Answer:
4:6 or 2:3
Step-by-step explanation:
Since the ratio of mass of oxygen to carbon is 4:3, when there are two carbons the ratio will be 4:3*2=4:6=2:3. Hope this helps!
Proof by induction
Base case:
n=1: 1*2*3=6 is obviously divisible by six.
Assumption: For every n>1 n(n+1)(n+2) is divisible by 6.
For n+1:
(n+1)(n+2)(n+3)=
(n(n+1)(n+2)+3(n+1)(n+2))
We have assumed that n(n+1)(n+2) is divisble by 6.
We now only need to prove that 3(n+1)(n+2) is divisible by 6.
If 3(n+1)(n+2) is divisible by 6, then (n+1)(n+2) must be divisible by 2.
The "cool" part about this proof.
Since n is a natural number greater than 1 we can say the following:
If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
Therefore by using the method of mathematical induction we proved that for every natural number n, n(n+1)(n+2) is divisible by 6. QED.
The factor of the polynomial is (√5x - i√2)(√5x + i√2)(x + 4).
<h2>Polynomial</h2>
Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
Given
5x³ + 20x³ + 2x +8 is a polynomial.
<h3>To find </h3>
The factor of the polynomial.
<h3>How to find the factor of the polynomial?</h3>
5x³ + 20x³ + 2x +8 is a polynomial.
Take common, we get
5x²(x + 4) + 2(x + 4)
(5x² + 2) (x + 4)
[(x√5)² - (i√2)](x + 4)
(√5x - i√2)(√5x + i√2)(x + 4)
Thus, the factor of the polynomial is (√5x - i√2)(√5x + i√2)(x + 4).
More about the polynomial link is given below.
brainly.com/question/17822016
Answer:
4x/5-2
Step-by-step explanation:
The answers are Sample population and the Sample Size is Large Enough.
<h3>What are population and sample?</h3>
It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.
If the central Limit Theorem is applicable, this means that the sampling distribution of a sample population can be treated as normal since the sample size is large enough.
Also, It asserts that the distribution of the average of the sum of many identically distributed and independent variables will be approximately normal, irrespective of the statistical properties.
Thus, the answers are Sample population and the Sample Size is Large Enough.
Learn more about the population and sample here:
brainly.com/question/9295991
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