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A company wishes to manufacture a box with a volume of 56 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material.
a projectile is fired straight up with an initial velocity of 80 feet per second. Its height in feet after t seconds is s = -16t^2 + 80t. During what time period will the projectile be above 96 feet?
If the data for both tests are normally distributed, on which test did the student score better? Show the use of a formula.
How to clarify a rotated conic section - how linear transformations can be used to study rotated conic sections. Your essay should include
a pilot can travel 374 miles with the wind in the same amount of time as 306 miles against the wind. find the speed of the wint if the pilots speed in still air is 170 miles per hour.
the base of a solid is an ellipse whose major axis and minor axis are 12 and 8cm long, respectively. what is the volume of the solid if every section perpendicular to the major axis is an is an equilateral triangle.
The polynomial 0.041h-0.018a-2.69 can be used to estiimate the lung capacity, in liters, of a female with height h, in centimeters, and age a, in years. Find the lung capacity of a 40-year-old woman who is 160 centimeters tall.
Determine, using the limit comparison test, whether the series with terms (n^4 + 3n)/(5n^3 + 9) converges or diverges. Which series did you use for the limit comparison test.
A building is 172 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 22 inches tall. Which scale will allow her to make the tallest model that will fit in the ..
Empirical Probability - Coin Toss. Use the empirical method to estimate the probability. You count 42 heads when you toss a coin 100 times
Your weekly paycheck is 20 percent less than your coworker's. Your two paychecks total 885. Find the amount of each paycheck.
Find the slope and the equation of the tangent line to the graph of the function at the given value of x.
A manufacturer finds that the total profit from producing and selling Q units of a product is given by the profit function:
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