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A sample of a radioactive substance decayed to 91% of its original amount after a year. What is the half-life of the substance?(Round your answers to two decimal places.)
Kno withinknowing that this number, the golden ratio is present not just in mathematics but also be present within your own brain and body at the atomic or subatomic levelwhat do you think it means? Is this number evidence of a grand design, a mas..
The bucket is filled with 36 lb of water and is pulled up at a rate of 5 ft/sec, but water leaks out of the bucket at a rate of 0.2 lb/sec. Find the work done in pulling the bucket to the top of the well (in ft-lb).
A draw bridge is 160 feet long. The two sections of the bridge can be lifted upward to an angle of 40 degrees. If the water is 20 feet below the bridge, find the distance d between the end of a section and the water level when the bridge is fully ..
Excel Solver-maximize annual passenger-carrying capability, An airline owns an aging fleet of jet airplanes. It is considering a major purchase of up to 17 new model 7a7 and 7b7 jets. The decision must take into account numerous cost and capabilit..
The measure of five angles of a hexagon are 137, 147, 103, 90, 118. What is the measure of the sixth angle?
Find the average rate of change from x=2 to x=5. Find the derivative f'(x) from first principles, by setting up the difference quotient, (f(x+h)-f(x))/(h) and finding lim h->0 (f(x+h)-f(x))/(h)
Trigonometric formulas and identities.
Let L:R^n -->R^n be a linear operator on R^n. suppose that L(x) = 0 for some x does not equal 0. Let A be the matrix representing L with respect to standard basis. Show that matrix A is singular.
Find Probability of Drawing Cards. You draw two cards, which end up being Saddam Hussein and another one with his cousin Chemical Alia?.
Two perpendicular sides of a triangle are 2.8 m and 5.8 m long respectively. What is the length of the third side of the triangle? You can answer this in terms of m's, cm's, km's, in's, ft, etc. but you must enter the units. If you don't remember ..
Over the last ?fty years, mortgage rates have ?uctuated from a high of around $18 1/2 % in the early 1980s to a low of around $4 1/2 % last fall. What would the monthly payments be on a thirty-year $100,000 mortgage at each rate? What would the to..
Write the complex number in rectangular form. 7(cos120degrees + i sin120degrees) =
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