Answer:
F = - 10.417 × 10²¹ N
since, the charges are opposite in nature, thus they will attract.
Step-by-step explanation:
Data provided in the question:
charges
q₁ = 5 C
q₂ = -3 C
r = 3.6 × 10⁻⁶ m
now,
the force (F) between the two charges is given as:
k is the coulomb's constant = 9 × 10⁹ N·m²/C²
on substituting the values, we get
or
F = - 10.417 × 10²¹ N
since, the charges are opposite in nature, thus they will attract.
C(x) = 4x³+7x²-14x-6
Step-by-step explanation:
Given that the amount of water used in normal days is given by the equation;
W(x) = 5x³ +9x²-14x +9 -----(i)
The amount of decrease in water used is modeled by the equation;
D(x)= x³+2x² +15--------(ii)
To get the function C(x) that models the water used by the car wash on shorter day you subtract equation (ii) from equation(i)
5x³ +9x²-14x +9
- x³+2x² +15
-------------------------
4x³+7x²-14x-6
Learn More
Subtraction in polynomials : brainly.com/question/2273346
Keywords : equation, modeled,
#LearnwithBrainly
Answer:
108 units
Step-by-step explanation:
Volume = length × width × height
V = 4 × 3 × 9
V = 108 units
Answer:
Radius = 6.46 meters
Height = 1.46 meters
Step-by-step explanation:
The volume of a cylinder = πr²h
In the above question, we were given
r = (x + 5) meters
h = x meters
Volume = 192 cubic meters
Hence,
192 = π × (x + 5)² × x
192 = π × (x² + 10x + 25) × x
192 = π × (x³ + 10x² + 25x)
Divide both sides by π
192/π = x³ + 10x² + 25x
61.115498147 = x³ + 10x² + 25x
x³ + 10x² + 25x - 61.12
This Quadratic equation is a polynomial
x = 1.46119
From the above:
Radius = (x + 5)meters
Radius = 1.46119 + 5 = 6.46119 meters
Approximately to 2 decimal places = 6.46 meters
Height = x meters
Height = 1.46119 meters
Approximately to 2 decimal places = 1.46 meters
Answer:
where are the transformations
Step-by-step explanation:
