Use scientific notation to solve the problem.The distance from the earth to the sun is 92,900,000 miles. How long would it take a rocket, traveling at 2.9 x 103 miles per hour, to reach the sun?
A. 3.2 x 104 hr
B. 3.2 hr
C. 3.2 x 103 hr
D. 3.2 x 102 hr
Answer: A
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Find the simplest form of a second-order homogeneous linear differential equation that has the given solution.y = c1e3x cos 3x + c2e3x sin 3x
A. D2y + 6Dy - 18y = 0 B. D2y + 6Dy + 18y = 0 C. D2y - 6Dy - 18y = 0 D. D2y - 6Dy + 18y = 0
Tritium, a radioactive isotope of hydrogen, has a half-life of 12.4 years. Of an initial sample of 41 grams, how much will remain after 94 years? Round your answer to four decimal places. ?
A. 9.5014 grams B. 0.2142 grams C. 0.0000 grams D. 10.2500 grams E. 37.4174 grams
Use Bayes' rule to find the indicated probability.The incidence of a certain disease on the island of Tukow is 4%. A new test has been developed to diagnose the disease. Using this test, 91% of those who have the disease test positive while 4% of those who do not have the disease test positive (false positive). If a person tests positive, what is the probability that he or she actually has the disease?
A. 0.438 B. 0.487 C. 0.91 D. 0.856
Solve the problem.Use the formula A = P(1 + r)2 to find what the rate of interest is if a principal amount of $5500 grows to $6534.55 in 2 years, if interest is compounded annually.
A. 9% B. 10% C. 7% D. 11%