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djverab [1.8K]
3 years ago
8

PLEASE HELP ME WITH THIS THANK U!:)))

Mathematics
1 answer:
pantera1 [17]3 years ago
4 0
Sorry I'm a bit late but the answer would be c as zero would indicate the time in which the egg is 0 ft above the ground making the egg at ground height
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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
I need help i will give brainliest pls and also thanks
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