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hammer [34]
3 years ago
12

PLEASE HELP!

Mathematics
1 answer:
suter [353]3 years ago
5 0
Well first if he buys 24 a month that equation is 24n n = months and if he already has 523 the explicit rule is an = 24 | 24 | 24 |
                                                              --------------------
                                                                  523
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A rancher plans to make 4 identical and adjacent rectangular pens against a barn (see figure below), each with an area of 100 m^
Tasya [4]

Answer:

10 by 10 meters

Step-by-step explanation:

In calculus terms, you can use the formula for the perimeter which is 2l + 2w, and the area l × w.

Then since the area is 100

l × w = 100. So w = 100/l

Then substitute this into the perimeter formula.

w = 100/l → 2l + 2(w) = 2l + 2(100/l) = 2l + 200/l.

Then take the derivative d/dx [take the derivative of a quantity with respect to x], by using a simpler method known as the power rule:

d/dx[x^n] = nx^n-1

so p = 2l + 200/l becomes p' = 2 - 200/l^2

Since the derivative of a constant is 0, to solve for l, set p' to 0

0 = 2 - 200/l^2 → -200/l^2 = -2 → 200/l^2 = 2 → 2l^2 = 200 → l^2 = 100 → l = √100, l = 10.

Now that we know the length is 10, We can substitute the length in the original equation to find the width.

l = 10 → w = 100/l → w = 100/10, w = 10.

Therefore the perimeter of each rectangular pen is 40, with a length of 10 and width of 10.

If you want to do this algebraicly, there are more steps involved

7 0
2 years ago
Simplify this expression 3-(7a+1)
Vinil7 [7]
3 - (7a + 1) =
3 - 7a - 1 =
-7a + 2 <===
5 0
3 years ago
The value of x =<br> 60°<br> 5<br> x<br> 30°
nikklg [1K]

Answer:

10

Step-by-step explanation:

with reference angle 30°

perpendicular (p) = 5

hypotenuse (h) = x

Now

sin 30° = p / h

1 / 2 = 5 / x

x = 10

Hope it will help :)

6 0
3 years ago
Convert 9 cubic meters into cubic feet. Round your answer to the nearest whole number.
Aleksandr-060686 [28]
317.832

318

The exact answer is being written as a decimal. The rounded is answer will be 318. I hope this answers your question.
5 0
3 years ago
Read 2 more answers
X/x^2-16-7/x^2+5x+4  simplify
Lana71 [14]
<u>5x³ - 12x² + -7</u>
         x²
Simplified answer.
4 0
2 years ago
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