The answer is 10
8+(8)2÷4·2
8+16÷4·2 4·2=8 then 16÷8
8+2=10
just use PEMDAS
Point slope is y-y1=m(x-x1) where m is slope and x1 and y1 are the given x and y values.
y-(-1)=-3(x-7)
y+1=-3(x-7)
Final answer: B
Evaluated is 4/5
decimal form is 0.8
Proof by induction
Base case:
n=1: 1*2*3=6 is obviously divisible by six.
Assumption: For every n>1 n(n+1)(n+2) is divisible by 6.
For n+1:
(n+1)(n+2)(n+3)=
(n(n+1)(n+2)+3(n+1)(n+2))
We have assumed that n(n+1)(n+2) is divisble by 6.
We now only need to prove that 3(n+1)(n+2) is divisible by 6.
If 3(n+1)(n+2) is divisible by 6, then (n+1)(n+2) must be divisible by 2.
The "cool" part about this proof.
Since n is a natural number greater than 1 we can say the following:
If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
Therefore by using the method of mathematical induction we proved that for every natural number n, n(n+1)(n+2) is divisible by 6. QED.
57,800 is 23.8% of the total number of registered doctors.
To find out the number of registered doctors, we divide the number of female doctors by 23.8% as a decimal (which is just 0.238):
57,800 ÷ 0.238 = 242,857
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Answer:
So there are 242,857 registered doctors.
