9514 1404 393
Answer:
(a) 6² +3² +1² +1² = 47
(b) 5² +4² +2² +1² +1² = 47
(c) 3³ +4² +2² = 47
Step-by-step explanation:
It can work reasonably well to start with the largest square less than the target number, repeating that approach for the remaining differences. When more squares than necessary are asked for, then the first square chosen may need to be the square of a number 1 less than the largest possible.
The approach where a cube is required can work the same way.
(a) floor(√47) = 6; floor(√(47 -6^2)) = 3; floor(√(47 -45)) = 1; floor(√(47-46)) = 1
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(b) floor(√47 -1) = 5; floor(√(47-25)) = 4; ...
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(c) floor(∛47) = 3; floor(√(47 -27)) = 4; floor(√(47 -43)) = 2
Answer:
Population (p) = 4,000 hundred metric tons
Size of the yield (f(p)) = 8,000 hundred metric tons
Step-by-step explanation:
The population of sardines 'p', for which the derivate of the function f(p) is zero, is the population that gives the maximum sustainable yield:

The size of the maximum sustainable yield is:

Population = 4,000 hundred metric tons
Size of the yield = 8,000 hundred metric tons
Answer:
option 2 or y + x -2 = 0
Step-by-step explanation:
Given a line on a graph, it is easiest to start with point-slope form.
y = mx + b
where m is the slope (rise/run) and b is the y-axis intercept.
From the plot m = -2/2 = -1 and b = 2 SO
y = mx + b
y = -x + 2
Then the general form is
y + x -2 = 0
Answer: 3x² - 2x - 5
Step-by-step explanation:
The area of a rectangle is simply length * width. Thus, simply multiply them, and FOIL.
(3x - 5) (x + 1)
3x ^2 + 3x - 5x - 5
Combine like terms
3x² - 2x - 5
Hope it helps :) and let me know if you want me to elaborate.