Step-by-step explanation:
<h3>#1)</h3>
As per the question, when the flow rate is negative, oil is moving into the small tank.
The large tank started with 600 gallons of oil. The recorded flow rate was - 4 gallons/ min.
That is, In one minute, 4 gallons of oil is moving from the large tank to the small tank.


Therefore, after 32 mins <u>1</u><u>2</u><u>8</u><u> </u><u>gals</u><u> </u><u>of</u><u> </u><u>oil</u><u> </u><u>has</u><u> </u><u>flown</u><u> </u><u>into</u><u> </u><u>the</u><u> </u><u>small</u><u> </u><u>tank</u><u>.</u>
<h3 /><h3> #2)</h3>
After 32 mins, the large tank lost 128 gallons of oil.
The remaining oil in the large tank = 600 - 128
=<u> 472 gallons </u>
The answer is 0.0055 rounded
Answer:
2.25 radians
Step-by-step explanation:
First we need to find the length of the circunference, using the formula:
C = 2 * pi * r
Where r is the radius. Using r = 8, we have:
C = 2 * pi * 8 = 50.2655 cm
Now, to find the measure of the central angle related to that arc of 18 cm, we can use a rule of three, knowing that the whole circunference has a central angle of 2pi radians:
2pi rad -> 50.2655 cm
x -> 18 cm
x = 18 * 2pi / 50.2655
x = 2.25 rad
Answer:
d. y = (x +2)(x -3)
Step-by-step explanation:
When p is a zero of the function (an x-intercept), the function has (x -p) as a factor.
Here, the x-intercepts are x = -2 and x = 3. This means the factors of the function are (x -(-2)) = (x +2) and (x -3).
y = (x +2)(x -3)
Answer:
65, 90, 30, 24(in order abcd)
Step-by-step explanation:
The sum of all angles in a triangle is 180 degrees, so knowing this, you should be able to get all of them.
1) x+65+50 = 180, so x= 65
2)x+34+56 =180, so x= 90
3)90+3x=180, so x=30
4)90+66+x=180, x=24