Sammy has a hamster, chipper. in chipper’s cage is a hamster wheel with a diameter of 6 inches and it takes 3 seconds to make a full revolution. the wheel has a little dented spot from when sammy dropped it once. when the dent on the wheel reaches the top, it is 6.5 inches above the floor of the cage. sammy is timing the revolutions of the wheel. if the dent reaches the top at the 8 second mark, at what second will it be .5 inches above the floor of the cage?

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

You can ride your bike around your block 6 times and the whole neighborhood 5 times in 16 minutes. you can ride your bike around your block 3 times and the whole neighborhood 10 times in 23 minutes. how long does it take you to ride around the neighborhood?

The figure shows triangle def and line segment bc, which is parallel to ef: triangle def has a point b on side de and point c on side df. the line bc is parallel to the line ef. part a: is triangle def similar to triangle dbc? explain using what you know about triangle similarity. part b: which line segment on triangle dbc corresponds to line segment ef? explain your answer. part c: which angle on triangle dbc corresponds to angle f? explain your answer. asap