Step-by-step explanation:
GIVEN,
f(x)=2x+1; g(x)=3x-2
NOW,
( 2x+1 + 3x-2)×3
=(5x-2)×3
=15x - 6 <em>A</em><em>N</em><em>S</em><em>W</em><em>E</em><em>R</em>
Answer:
419.25
Step-by-step explanation:
The calculation of the cost of materials for the cheapest such container is shown below:-
We assume
Width = x
Length = 2x
Height = h
where, length = 
Base area = lb
= 
Side area = 2lh + 2bh
= 2(2x)h + 2(x)h
= 4xh + 2xh
Volume = 24 which is lbh = 24

Now, cost is

now we have to minimize C(x)
So, we need to compute the C'(x)

C"(x) 
now for the critical points, we will solve the equation C'(x) = 0


So, x is a point of minima that is
= 
Now, Base material cost is

= 139.75
Side material cost is

= 279.50
and finally
Total cost is
= 139.75 + 279.50
= 419.25
7/50 = 0.14
0.14 x 100 = 14
14%
18/20 = 0.9
0.9 x 100 = 90
90%
Answer:
Step-by-step explanation:
To solve this problem you need the function
h(t) = -16t2 + v0t + h0
where t = time
v0 is the initial velocity, which in our case is 0
h0 = initial height, which in our case is 256
h(t) = 0 since we want to know when the ball will hit the ground.
0 = -16 t2 + 256
And we can solve for t
If we rearrange the terms we see that this is a difference of 2 squares
0 = 256 - 16t2
0 = (16-4t)(16+4t)
Setting each factor = 0
16-4t=0 16+4t=4
t = 4 t = -4
The second solution is discarded as time cannot be negative.
So the ball will hit the ground in 4 seconds.
Answer:
84
Step-by-step explanation: