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alex41 [277]
3 years ago
11

A park ranger has 32 feet of fencing to fence four sides of a rectangular recycling site. What is the greatest area of recycling

site that the ranger can fence? Explain how you know.
Mathematics
2 answers:
frutty [35]3 years ago
4 0
32 /4 =8 

so I would say that 64 would be your greatest area because 8 squared is 64
Crazy boy [7]3 years ago
3 0
Go go power rangers
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Plsssss helppp im so lost on this
Alik [6]

Answer:

2n-4>1n+3

Step-by-step explanation:

So basically 2 times a number go together because it means its multiplying and the greater sign is > and then 1 is multiplying with n so its 1n and then you just add 1

3 0
3 years ago
If 1200 cm^2 of material is available to make a box with a square base and an open top find the largest possible volume of the b
strojnjashka [21]
Surface area of box=1200 cm² 
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
 = the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>


<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>

by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>


<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000 
v=4000</span>
4 0
3 years ago
12) Find the sum, S7 for the geometric series {1 + 5 + 25 + - + 15625).
zhenek [66]

<u>Understanding:</u>

The sum of a geometric series is, a+ar+ar^2+ar^3+..., with a being the start point and r is the common ratio. We can also use the following formula to make life easier S_n=a\frac{1-r^n}{1-r}, a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.

<u>Solution:</u>

Our start point is 1, a=1,

The common ratio is 5, r=5,

And finally, the number of terms is 7, n=7.

S_n=a\frac{1-r^n}{1-r} \\=(1)\frac{1-(5)^{(7)}}{1-(5)} \\=\frac{1-78125}{1-5} \\=\frac{-78124}{-4}\\=19531

The answer is [A] 19531.

7 0
3 years ago
Read 2 more answers
Find the value of k: 7k÷3=21
Free_Kalibri [48]
The answer is 9. 7 times 9 is 63 and then 63 divided by 3 is 9.
3 0
3 years ago
Read 2 more answers
Steve, 18 years old, is three times as old as his brother Daniel. How old will Steve be when he will be twice as old as Daniel?
gtnhenbr [62]
18 ÷ 3 is 6, which means that Daniel is 6, and there is a 12 year gap between Steve and Daniel.

12 x 2 is 24, so therefore when Steve is 24, Daniel will be 12, so Steve is twice as old as Daniel:)
4 0
3 years ago
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