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An extension ladder adjusts in length from 10 ft to 16 ft. Suppose you've leaned your ladder against your house, so that, at its minimum length, it touches the base of your first floor window, 9 feet above the ground. Without moving the base, how high will the ladder reach, when extended?
Using LOGARITHMS, find the area of the following triangles : a = 12.7, b = 21.5, and c = 28.6
S4 means symmetric group of degree 4, A4 means alternating group of degree 4, e is the identityIs there a group homomorphism $:S4 -> A4, with kernel $ = {e, (1 2)(3 4), (1 3)(2 4), (1 4)(2 3)}?
Please evaluate the following integral using the formula for integration by parts,
Suppose also that 200 nonpregnant women take the test, and 184 of them test "negative" and the remaining 16 test "positive." What is the probability that a woman who tests positive is actually pregnant?
A baseball is hit from a height of 3 feet with an initial speed of 120 feet per second at an angle of 30 degrees above the horizon. Find the vector-valued function describing the position of the ball t seconds after it is hit.
Suppose there are 90 small towns in a country. From each town there is a direct bus route to at least 50 towns. Is it possible to go from one town to any other town by bus possibly changing from one bus and then taking another bus to another town?
Odds and probability, A casino states that the house odds (note: house odds are the odds that the gambler will lose) for a certain game are 23 to 2.
Explain the difference between mutually exclusive and independent events. Can a pair of events be both mutually exclusive and independent? Give examples.
Computer analysis showed that the surface of a certain drumlin can be approximated by y= 10(1-0.0001x^2) revolved 180 about the x-axis from x= -100 to 100.
Describe an application for the use of ratios or proportions and how it could be useful in your daily life?
Calculate the free end deflection caused by the load using general expression for the internal Elastic Strain Energy.
Solve the following equation
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