Use the variable expressions and the Pythagorean theorem and solve for x. Sides are listed smallest to largest. Round your answer to 1 decimal place.






Mathematics

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Solve the problem.At a plant that packages bottled spring water, the water is passed through a sequence of ion-exchange filters to reduce the sodium content prior to bottling. Each filter removes 68% of the sodium present in the water passing through it. Determine the number of filters that must be used to reduce the sodium concentration from 16 parts-per-million to 1.58 parts-per-million.

A. 7 filters B. 9 filters C. 6 filters D. 8 filters

Mathematics

Solve the problem.Find the mass of the solid in the first octant between the spheres  and  if the density at any point is inversely proportional to its distance from the origin.

A. k?
B. 40k?
C. k?
D. 5k?

Mathematics

Solve the inequality. Express your answer using interval notation.|5x - 1| ? 5

A.
B.  or 
C.  or 
D.

Mathematics

Perform the conversion. Round to the nearest tenth when necessary.19 L to qt

A. 22.8 qt B. 8.6 qt C. 18.0 qt D. 20.1 qt

Mathematics