3 years ago

What is the circumference of a circle with a radius of 0.8 m? A. 0.64pi m B. 0.8pim C. 1.6pi m D. 2.56pi m

Mathematics

1 answer:

Paraphin [41]3 years ago

7 0

C = 2πr
C = 2(3.14)(0.8)
C = 2(2.512)
C = 5.024 m

The answer is C.

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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.

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