Solve.How long a bolt is needed to go through tubing  in. long, a washer  in. thick, and a nut  in. thick? Reduce the answer to lowest terms.

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


(7/8) in.


Mathematics

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Name the conic (horizontal ellipse, vertical hyperbola, and so on) corresponding to the given equation. +  = 0

A. Horizontal hyperbola B. Vertical hyperbola C. Vertical parabola D. Horizontal parabola

Mathematics

Evaluate the line integral along the curve C.ds , C is the path from (1, 1, 0) to (e4, e4, 1) given by:C1: r(t) = e4ti + e4tj,  0 ? t ? 1C2: r(t) = e4i + e4j + 10tk,  0 ? t ? 1

A. (e12 - 1) + e8 + e4
B. (e12 - 1) + 10e8 + 50e4
C. (e12 - 1) + 10e8 + 100e4
D. (e12 - 1)

Mathematics

Solve the following system of equations by substitution. If both variables cancel out, state the solution as no solution or infinitely many solutions.x + 9y = 12-6x + 8y = 52

A. (-7, 3) B. no solution C. (-6, 2) D. (6, 3)

Mathematics

Find the distance between the pair of points. Give an exact answer, and where appropriate, an approximation to three decimal places.(2, 3) and (3, 10)

A. , 10.000
B. , 3.464
C. , 4.000
D. , 7.071

Mathematics