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Find the center and the radius of the circle. Show your work.x2+y2+6x+14y+33=0

Solve each inequality for x. Graph the solution and write it in interval notation. Show your work. 2 x + 3 ≥ 11 Interval Notation: _________ line.png

Perform the indicated operation(s).Write the answer in standard form a+bi, in the simplest form. Show your work.(2-i)(-5+3i)

Solve the equation. Show your work.2x+2+1x+4=4×2+6x+8x = ________

A `m` kg sled is pulled up a `a`o incline at constant speed. The coefficient of kinetic friction between sled and slope is μₖ = `u`.Question: What magnitude of the pulling force parallel to the incline is required?Enter a number only. Units: N

A 7-year-old presents with a persistent cough lasting 3 weeks. Parents describe sudden, repeated coughing fits followed by a high-pitched inspiratory “whoop.” The child often vomits after these coughing spells but has no fever. Which diagnosis is most likely?

A student pushes a box across the floor at constant speed. Which statement is true?

You are discharging a 9-month-old with mild RSV bronchiolitis who is stable and feeding well. Which of the following is the most important instruction to give the parents about when to return for care?

A school age child is diagnosed with Mycoplasma Pneumonia and will be treated as an outpatient.  Given he does not have any allergies, which antibiotic is the antibiotic of choice?

A 7-month-old infant presents with developmental regression, increased startle response, and decreased motor skills. On exam, the child has hypotonia and a cherry-red spot on the macula. Family history reveals both parents are of Ashkenazi Jewish ancestry. Which of the following is the most likely diagnosis?