X - $42.15 > $20.00
<u> + $42.15 + $42.15</u>
x > $62.15
Answer:
1. 15x^7y^2 + 4x^3 => x^3(15x^4y^2 + 4)
2. 15x^7y^2 + 3x => 3x(5x^6y^2 + 1)
3. 15x^7y^2 + 6xy => 3xy(5x^6y + 2)
4. 15x^7 + 10y^2 => 5(3x^7 + 2y^2)
Step-by-step explanation:
To obtain the answer to the question, first let us factorise each expression. This is illustrated below:
1. 15x^7y^2 + 4x^3
Common factor is x^3, therefore the expression is written as:
x^3(15x^4y^2 + 4)
2. 15x^7y^2 + 3x
Common factor is 3x, therefore the expression is written as:
3x(5x^6y^2 + 1)
3. 15x^7y^2 + 6xy
Common factor is 3xy, therefore the expression is written as:
3xy(5x^6y + 2)
4. 15x^7 + 10y^2
Common factor is 5, therefore the expression can be written as:
5(3x^7 + 2y^2)
27^10-9^14
=3^30 - 3^28
=3^28 (3^2-1)
=3^28 ·8
=2^27 ·3·8
=3^27 · 24 is divisible by 24
Percent increase=increase/original converted to percent
increase=new-original=2.35-2.10=0.25
percent increase=0.25/2.10=0.11904=11.9%
Answer:
Volume = PI * r^2 * height
Volume = PI * 3.5^2 * 2
Volume = PI * 12.25 * 2
Volume = 76.969020013 cubic meters
Step-by-step explanation:
