Answer:
1/24
Step-by-step explanation:
multiply 1/9 and 3/8. The product of the two factors is 3/ 72. Seeing the two factors on the other hand, we can cancel out 3. Hence the final answer to this problem in lowest terms becomes 1/24.
Answer:
G=0.0728
Step-by-step explanation:
The expression given is:

This expression has the format of a compounded interest at a rate G for a time T. If B = 3,455, A = 1,969, and T = 8, the value of the rate G is determined by:
![3,455=1,969*(1+G)^8\\G = \sqrt[8]{\frac{3,455}{1,969}}-1\\G=0.0728](https://tex.z-dn.net/?f=3%2C455%3D1%2C969%2A%281%2BG%29%5E8%5C%5CG%20%3D%20%5Csqrt%5B8%5D%7B%5Cfrac%7B3%2C455%7D%7B1%2C969%7D%7D-1%5C%5CG%3D0.0728)
The rate G is 0.0728.
Answer:
Option 1
Step-by-step explanation:
Rational numbers do not have infinite decimals.
Option 1:
-5, 3/4 and √49 are all rational. Correct
√49 = 7
3/4 = 0.75
-5 = -5
Option 2:
1/4 = 0.25
5 = 5
√12 = 3.4641...
Incorrect
Option 3:
-1/2 = -0.5
-3 = -3
√8 = 2.82841...
Incorrect
Option 4:
1/7 = 0.142857...
9 = 9
√11 = 3.31662...
Incorrect
Step-by-step explanation:
81x⁴ - 16y⁴
(9x²)² - (4y²)²
(9x² + 4y²)(9x² - 4y²)
(9x² + 4y²)(3x + 2y)(3x - 2y)
The square root of 144 is 12