Answer:
the last vertex is (8,-8)
the area of the rectangle is 100 square units
Step-by-step explanation:
Answer:
#6 : C
#7 : B
#8 : D
#9 : B
#10 : B
#11 : D
#12 : D and E
#13 : A
Step-by-step explanation:
Hope it helps
Answer:
Following are the solution to the given choices:
Step-by-step explanation:
Using chebyshev's theorem
:
In point a)
In point b)
In point c)
In point d)
using standard normal variate
Okay, so this is just a basic multiplication problem. first, we need to divide to figure out how much the trout population grows after 1 year. If it doubles in 4 years, then it will rise by a quarter each single year. So to put that in terms of fractions, then for every year, the equation would be 250x1/4. So then we do the equation, coming up with 62.5. This means that the population rises roughly 63 fish a year. So after 1 year, you will have roughly 313 fish. (312.5 to be exact). Then to get that by ten years, we can just multiply the number that we got for one year by ten. 62.5x10=625. So then we add the 250 original trout, and 250+625=875. So after 10 years, there will be 875 trout.
Hello from MrBillDoesMath!
Answer:
x = log5 / ( (1/2)log6 + log5)
approximately 0.642
Discussion:
Take the logarithm of both sides ( to "pull" the exponents down so we can work on them!)
6^(x/2)) = 5^(1-x)
log ( 6^(x/2)) = log (5^(1-x)) => using log (a^n) = n log a
(x/2) log6 = (1-x) log5 => add x log5 to both sides
(x/2) log6 + xlog5 = log5 - xlog5 + xlog5 =>
(x/2) log6 + xlog5 = log5 => factor x from the lhs
x ( (1/2) log6 + log5) = log5 =>
x = log5 / ( (1/2)log6 + log5)
The above can be further simplified but that's as far as I want to take it.The value of x is approx equal to 0.642
Thank you,
MrB
