The management of a forestry company estimates that acres of forest available for logging will increase at a rate given by R(t) = 56/root t + 7 for 0 leq t leq 20, where R(t) is the rate of new acreage becoming available in thousands of acres per year, t years after the current year. How many acres of forest, Q(t), will become available for logging over the first five years? A. 46 thousand acres.
B. 148 thousand acres.
C. 296 thousand acres.
D. 92 thousand acres.

Step-by-step explanation:

If the acres of forest available for logging will increase at a rate given by

R(t) = 56/√t + 7

In order to determine the acre of forest that become available after 5 years, we will substitute t = 5 into the formula.

R(5) = 56/√5 + 7

R(5) = 56/2.236 + 7

R(5) = 25.044 + 7

R(5) =  32.044

The amount that will be available over the first five years is 32 thousand acres

"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: