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3 years ago

How long would it take for an egg dropped from a helicopter to fall 256 feet to the ground? d=16t^2

1 answer:

7 0

Well the position function is:

h(t)=-16t^2+256

It will hit the ground when h(t)=0

-16t^2+256=0 factor out -16

-16(t^2-16)=0 factor difference of squares...

-16(t+4)(t-4)=0, since t>0

t=4 seconds

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The number of ants in his farm after 12 weeks is 218.

Step-by-step explanation:

Step 1:

It is given that there are 15 ants initially and the ant population increases by 25% each week.

This is an exponential rate of increase that can be modeled by the following equation:

Number of ants after n weeks = Initial number of ants * $(1 + rate of increase) ^{n}$

Step 2:

Rate of increase = 25% = 25 / 100 = 0.25

Number of weeks = 12

Number of ants after 12 weeks = 15* $(1 + 0.25 )^{12}$ = 218.27 (rounded off to 218)

Step 3:

Answer:

The number of ants in his farm after 12 weeks is 218.

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