Answer:
see explanation
Step-by-step explanation:
Given that the the difference of cubes is
a³ - b³ = (a - b)(a² + ab + b²)
Given
64
- 27 ← a difference of cubes
with a = 4x² and b = 3, thus
= (4x²)³ - 3³
= (4x² - 3)(16
+ 12x² + 9) ← in factored form
Answer:
3628800
Step-by-step explanation:
There are 10 options for the first number.
That leaves 9 options for the second number.
That leaves 8 options for the third number.
So on and so forth.
The number of ways 10 numbers can be arranged is:
10×9×8×7×6×5×4×3×2×1
= 10!
= 3628800
Volume of the cone:
V = 3.14 x 3^2 x 9/3 = 84.78
Volume of half sphere on top of cone:
V = (4/3 x 3.14 x 3^3 )/2 = 56.52
Total volume = 56.52 + 84.78 = 141.3 cm^3
Answer:
D 18%
Step-by-step explanation:
18/100 = 18%so D is the answer
20 students.
40% are boys. (40/100)*20 = 0.4 * 20 = 8 boys.
Girls= 20 - 8 = 12 girls.
25% of the boys wear glasses. = (25/100)*8 = 0.25*8 = 2 boys wear glasses.
50% of the girls wear glasses. = (50/100)*12 = 0.50*12 = 6 girls wear glasses.
Total students that wear glasses = 2 + 6 = 8 students.
8 students wear glasses.
