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Alinara [238K]
3 years ago
14

If there are initially 1800 bacteria in a culture, and the number of bacteria double each hour, the number of bacteria after t h

ours can be found using the formula N=1800(2^t). About how long will it take the culture to grow to 5400 bacteria?
Mathematics
1 answer:
Nataly_w [17]3 years ago
5 0

Answer:  1.58 hours

<u>Step-by-step explanation:</u>

5400=1800(2)^t\\\\3=2^t\\\\ln\ 3=ln\ 2^t\\\\ln\ 3=t\cdot ln\ 2\\\\\dfrac{ln\ 3}{ln\ 2}=t\\\\1.58=t

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nataly862011 [7]

We have been given that Wally wants to determine the height of a statue that casts a 164-inch shadow by comparing it to his own height and shadow length. Wally is 68 inches tall, casts a shadow that is 41 inches in length.

We will use proportions to solve for the height of the statue because proportions state that ratio between two proportional quantities is same.

\frac{\text{Height of statue}}{\text{Shadow of statue}}=\frac{\text{Height of Wally}}{\text{Shadow of Wally}}

Upon substituting our given values in above equation, we will get:

\frac{\text{Height of statue}}{\text{164 cm}}=\frac{\text{68 inch}}{\text{41 inch}}

\frac{\text{Height of statue}}{\text{164 cm}}\times \text{164 cm}=\frac{\text{68 inch}}{\text{41 inch}}\times \text{164 cm}

\text{Height of statue}=\frac{\text{68 inch}}{1}\times 4

\text{Height of statue}=272\text{ inches}

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Match each transformations to the shape it maps shape 1 onto ... Drag the tiles to correct boxes to complete the pairs
rosijanka [135]

Answer:

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