1. Meteorologists can determine the duration of a storm by using the function defined by T(D)= 0.07D3/2, where D is the diameter of the storm in miles and T is the time in hours. Find the duration of a storm with a diameter of 16 mi. Round your answer to the nearest tenth of an hour.

2. The threshold weight T, in pounds, for a person is the weight above which the risk of death increases greatly. The threshold weight in pounds for men aged 40 – 49 is related to height h in inches by the function defined by h(T)=(1860.867T)1/3. What height corresponds to a threshold weight of 200 lb for a 46 yr – old man? Round your answer to the nearest inch and then to the nearest tenth of a foot.

1. 4.48 hours

2. 72 inches and 6 feet.

Step-by-step explanation:

1. The function defined by helps Meteorologists to determine the storm duration, where D is the diameter of the storm in miles and T is the time in hours.

So, the song duration in hours for a storm diameter of 16 miles will be

hours. (Answer)

2. The threshold weight (T), in pounds for men aged 40 – 49 is related to height h in inches by the function defined by .

Therefore, the height in inches corresponding to a threshold weight of 200 lbs for a 46 yr-old man will be

inches ≈ 72 inches (to the nearest inches)

= 5.994 feet ≈ 6 feet ( to the nearest tenth of a foot) (Answer)

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step-by-step explanation:

inch

step-by-step explanation:

yard and mile are too big.