43 is a 2-digit odd number but it isn't composite. It's a prime number.
Hope this helps. :)
Answer:
The number of ways are 16! or 20,922,789,888,000.
Step-by-step explanation:
Consider the provided information.
We need to determine the number of different ways 16 numbered pool balls be placed in a line on the pool table.
For the first place we have 16 balls.
For the second place we have 15 balls left.
Similarly for the third place we have 14 balls as two balls are already arranged and so on.
Or we can say that this is the permutation of 16 things taking 16 at a time.
Thus the number of ways are: 
or 
Hence, the number of ways are 16! or 20,922,789,888,000.
Direction vector of line of intersection of two planes is the cross product of the normal vectors of the planes, namely
p1: x+y+z=2
p2: x+7y+7z=2
and the corresponding normal vectors are: (equiv. to coeff. of the plane)
n1:<1,1,1>
n2:<1,7,7>
The cross product n1 x n2
vl=
i j l
1 1 1
1 7 7
=<7-7, 1-7, 7-1>
=<0,-6,6>
Simplify by reducing length by a factor of 6
vl=<0,-1,1>
By observing the equations of the two planes, we see that (2,0,0) is a point on the intersection, because this points satisfies both plane equations.
Thus the parametric equation of the line is
L: (2,0,0)+t(0,-1,1)
or
L: x=2, y=-t, z=t
Answer:
11
Step-by-step explanation:
Plug in
0 for j to get 1
1 for j to get -2
2 for j to get 4
3 for j to get -8
4 for j to get 16
Then add 1 - 2 + 4 - 8 + 16 = 11
-3(2x-3)<3
(-3(2x-3))(-1)<3(-1)
3(2x-3)>-3
(3(2x-3))/3>-3/3
2x-3>-1
2x-3+3>-1+3
2x>2
2x/2>2/2
x>1
