How many different ways can 28 runners place in an Olympic qualifying marathon?

If only the eight fastest runners advance to the Olympics; how many different ways can the eight fastest runners be chosen from the whole field of 28 runners?

If the runner in first place receives a gold medal, the runner in second place receives a silver medal, and the runner in third place receives a bronze medal, how many different ways can the three medalists be chosen from the entire field of 28 runners?

How many electrons flow past a given cross section of wire : A current of 75.0 mA exists in a metal wire. How many electrons flow past a given cross section of the wire in10.8 min |

Explain the behavior of the function as the variable x : Suppose a rational function R(x) has the horizontal asymptote y=3/2. Explain the behavior of the function as the variable x increases without bound |

How much charge is contained in a section of the line : The electric field 0.465m from a very long uniform line of charge is 800N/C. How much charge is contained in a section of the line of length 2.90 cm |

Evaluate what is the speed of the proton : At time t=0 a proton is a distance of 0.360 m from a very large insulating sheet of charge and is moving parallel to the sheet with speed 990m/s. What is the speed of the proton at 5.00×108s |

Eight fastest runners advance to the olympics : If only the eight fastest runners advance to the Olympics; how many different ways can the eight fastest runners be chosen from the whole field of 28 runners? |

How could short-term transitional costs be handled : What are some of the reasons why there is such a significant decline in growth rate and define and explain how these three key economic indicators are calculated. |

Compute how many excess electrons must be distributed : How many excess electrons must be distributed uniformly within the volume of an isolated plastic sphere 27.0cm in diameter to produce an electric field of 1050N/C just outside the surface of the sphere |

Determine what are their speeds at that time : At t = 0, one toy car is set rolling on a straight track with initial position 15.5 cm, initial velocity -2.9 cm/s, and constant acceleration 2.10 cm/s2. What are their speeds at that time |

Mrs.blair will select a president and vice president : Mrs.blair will select a president and Vice President from a group of 8 members. How many different ways can a president and Vice President be chosen from the group |

## Find the volume of solid lying under elliptic paraboloidfind the volume of the solid lying under the elliptic paraboloid x^2/4+y^2/9+z=1 and above the rectangle R = [-1,1]x[-2,2] |

## Find the amount of each payment to be madeDetermine the amount of each payment to be made to a sinking fund in order to pay off a $120,000 loan in 8 1/2 years when the funds earn interest |

## How far from the vertex should marks be placedan inverted cone of revolution whose slant height is 15 cm. holds a liter of liquid. how far from the vertex should marks be placed on the slant height to indicate 1 milliliter? |

## Set operations and venn diagrams please respond to theset operations and venn diagrams please respond to the followingcreate a story problem that demonstrates how a venn |

## What is the value of the automobileThe value of an car after t years is given by the function V(t)=25,000-1500t. What is the value of the automobile 3 years after it is purchased? |

## Question let fx x2 x 12 what is the value of fx forquestion let fx x2 x 12. what is the value of fx for which the tangent line to the graph of y fx is parallel to the |

## What is the revenue functionany has fixed cost of 300$ and variable cost of 3/4x + 1460$/unit where x is total number of units produced. The selling price of it's product Is 1500-1/4x $/ unit. What is the cost function? What is the revenue function? |

## Compute working capital and the current ratioCompute working capital and the current ratio for both companies and on the basis of your answers to (1), which company appears to be more liquid? |

## Jason inherited a piece of land from his great-uncleJason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in.. |

## Manufacturer of mp3 players is preparing to set the pricemanufacturer of mp3 players is preparing to set the price on a new model.demand is thought to depend on the price and |

## What is the machine precision epsDetermine (exactly!) the relative error E of x* as an approximation to x? and calculate the ratio l~l/eps. |

## State snookers lumber can convert logs into either lumberSnookers lumber can convert logs into either lumber or plywood. In a given day, the mill turns out three times as many units of plywood as lumber |

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