It helps immensely if you know your times tables.
a) 36 = 6*6 = 2*3*2*3 = 2^2*3^2
b) 45 = 5*9 = 5*3*3 = 3^2*5
c) 2 is not a common factor; 3^2 is a common factor; 5 is not a common factor. The greatest common factor is 3^2 = 9.
d) The least common multiple can be found a couple of ways.
.. 1) the product of the distinct factors to their highest powers
.. .. .. 2^2 * 3^2 * 5 = 180
.. 2) the product of the numbers divided by their greatest common factor.
.. .. .. 36 * 45 / 9 = 180
Answer:
120 mL
Step-by-step explanation:
If the 480 mL has 75% concentration, then 360 mL are alcohol. To turn the 360 into only 60%, you need to increase the amount of water.
Answer:
A. P(n) = 12·2^n
Step-by-step explanation:
From one generation to the next, the population grows by a factor of ...
24/12 = 2
Only one offered expression is an exponential function with a base of 2:
P(n) = 12·2^n
(4x-3)(2x+1) expand the brackets: 8x^2 -2x -3 = area
