Answer:
5.6
Step-by-step explanation:
(2+3+5+7+11)/5
=5.6
-3y = -2x -6
Y= 2/3x + 2
When x= 3
Y= 2/3(3) + 2
Y= 2+2 = 4
(3,4)
When x= 6
Y=2/3(6)+2
Y= 4+2 = 6
(6,6)
When x= 12
Y= 2/3(12) + 2
Y= 8+2=10
(12,10)
The rule associated with moving decimal places, and multiplying by a value or multiple of 10, would be the following :
If you divide a value by 10 or a multiple of 10, you would move the decimal place to the left number of times as there are zeros in the multiple.
(Assuming that there are no zeros in the numerator value)
If you multiply by 10 multiple, then you would move the decimal to the right that many times as there are 0's in the value.
The solution would be that the decimal number is multiplied by 100.
Answer:
Square base dimension = 15 inches
Maximum volume = 7200 inches^3
Step-by-step explanation:
V = x^2y ..... eq 1
Let the square base be x and the height y
Oversize formular is given by
Y + 4x = 92
Y= 92 - 4x .....eq 2
Put eq 2 into eq 1
V = x^2 ( 92 - 4x^3)
V= 92x^2 - 4x^3
Using derivatives
V= 184x - 12x^2
V'= 0 = 184x - 12x^2
X(184 -12x)
X=0
X = 184/12 = 15.33 approximately 15 inches
Maximum Volume = V= 92(15)^2 -5(15)^3
V= 92(225) - 4(3475)
V= 20700 - 13500
V= 7200 inches^3
Answer:
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