Answer:
24/35
Step-by-step explanation:
A 20-pack of Dr. Pepper cost $5.50 and a 6-pack cost $1.50. Which is the better deal?
1 answer:
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It is given in the question that the solid is a cone with height of 16 units and radius of 7 units .
The formula of volume of cone is
To find the volume, we substitute the given values of r and h and use 3.14 for pi. That is
And that's the required volume of the cone .
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.