10^2 = 10 × 10
10^3 = 10 × 10 × 10 = 1000
10^4 = 10 × 10 × 10 × 10
Answer:
a) A = 36π in² ≈ 113.09 in²
b) $0.98 per slice
c) $0.09 per square inch
Step-by-step explanation:
a) area = πr²
r= diameter/2 = 12/2 = 6
A = π(6)²
A = 36π in² ≈ 113.09 in²
b) s = price per slice
s = 9.75 ÷ 10
s = $0.975 ≈ $0.98
c) price per square inch = price ÷ area
= 9.75 ÷ 113.09
= $0.086 ≈ $0.09 per square inch
Answer:
The value of 2 in 2000 is 10 times greater than the value of 2 in 200
Step-by-step explanation:
from the value of 2 in 200 to reach 2000, it takes 10 times as much because we're moving only one place (which is the thousand's digit).
Answer:
dy/dx = -5y - y/x
Step-by-step explanation:
In xy + 5x = 30
Differentiating xy implicitly
y + xdy/dx
Assuming u = xy
In xy = In u
Differentiating In u = 1/u = 1/xy
Differentiating 5x = 5 and differentiating a constant (30) = 0
1/xy(y + xdy/dx) + 5 = 0
(y + xdy/dx)/xy = -5
(y + xdy/dx) = -5xy
xdy/dx = -5xy - y
dy/dx = = (-5xy - y)/x
dy/dx = -5y - y/x
