Determine the quadratic number fields Q[sqrt(d)] that contain a primitive nth root of unity, for some integer n.

Explain how fast will it be moving after the man has pulled : When the crate is moving, the frictional force between the floor and the crate has a magnitude of 122.0 N. If the crate starts from rest, explain how fast will it be moving after the man has pulled it a distance of 2.30 m? |

Determining the factor of trinomial : Identify a factor of the following trinomial: 15u2 - 17u - 26-Identify a factor of the following trinomial: 17r2 - 48r + 28 |

Illustrate what is the lumberjacks speed relative to shore : If the lumberjack now trots toward the other end of the log with a speed of 2.7 m/s relative to the log, illustrate what is the lumberjack’s speed relative to the shore? |

State whether the standardized test statistic : Determining if null hypothesis will be rejected for given test statistics, State whether the standardized test statistic χ2 allows you to reject the null hypothesis for a two-tailed test with χ2 = 8.907 |

Quadratic number fields : Determine the quadratic number fields Q[sqrt(d)] that contain a primitive nth root of unity, for some integer n. |

Critique of the user manual : critique of the user manual for any one of the following software applications based on the document's organization, layout, use of visuals, and written instructions. |

Equations-pythagorean theorem-quadratics : Explain the five-steps for solving rational equations. Can any of these steps be eliminated? Can the order of these steps be changed? How might the Pythagorean theorem and distance formula be used in everyday life? |

What is the probability that two randomly selected : What is the probability that two randomly selected 40-year-old females will live to be 41 years old? What is the probability that five randomly selected 40-year old females will live to be 41 years old? |

Illustrate what is the force between them : The spheres are touched together and are then returned to their original separation d. Illustrate what is the force between them. |

## Solve the linear modelSelect five values for x to plug into the linear function, P(x)=10x-7 and prepare a table of values |

## Make a linear equationAssume you have a lemonade stand, & when you charge $1 per cup of lemonade you sell 50 cups. But when you raise your price to $2 you only sell 25 cups. Make an equation for the number of cups you sell as a function of the price you charge. Denote "C".. |

## Classify linear and non linear functionsFor each of the relationships given below, describe whether you think it is best explained by a linear function or a non-linear function. |

## Which of the following are functionsWhich of the following are functions? The two problems, i.e., 1 & 3, are multi part relations consider all parts when determining whether or not these relations are functions. Explain your reason for 1, 2, & 3. |

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