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3 years ago

14

Is 8 by it's self and flip on it's side infinite lol

1 answer:

lozanna [386]3 years ago

3 0

Just because you flip and 8 does not mean it turns into an infinite sign, but it does definitely look like it :)

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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

Please help I will do brainliest

yaroslaw [1]

Answer:

yo can i have brainliest???

Step-by-step explanation:

pls it will be a bro moment

7 0

3 years ago

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I’ll mark as BRANLIEST!!<br><br> 30 POINTS!!

Aloiza [94]

$\purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \huge{ \tt{ \: 900 \: }}}}}$

8 0

3 years ago

Write the equation in exponential form log2 128=7

zubka84 [21]

The answer is <span>2^7 = 128<span>

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6 0

3 years ago

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15 points please help me

liubo4ka [24]

Answer: The answer is D. -1, 2, 5, 8

Step-by-step explanation: Arithmetic means Add or Subtract. You are adding 3 to get your next number. If that makes sense?

6 0

4 years ago

Read 2 more answers