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2 years ago

Is this right or? not sure how they want it simplifed

Mathematics

2 answers:

Ratling [72]2 years ago

4 0

You have the correct answer bro it is -4

DanielleElmas [232]2 years ago

3 0

Yes -4 is the correct answer.

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Evaluate the expression for x = 4, y = 1: x + 12 y + 3

dimulka [17.4K]

16 on the top and 4 on the bottom

3 0

3 years ago

Which is a diagonal through the interior of the cube? BE CF DG GF

miv72 [106K]

B cf You’re welcome

4 0

3 years ago

Read 2 more answers

3) Postcards: Marcie wants to make a box to hold her postcard collection from a piece of

klasskru [66]

The volume of the box is the amount of space in it.

The dimension of the postcard is:

$\mathbf{Length = 10}$

$\mathbf{Width = 18}$

Let x represents the length of the cut.

So, the dimension of the box is:

$\mathbf{Length = 10 -2x}$

$\mathbf{Width = 18 -2x}$

$\mathbf{Height = x}$

(a) The function that represents the volume of the box

This is calculated as:

$\mathbf{V(x) = Length \times Width \times Height}$

So, we have:

$\mathbf{V(x) = (10 - 2x) \times (18 - 2x) \times x}$

Expand

$\mathbf{V(x) = 180x - 56x^2 + 4x^3}$

Hence, the volume function is: $\mathbf{V(x) = 180x - 56x^2 + 4x^3}$

(b) The dimension that maximizes the volume

We have:

$\mathbf{V(x) = 180x - 56x^2 + 4x^3}$

Differentiate

$\mathbf{V'(x) = 180- 112x + 12x^2}$

Set to 0

$\mathbf{180- 112x + 12x^2 = 0}$

Using a calculator, we have:

$\mathbf{x = 7.3,2.1}$

The value x = 7.3 is greater than the dimension of the box.

So, we have:

$\mathbf{x = 2.1}$

Recall that:

$\mathbf{Length = 10 -2x}$

$\mathbf{Width = 18 -2x}$

$\mathbf{Height = x}$

So, we have:

$\mathbf{Length = 10 -2 \times 2.1 = 5.8}$

$\mathbf{Width = 18 -2 \times 2.1 = 13.8}$

$\mathbf{Height = 2.1}$

Hence, the dimension that maximizes the volume is 5.8 by 13.8 by 2.1

(c) The maximum volume

This is calculated as the product of the dimension of the box

So, we have:

$\mathbf{Volume = 5.8 \times 13.8 \times 2.1}$

$\mathbf{Volume = 168.1}$

Hence, the maximum volume of the box is 168.1 cubic inches

Read more about volumes at:

brainly.com/question/17056191

5 0

3 years ago

There are white, blue, and red boats in a marina. Two-thirds of the boats in the marina are white, 4 7 of the remaining boats ar

Aleksandr-060686 [28]

Answer: the number of boats that are in the marina is 105.

Step-by-step explanation:

Let x represent the number of boats that are in the marina.

Two-thirds of the boats in the marina are white. It means that the number of white boats in the marina is

2/3 × x = 2x/3

The remaining number of boats will be

x - 2x/3 = x/3

4/7 of the remaining boats are blue. It means that the number of boats that are blue is

4/7 × x/3 = 4x/21

The number of boats left would be

x/3 - 4x/21 = 3x/21

If there are 15 red boats, it means that

3x/21 = 15

3x = 21 × 15 = 315

x = 315/3

x = 105

3 0

3 years ago

19 * 15 hello I need help on 19 * 15 + 5 + 6 + 7 - 8 - 5

ivanzaharov [21]

Answer:

290

Step-by-step explanation:

Using PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction)

(19*15)+5+6+7-8-5=

(285)+5+6+7-8-5=

290

4 0

3 years ago