P(t)=500(1+4t/(50+t^2 ))
P'(t) = 500 [(50+t^2).4 - 4t.2t]/(50+t^2)^2
by the quotient rule
500 (-4t^2 + 200)/(t^2 + 50)^2
Hence
P'(2) = 500 . (-16 + 200)/54^2 ~= 31.6
What is it about. I think I can help you just got to explain what you need to do
Answer:
-1
Step-by-step explanation:
You can write it as...

Carry the 4x

Then use the quadratic formula to solve, since you want to find the negative solution, you don't need to find the positive solution, so we will have

Therefore our answer is -1
5 feet
Explanation:
If jack had a 1 foot long piece of rope than we can simply multiply 1 by 5 and we get 5. Hope this helps!
Answer:
6
Step-by-step explanation:
Sum of first 4 numbers= 4*5= 20
This includes 3 + 4th number
Sum of last 4 numbers= 4*8= 32
This includes 4th number + 3
Sum of 7 numbers= 7*(6+4/7)= 46
This includes 3+4th number +3
Number common to both sets= (20+32)- 46 = 6