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olga2289 [7]
3 years ago
13

Help me please,Thanks

Mathematics
2 answers:
never [62]3 years ago
8 0
It is the fourth one
iragen [17]3 years ago
8 0
The correct answer is 3h.
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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
Match the expression on the left with its simplified form on the right. Answer options on the right may be used more
harkovskaia [24]

The solutions of the expressions -(-1), -|-1|, -|1|, |1|, and |-1| are 1, -1, -1, 1, and 1.

We are given five expressions. An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. The first expression is -(-1). The simplified solution of the first expression is 1. The second expression is -|-1|. The simplified solution of the first expression is -1. The third expression is -|1|. The simplified solution of the first expression is -1. The fourth expression is |1|. The simplified solution of the first expression is 1. The fifth expression is |-1|. The simplified solution of the first expression is 1.

To learn more about expressions, visit :

brainly.com/question/14083225

#SPJ1

8 0
1 year ago
Please help on a timer WILL MARK BRAINLIEST
viva [34]

Answer:

3

Step-by-step explanation:

s + 8 > 10

    -8    -8

      s > 2

    (3) > 2

    8+3=11

   11 > 10

6 0
3 years ago
Read 2 more answers
What is the slope of this graph?
scoray [572]

Answer:

2/3

Step-by-step explanation:

Hope this helps you

3 0
3 years ago
A license plate in California consists of 3 letters followed by 4 digits. How many different license plates are possible if the
Natali [406]
The answer would be 156,000,000

26 x 25 x 24= 15,600
15,600 x 10,000=156,000,000

So yea there is 156,000,000 different license plates
8 0
3 years ago
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