Answer: n=6
Step-by-step explanation:
2^3 x 4^3 = 2^3 x 2^n = 2^9
(2×2×2) ×(4×4×4) = (2x2x2) ×2^n=(2x2x2x2x2x2x2x2x2)
8 x 64 = 8x 2^n = 512
512= 8x 2^n = 512
divide all through by 8 so that 2^n can stand alone
512/8 = (8x 2^n)/8 = 512/8
64 = 2^n = 64
express 64 as a base of 2
2^6 = 2^n = 2^6
since they all have same base, cancel out the base.
therefore,
6=n=6
n = 6
If you were getting 20% off of a £7.50 admission the new price would be £5.
This is due to the fact that 10% is 0.75
You can get 10% by dividing the number by 10.
10% doubled to get 20% is £1.50
7.50 minus the 20% off, 1.50, would be £5.
2t+5v=37 and 4t+3v=39
Solve the first for t
t=18.5-2.5v and use this t in the second equation...
4(18.5-2.5v)+3v=39
74-10v+3v=39
-7v=-35
v=$5.00 and since t=18.5-2.5v
t=$6.00
So tuna sandwiches cost $6.00 and vegetarian sandwiches cost $5.00.
Bigger is tripples other thing
small radius=5 so big is 5*3=15
small height=6 so big is 6*4=18
Vcylinder=hpir^2
V=18pi15^2
V=18pi225
V=4050pi
pi=3.141592
V=12723.4476 cubic inchs
0.4 per cubic insh
0.4 times 12723.4476=5089.37904 oz
The second one doesn't represent a function, because for some values of "x", you get two different values for "y" (which should not happen, if that were a function).
In every function, you must have a
single "y" value for each "x" in the domain.
__________
In order to see it better, you can trace a vertical line onto that graph.
If that line and the graph intersects in more than one point, then that graph doesn't represent a funcion.
Look into the attached picture and see. That vertical red line and the graph intersects in two distinct points. Therefore, it can't represent a function.
Any doubt? Please, comment below.
I hope it helps. :-)