(-1 + 6)^2 <span>+ (4+5)^2 = </span>106
Answer:
x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.
Step-by-step explanation:
V= x^2y = 500
Surface area A = x^2 + 4xy.
From the first equation y = 500/x^2
So substituting for y in the equation for the surface area:
A = x^2 + 4x * 500/x^2
A = x^2 + 2000/x
Finding the derivative:
dA/dx = 2x - 2000x^-2
dA/dx = 2x - 2000/x^2
This = 0 for a minimum/maximum value of A, so
2x - 2000/x^2 = 0
2x^3 - 2000 = 0
x^3 = 2000/ 2 = 1000
x = 10
Second derivative is 2 + 4000/x^3
when x = 10 this is positive so x = 10 gives a minimum value of A.
So y = 500/x^2
= 500/100
= 5.
All you have to do it do 60 - 35 = 25 dollars because they want to know if the original price would be 60 dollars and they wanna know the anwser if you took away 35 dollars. so then you just subtract
Step-by-step explanation:
ratio means over so,
<u>1</u><u>0</u><u>0</u><u> </u>= <u>n</u>
500 5
<u>5</u><u>0</u><u>0</u>n = 500
500
n=1
Answer:
1110 liters
Step-by-step explanation:
Let x = amount of 26% juice.
Amount of tomato juice:
740 liters of 36% juice contains 0.36(740) = 266.4 liters of tomato juice
x liters of 26% juice contains 0.26x liters of tomato juice
The result will be x + 740 liters of the juice blend at a concentration of 30%. It contains 0.3(x + 740) liters of tomato juice.
266.4 + 0.26x = 0.3(x + 740)
266.4 + 0.26x = 0.3x + 222
-0.04x = -44.4
x = 1110
Answer: 1110 liters
