Answer:

Step-by-step explanation:
we are given half-life of PO-210 and the initial mass
we want to figure out the remaining mass <u>after</u><u> </u><u>4</u><u>2</u><u>0</u><u> </u><u>days</u><u> </u>
in order to solve so we can consider the half-life formula given by

where:
- f(t) is the remaining quantity of a substance after time t has elapsed.
- a is the initial quantity of this substance.
- T is the half-life
since it halves every 140 days our T is 140 and t is 420. as the initial mass of the sample is 5 our a is 5
thus substitute:

reduce fraction:

By using calculator we acquire:

hence, the remaining sample after 420 days is 0.625 kg
The answer is B. <span>Two lines are perpendicular if they meet at one point and one of the angles at their point of intersection is a right angle. A perpendicular line has to intersect and have a 90-degree angle in order to be perpendicular.</span>
Table a is 3 b is 2 and c is 1
Answer:
y = lnx/ln12
Step-by-step explanation:
Given the function y = 12^x, to find the inverse of the function, we news to write x as a function of y as shown:
Given y = 12^x
Taking ln of both sides
ln y = ln 12^x
ln y = xln12
Divide both sides by ln12
lny/ln12 = xln12/ln12
x = lny/ln12
x = ln(y-12)
Replacing y with x and x with y
The inverse of the function will be:
y = lnx/ln12