To get the volume, u have to multiply length*width*height. And cubes have equal side lengths, so 15*15*15= 3,375.
Answer:
The common difference d in the given sequence is -17
Step-by-step explanation:
We need to find the common difference d of the following sequence 9 -8 -25 -42 -59
We have a₁ = 9
and a₂ = -8
The formula used is: 
By putting values we can find the value of d
We have n=2, a₂ = -8, a₁ = 9 and we need to find d
So, the common difference d in the given sequence is -17
2y^3 – 2y – 10y + 10 + y^2 – 1 < 0 [the terms are simply reorganized again]
factor 2y from the first two terms, -10 from the second two terms
2y (y^2 -1) – 10 (y-1) + y^2 – 1 < 0
2y (y+1)(y–1) – 10 (y-1) + (y+1)(y–1) < 0 [ because y^2 – 1 = (y+1)(y–1) ]
factor out (y-1) from all the terms
(y-1) [2y(y+1)-10+ y+1] < 0
(y-1) [(y+1) (2y+1) - 10] < 0
Let us simplify (y+1) (2y+1) - 10 < 0 now
(y-1) (2y^2+y+2y+1-10) < 0
(y-1) (2y^2 +3y -9 < 0
(y-1) (2y^2 +6y -3y - 9) < 0 [ because 3y = 6y -3y] j
Answer:
1
Step-by-step explanation:
For any triangle, you only need to know 3 pieces of information out of the 6 angles and sides to solve for the rest of the triangle.
