Answer:
300 calories
Step-by-step explanation:
he burns 12 calories each lap so you need to know how many laps he ran
which means you need to find the circumference of the track, whose formula is 2πr; remember, radius is half the diameter.
C = 2π75
C = 150π
C ≈ 471
Now divide the total number of feet he ran (11,775) by the circumference to arrive at the number of laps.
11775 ÷ 471 = 25 laps
25 x 12 = 300 calories burned in total
You'll need to use differentiation (specifically, implicit differentiation) here.
If x^2 = 4(y+6), differentiating both sides with respect to time t produces the following:
2x (dx/dt) = 4([dy/dt]) (note that (d/dt) 6 = 0)
We need to solve for (dx/dt). Substitute 8 for x (y does not appear in this latest equation, so we do nothing with y=10). Substitute the given 5 units/sec for dy/dt:
2(8)(dx/dt) = 4(5)(units/sec)
Solving for dx/dt, dx/dt = [20 units/sec]/16, or 5/4 units/sec, or 1.25 units/sec.
Answer:
y= 4/3x
Step-by-step explanation:
Step-by-step explanation:
given f(x) = 2/x and g(x) = 2/x
f(g(x)) = 2/(g(x)) = 2/2/x = x/2 × 2 = x
g(f(x)) = 2/(f(x)) = 2/2/x = x/2 × 2 = x
therefore they are inverses
since f(g(x)) = g(f(x)) = x.
