Mathematics B Regents High School Examination Worksheet - The University Of The State Of New York, 2004 Page 4
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x y
Use this space for
9 If log x = a, log y = b, and log z = c, then log
is equivalent to
computations.
z
1
1
2
(1) 42a + b + c
(3) a
+ b –
c
2
2
1
1
(2) 2ab – c
(4) 2a + b –
c
2
2
10 The accompanying diagram shows the elliptical orbit of a planet. The
foci of the elliptical orbit are F
and F
.
1
2
y
x
F
F
2
1
If a, b, and c are all positive and a ≠ b ≠ c, which equation could
represent the path of the planet?
2
2
2
2
2
(1) ax
– by
= c
(3) y = ax
+ c
2
2
2
2
2
2
(2) ax
+ by
= c
(4) x
+ y
= c
11 Battery lifetime is normally distributed for large samples. The mean
lifetime is 500 days and the standard deviation is 61 days.
Approximately what percent of batteries have lifetimes longer than
561 days?
(1) 16%
(3) 68%
(2) 34%
(4) 84%
12 The expression log
(8 – x) is defined for all values of x such that
3
(1) x > 8
(3) x < 8
(2) x ≥ 8
(4) x ≤ 8
[4]
Math. B – Jan. ’04
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