29. The equivalent resistance, Reg, of four resis- tors, R,, R2, R3, and R4, that are connected eq in parallel is given by: Rea 1 1 1 + R R2 R, R = 1202, R2 = 2202, R, = 752, and R, : = 1300. Calculate Re, if R

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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27. The number of combinations C, of taking r objects out of n objects is given
by:
n!
Cn rl(n-r)!
(a) Determine how many combinations are possible in a lottery game for
selecting 6 numbers that are drawn out of 49.
(b) Using the following formula, determine the probability of guessing two
out of the six drawn numbers.
C9,6
(Use the built-in function factorial.)
28. The formula for changing the base of a logarithm is:
log N
log a
logaN
(a) Use MATLAB's function log (x) to calculate log, 0.085.
(b) Use MATLAB's function log10 (x) to calculate log, 1500.
29. The equivalent resistance, Reg, of four resis-
tors, R1, R2, R3, and R4, that are connected
in parallel is given by:
eq
Rea
1
+-+
R R2 R3 R4
1
1
+
Calculate R, if R, = 1202, R2 = 2202, R, = 750 , and R, = 1302 .
%3D
30. The voltage Vc t seconds after closing the switch in
the circuit shown is:
Ve = Vo(1 -eRC) )
Given Ve = 36 V, R = 2500 2, and C = 1600 µ F,
calculate the current 8 seconds after the switch is
closed.
31. Radioactive decay of carbon-14 is used for estimating the age of organic
material. The decay is modeled with the exponential function At) = A0)et",
where t is time, f0) is the amount of material at t = 0, ft) is the amount of
material at time t, and k is a constant. Carbon-14 has a half-life of approxi-
mately 5,730 years. A sample taken from the ancient footprints of Acahual-
inca in Nicaragua shows that 77.45% of the initial (t = 0) carbon-14 is
Transcribed Image Text:27. The number of combinations C, of taking r objects out of n objects is given by: n! Cn rl(n-r)! (a) Determine how many combinations are possible in a lottery game for selecting 6 numbers that are drawn out of 49. (b) Using the following formula, determine the probability of guessing two out of the six drawn numbers. C9,6 (Use the built-in function factorial.) 28. The formula for changing the base of a logarithm is: log N log a logaN (a) Use MATLAB's function log (x) to calculate log, 0.085. (b) Use MATLAB's function log10 (x) to calculate log, 1500. 29. The equivalent resistance, Reg, of four resis- tors, R1, R2, R3, and R4, that are connected in parallel is given by: eq Rea 1 +-+ R R2 R3 R4 1 1 + Calculate R, if R, = 1202, R2 = 2202, R, = 750 , and R, = 1302 . %3D 30. The voltage Vc t seconds after closing the switch in the circuit shown is: Ve = Vo(1 -eRC) ) Given Ve = 36 V, R = 2500 2, and C = 1600 µ F, calculate the current 8 seconds after the switch is closed. 31. Radioactive decay of carbon-14 is used for estimating the age of organic material. The decay is modeled with the exponential function At) = A0)et", where t is time, f0) is the amount of material at t = 0, ft) is the amount of material at time t, and k is a constant. Carbon-14 has a half-life of approxi- mately 5,730 years. A sample taken from the ancient footprints of Acahual- inca in Nicaragua shows that 77.45% of the initial (t = 0) carbon-14 is
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