Answer:
- 3/4
Step-by-step explanation:
m = difference of y / difference of x = (3 - (-3)) / (-5 -3) = 6 / -8 = - 3 / 4
Putting this as an arithmetic sequence gives:

The sum of the series = 16 x 7 x 7 = 784 m^3 = 784 000 L
The sum of an arithmetic series can be written as:
![S_n=n/2 [2a+(n-1)d] = 784 000 \\n/2[2(150)+(n-1)200] = 784 000 \\n[300+200(n-1)=1 568 000 \\300n+200n^2-200n = 1 568 000 \\200n^2+100n- 1 568 000 = 0 \\2n^2 +n- 15680 = 0 \\n= 88.2...,-88.7](https://tex.z-dn.net/?f=S_n%3Dn%2F2%20%5B2a%2B%28n-1%29d%5D%20%3D%20784%20000%0A%5C%5Cn%2F2%5B2%28150%29%2B%28n-1%29200%5D%20%3D%20784%20000%0A%5C%5Cn%5B300%2B200%28n-1%29%3D1%20568%20000%0A%5C%5C300n%2B200n%5E2-200n%20%3D%201%20568%20000%0A%5C%5C200n%5E2%2B100n-%201%20568%20000%20%3D%200%0A%5C%5C2n%5E2%20%2Bn-%2015680%20%3D%200%0A%0A%5C%5Cn%3D%2088.2...%2C-88.7)
n has to be positive, so we get
n =
<u>88.2 hours (3 s.f.)</u>
The direct variation equation is y = kx.
In this case, the equation is y = 1.8x.
Substitute the given points into the equation. If the x and y coordinate of a point satisfies the equation and both sides are equal, then that point is your answer.
1) 2a+18
2) 5-10w
3) -12x+18
4) 2a+1b
5) 16.65+3.7x
6) 2x+12
7) 8x-32
8) 0.9x-0.6+0.36y
R = 7 d = 14 (to find the radius d ÷ 2) h = 10
(2πr²)
2 x 3.14 x (7x7)
2 x 3.14 x 49 = 307.72
(πdh)
3.14 x 14 x 10 = 439.6
Take the two answers and add.
307.72 + 439.6
Final answer = 747.32