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A thin triangular plate of uniform density and thickness has vertices at v1 = (0, 1), v2 =(8, 1), and v3 = (2, 4), as in the figure below, and the mass of the plate is 3 g.
a. Find the (x, y)-coordinates of the center of mass of the plate. This "balance point" of the plate coincides with the center of mass of a system consisting of three 1-gram point masses located at the vertices of the plate.
b. Determine how to distribute an additional mass of 6 g at the three vertices of the plate to move the balance point of the plate to (2, 2).
It has been recorded that the average number of errors in a newspaper is 4 mistakes per page. What is the probability of having 0 or one error
Solve the given system using A - column-space and output space and solve the given system using A-row-space and input space - A linear transformation is applied to the object on the left and we got the object on the right. Find the applied linear tr..
Chuck travels 117 miles in the same time that dana travels 105 miles. If chuck rate of travel is 4mph more than dana's, and they travel the same length of time, at what speed does chuck travel?
You believe the figure is no higher than 0.40. If you want the error of the confidence interval to be no greater than .03, how many cars should you randomly sample? Use a 90% level of confidence.
nna bought twelve pieces of gum consisting of only red gumballs & white gumballs. Find number of white gumballs from 12 pieces.
Calculate the future value of an ordinary annuity consisting of quarterly payments of $1200 for 5 years, if the rate of interest is10% compounded quarterly for the first 2 years and 9% compounded quarterly for the last 3 years.
Always look for a common factor. If there is one, factor out the largest common factor. Use an example to explain how to identify and factor out the largest common factor. (minimum 50 words).
A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in living trees. How long age was the artifact made? (The half-life of carbon-14 is 5730 years.)
You attend a Karaoke night and hope to hear you favorite song. There are 300 different songs in the karaoke (and your favorite is among the 300). Assuming the singers are equally likely to pick any song and no song is repeated
A bag contains 2 yellow, 3 green and 2 blue balls. Two balls are drawn at random. What isthe probability that none of the balls drawn is blue
Two tracking stations are on the equator 148 miles apart. A weather balloon is located on a bearing of N 32°E from the western station and on a bearing of N 20°E from the eastern station. How far is the balloon from the western station? Round to t..
Larry and Michael scored a total of 48 points in the basketball game. If Michael scored twice the number of points Larry did, how many points did Larry score
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