Answer:
A) 32 kg/m
B) 48 kg/m
C) 72 kg/m
Step-by-step explanation:
We are given mass is; m = 4x²
Linear density is the derivative of mass with respect to the position x. So linear density is;
ρ = dm/dx
Differentiating 4x²,we have; ρ = 8x
A)at x = 4; ρ = 8(4) = 32 kg/m
B) at x = 6; ρ = 8(6) = 48 kg/m
C) at x = 9; ρ = 8(9) = 72 kg/m
Answer:x = 6/5
Step-by-step explanation:
The given expression is
2/3+1/5x=5/6
The Lowest common multiple of 2, 5x and 6 is 30x. We would multiply the left hand side of the equation and the right hand side of the equation by 30x. It becomes
2/3 × 30x + 1/5x × 30x = 5/6 × 30x
= 20x + 6 = 25x
Subtracting 20x from the left hand side and and the right hand side of the equation, it becomes
20x - 20x + 6 = 25x - 20x
5x = 6
x = 6/5
(25000-f)(.03)+.05f=1100
750-.03f+.05f=1100
750+.02f=1100
.02f=350
f=$17500
So Mary invested $17500 @ 5% and 7500 at 3% to earn $1100 in interest.
Answer:
A' (3, 8 )
Step-by-step explanation:
Applying the translation rule to A (1, 3 )
A (1, 3 ) → A' (1 + 2, 3 + 5 ) → A' (3, 8 )
The expression should be (2/h)x(k+8).
