Solve the problem.If a single pane of glass obliterates 15% of the light passing through it, then the percent P of light that passes through n successive panes can be approximated by the equation P = 100e-0.15nHow many panes are necessary to block at least 50% of the light?

Fill in the blank(s) with the appropriate word(s).


5 panes

Mathematics

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The double integral gives the mass of a lamina R. Determine the density ?, the mass, and the center of mass.

A. k; 2k;  
B. k; 2k;  
C. 2k; 2k;  
D. k; 4k;  

Mathematics

Decompose v into two vectors v1 and v2, where v1 is parallel to w and v2 is orthogonal to w.v = 2i - 2j, w = 2i + j

A. v1 = (2i + j), v2 = - i - j
B. v1 = (2i + j), v2 = i - j
C. v1 = (2i + j), v2 = i - 2j
D. v1 = (2i + j), v2 = 1i - j

Mathematics

Determine whether the second polynomial is a factor of the first polynomial.(7x3 + 24x2 - 17x + 4); (x + 4)

A. Yes B. No

Mathematics

Find the slope and the y-intercept from the equation of the line. Sketch a graph of the equation.y = - x - 3

A. m = - ; y-intercept = -3

B. m = - ; y-intercept = 3

C. m = ; y-intercept = -3

D. m = ; y-intercept = 3

Mathematics