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
Answer:
Step-by-step explanation:
We know that Mary has two twenty dollar bills, equaling to forty dollars in total.
So lets start on the first few things she buys, the berries, each costing 7.98 dollars and cents, since she only bought two, that means we need to multiply 7.98 by 2
==> 15.96 dollars and cents
Now we can take it out of forty.
$ 40.00
- $ 15.96
-------------------
$24.04
Now we only have 24.04 dollars and cents.
Now for the next few items, the peaches which costs 5.99 each, then since he only bought 3, we multiply 5.99 three times.
==> 17.97 dollars and cents
Now we can take it out of 24.04.
$24.04
- $ 17.97
--------------------
$6.07
Mary has 6 dollars and 7 cents in change.
Answer:steepness
Step-by-step explanation:
Answer:
Y
=
−
5
x
−
26
y
=
x
/5
−
6
/5
Step-by-step explanation:
Answer:
P(A n B) = 5
Step-by-step explanation:
From the venn diagram given, we can see that;
P(A) = 25
P(B) = 15
P(A n B) = 5
Thus,the correct answer of P(A n B) which is the intersection between A and B is 5
