Answer:
7.5 ft³/min
Step-by-step explanation:
Let x be the depth below the surface of the water. The height, h of the water is thus h = 10 - x.
Now, the volume of water V = Ah where A = area of isosceles base of trough = 1/2bh' where b = base of triangle = 4 ft and h' = height of triangle = 1 ft. So, A = 1/2 × 4 ft × 1 ft = 2 ft²
So, V = Ah = 2h = 2(10 - x)
The rate of change of volume is thus
dV/dt = d[2(10 - x)]/dt = -2dx/dt
Since dV/dt = 15 ft³/min,
dx/dt = -(dV/dt)/2 = -15 ft³/min ÷ 2 = -7.5 ft³/min
Since the height of the water is h = 10 - x, the rate at which the water level is rising is dh/dt = d[10 - x]/dt
= -dx/dt
= -(-7.5 ft³/min)
= 7.5 ft³/min
And the height at this point when x = 8 inches = 8 in × 1 ft/12 in = 0.67 ft is h = (10 - 0.67) ft = 9.33 ft
-0.65
-3/8
2/4
5/16
I hope this is right, the negatives should go first because you are taking away, then positives
You have cards with the letters A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P. Event U is choosing the cards A, B, C
Thepotemich [5.8K]
Answer:
If you are asking how many events use P: 1 event is using the letter P (event W)
Step-by-step explanation:
Why event U cannot be using P: This event is only using the letters A, B, C, and D.
Why event V cannot be using P: This event is only using vowels (A, E, I, O, U)
Answer:
here you go
Step-by-step explanation:
20) 3125.76
do 4%*8= 0.32 then 0.32*9768=3125.76
21) Evan- 10%, Jordan-26%, Curt 64%
22) 22 votes (the answer would be 22.62 but you have to round down)
Parallel lines are equal to each other(congruent). the slope is 4
