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3 years ago

Please help with this one

Mathematics

1 answer:

oee [108]3 years ago

7 0

Answer:1.h(2•5)=6

Step-by-step explanation:

h(2•5)[3(2•5)-1]

[7•5-1]

[6•5]

h(2•5)=6

The rest in the picture

Hopefully that help you :D

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What is 416,000,000 expressed in scientific notation ?

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4.16 10^8

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Arianna has a large piece of fabric that she wants to use to make some scarves. The number N of scarves she can make is inversel

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She can make 12 scarves if the area of each scarf is 4 square feet.

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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

8y + 4x + 6y=? Plz help

postnew [5]

Answer:

idk, sorry about that one

8 0

3 years ago

Read 2 more answers

Beg someone help please

dem82 [27]

Answer:

a=-26,b=-10,c=-1,d=-2

Step-by-step explanation:

when x=-3

y=-(-3)^2 +4(-3)-5=a

a=-9-12-5

=-14-12

=-26

when x=-1

y=-(-1)^2 +4(-1)-5=b

=-1-4-5

b=-10

when x=2

y=-(2)^2 +4(2)-5=c

=-4+8-5

=-9+8

c=-1

when x=3

y=-(3)^2 +4(3)-5=d

=-9+12-5

=-14+12

d=-2

6 0

2 years ago

Read 2 more answers