3 years ago

Help!! Will give brainliest

Mathematics

2 answers:

patriot [66]3 years ago

4 0

Answer:

Step-by-step explanation:

Arturiano [62]3 years ago

3 0

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Whats the equation for the table

serg [7]

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multiply by 32

Step-by-step explanation:

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3 years ago

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Item 10 A bacterial culture quadruples in size every hour. You begin observing the number of bacteria 3 hours after the culture

Vinvika [58]

Answer:

There will be 200 000 bacteria after 8 hours

Step-by-step explanation:

The crop quadruples every hour.

x represents the number of hours that pass after preparing the crop

y represents the number of bacteria after x hours.

The equation for y in function of x 3 hours after observing the crop is:

$y = 192(4^{x - 3})$

We want to know after how long there will be 200 000 bacteria.

Then we make y = 200 000 and clear x.

$200\ 000 = 192(4^{x - 3})\\\\log(200\ 000) = log(192(4^{x-3}))\\\\log(200\ 000) = log(192) + log(4 ^{x-3})\\\\log(200\ 000) - log(192) = (x-3)log(4)\\\\\frac{log(200\ 000) - log(192)}{log(4)} = (x-3)\\\\x = 3 + \frac{log(200\ 000) - log(192)}{log(4)}\\\\x = 8\ hours$