answer is attached below with full explanation
The function of the water balloon is an illustration of a quadratic function.
The balloon will splat on the ground after 2.5 seconds
The function is given as:
When the balloon splats on the ground, the value of h(t) is 0.
So, we have:
Expand the expression
Factorize the above expression
Factor out 2t - 5 in the 2t - 5
Split the equation into 2
Rewrite as:
Solve for t
The value of t cannot be less than 0 i.e. negative.
So, we have
Divide 5 by 2
Hence, the balloon will splat on the ground after 2.5 seconds
Read more about quadratic functions at:
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Answer:
C) a positive correlation
Step-by-step explanation:
<em>More people ⇒ Longer time</em> is a positive correlation between those variables. However, <em>longer time</em> is not the desired outcome.
Rather, <em>shorter time</em> is the desired outcome. The correlation between <em>more people</em> and <em>shorter time</em> is negative. In order to compute that correlation numerically, one would have to define a function that would give a numerical value for "shorter time" that would model the goodness of outcome as time gets shorter.
Answer:
n = 39
Step-by-step explanation:
The base angles are congruent, that is
3n = 117 ( divide both sides by 3 )
n = 39