For this case we have the following equation:
Where,
w: The weight of a spring in pounds
E: the energy stored by the spring in joules.
Substituting values we have:
Making the corresponding calculation:
Answer:
the approximate weight of the spring in pounds is:
<h3><u>Original Rate</u> <u>Unit Rate</u> </h3>
90 Miles 45 Miles
2 Hours 1 Hour
Answer: <u><em>The Train travels 45 miles in one hour.</em></u>
How i got the answer? I divied the 90 by 2 because we already know the miles/hour for 2 hours and we need 1 hour.
<em><u>Give Brainliest If You Please</u></em>
Explanation:
When the points are plotted on a graph, it is easy to see that the slope of AC is -2 and the slope of BC is 1/2. These slope values have a product of -1, so the corresponding line segments are perpendicular to each other.
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If you have studied vectors, you can find the dot product of AC with BC:
AC = (-5, 3) -(-2, -3) = (-3, 6)
BC = (6, 1) -(-2, -3) = (8, 4)
The dot product is ...
(-3, 6)·(8, 4) = (-3)(8) + (6)(4) = -24+24 = 0
When the dot product of vectors is zero, they are perpendicular.
Answer:
5 seconds
Step-by-step explanation:
Looking at your function (h(t) = -16t^2 + 48t + 160), I see that the peak height will be 196 feet, and that is achieved in 1.5 seconds.
h(1.5) = -16(1.5)^2 + 48(1.5) + 160
h(1.5) = -16(2.25)+ 48(1.5) + 160
h(1.5) = -36 + 48(1.5) + 160
h(1.5) = -36 + 72 + 160
h(1.5) = 36 + 160
h(1.5) = 196
Going down from that height, it would take 3.5 more seconds, so it would take 5 seconds in total
h(5) = -16(5)^2 + 48(5) + 160
h(5) = -16(25) + 48(5) + 160
h(5) = -400 + 48(5) + 160
h(5) = -400 + 240 + 160
h(5) = -400 + 400
h(5) = 0
I believe the answer would be D. Because, 10*12= 120 and 400/120= 3.33
Since you are talking about money, you would round up.
Meaning that the answer should be D.
