Answer:
La opción correcta es;
B.2 m 0,25 m
Step-by-step explanation:
Por lo que los parámetros dados son;
La distancia horizontal de la rampa = 4 my la altura de la rampa = 0,5 m
Por lo tanto, tenemos la pendiente de la rampa = La relación entre la altura y la distancia horizontal de la rampa dada de la siguiente manera;
La pendiente de la rampa = 0.5 / 4 = 1/8
De las opciones dadas, tenemos;
Opción A. La pendiente de la rampa = 0,20 / 1 = 1/5
Opción B. La pendiente de la rampa = 0,25 / 2 = 1/8
Opción C. La pendiente de la rampa = 1/2
Opción D. La pendiente de la rampa = 1,5 / 3 = 1/2
Por tanto, la opción que tiene la misma pendiente que la rampa A es la opción B
Answer:
3:36 PM
Step-by-step explanation:
Let fraction (y) of the people that heard the rumor , the differential equation that is satisfied by the by y is,

Solving the differential equation,
![y(t) = \frac{y_{o}}{[y_{o} + (1 + y_{o})e^{-kt}]}](https://tex.z-dn.net/?f=y%28t%29%20%3D%20%5Cfrac%7By_%7Bo%7D%7D%7B%5By_%7Bo%7D%20%2B%20%281%20%2B%20y_%7Bo%7D%29e%5E%7B-kt%7D%5D%7D)
The total number of inhabitants of the town = 2000
The number of people that heard the rumor = 160
At 8 AM, let t = 0,

= 0.08
By noon, half of the town as heard the rumor.
Then,

Therefore,
![\frac{1}{2} = \frac{0.08}{[0.08 + (1 - 0.08)e^{-4k}]}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%3D%20%5Cfrac%7B0.08%7D%7B%5B0.08%20%2B%20%281%20-%200.08%29e%5E%7B-4k%7D%5D%7D)
![\frac{0.08}{[0.08 + 0.92e^{-4k}]} = \frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B0.08%7D%7B%5B0.08%20%2B%200.92e%5E%7B-4k%7D%5D%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D)




k ≈ 0.06106
Calculating time, t when y(t) = 90%
⇒ y(t) = 0.9
![\frac{0.08}{[0.08 + 0.92e^{-0.06106t}]} =0.9](https://tex.z-dn.net/?f=%5Cfrac%7B0.08%7D%7B%5B0.08%20%2B%200.92e%5E%7B-0.06106t%7D%5D%7D%20%3D0.9)





t = 7.59 hours
⇒ 7 hours 36 minutes
From 8 A.M. plus 7 hours 36 minutes = 3:36 PM
At 3:36 PM will 90% of the population have heard the rumor
Answer:
= x(x+1)(x-1)
Step-by-step explanation:
Given the expression x³ - x
On factorizing
x³ - x
= x(x²-1)
Using difference of two square
a² - b² = (a+b) (a-b)
x² - 1
= x² - 1²
= (x+1)(x-1)
The complete factor
x³ - x
= x(x²-1)
= x(x+1)(x-1)
Answer:
Slope = 3
(1,9), (3,15)
X intercept: (-2,0)
Y intercept:(0,6)
Step-by-step explanation: