Use the Instructional Algorithm for addition or subtraction to perform the operation.56 - 38

A. 28
B. 94
C. 18
D. 6

Answer: C

Mathematics

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Find the equation of the tangent to the curve at the given point.

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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 = 451 represent the initial number of bacteria present.

A. a₁ = 451; a_n = a_n-1 for n > 1.
B. a₁ = 451; a_n = 2 a_n-1 for n > 1.
C. a₁ = 451; a_n = 2 a_n+1 for n > 1.
D. a_n = 2 a₁ for all values of n.

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Mathematics

Evaluate the expression without using a calculator.-

A. 14 B. 24 C. -12 D. 12

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Factor the binomial completely.8p3 + q3

A. (2p + q)(4p2 - 2pq + q2) B. (2p + q)(4p2 + 2pq + q2) C. (2p + q)(4p2 + q2) D. (2p + q)(4p2 - 2pq - q2)

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Mathematics