Let
x------> the length side of the square base of the box
y-------> the height of the box
we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²--------> equation 1
<span>The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.</span>
surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x
step 1
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm
the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm
Answer:
B
Step-by-step explanation:
distribute
5x+15-9x+4
combine like terms
-4x+19
Sanjay, because quarts are twice as big as pints.
Step-by-step explanation:
Given
Milk quantity for Lisa = 3 quarts
Milk quantity for Sanjay = 12 pints
We have to convert both quantities in same unit so that we can compare both quantities.
We know that there are two pints in a quart.
So,
Lisa will have:
3*2 = 6 pints of milk
Hence,
Sanjay, because quarts are twice as big as pints.
Keywords: Units, measurement
Learn more about units at:
#learnwithBrainly
Answer:
7
Step-by-step explanation:
It is the same number, all you have to do is write out the factors but if its ever the same number just know itll always be that number
Answer:
The null hypothesis is: 
The alternative hypothesis is: 
Step-by-step explanation:
At the null hypothesis, we test if the mean is equal to a certain value.
At the alternate hypothesis, we test if the mean is less than, more than, or different from the value tested at the null hypothesis.
The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb.
This means that the null hypothesis is:
Could it be that the average tuft strength is above 100 lb?
The world above means that the appropriate alternative hypothesis is:
