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2 years ago

Help please!! don’t know what to do?!

Mathematics

2 answers:

arlik [135]2 years ago

7 0

Answer:

Step-by-step explanation:

Iteru [2.4K]2 years ago

5 0

Answer: .9:1.20

Step-by-step explanation:

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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

Consider the equation: 3(–4n – 9) = 21

hram777 [196]

Answer: N=-4

Step-by-step explanation:

STEP

Pulling out like terms

2.1 Pull out like factors :

-4n - 9 = -1 • (4n + 9)

Equation at the end of step

-3 • (4n + 9) - 21 = 0

STEP

Pulling out like terms

4.1 Pull out like factors :

-12n - 48 = -12 • (n + 4)

Equation at the end of step

-12 • (n + 4) = 0

STEP

Equations which are never true:

5.1 Solve : -12 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.2 Solve : n+4 = 0

Subtract 4 from both sides of the equation :

n = -4

One solution was found :

n = -4

7 0

2 years ago

Read 2 more answers

Ricardo bought 3 pounds of red grapes, 4 pounds of green grapes, and 1 pound of black grapes. What is the ratio of green grapes

ivann1987 [24]

Answer:

4:3

Step-by-step explanation:

6 0

3 years ago

Can someone answer this question please I need it right now

Lady bird [3.3K]

Answer: Choice B) -5.2 degrees

=====================

Work Shown:

Add up the given temperatures

-42 + (-17) + 14 + (-4) + 23 = -26

Then divide by 5 since there are 5 values we're given

-26/5 = -5.2

6 0

3 years ago

Is 4(x+2y) and 8y+4x Equivalent

Illusion [34]

Yes.

When you use distributive property in first expression you’ll get 4x +8y. The second expression just rearranged those two terms.

8 0

2 years ago