Insert parentheses in the statement form to show the proper order for the application of the connectives.p ? q ? r ? q ? ~p

What will be an ideal response?


(p ? (q ? r)) ? (q ? (~p))

Mathematics

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Solve the problem.A cylinder with height 12 m and radius 4 m is filled with water and must be emptied through an outlet pipe 2 m above the top of the cylinder. Compute the work required to empty the water in the top half of the tank. Then compute the work required to empty the (equal amount of) water in the lower half of the tank. Round to two decimal places when appropriate.

A. 14,778,051.8 J; 32,511,714 J B. 35,467,324.4 J; 17,733,662.2 J C. 47,289,765.8 J; 32,511,714 J D. 17,733,662.2 J; 17,733,662.2 J

Mathematics

Write the Hindu-Arabic numeral as a Roman numeral.4758

A. MMMMDCCLVIII
B. IVDCCLVIII
C. DCCLVIII
D. DCCLVIII

Mathematics

In the circuit below, VR = 14 V and VC = -8 V. Find E and é.


a. é = -29.45ø, E = 10.08 V
b. é = -29.74ø, E = 16.12 V
c. é = -60.55ø, E = 16.27 V
d. é = -34.85ø, E = 14.00 V
e. é = -55.15ø, E = 9.75 V

Mathematics

Solve the right triangle shown in the figure.   = 2.3 in, ?A = 50.4°, ?C = 90°

A.  = 3.5 in, ?B = 39.6°,  = 3.0 in
B.  = 0.8 in, ?B = 39.6°,  = 2.4 in
C.  = 3.5 in, ?B = 39.6°,  = 4.2 in
D.  = 1.9 in, ?B = 39.6°,  = 3.0 in

Mathematics