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)

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

step-by-step explanation: 4 cause 2+2=4