Answer:
7
Step-by-step explanation:
This is a 7th degree polynomial. There should be 7 roots. Note how degree of poly = number of roots.
Answer:
B. 90 degrees counterclockwise
Step-by-step explanation:
Answer:
3 hrs 4.6 mins
Step-by-step explanation:
1/5 + 1/8 = 1/x
x = 40/13
Answer:
- A. Slope = -2, y-intercept = 2/3
Step-by-step explanation:
<u>Convert the given equation into slope-intercept form:</u>
- 3(y - 2) + 6(x + 1) - 2 = 0
- 3y - 6 + 6x + 6 - 2 = 0
- 3y + 6x - 2 = 0
- 3y = - 6x + 2
- y = - 2x + 2/3
The slope is -2, the y-intercept is 2/3
Correct choice is A
We use P = i•e^rt for exponential population growth, where P = end population, i = initial population, r = rate, and t = time
P = 2•i = 2•15 = 30, so 30 = 15 [e^(r•1)],
or 30/15 = 2 = e^(r)
ln 2 = ln (e^r)
.693 = r•(ln e), ln e = 1, so r = .693
Now that we have our doubling rate of .693, we can use that r and our t as the 12th hour is t=11, because there are 11 more hours at the end of that first hour
So our initial population is again 15, and P = i•e^rt
P = 15•e^(.693×11) = 15•e^(7.624)
P = 15•2046.94 = 30,704
