Answer:
Step-by-step explanation:
Answer:
b = 6 sqrt(2)
Step-by-step explanation:
Since this is right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
3^2 + b^2 = 9^2
9+b^2 = 81
b^2 = 81-9
b^2 = 72
Take the square root of each side
sqrt(b^2) = sqrt(72)
b = sqrt(36*2)
b = 6 sqrt(2)
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
Answer:
-0.111c + 1 = 0.889c = c=1
Subtract 0.889c from both sides:
−0.111c+1−0.889c=0.889c−0.889c
−c+1=0
Subtract 1 from both sides.:
−c+1−1=0−1
−c=−1
Divide both sides by -1.:
-c/1 = -1/-1
Therefore, your answer is c=1
9514 1404 393
Answer:
{-8, -4, -2, -1, 1, 2, 4, 8}
Step-by-step explanation:
Possible rational roots are positive and negative divisors of the constant 8:
{-8, -4, -2, -1, 1, 2, 4, 8}
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<em>Additional comment</em>
This polynomial has no rational roots. Its two real roots are both negative and irrational.
