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A 2100 kg car traveling to the right at 22 m/s is chasing a second car of the same mass that is traveling to the right at 10 m/s. What fraction of the initial kinetic energy of the cars is lost during this collision?
Find the equation of a line perpendicular to the line: x = 4 ,and passing through the point: (4,2). Draw a graph of the following linear function and give the domain and range:
The equation R = 0.028t + 20.8 can be used to predict the world record in the 200-m dash, where R is the record in seconds and t is the number of years since 1920. In what year will the record be in 19.0 sec?
Find the equilibrium solution Weq of the DE, and interpret it in ?financial terms.
Finding the accumulated value of compound interest.
How is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school? Can understanding how to do one kind of division help you with understanding the other kind? What are some examples from re..
A bus traveled at an average rate of 50 miles per hour then reduced its average rate to 40 miles per hour for the rest of the trip. If the 220-mile trip took 5 hours, determine how long the bus traveled at each rate.
An insurance company sells an automobile policy with a deductible of one unit. Let X be the amount of the loss having p.m.f. Determine C and the expected value the insurance company must pay
A water storage tank has the shape of a cylinder with diameter 6 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 5 ft, what percentage of the total capacity is being used?
Define the variables, determine the slope and vertical intercept, and write an equation to model this data and evaluate the table of values of earning using the given data.
Suppose that you randomly draw 18 cards from a standard deck of 52 cards. what is the probability of drawing at least 6 hearts?
suppose a function f is conjugate to a function g by the homeomorphism h. show that g is conjugate to f by the homeomorphism h-inverse. Use the fact that h-inverse is a homeomorphism whenever h is.
Write the matrix of T in the standard basis of C^3. Find all eigenvalues of T. Is there a basis of C^3 such that the matrix of T in that basis is diagonal? If your answer is "NO", explain why.
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