Four commuter trains and three express buses depart from City A to City B in the morning, and three commuter trains and three express buses operate on the return trip in the evening. In how many ways can a commuter from City A to City B complete a daily round trip via bus and/or train?

Surface air pressure : If the surface air pressure is the same everywhere, but a mass of cold air is situated next to a mass of warm air, the pressure at high altitudes is: |

State compartmentalized within the membrane-bound peroxisome : Why is it an advantage to the cell that enzymes that generate as well as break down hydrogen peroxide (catalase) are compartmentalized within the membrane-bound peroxisome? |

How many members of the club plan to attend : 150 members indicated that they plan to attend the next Summer Olympic Games, and 90 indicated that they plan to attend the next Winter Olympic Games. How many members of the club plan to attend. |

What if the bedding is no longer horizontal : Typically we base the location of the fossil on where we find it in bedding. The bedding is usually horizontal with the younger material on top and the older material underneath. What if the bedding is no longer horizontal? |

In how many ways can a commuter from city a to city b : Four commuter trains and three express buses depart from City A to City B in the morning, and three commuter trains and three express buses operate on the return trip in the evening. In how many ways can a commuter from City A to City B complete a.. |

Fossils offers evidence for the theory of continental drift : How do fossils help scientists piece together the "family tree" of a given plant or animal? How do fossils provide evidence for the theory of continental drift? |

House of representatives chooses a president : When no candidate wins a majority in the electoral college, the House of Representatives chooses a president from |

A concept of natural selection explain variations in species : What lands and observations inspired Darwin to develop his theory of evolution? How does the concept of natural selection explain variations in species descended from a common ancestor? |

Proportional representation systems : Which of the following is true about proportional representation systems? |

## Function and linear modelsIn 2006, Jenny began selling magazines. The company sold Jenny a beginning packet for $250.00. Jenny's cost for each magazine is 10% of the sales price. |

## Vectors-work and orthogonal vectorsFind the small positive angle from the positive X-axis to the vector OP that corresponds to (3,3). Find the work done by the constant force 4i-2j if the point of application moves along the line segment from P(1,1) to Q(5,7) |

## Operations supply management-learning curveA time standard was set at 0.20 hour per unit based on the 50th unit produced. If the task has a 90% learning curve what would be the expected time of the 100th, 200th and 400th unit? |

## Maximal interval of existence of initial value problemPlease solve the following initial value problem: We solve the initial value problem using separation of variables. We use partial fractions to solve for the integral of 1/(x^2-4). |

## Minimum sample size analysisOne researcher wishes to estimate the mean number of hours that high school students spend watching TV on a weekday. A margin of error of 0.25 hour is desired. Past studies suggest that a population standard deviation of 1.7 hours is reasonable. |

## Equilateral triangle-octagon inscribed in circlesAn equilateral triangle with sides of length 10 is inscribed in a circle. Find the distance from the center of the circle to any side of the triangle. |

## Linear equations and constraintsSolve equations and systems of equations in two variables, formulate real-world problems in terms of linear equations and solve these systems by several commonly applied methods. |

## Find the probability for exactly two coins are tailsSuppose three fair coins are flipped. Find the probability for each of the following events. Exactly two coins are tails. |

## Algebra-point of intersectionTwo trains leave stations 75 miles apart at the same time heading toward one another on parallel tracks. Train A is traveling 60 miles per hour, while Train B is going 65 miles per hour. |

## Gradient of function using quotient ruleUsing the Quotient rule, find the gradient of the function: |

## Exponential population growth-predict the populationsAssuming exponential population growth, predict the populations of China and the U.S. in the years 2100 and 2200. Assuming exponential population growth, approximately when will China's population double? |

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