Answer:
Δx= 184.12 ft
Step-by-step explanation:
The equation you need to use is velocity as a function of displacement.
v = the speed at which the car is travelling,
and
v_o is the original speed (in this case zero).
The change in x (displacement) is how far the car travels. You will be solving for a (acceleration).
solving we get
a= 12.19
now put this acceleration value into the second case when v= 67mi/h
⇒Δx= 184.12 ft
Answer:
Check pdf
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
Total degree of triangle interior angles is 180
So x+2x+3x=180
6x=180
x=30
Measurement of angle C is 2x which is 60 degree
She would need 11 weeks in order to reach her goal.
Answer:
4x³
Step-by-step explanation:
d/dx ln(x⁴ + 7) = 1/(x⁴ + 7) × _?
To obtain the missing expression, let us simplify d/dx ln(x⁴ + 7). This can be obtained as follow:
Let y = ln (x⁴ + 7)
Let u = (x⁴ + 7)
Therefore,
ln(x⁴ + 7) = ln u
Thus,
y = ln u
dy/du = 1/u
Next, we shall determine du/dx. This is illustrated below:
u = (x⁴ + 7)
du/dx = 4x³
Finally, we shall determine dy/dx of ln (x⁴ + 7) as follow:
dy/dx = dy/du × du/dx
dy/du = 1/u
du/dx = 4x³
dy/dx = 1/u × 4x³
But:
u = (x⁴ + 7)
Therefore,
dy/dx = 1/(x⁴ + 7) × 4x³
Thus, the missing expression is 4x³
