This question has this set of answer choices:
a) when the plane cuts three faces of the cube, separating one corner from the others
b) when the plane passes through a pair of vertices that do not share a common face
c) when the plane is perpendicular to the base and intersects two adjacent vertical faces
d) when the plane makes an acute angle to the base and intersects three vertical faces
e) not enough information to answer the question
The right answer is the first choice: a) when the plane cuts three faces of the cube, separating one corner from the others
You can see a picture of this case in the figure attached: as you can see the cross section (in pink) is a triangle.
Answer: 48
Step-by-step explanation:
Here's the complete question:
The mean number of people per household in eight households is six people. what is the total number of people in the eight households?
First and foremost,we should note that mean means the average of a given set of numbers.
Since the mean number of people per household in eight households is six people, the total number of people in the eight households would be calculated by multiplying 6 by 8. This would be:
= 6 × 8
= 48 people
Answer:
(x^4-8)^45 /180 +c
Step-by-step explanation:
If u=x^4-8, then du=(4x^3-0)dx or du=4x^3 dx by power and constant rule.
If du=4x^3 dx, then du/4=x^3 dx. I just divided both sides by 4.
Now we are ready to make substitutions into our integral.
Int(x^3 (x^4-8)^44 dx)
Int(((x^4-8)^44 x^3 dx)
Int(u^44 du/4)
1/4 Int(u^44 dul
1/4 × (u^45 / 45 )+c
Put back in terms of x:
1/4 × (x^4-8)^45/45 +c
We could multiply those fractions
(x^4-8)^45 /180 +c
This one is probably f(x)=2(4)
Answer:
A. Subtraction
B. Subtraction
C. x+4=11
-4 -4
D. x=7
Step-by-step explanation: