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The height, in feet, of a free-falling object t seconds after being dropped from an initial height s can be found using the function h = -16t2 + s. An object is dropped from a helicopter 784 feet above the ground. How long will it take the object to land on the ground?
What is the common meaning of the word linear? The mathematical meaning? What is a linear equation? A non-linear equation?
The pipeline will be built in a straight line from the rig to a selected point on the shoreline, then in a straight line to the storage tank. What point on the shoreline should be selected to minimize the total cost of the pipeline?
Show that the binary expansion of a positive integer can be obtained from its hexadecimal expansion by translating each hexadecimal digit into a block of four binary digits.
How many different passwords can be formed? b) How many different passwords have no repeated number or letters?
the revised estimated project cost is 19,350. What is the difference in percentage of profit between the orginial estimated cost and the revised estimated cost?
A linear regression model has a slope of -2.5 and an intercept of 10. The sample coefficient of determination is 0.50. What is the value of the sample correlation coefficient?
Find the nodes x_i and the weights w_i so that the Gaussian quadrature of the sum from i=1 to 2 of (w_i) f(x_i) approximating the integral from -1 to 1 of f(x)dx is exact when f(x) is a polynomial of as high degree as possible.
The graph of a quadratic function (a parabola) has x-intercepts -1 and 3 and a range consisting of numbers less than or equal to 4. Determine an expression for the function.
Using the Quotient rule, find the gradient of the function:
Write an equation to represent volume of an open box constructed by cutting congruent squares from the corners of a 24" by 14" piece of cardboard. What is the domain or this model?
Gavin and Seiji both worked hard over the summer. Together, they earned a total of $425. Gavin earned $25 more than Seiji. How much did each of them earn?
Indicate which test you are performing; show the hypotheses, the test statistic and the critical values and mention whether one-tailed or two-tailed.
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