Write with rational exponents and then apply the properties of exponents. Assume that all radicands represent positive real numbers. Give answers in exponential form.
? 
A. x9/7
B. x29/12
C. x12/14
D. x14/12
Answer: B
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Factor completely. If unfactorable, indicate that the polynomial is prime.x2 + 39x + 40
A. (x + 8)(x - 5) B. (x - 8)(x + 5) C. (x + 40)(x - 1) D. prime
Factor the sum or difference of two cubes completely.576x3 + 243
A. 9(4x + 3)(16x2 - 12x + 9) B. 9(64x3 + 27) C. 9(4x + 3)(16x2 + 9) D. 9(4x - 3)(16x2 + 12x + 9)
Solve the problem.Electrical systems are governed by Ohm's law, which states that , where
,
, and
. If the current in an electrical system is decreasing at a rate of
while the voltage remains constant at 10 V, at what rate
is the resistance increasing when the current is 24 A?
A. ohms/s
B. ohms/s
C. 15 ohms/s
D. ohms/s
Solve triangle ABC. If necessary, round the answer to the nearest tenth.
A. B = 36.8°, b = 280.3 ft, c = 350 ft B. B = 37.2°, b = 350 ft, c = 283 ft C. B = 37.2°, b = 29.2 ft, c = 23.7 ft D. B = 37.2°, b = 283 ft, c = 350 ft