Question | Answer | Hint |

| |

A. John paints a room in 3 hrs, Jim takes 7 hrs to paint it, how long will it take both working together? (Give the answer as a decimal.) | |

| |

B. How long will it take for 3 people working together to paint a room if the individual times are 3, 4, and 6 hours? (Answer as a decimal, rounded to the nearest tenth of an hour. | |

| |

C. What is the remainder when 87654327 is divided by 4? | |

| |

D. What is the radius of a circle with a 36^{o} sector area of 2.5π ? | |

| |

E. For what log base would log_{b} 729 = 3? | |

| |

F. Identify the integer whose reciprocal is represented by the decimal 0.142857, with all 6 digits after the decimal repeating. | |

| |

G. How many cones of height 5 ft and radius 5 ft, full of water, would it take to completely fill a sphere of radius 5 feet? | |

| |

H. What is the LCM of the monomials ab^{2}c^{3} and b^{3}c^{4}d^{5} | |

_{(Use carot (^) for exponents, do not use parentheses or multiplication signs)} | |

I. What is the point slope form of the equation of a line passing through ( -1, 3) with slope 5/7 ? | |

| |

J. What is the derivative with respect to t of ln (sin t) ? | |

| |

A. John paints a room in 3 hrs, Jim takes 7 hrs to paint it, how long will it take both working together? (Give the answer as a decimal.) | |

B. How long will it take for 3 people working together to paint a room if the individual times are 3, 4, and 6 hours? (Answer as a decimal, rounded to the nearest tenth of an hour. | |

C. What is the remainder when 87654327 is divided by 4? | |

D. What is the radius of a circle with a 36^{o} sector area of 2.5π ? | |

E. For what log base would log_{b} 729 = 3? | |

F. Identify the integer whose reciprocal is represented by the decimal 0.142857, with all 6 digits after the decimal repeating. | |

G. How many cones of height 5 ft and radius 5 ft, full of water, would it take to completely fill a sphere of radius 5 feet? | |

H. What is the LCM of the monomials ab^{2}c^{3} and b^{3}c^{4}d^{5} | |

I. What is the point slope form of the equation of a line passing through ( -1, 3) with slope 5/7 ? | |

J. What is the derivative with respect to t of ln (sin t) ? | |