MATHEMATICS HIGH SCHOOL

The entire exterior of a large wooden cube is painted red, and then the cube is sliced into n^3 smaller cubes (where n > 2). Each of the smaller cubes is identical. In terms of n, how many of these smaller cubes have been painted red on at least one of their faces?A. 6n^2
B. 6n^2 – 12n + 8
C. 6n^2 – 16n + 24
D. 4n^2
E. 24n – 24

Answers

Answer 1

Answer:

Answer:

B. $6n^2-12 n +8$

Step-by-step explanation:

Given,

The number of smaller cubes = $n^3$

So, the number of cubes that have no coloured faces. = $(n-2)^3$ ,

Note : If a cube painted outside having side n is split into n³ cubes, then the volume volume that is not painted = (n-2)³

Thus, the remaining cubes that have been painted red on at least one of their faces

= Total cubes - cubes with no painted face

$= n^3 -(n-2)^3$

$=n^3 - (n^3 - 8 - 6n^2 +12n)$

$=6n^2-12 n +8$

Hence, OPTION B is correct.

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Answers

The combined weight of the boxes which is the product of the weight per box and the number of boxes is 14.5 ounces

Weight of each box = $3 \frac {1}{2} \: ounces$

Number of boxes = $4 \frac {1}{7}$

The combined weight will be the product of each single box and the Number of boxes ;

Weight of each box × Number of boxes

$\frac {7}{2} * \frac {29}{7} = (203)/(14)= 14 (1)/(2)$

Therefore, the combined weight of the boxes will be 14.5 ounces

Learn more :brainly.com/question/13497040

$3 (1)/(2) *4 (1)/(7) = (7)/(2) * (29)/(7) = (29)/(2) = 14(1)/(2) =14.5$

Use the quadratic formula to determine the exact solutions to the equation. 6x^2+4x-3=0

X=_____. Or x=_______

Answers

X1=(-2-√22)/6

X2=(-2+√22)/6

for ax²+bx+c=0
$x= (-b+/- √(b^2-4ac) )/(2a)$

6x²+4x-3=0
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b=4
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subsitute
$x= (-4+/- √(4^2-4(6)(-3)) )/(2(6))$
$x= (-4+/- √(16+72) )/(12)$
$x= (-4+/- √(88) )/(12)$
$x= (-4+/- 2√(22) )/(12)$
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aprox x=0.448403 or -1.11507

DAILY MATH QUESTIN
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Answers

Answer:

Step-by-step explanation:

9-3x3+1

9-9+1

Answer:

Step-by-step explanation:

Start with the division. 3 ÷ 1/3 = 9

Now continue to add/subtract in the order it comes.

9 - 9 = 0

0 + 1 = 1

What is the slope of the line that passes through the points (−2,7) and (2,−5)? Write your answer in simplest form.

Answers

Answer:

-3

Step-by-step explanation:

Slope = Rise/Run

We can find the amount between 7 and -5 as 12, and -2 and 2 as 4.

Then we can do rise/run and 12/4

Which would divide into 3.

ANd because we can see the x increases as the y decreases, we can find that it's a negative slope.

-3

What is the first step in solving the quadratic equation x2-40=0

Answers

Answer:

Hello my friend! The first step is to isolate the x and the 40 like this: x2 = 40.

Step-by-step explanation:

After you do that, you can perform the inverse operation of the x2, wich is the sqrt of 40. This way, you will have x=sqrt40 . X~=6.32

Answer:

The answer is B

Step-by-step explanation:

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Answers

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