Answer:
A. 2
B. 5
C. 6
D. 16
E. 19
F. - 32
G. - 125
H. 17
Step-by-step explanation:
A.
![(-2)^{3}+10\\\\=- 8 + 10\\\\=2](https://tex.z-dn.net/?f=%28-2%29%5E%7B3%7D%2B10%5C%5C%5C%5C%3D-%208%20%2B%20%2010%5C%5C%5C%5C%3D2)
B.
![21 - 4^{2}\\\\=21-16\\\\=5](https://tex.z-dn.net/?f=21%20-%204%5E%7B2%7D%5C%5C%5C%5C%3D21-16%5C%5C%5C%5C%3D5)
C.
![-5^{2}+31\\\\=-25 + 31\\\\=6](https://tex.z-dn.net/?f=-5%5E%7B2%7D%2B31%5C%5C%5C%5C%3D-25%20%2B%2031%5C%5C%5C%5C%3D6)
D.
![-(3)^{2}+5^2\\\\=-9 + 25 \\\\=16](https://tex.z-dn.net/?f=-%283%29%5E%7B2%7D%2B5%5E2%5C%5C%5C%5C%3D-9%20%2B%2025%20%5C%5C%5C%5C%3D16)
E.
![10^{2}-9^{2}\\\\=100 -81\\\\=19](https://tex.z-dn.net/?f=10%5E%7B2%7D-9%5E%7B2%7D%5C%5C%5C%5C%3D100%20-81%5C%5C%5C%5C%3D19)
F.
![-(-2)^{4}-4^2\\\\=-16-16\\\\=-32](https://tex.z-dn.net/?f=-%28-2%29%5E%7B4%7D-4%5E2%5C%5C%5C%5C%3D-16-16%5C%5C%5C%5C%3D-32)
G.
![-(-7+2)^{2}-10^2\\\\=-25-100\\\\=-125](https://tex.z-dn.net/?f=-%28-7%2B2%29%5E%7B2%7D-10%5E2%5C%5C%5C%5C%3D-25-100%5C%5C%5C%5C%3D-125)
H.
![-8^{2}+(6-9)^4\\\\=-64+81\\\\=17](https://tex.z-dn.net/?f=-8%5E%7B2%7D%2B%286-9%29%5E4%5C%5C%5C%5C%3D-64%2B81%5C%5C%5C%5C%3D17)
Answer:
The rope is 94.65 feet.
Step-by-step explanation:
Answer:
A) The relationship is directly proportional; as temperature increases, volume increases in the same way.
Step-by-step explanation:
Charles's law states that at a constant pressure, the volume of fixed a mass of a gas is directly proportional to its absolute temperature or kelvin temperature.
This law explains the direct relationship between Volume of the gas and its Kelvin temperature. That is, as Temperature increases, the volume of the gas increases.
Thus, the correct statement is "The relationship is directly proportional; as temperature increases, volume increases in the same way".
Answer:
A) 8d^2/3c
B) 3a^2b^3
Step-by-step explanation:
Okay so to find the slope the formula is y2 - y1 / x2 - x1. so the answer is -8/3.