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The pattern of sound waves emitted by a source traveling at constant velocity is shown in the animation below. The source in the animation travels at a speed of 50% of the speed of the waves in the medium. At rest, the source emits a frequency of 360 Hz. The small rectangle in the animation represents an observer. If the source travels toward the observer at a constant velocity of 27.0% of the speed of the waves in the medium, what is the frequency of the waves observed by the observer? Hz After the source passes the observer, what is the frequency of the waves observed by the observer?
the lifetime of a light bulb is normally distributed with a mean life of 1000 hours and a standard deviation of 30 hours. Find the probability that a randomly selected light bulb lasts longer than 1045 hours.
formulas are equations that have been used so frequently in certain applications that they have become standard.
Find its maximum distance above the ground? After how many seconds will the object hit the ground.
Compute the value of the sample correlation coefficient between weekly sales and shelf space.
Ellen,jim, and steve bought three helium ballons and paid $2 for all three. They decided to go back to the store and buy enough ballons for everyone in the class. How much did they pay for 24 ballons
A street light is on top of a 10 foot pole. Joe, who is 6 feet tall, walks away from the pole at a rate of 4 feet per second. At whatspeed is the tip of Joe's shadow moving from the base of the pole when he is 15 feet from the pole?
A soup bowl can be modeled as a solid of revolution formed by revolving the graph of y=(x/2)^0.5+1,0≤x≤4,about the x-axis. Use this model, where x and y are measured in inches, to find the volume of the soup bowl.
Let G be a simple graph with no isolated vertex and no induced subgraph with exactly two edges. Prove that G is a complete graph. (Please read carefully the definition of an induced subgraph before you attempt to solve it!).
Use the quadratic formula to find out how long after the rocket is launched it will hit the ground. Round to the nearest tenth of a second.
Suppose that X1 and X2 are Gaussian random variables with means µ1 and µ2 respectively. Assume that µ1 ≠ µ2. The variance for each of the two random variables is σ2. Find the value of x for which fx1(x) = fx2(x).
Using the washer method, find the volume of the solid generated when the region bounded by the curves y=(square root of)x and y=x^2 is revolved about the x-axis.
You are standing 50 ft away from a building. The angle of elevation to the building is 72 . What is the height of the building?
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