<span>First, the inequality needs to be solved. The first step is to subtract 8 from both sides of the inequality, leading to 5r < 55. Dividing 5 out from both sides, this will leave r < 11. Next, to form a set notation, the inequality is written in such form: {r | r < 11}.</span>
We need to get the limits first. When y = 0
0 = 64x - 8x^2
x = 0 and x = 8
The volume is
V = ∫ y dx from 0 to 8
V = ∫ (64x - 8x^2) dx from 0 to 8
V = 32x^2 - 8x^3/3 from 0 to 8
V = 682.67<span />
Answer:
Space between 80 evenly spaced chairs = 21m
Step-by-step explanation:
So, according to the given statement, we have the following expression:
No. of chairs ∝
70 chairs are 24m apart, so it can be written as:
70 ∝
For, 1 chair , we divide both sides by 70
∝
1 ∝ -----------------------(Equation 1)
<u>For 80 chairs:</u>
Multiply both sides of <em>Equation.1</em> by 80
80 ∝
80 ∝
So according to the above relation,
<em>80 evenly spaced chairs will have a space of </em><em>21 m</em><em> between them.</em>