Answer:
M(t) = 400•(0.79)^t
Step-by-step explanation:
As we can see, the change in mass is not uniform linearly
So it will be better if we used an exponential representation
The general form for an exponential representation is:
M(t) = I(1-r)^t
where r is the rate of decay, I is the initial value and t is the time in weeks with M(t) being the mass
Let us use any two points on the table
Thus, we have it that;
50 = 400(1-r)^9 •••••(i)
201 = 400(1-r)^3 •••••(ii)
divide i by ii
50/201 = (1-r)^6
0.249 = (1-r)^6
1-r = 6√0.249
1-r = 0.79
r = 1-0.79
r = 0.21
So the exponential equation is;
M(t) = 400•0.79^t
The easiest variable you can solve for first is "z". Knowing that opposite angles of a quadrilateral inscribed in a circle are supplementary, subtract 93 from 180 to get z.
Z should equal 87.
The next variable we can solve for is "x". We know that inscribed angles are half the measure of their intercepting arc, so we know 93 is half of (112 + x). The equation would look like this:
93= (112 + x)/2
Multiply both sides by 2
186 = 112 + x
Subtract 112 from both sides
74 = x
Now we can apply the same method we used to find "x" to find y. Set up an equation like this:
80 = (y + x)/2
Substitute the value of x in
80 = (y + 74)/2
Multiply both sides by 2
160 = y + 74
Subtract 74 from both sides
86 = y
Hope this helps!
Answer:
0 10
1 20
Step-by-step explanation:
0,0
1,20
2,40
3,50
4 60
