(X²-8X+5)-(-3X²+5X-9)
=X²-8X+5+3X²-5X+9
=4X²-13X+14
That's your answer lovely~
Answer: With 11 pipes, you need 31.82 minutes to fill the tank.
Step-by-step explanation:
Let's define R as the rate at which one single pipe can fill a tank.
We know that 7 of them can fill a tank in 50 minutes, then we have the equation:
7*R*50min = 1 tank
Whit this equation, we can find the value of R:
R = 1 tank/(7*50min) = (1/350) tank/min.
Now that we know the value of R, we can do the same calculation but now with 11 pipes.
Then the time needed to fill the tank, T, is such that:
11*(1/350 tank/min)*T = 1 tank
We need to isolate T.
T = 1 tank/(11*(1/350 tank/min)) = 31.82 min
With 11 pipes, you need 31.82 minutes to fill the tank.
Answer:
A-560
B-5600
Step-by-step explanation:
to find the answer for A we need to divide 3360 by 6 which gives us 560.
check: 560 x 6 = 3360
To find the answer for B we need to multiply the answer for A (560) by 10 which gives us 5600
Answer:
210.
Step-by-step explanation:
Combination formula is

Then, we have that n = 10 and r=6:


To simplify calculus, we are going to use that n! = (n-1)!n = (n-2)!(n-1)n and so on.





The house with 30000 cubic foot costs less to cool per cubic foot than the house with 25000 cubic foot.
Step-by-step explanation:
The cost of cooling 30000 cubic foot house = $7
Cost per cubic foot = 7/30000
=$0.00023
The cost of cooling 25000 cubic foot house= $6.50
Cost per cubic foot=6.50/25000
= $0.00026
The house with 30000 cubic foot costs less to cool per cubic foot than the house with 25000 cubic foot.