Answer:
The water level changing by the rate of -0.0088 feet per hour ( approx )
Step-by-step explanation:
Given,
The volume of a segment of height h in a hemisphere of radius r is,
Where, r is the radius of the hemispherical tank,
h is the water level, ( in feet )
Here, r = 9 feet,
Differentiating with respect to t ( time ),
Here,
And, h = 6 feet,
Thus,
Let us suppose that the number of grapes in the box is x and the number of grapes in the basket is y.
It means that the weight of the grapes in the box is x kg and that of basket is y kg.
It has been given that the box had twice as many grapes as a basket. Therefore, we have
Now when we add 2 kg to the basket then the weight of the basket is y+2 and the weight of box will remain same.
Now, we have been given that after 2 kilograms were added to the basket it contained 0.5 kilograms more than the box. Hence, we have
Substituting the value x=2y in the equation, we get
Therefore, the basket contains 1.5 kilograms of grapes.
The answer will be 4 weeks. You know the constant is 1.5 lbs per week and you will multiply that by however many weeks it takes to reach 176
197-(1.5x) would be your equation and since he’s already lost 15 pounds you will include that by subtracting 15 from the equation as well 197-(1.5(4))=191
191-15=176
A,d is the answer hope this helped
-4(2+4x)-2=-10-8x
-8-16X-2=-10-8X
+8X on both sides
-8-8X=-10
+8 on both sides
-8X=-2
divide by -8 on both sides
X=.25 is your answer