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KiRa [710]
3 years ago
10

Please answer this ASAP please!!!

Mathematics
1 answer:
miskamm [114]3 years ago
8 0

Answer:

1/12

Step-by-step explanation:

There are 36 possible outcomes

Out of the 36 there are only 3 where the sum is 4 that is (1,3),(2,2),(3,1)

Hence probability= 3/36 which equals to 1/12

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Look at the pentagonal numbers. Use finite differences to determine which function represents the pattern.
Ahat [919]

Answer:

f(x) = 1.5x - 0.5x

Step-by-step explanation:

The function of the pattern represented by the pentagonal numbers is the sum of three triangular numbers.

The triangular number general formula

                      x (x + 1) / 2

For  example,

The sequence

1,     3,     6,      10

                                             *

                          *              *  *

         *           *   *          *   *  *

* ,    *  *,     *   *   *,     *   *   *  *

_____________________________

The pentagonal numbers

The sequence:

1, 5, 12, 22, 35

As shown in the picture can be divided into three triangles

Triangle 2

x (x + 1) / 2

Triangle 1 and 3  (they are triangles one unit smaller than 2)

n (n + 1) / 2

n= x-1

Replacing n

(x-1) ((x-1) + 1) / 2

(x-1) (x) / 2

(x-1) x / 2

______________

Function represents the pattern

Triangle 2  + (Triangle 1  +  Triangle 3)

Triangle 1  = Triangle 3

So then,

Triangle 2 + 2* Triangle 1

x (x +1) /2  + 2* (x -1) x/2

Rearranging

0.5 x (x +1) + x(x -1)

0.5x^2 + 0.5x + x^2 -x

(0.5 x^2 + x^2)  + (0.5x -x )

1.5 x^2 - 0.5 x  

______

3 0
3 years ago
Read 2 more answers
Use conversion factors to find the answer, distance tracked in feet after 12 seconds at 87 miles per hour.
Assoli18 [71]
1 hour=3600 seconds
1 mile=5280 feet
87 miles/hr (1 hr/3600 sec)(5280 ft/mile)=127.6 feet/sec

Distance= Rate*time
d=127.6(12)=1531.2 feet (after 12 seconds) 
3 0
3 years ago
PLEASE HELP WILL MARK BRAINLIEST
Nataliya [291]

Answer:

You may or may not need to include the units.

A = 18x - 18

P = 6x + 6

Graph is attached below. (2, 18)

Step-by-step explanation:

Substitute the information we need, "l" and "w", into the formulas.

l is for length, 6cm.

w is for width, (3x - 3)cm.

Use the formula for area of a rectangle.

A = lw

A = (6)(3x-3)cm²

A = (18x - 18)cm²  or 18x - 18

Use the formula for perimeter of a rectangle.

P = 2(l + w)

P = 2(6 + (3x - 3))cm

P = 2(3x + 3)cm

P = (6x + 6)cm  or 6x + 6

Linear equations are written in the form y = mx + b, so we do not need to factor or further simplify the formulas.

To graph, first turn the "m" value into a fraction form.

8 -> 8/1

6 -> 6/1

You need two points to graph each line.

For each equation, the first point is on the y-axis at the "b" value. Then use the "m" in the equation to count the number of units up (numerator) and to the right (denominator).

The solution is (2,18)

8 0
3 years ago
MATH PLEASE HELP TwT
kaheart [24]

Answer:

The first and the third answer!

Step-by-step explanation:

The slope is NOT -6, it is -3/2 !!

The y intercept is 0

and the last one isn't right bc the slope and intercept is wrong!!!

I hope this helps, tho!! Have an awesome day :D

7 0
3 years ago
Von buys a bag of 34 Dog treats he gives his puppy 3 treat a day.How many days will the bag of dog treats last?
makkiz [27]

Answer:

11 days with one treat left over. Or 11.3

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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