Meanwhile, at the ballpark juan was practicing his hitting while talking to the girls standing around watching. he started telling them how he hit the ball over the 50 foot light tower yesterday. the girls were unsure that he really did that. the formula for this hit is:
h(x)=-16x^2+60x+4 where h is the height of the ball and x is the number of seconds the ball is in the air. how high did juan actually hit the ball?

5.2 seconds

Step-by-step explanation:

We want to determine the value of x when h(x) = 0

:

-16x^2 +83x + 4 = 0

:

use quadratic formula to determine the value for x

:

x = ( -83 + sqrt(83^2 - 4*(-16)*4) ) / (2*(-16) = −0.047753182

:

x = ( -83 - sqrt(83^2 - 4*(-16)*4) ) / (2*(-16) = 5.235253182

:

we want the positive value for x since time runs forward

:

the ball hung in the air for approx 5.2 seconds

to rewrite a literal equation you may need to divide by a number, or by a variable.

hope i .

"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: