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kirill [66]
2 years ago
7

Which of the following is equal to the fraction below (4^-5)^3

Mathematics
1 answer:
Alex2 years ago
7 0
2.4 this is what I got when I put it in the calculator
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What is csc ( Reduce fractional answers to lowest terms.
harina [27]

Answer:

cscA = \frac{5}{4}

Step-by-step explanation:

Using the identity

csc x = \frac{1}{sinx} , then

sinA = \frac{opposite}{hypotenuse} = \frac{BC}{AB} = \frac{8}{10} = \frac{4}{5} , thus

cscA = \frac{1}{\frac{4}{5} } = \frac{5}{4}

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3 years ago
Is √8 a rational number ?
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2 years ago
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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.

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Answer:

8(+4)

Step-by-step explanation:

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Answer:

The bacterium expels oxygen, making room for

hydrogen peroxide and carbon dioxide. These elements are then combined with solar energy to produce fuel.

Step-by-step explanation:

.

.

Thank my answer and mark me as brainist

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