The factor tree for 3,025 is shown. A factor tree starts with 3,025 at the top. 3,025 branches down to 5 on the left and 605 to
the right. 605 branches down to 5 on the left and 121 on the right. 121 branches down to 11 on the left and 11 on the right. What is the simplest form of StartRoot 3,025 EndRoot? 16 55 52(112) 52+(112)
2 answers:
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Answer:
The population that gives the maximum sustainable yield is 45000 swordfishes.
The maximum sustainable yield is 202500 swordfishes.
Step-by-step explanation:
Let be , the maximum sustainable yield can be found by using first and second derivatives of the given function: (First and Second Derivative Tests)
First Derivative Test
Let equalize the resulting expression to zero and solve afterwards:
Second Derivative Test
This means that result on previous part leads to an absolute maximum.
The population that gives the maximum sustainable yield is 45000 swordfishes.
The maximum sustainable yield is:
The maximum sustainable yield is 202500 swordfishes.
Answer:
The lengths of the sides are 2.2 ft and 4.5 ft
Step-by-step explanation:
Let
a -----> the length of one side of the mosaic
b ----> the length of the other side of the mosaic
c ----> the hypotenuse of the mosaic
we know that
Applying the Pythagoras Theorem
-----> equation A
we have
-----> equation B
-----> equation C
substitute equation B and equation C in equation A and solve for b
Find the value of a
------>
therefore
The lengths of the sides are 2.2 ft and 4.5 ft