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An overnight delivery service accepts packages of up to 165 inches in length and girth combined. (Girth is the distance around the package.) A package has a fixed girth of 53 inches. Determine (in terms of an inequality) those lengths for which a package is acceptable.
Explain how the pigeon-hole principle can be used to show that among any 11 integers, at least two must have the same last digit.
A window frame that seems rectangular has height 408 cm, length 306 cm, and one diagonal with length 525 cm. Is the window frame really rectangular? Explain please.
A machine produces bolts with an average diameter of 0.30 inches and a standard deviation of 0.01 inches. What is the probability that a bolt will have a diameter greater than 0.32 inches? Assume the distribution is normal.
Let X be a subset of R, let E be a subset of X, let x_0 be an adherent point of E, and let f: X-->R, g: X-->R, h: X-->R be functions such that f(x)
Integrate the concepts from different units in the Advanced Functions course to design a rollercoaster. Your coaster must meet the following conditions.
Find the exponential function N(t) given the growth factor of N is 5.02 and
Vanilla Box Company is going to make open-topped boxes out of 11 × 11-inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way? (Round your answer to the neare..
How would you use the root or ratio test to determine the convergence or divergence of
Write computer code to determine the steady state temperature at the five co-ordinates in the rectangular region: (a/4,b/4), (3a/4,b/4), (a/4,3b/4), (3a/4,3b/4), (a/2,b/2) using the first 100 terms of the series solution (n = 1 to 100).
The wheels of a car have a 24-in. diameter. When the car is being driven so that the wheels make 10 revolutions per second, how far will the car travel in one minute?
Compute the probability of all the three stocks rise - Compute the probability that All three stocks rise
find the position of the spring when it has, (i)zero velocity(ii)max velocity(iii)minimum velocity
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