Answer:
Step-by-step explanation:
Using the formula for finding the circumference of a circle.
C = 2πr
r is the radius
radius = diameter/2
radius = 10/2
radius = 5in
C ,= 2(3.14)(5)
C = 20(3.14)
C = 31.4×2
C = 62.8in (for 1 rotation)
For 16 rotations;
C = 16×62.8
C = 1004.8in
The distance covered is 1004.8in
1SF = 1 1/2 = 1.5
centered at origin
answer is
figures MNO and PNQ
Answer:
1/2.
Step-by-step explanation:
the slope of a line perpendicular to another is the reciprocal of the original lines slope.
Answer:
19
explanation
not sure but
just count the whole blocks and
After you have counted u take 2 half blocks and
make a whole
Dy/dx = y/(x^2)
dy/y = dx/(x^2)
int[dy/y] = int[dx/(x^2)] ... apply integral to both sides
ln(|y|) = (-1/x) + C
|y| = e^{(-1/x) + C}
|y| = e^C*e^(-1/x)
|y| = C*e^(-1/x)
y = C*e^(-1/x)
So you have the correct answer. Nice job.
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Check:
y = C*e^(-1/x)
dy/dx = d/dx[C*e^(-1/x)]
dy/dx = d/dx[-1/x]*C*e^(-1/x)
dy/dx = (1/(x^2))*C*e^(-1/x)
is the expression for the left hand side (LHS)
y/(x^2) = [C*e^(-1/x)]/(x^2)
y/(x^2) = (1/(x^2))*C*e^(-1/x)
is the expression for the right hand side (RHS)
Since LHS = RHS, this confirms the solution for dy/dx = y/(x^2)
