B = 40.95d + 50.70 .......
A nickel has a diameter of 21.21 mm and a thickness of 1.95 mm
<span>2.121 cm diameter </span>
<span>0.195 cm thickness </span>
<span>Think of a nickel as a cylinder </span>
<span>r = 2.121/2 = 1.0605 cm </span>
<span>V = pi * r^2 * h </span>
<span>V = pi * 1.0605^2 * 0.195 cubic cm </span>
<span>2 liters = 2000 cubic cm </span>
<span>2000 / (1.0605^2 * 0.195 * pi) => </span>
<span>2902.84713216 </span>
<span>Your upper limit is 2902, but it could be as little as 0 (for instance if the 2L bottle was only 1 cm wide, then you wouldn't be able to fit a single nickel in there) </span>
<span>I'd say that you could expect about a 70% packing efficiency, just off the top of my head </span>
<span>2900 * 0.7 => </span>
<span>290 * 7 => </span>
<span>300 * 7 - 10 * 7 => </span>
<span>2100 - 70 => </span>
<span>2030 </span>
<span>I'd expect around 2000 nickels would fill up the bottle quite nicely, supposing you can get the nickels into it.</span>
Answer:
think about what is in between 4 and 4.5
you could put 4.4, 4.3, 4.25, 4.1 etc.
iffx=3x−4findf1x0
Step 1: Add -3x to both sides.
f2ix+−3x=−4df2in+3x+−3x
f2ix−3x=−4df2in
Step 2: Factor out variable x.
x(f2i−3)=−4df2in
Step 3: Divide both sides by f^2i-3.
x(f2i−3)
f2i−3
=
−4df2in
f2i−3
x=
−4df2in
f2i−3
Answer:
x=
−4df2in
f2i−3
