Given:
t = 1/2 √v
v = speed of object meters per second
t = 3 seconds
3 = 1/2 √v
3 * 2 = √v
6 = √v
6² = √v²
36 meters = v
v = 36 meters per second
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▹ Answer
<em>d. 7/20</em>
▹ Step-by-Step Explanation

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1.0
As x -> 0 2x -> 0, SqRt(2x) -> 0 & 3 SqRt(2x) -> 0
Hence:
3 SqRt(2x) + 1 -> 1.0
Answer: 9
Step-by-step explanation: In this problem, we're going to evaluate a² + b knowing that <em>a</em> = -2 and <em>b</em> = 5.
So the first thing we want to do is substitute these numbers into our problem.
Since <em>a</em> = -2, we will replace <em>a</em> with a -2 and as we do that, we will put that -2 in parentheses and square it since we have a². Squaring a number just means multiplying a number by itself so (-2)² is equal to 4 since a negative multiplied by a negative gives us a positive.
Now we will replace <em>b</em> with 5 and now we have the following.
4 + 5 simplifies to 9.
Answer:
Alan can buy the bike for $109.85
Step-by-step explanation:
Start with 100% and subtract the 35% discount. This results in 65%. The bike sells for 65% of $169, which is calculated as follows:
0.65($169) = $109.85
Alan can buy the bike for $109.85 under the terms of this sale.