Answer:
1.4 pounds
Step-by-step explanation:
to get this ancwer you divide 14 by 10 witch gives you 1.4 pounds
C = 2πr
141.3 = 2(3.14)r
141.3 = 6.28r
22.5 = r
Answer:
the answer is "480"
Step-by-step explanation:
so 192 divided by 2 hours is 96 so thats 96 miles per hour then I simply do 96 x 5 hours
Answer:
y: (5, -5)
Step-by-step explanation:
Answer:
The objective function in terms of one number, x is
S(x) = 4x + (12/x)
The values of x and y that minimum the sum are √3 and 4√3 respectively.
Step-by-step explanation:
Two positive numbers, x and y
x × y = 12
xy = 12
S(x,y) = 4x + y
We plan to minimize the sum subject to the constraint (xy = 12)
We can make y the subject of formula in the constraint equation
y = (12/x)
Substituting into the objective function,
S(x,y) = 4x + y
S(x) = 4x + (12/x)
We can then find the minimum.
At minimum point, (dS/dx) = 0 and (d²S/dx²) > 0
(dS/dx) = 4 - (12/x²) = 0
4 - (12/x²) = 0
(12/x²) = 4
4x² = 12
x = √3
y = 12/√3 = 4√3
To just check if this point is truly a minimum
(d²S/dx²) = (24/x³) = (8/√3) > 0 (minimum point)
