Factor completely. If the polynomial cannot be factored, write "prime."27x2 - 117x - 90
A. 9(3x + 2)(x - 5)
B. (3x + 2)(9x - 45)
C. 9(3x - 2)(x + 5)
D. (27x + 18)(x - 5)
Answer: A
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Use the limit comparison test to determine if the series converges or diverges.
A. Converges B. Diverges
Solve the problem.The position of a particle moving along a coordinate line is s = with s in meters and t in seconds. Find the particle's acceleration at
A. - m/sec2
B. - m/sec2
C. m/sec2
D. m/sec2
Provide an appropriate response.Starting with a tone having a frequency of 193 cycles per second, find the frequency of the tone that is two octaves higher.
A. 1544 cps B. 579 cps C. 37,249 cps D. 772 cps
Solve the problem.The number of milligrams of a certain compound, C, produced in a chemical reaction with temperature at x, in degrees Celsius, can be modeled by the formula C = 0.013x2 - 1.19x + 28.24.According to the formula, at what temperatures is the chemical reaction expected to produce 8 milligrams of the compound? Use a calculator and round answers to the nearest milligram.
A. 68 ° C and 24 ° C B. 70 ° C and 22 ° C C. 68 ° C and 22 ° C D. 69 ° C and 23 ° C