Answer:
D. She used the beach's ball's diameter when she should have used the radius
Step-by-step explanation:
To find the volume of the beach ball, using the volume of a sphere is the right formula to use, which is ⁴/3πr³.
The formula she used is correct.
Since the diameter of the ball is assumed to be 12 inches, what is needed to find the volume is the radius.
Radius (r) = ½(diameter) = ½(12) = 6 in.
This is where Emily made a mistake.
She used the diameter of the beach ball instead of its radius (r) which is needed in the equation.
She should have gotten,
V = ⁴/3(3.14)(6)² = 904.32 cubic inches
Answer:
Runners that decrease times are not improving
Step-by-step explanation:
Answer:
Step-by-step explanation:
Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:
![x^2+6x=-9](https://tex.z-dn.net/?f=x%5E2%2B6x%3D-9)
Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:
![x^2+6x+9=-9+9](https://tex.z-dn.net/?f=x%5E2%2B6x%2B9%3D-9%2B9)
The reason we do this is to create a perfect square binomial on the left:
(obviously the 0 results from the addition of 9 and -9). Move the 0 back over to the other side and set the quadratic back equal to y:
![(x+3)^2+0=y](https://tex.z-dn.net/?f=%28x%2B3%29%5E2%2B0%3Dy)
This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.
Answer:
They're similar in that they both have to maintain a steady rate of rise as they grow. While graphing, you can't adjust the slope or exponent after traveling up a graph.
Step-by-step explanation: