Next year, you will be taking three college courses, English 101, Math 101, and History 102. The English course is taught by Mr. Jefferies and Mrs. Adams. The Math course is taught by Dr. Garmin, Mr. Hancock, and Miss Star. The History course is taught by Dr. Fynstein and Ms. Rogers.

On a sheet of paper, neatly draw a tree diagram to determine the sample space of the different ways you could take the courses based on the teachers. Below the diagram list the sample space. Use the first initial of the last name of each teacher.

/is used for a fraction 1) if x = 2/3 and y = 3/4, what is the value of (x + y) (x/y) expressed as a common fraction? 2) what is the least positive integer greater than 1 that leaves a remainder of 1 when divided by each of 2, 3, 4, 5, 6, 7, 8, and 9? 3) the ponde family's powerjet pumps 420 gallons of water per hour. at this rate, how many gallons of water will it pump in 45 minutes? 4) kim's insurance company pays 80% of the cost of all prescription medication she purchases in a year beyond the first $250 worth of prescriptions. her prescriptions for this year cost a total of $570. how many dollars of this amounts will kim's insurance company pay?

In δabc, m∠acb = 90°, cd ⊥ ab and m∠acd = 45°. find: a find cd, if bc = 3 in

Show all work to identify the discontinuity and zero of the function f of x equals 6 x over quantity x squared minus 36