Pi divided by 2 is <span>1.57079632679 so anything bigger than 0 and less than that number should be between.</span>
19 trees should be planted to maximize the total
<h3>How many trees should be planted to maximize the total</h3>
From the question, we have the following parameters:
Number of apples, x = 18
Yield, f(x) = 80 per tree
When the number of apple trees is increased (say by x).
We have:
Trees = 18 + x
The yield decreases by four apples per tree.
So, we have
Yield = 80 - 4x
So, the profit function is
P(x) = Apples * Yield
This gives
P(x) = (18 + x) *(80 - 4x)
Expand the bracket
P(x) = 1440 - 72x + 80x - 4x^2
Differentiate the function
P'(x) = 0 - 72 + 80 - 8x
Evaluate the like terms
P'(x) = 8 - 8x
Set P'(x) to 0
8 - 8x = 0
Divide through by 8
1 - x = 0
Solve for x
x = 1
Recall that:
Trees = 18 + x
So, we have
Trees = 18 + 1
Evaluate
Trees = 19
Hence, 19 trees should be planted to maximize the total
Read more about quadratic functions at:
brainly.com/question/12120831
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1 and 1/8 of an hour because Alisha took away that amount of time from johns time.<span />
Answer:
C
Step-by-step explanation:
Since the triangles are congruent then corresponding angles are congruent
x is the angle between line with 3 strokes and 2 strokes
The corresponding angle is therefore ∠ C
∠ C = 180° - (63 + 29)° = 180° - 92° = 88°
Then x = 88 → C
Answer:
12 m
Step-by-step explanation:
This can be solved using the Pythagorean theorem
a^2 = b^2 + c^2
20^2= 16^2 + c^2
400= 256 + c^2
400-256= c^2
144 = c^2
c = √144
c= 12
