Answer:
Step-by-step explanation:
50t/(t^2+25)
4(t) = [50(t^2+25)-50t(2t)]/(t^2+25)^2 = (-50t^2+1250)/(t^2+25)^2
= -50(t^2-25)/(t^2+25)^2
Roots of 4(t) are 5 and -5
Answer:
the theater needs to sell at least 100 tickets
Step-by-step explanation:
wants to make at least $1000 and they already have $50, so you take the $9.50 per ticket and add that to the $50.
$1000=$9.50t+$50
1000/50=9.5t
950=9.5t
950/9.5=t
t=100
Answer:
x=1000
Step-by-step explanation:
log x = 3
log10 ( x) = 3
Raise each side to the power of 10
10^( log10 ( x)) =10 ^3
x = 10 ^3
x = 1000
So we know that there are 1000 mL in 1 L. We can set up an equation that allows us to solve for how many bottles are needed in order to empty the 30 L tank:

This equation then allows us to cancel out the units of mL and L, leaving us with how many bottles are needed per tank. Then we multiply straight across to give us:

The question asks us to round up to the next whole number, so
it would take 86 bottles to empty one 30 L tank.