Started at the same time from a very flat surface and 8 mm apart, two snails are vertically climbing up a wall at uniform speeds. If one of the snails is climbing at the rate 2 mm/s, while the other is 3 mm/s faster than the first, determine how fast they are separating from each other after 5 seconds they started. Ignore the dimensions of the snails for simpler analysis. 34 mm/s 45 B mm/s 17 2 mm/s 67 mm/s 39
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- Another researcher at the Center for Disease Control and Prevention, Lisa, is studying the growth of a bacteria. She starts his experiment with 50 of the bacteria that grows at a rate of 15% per hour. He will check on the bacteria every 8 hours. How many bacteria will he find in 8 hours?The upper end of the ladder 5 m long leans against a vertical wall. Suppose the foot of the ladder slips away from the wall at the rate of 0.1 m/min. When is the top of the ladder descending at the rate of 0.15 m/min? a) x = 4.21 b) x = 5.11 c) x = 4.16 d) x = 3.86The original 24 m edge length of a cube decreases at the rate of 2 m divided by two minutes When x=1 m, at what rate does the cube’s surface area change and when x=1 m, at what rate does the cubes volume change ?
- In order to campare the difference between clinical diagnosis and B ultrasonic for 120 gallstones patients. Each patient with two kind of Methods for the diagnosis, the results as following: The positive rate of clinical diagnosis is 50%, The positive rate of B ultrasonic is 60%, The positive rate of two methods at the same time is 35%. How to analysis the difference between two methods?The kinetic energy K of a movingobject varies jointly with its mass m and the square of itsvelocity v. If an object weighing 25 kilograms and movingwith a velocity of 10 meters per second has a kinetic energyof 1250 joules, find its kinetic energy when the velocity is15 meters per second.A bucket that weighs 4 pounds and a rope of negligible weight are used to draw water from a well that is 80 feet deep. The bucket is filled with 40 pounds of water and is pulled up at a rate of 1.5 feet per second, but water leaks out of a hole in the bucket at a rate of 0.25 pounds per second. Find the work done pulling the bucket to the top of the well.
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