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Which sequence of translations, rotations, and reflections produces △P’Q’R’ from the pre-image △PQR?

1. a reflection across the y-axis followed by a clockwise rotation 90° about the origin
2. a reflection across the x-axis, followed by a counter-clockwise rotation 90° about the origin, followed by a translation 4 units down and 4 units to the left
3. a counter-clockwise rotation of 90° about the origin followed by a translation 4 units to the right
4. no sequence of translations, rotations, and reflections because the images are not congruent

Apolynomial has two terms. check all of the factoring methods that should be considered. common factor difference of cubes sum of cubes difference of squares perfect-square trinomial factoring by grouping

Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). suppose your car averages 33 miles per gallon on the highway if your average speed is 54 miles per hour, and it averages 22 miles per gallon on the highway if your average speed is 75 miles per hour. answer parts (a) and (b) below. a. what is the driving time for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the driving time at 75 miles per hour? the driving time at 54 miles per hour is nothing hours. (type an integer or decimal rounded to two decimal places as needed.) the driving time is at 75 miles per hour is nothing hours. (round to two decimal places as needed.) b. assume a gasoline price of $3.33 per gallon. what is the gasoline cost for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the gasoline cost at 75 miles per hour? the gasoline cost at 54 miles per hour is $ nothing. (round to two decimal places as needed.) the gasoline cost at 75 miles per hour is $ nothing. (round to two decimal places as needed.)

You roll a fair 66-sided die. what is \text{p(roll less than 4})p(roll less than 4)? if necessary, round your answer to 22 decimal places.