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Readme [11.4K]
4 years ago
6

What is 20 percent of 3500

Mathematics
1 answer:
Aleonysh [2.5K]4 years ago
4 0
20% = 20/100 = 1/5
1/5 of 3500
1/5 X 3500/1 = 3500/5
3500/5 = 700.
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Answer: 3 seconds

Step-by-step explanation:

Hi, the correct equation is d (t) = 144- 16 t²

So, to answer this question we have to analyze the information given:

When the car reaches the ground the distance, d (t) of the car from the ground is 0.

0 = 144- 16 t²

Solving for t:

16 t² =144

t²=144/16

t²= 9

t = √9

t = 3 seconds  

Feel free to ask for more if needed or if you did not understand something.  

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The region in the first quadrant bounded by the x-axis, the line x = ln(π), and the curve y = sin(e^x) is rotated about the x-ax
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First, it would be good to know that the area bounded by the curve and the x-axis is convergent to begin with.

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Let u=e^x, so that \mathrm dx=\dfrac{\mathrm du}u, and the integral is equivalent to

\displaystyle\int_{u=0}^{u=\pi}\frac{\sin u}u\,\mathrm du

The integrand is continuous everywhere except u=0, but that's okay because we have \lim\limits_{u\to0^+}\frac{\sin u}u=1. This means the integral is convergent - great! (Moreover, there's a special function designed to handle this sort of integral, aptly named the "sine integral function".)

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By the same substitution as before, we can write this as

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and replacing v=2u, \dfrac{\mathrm dv}2=\mathrm du, we have

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Like the previous, this require a special function in order to express it in a closed form. You would find that its value is

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4 years ago
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