Answer:
Yee yee delete this i just wanted points
Step-by-step explanation:
Answer:
aₙ=(-2)ⁿ*2.
Step-by-step explanation:
1) -4*(-2)=8; 8*(-2)=-16; -16*(-2)=32, ...
2) the required equation is:
aₙ=(-1)ⁿ*2ⁿ*2; ⇒ aₙ=(-2)ⁿ*2 or aₙ=(-1)ⁿ*2ⁿ⁺¹.
Answer:
1/5 start with A
Step-by-step explanation: 5*5=25 possible combos 5 of which will be starting with A. 5/25 can be simplified to 1/5
Answer:
So, it would take around 42 hours for the pipe to leak one gallon.
Step-by-step explanation:
I'm not sure if that's the answer you wanted but... yeah.
I found out how many fl oz are in a gallon then divided that by 3. There are 128 fl oz in a gallon, divided by 3 ( the amount leaked per hour) I got 42.6666.....
The required plane Π contains the line
L: (-1,1,2)+t(7,6,2)
means that Π is perpendicular to the direction vector of the line L, namely
vl=<7,6,2>
It is also required that Π be perpendicular to the plane
Π 1 : 5y-7z+8=0
means that Π is also perpendicular to the normal vector of the given plane, vp=<0,5,-7>.
Thus the normal vector of the required plane, Π can be obtained by the cross product of vl and vp, or vl x vp:
i j k
7 6 2
0 5 -7
=<-42-10, 0+49, 35-0>
=<-52, 49, 35>
which is the normal vector of Π
Since Π has to contain the line, it must pass through the point (-1,1,2), so the equation of the plane is
Π : -52(x-(-1))+49(y-1)+35(z-2)=0
=>
Π : -52x+49y+35z = 171
Check that normal vector of plane is orthogonal to line direction vector
<-52,49,35>.<7,6,2>
=-364+294+70
=0 ok
