Let A⊆ ℜn be a convex set. LetMbe an n×n matrix and define,B:={Mx:x∈A}i.e.B is the set of all points in ℜn that can be obtained by selecting a point x∈Aand applying the transformationx→Mx.(a) Show that B is convex.(b) Suppose thatMis invertible and considerz∈A, hence Mz∈B.Show thatzis an extreme point ofAif and only if Mz is an extreme point of B

Obtain the average density of the soccer ball : A soccer ball floats in a pond of pure water. The ball has a mass of 0.3 kilogram and a circumference of 70 centimeter. Obtain the average density of the soccer ball |

Describe financial statement impact of the investment : Describe the financial statement impact of the investment in Stipple on Parena's 12/31/14 financial statements and describe the financial statement impact of the investment in Stipple on Parena's 12/31/14 financial statements. |

Determine the angular magnification of the moon : Your telescope has an objective lens with a focal length of 1.1 meter. You point the telescope at the moon, Determine the angular magnification of the moon |

Obtain the magnification of the final image formed : Two lenses, one converging with focal length 22 centimeter and one diverging with focal length 12 centimeter are located 25 centimeter apart. Obtain the magnification of the final image formed |

Show that b is convex : Show that B is convex |

Compute the emf that exists between the ends of the rod : A 0.45 meter metal rod moves 0.11 meter in a direction that is perpendicular to a 0.80 T magnetic field in an elapsed time of 0.036 second. compute the emf that exists between the ends of the rod |

How much will you pay in property taxes : The property tax rate in Northside ISD $1.3755 for every $100 in property value. If your property is assessed at $185,000, how much will you pay in property taxes? |

How many 20-digit quaternary : How many 20-digit quaternary |

Obtain what the average emf induced in the coil : A circular coil of wire has 25 turns and has a radius of 0.075 meter. Obtain the average emf induced in the coil in the time interval from t = 5.00 s to 7.50 second |

## How long should the race beemile knows his brother would enjoy winning the race, but he does not want the race so short that it is obvious his brother will win. How long should the race be so that Henry will win in a close race? |

## What is the area of the shaded sector in betweenif the radius of a circle is 14 inches and the arc of the circle is 30 degrees. what is the area of the shaded sector in between? |

## What does best rental charge per day and per mile\Best Rental charges a daily fee plus a mileage fee for renting its cars. Barney was charged $105 for 3 days and 300 miles, while Mary was charged $191 for 5 days and 600 miles. What does Best Rental charge per day and per mile? |

## Find the speed associated with the braking distanceThe braking distance y in feet that it takes the car to stop on wet, level pavement can be estimated by y=1/16x^2, where x is the speed of the car in miles per hour. Find the speed associated with the braking distance of 169 feet. |

## If the speed on the current was 12 mph and the total tripa boat traveled downstream a distance of 33 mi and then came right back. if the speed on the current was 12 mph and |

## What is the size of the sampleA researcher studies the average distance that 130 people who are living in U.S. urban areas walk each week. What is the size of the sample? Identify the population. |

## How far ahead of jill should be beginJack and Jill decide to have a four-lap race (i.e. 4 m meters) with each runner agreeing to run only in his/her lane. If Jack runs in lane two, how far ahead of jill should be begin if the finish line is jill's starting point? |

## Determine expected waiting timeCars pass a certain street location according to a Poisson process with rate λ. A woman who want to cross the street at that location waits until she can see that no cars will come by in the next T time units. |

## Multiple choice question from probability and setmultiple choice question from probability and set language.choose the one alternative that best completes the statement |

## Explain a pizza is heated to a temperatureA pizza, heated to a temperature of 350 degrees Fahrenheit, is taken out of an oven and placed in a 75 degree room at time t = 0 minutes. |

## The percentage of women in military who serve on activethe percentage of women in the military who serve on active duty has been steadily increasing. the number of women n on |

## What is the chance that the pet store gets exactly one blueA pet supplier has a stock of parakeets of which 30% are blue parakeets. A pet store orders 3 parakeets from this supplier. If the supplier selects the parakeets at random, what is the chance that the pet store gets exactly one blue parakeet? |

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