Suppose a bicycle is traveling at a speed of 15 miles per hour. The bicycle chain connects two gears, one attached to the wheel and one attached to the pedals. The radius of the bicycle wheels is 10 inches, and the radius of the gear attached to the wheel is 2 inches. If the radius of the gear connected to a pedal gear is 5 inches, find the angular velocity of the pedal gear in radians per second.

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Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.

Given the quadratic function f(x)=3x^2-24x+49 a. use “completing the squares” to convert the quadratic function into vertex form b. state the vertex c. find the x and y intercepts d. graph the function