Regents High School Examination Mathematics Worksheet - University Of The State Of New York Page 4
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28Use this space for
computations.
9 The equation used to determine the time it takes a swinging pendulum
T = 2 π
to return to its starting point is
, where T represents time,
g
in seconds,
represents the length of the pendulum, in feet, and g
2
equals 32 ft/sec
. How is this equation expressed in logarithmic form?
T =
+
π
+
−
(1)
log
log
2
log
log
32
T =
+
π
+
1
−
1
log
log
2
log
log
log
32
(2)
2
2
T =
+
π
+
−
1
(3)
log
log
2
log
log
log
16
2
T =
+
π
+
1
−
log
2
log
log
16
(4)
2
10 Which type of function could be used to model the data shown in the
accompanying graph?
Radioactive Decay of Carbon-14
100
75
50
25
0
5.7
11.4
17.1
22.8
Time (thousands of years)
(1) exponential
(3) trigonometric
(2) quadratic
(4) linear
11 Under a dilation with respect to the origin, the image of P(−15,6) is
P′(−5,2). What is the constant of dilation?
(1) −4
(3) 3
1
(2)
(4) 10
3
[4]
Math. B – Aug. ’07
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