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kolbaska11 [484]
2 years ago
15

Describe the solutions in words to the inequality 4 < c + 2

Mathematics
1 answer:
MAVERICK [17]2 years ago
6 0

Answer:

<em>All </em><em>real </em><em>numbers </em><em>are </em><em>greater </em><em>than </em><em>four</em>

Step-by-step explanation:

4+2=6

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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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Answer:

  47.4%

Step-by-step explanation:

The total amount Louise spent on Frappuccinos was 4×$4.50 = $18. The fraction that is of the total is ...

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That can be converted to a percentage by multiplying by 100%:

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<em>Additional comment</em>

The decimal equivalent of 9/19 is a repeating decimal with an 18-digit repeat.

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Answer:

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Step-by-step explanation:

The temperature on February 9th 1934 = -15°C

The next day the temperature rose 42 degrees.

We need to find an expression for the temperature on February 10th.

February 10th temperature = -15 + 42

= 27°C

So, the temperature on February 10th is 27°C.

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