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Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P and volume V satisfy the equation PV = C where C is a constant. Suppose that at a certain instant the volume is 550 cubic cm, the pressure is 80 kPa, and the pressure is increasing at a rate of 100 kPa per min. At what rate is the volume decreasing at this instant?
Walleye is a common game fish. Adult walleye have a length with a mean of 44 cm and a standard deviation of 4 cm and the distribution of lengths is approximately Normal. What fraction of walleye are longer than 52 cm in length?
a plane flies 400 miles with the wind and 320 miles against the wind in the same length of time. If the speed of the wind is 29 mph, what is the speed of the plane in still air?
there are 312 coins of the same time in two stacks.one stack of coins is 15 inches tall.the other stack is 9 inches tall. find the thickness of one coin to the nearest thousandths of a inch.
Describe the steps necessary to calculate the experimental probabilities of- Drawing two red cards one after the other from the given deck if the cards are returned to the deck after each pick.
Find the vertical asymptote of the function f(x) 5x^2 - 4/x+1 show a work and answer. Find the vertical and horizontal asymptotes of the function g(x) =x+7/x^2 - 4
Derive an identity for nCk via inclusion-exclusion by counting the k-multisets of [n] in which each element of [n] appears at most once. use p_i = "element i appears more than once in the multiset" as the i-th property, for 1
Make a position-vs.-time graph of that trip.
If Jane has a part-time teacher for her economics course, what is the probability that she is taking a night class?
For one pony, the critical force was 1.16 times its body weight. It experienced a force of .75 times its body weight at a speed of 2 meters per second, and a force of .93 times its body weight at 3 meters per second. At what speed did the pony swi..
A certain university has a computer room with 222 terminals. Each day there is a 4% chance that a given terminal will break and a 70% chance that a given broken terminal will be repaired. In the long run, about how many terminals in the room will ..
For what values or range of values are the following functions undefined
The probability of a bit error in a memoryless binary symmetric communication channel is 10^-3. Find the probability of a block of 1000 bits
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