<u>Answer:</u>
Vt = 4071.5 ft^3
<u>Step-by-step explanation:</u>
Givens:
Equations
- V = (4/3)(pi)r^3
Find: Vt (Total Volume)
Vt = (1/2)V1 + (1/2)(V2)
Vt = (1/2)(V1 + V2) <em>[Factor out (4/3) and (pi) from volumes]</em>
Vt = (1/2)(4/3)(pi)(R^3 + r^3) <em>[Sub in Values]</em>
Vt = 4071.5 ft^3
The equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The line that passes through the point (4, 8) and has a slope of -2.
On comparing the standard equation:
y = mx + c
Here m is the slope of the line and c is the y-intercept.
m = -2
y = -2x + c
Plug x = 4 and y = 8
8 = -2(4) + c
c = 16
y = -2x + 16
Thus, the equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.
Learn more about the linear equation here:
brainly.com/question/11897796
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