Answer:
The correct answer is: a= -32
It would only be 1 second.
<span><span>h<span>(1)</span></span>=<span><span>−<span>16<span>(<span>1^2</span>)</span></span></span>+<span><span>(640)</span><span>(1)
After simplification, the answer would be h = 624.
If you substituted 2 for t, you would see that h would get smaller. Each time you increased t, h would get smaller.
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Answer:
197.2 million
Step-by-step explanation:
The appropriate exponential equation for the population is ...
p(t) = 172.0e^(0.019t)
Then we can compute for t=7.2:
p(7.2) = 172.0e^(0.019·7.2) ≈ 172.0·1.146599 ≈ 197.2
7.2 minutes from now, the population will be about 197.2 million.
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For continuous growth (or continuous compounding), the exponential formula is ...
f(t) = (value at t=0)×e^(rt)
where r is the growth rate in one unit of time, and t is the number of time periods.
Answer:
4/3
Step-by-step explanation:
Given function = p(x) = (6x-4)/x
First we will calculate p(1) and p(3)
p(1) = (6(1) - 4)/1 = 6-4 = 2
p(3) = (6(3) - 4)/3 = (18-4)/3 = 14/3
Rate of change on interval [1,3] = [p(3) - p(1)]/(3-1)
=> (14/3 -2)/(2)
=> (14-6)/(3*2)
=> 8/6
=> 4/3
So average rate of change is 4/3
