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Daniel [21]
2 years ago
14

a bacteria triples it’s original population in 25 hours (A=3A0). How big will it’s population be in 100 hours

Mathematics
1 answer:
Maru [420]2 years ago
7 0

Answer:

81 times the original size

Step-by-step explanation:

AA0ktA=3A0=?=?=25hours=A0ekt

Substitute the values in the formula.

3A0=A0ek⋅25

Solve for k. Divide each side by A0.

3A0A0=e25k

Take the natural log of each side.

ln3=lne25k

Use the power property.

ln3=25klne

Simplify.

ln3=25k

Divide each side by 25.

ln325=k

Approximate the answer.

k≈0.044

We use this rate of growth to predict the number of bacteria there will be in 100 hours.

AA0ktA=3A0=?=ln325=100hours=A0ekt

Substitute in the values.

A=A0eln325⋅100

Evaluate.

A=81A0

At this rate of growth, we can expect the population to be 81 times as large as the original population.

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Factorise (2t-7)²-(5t-4)² <br>with working pls​
sertanlavr [38]

Answer:

33+12t−21t^2

Step-by-step explanation:

(2t-7)²-(5t-4)²

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4t^2−28t+49−(5t-4)²

Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (5t-4)².

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To find the opposite of 25t^2

−40t+16, find the opposite of each term.

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Combine 4t^2  and −25t^2  to get −21t^2.

−21t^2−28t+49+40t−16

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−21t^2+12t+33

Swap terms to the left side.

33+12t−21t^2

I hope this helped!

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3 years ago
Older Orchards need more hives per acre Caleb has decided to place 6 hives for every 2 acres on an older peach orchard Zeke one
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Answer:

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Step-by-step explanation:

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