Answer:
Step-by-step explanation:
The length of one revolution of the sprocket is ...
C = 2πr = 2π(1.5 in) = 3π in
Then the length of 3250 revolutions is ...
3250(3π in) = 30,630.53 in
About 30,631 inches of chain travel past the sprocket in one minute.
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There are 12 inches in a foot, so the number of feet is ...
30,630.53 in/(12 in/ft) = 2552.54 ft
About 2553 feet of chain travel past in one minute.
Descriptions 1, 2, 3, and 5 are accurate, though 5 is ambiguous.
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Description 4 goes with (7x)² = 49x², not 7x².
Description 6 goes with 5·8 + x² + (2x + 8) = x² +2x +48, not 40x² +100x +40.
The description for 5 is accurate, but could also be applied to y² + 3(y - 4), which is why it can be considered to be ambiguous. There are a number of ways to resolve the ambiguity, but they were not used here.
Oooh, looks fun
ok
erm
we might want to know some properties


if

where a=a, then assume m=n

so



minus 17*2^x both sides

use u subsitution, u=2ˣ

solve

or

ac method
2 times 8=16
what 2 number multiply to get -17 and add to get 16
-16 and -1
2u²-1u-16u+8=0
(2u²-1u)+(-16u+8)=0
u(2u-1)+(-8)(2u-1)=0
(u-8)(2u-1)+0
u-8=0
u=8
2u-1=0
2u=1
u=1/2
now
u=2ˣ
8=2ˣ

3=x
and


-1=x
x=-1 and 3
neat problem
The odds are Rarely for two people