The ball will hit the ground at 0.125 seconds
<h3>Quadratic function</h3>The equation of the function is a quadratic function, and the function is given as:
When the ball hits the ground, the value of h is 0.
So, the equation of the function becomes
Subtract 2t from both sides of the equation
Divide both sides by -2t
Divide both sides by 8
Hence, the ball will hit the ground at 0.125 seconds
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After 200 years, 9.84 grams of Cesium would remain.
Let N represent the amount of substance after t years
The half-life of a cesium is 30 years., hence, this can be represented by exponential function:
where a is the initial value and b is the multiplier.
There were initially 1000g of the substance
a) The exponential model for this situation is:
b) After 200 years (t = 200), the amount of Cesium remaining is:
Hence after 200 years, 9.84 grams of Cesium would remain
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