The velocity graph of a car accelerating from rest to a speed of 105 km/h over a period of 30 seconds is shown. Estimate the distance, d traveled during this period. (Use M6 to get the most precise estimate. Round the answer to two decimal places.)

State what is the length of the house from ground level : If the roof of the home makes a 45 degree angle with the base of the home, what is the length of the house from ground level to the peak of the roof? |

Do the cans contain more than 950 mg of sodium per serving : A consumer's group is concered that the soup contains more sodium that what is listed on the can. A sample of 30 cans had a mean sodium content of 975mg per serving and a sample standard deviation of 60mg. Do the cans contain more than 950 mg of s.. |

Explain find and equation of the tangent to the curve : Find and equation of the tangent to the curve at the point corresponding to the given value of the parameter x= cos t + sin 2t, y= sin t + cos 2t (t=0) |

Use the definition of the derivative to find the derivative : Use the definition of the derivative to find the derivative of the following function. |

Estimate the distance d traveled during this period : The velocity graph of a car accelerating from rest to a speed of 105 km/h over a period of 30 seconds is shown. Estimate the distance, d traveled during this period. (Use M6 to get the most precise estimate. Round the answer to two decimal places... |

Find what is the probability that none selected is a woman : What is the probability that none selected is a woman? Enter your answer with 3 decimal places. |

Show the marginal product of labor and the value of marginal : Labor is the only input used by a perfectly competive firm. It hires workers for $50 a day. The firm's production function is shown in the following Table. Each unit output sells for $10. a.) complete the table to show the marginal product oflabor .. |

What is the displacement of the car from the point : A car is driven 115 km west and then 60 km southwest. What is the displacement of the car from the point of origin (magnitude and direction)? |

Find and interpret marginal profit when four units are sold : Find and interpret the marginal profit when four units are sold. |

## What is the anlge of elevation from the child to the topa child lies on the ground and looks up at the top of a 14-ft tree nearby. the child is 7-ft away from the tree. what is the anlge of elevation from the child to the top of the tree. round to the nearest whole degree. |

## What is probability that teesha will be picked as a guideWhat is the probability that Teesha will be picked as a guide? Hint: Teesha must be picked first or second. |

## Solving systems of equationsThere are many applications used in the area of solving systems of equations. For example, systems of equations can be used to find the optimal number of items to produce to ensure the highest profit of those particular items. |

## How many minutes do they need to shovel all of kevin snowIf Kevin, Dave, John and Allison all work together, how many minutes do they need to shovel all of Kevin's snow. |

## How fast is the area of the spill increasingOil spilled from a tanker spreads in a circle whose circumference increases at a rate of 40 ft/sec. How fast is the area of the spill increasing when the circumference of the circle is 100 (pi) ft? |

## What are the dimensions of the largest area he can encloseThe owner of the Rancho Grande has 2972 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. If fencing is not required along the river, what are the dimensions of the largest area.. |

## Exponential random variables with parametersIt is known that the time (in hours) between consecutive traffic accidents can be described by the exponential r.v. X with parameter (Lambda = 1/60). Find (i) P(X |

## Compute what is the probability that the slips be chosenWhat is the probability that the slips will be chosen in the order of the colors of a rainbow (the order listed above)? |

## Find the standard deviationFind the standard deviation, , for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth. |

## Find the weight of the individual childrenfive school children are weighed in pairs. the readings (in kilograms) are: 58,60,61,64,65,67,68,70 and 71. find the weight of the individual children. |

## Express the cost of the window as a functionClear glass costs $3 per square foot and stained glass costs $10 per square foot. Express the cost of the window as a function of the radius of the stained glass pane. |

## Estimate the maximum possible error in the calculated areaThe radius of a circular disk is given as 26cm with a maximum error in measurement of 0.2cm. Use differentials to estimate the maximum possible error in the calculated area of the disk. |

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