First we find the vertex of parabola

The vertex of parabola is

Here,
b = coefficient of x term
a = coefficient of x² term
For given parabola, b = 0 , a = -12
So,

And,

Thus the vertex of parabola is (0, 7)
To find another point on parabola, substitute x by 1.

So the second point on parabola is (1,-5)
The plot of parabola is shown in image below:
Answer:
Sphere Volume = (4/3) * PI * radius^3
radius = cube root (Sphere Volume) / (4/3)*PI
radius = cube root (5,600) / (4/3)*PI
radius = 11.016 cm
radius = 11 cm (rounded)
Answer is B
Step-by-step explanation:
If the null hypothesis,

is rejected, then we can conclude that the correlation coefficient is significant. This means that there is enough evidence to conclude that a relationship exists between the two (or more) variables involved in the regression.
Answer: C. Parabola
Definition: a parabola is a conic section in which it is mostly characterised of having a U-shape wherein it is symmetrical and an open plane curve.
Answer:
a=1
b= 1/16
c= 1/256
d= 1
e= 4/9
f= 16/81
Step-by-step explanation:
Plug in the values of X on the left side of the table into the function on the right side of the table. Remember that negative exponents mean the number is under a fraction. 4^-0 is like saying one over 4^0.
For the blue table, because the numbers are already in a fraction and in parentheses, you apply the exponent to each number individually.