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Which of the following bacterial pathogen can create an infectious exacerbation of COPD?

The number  167,940   is divisible by  3. Pretend that you are the teacher and CLEARLY explain USING DIVISIBILITY RULES why this is the case to a 5th grader.  Begin your explanation with:    “A number is divisible by 3 if . . . Be very clear.  (Assume that the 5th grader knows nothing about these rules and they need to be taught to them.)

Mrs. Z, a 55 year old female, comes to see you for continued sputum-producing cough.  She has the cough and sputum most days and it has been present for the past 3 months.  She states that every year she has this cough for at least 3 months at a time.  She denies fever, N/V/D, or other URI sx.  Her CXR yesterday showed no pneumonia.  In your workup, you find no obvious explanation for her cough.  Her most likely diagnosis is:

Given:  1127 a.  List all the prime numbers that must be tested to determine if 1127 is prime or composite.  NO MORE, NO LESS List in numerical order.  Separate with commas, no spaces [a]   b.  Is 1127 prime or composite?  If composite, give its prime factorization. [b]

The number  45,694   is not divisible by  10. Pretend that you are the teacher and CLEARLY explain USING DIVISIBILITY RULES why this is the case to a 5th grader.  Begin your explanation with:    “A number is divisible by 10 if . . . Be very clear.  (Assume that the 5th grader knows nothing about these rules and they need to be taught to them.)

Sam has two pieces of cloth.  One is 114″ wide and the other is 190″ wide.  She wants to cut both pieces into strips of equal size that are as wide as possible (with no leftover cloth).  How wide should she cut the strips?

The number  167,940   is divisible by  6. Pretend that you are the teacher and CLEARLY explain USING DIVISIBILITY RULES why this is the case to a 5th grader.  Begin your explanation with:    “A number is divisible by 6 if . . . Be very clear.  (Assume that the 5th grader knows nothing about these rules and they need to be taught to them.)

The number  167,940   is  divisible by  9. Pretend that you are the teacher and CLEARLY explain USING DIVISIBILITY RULES why this is the case to a 5th grader.  Begin your explanation with:    “A number is divisible by 9 if . . . Be very clear.  (Assume that the 5th grader knows nothing about these rules and they need to be taught to them.)

Is the number  740,716,823  divisible by 11? Demonstrate how to use the  DIVISIBILITY RULE FOR 11   to a 5th grader.   You only need to SHOW ALL THE WORK for the DIVISIBILTY RULE FOR 11, on your paper,  and how you decided that either YES or NO to being divisible by 11.  

A bell rings every 12 minutes.  A second bell rings every 18 minutes.  a.  If both bells ring at 9:30 am, how many minutes will pass until they ring again together? [a] b.  If both bells ring at 9:30 am, what TIME will they ring again together? [b]