Use the binomial theorem to expand the expression.(3x + 1)5

A. (9x2 + 6x + 1)5
B. 243x5 + 15x4 + 90x3 + 90x2 + 15x + 1
C. 243x5 + 405x4 + 270x3 + 90x2 + 15x + 1
D. 243x5 + 81x4 + 27x3 + 9x2 + 3x + 1


Answer: C

Mathematics

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Provide an appropriate response. Round your answer to the nearest hundredth if necessary.Steps 0 and 1 for constructing a fractal are given below. Assume that the length of the line segment in step 0 is 1. Find the length of the curve in step 4.  

A. 12.86 B. 625 C. 81 D. 7.72

Mathematics

The function s gives the displacement (in ft) of an object as a function of time (in seconds). Calculate values of the average velocity for the given values of t and find the instantaneous velocity at the indicated value of t by noting the limit of the average velocities.s = 2t2 - 4; when t = 6; use values of t of 5.5, 5.9, 5.99, 5.999

A. Average velocities: 23.5, 23.9, 23.99, 23.999
v = 24 ft/s
B. Average velocities: 23, 23.8, 23.98, 23.998
v = 24 ft/s
C. Average velocities: 11.5, 11.9, 11.99, 11.999
v = 12 ft/s
D. Average velocities: 11, 11.8, 11.98, 11.998
v = 12 ft/s

Mathematics

Find the standard deviation for the following set of numbers:

7, 15, 12, 14, 12, 9, 10, 8 a. 12.02 b. 10.89 c. 2.66 d. 4.49

Mathematics

Solve the problem.David's company has to ship 2200 boxes of sprinklers. 4 truckloads all containing the same number of boxes were delivered. How many boxes were shipped in each truck?

A. 550 boxes B. 50 boxes C. 55 boxes D. 555 boxes

Mathematics