Answer:
The wedge cut from the first octant ⟹ z ≥ 0 and y ≥ 0 ⟹ 12−3y^2 ≥ 0 ⟹ 0 ≤ y ≤ 2
0 ≤ y ≤ 2 and x = 2-y ⟹ 0 ≤ x ≤ 2
V = ∫∫∫ dzdydx
dz has changed from zero to 12−3y^2
dy has changed from zero to 2-x
dx has changed from zero to 2
V = ∫∫∫ dzdydx = ∫∫ (12−3y^2) dydx = ∫ 12(2-x)-(2-x)^3 dx =
24(2)-6(2)^2+(2-2)^4/4 -(2-0)^4/4 = 20
Step-by-step explanation:
he paid = 4*10 = $40
48 eggs = $40
so, waste money would be 6/48 * 100 = 12.5%
Answer:
Step-by-step explanation:
I used this equation formula and just input the numbers given:
Where
P= final population
= original population
r = rate of growth
t = time
Hope this helps!
The first one is (4) The second one is (-6) I'm not 101% sure but yeah.
Answer:
-5.25, -3.5, -1.75, 0, 1.75
Step-by-step explanation:
The recursive relation tells you this is an arithmetic sequence with a common difference of 1.75. Each term is 1.75 more than the one before.
To find the 2nd term, add 1.75 to the first term: -5.25 + 1.75 = -3.5
To find the 3rd term, add 1.75 to the second term: -3.5 + 1.75 = -1.75
To find the 4th term, add 1.75 to the third term: -1.75 + 1.75 = 0
and so on ...
