The function a=a_oe^{-0.01155x} a = a o e − 0.01155 x models the amount in pounds of a particular radioactive material stored in a concrete vault, where a_o a o is the original amount of material and x is the number of years since the material was put in the vault. if 900 pounds of material are placed in the vault, how much time will need to pass for only 357 pounds to remain? round your answer to the nearest tenth.

80.1 years of time will be needed to pass.

Step-by-step explanation:

Given expression:

Given :

A = 357 pounds

x = ?

Using the given expression:

Taking ln both sides:

x = 80.0570 years ≈ 80.1 years

80.1 years of time will be needed to pass.

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

step-by-step explanation:

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