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3 years ago

6x6 in expanded form

Mathematics

2 answers:

rewona [7]3 years ago

4 0

Answer:

6+6+6+6+6+6

Step-by-step explanation:

if you add 6 six times you will get 36

aivan3 [116]3 years ago

4 0

Answer:

Multiplication form=6x6 Addition Form=6+6+6+6+6+6

Step-by-step explanation:

When you add 6 to 6 six times you will get 36. Say you see a problem like 6^6. That will not equal the same thing because its multiplying 6 by 6 6 times. So, its multiplying 6 by 6 six times. 46, 656 is what its equal to. But 6x6 is certainly 36.

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From a thin piece of cardboard 50 in. by 50 in., square corners are cut out so that the sides can be folded up to make a box. Wh

mixer [17]

Answer:

When dimension of box is 33.33 inches × 33.33 inches ×8.33 then its volume is maximum and is 9259.26 cubic inches.

Step-by-step explanation:

Let h be the length (in inches) of the square corners that has been cut out from the cardboard and that would be the height of the cardboard box.

Since the squares have been cut from cardboard, both sides of the cardboard would reduce by 2h.

Thus, The dimension of box is (50 – 2h) × (50 – 2h) × h in dimensions.

The volume V of rectangular box = (Length × Breadth × Height) cubic inches.

$V=(50-2h) \times (50-2h) \times h$

$V=(50-2h)^2 \times h$ ..............(1)

Using $(a-b)^2=a^2+b^2-2ab$

$V=h(2500+4h^2-200h)$

$V=2500h+4h^3-200h^2$

For obtaining a box of maximum volume, maximize V as a function of h.

Differentiate both sides with respect to h,

$\frac{dV}{dh}=2500+12h^2-400h$

$\frac{dV}{dh}=4(625+3h^2-100h)$

Solving quadratic equation, $625+3h^2-100h$

$\frac{dV}{dh}=4(3h^2-25h-75h+625)$

$\frac{dV}{dh}=4(h(3h-25)-25(3h-25))$

$\frac{dV}{dh}=4((h-25)(3h-25))$

For maximum, $\frac{dV}{dh}=0$

thus, $4((h-25)(3h-25))=0$

⇒ $h= 25$ or $h=\frac{25}{3}$

Now check (1) for $h= 25$ and $h=\frac{25}{3}$ .

$h= 25$ is not possible as when h is 25 inches then length and breadth becomes 0.

When $h=\frac{25}{3}$ .

(1) ⇒ $V=(50-2(\frac{25}{3}))^2 \times\frac{25}{3}=9259.2592593$

This is the maximum volume the box can assume.

Thus, when dimension of box is 33.3 inches × 33.3 inches ×8.3 then its volume is maximum and is 9259.26 cubic inches.

6 0

3 years ago

Evaluate 5x³ + 2 for x = -1. 0 -3 04 06 0-7

zysi [14]

Answer:

-3

Step-by-step explanation:

5x³ + 2 , when x = -1

5(-1)³ + 2

= -5 + 2

= -3

6 0

2 years ago

Read 2 more answers

The oblique rectangular prism below has a length of 6 cm, a width of 8 cm, and a height of 7 cm.

Illusion [34]

The base area of the prism is calculated as -

Area of prism = Length X Width

We are given that, length = 6 cm and width = 8 cm

Thus, area of prism = 6 cm X 8 cm = 48 cm²

Now, the volume of prism will be calculated as -

Volume of prism = Length X Width X Height

We are given height as = 7 cm

So, volume of prism will be = 6 cm X 8 cm X 7 cm

Volume of prism will be = 336 cm³

3 0

4 years ago

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Is x^2 a quadratic expression?

givi [52]

Yes it is a quadratic expression

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3 years ago

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What is the equation of a line that passes through (7,8) and has a slope of -3

DIA [1.3K]

Look up online "equation calculator" and it should be the first one to appear, "Symbolab" supper easy way to help you with problems!

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3 years ago