Answer:
x=2
Step-by-step explanation:
3 ln(x) + 2 ln (4)= ln(128)
a ln (b) = ln b^a
In(x^3) + In (4^2)= In(128)
In(x^3) + In (16)= In(128)
ln a + ln b = ln (ab)
In(16x^3) = In(128)
raise each side to the power of e
e^ In(16x^3) = e ^In(128)
e^ ln cancels out
(16x^3) = (128)
divide by 16
(16x^3)/16 = (128)/16
x^3 = 8
take the cube root on each side
(x^3)^1/3 = 8^ 1/3
x =2
The answer to the question is 585
Answer:
225/4
Step-by-step explanation:
When you are trying to find the number to be added to a binomial of the form : 
in order to make it a perfect square trinomial, all you need to do is to use the square of half of the coefficient b. That is : 
.
In your case this is: 
0.21951 Reapeating cause the decimal does not terminate
Answer:
54.8 Nm
Step-by-step explanation:
Torque is the cross product of the radius vector and force vector:
τ = r × F
Another way to write it is the product of the radius and force magnitudes times the sine of the angle between the vectors.
τ = rF sin θ
Here, r = 0.366 meters and F = 155 Newtons. F is in the +y direction, and r is 15° below the +x axis, so the angle between the vectors is 90° − 15° = 75°.
τ = (0.366 m) (155 N) (sin 75°)
τ = 54.8 Nm
