Y = 16.14z ; the constant of proportionality is 16.14. It is called constant of proportionality because it never changes. It remains constant or the same. Whatever the value of z is, y is directly proportional to z by the rate of the constant of proportionality.
Answer:
(4/5)[K + 8] +3n
Step-by-step explanation:
(4/5) x [K + 8] + [ 3 x n]
For this problem, we know d = 6 because (11 - 5) = (17 - 11) = (23 - 17) = 6
Now, we have to use the formula:
For this problem, d = 6 and a(base1) is 5, so plug it in like this:
To simplify, all you have to do is distribute the six and reduce like so:
So, here's your answer:
Hope this helps!
Answer:
13.125 or 105/8u^3
Step-by-step explanation:
To find the volume of the box, you can use the formula of length times width time height.
3 * 5 = 15
2*2=4
15/4*7/2=105/8 which can be divided to become 13.125
The dimensions of the enclosure that is most economical to construct are; x = 14.22 ft and y = 22.5 ft
<h3>How to maximize area?</h3>
Let the length of the rectangular area be x feet
Let the width of the area = y feet
Area of the rectangle = xy square feet
Or xy = 320 square feet
y = 320/x -----(1)
Cost to fence the three sides = $6 per foot
Therefore cost to fence one length and two width of the rectangular area
= 6(x + 2y)
Similarly cost to fence the fourth side = $13 per foot
So, the cost of the remaining length = 13x
Total cost to fence = 6(x + 2y) + 13x
Cost (C) = 6(x + 2y) + 13x
C = 6x + 12y + 13x
C = 19x + 12y
From equation (1),
C = 19x + 12(320/x)
C' = 19 - 3840/x²
At C' = 0, we have;
19 - 3840/x² = 0
19 = 3840/x²
19x² = 3840
x² = 3840/19
x = √(3840/19)
x = 14.22 ft
y = 320/14.22
y = 22.5 ft
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