In your industrial oven, you bake two baking sheets with 15 scones each, two baking sheets with 14 cookies each, and one baking sheet with 8 scones and 12 cookies.

Write an algebraic expression that is translates precisely from the wording in the information above for the total cost of all baked goods in the scenario above using the variable s to represent the cost of scones and the variable c to represent the cost of cookies.

How many inches does each side measure : The sum of all of the sides of a stop sign is 96 inches. A stop sign is an octagon with all sides equal. How many inches does each side measure? |

Find the longest of the real-life distances : A triangle drawn on a map has sides of lengths 9.0 cm, 10 cm, and 15 cm. The shortest of the corresponding real-life distances is 93 km. Find the longest of the real-life distances. If necessary, round your answer to the nearest unit. |

Compute the breakeven point : Micromedia offers computer training seminars on a variety of topics. In the seminars each student works at a personal computer, practicing the particular activity that the instructor is presenting. |

What dimensions will maximize the total area of the pen : Suppose that you have 500m of fencing with which to build four adjacent rectangular corrals. What dimensions will maximize the total area of the pen? |

Write an algebraic expression : In your industrial oven, you bake two baking sheets with 15 scones each, two baking sheets with 14 cookies each, and one baking sheet with 8 scones and 12 cookies. |

Rmine for what value of the ball reaches maximum height : Determine for what value of the ball reaches the maximum height and determine this maximum height. |

How much will it cost to build a 90-foot tower : A person hired a firm to build a CB radio tower.The firm charges $100 for labor for the first 10 feet. After that, the cost of the labor for each succeeding 10 feet is $25 more than the preceding 10 feet. That is, the next 10 feet will cost $125, .. |

Depict a sheme o both reactions inlcuding structures : draw a sheme o both reactions inlcuding structures and names of all possible products of monosubustitution only. Choose one reaction and provide appropriate mechanism including all resonance strucutres. |

Evaluate the hardness values : How long will it take for 100% pearlite to form at 650 °C and at 600 °C? Estimate the hardness values resulting from these transformations. |

## Determining round-off errorUsing MatLab, compute H^-1H for various n between 5 and 15. Describe the results and comment on the difference between the MatLab output and what is expected the answer to be |

## What number represents the total net yardageon three consecutive passes, a football team gains 9 yards, loses 16 yards, and gains 30 yards. What number represents the total net yardage? |

## Find the percentage increaseThe price of a gallon of unleaded gas has risen to today. Yesterday's price was . Find the percentage increase. Round your answer to the nearest tenth of a percent. |

## Directional derivative of functionFind the directional derivative of the function at the given point in the direction of the vector v. |

## Prove that the set of natural numbersProve that the set of natural numbers will be a ring by using ring definition - set of natural numbers |

## What is the slack time in each departmentHow many hours of production time will be scheduled in each department? |

## Determining greatest common divisorPlease respond to the following question: Find the greatest common divisor of the following polynomials over F, the field of rational numbers: |

## Find a 98% confidence interval for the mean body temperatureThe normal body temperature measured by placing the thermometer under the tongue is assumed to be normally distributed with a standard deviation of 0.7oC. Body temperatures of 52 subjects were recorded and the average is 36.83oC. |

## Formulate objective function-constraintA firm has two fixed resources that impose limits on its production activities. For a particular period of time it has 30 hours of resource 1 available and 80 hours of resource 2. |

## Determining washer methodUse the washer method to find the volume of the solid of revolution formed by revolving the region bounded by f (x)= 3x^2 and g (x)=2x+1 about the x-axis. |

## Evaluating for orthogonal intervalShow that the functions 1, x and cosx are orthogonal on the interval -(pi) |

## What does the shadow price reflect in a maximization problemHow do the graphical and computer-based methods of solving LP problems differ? In what ways are they the same? Under what circumstances would you prefer to use the graphical approach? |

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