All categories

2 years ago

Please help me. Thank you...

Mathematics

1 answer:

bekas [8.4K]2 years ago

4 0

9514 1404 393

Answer:

V = (x)(10-2x)² . . . . factored form

V = 4x³ -40x² +100x . . . . standard form

Step-by-step explanation:

A square with corners cut out has no volume. It is a plane figure.

We presume you are interested in the volume of the open-top box obtained by folding up each "ear" of the cut figure. The length of each side of its square bottom is 10-2x. The depth of the box is x. So, the volume is ...

V = LWH = (10-2x)(10-2x)(x)

V = x(10 -2x)²

_____

The graph shows the volume is a maximum when x = 1 2/3 cm.

You might be interested in

Daniel wants to by cookies for her new freind the radius of a cookie is 5 inches what is the distance around the cookie

lapo4ka [179]

Answer: Is it 31.4?

Step-by-step explanation:

5x2= 10 and 10 x 3.14= 31.4

(if by distances around you mean circumfernece)

7 0

3 years ago

Nhan wants to paint an accent wall in her living room .

skelet666 [1.2K]

Hope it looks good
what color is nhan thinking

4 0

3 years ago

(-8,-4)&(2,-9) fint the distance between each pair of points

Makovka662 [10]

Answer:

$5 \sqrt{5}$

Step-by-step explanation:

We want to find the distance between (-8,-4) and (2,-9).

We use the distance formula:

$d = \sqrt{ {(x_2-x_1)^2} +(y_2-y_1)^2 }$

We substitute the coordinates to get:

$d = \sqrt{ {(2- - 8)^2} +( - 9 - - 4)^2 }$

We simplify to obtain:

$d = \sqrt{ {(2 + 8)^2}+( - 9 + 4)^2 }$

Add the numbers within the parenthesis to get:

$d = \sqrt{ {(10)^2}+( -5)^2 }$

Find the squares of the numbers under the radical

$d = \sqrt{ {100}+25}$

$d = \sqrt{125} = 5 \sqrt{5}$

7 0

3 years ago

Jack has a mask collection of 500 masks. He keeps 235 of the masks on his wall. What percentage of Jack's mask collection does h

marta [7]

Answer:

47%

Step-by-step explanation:

First we need to find the ratio of masks on Jack's wall to the total number of masks, which is 235/500. Now we need to make the denominator 100 in order to find the percentage by dividing the numerator and denominator by 5 to get 47/100. Therefore the percentage of Jack's mask collection that is on his wall is 47%.

3 0

2 years ago

7n-4=31 so what does n equal

Ratling [72]

Answer:n=5

Step-by-step explanation:

7n-4=31

7n=31+4

7n=35

divide both sides with 7

n=5

7 0

2 years ago

Read 2 more answers