Answer:
The answer is
<h3>81x⁴ + 216x³ + 216x² + 94x + 16</h3>
Step-by-step explanation:
(3x + 2)⁴
<u>Using the Pascal's triangle</u>
For an exponent of 4 we have
( a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b³
Using a = 3x and b = 2 we have
( 3x +2)⁴ = ( 3x)⁴ + 4 [ (3x)³(2) ] + 6[ (3x)²(2)²] + 4 [ 3x(2)³ ] + 2⁴
Expand and simplify
That's
➢ ( 3x +2)⁴ = 81x⁴ + 4[ (27x³)(2) ] + 6 [ (9x²)(4) ] + 4 [ 3x(8) ] + 16
➢ 81x⁴ 4( 54x³) + 6(36x²) + 4( 24x) + 16
We have the final answer as
<h3>81x⁴ + 216x³ + 216x² + 94x + 16</h3>
Hope this helps you
Im not sure if this is correct but I got that -3(2x-5)<5(2-x) so I got the same thing as the question
Using the combination formula, it is found that there are 220 ways to decide which countries to skip.
The order in which the countries are skipped is not important, hence the <em>combination formula </em>is used to solve this question.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:

In this problem, 3 countries are skipped from a set of 12, hence the number of ways is given by:

More can be learned about the combination formula at brainly.com/question/25821700
#SPJ1
Answer:
458.838
Step-by-step explanation:
28 x 16.387 = <u>458.838</u>
Answer:
5/6
Step-by-step explanation:
On a standard 6-sided die, there is only one 2. That means that there are 5 other numbers that it could land on (1, 3, 4, 5, 6).
Using that information, the probability of it not landing on a 2 is 5 out of 6 or 5/6. This is because you must do part over whole. The "part" in this situation is the 5 "wanted" numbers, and the "whole" is 6 because there are six potential numbers that it could land on.
I hope this helps.