Answer: 5/11
Step-by-step explanation:
There are 11 options, and 5 of them give the outcome you want.
5/11
The square root of 5 is 5^(1/2)
the cube root of 5 is 5^(1/3)
so square root of five times cube root of five= 5^(1/2)*5^(1/3)=5^(1/2+1/3)= 5^(5/6)
1. (x² + 24) factors as the difference of two squares (x² - (-24)) where -24 is the square of the complex number i√24 = 2i√6. The factoring is
(x - 2i√6)(x + 2i√6)
2. The square of half the coefficient of the x-term needs to be added: 4.5² = 20.25
This number goes in both boxes.
3. This is the square of (y² +20), so the factorization is similar to that for problem 1.
y⁴ + 40y² + 400 = (y² + 20)² = (y -2i√5)²(y +2i√5)²
One class is 45 minutes.
That's 90 minutes per week.
8 weeks times 90 minutes is 720 minutes.
720 minutes divided by 60 minutes in the hour is 12 hours. Answer C.
150 - 36 = 114 os remaining;
114/150 = 0,76 (as a decimal) = 76% (as a percentage);