She had bread for the hungry, clothes for the naked, and comfort for every mourner, that came within her reach. Slavery soon proved its ability to divest of her heavenly qualities. Under its influence the tender heart became stone, and the lamb-like disposition gave way to one of the tiger-like fierceness. From the excerpt above, which statement best describes the changes in his mistress’s character? She was always loyal only to the laws and to her husband. He felt sorry for her since she was oppressed, too. The change in her character was inexcusable. She was unwilling to face the conflict of betraying her culture for her personal beliefs.
In this question it is given that

And we have to find the value of the given limit

Using properties of limit, first we separate the two functions, that is

Substituting the values of the given limit,

Answer:
C. 128/3 meters cubed
Step-by-step explanation:
The volume of a cylinder is denoted by:
, where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:


We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:



Now, the volume of a sphere is denoted by:
, where r is the radius. From above, we know that
, so we can plug this into the equation:


Thus, the answer is C.
Answer:
x = 17/2
Step-by-step explanation:
x-3 x+8
------ = ------------
2 6
Using cross products
(x-3) *6 = 2 (x+8)
Distribute
6x - 18 = 2x+16
Subtract 2x from each side
6x-2x-18 = 2x-2x+16
4x-18 = 16
Add 18 to each side
4x-18+18 = 16+18
4x = 34
Divide each side by 4
4x/4 = 34/4
x = 17/2