If parallelogram JKLM is rotated 270° counterclockwise around the origin, what are the coordinates of the endpoints of the side congruent to side KL in <span>the image parallelogram </span><span>K’(6, 4); L’(3, 3).</span>
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:
Given
Required
We have:
Substitute 
Hence:
A polynomial is written correctly when the exponents are listed in order from highest to lowest. The highest exponent then dictates the degree of the whole polynomial. The first choice above is written in standard form from highest degree to lowest. Doesn't matter that we might skip the x-squared term or any other x-term, as long as they're in order from highest to lowest. The degree on that first polynomial, the one you're after, is 4 because that's the highest exponent, and there are 4 terms there. Terms are "bunches" of numbers and variables stuck together by multiplication and separated by + or - signs.
