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Evaluate the function for the given value of x. f (x) = x2 – 4x, g(x) = 2x – 4, (f ∘ g)(-2) = ?

The nth term of a sequence is given. Write the first four terms of the sequence. an = n(n3 – 8)

Refer to the values of k(x) and p(x) in the table, and evaluate the function for the given value of x. x k(x) p(x) -3​ -6​ -7​ -2​ 6​ 1​ 1​ 2​ 4​ 6​ -2​ 5​ (p ∘ k)(-2)

The nth term of a sequence is given. Find the indicated term.an = – 3; a10

Solve the problem.Danielle stayed in three different cities (Washington, D.C., Atlanta, Georgia, and Dallas, Texas) for a total of 22 nights. She spent twice as many nights in Dallas as she did in Washington. The total cost for 22 nights (excluding tax) was $3,100. Determine the number of nights that she spent in each city. Let x, y, and z represent the number of nights in Washington, D.C., Atlanta, Georgia, and Dallas, Texas, respectively. First, write the system of linear equations. Second, write the Augmented Matrix for the system of linear equations then solve using the Gauss-Jordan Elimination. Please show the initial matrix, all the row operations in order, and the final matrix for credits.  

7. A circular loop of wire of area 25 cm2 lies is the plane of the paper.   An increasing magnetic field B is coming out of the paper. What is the direction of the induced current in the loop?  

1. The figure below shows a charged particle +q moving through a magnetic field, B. What is the direction of the force on this particle?  

11. A 20 cm long solenoid has 500 turns and carries a current of 3.0 A. The magnetic field at its center is

3.  A circular loop of wire is in a region of a uniform magnetic field. The magnetic field is directed into the page and is increasing in intensity. The direction of the induced current in the loop is

9.  A conducting rod of length L=0.65 m and a resistance of 2.0