25x+20y=455
x+y=20
20x+20y=400
-25x-20y=-455
-5x=-55
x=11
11+y=20
y=9
Solved it as well, sorry if I wasn't supposed to
Answer:
25
Step-by-step explanation:
so you can use proportions for this. Since 17 small planters can be made in 5 days you would put 5 Days under 17 SP (Sp = small planters) Then you would do 17 times x which equals 17x and 5 times 50 which equals 250. you would then divide them by each other . 250 divided by 17 is a bunch of numbers but to shorten it you can just put 14.705 or 15 if you round it.
17sp 50
----------------- 250/17 = x =14.705
5D x
you would then do the same to the other Large planters.
12LP 24. 120/12 = x = 10
-------------
5D. x
the question is how many days to make them ALL. so you would then add 10 + 14.705 which equals 24.705. then you can round that to 25 DAYS.
Let S(t) denote the amount of sugar in the tank at time t. Sugar flows in at a rate of
(0.04 kg/L) * (2 L/min) = 0.08 kg/min = 8/100 kg/min
and flows out at a rate of
(S(t)/1600 kg/L) * (2 L/min) = S(t)/800 kg/min
Then the net flow rate is governed by the differential equation

Solve for S(t):


The left side is the derivative of a product:
![\dfrac{\mathrm d}{\mathrm dt}\left[e^{t/800}S(t)\right]=\dfrac8{100}e^{t/800}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5Cleft%5Be%5E%7Bt%2F800%7DS%28t%29%5Cright%5D%3D%5Cdfrac8%7B100%7De%5E%7Bt%2F800%7D)
Integrate both sides:



There's no sugar in the water at the start, so (a) S(0) = 0, which gives

and so (b) the amount of sugar in the tank at time t is

As
, the exponential term vanishes and (c) the tank will eventually contain 64 kg of sugar.
Answer:
y=2/3x+1
Step-by-step explanation:
using the slope intercept formula, y=mx+b, where m is the slope, and b is the y intercept. So we get the equation y=2/3x+b, because the slope is given, then you use the given point and substitute it into the equation, 5=2/3(6)+b which you can solve and you will get 5=4+b, b =1, then you add 1 to your original equation to get your answer, y=2/3x+1
Answer:
E. (The function is exponetial)
Step-by-step explanation:
We look at the output values and subtract them from their previous value to see it's slope.
6-2 = 4
12-6 = 6
4 ≠ 6, meaning that the slope is not constant.
4 < 6, meaning that the slope is increasing, meaning the function is exponential.