Answer:
109440
Step-by-step explanation:
1750 boxes of water bottles with 48 bottles of water each: 1750 x 48 = 84000
plus the other 530 boxes at the warehouse which alone are: 530 x 48 = 25440
adding up 84000 + 25440 = 109440
as AB || DE then
angle BAE = angle AED
so angle AED = 70
as AD = AE then
angle AED = angle ADE = 70
now in a triangle
angle DAE + Angle ADE + angle AED = 180
angle DAE + 70 + 70 = 180
angle DAE = 180 - 140 = 40
We must graph y=x^3-9x^2+11x+21. Please, see the attached file.
Then we see were the graph cuts the x-axis, and these values of x are the real solutions of the given equation:
The real solutions of the given equation are:x = -1, 3, and 7
They both equal 78 degrees because they are the same angle which means that they have the same degrees for f and e.
Work done on cart
:
W
=
6000
J
Kinetic energy of cart
:
E
K
=
6000
J
Explanation:
Work done
W
is defined as the product of force
F
and distance
s
:
⇒
W
=
F
⋅
s
Let's substitute the values of
F
and
s
into the equation:
⇒
W
=
300
N
⋅
20
m
⇒
W
=
300
kg
⋅
m s
−
2
⋅
20
m
⇒
W
=
300
⋅
20
kg
⋅
m
2
s
−
2
⇒
W
=
6000
kg
⋅
m
2
s
−
2
∴
W
=
6000
J
The gain in kinetic energy
E
K
is the same amount as the work done moving the cart:
∴
E
K
=
6000