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Solve the problem.One rope pulls a barge directly east with a force of 44 N, and another rope pulls the barge directly north with a force of 81 N. Find the magnitude of the resultant force acting on the barge.

Perform the indicated operation.v = -2i – 6j – 3k and w = 2i + 3j + 5kFind  | v | – | w |. Type your answer in the given answer box.  You may need to use the equation editor found in the editing menu.  If the equation editor is not showing, click on the three vertical dots to expand the menu.  

Find a vector orthogonal to both v and u.v = -3i – 4j + k, u = -4i + 4j + 3k Type your answer in the given answer box.  You may need to use the equation editor found in the editing menu.  If the equation editor is not showing, click on the three vertical dots to expand the menu.  Be sure to use vector notation!  (Either use component form or i, j, k form.) 

Find the specified vector or scalar.u = -8i + j and v = 3i + j; Find  | u + v |. Type your answer in the given answer box.  You may need to use the equation editor found in the editing menu.  If the equation editor is not showing, click on the three vertical dots to expand the menu.  

Give the equation of the plane described below.The plane through the point (1, -4, -5) and parallel to the yz-plane Equation of the plane:  [xyz] = [number]

When activating a HERT response, the IC should consider that it may take a minimum of _____________________ minutes for a team to arrive on the scene.  (policy 8060)

You are called to the scene of a 67-year-old male with a c/c of “chest pressure for fifteen minutes.” The pain was unprovoked and was followed by nausea and vomiting.  He rates the pain at a 10.   The patient said he had a “heart attack” a year ago.  He took sildenafil two nights ago and has no known allergies. His BP is 122/76, P 82 IRR, and RR 20 CBL.  The monitor shows a Sinus Rhythm with frequent PVCs. You place him on O2. and establish an IV of NS. (policy 14040 & 14240) What further intervention(s) should you consider?

You are on scene with a third-trimester pregnant patient. She is currently seizing.  The family states she has been seizing for approximately ten minutes and has no previous seizure history.  You place her on high-flow oxygen by mask and establish a large bore IV. (policy 14210) What should your next intervention be?

Which of the following are listed in the scope of an MCI as defined by Medical Response to an MCI protocol 8080? Select all that apply.

Questions 80-84 are associated with the following scenario: (policy 3305) An MCI has been declared for a vehicle rollover on the freeway. There are 5 patients. Two have self-extricated and walked to the shoulder of the road. Three patients need to be triaged and extricated from the vehicle. Triage and treat patients according to START standards.   19-year-old male driver c/o head pain. He has profuse bleeding from an open scalp wound and a broken femur. Peripheral pulse is present at about 90, respirations 20. He is awake, confused, and fails to follow commands. The appropriate Triage Category for this person is: