Here, Your Original expression is 60x - 24.
Take 12 as common, which is GCD of 24 & 60,
Therefore, It would be:
60x - 24
= 12 * 5x - 12 * 2
= 12 (5x - 2)
In short, your Answer would be 12(5x - 2)
Hope this helps!
Photon
The time taken for the golf ball to reach the ground is 1 s.
<h3>
Motion of the golf ball</h3>
The path of motion of the golf ball can be described as parabolic because it is projectile.
When the golf ball reaches the ground, the final velocity will be zero.
Velocity of the golf ball is change in height with time.
v = dh/dt
h(t) = -16t² + 32t + 128
dh/dt = -32t + 32
0 = -32t + 32
32t = 32
t = 1 s
Thus, the time taken for the golf ball to reach the ground is 1 s.
Learn more about time of motion here: brainly.com/question/2364404
The picture is not clear. let me assume
y = (x^4)ln(x^3)
product rule :
d f(x)g(x) = f(x) dg(x) + g(x) df(x)
dy/dx = (x^4)d[ln(x^3)/dx] + d[(x^4)/dx] ln(x^3)
= (x^4)d[ln(x^3)/dx] + 4(x^3) ln(x^3)
look at d[ln(x^3)/dx]
d[ln(x^3)/dx]
= d[ln(x^3)/dx][d(x^3)/d(x^3)]
= d[ln(x^3)/d(x^3)][d(x^3)/dx]
= [1/(x^3)][3x^2] = 3/x
... chain rule (in detail)
end up with
dy/dx = (x^4)[3/x] + 4(x^3) ln(x^3)
= x^3[3 + 4ln(x^3)]
Answer:
the first one
Step-by-step explanation:
We are given Elena’s bedroom door's width = 0.8 m.
Also the scale drawing is in the ratio of 1 to 50 that is 1/50.
<em>In order to find the width of scale drawing, we need to multiply original width of the door by 1/50.</em>
If we multiply 0.8 by 1/50, we get
0.8 × 1/50 = 0.8/50 = 0.016 meter.
So, we can say 0.016 meter wide should the door be on the scale drawing, if the ratio is 1 to 50.
