The minimum surface area that such a box can have is 380 square
<h3>How to determine the minimum surface area such a box can have?</h3>
Represent the base length with x and the bwith h.
So, the volume is
V = x^2h
This gives
x^2h = 500
Make h the subject
h = 500/x^2
The surface area is
S = 2(x^2 + 2xh)
Expand
S = 2x^2 + 4xh
Substitute h = 500/x^2
S = 2x^2 + 4x * 500/x^2
Evaluate
S = 2x^2 + 2000/x
Differentiate
S' = 4x - 2000/x^2
Set the equation to 0
4x - 2000/x^2 = 0
Multiply through by x^2
4x^3 - 2000 = 0
This gives
4x^3= 2000
Divide by 4
x^3 = 500
Take the cube root
x = 7.94
Substitute x = 7.94 in S = 2x^2 + 2000/x
S = 2 * 7.94^2 + 2000/7.94
Evaluate
S = 380
Hence, the minimum surface area that such a box can have is 380 square
Read more about surface area at
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Answer:
a true
b false
c. false
d. true
e. false
f. true
Step-by-step explanation:
The function is y =35+8x where x is the number of items sold and y is the earnings
To determine if the point is on the graph substitute the point in and see if it is true
a (7,91)
91 = 35+ 8(7)
91 = 35+ 56
91 = 91 true
b(11, 121)
121 = 35+ 8(11)
121 = 35+ 88
121 = 123 false
c. (9, 110)
110 = 35+ 8(9)
110 = 35+ 72
110 = 107 false
d. (4,67)
67 = 35+ 8(4)
67 = 35+ 32
67 = 67 true
e. (5,72)
72 = 35+ 8(5)
72 = 35+ 40
72 = 75 false
f. (3, 59)
59 = 35+ 8(3)
59 = 35+ 24
59 = 59 true
Answer:
45.26
Step-by-step explanation:
2 is a rational number because it does repeat. Ex.2.000000...... It also ends.
Answer:
A. (-7 -2)
Step-by-step explanation:
You can eliminate y by multiplying the first equation by 7 and subtracting 6 times the second equation:
7(-3x +6y) -6(5x +7y) = 7(9) -6(-49)
-21x +42y -30x -42y = 63 +294 . . . . eliminate parentheses
-51x = 357 . . . . . . . . collect terms
x = -7 . . . . . . . divide by -51. This matches answer choice A.
