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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Divide as indicated.(25x3 + 40x2 - 5x - 3) ÷ (5x + 3)

A. 5x2 + 5x - 4
B. 5x2 + 5x - 4 + 
C. x2 - 4 + 
D. 5x2 + 5x - 4 + 

Mathematics

Find an upper bound for the magnitude |E| of the error in the linear approximation L to f at the given point over the given region.  at (1, 1, 1)R: |x - 1| ? 0.1, |y - 1| ? 0.1, |z - 1| ? 0.1

A. |E| ? 0.0225 B. |E| ? 0.027 C. |E| ? 0.0337 D. |E| ? 0.0253

Mathematics

Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM.Hurst's Feed & Seed sold to one customer 5 bushels of wheat, 2 of corn, and 3 of rye, for $31.00. To another customer he sold 2 bushels of wheat, 3 of corn, and 5 of rye, for $27.60. To a third customer he sold 3 bushels of wheat, 5 of corn, and 2 of rye for $32.70. What was the price per bushel for each of the different grains?Let x represent the price per bushel for wheat, y the price per bushel for corn, and z the price per bushel for rye.

A. 5x + 2y + 3z = 31.00 2x + 3y - 5z = 27.60 3x + 5y - 2z = 32.70 B. 5x + 2y + 3z = 31.00 2x + 3y + 5z = 27.60 3x + 5y + 2z = 32.70 C. 5x + 2y - 3z = 31.00 2x + 3y - 5z = 27.60 3x + 5y - 2z = 32.70 D. 5x + 2y + 3z = 31.00 2x - 3y + 5z = 27.60 3x + 5y + 2z = 32.70

Mathematics

Solve the inequality and graph the solution on the real number line. ? ?

A. (?]


B. (?]


C. (?]


D. (?]


E. (?]


Mathematics