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A piece of cardboard measuring 12 inches by 11 inches is formed into an open-top box by cutting squares with side length x from each corner and folding up the sides.
a. Find a formula for the volume of the box in terms of x.
b. Find the value for x that will maximize the volume of the box.
If the price of the is $1 per liter and the driver is paid $8 per hour, at what speed between 80km/h and 100km/h is it the most economical to drive?
Find new estimates using ten rectangles in each case.
A farmer plans to use 21 m of fencing to enclose a rectangular pen having an area of 55 m². Only three sides of the pen need fencing because of an existing wall. Find the dimensions of the pen.
The speed of a passenger train is 10mph faster than the speed of a freight train. The passenger train travel 310 miles in the same time it takes the freight train to travel 260 miles. Find the speed of each train.
Twenty rivets are used to fasten two steel plates together. The plates are 2.8 m long, and the rivets are equally spaced with a rivet at each end. Find the distance between the rivets. Round to the nearest tenth of a centimeter.
Does length of the police contact influence perception of the contact?
Which of the following situations is inconsistent?
What is the probability that a bridge hand is drawn? Find the probability of the following card hands from a 52-card deck
A club consists of 16 men and 19 women. In how many ways can they choose a president, vice president, treasurer, and secretary, along with an advisory committee of six people?
7- Jensen Enterprises paid $1,300 in dividends and $920 in interest this past year. Common stock increased by $1,200 and retained earnings decreased by $310. What is the net income for the year?
there are 443 tickets sold. There were 57 less student tickets sold than adult tickets. how many adult tickets were sold.
The population standard deviation of the IQ test is 15 for all people in the United States. If a random sample of 225 people has a sample mean of 100, what is the 68% confidence interval for the population mean?
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