Answer:
38π cubic units
Step-by-step explanation:
The volume V = ∫₀²πy²dx
Since y = 3x + 1, dy = 3dx ⇒ dx = dy/3
So, when x = 0, y = 3(0) + 1 = 0 + 1 = 1
when x = 2, y = 3(2) + 1 = 6 + 1 = 7
So, changing the variable to y and the limits of integration from y = 1 to y = 7, we have
V = ∫₀²πy²dx
V = π∫₁⁷y²dy/3
V = π[y³/3]₁⁷/3
V = π[y³]₁⁷/9
V = [7³ - 1³]π/9
V = [343 - 1]π/9
V = 342π/9
V = 38π cubic units
Answer:
I'm not that sure but I really feel like it's 15
The answer is three because within 6 there are 3 groups of 2 within 6.
Answer:
128 girls
Step-by-step explanation:
The ratio of boys to girls is 6 to 8. We need to find how many girls there are if there are 96 boys in the camp. One way to solve this is by using cross multiplication:
= 
multiply the 6 by the x: 6x
multiply 8 by 96: 768
6x = 768
divide both sides of the equation by 6 to isolate the x:
6x/6 = 768/6
x = 128
When there are 96 boys in camp, there will be 128 girls.
Answer:
5
Step-by-step explanation:
3 times 3 times 3 times 3 times 3 = 243
243 is between 200 and 300
