Bosco

   We have a piece of wire.  We pass $500$ volts through this wire and measure $25$ milliamps of current.     

   If I cut the wire in half and pass $175$ volts through it, how many milliamps of current will I measure?     

   Use Volts and Amps to find Ohms                      V = I • R    ==>>    R  =  V / I     

   Note that 25 mA is 0.025 A                                                               R  =  500 V / 0.025 A     

                                                                                                             R  =  20,000 Ω     

   Use Volts and Ohms to find Amps                       V = I • R    ==>>    I  =  V / R     

   Note that cutting the wire in half halves the R                                   I  =  175 V / 10,000 Ω     

                                                                                                              I  =  0.0175 A     

   Note that 1 A is 1,000 mA                                                                  I  =  17.5 mA     

   _.     

   A circle is inscribed in a rhombus with sides of length 4 cm.     

   If the two acute angles in the rhombus each measure $90^{\circ}$,     

   what is the length of the circle's radius? Express your answer in simplest radical form.     

   If the rhombus has two 90^o angles, the rhombus is the special case of a square.     

   The diameter of a circle inscribed in a square is the same as a side of the square.     

   So the diameter is 4 cm, and the radius is half the diameter, so the radius is 2 cm.     

   _.     

   convert 128 ounces to pounds     

   assuming avoirdupois              128 oz     

                                                    ––––––––  =  8 lb     

                                                      16 ^oz/_lb     

   _.     

   how do you find slope from 2 points?     

   Divide the line's vertical change by it horizontal change.     

   One way to rememberr the process is is "rise over run".     

   Example, given two points on the line:  (8,5) and (12,7)     

                    Δ y           7 – 5            2     

   Slope  =  ––––  =  ––––––––  =  –––  =  1 / 2     

                    Δ x         12 – 8            4     

   _.     

   We have a piece of wire.  We pass $500$ volts through this wire and measure $25$ milliamps of current.     

   If I cut the wire in half and pass $175$ volts through it, how many milliamps of current will I measure?     

   Part 1.  Use Volts and Amps to determine Ohms         E = I • R     ==>>     R  =  E / I     

                                                                                                                         R  =  500 V / 0.025 A     

                                                                                                                         R  =  20,000 Ω     

   Part 2:  Use Volts and Ohms to determine Amps         E = I • R     ==>>     I  =  E / R     

                Note:  Cutting the wire in half halves the R                                      I  =  175 V / 10,000 Ω     

                                                                                                                          I  =  0.0175 A     

                Note:  1 A = 1,000 mA                                                                       I  =  17.5 mA     

   _.     

   Jon teaches ... at an elementary school where class sizes are always at least 100 students and at most 200.     

   One day Jon decides that he wants to arrange the students in their desks in a rectangular grid with no gaps.     

   Unfortunately for Jon he discovers that doing so could only result in one straight line of desks.     

   What is the largest number of students that Jon could have in his class?     

   The number is 199 because 199 is the largest prime number less than 200.     

   If one straight line is the only possible resultant, then the number has to be     

   prime.  A prime number has no factors other than 1 and itself.  A non-prime     

   number could be factored, thus having the possibility of more than a single     

   row of desks.     

   _.     

   the graph of the line with equation 3x+6y+=8 crosses the y-axis when y=?     

   The line will cross the y-axis when x = 0.       So,    3x + 6y = 8     

                                        substitute 0 for x               3(0) + 6y = 8     

                                                                                            6y = 8     

                                                                                              y = ⁸/₆     

                                                                                              y = 1 ¹/₃     

   _.