Answer:
a) The differential equation for the velocity is given by
(dv/dt) = k(250 - v)
b) v(t) = 250 - e⁽⁵•⁵² ⁻ ᵏᵗ⁾
With units of km/h
Step-by-step explanation:
Acceleration, a ∝ (250 - v)
But acceleration is widely given as dv/dt
(dv/dt) ∝ (250 - v)
(dv/dt) = k(250 - v)
where k = constant of proportionality
(dv/dt) = k(250 - v)
b) (dv/dt) = k(250 - v)
dv/(250 - v) = k dt
∫ dv/(250 - v) = ∫ k dt
- In (250 - v) = kt + c (where c is the constant of integration)
v(0) = 0; meaning, at t = 0, v = 0
- In 250 = 0 + C
c = - In 250 = - 5.52
- In (250 - v) = kt - 5.52
In (250 - v) = 5.52 - kt
250 - v = e⁽⁵•⁵² ⁻ ᵏᵗ⁾
v = 250 - e⁽⁵•⁵² ⁻ ᵏᵗ⁾
With units of km/h
i hope this work for you
and sory if im wrang
$44.80=($35+X)(1-0.3)
44.80 is the final total
You need to add the glove and hat cost to get a subtotal (35+x) and then multiply by what is left after the discount 30% off will leave 70% to pay, so in this equation 1-0.3 leaves 0.7 to multiply against the subtotal to get the total before tax of 44.80
Answer:
6 p.m.
Step-by-step explanation:
Vertical angles are a pair of non-adjacent angles formed when two lines intersect. you only told me to name a pair but i dont know what u mean you didn't give a diagram.
Answer:
A) −3(x3+2x−1)
Step-by-step explanation:
Factor 3-3x^3-6x to get −3(x3+2x−1)