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
Answer:
the given expression is equivalent to
Step-by-step explanation:
![\frac{ \sqrt[4]{200} }{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%5B4%5D%7B200%7D%20%7D%7B2%7D%20)
9514 1404 393
Answer:
3
Step-by-step explanation:
The gradient is the ratio of "rise" to "run". Here, it appears the line crosses the y-axis at y = -1. It appears that it also crosses the grid intersection at (1, 2). This represents a "rise" (change in y) of (2 -(-1)) = 3, for a "run" (change in x) of (1 -0) = 1. Then the gradient is ...
m = rise/run = 3/1 = 3
The gradient of the graph is 3.
Answer:
The statement is false
Step-by-step explanation:
we know that
if the triangle is a right triangle
then
the triangle must satisfy the Pythagoras Theorem

we have



substitute



therefore
Is not a right triangle
The statement is false