3 years ago
3 0

Answer:

the second one

Step-by-step explanation:

you divide 2 by 5

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A scientist has a sample of bacteria that initially contains 10 million microbes. They observe the sample and finds that the num
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Answer:

M(t) = 6.7 * 10⁷ (67 million)

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Step-by-step explanation:

1. Write an exponential equation that represents M, the total number of bacterial microbes in millions, as a function of t, the number of minutes the sample has been observed.

For answering this question, we will use the following formula:

M(t) = B₀ * g ^(t/m), where:

•M(t) represents the total number of bacterial microbes in millions.

• B₀ represents the initial population of bacteria in millions.

• g represents the growth factor.

• t represents the total number of minutes we will observe the bacteria growing.

• m represents the time in minutes it takes to the growth factor g to occur.

2. Then, determine how much time, to the nearest minute, will pass until there are 67 million bacterial microbes.

M(t) = B₀ * g ^(t/m)

Replacing with the values we know:

6.7 * 10⁷ = 10⁷ * 2 ^(t/20)

6.7 = 2 ^(t/20) (Dividing by 10⁷ at both sides)

ln 6.7 = ln 2 ^(t/20)

ln 6.7 = t/20 ln 2

ln 6.7/ ln 2 = t/20

t = ln 6.7/ln 2 * 20

t = 2.74 * 20

t = 54.88

t ≅ 55 (rounding to the nearest minute)

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