<h3>
Answer: x ≥ 5</h3>
Since x is a natural number, this is the same as saying x > 4
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Explanation:
Let's solve for x
Since 
, this means x is a natural number and a value from the set {1,2,3,4,...} aka the set of positive whole numbers. Zero is not in the set of natural numbers.
So we'll need to round that 4.667 to the nearest whole number to get x ≥ 5
If we were to replace x with anything from the set {5, 6, 7, 8, ...}, then that would make the original inequality to be true.
The notation x ≥ 5 and x > 4 are identical when x is a natural number, because we're describing the same solution set of any whole number 5 or larger.
Answer:
<h2>F = 32.2m</h2>
Step-by-step explanation:
According to newton second law, the force of gravity on an object varies directly with its mass and it is expressed mathematically as Fαm i.e
F = mg where;
F is the force of gravity
m is the mass of the body
g is the proportionality constant known as the acceleration due to gravity.
If the constant of variation due to gravity is 32.2ft/s², the equation that represents F, the force on an object due to gravity according to m, the object’s mass can be gotten by substituting g = 32.2 into the formula above according to the law as shown;
F = m*32.2
F =32.2m
Hence the required equation is F = 32.2m
Answer:
2, 12, 36, 80
Step-by-step explanation:
Substitute n = 1, 2, 3, 4 into the n th term formula, that is
a₁ = 1³ + 1² = 1 + 1 = 2
a₂ = 2³ + 2² = 8 + 4 = 12
a₃ = 3³ + 3² = 27 + 9 = 36
a₄ = 4³ + 4² = 64 + 16 = 80
