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zvonat [6]
4 years ago
7

Suppose a game of 3-D tic tac toe is played on a 6x6x6 cube. How many winning lines of 6-in-a-row are there through the cube?

Mathematics
1 answer:
schepotkina [342]4 years ago
7 0
On a cube of side k and n dimensions, there are
[(k+2)ⁿ - kⁿ] / 2 
winning lines.

In your case,
k = 6
n = 3

Therefore:
[<span>(6+2)³ - 6³] / 2 
= (8</span>³ - 6³) / 2 
= (512 - 216) / 2 
= 148

Hence, there are 148 6-in-a-row winning lines through the cube.

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What are they asking me?
morpeh [17]
Basically, they're asking you to find the slope of the given line, as well as finding how far apart each points are from one another, horizontally and vertically.

Remember, horizontal goes this way (------) and vertical goes this way  (I)
                                                                                                                            (I)
                                                                                                                            (I)
a)  Horizontal distance : -2
Vertical distance : 3

b)  Slope :

Remember, slope is rise over run.

So, rise = vertical distance, and run = horizontal distance.

So, our slope is : -3/2

~Hope I helped!~
4 0
3 years ago
Write an equation in slope intercept form of the line with q slope of -3/4 and y intercept of -5
elena-s [515]

Answer:

y = (-3/4)x - 5

Step-by-step explanation:

The general form of the slope-intercept equatin of a straight line is

y = mx + b, where m is the slope  and b is the y-intercept.

Substituting -3/4 for m and -5 for b, we get:

y = (-3/4)x - 5

6 0
3 years ago
select the irrational number? A)√9 B)√12 C)√16 D)√20 E)√25 (there should be more than one answer)
GenaCL600 [577]
The answers are:
__________________________
    [B]:  "√12 " ;   AND:
__________________________
    [D]:  "<span>√20" .
__________________________
Note:  "Irrational numbers" have decimals that are:  1) non-terminating;  AND:  2) non-repeating.
__________________________
Consider the answer choices given; and consider the given information that there "should be no more than one answer.
__________________________________
Consider the following answer choices:
__________________________________
Choice A)  "</span><span>√9"  =  3 .  Rule out this choice.
__________________________________
Choice C)  "</span><span>√16" = 4 .  Rule out this choice.
__________________________________
Choice E)  "</span><span>√25" = 5.   Rule out this choice.
_________________________________
We are left with 2 (two) remaining answer choices:
    [B]:  "</span>√12"  ;  and:  [D]:  "<span>√20" .
_________________________________
If there are more than one answer, then these two choices should be the correct answer.   However, let us explore these two choices, using a calculator.
____________________________
    [B]:  </span>"√12"  =  3.4641016151377546

    [D]:  "√20"  =  4.4721359549995794
_________________________________
These two answer choices should the correct answers.
6 0
4 years ago
The standard divination of a set of data is 9.5 the mean is 205 what is the margin of error
skelet666 [1.2K]

Step-by-step explanation:

Margin of error = critical value × standard deviation

We aren't given the critical value or any information to calculate it, so we need to make some assumptions.  Assuming the data set is large enough to be approximated as normal, and that the confidence level is 95%, then the critical value is 1.96.

ME = 1.96 × 9.5

ME = 18.62

You may choose to round 1.96 to 2, in which case the margin of error is:

ME = 2 × 9.5

ME = 19

8 0
4 years ago
Ethan and Nolan work at the rodeo. Ethan lives 3 miles from the rodeo, and Nolan lives 4 miles from the rodeo. What's the closes
yawa3891 [41]
They could be 1 mike apart if there both the same direction from the rodeo !! Hope this helps
6 0
3 years ago
Read 2 more answers
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