Answer: T (The first option).
Step-by-step explanation:
1. By definition, coplanar points are three or more points that are in the same plane.
2. Based on this information, as you can see in the figure attached, the points A, C, D, E, S and U are coplanars because they are in the same plane, which is: ACDE.
3. Therefore, you can conclude that the point T is not coplanar with points A, C and D because this is not in the plane ACDE.
Answer:
(x-8) is the factor.
Step-by-step explanation:
The given trinomial is 
.
We need to find the factor of this trinomial.
The factors of is (x-2) and (x-8).
So, the factor of is (x-8). Hence, the correct option is (B).
Answer:
a) 1+2+3+4+...+396+397+398+399=79800
b) 1+2+3+4+...+546+547+548+549=150975
c) 2+4+6+8+...+72+74+76+78=1560
Step-by-step explanation:
We know that a summation formula for the first n natural numbers:
1+2+3+...+(n-2)+(n-1)+n=\frac{n(n+1)}{2}
We use the formula, we get
a) 1+2+3+4+...+396+397+398+399=\frac{399·(399+1)}{2}=\frac{399· 400}{2}=399· 200=79800
b) 1+2+3+4+...+546+547+548+549=\frac{549·(549+1)}{2}=\frac{549· 550}{2}=549· 275=150975
c)2+4+6+8+...+72+74+76+78=S / ( :2)
1+2+3+4+...+36+37+38+39=S/2
\frac{39·(39+1)}{2}=S/2
\frac{39·40}{2}=S/2
39·40=S
1560=S
Therefore, we get
2+4+6+8+...+72+74+76+78=1560
Answer:
In the image
Hope this helps!
Step-by-step explanation:
F (x,y) = 2.30x + 3.10y
The constraints are described with the following inequalities:
2x + 2y < = 120
3x + 4y < = 160
The corner points are: ( 0, 40) and (40/0.75, 0)
F (0,40) = 3.10 * 40 =$124
F (40/0.75,0) = (40/0.75) * 2.30 = $122.67
To maximize the profit they should sell 40 Turkey Specials.
So your answer should be C.
