Answer: s=-8
Step-by-step explanation:
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If a 12 gallon tank is filled with water at rate of 1/4 of the tank in 5 seconds, then it's filled with 3 gallons per 5 seconds (because 1/4 * 12 = 3). 5/6 of the tank is as much as 5/6 * 12 = 5 = 60/6 = 10 gallons.
If 3 gallons of the tank are filled in 5 seconds, then 10 gallons will be filled in (10 ÷ 3) * 5 = 3 1/3 * 5 = 16 2/3 seconds.
Answer: It will take 0 minutes and 16 2/3 seconds to fill 5/6 of the tank.
I hope that's what you meant :)
We can write an equation in terms of n, the amount of nickels:
25(3n+3)+10(n+1)+5n=265.
Thus:
90n+85=265
Subtracting 85, we have:
90n=180
Therefore, n=2. As such, Danielle has 2 nickels, 3 dimes, and 9 quarters.
The equation that gives the height is h(t) = - 16t^2 + 18t + 5, which is a parabola.
You cand find the maximum height from the vertex of the parabola.
Let's find the vertex. I will complete squares:
Start by extractin common factor -16:
-16t^2 + 18t + 5 = -16 [t^2 - (18/16) t - 5/16]
I will work with the expression inside the square brackets.
t^2 - (18/16)t - 5/16 = t^2 - (9/8) t - 5/16 =
Completing squares: (t - 9/16)^2 - (9 / 16 )^2 - 5/16
(t - 9/16)^2 - 81/ 256 - 5/16 = (t -9/16)^2 - 161/256
Now, include add include the factor -16[ (t- 9/16)^2 + 161/256 ] =
= -16 (t - 9/16)^2 + 161/16
That means that the vertex is 9/16, 161/16
So, the maximum height is 161 / 16 = 10,06, which is lower than the fence.
Answer: She will not make it over the fence.
The answer is A. MSRP. Hope this helped!
