Solve the system of equations using any method: x  – 2 y + 3 z = 1 2 x  –  y + 2 z = 2 4 x  +  y + 2 z = 2 What is the value of in the solution?

As everyone knows, the greatest actor of this or any other generation is Nicholas Cage. In his 2020 film “Jiu Jitsu”, he explains that every six years a comet comes and causes a portal to open, through which a spaceman comes to earth after which chaos ensues.  Convert 6 years into seconds. If such a comet actually existed and had a circular orbit around the sun, what would be the orbital radius of this comet (the mass of the sun is 1.99×10^30 kg)? Nothing in the solar system orbits in circular orbits. What shape is the orbit of objects in the solar system?

A certain pendulum has a period of oscillation on earth of 2.4 sec. If it is taken to Planet X, it has a period of oscillation of 5.9sec. What is the acceleration due to gravity on the surface of Planet X? To what new length should the pendulum be extended to make its period of oscillation on Planet X be double?

You have a 4.7kg block of ice that is at -23 deg C. If you want to end up with 4.7kg of liquid water at 93 deg C, how much heat do you need to add to the ice? (Specific heat of liquid water = 4,186J/kg degC; Specific heat of Ice = 2090 J/kg degC; Latent heat of fusion for ice = 334,000J/kg)

A 12m long bar made of copper starts at 21 deg C and is heated to 189 deg C. What is final length of the bar? The coefficient of linear expansion for copper is 17×10^-6/deg C.

A grandfather brings his 7-month-old granddaughter to the clinic with a diaper rash. Which of the following is a description consistent with a Candida diaper rash?

Bonus:  Which theorist studied suicide to prove that sociology could be considered an academic discipline?  What was the objective behind the Stanford Prison Experiment? Give two ways that research ethics were violated in the Tuskegee Study?   Before we developed the need for written contractual agreements in the US, how did men seal a contract? (from the culture lecture) Explain why English is the most widely spoken language in the world?   

A 2-month-old girl presents for a well-child check.  She was born to a 24-year-old G4P3 mother through normal spontaneous vaginal delivery. Her mother reports that the infant was in the breech position during the third trimester.  On physical exam, she has asymmetrical thigh creases in the groin and when the hip is externally rotated under stress a pop is felt. Which of the following is most appropriate intervention at this time?

Desistance refers to an inmate making amends with their victim.

Prisons do not need to provide medical care for inmates.