An airplane is traveling with an airspeed of 420 mph and a heading of 72 degrees. a wind of 32 mph is blowing at a heading of 130 degrees. find the ground speed and the course of the airplane.

Sketch a graph showing the relationship between the number : An average school bus holds 45 people. Sketch a graph showing the relationship between the number. |

What are retained earnings for last year : What are retained earnings for last year and how much debt will be needed for the new project |

How far will the ball travel during the third second : A ball has been dropped from the top of a building. Its height (in feet) after t seconds is given by the function H(t) = =16t^2+256. How far will the ball travel during the third second? |

What is the purchasing power of the present value : Jerry will receive the following payments: 905 in year 3, 952 in year 5 and 933 in year 9. What is the purchasing power of the present value of these payments if the market interest rate is 16% per year and the inflation rate is 8% per year |

Find the ground speed and the course of the airplane : An airplane is traveling with an airspeed of 420 mph and a heading of 72 degrees. a wind of 32 mph is blowing at a heading of 130 degrees. find the ground speed and the course of the airplane. |

Wise judgment scenario : A teenage girl is "in love" with her 17-year-old boyfriend. He is encouraging her to have sex with him saying that he will make sure they only have "protected" sex. A man has had a difficult time finding a job that pays enough to support his family. .. |

What values of a1 , a2 , ß1 , ß2 : for all x = (x1, x2), y = (y1, y2) ∈ V , α1, α2, β1, β2 some fixed real numbers, and scalar multiplication is the usual scalar multiplication. What values of α1 , α2 , β1 , β2 make V a vector space (over R). |

What is the present value of the payment to be received? : You expect to receive a payment of $104 one year from now. Your discount rate is 4 percent. What is the present value of the payment to be received. Suppose that the discount rate is 5 percent. |

Meaning of the long-run equilibrium is : Suppose that an increase in jewellery demand induces a a surge for in the demand for gold. Using diagrams from part a show what happens in the short run to the gold market and to each existing gold mine. |

## At what rate is his distance from second basea baseball diamond is a square 90 feet on each side. a player is running from home to first base at a rate of 15 feet per second. at what rate is his distance from second base changing when he has run halfway to first base? |

## Determininc subsetsDetermine whether A=B , if A is a subset of set B, if set B is a subset is a subset of A, if set A is a proper subset of set B, if set B is a proper subset of set A , or if none of these applies. |

## Integration-anti-derivativePlease show how to solve each of the following problems. Find the antiderivative (integral) |

## Numerical linear algebra-lu decompositionFind a matrix A that admits no LU decomposition, even if we only require that L is lower triangular ( not necessarily unit!) and U is upper triangular. |

## How long would it take if they worked togetherJanet can shovel her driveway in 30 minutes, Bill can shovel his driveway in 35 minutes. How long would it take if they worked together? |

## Determine general expression for the car''s accelerationRate related problems and Determine the general expression for the car's acceleration at any time t, and show that car is decelerating 2(2/3) seconds after starting from rest. |

## Probability statistics combination application word problemIn a marketing survey, consumers are asked to give their first three choices, of 9 different drinks. In how many different ways can they indicate their choices? Probability Statistics Combination Application Word Problem |

## What is the scale of the drawingBlaise drew a scale drawing of a swimming pool. In real life, the pool is 12 meters wide. It is 15 millimeters wide in the drawing. What is the scale of the drawing? |

## Find the dimensions of the field that has the maximum areaA farmer has 300 meters of fencing. The fencing is to be used to enclose a rectangular field and to divide it in half. Find the dimensions of the field that has the maximum area. |

## What are the lot dimensionsThe total cost of the fencing along three sides comes to $1950. What are the lot's dimensions? |

## Find the area of the triangular regionFind the area of the "triangular" region in the first quadrant bounded on the left by the y-axis and on the right by the curves y |

## Find the equation of this parabolaa radio telescope with a diameter of 300 feet and a maximum depth of 46 feet. the graph depicts a cross section of this telescope. find the equation of this parabola. |

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