The half life formula is :

where N(t) = remaining quantity after t years
No = Original Quantity
t = time in years
T = half life in years
From the problem, we have :
N(t) = 30 grams
No = 100 grams
T = 674
Solve for t :

Take ln of both sides :

The answer is t = 1170.71 years
Answer:
90
Step-by-step explanation:
X-y=6 Equation 1
x+y=4 Equation 2
To graph the given system of equation, first find x and y-intercept of each equation.
x-y=6
When y=0
x=6 Point is (6,0)
When x=0
-y=6
y=-6 Point is (0,-6)
Now x-intercept and y-intercept for equation 2.
x+y=4
When x=0
y=4 Point is (0,4)
When y=0
x=4 Point is (4,0)
Now plot these points on the graph, the lines intersect each other at point (5,-1), which is the solution of the given system.
Answer: (5,-1)
Answer:
h(1) = 1, h(2) = 3, h(3) = 4
Step-by-step explanation:
Given function h(x)
<u>Need to find :</u>
<u>h(1) falls under the second condition as -2 ≤1<2:</u>
- h(1) = - (x-1)² + 1 = -( 1 - 1)² + 1 = 1
<u>h(2) and h(4) fall under the third condition as x=2,4 ≥ 2:</u>
- h(2) = 1/2x + 2 = 1/2*2 + 2 = 1 + 2 = 3
- h(4) = 1/2x + 2 = 1/2 * 4 + 2 = 2 + 2 = 4