3x-52=2x+2 (v.o.a)
3x-2x=2+52
x=54
F(x) = 6(9)^x
f(1/2) = 6(9)^(1/2)
f(1/2) = 6(9)^(0.5)
f(1/2) = 6*(9^0.5) 9^0.5 = √9 = +3 or -3.
f(1/2) = 6*3 = 18 or 6*-3 = -18
f(1/2) = 18 or -18
Hope this helps.
SOLUTION:
Let's establish the formula for a cylinder as displayed below:
Let volume of cylinder = V
V = ( Pi )r^2h
Now let's substitute the values from the problem into the formula to find the volume.
V = ?
r = 8
h = 4
V = ( Pi )( 8 )^2( 4 )
V = ( Pi )( 64 )( 4 )
V = ( Pi )( 256 )
V = 256( Pi )
FINAL ANSWER:
Therefore, the answer is:
C. 256( Pi ) units^3
Hope this helps! :)
Have a lovely day! <3
Answer:
-4sinθcosθ
Step-by-step explanation:
Note:
1. (a + b)^2 = a^2 + 2ab + b^2
2. (a - b)^2 = a^2 - 2ab + b^2
3. sin^2θ + cos^2θ = 1
(sinθ -cosθ)^2 - (sinθ + cosθ)^2
= sin^2θ - 2sinθcosθ + cos^2θ - (sin^2θ + 2sinθcosθ + cos^2θ)
= sin^2θ + cos^2θ - 2sinθcosθ - (sin^2θ + cos^2θ + 2sinθcosθ)
= 1 - 2sinθcosθ - (1 + 2sinθcosθ)
= 1- 2sinθcosθ -1 - 2sinθcosθ
= - 2sinθcosθ - 2sinθcosθ
= -4sinθcosθ
The Brayton cycle<span> is a thermodynamic </span>cycle<span> named after George Bailey </span>Brayton<span> that describes the workings of a constant pressure heat engine. The original </span>Brayton<span> engines used a piston compressor and piston expander, but more modern gas turbine engines and air breathing jet engines also follow the </span>Brayton cycle<span>.</span>
