Answer:
361.7cm²
Step-by-step explanation:
Volume of sphere 1= 8cm³
=
Volume of sphere 2 = 647cm³
But volume of sphere = 4/3πr³
The radius of sphere 2
647 = 4/3πr³
((3*647)/4)/π= r³
5.36544 = r
Surface area = 4πr²
Surface area for the big sphere
= 4π5.36544²
= 361.7cm²
Answer: The required total volume of the glass is 105 cm³.
Answer:

Step-by-step explanation:

When comparing to standard form of a parabola: 
Vertex form of a parabola is:
, which is what we are trying to convert this quadratic equation into.
To do so, we can start by finding "h" in the original vertex form of a parabola. This can be found by using:
.
Substitute in -8 for b and 2 for a.

Simplify this fraction.


The "h" value is 2. Now we can find the "k" value by substituting in 2 for x into the given quadratic equation.

Simplify.


We have the values of h and k for the original vertex form, so now we can plug these into the original vertex form. We already know a from the beginning (it is 2).

Answer:−0.924
Step-by-step explanation:
The correlation is the square root of the coefficient of determination (r2), which is 0.854. The correlation also takes the same sign as the slope, so the correlation is r=-\sqrt{0.854}=-0.924r=− 0.854 =−0.924