A cowboy at a ranch fills a water trough that is 1.1 m long, 68 cm wide, and 44 cm deep. He uses a hose having a diameter of 2.3 cm, and the water emerges from the hose at 2.5 m/s. How long does it take the cowboy to fill the trough?

## Use differentials to estimate the amount of paint neededUse differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a hemispherical dome with a diameter 50m. (Answer should be in cubic meters, rounded to two decimal places.) |

## What was its charge for depreciation and amortizationPearson Brothers recently reported an EBITDA of $6.5 million and net income of $1.95 million. It had $2.21 million of interest expense, and its corporate tax rate was 35%. What was its charge for depreciation and amortization? |

## Prove there are (2n)n! different matrix sLet A be an n × n matrix with eigen values 1, 2, · · · , n. Prove there are (2 n )n! Different matrix S with the property that the length of each column vector of S is 2 such that (S -1 )AS is diagonal. |

## What is the predicted height in feet of a treeWhat is the predicted height in feet of a tree that produces 88 pounds of oranges? |

## Explanation to statistics and probabilityExplanation to "Statistics - Probability" question Suppose you randomly place 'r' indistinguishable balls into 'n' boxes. (a) how many different ways do you have |

## An expression that represents this scenarioWrite and simplify an expression that represents this scenario. |

## The monthly paymentNaiela received a 125-days promissory note for $20,202 which is matured on 7th august 2014 with a simple interest rate of 5.8% per annum. She later discounted the note 66 days before the maturity date and obtained $20,176.48. |

## Determine the critical points domain endpoints and extremefind the critical points domain endpoints and extreme values absolute and local for each function.yx23x2-4y4-2x for |

## Question regarding system of inequalitiesGive a real-life example of a situation in which you would use a system of inequalities, and for which the solution must be in the first quadrant. |

## What selling price should be chargea retailer wants a 30% markup on the selling price of an item that costs him $214.90. what selling price should be charge? |

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