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HACTEHA [7]
4 years ago
13

The coefficient of 8 times 2n is

Mathematics
1 answer:
Anna007 [38]4 years ago
4 0
The Answer Is 16 Sorry I Can't Explain It .... I Just Remember That From A Long Time Ago.<span />
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A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the
Stells [14]

Answer:

\frac{5}{3} in

Step-by-step explanation:

Let x be the side of square.

Length of box=8-2x

Width of box=15-2x

Height of box=x

Volume of box=L\times B\times H

Substitute the values then we get

Volume of box=V(x)=(8-2x)(15-2x)x=(15x-2x^2)(8-2x)

V(x)=120x-30x^2-16x^2+4x^3

V(x)=4x^3-46x^2+120x

Differentiate w.r.t x

V'(x)=12x^2-92x+120

V'(x)=0

12x^2-92x+120=0

3x^2-23x+30=0

3x^2-18x-5x+30=0

3x(x-6)-5(x-6)=0

(x-6)(3x-5)=0

x-6=0\implies x=6

3x-5=0\implies x=\frac{5}{3}

Again differentiate w.r.t x

V''(x)=24x-92

Substitute x=6

V''(6)=24(6)-92=52>0

Substitute x=5/3

V''(5/3)=24(5/3)-92=-52

Hence, the volume is maximum at x=\frac{5}{3}

Therefore, the side of the square ,x=\frac{5}{3} in cutout that gives the box the largest possible volume.

5 0
3 years ago
Select the proper inverse operation to check the answer to 25 − 13 = 12.
vladimir2022 [97]
That would be A. Just work backwards starting with your answer.
5 0
3 years ago
Read 2 more answers
Please help its my 2nd time having to repost this question
Charra [1.4K]
What is the question??
4 0
4 years ago
Read 2 more answers
Please help me with my math question!!
lilavasa [31]

Answer:

Step-by-step explanation:

2m

______

2

______ X 0m X 0

1

= 0

4 0
3 years ago
Salid bought 35 feet of window trim at a hardware store. The trim cost $1.75 per foot, including sales tax. If salid paid with a
ch4aika [34]
To work this out, you have to figure out how much Salid paid. This equals $61.25 as you have to multiply the cost and how much he wanted. Next, you have to subtract this from $100. This equals $38.75 (answer)
I hope this helped!! :))
4 0
3 years ago
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