Answer:
The liters that the tank will contain at 5:11 PM that day are:
Step-by-step explanation:
Firstly, you must identify the outlet flow of the water pumped from the tank, for this, you must subtract the last volume given from the first volume:
- 19,140 L - 8,097 L = 11,043 L
And the minutes that passed from the first volume until the last volume given (18 minutes from 4:47 PM to 5:05 PM), so, you must divide that two values to obtain the outlet flow:
- Outlet flow =
- Outlet flow =
- Outlet flow = 613.5
Now, you must see the next hour given (5:11 PM), if you see, from 5:05 PM to 5:11 PM has passed 6 minutes, taking into account this, you replace the equation of outlet flow to clear the volume:
- Outlet flow =
- Volume = Outlet flow * time
And replace the values to obtain the new volume pumped:
- Volume = 613.5 * 6 min
- Volume = 3681 L.
At last, you must subtract these liters from the last volume identified in the tank:
- New Volume in the tank = 8097 L - 3681 L
- New Volume in the tank = 4416 L
The volume in the tank at 5:11 PM is <u>4416 Liters</u>.
The surface area of the design is 5
Answer:
y=-70x+350
Step-by-step explanation:
Since x is the number of years since 1995, this means that at 1995, x=0. This also means that in 2000, x=5. The values of the stuffed animals were 350 in 1995 and 0 in 2000. The formula for slope is rise over run, so we can find the answer using this mathematical expression: y2-y1/x2-x1. Plugging in our values, we get 0-350/5-0 which simplifies into -350/5. This further simplifies into -70. Our slope is -70. The definition of y-intercept is the value of y when x=0. We know that x=0 at 1995 and the value for the stuffed animals was 350 at that time. This tells us that the y-intercept is 350. Slope-intercept form is y=mx+b, so plugging in our information, we get y=-70x+350.
Answer:
-58
Step-by-step explanation:
The -58 inside the absolute value lines turns it into a positive 58, but the added negative sign on the outside turns the 58 into a -58
185% = 185/100
185/100 = 37/20
The simplest form fraction of 185% is 37/20.