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math b

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Exam of 11 pages for the course math b at math b (math b)

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math b GRADE A Q&A
Which equation is equivalent to logx(36)=2? - (correct answer)x2=36


What is the value of mc005-1.jpg? - (correct answer)-2



What is the value of log 43? Use the calculator. Round your answer to the nearest tenth.
- (correct answer)1.6



Which logarithmic equation is equivalent to 32 = 9? - (correct answer)2=log2(9)



The intensity, or loudness, of a sound can be measured in decibels (dB), according to
the equation mc026-1.jpg, where I is the intensity of a given sound and I0 is the
threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when mc026-
2.jpg? Use a calculator. Round to the nearest whole number. - (correct answer)320



What is the value of mc003-1.jpg? - (correct answer)2



A Cepheid star is a type of variable star, which means its brightness is not constant. The
relationship between the brightness of a Cepheid star and its period, or length of its
pulse, is given by M = -2.78(log P) - 1.35, where M is the absolute magnitude, or
brightness, of the star, and P is the number of days required for the star to complete one
cycle. What is the absolute magnitude of a star that has a period of 45 days? Use a
calculator. Round your answer to the nearest hundredth. - (correct answer)-5.95



Which expression can be used to approximate the expression below, for all positive
numbers a, b, and x, where a mc001-1.jpg 1 and b mc001-2.jpg 1?

loga(x) - (correct answer)logb(x)/logb(a)



Kim solved the equation below by graphing a system of equations.

, mc020-1.jpg



What is the approximate solution to the equation? - (correct answer)1.4



An angle whose measure is -302° is in standard position. In which quadrant does the
terminal side of the angle fall? - (correct answer)Quadrant I



An angle whose measure is 40° is in standard position. In which quadrant does the
terminal side of the angle fall? - (correct answer)Quadrant I



Which of the following represents the measures of all angles coterminal with a 418°
angle? - (correct answer)58 + 360n, for any integer n



Angle D has a measure between 0 and 360 and is coterminal with a -920° angle. What
is the measure of angle D? - (correct answer)160°



An angle whose measure is 92° is in standard position. In which quadrant does the
terminal side of the angle fall? - (correct answer)Quadrant II



Which expression converts pi/4 radians to degrees? - (correct answer)pi/4*180/pi



Which of the following are in the correct order from least to greatest? - (correct
answer)38,pi/4,80, 7pi/6, 2pi


What is the approximate length of arc s on the circle below? Use 3.14 for mc024-1.jpg.
Round your answer to the nearest tenth.



mc024-2.jpg - (correct answer)6.3 in

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