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2 shapes that have the exact same size and shape are CONGRUENT.
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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: Original Price: $5
Step-by-step explanation:
x+0.2x=6
1.2x=6
x=5
Original Price: $5
K/75 + 57.1 = 40.8
k/75 = 40.8 - 57.1
k/75 = -16.3
k = -16.3 • 75
k = -1222.5 or -1222 1/2
Hope it helps!
Answer:
Step-by-step explanation:
7-x=10
subtract -7 from both sides
-x=10-7
-x=3
x=-3
