The Van would catch up with the truck at 6:00 pm
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let us say the van catch up with the truck after t hours at a distance d.
For the truck:
45 = d/t
d = 45t
For the Van:
54 = d / (t - 2)
d = 54t - 108
45t = 54t - 108
9t = 108
t = 12 hours
The Van would catch up with the truck at 6:00 pm
Find out more on speed at: brainly.com/question/3004254
Answer: 
Step-by-step explanation:
Since, the total number of contestant = 7,
Thus, the probability that out of 3 contestant, me and my friend is chosen
= 
= 
= 
= 
⇒ Third Option is correct.
C(x)=- 0.3x^2+600x
y=ax^2+bx+c
it shows a upside down parabola equation.
to find maximum value we need to find its vertex(h,k)
as this is a standard quadratic equation we need to see parabolis equation too
y=a(x-h)^2+k
if u see this eq^n K would be the maximum value of Y if x=h.
where h,k are vertex of parabola.
h=-b/2a(derived standard formula)
C(x)=- 0.3x^2+600x
y=ax^2+bx+c
a= -0.3 b=600
h=-600/-0.3
h= 2000
put h in place of x to get K
K= -0.3(2000)^2+600(2000)
K= - 1200000+1200000
K=0
u gets k=0
means C(x)=0
600x= -0.3x^2
600= 0.3x
x=6000/3
x= 2000 units
Answer:
a=3
b=3
Step-by-step explanation:
(2xy)^4
----------------
4xy
Expand the numerator
2^4 x^4 y^4
---------------------
4xy
Simplify
16 x^4 y^4
---------------------
4xy
We know that a^b / a^c = a^(b-c)
16/4 * x^(4-1) y^(4-1)
4 x^3 y^3