A rectangular open-topped box is to be constructed out of 26-inch square sheets of thin cardboard by cutting x-inch squares out of each corner and bending the sides up. Express the volume of the resulting box as a polynomial in both factored and expanded form.


Mathematics

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Name the curve with the given polar equation. If it is a conic, give its eccentricity.r = 3

A. Horizontal line passing through (0, 3) B. Vertical line passing through (3, 0) C. Circle with center at the origin and radius 3 D. Parabola with vertex at the origin and opening upward

Mathematics

Make the indicated conversion. 46.9  to 

A. 9230 ft/h B. 554,000 ft/h C. 51,500 ft/h D. 154 ft/h

Mathematics

Find the focus and directrix of the parabola.x = 6y2

A. , y = - 
B. , x = - 
C. , x = 
D. , x = - 

Mathematics

Solve triangle ABC. If necessary, round the answer to the nearest tenth.a = 160, b = 185, c = 329

A. A = 18.9°, B = 16.3°, C = 144.8° B. A = 16.3°, B = 9.5°, C = 154.2° C. No triangle exists. D. A = 16.3°, B = 18.9°, C = 144.8°

Mathematics