Answer:
Step-by-step explanation:
If a and b are rational and b is not zero, then a/b is also rational. Indeed, if a=m/n and b=p/q, where m,n,p, and q are integers, then a/b=mq/pn, i.e. it is also a ratio of two integers, and is therefore rational.
Answer: No, it isn't.
Step-by-step explanation: This graph shows a Translation, meaning the figure moved. Yes, the rotation of the second figure is 180 degrees, but it was also Translated downwards 2 points down and one to the right.
A normal distribution is symmetrical about the mean. Therefore half of all young men are shorter than 68 inches.
Answer:
84
Step-by-step explanation:
3 times 4= 12
12 times 7= 84
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
