2/5
Since 12 out of 30 marbles were black, you can assume that the percentage of black marbles in the bag is 40% (Ex: 12/30=.4) The probability that the marble you pick is black is equal to the percentage of black marbles in the bag. 40% is equal to 2/5.
I assume you meant to write 5^c = 125. The equivalent logarithmic expression for this would be ㏒₅125=c.
Answer:
Length: 13.9 inches
Step-by-step explanation:
a^2 + b^2 = c^2
a = 8 and c= 16
8^2 + b^2 = 16^2
64 + b^2 = 256
b^2 = 256 - 64
b = sqrt 192
b = 13.9
Answer:
Step-by-step explanation:
Given expression is,
(2x - 1)² + 2(2x - 1) = (2x - 1)(2x + 1)
To prove this identity we will take the left hand side of the equation and will prove equal to the right side.
(2x - 1)² + 2(2x - 1) = (2x - 1)(2x + 1)
4x² - 4x + 1 + 4x - 2 = (2x - 1)(2x + 1)
4x² - 1 = (2x - 1)(2x + 1)
(2x - 1)(2x + 1) = (2x - 1)(2x + 1) [Since a² - b² = (a - b)(a + b)]