First question
1:C 2:D 3:B 4:D
second question
0-2+5
9514 1404 393
Answer:
(x +1)^2 +(y -3)^2 = 4
Step-by-step explanation:
The equation of a circle centered at (h, k) with radius r is ...
(x -h)^2 +(y -k)^2 = r^2
The graphed circle is centered at (h, k) = (-1, 3), and has radius 2, so its equation is ...
(x +1)^2 +(y -3)^2 = 4
Answer:
Step-by-step explanation:
Given that,
Cells are divided into two cell every 20mins, this implies that the half-life is 20mins
Initial population growth is 60cells
Growth rate r?
Population growth is modeled as
P(t) = Po•exp(rt)
Where,
Po is the initial growth at t= 0
Po= 60
P(t) is population at any time t.
Since the population doubles every 20mins(⅓hr)
Then, P(⅓) = 2×60 =120
Then, P(t) = 120cells
So, applying the formula
P(t) = Po•exp(rt)
120 = 60•exp(⅓r)
120/60 = exp(r/3)
2 = exp(r/3)
Take In of both sides
In(2) = r/3
Cross multiply
r = 3In(2)
r = 2.079 /hour
The growth rate is 2.079/hour.
A quarter of its original size would be 25% of 100%, right? Therefore, the tumor would have to shrink 75%. If each treatment, the tumor shrinks 5% that would mean it takes 15 treatments to shrink 75 percent.
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X=-3
because
-4x=21-9
-4x= 12 divide both sides
x=-3
