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Sergio [31]
2 years ago
10

Simplify: 10 - 2(3+4)*

Mathematics
1 answer:
melomori [17]2 years ago
8 0

Answer:  -4

Step-by-step explanation:

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An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made
Lemur [1.5K]

Answer:

The dimension of box=2ft\times 2ft\times 1ft

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box=lbh=x^2h

4=x^2h

h=\frac{4}{x^2}

Now, surface area of box,A=x^2+4xh

A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}

\frac{dA}{dx}=2x-\frac{16}{x^2}

\frac{dA}{dx}=0

2x-\frac{16}{x^2}=0

2x=\frac{16}{x^2}

x^3=8

x=2

\frac{d^2A}{dx^2}=2+\frac{32}{x^3}

Substitute x=2

\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h=\frac{4}{2^2}=1 ft

Hence, the dimension of box=2ft\times 2ft\times 1ft

5 0
2 years ago
Which relation is a function? A. X -14,-9-1,4,6 Y 6,2,-3,2,4 B. X -2,1,9,9,15 Y -3,-3,0,-8,12 C. X -4,6,6,7,9 Y -1,-3,-1,15,1 D.
Butoxors [25]
❅☃ To find a function you need to look at the x values, if one of the same x value is repeated more then once, it is considered a non function.
❅☃ Option A:
-14
-9
-1
4
6
As you can see no repeated values.
Therefore A is already our function but lets look at the others just in case. 
❅☃ Option B
-2
1
9
9
15
9 was repeated therefore it is a non function.
❅☃ Option C
-4
6
6
7
9
6 was again repeated. Non function.
❅☃ And lastly, D.
-16
-11
10
10
16
10 was reapted. Non function.
❅☃ Your answer is A
8 0
3 years ago
1. Simplify. (343)1/3
elena-s [515]

1) 343/32 or 10.71875 or 10 23/32
2)-8
3)7
8 0
3 years ago
What is the area of this composite shape?
grandymaker [24]

(29-22)*26+(26-21)*22

Cut the figure into 2 then find the unknown lengths to find each part. Add them together, and you'll get the answer.

4 0
3 years ago
Use trigonometry to solve for x. Round to the nearest tenth.
mel-nik [20]

Answer

12

Step-by-step explanation:

You need to use cosine because the side length needed is adjacent and you have the hypotenuse.Set up a proportion of "cos23 = x/13" and solve by cross multiplying. Then just round.

5 0
3 years ago
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