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2 years ago

Simplify (ei^4) (ei)^3

Mathematics

1 answer:

MAVERICK [17]2 years ago

6 0

Answer:

Step-by-step explanation:

Ei é=45 ' +2

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Sarah uses 9.1 pints of blue paint and white paint to paint her bedroom walls. 4 5 of this amount is blue paint, and the rest is

bonufazy [111]

Answer:Amount of white paint used by Sarah =1.82 pints

Step-by-step explanation:

Amount of blue paint and white paint to paint her bedroom walls.=9.1 pints

Amount of blue paint used =4/5 x 9.1=7.28 pints

Amount of white paint used=Amount of blue paint and white paint to paint her bedroom walls -Amount of blue paint used

=9.1-7.28=1.82 pints

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3 years ago

Cost price of a chair and table is rupee 490. If the cost of the chair is rupee 50 less than the cost of the table, find the cos

densk [106]

Answer:

Step-by-step explanation: sorry I don't give answers to you but I not love you why you are a baby

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3 years ago

Need help geometry question central angles and arcs !!! plss

RoseWind [281]

Answer:

86°

Step-by-step explanation:

124 + 40 + 110 = 274

360 - 274 = 86°

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3 years ago

1. 5 • 2/3 as an improper fraction in simplified form.

n200080 [17]

Answer:

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3 years ago

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