Answer:
1 solution
Step-by-step explanation:
x^2 - 14x + 49 = 0
Factor the expression:
x - 7
------------------------
x | x^2 | - 7x |
- ------------------------
7 | - 7x | 49 |
------------------------
(x - 7)^2 = 0
x - 7 = 0
x = 7
Answer:
larry is incorrect because the number 2 is not a composite number, although numbers 12, 22, 32, 42, 52, 62, 72, 82, and 92 are composite, 2 isn't
Answer:
a. v(t)= -6.78 + 16.33 b. 16.33 m/s
Step-by-step explanation:
The differential equation for the motion is given by mv' = mg - γv. We re-write as mv' + γv = mg ⇒ v' + γv/m = g. ⇒ v' + kv = g. where k = γ/m.Since this is a linear first order differential equation, We find the integrating factor μ(t)= =. We now multiply both sides of the equation by the integrating factor.
μv' + μkv = μg ⇒ v' + kv = g ⇒ [v]' = g. Integrating, we have
∫ [v]' = ∫g
v = + c
v(t)= + c.
From our initial conditions, v(0) = 9.55 m/s, t = 0 , g = 9.8 m/s², γ = 9 kg/s , m = 15 kg. k = y/m. Substituting these values, we have
9.55 = 9.8 × 15/9 + c = 16.33 + c
c = 9.55 -16.33 = -6.78.
So, v(t)= 16.33 - 6.78. m/s = - 6.78 + 16.33 m/s
b. Velocity of object at time t = 0.5
At t = 0.5, v = - 6.78 + 16.33 m/s = 16.328 m/s ≅ 16.33 m/s
A function is a relation that associates each element x of a set X, to a single element y of another set Y.
Circle is not a function of x. For x = 0 we have y = -7 and y = 7.