Expand the expression using the Binomial Theorem.(5x + 3)3

A. 125x3 + 225x2 + 225x + 27
B. 25x2 + 30x + 9
C. 125x3 + 225x2 + 135x + 27
D. 25x6 + 15x3 + 729


Answer: C

Mathematics

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Compute the gradient of the function at the given point.  

A. ?f = j - k
B. ?f = - j - k
C. ?f = - j + k
D. ?f = - j - k

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Provide an appropriate response.If P(A ? B) = 0.2, P(A) = 0.7, P(B) = 0.8, can A and B be independent events? How can you tell?

What will be an ideal response?

Mathematics

Solve the system of equations. If the system has no solution, say that it is inconsistent.

A. x = 0, y = 0; (0, 0) B. x = 0, y = -12; (0, -12) C. x = -8, y = -4; (-8, -4) D. inconsistent

Mathematics

Use a determinant and the given vertices of a triangle to find the area of the triangle. ? (0, -3), (-3, 3), (4, 4) ?

A.
B.
C.
D.
E. 45

Mathematics