Simplify and then, if appropriate, write in radical notation. (81k4m-8)1/4

A. 3km2
B. 4km2
C.
D.  


Answer: D

Mathematics

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Find the flux of the vector field F across the surface S in the indicated direction.F(x, y, z) = xzi + yzj + k , S is the cap cut from the sphere x2 + y2 + z2 = 16 by the plane  direction away from the origin

A. ?
B. ?
C. - ?
D. 255?

Mathematics

Provide an appropriate response.The population of a town with an initial population of 72,526 is decreasing at a rate of 3.5% per year. Create an exponential function of the form Q = Q0 × (1 + r)t.

A. Q = 72,526 × (1.035)t B. Q = 72,526 × (1.07)t C. Q = 72,526 × (0.965)t D. Q = 72,526 × (-2.5)t

Mathematics

? = central angle of a circle, r = radius of the circle, s = length of the intercepted arc,  speed,  speed, and t = time. Find the missing quantity. Give an exact answer unless otherwise indicated.r = 0.4 meter, ? = 78°, s = ?Round your answer to three decimal places when necessary.

A. 0.294 m B. 0.545 m C. 31.2 m D. 3.403 m

Mathematics

Find the logarithm using the change-of-base formula.log? 200

A. 0.2161 B. 1.1447 C. 4.6284 D. 5.2983

Mathematics