Use the distributive property to multiply. Then, if possible, simplify the resulting expression.4(a + b)

A. 4ab
B. 8ab
C. 4a + 4b
D. 4a + b


Answer: C

Mathematics

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Solve the problem.Let D be the smaller cap cut from a solid ball of radius 8 units by a plane 4 units from the center of the sphere. Set up the triple integral for the volume of D in rectangular coordinates.

A.
B.
C.
D.

Mathematics

Write an equivalent sentence for the statement.It is false that cats are lazy or dogs are not friendly. (Hint: Use De Morgan's laws.)

A. Cats are lazy and dogs are friendly. B. Cats are not lazy or dogs are friendly. C. Cats are not lazy and dogs are friendly. D. Cats are not lazy or dogs are not friendly.

Mathematics

Solve. = 3 + 

A. -1 B. 5, 8 C. -5, -8 D. No solution

Mathematics

Find the zeros of the polynomial function and state the multiplicity of each.f(x) = 4x(x - 5)(x + 9)

A. x = -5, multiplicity 1; x = - , multiplicity 1; x = 9, multiplicity 1
B. x = -5, multiplicity 1; x = - , multiplicity 1; x = 0, multiplicity 1; x = 9, multiplicity 1
C. x = -9, multiplicity 1; x = , multiplicity 1; x = 5, multiplicity 1
D. x = -9, multiplicity 1; x = 0, multiplicity 1; x = , multiplicity 1; x = 5, multiplicity 1

Mathematics