Answer:
The dimensions that minimize the amount of cardboard used is
x = 31 cm , y = 34 cm & Z = 15.54 cm
Step-by-step explanation:
Volume of the cardboard = 16,384 
The function that represents the area of the cardboard without a lid is given by
------ (1)
Volume of the cardboard with sides x, y & z is


Put this value of z in equation (1) we get


Differentiate above equation with respect to x & y we get


Take 

------ (2)
------- (3)
By solving equation (2) & (3) we get

x = 31 cm
From equation 2

y = 32768 (
)
y = 34 cm


Z = 15.54 cm
Thus the dimensions that minimize the amount of cardboard used is
x = 31 cm , y = 34 cm & Z = 15.54 cm
V=40L
.005*40=.2
40-.2 * 7 = 38.6 L after 1 week
Answer:
b: 44%
Step-by-step explanation:
From grades 9-10 there are 55 students who like country music.
While there are 125 grades 9-10 students in total.
This gives us a percentage of (55/125) *100% = 44%
Answer:
kick 1 has travelled 15 + 15 = 30 yards before hitting the ground
so kick 2 travels 25 + 25 = 50 yards before hitting the ground
first kick reached 8 yards and 2nd kick reached 20 yards
Step-by-step explanation:
1st kick travelled 15 yards to reach maximum height of 8 yards
so,
it has travelled 15 + 15 = 30 yards before hitting the ground
2nd kick is given by the equation
y (x) = -0.032x(x - 50)

we know that maximum height occurs is given as
and maximum height is

y = 20
so kick 2 travels 25 + 25 = 50 yards before hitting the ground
first kick reached 8 yards and 2nd kick reached 20 yards