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