Answer:
the question is not clear enough
Step-by-step explanation:
Answer:
A) 5 notebooks, 10 pencils
Step-by-step explanation:
n = notebook
p = pencil
1.97n + 1.16p = 21.45
A)✅
1.97(5) + 1.16(10) = 21.45
9.85 + 11.6 = 21.45
21.45 = 21.45
B) ❌
1.97(3) + 1.16(12) = 21.45
5.91 + 13.92 = 21.45
19.83 = 21.45
Ok, so your answer would be 89.75
Answer:
2x^3-2x^2+x
Step-by-step explanation:
Just trust me!
Answer:
V = 91π / 6
Step-by-step explanation:
When we revolve the region about y = 2, we get a cylindrical shape on its side. If we slice the shape into concentric shells, then each shell will have a radius of 2 − y, a thickness of dy, and a length of 7 − x. The volume of the shell is:
dV = 2π r h t
dV = 2π (2 − y) (7 − x) dy
x = 7y², so:
dV = 2π (2 − y) (7 − 7y²) dy
dV = 14π (2 − y) (1 − y²) dy
dV = 14π (2 − 2y² − y + y³) dy
The total volume is the sum of all the shells from y=0 to y=1.
V = ∫ dV
V = ∫₀¹ 14π (2 − 2y² − y + y³) dy
V = 14π (2y − ⅔ y³ − ½ y² + ¼ y⁴) |₀¹
V = 14π (2 − ⅔ − ½ + ¼)
V = 91π / 6