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A bullet is moving at a speed of 367 m/s when it embeds into a lump of moist clay. The bullet penetrates for a distance of 0.0621 m before it comes to stop. Determine the acceleration of the bullet while moving into the clay. (Assume a uniform acceleration.)
Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest whole number.)
Calculate the probabilities P 1 and P 2 , defined as follows, that A will win such a duel: P 1 , A fires the first shot; P 2 , B fires the first shot.
1. Consider the function f (x) = x2 - 6x + 7. Find the following: (i)The intervals where the function is increasing or decreasing (ii) Is the function concave up or concave down
the perimeter of a rectangular concrete slab is 94 feet and its area is 462 square feet. What ids the length of the longer side of the slab.
Dry Cleaners. Claudio, a banking vice-president, took 17 neckties to Milto Cleaners. The rate for non-silk ties is $3.25 per tie and for silk ties is $3.60 per tie. His total bill was $58.75. How many silk ties did he have dry cleaned?
Two earthquakes differ by .1 when measured on the Richter scale. How would the seismographic readings differ at the distance of 100 km from the epicenter?
The number of days they spent in New York was the same as the total number of days they spent in Boston and Washington, and the couple spent 3 times as many days in New York as they did in Philadelphia. How many days did Joan and Dick stay in each..
For example, if Ken purchases a Sub 100 and if there is a favorable market, he will realize a profit of $300,000. On the other hand, if the market is un-favorable, Ken will suffer a loss of $200,000. But Ken has always been a very optimistic decis..
A certain diagnostic test for a rare form of cancer detects the cancer if it is present 98 % of the time. If cancer is not present it detects it incorrectly (false positive) 2 % of the time. It is known from a prior study that 0.25 % of the popula..
A poster is to have an area of 250 in2 with 1 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
Balls are drawn from a box containing m white and n black balls until a white ball appears. How many balls in average do we anticipate to draw until we find the first white ball?
Explain the main differences among integers, rational numbers, real numbers, and irrational numbers. How are these used in everyday life? How would you explain the use of each to someone who did not know about the differences?
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