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Zolol [24]
3 years ago
11

A bacteria cell splits into two cells every hour. Write and evaluate an exponential expression to find how many cells there will

be in six hours. Then use your answers to help you find the number of hours it will take for there to be 1024 cells.
Mathematics
1 answer:
ryzh [129]3 years ago
4 0
Easy

equation is
f(x)=2ˣ

where x=number of hours elapsed

after 6 hours
f(6)=2⁶=64 bacteria


to solve for 1024

1024=2ˣ
take ln of both sides
ln(1024)=ln(2ˣ)
ln(1024)=x(ln(2))
divide both sides by ln(2)
ln(1024)/ln(2)=x
using calculator
10=x

or you could recognize that
1024=2¹⁰
or keep divising 1024 by 2


10 hours for 1024 bacteria

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I WILL GIVE BRAINLIEST FOR Correct Answer
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Part A) Find BC, the distance from Tower 2 to the plane, to the nearest foot.

in the triangle ACD
sin16=CD/(7600+BD)--------> CD=sin16*(7600+BD)---------> equation 1 

in the triangle BCD
sin24=CD/BD-----------> CD=sin24*BD---------------> equation 2
equation 1=equation 2
sin16*(7600+BD)=sin24*BD-----> sin16*7600+sin16*BD=sin24*BD
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the answer part 1) BC is 17491 ft

Part 2) Find CD, the height of the plane from the ground, to the nearest foot.

CD=sin24*BD        ( remember equation 2)
BD=15979 ft
CD=sin24*15979 -----------> CD=6499 ft

the answer part 2)  CD is 6499 ft
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3 years ago
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Answer:

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Step-by-step explanation:

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