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Fofino [41]
3 years ago
11

The sum of t and 7 is less than -3

Mathematics
2 answers:
ipn [44]3 years ago
6 0

Answer:

t+7<3

Step-by-step explanation:

kinda meaning like t is a number less than 3 that when added to three the outcome would be 7 (thanks and sorry)

dimulka [17.4K]3 years ago
4 0

if your asking for the equation, it's t + 7 < 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​
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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

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3 years ago
Elizabeth uses 23.25 ounces of granola and 10.5 ounces of raisins for 15 servings of trail mix.If each serving contains the same
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Answer:

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Step-by-step explanation:

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3 years ago
When planning his crops, Farmer Tim knows that his 7 acres can support peas and carrots. He wants to make $7,000 from his crops.
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This is the concept of algebra, we are required to get the equation that would be a constraint in the system of equation,
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The correct answer is C.
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