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Let m be a positive integer and let a and b be integers relatively prime to m with (ord m a , ord m b) )=1. Prove that ord m (ab)= (ord m a) (ord m b) (Hint: Let k=ord m(a),l=ord m(b), and n=ord m(ab). Then 1≡(ab)^kn≡b^kn mod m. What does this imply about l in relation to kn?
please
choose one answer A,B,C,orD thank you
Dan buys a property for $200,000. He is offered a 25-year loan by the bank, at an interest rate of 6% per year. What is the annual loan payment Dan must m ake? OA. $21,903.48 OB. $25,032.54 O C. $15,645.34 D. $18,774.41
1] Determine the reactions at the supports. (20 points) 3 kN 3 m 6 kN 8 kN 2 m
1] Determine the reactions at the supports. (20 points) 3 kN 3 m 6 kN 8 kN 2 m
Problem 3 Draw the shear and moment diagrams for the following beams. 20 kN 40 kN/m 150 kN m 8 m 8 kN 8 KN 15 kN/m 20 kN .m .75 m1 m I m0 0.25 m 1 m
15 kN 25 kN-m 25 kN-m 7 kN/m m-13m2 a) Determine the reactions at supports A and D. (5points) b) Write functions for shear force (V) in terms of x (12 points) c) Write functions for bending moment (M) in terms of x. (16 points)
Consider the given beam and loading.
Determine the magnitude and location of the maximum absolute
value of the bending moment. (Round the final answer to one decimal
place.)
25 kN/m 20 kN-m In
25 kN/m 20 kN-m In
Use Castigliano's theories to obtain vertical displacement of
the truss point C.
E 3 m B C A 3 m 3 m 3 m 20 kN 20 kN LLI LL
E 3 m B C A 3 m 3 m 3 m 20 kN 20 kN LLI LL
Sketch the restraining forces at each joint for the structure shown below. 30 kN/m 20 kN/m 25 kN/m 4m 6m 5m
QUESTION 2 For the below loaded truss, P1-20 kN, P2 30 kN, P3-40 kN. 3 m B 12 m--2 m--2 m--2 m--2 m-1-2 m- P Choose the best answer for the force in member KC in kN if the vertical reaction Gy 33.33 kN. State d the member is in tension (T) or compression (C) 12.67 (C) a.67 (C) 6.6 (D 12.67 ( For the below loaded truss, P1-20 kN, P2 30 KN, P3-40 kN. H 3 m D F...
Determine reactions
(6) 356 kN 43.8 kN/m Hinges 25m 17m 25 m 25 m