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Solve the problem.(6 points) The length of a rectangle is 6 yd more than twice the width  x. The area is 416 yd 2. Find the dimensions of the rectangle.

Consider a system with 5 processes (P0–P4) and 3 resource types (A, B, C). The system state is given below. Allocation Matrix Process A B C P0 0 1 0 P1 2 0 0 P2 3 0 2 P3 2 1 1 P4 0 0 2 Maximum Matrix Process A B C P0 7 5 3 P1 3 2 2 P2 9 0 2 P3 2 2 2 P4 4 3 3 Available Resources Available = (3, 3, 2) Tasks Compute the Need matrix. Determine whether the system is in a safe state. If it is safe, find the safe sequence of processes.

Simplify the expression in terms of i:

Solve the problem.(8 points) The JUST-SAY-MOW lawn mowing company consists of two people: Marsha and Bob. If Marsha cuts the lawn by herself, she can do it in 3 hours. If Bob cuts the same lawn himself, it takes him an hour longer than Marsha. How long would it take them if they worked together? Round to the nearest hundredth of an hour.

Explain Interprocess Communication (IPC) in operating systems. Your answer should include: Definition of cooperating processes Two IPC mechanisms: Shared Memory Message Passing Advantages and disadvantages of each method One real-world example where IPC is used.

Solve the compound inequality. Graph the solution set, and write the solution set in interval notation.-1 ≤   < 4

Solve the rational equation.  +   = 

Solve the equation by using substitution.( t + 3) 2 – ( t + 3) – 12 = 0

Solve the problem.(8 points) The JUST-SAY-MOW lawn mowing company consists of two people: Marsha and Bob. If Marsha cuts the lawn by herself, she can do it in 3 hours. If Bob cuts the same lawn himself, it takes him an hour longer than Marsha. How long would it take them if they worked together? Round to the nearest hundredth of an hour.

Solve the problem.(6 points) The length of a rectangle is 6 yd more than twice the width  x. The area is 416 yd 2. Find the dimensions of the rectangle.