Factor the special product.49w4 - 9
A. (7w2 - 3)2
B. (7w2 + 3)2
C. (7w2 + 3)(7w2 - 3)
D. (49w2 + 3)(49w2 - 3)
Answer: C
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Solve the problem.A spinner marked off in five equal-sized regions, numbered 2, 3, 4, 5, 6, is spun twice. Let the random variable X be the sum of the numbers of the regions where the pointer stops.(a) Find the set of possible outcomes(b) Create a probability bar graph for X.
A. (a) {4, 5, 6, 7, 8, 9, 10, 11, 12}
(b)
B. (a) {4, 5, 6, 7, 8, 9, 10, 11, 12}
(b)
C. (a) {4, 5, 6, 7, 8}
(b)
D. (a) {4, 5, 6, 7, 8, 9, 10, 11, 12}
(b)
Provide an appropriate response.2 = ? (percent)
A. 2.83%
B. 3.203%
C. 283%
D. 320.3%
E. none of the above
Solve the problem.Suppose that certain bacteria can double their size and divide every 30 minutes. Write a recursive sequence that describes this growth where each value of n represents a 30-minute interval. Let a1 = 476 represent the initial number of bacteria present.
A. a1 = 476; an = 2 an+1 for n > 1.
B. an = 2 a1 for all values of n.
C. a1 = 476; an = 2 an-1 for n > 1.
D. a1 = 476; an = an-1 for n > 1.
Answer the question, concerning the use of substitution in integration.If we decide to use u = x + e, then which of the following are correct?i)du = dxii)x = u - eiii) du = e dxiv) dx = e du
A. Both i and iv B. Both ii and iii C. Both i and ii D. Only i