Answer:
Step-by-step explanation:
Given that:
where;
the top vertex = (0,0,1) and the base vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0), and (1, 1, 0)
As such , the region of the bounds of the pyramid is: (0 ≤ x ≤ 1-z, 0 ≤ y ≤ 1-z, 0 ≤ z ≤ 1)
![\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \ dz \ ( \dfrac{(1-z)^3}{3} \ y + \dfrac {(1-z)y^3)}{3}] ^{1-x}_{0}](https://tex.z-dn.net/?f=%5Ciiint_W%20%28x%5E2%2By%5E2%29%20%5C%20dx%20%5C%20dy%20%5C%20dz%20%3D%20%5Cint%20%5E1_0%20%20%5C%20dz%20%5C%20%20%28%20%5Cdfrac%7B%281-z%29%5E3%7D%7B3%7D%20%5C%20y%20%2B%20%5Cdfrac%20%7B%281-z%29y%5E3%29%7D%7B3%7D%5D%20%5E%7B1-x%7D_%7B0%7D)
Answer:
1/4
Step-by-step explanation:
There are 3 even numbers of the 6 numbers on a die.
(1,2,3,4,5,6) are the possible numbers. 2,4,6 are even
P( even number ) = 3/6 = 1/2
P (heads) = 1/2
Since they are independent events, we can multiply the probabilities together
P (even, heads) = 1/2 * 1/2 = 1/4
Answer:
d < -60
Step-by-step explanation:
Let d represent the depth of the researchers' second dive.
Given;
Depth of First dive = -60 ft
It was stated that in their second dive, the researchers explore a deeper depth, That is depth deeper than 60 ft.
Since the depth of 60ft is represented by the integer -60,
Deeper depth would be represented by integers less than -60.
So, d can be represented as;
d < -60
4.5w = 5.1w - 30
4.5w - 5.1w = -30
-0.6w =-30
Divide both sides by -0.6
-0.6w/-0.6 = -30/-0.6
<span>w = 50
</span>I hope this helps.
<h3>
Answer: false</h3>
Work Shown:
s = false
p = true
r = false
-p = false, which is the opposite of statement p
s or -p = false or false = false
The result of an 'or' operation is false only when both parts are false; otherwise, it is true
(s or -p) or r = false or false = false
(s or -p) or r = false
