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Mathematics

1 answer:

Alex Ar [27]4 years ago

6 0

There is a app (look up the equation in google and it should show up. Its called M.A.T.H.W.A.Y... Only the m is capitalized and take the dots away... the thing kept saying that I couldn't type it so sorry that I can't) that can help! It helps with all sorts of math! Best of all, no points or money is needed!

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Which equation could be used to solve the problem? The Petersons' new car can go 32 miles on a gallon of gasoline. At that rate,

solong [7]

Easy, the answer is A.

If you can get 32 miles on a gallon of gasoline, and have 8 gallons, take:

32*8=256

So, on 8 gallons of gas, you can go 256 miles.

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3 years ago

Part II Prove that 7" – 1 is a multiple of 6 for all n EN (Use Mathematical Induction!)

Alisiya [41]

Answer:

Below.

Step-by-step explanation:

To prove this for mathematical induction, we will need to prove:

Part 1) That $7^n-1$ is a multiple of 6 for n=1.

Part 2) That, if by assuming $7^{n}-1$ is a multiple of 6, then showing $7^{n+1}-1$ is a multiple of 6.

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Part 1) If n=1, we have $7^n-1=7^1-1=7-1=6$ where 6 is a multiple of 6 since 6 times 1 is 6.

Part 2) A multiple of 6 is the product of 6 and k where k is an integer. So let's assume that there is a value k such that $7^n-1=6k$ for some number natural number $n$ .