Aball is thrown from the top row of seats in a stadium. the function h(t) = –16t2 + 16t + 96 gives the height, h, in feet, of the ball t seconds after it is thrown. how long will it be before the ball hits the ground?

The ball will hit the floor after 3 seconds.

The given equation is,

Height,

By dividing the above equation by "16", we get

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By factorizing, we get

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Time can't be negative. Thus the above answer i.e., 3 is correct.

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  3 seconds

Step-by-step explanation:

We assume the ground is where h=0, so the equation we need to solve is ...

  0 = -16t^2 +16t +96

Dividing by -16 gives ...

  0 = t^2 -t -6

Factoring, we get ...

  0 = (t -3)(t +2)

This has solutions t=3 and t=-2. Since we know the ball won't land 2 seconds before it is thrown, the solution is ...

  It will be 3 seconds before the ball hits the ground.

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse

"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: