Answer:
C. 3/2x
Step-by-step explanation:
Firstly, we know that the slopes are the same because parallel lines have the same slope. Then we can find the y-intercept by using the slope and point in slope-intercept form.
y = mx + b ---> plug in known values
3 = (3/2)(2) + b ---> Multiply
3 = 3 + b ---> Subtract 3 from both sides.
0 = b
Since the intercept is 0, you will not see a number after the slope and x.
Answer: 41.5 min
Step-by-step explanation:
This problem can be solved with the Radioactive Half Life Formula:
(1)
Where:
is the final amount of the radioactive element
is the initial amount of the radioactive element
is the time elapsed
is the half life of the radioactive element
So, we need to substitute the given values and find
from (1):
(2)
(3)
(4)
Applying natural logarithm in both sides:
(5)
(6)
Clearing
:
This is the time elapsed
Answer: 222cm
Step-by-step explanation:
To find the area of this composite shape you will have to split them into 2 shapes; a rectangle and a triangle.
To work out the area of the rectangle you have to do 15×12= 180
Then, to work out the area of the triangle, you use the formula base times height divided by 2.
7×12=84
84÷2=42
Then to work out the total area of both the rectangle and the triangle, you have to add the area of both.
180+42=222cm
Hope this helps :)
Multiplying with 6 is like multiplying with 3 because, you just double it. Let's say 3 × 4 = 12
Its the same as 6 × 2 = 12 ... which is just 3 + 3 + 3 + 3 . ((: