Answer:
Step-by-step explanation:
The formula of a surface area of a cube:
The formula of a volume of a cube:
We have
Calculate the edge length (<em>a</em>).
<em>divide both sides by 6</em>
Calculate the volume of a cube:
Answer:
The mean is 85.25
The medium is 86
The mode is 92
Step-by-step explanation:
The mean is all the numbers added divided by the number of values.
77 + 92 + 80 + 92 divided by 4
341 divided by 4 = 85.25
The median is the middle number
92 + 80 divided by 2
172 divided by 2 = 86
The mode is the number that occurs the most which is 92.
Answer:
The conclusion is invalid.
The required diagram is shown below:
Step-by-step explanation:
Consider the provided statement.
Great tennis players use Hexrackets. Therefore, if you use a Hexracket, you are a great tennis player.
From the above statement we can concluded that Great tennis players use Hexrackets. But it may be possible that some people who use a haxracket are not great tennis player.
Therefore, the conclusion is invalid.
The required diagram is shown below:
Answer:
c≥2(x-2) ÷ 5
Step-by-step explanation:
5c+3≥6x-8
5c ≥6x-8-3
5c≥6x-12
c≥(6x-12) ÷ 5
c≥ 2(x-2) ÷5
Answer:
The two iterations of f(x) = 1.5598
Step-by-step explanation:
If we apply Newton's iterations method, we get a new guess of a zero of a function, f(x), xₙ₊₁, using a previous guess of, xₙ.
xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)
Given;
f(xₙ) = cos x, then f'(xₙ) = - sin x
cos x / - sin x = -cot x
substitute in "-cot x" into the equation
xₙ₊₁ = xₙ - (- cot x)
xₙ₊₁ = xₙ + cot x
x₁ = 0.7
first iteration
x₂ = 0.7 + cot (0.7)
x₂ = 0.7 + 1.18724
x₂ = 1.88724
second iteration
x₃ = 1.88724 + cot (1.88724)
x₃ = 1.88724 - 0.32744
x₃ = 1.5598
To four decimal places = 1.5598
