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seropon [69]
2 years ago
5

Miquel went to the grocery store to buy tomatoes. He picked up 6 tomatoes and took them to the counter.

Mathematics
1 answer:
MArishka [77]2 years ago
7 0

Step-by-step explanation:

Most accurate one would be how many pounds he bought. Occasionally, the number he bought could also be used

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Marine ecologists estimate the reproduction curve for swordfish in a fishing ground to be f(p) = −0.01p2 + 9p, where p and f(p)
Nimfa-mama [501]

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 f(p) = -0.01\cdot p^{2}+9\cdot p, 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

f'(p) = -0.02\cdot p +9

Let equalize the resulting expression to zero and solve afterwards:

-0.02\cdot p + 9 = 0

p = 450

Second Derivative Test

f''(p) = -0.02

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:

f(450) = -0.01\cdot (450)^{2}+9\cdot (450)

f(450) =2025

The maximum sustainable yield is 202500 swordfishes.

6 0
2 years ago
troy's truck has a 30 gallon gas tank and gets an average of 21 miles per gallon.write an equation to represent the amount of ga
GuDViN [60]

Let

x---------> represent the number of miles Troy's has driven

y--------> represent the amount of gas in Troy's truck

we know that

the equation that represents the amount of gas, y, in troy' s truck after driving a certain number of miles, x is

y-y1=m*(x-x1)

where

m is the slope---------> \frac{gallon}{miles}

in this problem the slope is equal to -\frac{1}{21} \frac{gallons}{miles}

it's negative because the tank is going to be consumed

assuming he starts with a full tank

for\ x=0\ y=30\  gal

substitute in the formula above

y-y1=m*(x-x1)\\\\ y-30=-\frac{1}{21}*(x-0)\\\\ y=-\frac{x}{21}+30

therefore

the answer is

the equation y=-\frac{x}{21}+30

8 0
2 years ago
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The distance between Cincinnati, Ohio, and charlotte, North Carolina, is about 336 miles.The distance between Cincinnati and Chi
bija089 [108]
Cincinnati Ohio à<span> Charlote North CA = a total of 336 miles
Cincinnati </span>à<span> Chicago Illinois = a total of 247 miles
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8 0
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