An airplane is f lying horizontally at a speed of 500 mph at an elevation of 10,000 feet toward an observer on the ground. Find the rate of change of the angle of elevation of the airplane from the observer when the angle of elevation is 45 degrees? (Give answer in radians per minute.)

## Find the equilibria of the system of the first two equationsverify that E is a constant of motion for the system of the first two equations and find the equilibria of the system of the first two equations |

## Calculate labor productivity and capital productivityCalculate Labor productivity and Capital productivity - The problem belongs to Mathematics and it discusses about calculation of labor productivity and capital productivity in a factory. |

## Compute the test statistics used to test the null hypothesisCompute the test statistics used to test the null hypothesis that p1=p2. A report on the nightly news broadcast stated that 15 out of 140 households with pet dogs were burglarized and 20 out of 180 without pet dogs were burglarized. |

## What is the diameter of the semicircleSuppose that 166 ft of fencing are used to enclose a corral in the shape of a rectangle with a semicircle whose diameter is a side of the rectangle. What is the diameter of the semicircle and the side of the rectangle? |

## Systems of equations-substitution or eliminationSystems of equations can be solved by graphing or by using substitution or elimination. What are the pros and cons of each method? What circumstances would cause you to use a different method? |

## How many trees should planted to maximize the yieldAn apple orchard has an average yield of 32 bushels of apples/tree if tree density is 24 trees/acre. For each unit increase in tree density, the yield decreases by 4 bushels/tree. How many trees should be planted in order to maximize the yield? |

## Compare the mean of the sample means with population meanCompare the mean of the sample means with the population mean. |

## Determine the weightings to use in a weightedHow do you determine how many observations to average in a moving average model? How do you determine the weightings to use in a weighted moving average model? |

## If in his sample 12 people voted find the probability ofmr. jones wants to study voting patterns. he calculated that on average 60 of adults vote. he obtained a random sample |

## State reflection are said to be translation congruentFigures that correspond under a translation, rotation, or reflection are said to be translation congruent, rotation congruent, or reflection congruent. Position two congruent figures on a piece of paper to satisfy |

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