Assuming Earth's gravity, the formula for the flight of the particle is:
s(t) = -16t^2 + vt + s = -16t^2 + 144t + 160.
This has a maximum when t = -b/(2a) = -144/[2(-16)] = -144/(-32) = 9/2.
Therefore, the maximum height is s(9/2) = -16(9/2)^2 + 144(9/2) + 160 = 484 feet.
Answer:
80/140 = (80:20)/(140:20) = 4/7
4/7 = (4*4)/(7*4) = 16/28
4/7 = (4*5)/(7*5) = 20/35 not 20/28 not 20/32
4/7 = (4*5.5)/(7*5.5) = 22/38.5 not 22/37
Harvey is 3 times as old as Jane."
<span>h = 3j </span>
<span>"The sum of their ages is 48 years." </span>
<span>h + j = 48 </span>
<span>substitution </span>
<span>(3j) + j = 48 </span>
<span>4j = 48 </span>
<span>j = 12 </span>
<span>h = 3j = 36</span>
Answer:
526.39 million
Step-by-step explanation:
The exponential equation can be written as ...
p(t) = 471.56(492.53/471.56)^(t/10)
Then p(25) ≈ 525.75 . . . . million
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The closest answer choice is 526.39 million.
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<em>Comment on the answer choice</em>
Reverse-engineering the answer, we find it was computed using the exponential equation ...
p(t) = 471.56e^(0.0044t)
p(25) = 471.56·1.116278 ≈ 526.39
The k factor in the exponent is <em>inappropriately rounded</em> from 0.004350903. You cannot use a 2-significant-figure constant to arrive at an accurate 5-significant-figure answer.