Answer:
Yes I believe so is that algebra i think you set up the equation correctly I'm in a college statistic class our equations that we work with much more similar to algebra.
Step-by-step explanation:
4/6 = 1/6 + 1/6 + 1/6 +1/6
Answer:
The maximum height of the rocket is 256 feet
Step-by-step explanation:
The vertex form of the quadratic function f(x) = ax² + bx + c is
f(x) = a(x - h)² + k, where
- (h, k) is the vertex point
- h = and k = f(h)
- (h, k) is a minimum point if a > 0 and a maximum point if a < 0
Let us use these rules to solve the question
∵ h(t) = -16t² + 128t
→ Compare it by the form of the quadratic function above
∴ a = -16 and b = 128
∵ a < 0
∴ The vertex (h, k) is a maximum point
∴ The maximum height of the rocket is the value of k
→ Use the rule of h above to find it
∵ h = =
∴ h = 4
→ Substitute x in the equation by the value of h to find k
∵ k = h(h)
∴ k = -16(4)² + 128(4)
∴ k = -256 + 512
∴ K = 256
∴ The maximum height of the rocket is 256 feet
Answer:
Step-by-step explanation:
Given that:
mass m = 100 g = 0.1 kg
Length of the spring = 5 cm = 0.05 m
The set in motion from the equilibrium position u(0) = 0
The set in motion from its equilibrium position with a downward velocity u'(0) = 50 cm/s = 0.5 m/s
The spring constant (k) =
The equation of the system is expressed as:
By estimating the characteristics equation, we have r = ± 14
Thus; the general solution is:
By applying the initial condition:
u(0) = 0
⇒ 0 =
∴
u'(0) = 0.5
0.5 = 14 × c₂
c₂ = 0.5/14
c₂ = 1/28
∴
Equating u(t) = 0, we have t = π/14sec as the time when the mass first returns to its equilibrium position.
Answer:
Step-by-step explanation:
Let
x -----> Kevin’s savings accounts amount at the beginning of the month
Remember that
we know that
The amount in Kevin’s account at the end of the month is equal at the amount at the beginning of the month multiplied by 1.04
so