Write the expression in the standard form a + bi.(1 + i)20

A. 1024
B. 1024i
C. -1024
D. -1024i


Answer: C

Mathematics

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Solve the problem. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the objects. A projectile is launched from the origin at an angle of ? radians to the horizontal and an initial speed of  Find the position function r(t) for this projectile.

A. r(t) = (125t cos ?)i + (125t sin ? - 16t2)j B. r(t) = (125t cos ? - 32t2)i + (125t sin ?)j C. r(t) = (125t sin ? - 16t2)i + (125t cos ?)j D. r(t) = (125t sin ?)i + (125t cos ? - 16t2)j

Mathematics

Round off the approximate number as indicated.0.009499 2 significant digits

A. 0.00950 B. 0.009 C. 0.0094 D. 0.0095

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Find the vertex of the parabola.y = 3x2 - 18x + 8

A. ( -3, -19) B. ( 3, 19) C. ( 3, -19) D. ( 3, 89)

Mathematics

Solve the problem.A measure of diversity of species in an ecological community is given by the formula  where P1, P2, ... ,Pn are the proportions of a sample belonging to each of n species found in the sample. A bog in northeastern Illinois has 5 species of birds with these proportions: cardinal, 0.204; robin, 0.28, sparrow, 0.217; oriole, 0.248; woodpecker, 0.051. Find the index of diversity, H.

A. 2.1782193 B. -2.1782193 C. -2.3299917 D. 2.3299917

Mathematics