Answer:
Step-by-step explanation:
twice a number is increased by 7.....let x represent the number
ur expression would be : 2x + 7
The constant of proportionality is 2/3x. This is because the equation states that the equation/line will travel constantly without speeding or slowing down.
Answer:
the volume is V=12π
Step-by-step explanation:
using cylindrical coordinates
x= rsin θ
z= rcos θ
y=y
therefore
y+z=4 → y= 4-z = 4-r cos θ
also from x²+z²=4 → -2≤x≤2 , -2≤z≤2
therefore since y= 4-z → 6≤y≤2 → it does not overlap with the plane y=1
V=∫∫∫dV = ∫∫∫dxdydz = ∫∫∫rdθdrdy = ∫∫rdθdr [(y=4-r cos θ,y=1) ∫ dy] =
∫∫[(4-rcosθ) - 1]rdθdr = ∫∫(3-rcosθ) rdθdr = ∫dθ [r=2,r=0] ∫(3r-r²cosθ) dr
∫ (3/2* 2²- 2³/3 cosθ) dθ =[θ=2π, θ=0] ∫ (6-8/3 cosθ) dθ = 2π*6 - 8/3 sin0 = 12π
thus
V= 12π
to verify it, the volume should not be bigger than the volume if the cross section was a square and thus the volume enclosed would be:
V = [(2-(-2)]² * (6-2) /2 + [(2-(-2)]² * (2-1) = 4³/2 + 4²*2 = 64 > 12π
In biology, the smallest unit that can live on its own and that makes up all living organisms and the tissues of the body. A cell has three main parts: the cell membrane, the nucleus, and the cytoplasm. ... Parts of a cell. A cell is surrounded by a membrane, which has receptors on the surface.
Answer:
The inverse is 5/(2-x)
Step-by-step explanation:
Firstly, let us represent the inverse as y
thus;
y = (2x+ 1)/x-4
y(x-4) = 2x + 1
xy - 4 = 2x + 1
2x - xy = -4-1
2x-xy = -5
x(2-y) = 5
x = 5/2-y
Now, switch the alphabets again
y = 5/(2-x)
