Each big square below represents one whole,
What percent is represented by the shaded area?
%

Answer:

The maximum possible volume = 332.685 cubic inches

Step-by-step explanation:

From the information given:

Let the height be = x

The length be = 24 - 2x

The width be = 12 - 2x

Then V = x (24 -2x) ( 12 - 2x)

V = x ( 288 -48x - 24x +4x²)

V = x(288 - 72x + 4x²)

V = 288x - 72x² + 4x³

[tex]\dfrac{dV}{dx}= (3x^2 - 36x+ 72)[/tex]

[tex]\implies x^2 - 12x + 24 = 0[/tex]

[tex]=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]=\dfrac{-(-12) \pm \sqrt{(-12)^2 - 4(1)(24)}}{2(1)}[/tex]

[tex]=\dfrac{12 \pm \sqrt{144 - 96}}{2}[/tex]

[tex]=\dfrac{12 \pm \sqrt{48}}{2}[/tex]

where;

[tex]x \ne \dfrac{12 + \sqrt{48}}{2}[/tex]

∴ [tex]x= \dfrac{12 - \sqrt{48}}{2}[/tex]

x = 2.536 ( since the length cannot be negative)

So, the length x = 24 - 2(2.535) = 18.93

The width = 12 - 2(2.535) = 6.93

heigth = 2.536

∴

V = 18.93 ×  6.93 ×  2.536

V = 332.685 cubic inches

    A box is made from a plastic sheet by removing square from each corner, maximum volume of this box will be 332.55 cubic inches.

           Volume = Length × Width × Height

Given in the question,

Let the measure of each side of a square removed = x inches

Therefore, length of the box = (12 - 2x) inches

Width of the box = (24 - 2x) inches

Height of the box = x inches

Volume of the box (V) = (12 - 2x) × (24 - 2x) × (x)

                                V  =  4x³ - 72x² + 288x

To find the maximum volume of the box differentiate the expression with respect to 'x' and equate it to zero.

V' = 12x² - 144x + 288

For V' = 0,

12x² - 144x + 288 = 0

x² - 12x + 24 = 0

[tex]x=\frac{12\pm\sqrt{(12)^2-4(1)(24)} }{2(1)}[/tex]

[tex]x=(6\pm2\sqrt{3})[/tex]

[tex]x=9.46,2.54[/tex]

For x = 9.46,

Volume of the box = 4(9.46)³- 72(9.46)² + 288

                               = -2769.03 cubic inches

For x = 2.54,

Volume of the box = 4(2.54)³- 72(2.54)² + 288

                               =  332.55 cubic inches

       Therefore, maximum volume of the box will be 332.55 cubic inches.

Learn more about the volume of a cuboid here,

https://brainly.com/question/25395659?referrer=searchResults

Answer:

Step-by-step explanation:

14

Answer:

20

Step-by-step explanation:

4 × 5 × 1 = 20 (cm³)

Hope it help, please give me Brainlest!

Answer:

20

Step-by-step explanation:

The formula for volume:

[tex]V=length*width*height\\\\V=lwh[/tex]

Multiply all given values together:

[tex]V=4*5*1\\\\V=20*1\\\\V=20[/tex]

The volume of the box is 20cm³.

:Done

Note:

"Cubic" centimeters means cm³. The exponent is used because you multiplied 3 dimensions.

Another example would be with area. To find this, you multiply length by width, resulting in area², because you mutliplied 2 dimensions.

Answer:

131,040

Step-by-step explaination:

There is around 29-31 days in a month, so if you just round it's around 30 days a month.

30×6= 180 (days)

180×728= 131,040 ounces

jasons dog would drink 131,040 in 6 months.

Answer:

Graph B is correct

(3,-1)

Step-by-step explanation:

Convert to slope-intercept form and find them on graph.

Answer:

Graph B and (3,-1)

Step-by-step explanation:

Step: Solve x−2y=5 for x:

x−2y=5

x−2y+2y=5+2y (Add 2y to both sides)

x=2y+5

Step: Substitute 2y+5 for x in 3x+15y=−6:

3x+15y=−6

3(2y+5)+15y=−6

21y+15=−6 (Simplify both sides of the equation)

21y+15+−15=−6+−15 (Add -15 to both sides)

21y=−21

(Divide both sides by 21)

y=−1

Step: Substitute−1for y in x=2y+5:

x=2y+5

x=(2)(−1)+5

x=3(Simplify both sides of the equation)

Answer:

x=3 and y=−1 or (3,-1)

Answer:

4,0 2,3 ans solutions this may help

Answer:

f⁻¹(y) = y^(-7/17)

Step-by-step explanation:

f(x) = x^(-17/7)

To find the inverse, switch x and y, and solve for y.

x = y^(-17/7)

x^(-7/17) = y

Therefore, f⁻¹(y) = y^(-7/17).

Answer: y= -2/7x-2

Step-by-step explanation:

To be parrell they have to have the same slope but different y intercepts.

so just put -2 so it will cross that point

Answer:

1. x >/= -1

2. x < 4

3. x </= -1

4. x >/= -2

5. x < -3

6. x </= 7

Step-by-step explanation:

Answer:

1. None of the angles

2. Is not

3. Is not

Step-by-step explanation:

We can see if the triangles are congruent by ASA (angle, side, angle)

We find ∠F in DEF by 180-(64+78)=38 and 38 doesn't equal 39 so they are not congruent.

Answer:

y = -1/4x + 2

Step-by-step explanation:

slope = rise over run

-1 rise for 4 run

y intercept = 2

y = -1/4x + 2

Answer:

ASA

Step-by-step explanation:

Angle B side BC and angle C

Triangle ABC and CDE are congruent by ASA congruence. Therefore, option E is the correct answer.

In the given figure, ΔABC and ΔCDE.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Here,

Consider ΔABC and ΔCDE, we get

∠B = ∠E (Given)

BC=CE (Given)

∠BCA = ∠ECD (Vertically opposite angles)

By ASA congruence, ΔABC≅ΔCDE

Triangle ABC and CDE are congruent by ASA congruence. Therefore, option E is the correct answer.

To learn more about the congruent theorem visit:

https://brainly.com/question/24033497.

#SPJ5

Answer:

The value of x would be 15

Explanation:

10/x = 2/3

Cross multiply:

10 · 3 = x · 2

30 = 2x

30 ÷ 2 = x

15 = x

Answer:

75%

Step-by-step explanation:

20-5=15 - change in numbers

15/20×100%= 75%

9514 1404 393

Answer:

Step-by-step explanation:

Since we want to know the actual number of feet, we can write the proportion with that in the numerator.

  [tex]\dfrac{\text{actual feet}}{\text{scale inches}}=\boxed{\dfrac{c}{3}=\dfrac{169}{12}}\\\\c=\dfrac{3\cdot169}{12}=42\frac{1}{4}\qquad\text{multiply by 3}[/tex]

The real caboose is 42 1/4 feet long.

Answer:28604 in total

Step-by-step explanation:

just copy and paste hope this helps

Answer:

28604 miles

Step-by-step explanation:

Just add the two numbers to get the total number of miles:

  14735

+ 13869=

  28604

Answer:

I am thinking that it is A and C

Step-by-step explanation:

If I am right may I get a brailiest

If I am wrong I am so very sorry

Answer: 0.36

Step-by-step explanation:

6/10 x 6.10= 36/100

Answer:

-7 degrees celsius

Step-by-step explanation:

12-19=-7

Answer:

-7

Step-by-step explanation:

12 - 19 = -7

Answer:

y=3x+4

Step-by-step explanation:

4 is your y-intercept, and 3 is your slope.

The linear function shows the total cost will be y = 3x + 4.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

A taxi ride costs $4 plus an additional $3 per mile.

Let's say the number of miles is represented as x while the total cost is represented as y.

y = 3x + 4

Hence "The linear function shows the total cost will be y = 3x + 4".

For more about the linear function,

brainly.com/question/21107621

#SPJ2

Answer:

Rs. 2,50,000

Step-by-step explanation:

When a partnership distributes inventory items (hot asset) to its partners, the basis of the inventory items is used to record the transaction. Only when partnerships distribute assets other than hot assets will the fair market value of the assets be used to record the transaction.

The logic is that inventory items are valued at lower of cost or market value. This means that inventory items are already valued at FMV or cost, whichever is less. If the partnership recorded the transaction using Rs.1,75,000, then it would have to record a loss, and distributions cannot generate losses to a partnership. The only way to record the inventory items at Rs.1,75,000 is that previously the partnership writes down inventory.

Answer:

At 5% , $300 was invested

At 15%, $4,700 was invested

Step-by-step explanation:

Let the amount invested at 5% be $x and the amount invested at 15% be $y

x + y = 5000 ••••••(i)

Let’s work with the interest;

5% of x + 15% of y = 720

0.05x + 0.15y = 720 •••••(ii)

From i;

x = 5000-y

Insert this into ii

0.05(5000-y) + 0.15y = 720

= 250 - 0.05y + 0.15y = 720

250 + 0.1y = 720

0.1y = 720-250

0.1y = 470

y = 470/0.1

y = $4700

x = 5000-y

x = 5000-4700 = $300

Answer:

y = -3/4x - 6

Step-by-step explanation:

Answer:

In the given options, 4+5 = 5+4 shows the best commutative property.

Step-by-step explanation:

One of the properties that can be applied on numbers is commutative property. Commutative property states that the order of the numbers on which any operation is being performed, can be swapped and the answer won't change.

Commutative property can be applied on addition, subtraction and multiplication.

Commutative property of Addition:

Commutative property of addition states that changing the order of adding two numbers does not change the result i.e. a+b = b+a

In the given options, 4+5 = 5+4 shows the best commutative property.

Answer:

18

Step-by-step explanation:

You solve the inner first, then move to the outer.

Let's take a look at g(x) first. It's stated that g(x) = [tex]x^2[/tex]. We plug in 3 for x and get 9 as the answer.

We then use this answer in f(x). The formula stated is f(x) = 2x. We plug in 9 for x and get 18.

Answer:

1/2

Step-by-step explanation:

Answer:

y÷x 1÷2=1/2 This is the answer.

Answer:

cost of producing the 501st item = $9.92

Step-by-step explanation:

The function representing the cost is given by;

C(x) = 10000 + 90x - 0.08x²

To get the cost of producing the 501st item, we have to first find the cost of producing 500 items and then do the same for 501 items then subtract the values gotten.

Thus;

C(500) = 10000 + 90(500) - 0.08(500)²

C(500) = 10000 + 45000 - 20000

C(500) = $35000

Similarly;

C(501) = 10000 + 90(501) - 0.08(501)²

C(501) = 10000 + 45090 - 20080.08

C(501) = $35009.92

cost of producing the 501st item = C(501) - C(500) = 35009.92 - 35000 = $9.92

Answer:

x²=5x

x=5... probably c