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3 years ago

15

Ari’s chickens eat their pellets at a constant rate throughout each day.

1 answer:

oksano4ka [1.4K]3 years ago

4 0

If we make the days and ounces be in the ordered pair, the points are: (2, 39), (4, 33), (6, 27), and (8, 21). We may use linear regression from the calculator using the equation,
y = Ax + B
where A is the slope. The value of A from the linear regression is equal to -3.

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Prove by mathematical induction that 1+2+3+...+n= n(n+1)/2 please can someone help me with this ASAP. Thanks

Iteru [2.4K]

Let

$P(n):\ 1+2+\ldots+n = \dfrac{n(n+1)}{2}$

In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:

$P(1):\ 1 = \dfrac{1\cdot 2}{2}=1$

So, the base case is ok. Now, we need to assume $P(n)$ and prove $P(n+1)$ .

$P(n+1)$ states that

$P(n+1):\ 1+2+\ldots+n+(n+1) = \dfrac{(n+1)(n+2)}{2}=\dfrac{n^2+3n+2}{2}$

Since we're assuming $P(n)$ , we can substitute the sum of the first n terms with their expression:

$\underbrace{1+2+\ldots+n}_{P(n)}+n+1 = \dfrac{n(n+1)}{2}+n+1=\dfrac{n(n+1)+2n+2}{2}=\dfrac{n^2+3n+2}{2}$

Which terminates the proof, since we showed that

$P(n+1):\ 1+2+\ldots+n+(n+1) =\dfrac{n^2+3n+2}{2}$

as required

4 0

3 years ago

27x^2y^4÷16yz^4×8z÷9xy^4

arlik [135]

I think that the answer is 3x/2yz^3 because I did [(27x^2y^4/16yz^4)*(8z/9xy^4)].

8 0

4 years ago

What is the answer to (8+10) x1/2 =

Katen [24]

Answer:

9

Step-by-step explanation:

18 x 1/2

18/2

9

3 0

3 years ago

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A jar of marbles has 27 green marbles. This represents 30% of the marbles in the jar. How many total marbles are in the jar? Ple

Brums [2.3K]

Answer:

90 i think

Step-by-step explanation:

6 0

3 years ago

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What is the value of s in the equation 3r = 10 + 5s, when r = 10

zhuklara [117]

35s is the answer i got.

3 0

3 years ago

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