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Answer all the questions on paper and upload your scanned file when you are done Divide 53 by 12 using the Egyptian system. Then write the reminder as an Egyptian fraction. Show your steps. a) Write [124.12]5 in base 10.             b) Write 124.12 in base 5.  3. The base 2  is still used in many computer applications. So, in base 2, how would you write       a) how many fingers are in one hand?     b) how many days are in January?  4) Show  that 34 is not a triangular number  5) Evaluate the following infinite sum: +… 6) State the definition of commensurable and incommensurable numbers. Are the follow numbers commensurable or not?  5 and 4/3  2 and   3 and Extra credit. Up to 5 pts.  Prove that the  height of an equilateral  triangle is incommensurable with the side

Answer all the questions on paper and upload your scanned file when you are done 7. a) Multiply 33 by 10 using the Egyptian system.     b) Write 10/ 33 as an  Egyptian fraction. Show your steps. 8. a) Write [124.12]20 in base 10.      b) Write 124.12 in base 20. 9. In a far-away galaxy, extraterrestrials only have two fingers per hand.  Using the Martian numerals (0), (1), (2), (3), write: how many months are in a Earth’s year how many days are in a week 10. Prove or disprove the following conjecture: the sum of three consecutive square numbers is always measurable by three after the subtraction of two units. 11. Evaluate the following infinite sum: … State the definition of commensurable and incommensurable numbers. Are the following numbers commensurable or not? 5 and 4/3 2 and and Extra credit. Up to 5 pts.  Prove that the  height of an equilateral triangle is incommensurable with the side

Answer ONE of the following questions. The information that is not related to the questions asked will not be graded. Describe the positional system of numbers used by the Sumerians and compare it with the system of numbers that we use nowadays.  Did the ancient Egyptians use the same system of numbers that the Sumerian use?   Compare   these system of numbers,  pointing out to similarities and differences.   2. When did the  Sumerian  civilization flourish?  Do we have original documents that shed light on  the  Sumerian life and culture?  Which system of numbers did the Sumerian use?   Was their system positional or additive? It is true that the Sumerian knew how to solve quadratic equations? Explain. 3. When did a civilization in ancient  Greece develop?    What are the main known fact about the history of ancient Greece?  Do we have original documents from that period?   How did  Greeks wrote their numbers for everyday purposes?  Was their system of numbers positional or additive? 

What is the primary purpose of the blood-brain barrier?

What type of test is used to specifically identify Cryptococcus neoformans in CSF?

What are the common classifications of joint disorders related to synovial fluid analysis?

When performing sperm morphology analysis, the minimum number of sperm that should be evaluated is: 200

Which finding in CSF might indicate a viral infection?

Describe the importance of crystal analysis in the evaluation of joint disorders.

In cases of bacterial meningitis, what is the expected result for CSF glucose levels compared to plasma glucose?