Answer:
Step-by-step explanation:
Let
Side of square base=x
Height of rectangular box=y
Area of square base=Area of top=
Area of one side face=
Cost of bottom=$9 per square ft
Cost of top=$5 square ft
Cost of sides=$4 per square ft
Total cost=$204
Volume of rectangular box=
Total cost=
Substitute the values of y
Differentiate w.r.t x
It takes positive because side length cannot be negative.
Again differentiate w.r. t x
Substitute the value
Hence, the volume of box is maximum at x=2.2 ft
Substitute the value of x
Greatest volume of box=
Answer:
5/12
Step-by-step explanation:
In a polynomial, each constant (regular number) has a degree of 0. For example, 8 is really 8x to the power of 0.
Answer:
x=0 or x=4 or x= -5/2
Step-by-step explanation:
x²(x−4)(2x+5)=0
x²=0 or x-4=0 or 2x+5=0
x=0 or x=4 or x= -5/2
Answer: (75, 135)
Step-by-step explanation:
Because the empirical rule is 3 standard deviations of the mean you would add and subtract to get your desired interval.
In this case our mean is 105 and our deviation is 10.
What you would do is add 10 to 105, 3 times to find your greatest number and the you would subtract 10 from 105, 3 times to get your lowest number.
105 + 10 + 10 + 10 = 135
105 - 10 - 10 - 10 = 75
Answer: (75, 135)
