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1. A hot-air balloon is rising vertically 19 ft/sec while the wind is blowing horizontally at 13 ft/sec. Find the speed v of the balloon and the angle θ it makes with the horizontal.
2. Two perpendicular forces act on a ring at the end of a chain that passes over a pulley and holds a crate. What is the weight of the crate if the horizontal force pulls at 47 pounds and the vertical force pulls at 40 lb?
3. An airplane has an airspeed of 430 km/h bearing 42° north of east. The wind velocity is 40 km/h in the direction 25° north of west. Find the resultant velocity representing the path of the airplane with respect to the ground. What is the actual ground speed of the aircraft in km/h?
Identify any symbols you choose to use.
What is the significance of path independence? How does this relate to energy calculations?
What is-the maximum height reached by the ball? What is the velocity of the ball when it is 128 ft above the ground on its way up? What is-the velocity of the ball when it is 128 ft above the ground on its way down?
Sketch the vector field F→(x,y) by drawing vectors at the (m,n) where m and n are integers between -2 and 2 (inclusive). That is, draw the vectors at each grid point shown.
Find the proportion of customers that go away empty handed. Find the average time that an item is on the shelf
A certain model of remote-control Stanley garage door opener has six binary (off/on) switches. The homeowner can set any code sequence.
Using a 0.025 significance level, test the claim that the proportions of agree/disagree responses are same for the subjects interviewed by men & the subjects interviewed by women.
what is the distance between the origin and the point (5,-19)? if necessary, round your answers to two decimal places.
Describe the process of multiplying binomials using the FOIL method in your own words. You can either write a paragraph describing the process, or you can list a set of steps to follow. Include an example problem in your answer.
Biased Bernoulli Process, Suppose that two teams that meet in the world series are closely matched: the better team wins a given game with a probability of .55
How do I solve this step-by-step? By checking work records, a plumber finds that Raul can plumb a house in 48hr. Mira can do the same job in 36hr. How long would it take if they worked together?
Describe the Luhn algorithm for finding the check digit of a credit card number and discuss the types of errors that can found using this check digit.
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