Answer:
9
Step-by-step explanation:
(-9)^1/3 * (-81)^1/3
We can rewrite -81 as 9 * -9
So it can be rewritten as:
(-9)^1/3 * (9*-9)^1/3
Since they are all raised to the 1/3, we can combine the bases:
(-9*9*-9)^1/3 =
(9*9*9)^1/3, because the two negatives turn into a positive:
So this is basically:
(9^3)^1/3 = 9^1 = 9
Answer:
1/8 or 0.125
Step-by-step explanation:
Let x be the length of the sides of the square ABCD.
Therefore, the length of CN and CM is x/2.
The area of the triangle MCN is:

The area of the square ABCD is:

Thus, the probability that a random point lies in the triangle MCN is:

The probability that the point will lie in the triangle MCN is 1/8 or 0.125.
Answer:
Let x = the number
2(x-5) = 9
2x - 10 = 9
2x = 19
x = 9.5
Step-by-step explanation:
Out of 1,200 students, 700 are boys. Therefore, the fraction would be

.
To convert this into a percentage, divide 700 by 1,200.

= 0.583333 (or just 0.583 if you round)
Multiply 0.583
by 100 to get a percentage.
0.583 · 100 =
58.3So, the percent of boys at the school is
58.3%.