5. After 6 hours, the concentration is halved. After 12 hours, it will be quartered. If the original concentration is 200 nmol, a quarter is 50 nmol.
14. The population doubles after 3 hours, and a day is 24 hours. That means that the original population should be multiplied by
, or
. 3 million times
is 3 * 256 million, or 768 million.
15. The concentration is halved every 8 hours and the original concentration is 100 nmol. So now, how many times do you halve 100 to get to 12.5?
100/2 = 50, 50/2 = 25, 25/2 = 12.5. That's three times. 3 * 8 is 24 hours, or 1 day.
Using f(x) = y, we know that a graph of the function contains the (x,y) points (2,5) and (6,-1). first find the slope of that line,
m = (y2 - y1)/(x2 - x1) ⇒ -6/4⇒-3/2
then using either point (I'll use the first one) solve for b in y = mx + b.
5 = (-3/2)(2) + b⇒ 5 = -3 + b⇒ 8 = b.
So y = (-3/2)x + 8 ⇒ f(x) = (-3/2)x + 8.
4 1/2 and 48 for #1
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Answer:
3
Step-by-step explanation:
This task is about reflecting the numbers you have given. So if you had 3 and -3 in the first point, the second one is -3 and 3, following 6 and 3 is reflecting 3 and 6. Finally 3 and 3 reflection is 3 and 3 :)
Step-by-step explanation:
3x - x = 2x
2(x + 2) = 2x + 2
for every number of x, 2x + 2 would always be larger than 2x.
so there is no solution, since the given equation is 2x is greater than 2x + 2.