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Travka [436]
4 years ago
11

The amount of stretch in a short bungee cord stretches 6 inches when stretched by a 3pound weight. A slinky stretches 3 feet whe

n stretched by a 1 pound weight. State which situation has the greatest rate of change
Mathematics
1 answer:
aleksklad [387]4 years ago
6 0

Answer:

The slinky situation

Step-by-step explanation:

To make a rate, divide one value by the other.

For the short bungee,

6 inches ÷ 3 pound = 2 inches per pound

While the slinky,

36 inches (remember to convert feet to inches) ÷ 1 pound = 36 inches per pound

As you can tell by the numbers, 36 inches per pound is way better than the 2 inches per pound.

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A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the
zlopas [31]
1. The function h(t)=-16t^{2}+48t is a parabola of the form ax^{2}+bx. The the formula for the axis of symmetry of a parabola is x= \frac{-b}{2a}. We can infer from our function that a=-16 and b=48, so lets replace those values in our formula:
x= \frac{-b}{2a}
x= \frac{-48}{-2(16)}
x= \frac{-48}{-32}
x= \frac{3}{2}
x=1.5
We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.

2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:
0=-16t^{2}+48t
-16t(t-3)=0
t=0 or t-3=0
t=0 or t=3
From our previous point we know that the ball reaches its maximum time at t=1.5, which means that <span>it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.</span>

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3 years ago
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Can someone please help me with this question?
saw5 [17]
(0, 9) represents the y-intercept of the graph.

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The perimeter of a rectangular painting is 262 centimeters. If the width of the painting is 59 centimeters, what is its length?
Liula [17]
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What is the value of the expression 10 (n minus 6) when n = 14?
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Answer:

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Step-by-step explanation:

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10 x 8 = 80.

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Answer:

Step-by-step explanation:

easy

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