Solve the problem.A certain radioactive isotope decays at a rate of 0.25% annually. Determine the half-life of this isotope, to the nearest year.

A. 200 years
B. 277 years
C. 3 years
D. 120 years


Answer: B

Mathematics

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Find the sum of the series.

A.
B.
C.
D.

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Find all the second order partial derivatives of the given function.f(x, y) = x2 + y - ex+y

A.  = 2 + ex+y = ex+y;   =  = ex+y
B.  = 2 - y2ex+y = -x2ex+y;   =  = - y2ex+y
C.  = 1 - ex+y = - ex+y;   =  = -ex+y
D.  = 2 - ex+y = - ex+y;   =  = -ex+y

Mathematics

Use =, <, or > to write a true statement.0 -6.8

A. > B. = C. <

Mathematics

First rewrite the quadratic function in standard form by completing the square, then find any x-intercepts and any y-intercepts.f(x) = -12x2 - 2x - 4

A. x-intercepts:  and ; y-intercept: -4
B. x-intercepts: -  and - ; y-intercept: 4
C. No x-intercepts; y-intercept: -4
D. No x-intercepts; No y-intercepts

Mathematics