Answer: positive
Step-by-step explanation:
To determine price per lb, divide dollar amount by lbs.
- Company A sells 2 1/2lbs (2.5lbs) for $32.50
So, Company A's price / lb = ($32.50/2.5lbs) = $13.00/lb
- Company B sells 2 3/4lbs (2.75lbs) for $35.00
And, Company B's price / lb = ($35.00/2.75lbs) = $12.73/lb
Therefore, Company B is offering the lowest price/lb at $12.73/lb.
Answer:
the present age of the father be x and the present age of the son be y.
It is given that man is 24 years older than his son that is:
x=y+24
x−y=24..........(1)
Also, 12 years ago, he was five times as old as his son that is:
(x−12)=5(y−12)
x−12=5y−60
x−5y=−60+12
x−5y=−48..........(2)
Now subtract equation 1 from equation 2 to eliminate x, because the coefficients of x are same. So, we get
(x−x)+(−5y+y)=−24−48
i.e. −4y=−72
i.e. y=18
Substituting this value of y in (1), we get
x−18=24
i.e. x=24+18=42
Hence, the present age of the father is 42 years and the present age of the son is 18 years.
Step-by-step explanation:
Answer:
L = ∫₀²ᵖⁱ √((1 − sin t)² + (1 − cos t)²) dt
Step-by-step explanation:
Arc length of a parametric curve is:
L = ∫ₐᵇ √((dx/dt)² + (dy/dt)²) dt
x = t + cos t, dx/dt = 1 − sin t
y = t − sin t, dy/dt = 1 − cos t
L = ∫₀²ᵖⁱ √((1 − sin t)² + (1 − cos t)²) dt
Or, if you wish to simplify:
L = ∫₀²ᵖⁱ √(1 − 2 sin t + sin²t + 1 − 2 cos t + cos²t) dt
L = ∫₀²ᵖⁱ √(3 − 2 sin t − 2 cos t) dt
