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4 years ago

Answer the question in my attachment

Mathematics

1 answer:

xxTIMURxx [149]4 years ago

3 0

288 inches

Subtract 8 from 26 which gets you 18. Then, multiply 16 and 18 together and the product is 288.

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if 10 800 cm2 of material is available to make a box with a square base and an open top find the largest possible volume of the

lubasha [3.4K]

Let

x--------> the length side of the square base of the box

y-------> the height of the box

we know that

The surface area of the box is equal to

$SA=4xy+x^{2}$

$SA=10,800\ cm^{2}$

$10,800=4xy+x^{2}$

$y=(10,800-x^{2})/(4x)$

$y=(2,700-0.25x^{2})/(x)$ --------> equation A

the volume of the box is equal to

$V=x^{2}y$ --------> equation B

Substitute the equation A in the equation B

$V=x^{2}*(2,700-0.25x^{2})/(x)$

$V=x*(2,700-0.25x^{2})$

$V=(2,700x-0.25x^{3})$

using a graphing tool

see the attached figure

For $x=60\ cm$

$Volume=108,000\ cm^{3}$

the point $(60,108,000)$ is a maximum of the function

Find the dimensions of the box

$x=60\ cm$

Find the value of y

$V=x^{2}y$

$y=V/x^{2}$

$y=108,000/60^{2}$

$y=30\ cm$

The dimensions of the box are

$60\ cm*60\ cm*30\ cm$

The largest possible volume of the box is

$108,000\ cm^{3}$

7 0

3 years ago

Read 2 more answers

A video game sets the points needed to reach the next level based on the function g(x) = 12(2)x − 1, where x is the current leve

Elden [556K]

In the function g(x) the exponent is (x - 1), so g(x) = 12 * 2 ^ (x -1)

h(x) = 3x

So, you have to find the product f(x) * h(x) for x = 6

f(6) = 12 * 2 (6 -1) = 12 * 2(5) = 12 * 32 = 384

h(6) = 3(6) = 18

f(6) * h(6) = 384 * 18 = 6912

Answer: 6912

8 0

3 years ago

Solve this problem using the Distributive Property. 2 ( 7 + 8 ) =

maria [59]

Answer:

Step-by-step explanation:

Original Equation: 2(7 + 8)

So you have to multiply 2 by 7 which equals 14

Then you multiply 2 by 8 which equals 16

Your equation should now look like this: 14 + 16

Add 14 and 16 together.

Your answer is 30

Hope I helped :)

Please condsider brainliest

7 0

4 years ago

You randomly choose one of the tiles shown. Select the favorable outcome(s) of choosing a 6.

Alona [7]

Answer:

If there are 6 tiles, the probability is 1/6

Step-by-step explanation:

6 0

4 years ago

PLEASE HELP QUICK

aleksandrvk [35]

Answer:

A conditional statement is something like:

If P, then Q.

P = hypothesis.

Q = conclusion.

In this case, we have:

"If a polygon is a quadrilateral, then it is a square".

1) The hypothesis is: a polygon is a quadrilateral

2) The conclusion is: it is a square

3) It is not true, because there are other quadrilaterals that are not squares, for example, the rectangles.

4) The inverse of a conditional statement is (using the same notation than above)

If not P, then not Q.

In this case is:

"If a polygon is not a quadrilateral, then it is not a square"

(this is true)

5) A converse statement is:

If Q, then P

In this case is:

"if it is a square, then the polygon is a quadrilateral"

(Also true)

6) A biconditional statement is written as:

P if and only if Q.

In this case is:

A polygon is a quadrilateral if and only if it is a square.

(This is false)

3 0

3 years ago