Weather balloons are filled with hydrogen and released at various sites to measure and transmit data about conditions such as air pressure and temperature. A weather balloon is filled with hydrogen at the rate of 0.5 ft^3/s. Initially, the balloon has 4 ft^3 of hydrogen. Initially, the balloon has 2 ft^3 of hydrogen. Required:
a. Find a linear function V that models the volume of hydrogen in the balloon at any time t.
b. If the balloon has a capacity of 15 ft^3, how long does it take to completely fill the balloon?

a) The linear function that models the volume of hydrogen in the balloon at any time is .

b) 26 seconds are needed to completely fill the balloon.

Step-by-step explanation:

The statement has a mistake, the correct form is described below:

Weather balloons are filled with hydrogen and released at various sites to measure and transmit data about conditions such as air pressure and temperature. A weather balloon is filled with hydrogen at the rate of . Initially, the balloon has of hydrogen.

a) The volume of weather balloons is increasing linearly in time (), in seconds, since the rate of change of volume (), in cubic feet per second, is stable. The linear function of the volume of the weather balloon in terms of time is:

(1)

Where:

- Current volume, in cubic feet.

- Initial volume, in cubic feet.

If we know that and , then the volume as a function of time is:

b) If we know that and , then the time taken to fill the balloon is:

26 seconds are needed to completely fill the balloon.

1gm = 1000mg so 0.1gm = 1000mg

first, convert the weight to kg

160lb * 1kg/2.2lb = 72.7kg

next, the dose

72.7kg * 100mg/kg = 7270mg

360/29

step-by-step explanation: