Because of a problem in the program, the timer in a video player did not begin counting until the video had been playing for several seconds. The player began counting at 0 seconds, even though the video had already played 190 frames. The video plays 25 frames per second.How many frames had the video already played when the time was equal to −352 seconds?□ frames
Q. Because of a problem in the program, the timer in a video player did not begin counting until the video had been playing for several seconds. The player began counting at 0 seconds, even though the video had already played 190 frames. The video plays 25 frames per second.How many frames had the video already played when the time was equal to −352 seconds?□ frames
Understand the problem: Understand the problem.We need to find out how many frames the video had played before the timer started, given that the timer started at 0 seconds but the video had already played 190 frames. Additionally, we need to calculate the number of frames played during the time that is not counted by the timer, which is −53 seconds before the timer started.
Convert to frames: Convert the time in seconds to frames.Since the video plays at a rate of 25 frames per second, we can calculate the number of frames played during −53 seconds by multiplying the time in seconds by the frame rate.
Calculate frames played: Calculate the number of frames played during −53(2) seconds.First, convert the mixed number −3(2)/5 to an improper fraction: −3(2)/(5)=−5(3×5+2)=−517.Now, multiply this by the frame rate (25 frames per second):Number of frames = (−517)×25
Perform multiplication: Perform the multiplication to find the number of frames.Number of frames = (−517)×25=−17×5=−85 frames.This means that 85 frames were played during the −3(52) seconds before the timer started.
Add frames played: Add the number of frames played before the timer started to the frames played during the uncounted time.We know that 190 frames were played before the timer started counting, and we have calculated that an additional 85 frames were played during the −53 seconds before that.Total frames played = 190 frames + (−85 frames)
Calculate total frames: Calculate the total number of frames played.Total frames played = 190−85=105 frames.This is the number of frames that had been played when the time was equal to −23(52) seconds.