Answer:
V = 64 r^(9) * s^(6)
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V = ( 4r^3s^2) ^3
We know that ( ab) ^c = a^c * b^c
V = 4^3 * r^3^3 * s^2^3
V = 64 * r^3^3 * s^2^3
We know that a^b^c = a^(b*c)
V = 64 r^(3*3) * s^(2*3)
V = 64 r^(9) * s^(6)
Answer:
A boat would need 21 liters to cover the distance of 84 km.
Step-by-step explanation:
Given
A boat can travel 496 km on 124 liters of fuel.
To determine
How much fuel will it need to go 84 km?
It is stated that:
Distance covered in 124 liters of fuel = 496 km
Thus,
Unit rate = 496 km / 124 liters
= 4 km per liter
Thus,
The distance covered in 1 liter = 4km
In order to determine the distance covered in 84 km, all we need is to divide 84 km by 4.
i.e.
The fuel needed to go 84 km = 84 / 4 = 21 liters
Therefore, a boat would need 21 liters to cover the distance of 84 km.
Answer:
Solving quadratic equations can be difficult, but luckily there are several different methods that we can use depending on what type of quadratic that we are trying to solve. The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula.
Step-by-step explanation:
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Factor the numerator and denominator and cancel the common factors.
The answer is 3x.
(3x-4y)^2=9x^2-24x+16y^2
(3x-2)(9x^2+6x+4)=27x^3-8
