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A chemist is doing a new experiment to see if a new
medicine will kill the Corona virus. He starts the test with
10,000,000 virus cells, and after 12 hours there are 5,
000,000 virus cells. How many cells should he expect to be
left after one week? Create an equation.

Sagot :

Andrelalex

Answer:

610 virus cells

Step-by-step explanation:

let 10,000,000 be y And 12hrs be z and the cells left at the end of the week be x

I.e

[tex]x = y { \binom {1} {2}} ^{ \binom{t}{tx} } [/tex]

where tx is how long it takes for 1/2 of it to decay and t is the number of hours it's supposed to decay

So

[tex]x \: = \: 10000000 \: \times {{\frac{1}{2}}} ^{ \frac{24 \times 7}{12} } [/tex]

t is 7 weeks × 24 to convert to hours

so, therefore, 24 × 7 ÷ 12 is 14 [tex]x = 10000000 \times \frac{1}{ {2}^{14} } [/tex]

so 10,000,000 ÷ 2^14

10,000,000 ÷ 16,348 = 610.4

therefore there are approximately 610 viruses left after one week

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