Answer: 226.19
Step-by-step explanation:
General Idea:
If we have a quadratic function of the form f(x)=ax^{2} +bx+c , then the function will attain its maximum value only if a < 0 & its maximum value will be at x=-\frac{b}{2a} .
Applying the concept:
The height h is modeled by h = −16t^2 + vt + c, where v is the initial velocity, and c is the beginning height of the firecracker above the ground. The firecracker is placed on the roof of a building of height 15 feet and is fired at an initial velocity of 100 feet per second. Substituting 15 for c and 100 for v, we get the function as
.
Comparing the function f(x)=ax^{2} +bx+c with the given function
, we get
,
and
.
The maximum height of the soccer ball will occur at t=\frac{-b}{2a}=\frac{-100}{2(-16)} = \frac{-100}{-32}=3.125 seconds
The maximum height is found by substituting
in the function as below:

Conclusion:
<u>Yes !</u> The firecracker reaches a height of 100 feet before it bursts.
Answer:
135 units²
Step-by-step explanation:
height = √17²-8²=√289-64=√225=15
area = 9×15 = 135 units²
Answer:
53.3333.
Step-by-step explanation:
Since were asking to put 32 in the form of this ratio, we need to first turn the ratio into a fraction, in our case it is 5/3. Next we multiply 32 by 5/3 or to make it more simple multiply 32 by 5 to get 160, then divide 3 to get 53.3...
Hope this helps.
Answer:
x=pn/m
Step-by-step explanation:
Divide both sides by m to isolate x from the other variables.
mx/m = pn/m
cancel out the m where possible.
x = pn/m