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Question: Solve the given problems. Sketch an appropriate figure, unless the figure is given.
The diameter d of a pipe can be determined by noting the distance x on the V-gauge shown in Fig. Points A and B indicate where the pipe touches the gauge, and x equals either AV or VB. Find a formula for d in terms of x and Θ?
there are 870 students taking College Algebra or Calculus. 385 are taking College Algebra, 537 are taking Calculus, and 52 are taking both College Algebra and Calculus. How many are taking Algebra but not Calculus?
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 hot-air balloon exerts a 1200-lb pull on a tether line at 45 degree angle with the horizontal. Resolve the vector B into components.
a) Let {xn} be a bounded sequence. Prove that if limn→∞ sup |xn| = 0, then limn→∞ xn exists and equals 0. (b) Prove that a bounded sequence that does not converge always has at least two subsequences that converge to different limits.
What is the thermal cooling time constant (Tau) for an engine in a car if the car cools down from 115 degrees C to 35 degrees C in 2 hours.
A tennis tournament is arranged on a straight knockout basis for 2 n players, and for each round, except the final, opponents for those still in the competition are drawn at random. The quality of the field is so even that in any match it is equal..
Write a formula to express the following sentence: The sale price is 20% off the original price. Use S for sale price and P for original price to express S as a function of P.
What is the probability of- a white chip on the first draw? An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced, and then a second chip drawn.
WEATHER PREDICTIONS Suppose the probability that it will rain tomorrow is .3.
Trading cards cost $12.00 before sales tax and $12.60 after sales tax. what is the sales tax rate?
Use a calculator to graph all three parabolas on the same coordinate system. Describe (a) the shifts of y = x2 that occur and (b) how each parabola opens.
Brian digs two circular holes for fish ponds, one 3 meters in radius and the other is 6 meters in radius. How much greater in area is the larger fish pond? Use 3.14 as an approximation for π.
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