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noname [10]
3 years ago
7

PLEASE HELP IVE BEEN STUCK FOR HOURS!

Mathematics
1 answer:
kirza4 [7]3 years ago
5 0
13
14=2•7
15=3•5
16=2•2•2•2
17
18=2•3•3
19
20=2•2•5
...
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If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after t hours is n
natali 33 [55]

Answer:

f^{-1}=3ln_2(\frac{t}{100})

f^-1 represents the number of hours the bacteria developed

Step-by-step explanation:

f(t) = 100 \cdot  2^\frac{t}{3}

To find inverse of a function , replace f(t) with y

y= 100 \cdot  2^\frac{t}{3}

replace t with y and y with x

x= 100 \cdot  2^\frac{y}{3}

solve for y

divide both sides by 100

\frac{x}{100} =2^\frac{y}{3}

take ln on both sides

ln \frac{x}{100} =\frac{y}{3}ln 2

divide both sides by ln

ln_2(\frac{x}{100}) =\frac{y}{3}

multiply by 3 on both sides

y=3ln_2(\frac{x}{100})

Replace x with t  and y with f^-1

f^{-1}=3ln_2(\frac{t}{100})

f^-1 represents the number of hours the bacteria developed

7 0
3 years ago
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Step-by-step explanation:

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Problem Page
Irina18 [472]
20.5/3.25 = 6.3 
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I need find volumen i need help ​
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it's 512

Step-by-step explanation:

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3 years ago
Type the missing numbers in this sequence:<br> -101, -105,<br> -109,<br> -117
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