Expand the expression using the Binomial Theorem.4

What will be an ideal response?


x4 - 12x5/2 + 54x -  + 

Mathematics

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Solve.Suppose that we want to measure the magnitude of an earthquake. If an earthquake has a shock wave x times greater than the smallest shock wave that can be measured by a seismograph, then its magnitude R on the Richter scale is given by the equation R = log x. What is the magnitude of an earthquake that has a shock wave that is 123,000times greater than the smallest shock wave that can be detected? If necessary, round to two decimal places.

A. 5.09 B. 0.09 C. 0.2 D. 11.72

Mathematics

Find all cube roots of the complex number. Leave answers in trigonometric form.4 - 4i

A.  cis 100°,  cis 220°,  cis 340°
B.  cis 60°,  cis 180°,  cis 300°
C.  cis 80°,  cis 200°,  cis 320°
D.  cis 100°,  cis 220°,  cis 340°

Mathematics

Solve the problem.A grocery store normally sells 8 jars of caviar per week. Use the Poisson Distribution  to find the probability (to three decimals) of selling 3 jars in a week. 

A. 0.086 B. 0.029 C. 0.057 D. 0.019

Mathematics

Solve the problem.Two cars start from the same point and travel in the same direction. If one car is traveling 57 miles per hour and the other car is traveling at 45 miles per hour, how far apart will they be after 4.1 hours?

A. 233.7 mi B. 385 mi C. 49.2 mi D. 418.2 mi

Mathematics