243.88 would be the nearest on a number line
Answer:
2 hours: 3968 <u>[I don't understand the $ sign in the answer box]</u>
At midnight: 12137
Step-by-step explanation:
The bacteria are increasing by 15% every hour. So for every hour we will have what we started with, plus 15% more.
The "15% more" can be represented mathematically with (1 + 0.15) or 1.15. Let's call this the "growth factor" and assign it the variable b. b is (1 + percent increase).
Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450
At the end of the second hour we're increased by 15% again:
(3450)*(1.15) = 3968.
Each additional hour add another (1.15) factor, If we assign a to be the starting population, this can be represented by:
P = a(1.15)^t for this sample that increase 15% per hour. t is time, in hours.
If a represents the growth factor, and P is the total population, the general expression is
P = ab^t
Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM. That is a 10 hour period, so t = 10
P = (3000)*(1.15)^10
P = 12137
Answer:
Step-by-step explanation:
π
To solve an equation with a rational (fraction) coefficient you need to multiply both sides of the equation by the reciprocal (invert the fraction - flip it).
The reciprocal of 1/6 is 6/1 or 6
The product of reciprocals equals 1
1x = 24
x = 24
Answer:
RST
Step-by-step explanation:
Look at the angles for M, N and O. They are equal to 79, 60, and 42 degrees, respectively. Now look at the triangle to the right of triangle MNO. In what order should we line up the letters so that the angles for that triangle should also equal 79, 60 and 42 degrees? If you look at it for a second, you should that this problem is easy to solve! Did you get it right! That's right, by lining up the angles in the order RST, the measure of each angle is equal to the measures of MNO.
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