Answer:
685,653 lb
Step-by-step explanation:
The weight of the liquid can be found by multiplying its volume by its density. The volume will be that of a hemisphere, which can be found using the appropriate formula.
<h3>Hemisphere volume</h3>
The volume of a hemisphere with radius r is given by ...
V = (2π/3)r³
When the radius is 15 ft, the volume is ...
V = (2π/3)(15 ft)³ = 2250π ft³
<h3>Weight</h3>
The weight of the liquid in the tank is found using the density.
W = ρV
W = (97 lb/ft³)(2250π ft³) = 218250π lb ≈ 685,653 lb
The total weight of the liquid in the tank is about 685,653 pounds.
Answer:
4
Step-by-step explanation:
g(n) varies inversely with n.
This can be expressed alternatively as \[g(n) = \frac{k}{n}\] where k is a constant value.
Given that when n = 3, g(n) = 8.
This implies, \[8 = \frac{k}{3}\]
Simplifying the equation to solve for k, k = 8 * 3 = 24
Now when g(n) = 6, \[g(n) = \frac{k}{n}\]
\[6 = \frac{24}{n}\]
Calculating the value of n, \[n = \frac{24}{6}\] = 4
So the required value of n is 4.
Step-by-step explanation:
2 (x-3)-4 (x+3)
Answer:
Step-by-step explanation:
There are two transformations, one vertical, one horizontal.
The + 9 part outside the absolute value sign moves the graph up 9 units.
Replacing x with x - 1 moves the graph right 1 unit.
<em>Comment:</em> The horizontal shifts sometimes appear backwards: x - 1 looks like a shift to the left, but it's not.
Example: f(4) = |4| = 4. To get the same output (4) from g(x), you have to use a value for x that is 1 unit <u>larger</u> than 4. g(5) = |5 - 1| = 4.
<em>≈ 24 cm</em>
- <em>Step-by-step explanation:</em>
<em>Hi there !</em>
<em>c = 2πr } => c = πd => d = c/π</em>
<em>2r = d</em>
<em>replace c ; π</em>
<em>π =3.14</em>
<em>d = 74cm/3.14</em>
<em>= 23.5668</em>
<em>≈ 24 cm</em>
<em>Good luck !</em>
