A Pasta bar has a build your own pasta option. On this option, the menu lists 4 types of pasta noodles, 6 different vegetable choices, 4 meat choices, 3 cheeses and 3 sauces. Each customer who orders this option must choose 1 type of noodle and 1 type of sauce. The customer can choose as many of the vegetables as desired and up to to meats. If cheese is desired, the customer either specifies one of the cheeses or else opts fort the 3-cheese blend. How many different pasta dishes can be built?

Does a negative residual income amount equate : What do you think would be an acceptable return on investment in the current economic climate? Please explain. |

Total overhead variance : Actual overhead for June was $15,800 variable and $9,100 fixed, and standard hours allowed for the product produced in June was 3,000 hours. The total overhead variance is? |

Illustrate what amount of loss does cardinal recognize : The land had a basis to Cardinal Company of $1,000,000. Illustrate what amount of loss does Cardinal recognize in the exchange and what is Robin's basis in the land she receives? The distribution was non pro rata to Robin, a related person. |

What mass of sucrose should be combined : What mass of sucrose should be combined with 483 of water to make a solution with an osmotic pressure of 8.50 at 320 ? (Assume the density of the solution to be equal to the density of the solvent.) |

Counting problems and combinations : A Pasta bar has a build your own pasta option. On this option, the menu lists 4 types of pasta noodles, 6 different vegetable choices, 4 meat choices, 3 cheeses and 3 sauces. |

Illustrate what amount of income or loss from the boutique : Richard operates a hair styling boutique out of his home. 300 of the 1,200 square feet of floor space are allocated to the boutique. Other information. Illustrate w hat amount of income or loss from the boutique should Richard show on his return |

Essay on one unintended consequence of columbian exchange : Write an essay on one unintended consequence of the Columbian Exchange. |

What proportion have diastolic pressure is in range : Standard deviation of 12 what proportion of people have diastolic blood pressure less than 90. B. What proportion have diastolic pressure between 80 and 90. |

Counting problems and trees : In one residence, cell phones, lap top computers and digital tvs are very popular among students. In fact, all of the students own atleast one of these items, although onlu 15 own all 3. |

## Fahrenheit and standard deviationThe temperature(at a randomly selected time) is normally distributed with mean 83 degrees Fahrenheit and standard deviation 5 degrees. Find the following probabilities: |

## Systems of linear equations by graphingSolve the system of equations graphically. Then classify the system as consistent or inconsistent and the equation as dependent or independent. |

## Slope and find the intersectionFind the slope of the line 2x + y = 4. Find the point of intersection of the lines x + y = 5 and 3x - y = 7. Graph the pair of lines. |

## Graph curve under polar coordinatesUse a graphing device to graph the polar curve. Choose the parameter interval to make sure that you produce the entire curve. |

## Distance and graphing in 3d spaceFind the distance from the origin to the line passing through the point P(3,1,5) and having the direction vector v=2i-j+k. |

## Find appropriate probability spaceAppropriate probability space. Consider the experiment of choosing a whole number between 1 and 10, where the probability |

## Find probability that more than one machine is in the systemWhat is the probability that more than one machine is in the system? What is the probability that more than two are broken and waiting to be repaired or being serviced, as well as three and four machines? |

## Fixed point-mean value theoremA number (a) is called a fixed point of a function (f) if f(a)=a. Prove that, if f'(x) does NOT equal 1 for all real numbers (x), then f has at most one fixed point. |

## Determining and graphing the given functionsBob owns a watch repair shop. He has found that the cost of operating his shop is given by C(x) = 4x2-296x+85 , where c is cost and x is the number of watches repaired. How many watches must he repair to have the lowest cost? |

## Academic response to linear equationsWhy is it true that any two points satisfying a linear equation will give you the same graph for the line represented by the equation? |

## Find the moment of inertia of discExpress the volume of this region as a single triple integral in rectangular coordinates and Express this integral in terms of one or more integrals in the order dz dx dy. |

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