Answer:
(x, y) → (x - 3, y + 5 )
Step-by-step explanation:
A shift of 3 units to the left means subtract 3 from the original x- coordinate.
A shift of 5 units up means add 5 to the original y- coordinate.
Thus the rule representing the translation is
(x, y ) → (x - 3, y + 5 )
1) write all numbers above the common denominator
2) remove parentheses
3)distribute to 2x through the parentheses
4)multiply the parentheses
5) collect the like terms
6)remove parentheses
7)when there is a negative in front of the parenthesis it changes the sign of each term inside the parentheses
8) collect the like terms
Answer:
Step-by-step explanation:
Given a sample M(t)
M(t) = 120 • ( 81 / 625)^t
When is the fraction of the mass decay to 3/5 of it's mass
Generally
M(t) = Mo•(k^t)
The original mass is 120
Mo = 120
So, we want to find time when it decay to 3/5 of it's original mas
M = 3/5 × 120
M = 72
Then,
M(t) = 120 • ( 81 / 625)^t
72 = 120 • ( 81 / 625)^t
72 / 120 = ( 81 / 625)^t
0.6 = ( 81 / 625)^t
Take natural logarithmic of both sides
In(0.6) = In(81/625)^t
In(0.6) = t•In(81/625)
t = In(0.6) / In(81/625)
t = In(0.6) / In(0.1296)
t = 0.25 monthly
t = ¼ monthly
Answer:
7.0043 X 10^9
Step-by-step explanation:
Get all the significant numbers put the first number before a decimal point.
You always times by 10
The power depends on the number of numbers after the first significant number. Eg. 7
The slope is undefined .............Lol D;)