Answer:
V= 1689.46 cubic inch
Step-by-step explanation:
V= πr²(h/3)
π= 3.14
r= 13.7 in
h= 8.6 in
V= 3.14 x 13.7² x 8.6/3 = 1689.46025333
Rounded answer : 1689.46
Explanation:
In order to prove that affirmation, we define the function g over the interval [0, 1/2] with the formula 
If we evaluate g at the endpoints we have
g(0) = f(1/2)-f(0) = f(1/2) - f(1) (because f(0) = f(1))
g(1/2) = f(1) - f(1/2) = -g(0)
Since g(1/2) = -g(0), we have one chance out of three
- g(0) > 0 and g(1/2) < 0
- g(0) < 0 and g(1/2) > 0
- g(0) = g(1/2) = 0
We will prove that g has a zero on [0,1/2]. If g(0) = 0, then it is trivial. If g(0) ≠ 0, then we are in one of the first two cases, and therefore g(0) * g(1/2) < 0. Since f is continuous, so is g. Bolzano's Theorem assures that there exists c in (0,1/2) such that g(c) = 0. This proves that g has at least one zero on [0,1/2].
Let c be a 0 of g, then we have

Hence, f(c+1/2) = f(c) as we wanted.
Answer:
14
Step-by-step explanation:
Use rise over run, (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(8 + 20) / (5 - 3)
28 / 2
= 14
So, the slope is 14.
Answer:
1) 12
2) c=-25
3) x = -16 2/3
Step-by-step explanation:
1) ..........................
- 6*(4-10+8) =
- 6*(- 6+8) =
- 6*2=
- 12
2) ..........................
- 34 + 2c = -16
- 2c = - 16 -34
- 2c = -50
- c = -50/2
- c=-25
3) ..........................
- 40 = -3x - 10
- 40+ 10 = -3x
- -3x = 50
- x = 50/-3
- x=-16 2/3
Answer:
The correct option (c) "is held together by ionic bonds".
Step-by-step explanation:
Table salt is NaCl. It is a combination of Sodium and Chlorine.
There is 1 valance electron in sodium. Its electronic configuration is 2,8,1
The electronic configuration of Chlorine is 2,8,7. It means that it needs 1 electron so that its octet gets completed.
Na transfers one electron to Cl. It becomes Na⁺. Cl gains one electron From Na. It becomes Cl⁻.
As a resuslt, Na⁺ and Cl⁻ forms. Both Na and Cl are ions. They held together by ionic bonds.