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Molodets [167]
3 years ago
11

I need help, please come answer this

Mathematics
2 answers:
Tomtit [17]3 years ago
8 0

Answer:

8 \times  \frac{15}{5}  - (5 + 9) \\8 \times 3 - (14) \\ 24 - 14 \\  = 10

I hope I helped you^_^

JulsSmile [24]3 years ago
3 0
10

Work:
PEMDAS
8 • 15/5 - (5 + 9)
8 • 3 - 14
24 - 14
10
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Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by
11111nata11111 [884]

Answer:

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is V=l\times b\times h

V=(11-2x)\times (7-2x)\times x

V=4x^3-36x^2+77x

Derivate w.r.t x,

V'(x)=4(3x^2)-2(36x)+77

V'(x)=12x^2-72x+77

The critical point when V'(x)=0

12x^2-72x+77=0

Solve by quadratic formula,

x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}

x=4.607,1.392

Derivate again w.r.t x,

V''(x)=24x-72

Now, V''(4.607)=24(4.607)-72=38.568>0 (+ve)

V''(1.392)=24(1.392)-72=-38.592 (-ve)

So, there is maximum at x=1.392.

The length of the box is l=11-2x

l=11-2(1.392)=8.216

The breadth of the box is b=7-2x

b=7-2(1.392)=4.216

The height of the box is h=1.392.

The dimension of the open rectangular box is 8.216\times 4.216\times 1.392.

The volume of the box is V=l\times b\times h

V=8.216\times 4.216\times 1.392

V=48.217\ in.^3

The volume of the box is 8.217 cubic inches.

5 0
3 years ago
Please Help Waiting 2 hours due in 10 minutes<br> Will report if file
UNO [17]

Answer:

A

Step-by-step explanation:

We have to multiply it by two because they have us 2 numbers for the legs, we use the Pythagorean theorem thing, but we have to basically add them, or we can multiply y 2(since they are the same number). Anyways 18\sqrt{2} (2)= 36\sqrt{2}

8 0
3 years ago
Which of the following is equivalent to 16^3/4
bagirrra123 [75]

Answer:

8

Step-by-step explanation:

6 0
2 years ago
Let f(x)=2^(x) and g(x)=2^(x+3)
ss7ja [257]

Answer:

Step-by-step explanation:

8 0
2 years ago
What is the product? 8(–1) A. –1.4 B. –8 C. 8 D. 11.2
enot [183]
B: -8
8 times 1 = 8, and since there is a negative in front of the 1 when you are multiplying, it should be -8/ 
7 0
3 years ago
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