Answer:
81 x y^5
Step-by-step explanation:
Simplify the following:
9×3×3 x y^4 y
3×3 = 9:
9×9 x y^4 y
9 x y^4×9 y = 9×9 x y^(4 + 1):
9×9 x y^(4 + 1)
4 + 1 = 5:
9×9 x y^5
9×9 = 81:
Answer: 81 x y^5
Answer:
Step-by-step explanation:
From least to most likely
Honour
Simple
Bonus
Answer:
10x^2-25x-35
Step-by-step explanation:
FOIL means first, outer, inner, and last.
The first term of each pair is 2x and 5x.
The outer term of each pair is 2x and 5.
The inner term of each pairs are -7 and 5x.
The last term of each is -7 and 5.
Now we just have to multiply the terms I pairs above:
First: (2x)(5x)=10x^2
Outer: (2x)(5)=10x
Inner: (-7)(5x)=-35x
Last: (-7)(5)=-35
------------------------------Add the terms:
10x^2-25x-35
Answer:
OR {5, 6, 7, 8, .....}
Step-by-step explanation:
First of all, let us have a look at the interval shown on the number line and try to understand it properly.
The number line shows positive numbers starting from 3 that means numbers indicated will be positive numbers.
The number highlighted starts from 5 and there is filled circle at 5.
So, 5 is included in the interval.
The arrow is from 5 towards 8 and so on..
That means Numbers greater than or equal to 5 are represented by the interval.
So, writing as an inequality
Let 
represents one of the numbers.
Hence, inequality can be written as:
Using the set notation:
OR
{5, 6, 7, 8, .....}
Answer:
120 ways
Step-by-step explanation:
Given that, 3-letter sequences should be formed, where the second letter must be a vowel (A, E, I, O, U) and the third letter must differ from the first letter.
There are 26 alphabets in English,
so, firstly let us fix the second letter to be one of the vowels
now we are left with 25 alphabets and now let us fix the third letter to be an alphabet from the remaining 25 alphabets.
now, we are left with 24 alphabets and the first letter can be any of these 24 alphabets.
so, there are 24 ways to fill the sequence.
The same thing can be done with the other 4 vowels.
so, total number of ways = 5 × 24 = 120 ways.
