First, let us factor each number into their prime factors:
9 = 3 x 3
15 = 3 x 5
18 = 2 x 3 x 3
21 = 3 x 7
30 = 2 x 3 x 5
35 = 5 x 7
36 = 2 x 2 x 3 x 3
42 = 2 x 3 x 7
49 = 7 x 7
The four factors that were used to come up with the product game are
2, 3, 5, and 7
There's 24 hours in a day
so 24/100 = 0.24 < that is the percentage per hour
first eating - %10. 0.24x10= 2.4hrs eating
free time - 15% 0.24x15= 3.6hrs of free time
homework - 10% 0.24x10 = 2.4hrs of homework
school - 25% 0.24x25= 6hrs of school
and sleeping = 40% 0.24x40=9.6hrs of sleep
add them(hours) all up and you'll get 24!
2/3h−1/3h+11=8
1/3h = -3
h = -3(3)
h = - 9
<u>Answer</u>
a. r^n=a
c.^n√a=r
<u>Explanation</u>
<u><em>solution 1</em></u>
a⁽¹/ⁿ⁾ = r
Powering both sides of the equation by n;
a⁽¹/ⁿ ₓ ⁿ⁾ = rⁿ
<em>a¹ = rⁿ </em>
<u><em>solution 2</em></u>
Also,
a⁽¹/ⁿ⁾ = r
a⁽¹/ⁿ⁾ = ⁿ√a <em> (nth root of a)</em>
<em>ⁿ√a = r</em>