Prove:
Using mathemetical induction:
P(n) = 
for n=1
P(n) = 
= 6
It is divisible by 2 and 3
Now, for n=k, 
P(k) = 
Assuming P(k) is divisible by 2 and 3:
Now, for n=k+1:
P(k+1) = 
P(k+1) = 
P(k+1) = 
Since, we assumed that P(k) is divisible by 2 and 3, therefore, P(k+1) is also
divisible by 2 and 3.
Hence, by mathematical induction, P(n) = is divisible by 2 and 3 for all positive integer n.
It’s an logistic management i don’t know what is the question doe
Answer:
The area of the whole field is 54400yd^2
Step-by-step explanation:
says that I add 10 yards in each zone, that means that 10 yards is added twice at 1000 yards
1000yd + 2*10yd = 1020yd
we have to know that one yard equals 3 feet
so to have the length in feet we only multiply it by 3
1020 * 3 = 3060ft
Now that we know the length and width of the court, we can calculate the area by multiplying them
a = b * h
a = 3060ft * 160ft
a = 489600 ft^2
the result is in square feet
if we want it in square yards we just have to divide 2 times by 3
489600/(3*3) = 54400yd^2
IF n is a positive integer THEN n mod 2=0
IF n is an odd integer THEN n mod 2=1
SO you can draw that conclusion.
You are welcome.
Answer:
you just have to check the first and the third box
Step-by-step explanation:
put each into slop intercept form
y+6=-5(x-2) is the same as y=-5x+4
y-2=-5(x+6) is the same as y=-5x-28
y=-5x+4
y=-5x-28
all of them have a slope of -5, but you need to plug in (2,-6) to see which on is true
