Solve the problem.Find the sum of the first 953 natural numbers.

A. 453,628
B. 908,209
C. 909,162
D. 454,581


Answer: D

Mathematics

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Find the probability.The biology faculty at a college consists of 8 professors, 15 associate professors, 14 assistant professors, and 9 instructors. If one faculty member is randomly selected, find the probability of choosing a professor or an instructor.

A.
B.
C.
D.

Mathematics

Simplify the algebraic expression.-4(2x - 9) - 4x + 6

A. -12x - 30 B. 4x + 42 C. 12x + 42 D. -12x + 42

Mathematics

Given the polynomial function f(x), find the rational zeros, then the other zeros (that is, solve the equation ), and factor f(x) into linear factors.f(x) = x3 - 64

A. 4, 2 + 2i, 2 - 2i ; f(x) = (x - 4) (x - 2 - 2i)(x - 2 + 2i)
B. 4, -2 + 2, -2 - 2 ; f(x) = (x - 4) (x + 2 - 2)(x + 2 + 2)
C. 4, -2 + 2i, -2 - 2i ; f(x) = (x - 4) (x + 2 - 2i)(x + 2 + 2i)
D. 4, -2 + i, -2 - i ; f(x) = (x - 4) (x + 2 - i)(x + 2 + i)

Mathematics

Solve the problem.A tree casts a shadow 17 m long. At the same time, the shadow cast by a 41-cm tall statue is 56 cm long. Find the height of the tree to the nearest meter.

A. 23 m B. 12 m C. 11 m D. 22 m

Mathematics