Answer:
36 oz
Step-by-step explanation:
multiply 24 by 104% because there is the original amount and 40% more
A. let the distance be d
so we have Δd/Δt=8.8min
Δd= 8.8Δt
d=∫8.8Δt-------(1)
b. d should be positive because the diver is ascending at a positive rate relative to depth
c. d=rt
t=d/r = 32.12/8.8 min
t= 3.65min
Answer:
b = 7
Step-by-step explanation:
6 b + 6 = 48
Subtract 6 from each side
6b+6-6 = 48 -6
6b = 42
Divide each side by 6
6b/6 = 42/6
b = 7
The input and output table for the linear function y = 3x is (-2, -6), (-1, -3), (0, 0), (1, 3) and (2, 6).
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Given the linear function y = 3x:
When x = -2; y = 3(-2) = -6
When x = -1; y = 3(-1) = -3
When x = 0; y = 3(0) = 0
When x = 1; y = 3(1) = 3
When x = 2; y = 3(2) = 6
The input and output table for the linear function y = 3x is (-2, -6), (-1, -3), (0, 0), (1, 3) and (2, 6).
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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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