Answer:
Explanation:
You need to use derivatives which is an advanced concept used in calculus.
<u>1. Write the equation for the volume of the cone:</u>

<u />
<u>2. Find the relation between the radius and the height:</u>
- r = diameter/2 = 5m/2 = 2.5m
<u>3. Filling the tank:</u>
Call y the height of water and x the horizontal distance from the axis of symmetry of the cone to the wall for the surface of water, when the cone is being filled.
The ratio x/y is the same r/h
The volume of water inside the cone is:


<u>4. Find the derivative of the volume of water with respect to time:</u>

<u>5. Find x² when the volume of water is 8π m³:</u>
m²
<u>6. Solve for dx/dt:</u>


<u />
<u>7. Find dh/dt:</u>
From y/x = h/r = 2.08:

That is the rate at which the water level is rising when there is 8π m³ of water.
Answer:
h = 1.74
t = 1.19
Step-by-step explanation:
15.4t + 11.6h = 38.51
10.2t + 7.3h = 24.84
15.4•t + 11.6•h = 38.51
10.2•t + 7.3•h = 24.84
11.6h+15.4t = 38.51
7.3h+10.2t = 24.84
h = 87
50
= 1.74
t = 119
100
= 1.19
Answer:
dont understand clearly
Step-by-step explanation:
dont understand clearly
Looking at the problem statement, this question states for us to determine the range of the function that is provided in a graph is. Let us first determine what range is.
- Range ⇒ Range is what y-values can be used in the function that is graphed. For example, if a line just goes up and down all the way to negative and positive infinity, then the range would be negative infinity to positive infinity as it includes all of the y-values in it's solutions.
Now moving back to our problem, we can see that we have a vertex at (2, -5) and that the lowest y-values is at y = -5. Therefore the y-values would be anything greater than or equal to -5 and less than infinity because the lines go forever up in the positive-y-direction.
Therefore, the option that would best match the description that we provided would be option B, -5 ≤ y < ∞.
Answer:
24÷-6=-4
-15÷0.3=-50
-4+-20=-24
2/5÷3/4=0.5333
Step-by-step explanation:
Thats all i can get sorry :<
I hope it helps and hope its right