Answer:
) See annex
b) See annex
x = 0,5 ft
y = 2 ft and
V = 2 ft³
Step-by-step explanation: See annex
c) V = y*y*x
d-1) y = 3 - 2x
d-2) V = (3-2x)* ( 3-2x)* x ⇒ V = (3-2x)²*x
V(x) =( 9 + 4x² - 12x )*x ⇒ V(x) = 9x + 4x³ - 12x²
Taking derivatives
V¨(x) = 9 + 12x² - 24x
V¨(x) = 0 ⇒ 12x² -24x +9 = 0 ⇒ 4x² - 8x + 3 = 0
Solving for x (second degree equation)
x =[ -b ± √b²- 4ac ] / 2a
we get x₁ = 1,5 and x₂ = 0,5
We look at y = 3 - 2x and see that the value x₂ is the only valid root
then
x = 0,5 ft
y = 2 ft and
V = 0,5*2*2
V = 2 ft³
Answer:
100,000
Step-by-step explanation:
70,000 people = 70% of the population.
Divide 70,000 by 70 to get the number of population per 1%:
70000 ÷ 70 = 1000
Therefore, 1000 people represent 1% of the population.
To calculate 100% of the population, multiply the number of people representing 1% by 100:
1000 x 100 = 100,000
Therefore, the population of the town = 100,000
Answer:
a=20
Step-by-step explanation:
You cross multiply: 9a=180
a=20.
Simply mean to take it apart. The most basic way to decompose a fraction is to break into unit fractions
Answer:
66% off
Step-by-step explanation:
