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dimulka [17.4K]
3 years ago
9

A rectangular dog pen is constructed using a barn wall as one side and 60 meters of fencing for the other three sides. What is t

he maximum area of the dog pen?
Mathematics
1 answer:
Sever21 [200]3 years ago
3 0

Answer:

450 m^2

Step-by-step explanation:

let the length be y m (the single side)

let the width be x m

so according to the question

2x + y = 60

or, y = 60 - 2x

now, Area = xy

= x(60-2x)

= -2x^2 + 60x

d(Area)/dx = -4x + 60

= 0 for a max of area

-4x + 60 = 0

x = 15

then y = 30

the width has to be 15 m, and the length has to be 30 m for a maximum area of 15(30) or 450 m^2.

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Derivative of g(x) = 3x^2(x^2-(2/x))
Elza [17]

When you are doing derivatives, you don't want to do it right away because there is still ( ) we need to remove that first get,

g(x)=3x^4-6x

Now we can do the derivatives!

g(x)=12*x^3 - 6

I hope this helps!

4 0
2 years ago
Avaluate 2^3x-1 for x=1
DENIUS [597]

<em><u>Answer:</u></em>

4 or 7 (Check the explanation to see which one your equation <em>actually</em> is.

<em><u>Step-by-step explanation:</u></em>

One thing I want to clarify for you, It's Evaluate, not Avaluate.

Okay so, we want to find the value of 2^3x-1 and we know x = 1.

You didn't really clarify if the expression was 2^{3x-1} or 2^{3x}-1, so I'll be doing both:

For 2^{3x-1}, we should plug in x to get 2^{3(1)-1} and then simplify to get 2^{2}.

2 to the power of 2 or 2^{2} is equal to 2 * 2 or 4.

The second one, 2^{3x}-1, we should plug in x to get 2^{3(1)}-1 and then to become 2^{3}-1. 2 to the power of 3 or 2^{3} is 8 and then minus 1 is 7.

7 0
3 years ago
Read 2 more answers
Subtract 386 from 72,000 work it out
postnew [5]

Answer:

71614

Step-by-step explanation:

7200-386= 71614

4 0
2 years ago
Read 2 more answers
Jenny used 15 centimeters of tape to wrap 5 presents. How much tape will Jenny need in all if she has to wrap 10 presents? Assum
Scorpion4ik [409]

Answer:

30

Step-by-step explanation:

15cm for 5

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15 x 2 = 30

7 0
2 years ago
(13) The temperature on a cold winter day is 2 degrees below zero. In the night, the temperature drops an additional 14 degrees.
EastWind [94]
Well, in the first one, 2 degrees below zero is -2 degrees, and then it says that it dropped 14 degrees, which means it dropped -14 degrees, so to know the total amount it dropped you would just have to add -2 plus -14 which is -16 degrees, so your answer for the first question would be the last answer, -16 degrees.

For the second question, just know that whenever a negative number is BY ITSELF in parentheses, that means it is used like a positive number in the equation. So (-12) automatically becomes 12. Now, since the problem is asking for a SUM, (the answer to an ADDITION problem; when you add instead of subtract), you would turn that minus symbol to a plus symbol, and add normally to get your final answer; 30 + 12 = 42. To check if this is correct, just type in <span>30 – (–12) to a calculator and you'll get the same answer! :D
Hope this helps! :3</span>
5 0
3 years ago
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