The balloon assumes the shape of a sphere with a formula of the volume equal to V = 4/3 pi r^3 where r is the radius of the balloon. In this case, we are given with volume of 288 pi in^3. We just substitute the given volume such that the resulting radius that answers the problem is 6 inches.
2 way table
cola water milk total
boy 12 4 16 32
girl 14 9 5 28
Total 28 13 21 60
Answer:
y = (x+3)^2 -1
Step-by-step explanation:
The equation for an upward opening parabola is
y = a(x-h)^2 +k
Where (h,k) is the vertex
The vertex is (-3,-1)
y = a(x--3)^2 +-1
y = a(x+3)^2 -1
Put a point in to find a
(0,8)
8 = a(0+3)^2 -1
8 = a (3)^2 -1
Add 1 to each side
8+1 = a9
9=9a
Divide by 9
1 =a
y = (x+3)^2 -1
Answer:
A. (8/30)(22/29)(21/28)
Step-by-step explanation:
The key is in reading the question really thoroughly, like, way more than you would expect. The <em>first</em> person is from the group of 8, thus (8/30), but the other <em>two</em> <u>cannot</u> be from the group of 8. 30(students total) minus 8 (the 8 people from science class)=22 (remaining in math). You choose one person who is <em>not</em> from the group of 8, and you are left with 21 other people. The number of students available to be in a group goes down each time: 30 down to 29 down to 28 (the denominators). Kaboom, A. (8/30)(22/29)(21/28).
(-27^ -4/3 = 1 / (-27)^4/3 = 1 / (-27^1/3)^4 = 1 / (-3)^4 = 1/ 81
