A pendulum's first swing has an arc of 24 inches. As the pendulum swings back and forth, the arc length for each successive swing is 1/2 of the previous swing. If this pattern continues, at which swing of the pendulum will the length of the arc be less than 4 inches?

At swing number the pendulum's arc length will be less than 4 inches.

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1. what is the measure of ∠abc? what is the measure of ∠abd?

Reduce fractions expressing probability to lowest terms. in 3,000 repetitions of an experiment, a random event occurred in 500 cases. the expected probability of this event is?

On the way home from visiting his family, vincent’s plane cruised at an altitude of 3.2 × 10^4 feet. he had heard that a man named felix baumgartner skydived from an altitude of 1.28 × 10^5 feet. vincent wants to know how much higher felix went on his skydiving trip. question 1 you have already seen how adding numbers works in either scientific notation or standard notation. but can you subtract numbers in scientific notation and get the same results as subtracting in standard notation? to find out, first solve vincent’s problem in standard notation. part a write the cruising altitude of vincent’s plane in standard notation.